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SIMPLE 
 
 ELEMENTS OF NAVIGATION. 
 
 BY 
 
 LUCIEN YOUNG, 
 
 U. S. Navy. 
 
 
 NEW YORK: 
 
 JOHN WILEY & SONS, 
 53 EAST TENTH STREET. 
 
 1890. 
 

 Copyright, 1890, 
 
 BY 
 JOHN WILEY & SONS. 
 
 DRUMMONB & NETT, FERRIS BROS., 
 
 Electrot t/pers, Printers, 
 
 1 to 7 Hague Street, 326 Pearl Street, 
 New York. iNiew York. 
 
PREFACE. 
 
 THIS little work is not intended to supply any presumed de- 
 ficiency in other books treating of the same subject, but to 
 preserve one common method throughout and to omit all 
 complicated mathematical formulae and calculations beyond 
 the reach of men of limited education. 
 
 The most simple elements of navigation only are treated of, 
 and the tables added to make the little work complete in 
 everything necessary to navigate a vessel to any port of the 
 globe. 
 
 By a study of no other instructions than those contained in 
 this little treatise, the nautical apprentice can soon n't himself 
 for promotion; the merchantman make himself competent to 
 conduct his vessel to his destination; and the owner of a yacht, 
 with a little trouble, become able to co-operate with his captain. 
 Other works are intended for the use of accomplished mathe- 
 maticians or experienced navigators. 
 
 
 
 111 
 
CONTENTS. 
 
 CHAPTER I. 
 
 PAGE 
 
 DEFINITIONS, DESCRIPTION AND >USE OF INSTRUMENTS, .... 1 
 
 CHAPTER II. 
 PILOTING OR COASTING, . . . .... 21 
 
 CHAPTER HI. 
 FINDING THE POSITION BY DEAD-RECKONING, 24 
 
 CHAPTER IV. 
 DEFINITIONS AND DESCRIPTION OF INSTRUMENTS USED IN OBSERVATIONS, 35 
 
 CHAPTER V. 
 
 To FIND THE LATITUDE BY OBSERVATION, ....... 40 
 
 CHAPTER VI. 
 To FIND THE LONGITUDE BY OBSERVATION, . . . . . .45 
 
 CHAPTER VII. 
 To FIND THE POSITION BY A SUMNER, . .... 52 
 
 CHAPTER VIII. 
 To FIND THE TOTAL ERROR OF THE COMPASS BY OBSERVATION, . . GO 
 
 CHAPTER IX. 
 
 CAUSES THAT AFFECT NAVIGATION AT SEA, . . , , .65 
 
 CHAPTER X. 
 AIDS TO NAVIGATION, . . 77 
 
 CHAPTER XI. 
 
 REGULATIONS FOR. PREVENTING COUJSIONS AT SEA, . . . .98 
 
 v 
 
VI CONTEXTS. 
 
 TABLE I. 
 
 PAGE 
 
 DIFFERENCE OF LATITUDE AND DEPARTURE FOR DEAD-RECKONING, . 114 
 
 TABLE II. 
 CORRECTIONS FOR ALTITUDE, . .160 
 
 TABLE III. 
 DECLINATION OF THE SUN , . . .162 
 
 TABLE IV. 
 EQUATION OF TIME, ....,,,,.. 172 
 
 TABLE V. 
 
 SINES, COSINES, SECANTS, ETC., . .178 
 
SIMPLE ELEMENTS OF NAVIGATION, 
 
 CHAPTER I. 
 DESCRIPTION AND USE OP INSTRUMENTS. 
 
 Definitions. NAVIGATION is the science which treats of 
 the determination of a ship's position at sea and the particular 
 direction a vessel should steer to reach any given place. It 
 may be said to consist of two kinds: 
 
 Firstly, the science of navigation by which the position of 
 the ship is determined from day to day by referring it to some 
 other geographical spot, such as a known landmark, a deter- 
 minate bottom, or a previously defined place. 
 
 Secondly, the science by which the position of the ship is 
 determined from observations of the heavenly bodies. 
 
 The voluminous works on this subject are full of difficult 
 and complicated calculations, which only an expert mathema- 
 tician could understand They are beyond reach of the class 
 f young men of limited education, who enter an apprentice- 
 ship either in the merchant marine or the naval service. More- 
 over, these works are filled with many methods by which the 
 same problem is solved, embarrassing to the beginner instead 
 of instructing him. 
 
 In order to simplify this as much as possible it is proposed 
 to imagine a vessel in port with everything stowed ready for 
 sea, and to confine the problems to the most common methods 
 in her voyage to some other port across the ocean. 
 
 Use of Instruments. The first thing to do on going on 
 board is to become acquainted with the use and application of 
 such instruments as are necessary to determine the distance 
 which the ship sails, the direction in which she is steered, and 
 
2 SIMPLE ELEMENTS OF NAVIGATION. 
 
 to deduce, from the data these instruments furnish, the situa- 
 tion of the ship at any time, and to find the distance and di- 
 rection of any place to which it may be required that the ship 
 should be taken. 
 
 Hand-lead is used to obtain soundings in shallow water, 
 with a view of safely guiding the ship over shoals, through 
 channels to an anchorage, or to sea; it is in weight ranging 
 from five to fourteen pounds. 
 
 Deep-sea Lead is used to obtain soundings in deeper water 
 and to ascertain the nature of the bottom; it is in weight 
 ranging from twenty-five to one hundred pounds; is hollow at 
 the bottom, for placing a lump of tallow called the Arming. 
 The nature of the bottom is indicated by the portion of the 
 bottom brought up in the arming. 
 
 In heaving this lead the headway of the ship must be 
 checked to get a cast; to obviate this many ingenious instru- 
 ments have been invented by which the soundings can be 
 taken from a ship running at full speed, in water of any depth 
 not exceeding one hundred and fifty fathoms (a fathom is six 
 feet). Some of these instruments register the depth of water 
 descended through by wheel-work set in motion by a fly, and 
 others by the condensation of air contained in a glass tube by 
 the pressure of water ; but the most common one in use is the 
 Thomson sounding-machine, which has a glass tube connected 
 with a sinker, closed at the top and coated inside with 
 chromate of silver ; the increased pressure at greater depths 
 drives the water up the tube, and its action leaves a white 
 mark, the position of which is estimated by a scale, and it is 
 independent of the amount of line run out. A small steel 
 wire is used instead of a line, and is coiled on a light reel. 
 
 Log: and Glass are used to measure the rate of sailing, and 
 a timepiece to note the interval. The log consists of several 
 parts chip, bridle, line, and reel. 
 
 Log-chip is a thin piece of wood, in the form of a sector 
 of about five inches radius, weighted on the circular edge with 
 lead sufficient to make it swim upright in the water. 
 
 At each of the three corners is a hole, through which two 
 of the legs of the bridle are rove and knotted ; the third leg 
 has a peg of wood in the end, which, when the log is hove, is 
 firmly pressed into the unoccupied hole : it remains thus while 
 the line is running out, and pulls away when the line is being 
 
DESCRIPTION AND USE OF INSTRUMENTS. 
 
 hauled in. The legs of the bridle are about two feet long, 
 and bent to the outer end of the log-line. 
 
 LOG-CHIP. 
 
 Log-line is a small line of about 150 fathoms long, one end 
 attached to the bridle and the other fastened to a " reel," 
 over which the log-line is wound. At about 15 fathoms from 
 
 LOG-REEL. 
 
 the chip a white rag is placed to mark what is called the 
 " stray-line," which permits the chip to clear the wake of the 
 ship or swash of the propeller. From this rag inboard the 
 line is divided into equal portions by bits of small line through 
 the strands of the log-line, and designated by the number of 
 knots in each; hence are called knots. The length of each of 
 these divisions of the line bears the same ratio to the nautical 
 mile that the glass does to an hour. The division of the line 
 between the knots is divided into tenths, marked by a small 
 string. 
 
SIMPLE ELEMENTS OF NAVIGATION. 
 
 LOG-GLASS. 
 
 Log-glass is an ordinary sand-glass constructed so as to 
 
 permit the sand to run from one end to" 
 the other in a certain time : those in 
 common use are the long-glass, which 
 requires 28 seconds, and the short-glass, 
 14 seconds, to run through. The line is 
 graduated for the long-glass, and when 
 the short-glass is used the knots indicated 
 should be doubled. 
 
 Heaving the Log. In using these it 
 is called heaving the log. One man 
 holds the reel in a horizontal position 
 and another holds the glass with the sand 
 down, while a third takes the log-chip 
 and presses the peg into its place, then 
 unwinds a quantity of line, and holding it 
 faked in his hand, calls " Clear glass," 
 repeated by the man holding the glass. 
 The one with the line throws the chip 
 over the lee quarter to clear the wake, and permits the line to 
 run freely through his hand, feeding and checking if neces 
 sary, and when the white rag passes his hand he cries out 
 "Turn ;" the glass is then turned. The glass-holder answers 
 Turn, and holds the glass up so as to permit the sand to run 
 through. The moment the sand is run out the glass-holder 
 calls out " Up," when the line is checked and the knots and 
 tenths indicated. The log is hove every hour, and should be 
 whenever the course is changed. 
 
 Log Adjustments. The log requires to be frequently ad- 
 justed, to do which the peg should be examined and found to 
 fii sufficiently tight. The log-line shrinks unequally, and re- 
 quires to be frequently verified. A convenient method is by 
 having nails placed in the deck at proper distances to measure 
 from, the line being wet at the time. In damp weather the 
 sand in the glass becomes wet, and is not only retarded, but 
 often hangs altogether : when this is the case the cork stopper 
 in the end is removed, the sand taken out and replaced by dry, 
 or the quantity of sand can be reduced or increased in this way 
 when the glass is in error. The glass error is found by com- 
 parison with the second hand of a watch or a small second pen- 
 dulum. A pendulum for comparison can easily be constructed 
 
DESCRIPTION AM) USE OF INSTRUMENTS. 
 
 by having hung from a nail a small bullet by a thread 
 'inches long from the centre of the bullet to the nail. 
 
 Many and most efficient patent logs have been devised, and 
 have been found very accurate, and have been frequently sub- 
 stituted for the common log ; however, one acts as a check on 
 the other, and both should be used. The most common of 
 these is the Taffrail Log, which consists of a rotator or fly 
 towed astern clear of the wake by a line, and the register is 
 attached to the taff rail. As the fly is drawn through the water 
 in a horizontal position, the motion is communicated by means 
 of the connecting cord to the wheel-work within the register, 
 and sets in motion the indices. By this means the rate of the 
 ship can be read off at any time by simply going to the rail 
 and noting the interval it takes the dial to make one mile. 
 
 Ground-log is a log adapted for use in shoal water to ascer- 
 tain when in doubt the set of the current ; it consists of a small 
 lead and a line divided in the same manner as the common 
 line. When hove, the lead remains on the bottom and the 
 line gives the combined motion of the ship through the water 
 and that of the current. 
 
 Compass denotes the direction sailed, and indicates the 
 future course. The compass is simply an instrument which 
 utilizes the directive powers of the magnet. 
 
 Card and Needle. The essential part of the mariner's com- 
 pass consists of a circular card upon which are marked the 
 various points, and is carried by a magnetized needle placed 
 under the line joining the north and south points. 
 
 The needle is freelj r balanced upon a fine pivot rising from 
 the bottom of a brass or copper bowl by means of a small 
 agate cup fixed in the centre of the needle. 
 
 Compass Bowl, containing the needle and card, is carried 
 on gimbals, so that it may at any time remain level in what- 
 ever direction the ship may roll or pitch. The bowl has a 
 glass cover, and is fitted to carry lights to illuminate the face 
 of the card at night. This case and stand is called the Bin- 
 nacle. 
 
 Lubber's Point, Inside the bowl is painted a black ver- 
 tical line, commonly called the lubber's point. The centre of 
 the compass card and this lubber's point should be in a line 
 with the keel of the vessel, and the point marked on the card 
 
6 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 the ship is to be steered should be kept coincident with this 
 point. 
 
 Points of the Compass. The compass card is divided 
 into four quadrants by two diameters perpendicular to the 
 other ; the ends of these diameters are called north, south, east, 
 and west, and are marked N., S., E., W.: they are termed the 
 *' Cardinal points." Each of these quadrants is divided 
 into eight equal spaces or points ; hence there are thirty-two 
 points to the compass. These thirty-two points are in turn 
 subdivided into half and quarter points. 
 
 The following figure will show the names of these points. 
 
 MARINER'S COMPASS. 
 
 The half and quarter points are indicated from any of the 32 
 points towards one of the cardinal points, thus: N. \ E. means 
 half a point from the north towards the east. SW. | W. 
 means half a point from the southwest towards the west. 
 
DESCRIPTION AND USE OF INSTRUMENTS. 7 
 
 Boxing the Compass. To be able to repeat the names of 
 these points consecutively is called boxing the compass. 
 
 The compass card is also divided into degrees for the con- 
 venience of taking bearings, and the following table will give 
 the points, half and quarter points, with the corresponding 
 degrees from which they can be easily converted one to the 
 other. 
 
 Degrees 
 
 ts 
 
 o 
 PH 
 
 05 
 
 W 
 
 H 
 
 
 
 O 
 
 w 
 
 Q 
 
 O 
 
 H 
 fc 
 
 CO 
 
 03 
 H 
 
 525 
 
 i i 
 
 O 
 
 PH H - 
 
 C5 
 Z 
 
 i i 
 
 g 
 
 H 
 > 
 5ZJ 
 
 O 
 O 
 
 M 
 O 
 
 fa 
 
 H 
 J 
 
 pa 
 
 
 
 o 
 
 02 
 
 . . . 
 H H W 
 
 WWW 
 
 CQ OJ QQ QQ C M aj CO 02 OQ (C O2 QQ QQ OQ QQ OP OJ OJ OQ.CQ CQ QQ QQ H H H H H W H H H 
 
 H 
 o 
 
 HHH 
 
 WWW 
 
 According to the purpose for which the mariner's compass 
 is especially adapted it is named the steering, standard, and 
 azimuth compass. 
 
8 SIMPLE ELEMENTS OF NAVIGATION. 
 
 Steering Compass is the one placed in the binnacle near 
 the wheel to assist the man at the wheel in keeping the ship's 
 head in the prescribed direction. 
 
 Standard Compass is the one placed on a particular spot 
 on deck or above it where the local influence of the iron in the 
 ship is the smallest and to which the steering compass is always 
 referred. 
 
 Azimuth Compass is the one mounted on a stand in some 
 commanding position for the purpose of taking bearings, and 
 is provided with a pair of sight vanes for observing objects. 
 The standard compass is usually an azimuth compass. 
 
 Variation. The direction the horizontal needle assumes 
 when uninfluenced by external causes is called the magnetic 
 north, and at different times and places does not coincide with 
 the true north. The difference between these two directions 
 measured in degrees is called variation. It is said to be 
 easterly when the north end of the needle is drawn to the east- 
 ward, and westerly when it is drawn to the westward, cf the 
 true north. The variation is found on the chart. 
 
 Deviation is the term applied to indicate the effect pro- 
 duced on the compass by objects within the ship, such as the 
 ship being built of iron, laden with iron or having certain 
 attachments made of iron, and local influences external to the 
 ship. Vertical iron, such as boat-davits, iron stanchions, smoke- 
 stack, etc., has the greatest effect when the ship's head is north 
 or south and least when east or west; and the horizontal pieces 
 of iron, such as deck beams, engine shafts, etc., will affect the 
 compass most at the four points lying between the cardinal 
 points and least at the north, south, east, and west points. 
 
 The introduction of iron in shipbuilding has rendered the 
 question of deviation most important, and the amount will 
 depend upon the direction in which the ship's head lies while 
 building; if built with her head north and south she will re- 
 ceive a large amount of induced magnetism from the hammer- 
 ing necessary and from the earth. This magnetism once 
 driven in, may be increased or diminished by grating against 
 piers, striking sunken rocks, or being struck by a heavy sea. 
 
 It has also been found the deviation is different when the 
 vessel heels over on either side to what it was when she is on 
 an even keel: in northern latitudes the compass needle is 
 drawn to windward as the vessel heels over, and whenever the 
 
DESCRIPTION AND USK OF IXsTlU M KN'TS. 9 
 
 vessel head is E. or W. the heeling error vanishes and is 
 greater when it is N. or S. 
 
 The deviation changes when the ship proceeds to a different 
 latitude, hence should be frequently ascertained and tables 
 constructed by the process of swinging ship not only on an 
 even keel, but also when the ship is heeled over to starboard 
 and when heeled over to port. 
 
 To Find the Deviation. The standard compass is placed 
 in its permanent position, and the ship is taken to some place 
 in smooth water and caused to swing around that her head 
 may be made to come to every point of the compass, and as she 
 does the deviation is ascertained as follows: 
 
 I. By means of buoys the true bearings of which, have been 
 previously ascertained. 
 
 II. When in an open harbor where some fixed object at a 
 distance of eight or ten miles can be clearly seen. Write down 
 the points of the compass, and as the ship swings around from 
 one point to another write down the compass bearing of the 
 object opposite the point of the compass towards which the 
 ship's head is directed. The mean of two bearings on east and 
 west by compass, or the mean of all these bearings, will be the 
 magnetic bearing of the distant object from the ship, the 
 difference of which from each of the bearings w r ill give the 
 deviation for that point of the ship's head. It is thus that the 
 majority of deviation tables are constructed. 
 
 III. When the ship is in a closed harbor and no distant 
 object can be seen, a standard compass is taken on shore and 
 placed in such a position as to be free from the influences 
 of magnetic attraction, and where it may be seen. As the ship 
 swings around the bearing of the compass on shore is observed 
 from the ship as her head comes to each point, and at the same 
 instant, indicated by signals, the ship's compass is observed 
 from shore. The observations on shore are first reversed to 
 bring them into the same direction as those taken from the 
 ship, and are compared w T ith the latter; the difference is the 
 deviation. Should there be a suspicion of local attraction to 
 the compass on shore a plane table may be used instead of the 
 shore compass. 
 
 IV. When at sea or out of sight of land if a distant sail be in 
 sight, advantage may be taken of a calm or light airs to swing 
 
io 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 ship by it as in the second case or by the true bearing of the 
 sun explained in Chapter VIII. 
 
 The deviation for the ship's head at each of the points of the 
 compass having been obtained by any of the processes which 
 have been described, a table of the results should be con- 
 structed, marking the deviation east when the north end of the 
 needle has been drawn to the eastward, and west when it has 
 been drawn to the westward, of the magnetic north. These 
 tables should be constructed and made use of even though the 
 compasses be or be not corrected by magnets or masses of iron 
 as is the practice in iron ships. 
 
 The following is the form of a deviation table: 
 
 DEVIATION TABLE. 
 
 Ship's head. 
 
 Deviation. 
 
 Ship's head. 
 
 Deviation. 
 
 North. 
 
 2 20 E. 
 
 South. 
 
 2 40 W. 
 
 N. by E. 
 
 3 40 E. 
 
 S. by W. 
 
 3 50 W. 
 
 NNE. 
 
 5 40 E. 
 
 SSW. 
 
 5 SOW. 
 
 NE. by N. 
 
 6 50 E. 
 
 SW. by S. 
 
 6 00 W. 
 
 NE. 
 
 8 00 E. 
 
 SW. 
 
 6 30 W. 
 
 NE. by E. 
 
 8 10 E. 
 
 SW. by W. 
 
 7 30 W. 
 
 ENE. 
 
 7 20 E. 
 
 WSW. 
 
 7 SOW. 
 
 E. by N. 
 
 7 30 E. 
 
 W. by S. 
 
 8 10W. 
 
 East. 
 
 6 40 E. 
 
 West. 
 
 8 00 W. 
 
 E. by S. 
 
 5 50 E. 
 
 W. by N. 
 
 7 40 W. 
 
 ESE. 
 
 4 30 E. 
 
 WNW. 
 
 6 40 W. 
 
 SE. by E. 
 
 3 40 E. 
 
 NW. by W. 
 
 5 40 W. 
 
 SE. 
 
 2 00 E. 
 
 NW. 
 
 4 30 W. 
 
 SE. by S. 
 
 1 00 E. 
 
 NW. by N. 
 
 3 10W. 
 
 SSE. 
 
 30 W. 
 
 NNW. 
 
 1 SOW. 
 
 S. by E. 
 
 1 30 W. 
 
 N. by W. 
 
 30 E. 
 
 Leeway is an apparent error to which the compass is sub- 
 jected, and is due to the pressure of the wind and surge of the 
 sea driving the vessel to leeward, when close hauled to, of the 
 direction by compass it is intended she should sail. The 
 amount depends upon the lines and trim of the ship, the draft 
 and sails ussd, or whether the ship be as near the wind as she 
 will lie. Leeway is estimated in points and quarter points by 
 observing the wake astern. If the wind is on the starboard 
 hand the leeway is to the left, and if on the port hand it is to 
 the right. 
 
 Course of a ship and the bearing' of an object are terms 
 used with reference to the standard compass, to the magnetic 
 meHdian, and to the true meridian. The course of the ship by 
 
DESCRIPTION AND USE OF INSTRUMENTS. 11 
 
 the standard compass, which is affected by both deviation and 
 variation, is called the "compass course;" the course with 
 reference to the magnetic meridian, or the course which would 
 be shown by the compass on board affected by variation only 
 and not by the deviation, is called the " correct magnetic course." 
 The course with reference to the true meridian is called the 
 ' true course." In the same way the bearing of an object may 
 be distinguished as the compass bearing, correct magnetic bear- 
 ing, or the true bearing, as the case may be. 
 
 In any conversion from one compass course to another, or 
 from one compass bearing to another, whether the correction 
 is made by applying the variation or the deviation, both cor- 
 rections are applied to the right if easterly, and to the left if 
 westerly. Similarly, where the conversion is from one true 
 course to another or from one true bearing to another, both 
 are applied to the right if westerly, and to the left if east- 
 erly. The method will appear in the following examples. 
 
 A vessel heads by compass NKE. \ E. The variation shown 
 on the chart is 21 14' E.; find the true course. 
 
 The compass course NNE. \ E. or N. 28 07' 30" E. 
 Variation E. . .- 21 14 00 right 
 
 The magnetic course . . . . N. 49 21 30 E. 
 
 From table deviation for NNE. \ E. 6 15 00 E. or to right. 
 
 True course K 55 36 30 E. 
 
 Again with the head of the vessel at ESE. the variation 
 was shown on the chart to be 10 15' W.; find the true course. 
 From compass table ESE. is . . S. 67 30' 00" E. 
 Variation from chart W. ... 10 15 00 left. 
 
 True magnetic course . . . . S. 77 45 00 E. 
 Deviation for ESE. from table E. 4 30 00 right. 
 
 True course S. 73 15 00 E. 
 
 The variation being given by the chart may be considered 
 as a constant quantity, but not so with the deviation, which 
 may vary for every point of the ship's head. The frequent 
 use of the deviation table might result in mistakes, to avoid 
 which, it will be better to construct another table for the con- 
 venience of the compass course or bearing to convert to the 
 magnetic course or bearing and vice versa. The compass 
 
12 
 
 SIMPLE ELEMENTS OF NAVIGATION". 
 
 course or ship's head is written in the first column, the de- 
 viation in the second as found from thb observations already 
 described, and the magnetic course in the third column, thus: 
 
 Ship's 
 
 Devia- 
 
 Magnetic 
 
 Ship's 
 
 Devia- 
 
 Magnetic 
 
 head. 
 
 tion. 
 
 Course 
 
 head. 
 
 tion. 
 
 Course. 
 
 
 / 
 
 o / 
 
 
 / 
 
 / 
 
 North. 
 
 2 20 E. 
 
 N. 2 20 E. 
 
 South. 
 
 2 40 W. 
 
 S. 2 40 E. 
 
 N. by E. 
 
 3 40 E. 
 
 N. 14 15 E. 
 
 S. by W. 
 
 3 50 W. 
 
 S. 7 25 W. 
 
 NNE. 
 
 5 40 E. 
 
 N. 28 10 E. 
 
 ssw. 
 
 5 20 W. 
 
 S. 17 10 W. 
 
 NE. by N. 
 
 6 50 E. 
 
 N. 40 35 E. 
 
 SW. by S. 
 
 6 00 W. 
 
 S. 27 45 W. 
 
 NE. 
 
 8 00 E. 
 
 N. 53 00 E. 
 
 SW. 
 
 6 30 W. 
 
 S. 38 30 W. 
 
 NE. by E. 
 
 8 10 E. 
 
 N. 64 25 E. 
 
 SW. by W. 
 
 7 30 W. 
 
 S. 48 45 W. 
 
 ENE. 
 
 7 20 E. 
 
 N. 74 50 E. 
 
 WSW. 
 
 7 50 W. 
 
 S. 59 40 W. 
 
 E. by N. 
 
 7 30 E. 
 
 N. 86 15 E. 
 
 W. by S. 
 
 8 10 W. 
 
 S. 70 35 W. 
 
 East. 
 
 6 40 E. 
 
 S. 83 20 E. 
 
 West. 
 
 8 00 W. 
 
 S. 82 00 W. 
 
 E. by S. 
 
 5 50 E. 
 
 S. 72 55 E. 
 
 W. by N. 
 
 7 40 W. 
 
 N. 86 25 W. 
 
 ESE. 
 
 4 30 E. 
 
 S. 63 00 E. 
 
 WNW. 
 
 6 40 W. 
 
 N. 74 10 W. 
 
 SE. by E. 
 
 3 40 E. 
 
 S. 52 35 E. 
 
 NW. byW. 
 
 5 40 W. 
 
 N. 61 55 W. 
 
 SE. 
 
 2 00 E. 
 
 S. 43 00 E. 
 
 NW. 
 
 4 30 W. 
 
 N. 49 SOW. 
 
 SE. by S. 
 
 1 00 E. 
 
 S. 32 45 E. 
 
 NW. by N. 
 
 3 10 W. 
 
 N. 36 55 W. 
 
 SSE. 
 
 30 W. 
 
 S. 23 00 E. 
 
 NNW. 
 
 1 50 W. 
 
 N. 24 20 W. 
 
 S. by E. 
 
 1 SOW. 
 
 S. 12 45 E. 
 
 N. by W. 
 
 30 E. 
 
 N. 10 45 W. 
 
 To obtain the correct magnetic course from the compass 
 course, look in the first column for the compass course, the 
 second column gives the deviation when the vessel's head is 
 on that point, and the third column will be found the mag- 
 netic course. 
 
 In order to correct any bearings taken by the compass the 
 table is to be entered with the direction of the ship's head at 
 that time in the first column, and corresponding thereto in 
 the second column will be found the amount of deviation to 
 be applied, as per example : If a ship's head is NNE. the 
 bearing of two islands be SE. and W. by S. by the compass. 
 In the second column of the table and opposite to NNE. the 
 deviation is 5 40' E. ; applying this deviation to the right the 
 correct magnetic bearing of the two islands will be S. 39 20' 
 E., and S. 83 55' W., or roughly in points SE. |E. and 
 W.*S. 
 
 The Chart is used to plot the position of the ship at any 
 time and refer it to other known objects. Its construction 
 has especial reference to the requirements of navigation. 
 Thus the chart may be required for coasting purposes, in 
 which case the harbor or coast charts are used, upon which 
 are marked with great accuracy, the rocks, shoals, local cur- 
 
DESCRIPTION AND USE OF INSTRUMENTS. 13 
 
 rents, nature of the tides, soundings and channels as well as 
 the different aids to navigation and their bearings. 
 
 For off shore cruising the Mercator Chart possesses so 
 many advantages that it is universally adopted for sea pur- 
 poses. 
 
 For the purposes of navigation and in order that the rela- 
 tive positions of places on the earth's surface may be laid 
 down and quickly found, certain lines are supposed to be 
 drawn upon the sphere. 
 
 These imaginary lines of reference are called Parallels of 
 Latitude and Meridians, and when these are known for any 
 given place its position upon the globe is precisely determined 
 by their intersection. 
 
 The extremities of the axes of the earth are called the Poles, 
 and the great circles passing through these poles are called 
 Meridians. It is customary with us to call that meridian 
 which passes through Greenwich the First or Prime Merid- 
 ian. 
 
 The great circle drawn around the earth at equal distance 
 from the poles, and perpendicular to the meridians, is called 
 the Equator. 
 
 The equator and the prime meridian are the first lines of 
 reference from which latitude and longitude are measured. 
 
 Latitude. The lines of latitude run due east and west, 
 and are small circles of the sphere drawn parallel to the 
 equator; we may conceive one of these drawn through every 
 place. The portion of a meridian intercepted between a 
 place and the equator is called the latitude, and is denomi- 
 nated north or south as the place is north or south of the 
 equator. 
 
 Longitude. The longitude of a place is the portion of the 
 equator intercepted between the prime meridian and the 
 meridian passing over the place ; is east or west according as 
 the place is situated east or west of the prime meridian. 
 
 As every circle large or small is divided into 360 parts 
 called degrees, it will be seen the equator and poles divide 
 every meridian into four equal parts ; therefore the greatest 
 latitude a place can have is 90 degrees, and again the prime 
 meridian divides the parallels of latitude into two equal parts, 
 making 180 degrees the greatest longitude a place can have. 
 Each of these degrees is divided into 60 minutes and the 
 
14 SIMPLE ELEMENTS OF NAVIGATION". 
 
 minutes into 60 seconds. The minutes of the equator and of 
 the meridians are each nearly 6080 feet long, and are called 
 Nautical or Sea-miles. 
 
 The parallels of latitude being small circles and decreasing 
 in size the nearer they approach the poles, while the meridians 
 come together at the poles, it would be difficult to construct 
 a chart easy to use in practice. However, upon the principles 
 of Mercator a chart is constructed upon which the meridians 
 are represented as being parallel to each other during their 
 whole length, and the distance between the parallels of lati- 
 tude is increased in the same proportion the nearer they ap- 
 proach the poles. This enables a course from one place to 
 another to be laid down by a straight line between them, and 
 the distance is obtained from the scale to the side of the chart 
 as nearly opposite the two places as possible. 
 
 All charts are engraved true north and south, east and west, 
 and in all the charts furnished by the Hydrographic Office the 
 true compass is engraved in various places and the bearings 
 given are the true bearings. Lines of variation are drawn 
 upon the chart or the variation is given marked with each 
 compass on the chart. 
 
 Currents are marked on the chart by an arrow with two 
 feathers pointing in the direction towards which it sets 1K> > 
 And the drift or rate per hour at which it moves is marked 
 in knots close to the arrow. 
 
 The set of the tide is marked on the chart by an arrow 
 feathered on one side only for the flood '^mmtf > and by an 
 arrow without feathers for the ebb tide > 
 
 The tide is spoken of as flood when the water is rising, and 
 as ebb when the water is falling; and to show when either 
 occur, the time of high water at the full and change, that is 
 to say at full moon and new moon, is given at the most impor- 
 tant places on the chart. The hours are marked in Roman and 
 the minutes in ordinary figures, thus, VII h. 50 m. For any 
 particular spot this time of high water at the full and change 
 may be considered practically constant. Any almanac will 
 give the moon's age; but by a little practice it may be guessed 
 within a day. When it looks like a D it is increasing or wax- 
 ing, and when it looks like a C it is decreasing or waning. 
 
 The rise of Spring: Tides or those which occur near the 
 full and change of the moon, and the rise of the Neap Tides 
 or those which occur near the 1st and 3d quarters of the 
 
TIME OF HIGH WATER. 15 
 
 moon, are given in feet. Sometimes this information about 
 the tides is given in a table on the chart. 
 
 Tides are caused chiefly by the moon, and as the moon is 
 about 50 minutes later every 24 hours in comiug over the 
 same spot of the earth, the time of high water will be about 
 50 minutes later every day. In most places the tide rises 
 twice in every 24 hours, which would make a regular interval 
 of 12 hours between the times of successive high water, and 
 25 minutes additional for the retardation of the moon. 
 
 The calculations for finding the exact time of high water 
 are puzzling, and require tables that may not be at hand. 
 It is important to know the time, because in many channels 
 it is only at high water that a vessel can get over the bar. 
 First find the number of days from the last new or full moon, 
 multiply this by 50, the number of minutes that the high tide 
 is delayed each day, and add the product in hours and min- 
 utes to the time of high water given on the chart, A.M or 
 P.M., as the case may be. Or you can reckon forward the 
 number of days to the next new or full moon, and then sub- 
 tract the product from the time on the chart. The question 
 whether you will reckon backwards or forwards depends on 
 whether the last new or full moon, or the coming new or full 
 moon, is furthest off. Of course you w T ill reckon to which- 
 ever is nearest. 
 
 The time of high water obtained in this way may be de- 
 pended upon within the hour, yet it may be out at times as 
 much as two hours. The greatest; error will occur during 
 neap tides, hence by subtracting one hour from the time of 
 high w r aterat neap tide, will diminish this error. The follow- 
 ing table will show how the rule works : 
 
 Before the new or full moon. 
 
 Subtract. 
 
 For 1 day 
 
 hrs. min. 
 50 
 1 40 
 2 30 
 3 20 
 4 10 
 5 00 
 5 50* 
 
 2 " 
 
 3 " 
 
 4 " 
 
 5 " . 
 
 6 " 
 
 7 " 
 
 
 After the new or full moon add the above 
 
 times. 
 
 * At neap tide subtract 1 h. from time of high water. 
 
16 SIMPLE ELEMENTS OF NAVIGATION. 
 
 For example. The high water at full and change at Old 
 Point Comfort is 8.46; at what time will it be high water on 
 the 10th June, 1888 ? 
 
 From any almanac we find that in June the new moon 
 occurs on the 9th in the afternoon, and the full moon on the 
 23d in the afternoon. Now the 10th of June is one day after 
 the new moon, therefore to the above table we must add 50 
 minutes to 8.46, which gives 9.36 P.M. as the time of high 
 water on the 10th of June. 
 
 Again, what time will it be high water on the 20th of June ? 
 Now the 20th of June is three days before the full moon, 
 therefore, from the abore table we must subtract 2.30 from 
 8.46, which gives 6.16 P.M. as the time of high water on the 
 20th of June. 
 
 The soundings marked on the chart are reduced to mean 
 low water, and are generally given on the plain section in 
 fathoms (of six feet) and fractions of a fathom; and on the 
 shaded surface in feet and fractions of a foot. 
 
 Large charts are constructed for each ocean upon a too 
 small scale for practical purposes when near shore, but to 
 facilitate their use they are divided into marked sections ac- 
 companied with an index chart. These sectional charts have 
 engraved upon them at the most convenient places, divided 
 from the rest of the chart, a plan of the most important har- 
 bors upon a scale large enough for the various marks to be in- 
 dicated and the nature of the channel understood. 
 
 With the chart use is made of a pair of dividers and paral- 
 lel rulers, the application of which will be shown in working 
 some of the problems. 
 
17 
 
 SIGNS AND ABBREVIATIONS MARKED ON THE CHART. 
 
 Nature of the Bottom. 
 
 General Abbreviation. 
 
 b blue 
 
 blk black 
 
 br brown 
 
 brk broken 
 
 c coarse 
 
 cl clay 
 
 crl coral 
 
 d dark 
 
 f fine 
 
 g gravel 
 
 gn green 
 
 grd . . .ground 
 
 gj gray 
 
 h hard 
 
 m mud 
 
 oys oysters 
 
 oz ooze 
 
 peb pebbles 
 
 r rock 
 
 rot rotten 
 
 s sand 
 
 sft soft 
 
 sb shells 
 
 spk speckled 
 
 st stones 
 
 stf stiff 
 
 w. white 
 
 wd weed 
 
 y yellow 
 
 An ... anchorage 
 
 Bk bank 
 
 C cape 
 
 Ch church 
 
 Chan channel 
 
 Cr -creek 
 
 Fms fathoms 
 
 Ft feet or foot 
 
 H. W high water 
 
 H. W. F. & C high water, full and change 
 
 I island 
 
 Lat latitude 
 
 Long longitude 
 
 Lt light 
 
 Lt. F light fixed 
 
 Lt. Fl light flashing 
 
 Lt. Int light intermittent 
 
 Lt. Rev light revolving 
 
 Lt . Fig light floating 
 
 Lt. Occ light occulting 
 
 Lt. Alt light alternating 
 
 L. W low water 
 
 Mt mountain 
 
 Np neaps 
 
 Obs . Spot observation spot 
 
 Pk peak 
 
 Pt point 
 
 R river 
 
 Rf reef 
 
 R rock 
 
 Sh shoal 
 
 Sp spring 
 
 Str strait 
 
 Var variation 
 
 Vis . visible 
 
18 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 
 o 
 I- 
 
 : o ,_ oz 
 ; o..' o, : o< 
 
 S ::.'L: KQ 
 
 (OC3 
 
 >n : <o 
 
 o 
 u. 
 
 O 
 
 >; 
 
 I 
 
 o 
 
 I 
 
 P 
 
 o 
 
 3 
 
 s 
 a 
 
 o 
 
 z 
 
 V 
 
 (Q 
 
 _l 
 111 
 
 i 
 
 o 
 
 o 
 o 
 
 B 
 
 I 
 
 cr 
 
 <r 
 
 UI 
 
 K 
 
 UI 
 
 O 
 
 z 
 
 3 
 CO 
 
 u 
 O 
 ce. 
 
 CO 
 
 
 o 
 
 '*"' 
 
 .:-': : . ''.;.'. 
 
 . . .. 
 
 f2 
 
 _i 
 
 3C 
 o 
 
 z. 
 
 CO 
 
SIGNS MARKED ON THE CHART. 
 
 19 
 
 X 
 
 o 
 
 O 
 
 O 
 
 II 
 
 
 
 Q 
 
 3 
 
 
 
 
 
 MOORING BUOV 
 
 K^' 
 mER 
 
 DRY AT 
 
 I 
 
 o 
 O 
 
 nl CO 
 
 O uj 
 
 5 
 
 *3p^" 
 
 "-S 
 
 j 
 Z co 
 
 Is 
 
 1 
 
 O 
 
 
 
 
 I 
 
 
 
 I 
 
 o 
 
 8 
 
 UJ 
 
20 SIMPLE ELEMENTS OF NAVIGATION. 
 
 EXAMPLES. 
 
 I. The compass course is ESE., or S. 67 30' 00" E. The 
 variation and deviation 2f points E., leeway f points right. 
 What is the true course? Am. S. 28 07' 00" E. 
 
 II. The compass course is SSW., the variation being 1 point 
 easterly. Find the true course. Am. SW. by S. 
 
 III. An object bore by compass NE. by E. | E., the varia- 
 tion being 1 westerly. Find its true bearing. Ans. NE. % N. 
 
 IV. Compass course is S. and the wind is NW., giving f 
 points leeway, variation 1 point E. and the deviation point 
 W. Find the true course. Ans. S. 
 
 V. The true course is S. by W. ; variation is 2 points W. ; 
 deviation is 5 W. Find compass course. 
 
 Ans. S. 62 30' 00" E. 
 
 VI. The true course is W. by S., and the variation is 11 15' 
 E., deviation is 9 W., wind NNE., leeway of 2 points. Find 
 the true course. Ans. N. 81 W. 
 
 VII. The compass course is SSE., with variation 2 points 
 W., and deviation 5 E., the wind on the left hand giving 3 
 points leeway. Find the true course. Ans. S. 6 15' E. 
 
 VIII. The compass course is NE. , and variation is 2 points 
 E., deviation 2 E., wind on the right hand giving 3 points 
 leeway. Find the true course. Ans. N. 38 45' E. 
 
PILOTING OR COASTLXG. 21 
 
 CHAPTER II. 
 PILOTING OR COASTING. 
 
 HAVING become thoroughly familiar with the instruments 
 described , the ship is gotten underway and taken down the 
 harbor or bay for an offing at sea. In doing this the rudest 
 manner of navigation is used, called Piloting" or Coasting 1 , 
 which requires only a local knowledge of the shore and its 
 adjacent waters, together with the location of marks placed to 
 aid navigation, all of which are given in the charts. 
 
 The effect of the tides and local currents along the shore 
 is most treacherous, and may at any time cause the ship to 
 be drifted out of the channel or into a dangerous position 
 to some reef or shoal, to avoid which the actual position is 
 often a matter of vital importance. A frequent cast of lead 
 may give warning, and should be constantly kept going when- 
 ever on soundings, and carefully taken. If the ship is be- 
 calmed the ground log will indicate the direction and rate of 
 drift. 
 
 Cross-bearings. When two known objects are in sight 
 the ship's position is found by cross-bearings. Thus, as the 
 ship proceeds down the channel the starting-point buoy bore 
 per compass ENE., and a lighthouse N. f W., while the ship's 
 head was NW. Enter the deviation table, which should 
 always be at hand in a little note-book, with the ship's head 
 KW. in the first column, and the deviation to be applied in 
 the second column is 4 30' W. Applying this to the left 
 will give the magnetic bearings ; and if the variation was 5 
 E., apply it to the right, and the true bearings will be: 
 
 Starting Buoy Lighthouse. 
 
 By compass N. 67 30' E. K 8 20' W. 
 
 Deviation W. 4 30' left 4 30' left 
 
 Magnetic bearing. . .N. 63 00' E. N. 12 50' W. 
 Variation E 5 00' right 5 00' right 
 
 True bearing K 68 3 00' E. N. 7 50' W. 
 
SIMPLE ELEMENTS Otf NAVIGATION. 
 
 Apply the parallel ruler to the engraved compass on the 
 chart lying along N. 68 E. and the centre of the compass; 
 then work the ruler until the edge touches the start buoy and 
 draw a pencil line along its edge on the chart. Apply in like 
 manner the N. 7 50' W. line to the lighthouse. Where these 
 two lines cut each other will be the position of the vessel. 
 
 The bearings of these two points should not be too near each 
 other, for then the lines would have a bad intersection; but 
 if the two objects be in line, it is of great advantage, especially 
 so when in the direction the ship is steering, as their separa- 
 tion will indicate a deviation from the channel. 
 
 Where the two lines cross, or the position of the ship, it is 
 marked by a little pencil cross with the hour and date thus, 
 
 X 2 iI/3 to identify it, which means the ship was in this posi- 
 tion at 2 in the afternoon of March 12. 
 
 Bow and Quarter Bearing. A very simple means of find- 
 ing the constant position of the ship is by what is known 
 as the bow and quarter bearing. Take the bearing of one 
 known object on shore when it is on the bow and measure the 
 distance by log till it bears abeam; then the distance, should 
 there be no current, will be the distance of the object when 
 abeam. 
 
 Bearing of One Object. When it is impossible to get a 
 bow and quarter bearing, such as having to change the course, 
 the ship's position can be found by taking the bearing of the 
 point when not in the direction the ship is sailing, and when 
 the bearing has changed at least 3 points take a second bear- 
 ing. Lay off from the given point the two bearings corrected 
 j for variation and deviation, and, after laying the parallel ruler 
 in the direction of the true course, take the distance sailed in 
 the dividers and move the ruler towards the given point till 
 the distance tits exactly between the two lines and draw a 
 pencil line. At the two points of intersection will be the first 
 and second position of the ship. 
 
 Whenever the vessel is in theViciuity of land this method 
 should frequently be used as a check to the influence of un- 
 known currents. 
 
 By Sailing Directions or Chart. When the channel has 
 long stretches winding between shoals or among islands, the 
 sailing directions or chart gives the true or magnetic courses 
 and bearings. Suppose they are magnetic, such as steer 
 
PILOTING Oil COASTING. 23 
 
 NE., till a certain object bears N. by W., and then steer E. 
 till another object bears SW. In such a case the magnetic 
 course and bearing are given to rind the compass course and 
 bearing of the object. Look in the 3d column of the devia- 
 tion table for the magnetic course, expressed in degrees and 
 minutes. 
 
 If it be not one of the courses it will lie between two of 
 them, and the corresponding compass course will lie between 
 two courses in the 1st column and may be found by estimat- 
 ing. To find the compass bearing look in the 3d column for 
 the magnetic course; opposite to it in the 2d column will be 
 the deviation on that course. 
 
 Apply this deviation to the magnetic bearing to the left if 
 the deviation is easterly and to the right if westerly. 
 
 EXAMPLE. 
 
 Suppose the chart should give directions to steer E. till a 
 certain objectjaore N. by W., then steer SE. till another object 
 bore SSW. magnetic. 
 
 In column 3, when the course was E. , the deviation was be- 
 tween 6 40' E. and 7 30' E., or nearly i point E. Applying 
 this to the left of the first course, the vessel should steer E. i N. 
 by the compass till the first object bore by compass N. by W. 
 W. So from column 3 with the course SE. the deviation is 
 between 2 00' E. and 3 40' E., or nearly i point E. Apply- 
 ing this to the left of the second course, the vessel should 
 steer SE. E. till the second object bore by compass S. by W. 
 f W. 
 
 In going around a point and no channel marked out, select 
 several spots on the chart, the connection of which will per 
 mit the line joining them to pass over safe soundings. With 
 the points of the dividers on two of the spots, transfer them to 
 the scale and measure the distance ; then with the edge of the 
 parallel ruler along the line, move it to the nearest compass, 
 and the point over which the edge comes will be the true 
 course; correct this for variation and deviation to get the com. 
 pass course. Put the ship's head on that course and sail the 
 distance, when the same process will be repeated. 
 
 Should the ship be shut in by a fog or snow storm for a 
 time out of sight of laud, the channel and nature of the 
 
24 SIMPLE ELEMENTS OF NAVIGATION. 
 
 bottom, as well as soundings by the hand or deep-sea lead, 
 will give a close approximation to the position of the ship. 
 
 When the latitude and longitude are known, the position of 
 the ship is plotted on the chart by laying the parallel ruler 
 even with the nearest parallel of latitude marked on the side 
 of the chart, and after moving it up to the given latitude draw 
 a pencil line, which will represent the latitude of the ship; 
 then measure with the dividers at the top and bottom of the 
 chart the distance from the nearest meridian to the given 
 longitude, which, set off on the parallel previously drawn with 
 pencil, will be the ship's position. 
 
 To Verify the Deviation Table. When the vessel was 
 swung in the harbor for deviation there might have been 
 some local attraction unknown which would of course affect 
 the local deviation table. To ascertain this, it is an excellent 
 opportunity, as the vessel proceeds along the various courses in 
 the channel, to verify the deviation table by frequent bearings 
 of known objects on shore, or when two objects come in line. 
 The chart will give their true bearings, and when converted to 
 the compass bearings by the application of variation and devia- 
 tion there should be no difference between this bearing and 
 the compass; if so, the deviation is wrong and must be corrected 
 before going to sea. 
 
 CHAPTER III. 
 
 9 
 
 DEAD-RECKONING. 
 
 Shaping the Course. The vessel having now arrived at 
 the point where it becomes necessary to commence her voy- 
 age at sea, the bearing and distance to the point it is intended 
 to take the vessel are found from the chart by laying the ruler 
 with the edge along the two places, then transfer the ruler to the 
 nearest compass on the chart, which will give the true bearing. 
 Correct the true bearing for variation and deviation to the 
 left if easterly, and to the right if westerly, for the compass 
 course, and the ship is kept as near that course as the wind and 
 other circumstances will admit. 
 
DEAD-RECKON1N<J. 25 
 
 With the dividers, measure the distance on the scale to the 
 side of the chart as nearly opposite the two places as it is pos- 
 sible. 
 
 If islands, capes, and headlands intervene, it will be neces- 
 sary to find several courses and distances in the same way. 
 This is called Shaping the Course. 
 
 Taking- the Departure. When just about to leave the 
 laud take the bearing of some known object, such as a light- 
 house or headland, by the compass and estimate the distance 
 hy eye, or the bearing and distance of the object from the ship. 
 This may be found by one of the processes already described. 
 This is called Taking the Departure. 
 
 Log-slate. The opposite point to that on which the object 
 bears is considered the first course, and the distance of the ob- 
 ject as the first distance sailed from the place and is noted on 
 the log-slate. This Log slate is a memorandum board or book 
 properly ruled for the hours of the day, distance made by the 
 log, courses steered by the compass and the direction of the 
 wind, leeway, variation, and deviation, as well as remarks of 
 all causes affecting the sailing of the ship. 
 
 Log-book. The other courses and distances made during 
 the day being determined by the compass and the log are sev- 
 erally entered in the log-slate at the end of each hour, and after- 
 wards copied into a book similarly ruled, called the Log-book. 
 
 It must be borne in mind that the standard compass is the 
 compass from which all courses for the log-slate are taken. 
 In steering, the course is taken from the standard compass 
 and the man at the wheel given his course for the steering 
 compass by a careful comparison. As the vessel proceeds on 
 her course frequent comparisons should be made between 
 these two compasses. 
 
 In a violent gale and heavy sea, when it would be dangerous 
 to carry sail, it is usual to put the ship close to the wind with 
 just sufficient sail to prevent the vessel from rolling too much. 
 In this condition the vessel will come up and fall off, and the 
 points to which her head comes up and falls off must be noted, 
 and the middle point between the two taken as the course to 
 enter in the log- slate. 
 
 If there should be a set and drift of a current it is to be en- 
 tered as a course and distance, and treated the same as any 
 course and distance. 
 
 
26 SIMPLE ELEMENTS OF NAVIGATION. 
 
 Dead-reckoning. The process by which the position of 
 the ship is found from the data given in the log-book is called 
 Dead-reckoning. By means of this dead-reckoning the latitude 
 and longitude are found, hence the position of the ship. It is 
 usual to obtain the position at 8 A.M., 12 M.. and 8 P.M. of each 
 day, and more frequently when approaching land or danger. 
 
 The process by which this is accomplished is, first, correct 
 the several courses in the log-book for the variation, deviation, 
 and leeway opposite to each course. Construct a table in the 
 Work-book, in which all data in navigation should be pre- 
 served during the entire voyage. In the first column of this 
 table enter each true course, and in the second column the dis- 
 tance run on each course, found by summing up the knots 
 and tenths sailed by the ship on each course. 
 
 Find in Table I the courses at the top or bottom of the page 
 given in degrees, the difference of latitude and the depar- 
 ture corresponding to each course and distance, and place 
 them in their respective columns; then the difference between 
 the sums of the northings and southings will be the differ- 
 ence of latitude made good of the same name as the greater. 
 
 Seek in the same table until the difference of latitude and 
 departure are found together in their respective columns; 
 opposite to these in the distance column will be the distance 
 made good. 
 
 At the top or bottom of the page, according as the departure 
 is less or greater than the difference of latitude, will be found 
 the course made good. 
 
 If the latitude of the object from which the departure was 
 taken or the latitude of a former position be of the same 
 name as the difference of latitude found, add them together ; 
 but if of different names take their difference ; the sum or re- 
 mainder will be the latitude in of the same name as the 
 greater. 
 
 As departure is the lineal distance between two meridians 
 measured upon a parallel of latitude, it is less than the differ- 
 ence of longitude, which is measured upon the equator; so to 
 find the difference of longitude take the middle latitude between 
 the two places which take as a course in Table I., and seek for 
 the departure in the difference of latitude column; then will 
 the corresponding distance be the difference of longitude of the 
 same name as the departure. If the longitude of the previous 
 
DEAD-RECKONING. 
 
 position be of the same name as the difference of longitude add 
 them together, bat if of different names take their difference; 
 the sum or difference will be the longitude in of the same name 
 as the greater. 
 
 The intersection of the latitude and longitude found on the 
 chart will be the position of the ship, from which the bearing 
 and distance of the port or other object can again be found. 
 It is especially important to always find the bearing and dis- 
 tance of any supposed or real danger whenever the position of 
 the ship is plotted 
 
 EXAMPLE. 
 
 When the ship was about to leave the land on July 15th, the 
 departure was taken from Cape Henry light-house, which bore 
 per compass NNW., distance 20 miles; afterwards sailed by 
 the following log account: 
 
 LOG-BOOK OR SLATE-TABLE. 
 
 
 
 
 
 
 
 
 
 02 
 
 OJ 
 
 
 
 
 CC 
 
 
 ^j 
 
 
 
 <U 
 
 /^ 
 
 
 
 to 
 
 M 
 
 CO 
 
 
 
 d 
 
 S 
 
 
 
 
 SH 
 
 eg 
 
 3 
 
 O 
 
 "2 
 
 2 
 
 a 
 
 o> 
 
 _ 
 
 ^ 
 
 " O 
 
 a 
 
 O 
 
 2 
 
 3J 
 
 o 
 
 1C* 
 
 O) 
 
 03 
 
 to 
 
 
 CD 
 
 W 
 
 M 
 
 EH 
 
 
 
 p 
 
 J 
 
 
 Q 
 
 ^ 
 
 
 noon 
 
 20 
 
 
 
 SSE. r 
 
 eparti 
 
 ire. 
 
 low 
 
 30 W. 
 
 S. 33 00 E. 
 
 S N h^ 
 
 1 
 
 6 
 
 5 
 
 SE. by E. 
 
 NE. 
 
 1 pt. 
 
 9 
 
 3 40 E. 
 
 S. 51 20 E. 
 
 +=> no O e3 O 
 
 Cg t q j-. Q 
 
 2 
 
 5 
 
 
 
 t b 
 
 it 
 
 ** 
 
 
 it 
 
 S. 51 20 E. 
 
 
 3 
 
 6 
 
 
 
 SE. 
 
 ENE. 
 
 2pt. 
 
 9 
 
 2 00 E. 
 
 S. 30 30 E. 
 
 X ^ 5.S ~^' 
 
 4 
 
 5 
 
 5 
 
 ESE. 
 
 S. 
 
 >t 
 
 9 
 
 4 30 E. 
 
 S. 28 00 E. 
 
 "S r =- s ** 
 
 5 
 
 5 
 
 
 
 E. by N. 
 
 SSE. 
 
 it 
 
 9 
 
 7 30 E. 
 
 N. 53 45 E. , t = S=' 
 
 6 
 
 5 
 
 
 
 ft 
 
 b b 
 
 it 
 
 
 '' 
 
 N. 53 45 E. 
 
 S S*H"S S- * 
 
 7 
 
 5 
 
 
 
 44 
 
 tl 
 
 " 
 
 99 
 
 1C 
 
 N. 53 45 E. 
 
 "^ x cS C 
 
 8 P.M. 
 
 5 
 3 
 
 
 
 
 NE. 
 Current 
 
 SE. 
 , true 
 
 1 pt. 
 >W. 
 
 
 8 00 E. 
 
 N. 31 45 E. 
 S. 45 00 W. 
 
 "tiSl 
 
 
 
 In this case the opposite point to the bearing of the light- 
 house NNW. is SSE., which enter as the first course and the 
 distance 20 miles as the first distance. The variation supposed 
 to be found on the chart was 10 W.. and from the deviation 
 table for the course SSE. we find 00 30' W., which, applied 
 to the left as they are both westerly, gives the true course 
 S. 33 00' E. 
 
 Again, for the second course at 1 P.M. the log indicated the 
 ship as making 5 miles the first hour and the compass course 
 SE. by E. with the wind NE. or on the port tack, the leftside; 
 hence the leeway of one point is to the right. The variation 
 
SIMPLE ELEMENTS OF NAVIGATION. 
 
 of 10 degrees is west or left, and the deviation from the table 
 3 40' is east or right; hence the true course is S. 51 20' E. in 
 the last column, and so on with the other courses. 
 
 The drift of the current being one and a half miles per hour 
 for the last two hours drove the ship 3 miles in the direction of 
 the set SW. true, which enter as though the ship had sailed 
 that the last course and distance. 
 
 Having now obtained the true courses sailed, enter them in 
 the table of the working-book with the sum of the distances 
 made on each course: 
 
 WORK-TABLE. 
 
 
 
 DIPP. LATITUDE. 
 
 DEPARTURE. 
 
 Courses. 
 
 Distances. 
 
 
 
 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 / 
 
 
 
 
 
 
 S. 33 00 E. 
 
 20.0 
 
 
 16.8 
 
 10.9 
 
 
 S. 51 20 E. 
 
 11.5 
 
 
 7.2 
 
 8.9 
 
 
 S. 30 30 E. 
 
 6.0 
 
 
 5.2 
 
 3.0 
 
 
 S. 28 00 E. 
 
 5.5 
 
 
 4.8 
 
 2.5 
 
 
 N. 53 45 E. 
 
 15.0 
 
 8.8 
 
 
 12.1 
 
 
 N. 31 45 E. 
 
 5.0 
 
 4.2 
 
 
 2.6 
 
 
 S. 45 00 W. 
 
 3.0 
 
 
 2.1 
 
 
 2.1 
 
 
 
 13.0 
 
 36.1 
 
 40.0 
 
 2.1 
 
 
 
 
 13.0 
 
 2.1 
 
 
 
 
 Diff. Lat. 23.1 
 
 37.9 Departure. 
 
 Course made good S. 58 E. and distance made good 44 
 miles. 
 
 Lat. Cape Henry Light 36 55' 05" N. Long, 76 00' 02" W. 
 Difference of latitude 23' 06" S. Diff. Long. 47' 00" E. 
 
 Latitude in . . 
 
 Sum of latitudes 
 Middle latitude 
 
 . 36 31' 59" K Long, in 75 13' 02" W. 
 
 . 73 27' 04" 
 
 . 36 43 30" or 36|". 
 
 The first course, 33, is found at the top of the page of Table I, 
 and opposite to the distance of 20 the Lat. column gives 16.8 
 and the Dep. column gives 10.9, which place in their appro- 
 priate column in the work-table; the difference latitude under 
 S. and the departure under E. as the ship has sailed south and 
 
DEAD-BECKONING. 
 
 east. Do the same way with each course to the nearest degree 
 is sufficient. 
 
 After adding up the different columns it will be seen there 
 were more southings than northings, and their difference will 
 give 23.1 S. as the difference of latitude made good. There 
 are more eastings than westings, and their difference will give 
 37.9 E., the departure made good. 
 
 In Table I the place where these come nearest in their 
 respective columns is opposite 44 in the distance column, which 
 is the distance made good. 
 
 The departure being greater than the difference of latitude, 
 the course made good is found at the bottom of the page, 
 S. 58" E. 
 
 The latitude of Cape Henry being north and the difference 
 of latitude made good being south \ve take their difference and 
 get the latitude in 36 31' 59 " K, the name of the greater. 
 
 With the middle latitude 36| as a course in Table I, the de- 
 parture made good is found in the Lat. column opposite the 
 distance 47, which is the difference of longitude cf the same 
 name as the departure, which is east, and as the longitude of 
 Cape Henry is west we take their difference to find the longi- 
 tude in 75 13' 02" W., the name of the greater. 
 
 From this new position of the ship the bearing and distance 
 of the designated place are again found, and the new course 
 followed as nearly as possible. 
 
 From 8 P.M., the time of the last position, the ship sailed on 
 a course by compass ESE., with the wind free, 100 miles per 
 log until 8 A.M. the following morning; the chart showing 2 
 points easterly variation and a constant drift of 2 miles per 
 hour in a true SW. direction. Find the position again. In 
 this case there would not be any leeway. 
 
 LOG-TABLE. 
 
 Hours. 
 
 Knots. 
 
 Courses. 
 
 Wind. 
 
 Lee. 
 
 Var. 
 
 Dev. 
 
 True 
 courses. 
 
 12 
 
 100 
 24 
 
 ESE. 
 Set of 
 
 NW. 
 
 the cur 
 
 
 rent 
 
 2 pts. E. 
 SW. true. 
 
 4 30' E. 
 
 SE. M S. 
 SW. 
 
 The variation 2 points being easterly and the deviation from 
 the table 4 30' E. or nearly | point easterly, both are applied 
 to the right to get the true course. 
 
30 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 WORK-TABLE. 
 
 Courses. 
 
 Distance. 
 
 DIFF. LATITUDE. 
 
 DEPARTURE. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 1 II 
 
 S. 39 22 30 E. 
 S. 45 00 00 W. 
 
 100 
 24 
 
 
 77.3 
 17.0 
 
 63.4 
 
 17.0 
 
 
 
 
 94.3 
 
 63.4 
 17.0 
 
 17.0 
 
 Diff. Lat. 94.3 
 
 46 4 Departure. 
 
 Course made good S. 26 E., and 105 miles the distance made 
 good. 
 
 In this case, the nearest the difference of latitude and de- 
 parture came together in their appropriate columns in Table 
 I. was opposite to 105, the distance made good. As the de- 
 parture was less than the difference of latitude the course 
 S. 26 E. or SSE. i E. was found on top of the page as the 
 course made good. 
 
 Latitude of last position 36 31' 59" N. 
 Difference of Latitude . 1 34' 18" S. 
 
 Latitude in ... 
 Sum of the Latitudes 
 Middle Latitude . 
 
 34 57' 41" N. 
 
 71 29' 40". 
 
 35 44' 50" or 35f". 
 
 With this middle, latitude 35f, enter Table I, and find de- 
 parture in the Lat. column, and opposite to it in the distance 
 column is 57 miles, the difference of longitude of the same 
 name as the departure, which is east. 
 
 Longitude of the last position 75 13' 02" W. 
 Difference of longitude . . 57' E. 
 
 Longitude in . ... . 74 16' 02" W. 
 
 At noon of that day the ship was found by the log to have 
 sailed 30 miles NE. by E. close to the wind on the starboard 
 tack or right hand, making two points leeway. Variation by 
 the chart 7 30' W. 
 
 From the deviation table the deviation on a NE. by E. course 
 is 8 10' E. The leewav will be to the left. 
 
DEAD-RECKOXING. 
 
 31 
 
 Compass course NE. by E. is N. 56 15' 00" E. 
 Deviation E 8' 10" to the right. 
 
 Magnetic course N 64 15' 00" E. 
 
 Variation W 7' 30" to the left. 
 
 True course N 56 45' 00" E. 
 
 Or nearly N. 57 E. 
 
 WORK-TABLE. 
 
 Courses. 
 
 Distance. 
 
 DIFF. LATITUDE. 
 
 DEPARTURE. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 N. 57 E. 
 
 30 
 
 16.3 
 
 
 25.2 
 
 
 
 
 16.3 
 
 
 25.2 
 
 
 16.3 Diff. Lat. 
 
 25.2 Departure. 
 
 Course made good N. 57 E., and 30 miles the distance made 
 good. 
 
 With the middle latitude 35 
 and the departure 25.2 in the 
 Lat. column, the difference of 
 longitude is found to be: 
 Diff. longitude 31' 00" E. 
 Longitude left 74 16' 02" W. 
 Longitude in 73 45' 02" W. 
 From this position the ship sailed from day to day on the 
 following courses and distances, taken from the log-book and 
 stated in the following table: 
 
 LOG-BOOK. 
 
 Lat. 
 Diff. 
 
 Lat. 
 Sum 
 Mid. 
 
 left 
 Lat. 
 
 in 
 
 of Lats. 
 Lat. 
 
 34 
 
 57' 
 16' 
 
 41" 
 18" 
 
 N. 
 
 35 
 
 70 
 35 
 
 13' 
 11' 
 05' 
 
 59" 
 40" 
 50" 
 
 N. 
 
 Courses. 
 
 Distances. 
 
 13 
 S 
 
 a 
 
 *J3 
 
 J 
 
 03 
 
 <D 
 
 Q 
 
 True 
 
 courses. 
 
 ENE. 
 E byN. 
 
 E byS. 
 E. 
 SE. 
 ENE. 
 
 30 
 
 40 
 80 
 60 
 30 E 
 5J C 
 
 N. 
 NNE. 
 
 rift 
 
 2 
 2 4 
 
 / 
 
 15 SOW. 
 10 10W. 
 500E. 
 700 E. 
 ...700E. 
 
 / 
 
 7 20 E. 
 7 30 E. 
 5 50 E. 
 6 40 E. 
 2 00 E. 
 
 / 
 
 N. 73 33 45 E. 
 S. 81 35 00 E. 
 S. 48 14 00 E. 
 S. 53 50 00 E. 
 S. 36 00 00 E. 
 N. 67 30 00 E. 
 
 urrent, true coui 
 
 "se 
 
 
 REMARKS. The ship drifted during the time in a gale by wind and sea 
 30 miles SE. by compass. By current marked in chart ENE. 50 miles, 
 
32 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 In the second course it will be seen that after variation and 
 deviation and leeway are applied, the course is greater than 
 90 degrees, or we have gone through E. from the north and 
 have come nearer S. than N. ; therefore we subtract from 180 
 degrees, which gives the true course S. 81 35 E. from the 
 South. 
 
 WORK-TABLE. 
 
 Courses. 
 
 Distances. 
 
 DIFP. LATITUDE. 
 
 DEPARTURE. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 / 
 
 N. 73 34 E. 
 S. 81 35 E. 
 S. 48 14 E. 
 S. 53 50 E. 
 S. 36 00 E. 
 N. 67 30 E. 
 
 30 
 40 
 80 
 60 
 30 
 
 8.6 
 19.1 
 
 6.0 
 53.3 
 35.3 
 24.3 
 
 28.7 
 39.5 
 59.7 
 48.5 
 17.6 
 46.2 
 
 
 
 
 27.7 
 
 118.9 
 27.7 
 
 240.2 
 
 
 Diff . Lat. 91.2 
 
 240.2 Departure. 
 
 Course made good S. 69 E. and 257 miles made good. 
 With the first course enter Table I with the course 73. 
 On page with 73 at the bottom and opposite to 30 in the dis- 
 stance column will be found in the Lat. column 8.8, and on 
 page with 74 r.t the bottom and opposite to 30 in the distance 
 column will be found in the Lat. column 8.3, making a differ- 
 ence of .5 for one degree in the course: hence for half a degree 
 it will be one half of .5, or .2, to be subtracted from 8.8 in the 
 first case, which will give 8.6 for the difference of latitude for 
 the first course, which place in the column N. as northings. 
 As there is so little difference between the departure for 73 and 
 74, that for either course may be used as the departure in its 
 appropriate column under E., and so on in each course. 
 
 With middle latitude 34^ and 
 the departure 240.2 in the Lat. 
 column, the difference of longi- 
 tude is found to be 291.5 in the 
 distance column; divide by 60 
 and we get : 
 
 Diff. longitude 4 51' 30" E. 
 Longitude left 73 45' 02" W. 
 Longitude in . 68 53' 32" W, 
 
 Lat. 
 Diff. 
 
 Lat. 
 Sum 
 Mid. 
 
 left 
 Lat. 
 
 in 
 
 of Lats. 
 Lat. 
 
 35 
 1 
 
 13' 
 11' 
 
 59" 
 12" 
 
 N. 
 S. 
 
 34 
 69 
 34 
 
 02' 
 16' 
 
 38' 
 
 42" 
 46" 
 23" 
 
 N. 
 
DEAD-RECKONING. 33 
 
 Continue in this way until the port is reached. 
 If it is not convenient to find the course and distance on the 
 chart with the parallel rulers and dividers, it may be done in the 
 following manner. Suppose, for instance, it is desired to know 
 the compass bearing and distance from the last position back 
 to Cape Henry. 
 
 Lat. of Cape Henry 36 55' 05" N. 
 Lat. of last position 34 02' 47" N. 
 
 Diff. Latitude 2 52' 18" 
 60 
 
 120 
 52 
 
 172.3 
 
 Long, of Cape Henry 76 00' 02" W. 
 Long, last place 68 53' 32" W. 
 
 Diff. Longitude 7 06' 30" 
 60 
 
 426.5 
 Sum of Latitudes 70 57' 52" 
 
 Middle Latitude 35 28' 56" or 
 The difference of longitude is too great for the distance 
 column in the table, so divide it by 2 for convenience, and with 
 the half of the longitude, 213.2, enter Table I, and opposite to it 
 in the distance column for 35 and 36 will be found 174.5 and 
 172 3 in the latitude column; the middle latitude being nearly 
 35^, take the mean of these, 173.4, for the departure, which 
 multiplied by 2 gives 346.8 for the whole departure. The 
 whole departure and difference of latitude are too large for the 
 table, so divide by any convenient number, say 10, which gives 
 17.2 diff. latitude and 34.7 departure; with these seek in Table 
 I till they nearly agree on a course S. 63 W. and a distance 
 of 39. Multiply this distance by 10, and we get 390 miles as 
 the whole distance. 
 
 Hence Cape Henry bears true S. 63 W., distance 390 miles; 
 and to get the compass bearing or course, variation and devia- 
 tion must be applied. Let variation be 16 20' W. 
 True course S. 63 00' W. 
 Variation W. 16 20' apply to the right. 
 
34 SIMPLE ELEMENTS OF KAVIGATION. 
 
 Magnetic course S. 79 20' W. 
 
 Deviation W. 8 00' to the nearest point to the right. 
 
 Compass course S. 87 20' W. 
 
 Or the ship will have to steer S. 87 20' W. 390 miles to 
 return to Cape Henry. 
 
 Ship's Track. It is customary, whenever the position of 
 the ship is plotted, to draw a line on the chart from that posi- 
 tion to the former one, and the lines so drawn from day to day 
 will be the ship's track a distinction from the traverse which 
 the ship makes in her zigzag course sailing from one position 
 to another against a head wind. 
 
 EXAMPLES. 
 
 I. Required the compass course and distance from latitude 
 51 25' N. and longitude 9 29' W., to latitude 49 16 N. and 
 longitude 9 29' W. The variation is 19 20' W. and deviation 
 is 3 16' E. 
 
 Ans. Compass course S. 16 04' W. Distance 129 
 miles. 
 
 II. A ship sails from latitude 44 30' N. 290 miles, when she 
 finds her departure is 161.1. What is the true course she has 
 sailed, the difference of latitude, and latitude in? 
 
 Ans. Course NW. by N. Diff. latitude 241.1 and 
 Latitude in 48 31' 06" N. 
 
 III. What is the position of the ship after sailing on the 
 following courses (true) and distances: NNE. 40 miles; E. by 
 S. 60 miles; SE. 70 miles; and SW. 48 miles? 
 
 Ans. Diff. lat. 58.2; dep. 897; course made good 
 S. 57 01' E.; distance 106.9. 
 
 IV. A rock was sighted in latitude 39 40' S., longitude 
 87 15' E., bearing NNE., distant 15 miles. Afterwards 
 sailed: E. by S., 37 miles; EKE., 44 miles; N. W., 51 miles; 
 and ESE., 29 miles. What is the position of the ship? (The 
 bearings and courses are true.) 
 
 Ans. Course made good N. 70 E. ; distance 102 
 miles. Latitude in 39 05' S.; longitude in 89 17' E. 
 
 V. From latitude 18 35' S., longitude 123 23' E., the ship 
 sails 225 miles SW. i W. by compass. What is her position ? 
 The variation is U point E. and deviation is 6 35' W. 
 
 Am. Latitude in 20 24' 06" S.; longitude in 119 
 55' 00" E. 
 
BY OBSERVATIONS. 35 
 
 VI. A danger bears by compass S. 34 E. 29 miles, variation 
 is one point west, and deviation is 1 50' E. What is the true 
 bearing of the danger ? The latitude of the danger is 00 52' N. 
 and longitude is & 40' E. 
 
 Ans. N. 43 25' W., 29 miles. 
 
 CHAPTER IV. 
 BY OBSERVATIONS. 
 
 THE method of finding the ship's position by dead-reckon- 
 ing must of course be liable to many errors, arising from the 
 great difficulty in steering a steady course, different rates of 
 sailing between the times of heaving the log, incorrect allow- 
 ance for leeway and variation, and more frequently from the 
 effects of the drift of the sea and unknown currents ; hence it 
 becomes necessary to determine the position by celestial ob- 
 servations when the opportunity offers. 
 
 The Zenith. The heavens appear to form the upper half 
 of a hollow sphere, and this celestial surface may be conceived 
 to be divided by imaginary circles that are made to correspond 
 with those of the earth ; thus if the axis of the earth were ex- 
 tended it would p-.iss through the north and south poles of the 
 heavens. The celestial equator is a circle in the heavens cor- 
 responding with the equator of the earth, and the celestial 
 meridians correspond also with those of the earth ; hence it 
 will be seen that if we determine the point immediately over 
 head, called The Zenith, it would be the same as finding the 
 position of the ship on the earth. The method for finding 
 this position differs from that of dead-reckoning in the de- 
 termination of the position directly from observations of the 
 heavenly bodies and not by a reference to some other geo- 
 graphical spot. 
 
 The instruments used to obtain the data necessary for the 
 determination of the position by observations are the Chro- 
 nometer and Sextant. 
 
 The Chronometer is a superior kind of watch, so con- 
 structed that its daily gain or loss by variation of temperature 
 
36 SIMPLE ELEMENTS OF NAVIGATION". 
 
 is reduced to a minimum. The machinery is of such delicate 
 construction that the greatest possible care must be taken of 
 it both at sea and in harbor. It should never be moved from 
 its place on board, but kept as near the same temperature as 
 possible, and is defended from violent shocks by the case^being 
 lined with soft wool and preserved in a horizontal position by 
 being hung on gimbals. It should be wound up every day at 
 the same hour and the key turned steadily through each turn. 
 
 Error and Rate. The chronometers are intended to keep 
 the mean time of Greenwich, but as none of these are perfect 
 the Error should be ascertained before going to sea and also 
 its Daily Rate. 
 
 The error is said to be fast or slow as the chronometer is fast 
 or slow of Greenwich mean time. The daily rate is the 
 change in its error in twenty-four hours, and if the instrument 
 is going too fast the rate is said to be gaming: if too slow, 
 losing. 
 
 A chronometer is best rated at an observatory ; but at all 
 large sea-ports an electrical ball is dropped at a certain hour 
 every day from a point at which it can be seen from all over 
 the harbor. By a comparison with this the error can be found, 
 and if taken in successive days the rate. In the absence of 
 this some good clock-maker can be found to compare your 
 chronometer with one of known rate and error. 
 
 After going to sea the rate is almost sure to change some; 
 and it is not unwise, on arriving in port, to compare with the 
 chronometers of other ships, should there be no time-ball. The 
 difference between the two rates being divided by the interval 
 elapsed will be what is called the sea rate. 
 
 The Sextant is an instrument used to measure the altitude 
 of a heavenly body above the horizon, or the angular distance 
 between objects. The description, names, and uses of the dif- 
 ferent parts may be best learned from the instrument itself, 
 which may be found in almost any optician's store. 
 
 From the figure the names of the different parts maybe seen. 
 AA is the limb ; 7, the index -bar ; M, the index-glass, which 
 stands upon and moves with the index-bar ; m is the horizon- 
 glass fixed to the frame, and which is only silvered on half the 
 surface; Pand Q are the shade-glasses to modify the bright- 
 ness of the sun ; E is the sight -tube or telescope carried by the 
 collar .5!" ; H is the magnifying-glass to assist in reading the 
 
BY OBSERVATIONS. 
 
 37 
 
 scale, is attached to an arm which moves upon a pivot S ; B 
 is the tangent-screw to give a small motion to the index-bar 
 
 THE SEXTANT. 
 
 when the clamp-screw is tight, C is the clamping-screw, and 
 Fis the vernier carried by the index-bar. 
 
 The limb is graduated to 120 from the zero point and 
 to a few degrees on the opposite side of the zero point. The 
 degrees are divided at every ten or twenty minutes, and these 
 are subdivided by the vernier to ten or twenty seconds, thus 
 enabling the angles to be read by estimating to five or ten 
 seconds. 
 
 The Adjustments are four in number. I. See if the in- 
 dex-glass is perpendicular to the plane of the instrument by 
 placing the index near the middle of the limb, and whilst 
 looking in the index-glass see if the reflected limb in the glass 
 forms an unbroken line with the limb itself ; if not, make it so 
 by means of the screws at the back of the glass. 
 
 II. See if the horizon-glass is perpendicular to the plane of 
 the instrument, by looking through the sight-tube and the 
 horizon-glass at the horizon and holding the instrument in a 
 
38 SIMPLE ELEMENTS OF KAVIGATIOK. 
 
 vertical position, move the index till the reflection of the 
 horizon in the silvered part of the glass forms an unbroken 
 line with the one seen direct, fasten the index by the clanlp- 
 screw and incline the instrument to the right or left to see 
 whether the true and reflected horizons continue to form an 
 unbroken line ; if not, they can be made so by means of the 
 screw at the back of the instrument. 
 
 III. See that the axis of the telescope, when screwed into 
 the collar, is parallel to the plane of the instrument by placing 
 two of the wires of the telescope parallel to the plane of the 
 instrument, and then measure the distance between two objects 
 more than 90 apart, and bring them in contact on the wire 
 nearest the instrument; by moving the sextant slightly the two 
 objects may be brought to the other wire ; if they still be in 
 contact the adjustment is correct, but if they separate or top 
 one over the other, the adjustment is made by means of the 
 screws in the collar of the telescope. 
 
 IV. See that the horizon-glass is parallel to the index-glass 
 when the zero of the vernier is opposite to zero on the limb 
 by looking at the horizon and holding the instrument in a 
 vertical position. Place the two zeros together and look 
 through the horizon glass at the horizon, holding the instru- 
 ment vertical. If the true horizon through the clear part of 
 the glass appear in a straight line with the reflected in the 
 silvered part the two glasses are parallel ; if not they are made 
 so by turning the lower screw at the back of the glass. 
 
 Index Error. If this last adjustment has not been cor- 
 rectly made the instrument can be used as well, but the read- 
 ing will want correction for every angle measured ; this cor- 
 rection is called the Index Error. This error is found by mak- 
 ing the horizons form an unbroken line whilst holding the in- 
 strument in a vertical position, and the distance from zero on 
 the limb to the zero on the vernier will be the index error, to 
 be subtracted from the angles measured if zero on the vernier 
 is to the left of zero on the limb, otherwise add. A more ac- 
 curate way is by measuring the diameter of the sun on both 
 sides of zero. If both measurements read alike there will be 
 no index error ; if they are unlike, half their difference will 
 be the index error, to be subtracted if the measurement taken 
 on the left of zero is larger ; otherwise, to be added. 
 
 To Take an Altitude. When taking an altitude of the sun 
 
UY OBSERVATIONS. 39 
 
 it is customary to bring the sun's lower limb in contact with 
 the horizon, but if the lower limb is obscured the upper limb 
 can be used. As no level or plumb-line can be used in taking 
 the altitude the sextant should be held as nearly perpendicular 
 as possible, and when the reflected image is brought down to 
 the horizon by moving the index by hand clamp it there, ancT 
 while sweeping the horizon the image will appear to form a 
 curve ; use the tangent-screw till the limb just touches the 
 horizon at the lowest part of the curve. 
 
 The altitude when thus taken on the meridian enables us to 
 find the latitude, and when not taken on the meridian fur- 
 nishes the means of finding the time of the ship and thence 
 the longitude. This altitude above the sea horizon is called 
 the Apparent Altitude and must be corrected to reduce it to 
 the True Altitude. These corrections are : dip, index error, 
 refraction, parallax, and semi-diameter. 
 
 The Dip is the depression of the sea horizon below the level 
 of the eye, and will depend upon the elevation of the e}'e above 
 the level of the sea ; should be subtracted from the apparent 
 altitude because it makes the altitude appear more than it 
 really is. The dip is given in Table II. 
 
 Refraction is due to the earth's atmosphere, which bends 
 the rays of light passing through it into a position more nearly 
 vertical and thus enabling us to see a heavenly body when 
 really below r the horizon. The effect then of refraction is to 
 make the heavenly body appear higher than it really is ; hence 
 the correction for refraction must be substracted from the 
 apparent altitude. This correction depends upon the altitude 
 of the heavenly body being most when near the horizon and 
 nothing when in the zenith. The refraction is given in 
 Table II. 
 
 Parallax is a correction to be added to the apparent alti- 
 tude to make it what it would have been if observed at the 
 centre of the earth. The parallax decreases with the altitude, 
 being most when in the horizon and nothing when in the 
 zenith. Parallax is given in Table II. 
 
 Semi-diameter is the correction to be applied to obtain the 
 altitude of the centre of the object. If the lower limb of the 
 sun was used it should be added to the apparent altitude and 
 subtracted when the upper limb is used. The semi diameter of 
 the sun may be taken at 16'. 
 
40 SIMPLE ELEMENTS OF NAVIGATION. 
 
 CHAPTER V. 
 To FIND THE LATITUDE. 
 
 Astronomical Date. In finding certain data from the 
 tables the astronomical date is used, which begins 12 hours 
 behind the civil date, and is counted from noon to noon, or 24 
 hours, whereas the civil date commences at midnight and is 
 divided into two parts of 12 hours. Suppose the day is what is 
 ordinarily called the 4th July, and it wants 2 hours to noon, it 
 would be 10 A M. of the 4th July civil date, but astronomi- 
 cally it is July 3d, 22 hours. 
 
 To Find the Latitude. The latitude of a place, being its 
 distance from the equator measured on the meridian, must 
 correspond with the distance from the celestial equator to the 
 zenith. As the zenith is right overhead, it is 90 degrees from 
 the horizon ; hence, if the celestial equator were visible in the 
 heavens, it would only be necessary to take its altitude, which 
 subtracted from 90 would give the latitude. As we cannot see 
 the equator, some heavenly body is taken whose distance from 
 the equator is known. In case of the sun, it appears to move 
 during the year in a path inclined to the equator at an angle of 
 23 degrees and 28 minutes, crossing the equator twice during 
 the year, once in March and again in September, reaching its 
 farthest north in June and farthest south in December. Its 
 distance at any time from the equator measured on a meridian 
 is called its Declination, -north when it is north of the equator, 
 and south wJien south of it. 
 
 The declination is given in Table III for each month when 
 the sun is on the meridian of Greenwich; and as the declina- 
 tion is constantly changing, the difference for one hour is also 
 given in the table. 
 
 To find the declination at any time, obtain the astronomical 
 date, and take from Table III the declination opposite the day 
 of the mouth ; now multiply the difference for one hour by 
 the longitude in time, which is one hour for every 15 degrees, 
 and, if the declination be increasing, add in west but subtract 
 in east longitude. If the declination be decreasing, subtract 
 in west but add in east longitude. 
 
TO FIND THE LATITUDE. 41 
 
 The Meridian Altitude of the sun is the greatest it will 
 acquire during the day, and as it crosses the meridian it is 
 necessary to commence taking its altitude a little before, and 
 keep its image in contact with the horizon till it begins to 
 fall. Correct this altitude to find the true altitude accord- 
 ing to the principles previously explained, and to avoid any 
 mistakes it would be best to prefix the signs of addition and 
 subtraction, + and , to the known corrections and those that 
 are found in Table II. These corrections may be written in a 
 separate form, and applied one to the other according to their 
 several signs for a whole correction to be added or subtracted 
 as the sign implies. 
 
 Meridian Zenith Distance. As the zenith is 90 degrees 
 from the horizon, subtracting this true meridian altitude from 
 90 will give the distance of the sun from the zenith while on 
 the meridian, or the meridian zenith distance. This meridian 
 distance mark north when the sun bears south, or south when it 
 bears nwth. 
 
 Now with the meridian zenith distance given and the decli- 
 nation known, the latitude is found by adding them together 
 if they are of the same name, or taking their difference if of 
 different names. The latitude will be of the same name as 
 the greater. 
 
 EXAMPLES. 
 
 At sea, June 21, 1887, in longitude 60 W., the observed 
 altitude of the sun's lower limb was 40 04' ; sun bearing 
 south ; index correction 3' 00" (add) ; height of the eye 20 
 feet. Find the latitude. 
 
 In Table III, with the year at the top and the clay of the 
 month at the left of the page, we find the declination under 
 June to be 23 27' N., and the corresponding difference for 
 one hour to be zero. This difference for one hour multiplied 
 by four hours, the longitude (60 divided by 15), gives for the 
 correction to the declination nothing ; hence the true declina- 
 tion is 23 27' 00" N. 
 
 The observed altitude, 40 04', having been corrected as be- 
 fore explained, the true altitude is found to be 40 17' 35", 
 which subtracted from 90 gives the meridian zenith distance 
 49 42' 25", which is marked north as the sun bore south. 
 
 The declination and meridian zenith distance having the 
 
42 SIMPLE ELEMENTS OF KATIGATIOK 1 . 
 
 same name, we take their sum and find the latitude to be 
 72 09' 25" N. 
 
 For the sake of convenience it is always best to have a par- 
 ticular.form for all problems in which the data are written and 
 the result obtained ; besides it tends to preserve neatness in 
 the navigation book, and facilitates an easy means of compari- 
 son with other results. 
 
 The form in this case should be: 
 
 Obs. Alt. 40 04' 00" S. D. +16' 00" 
 
 Corr. +13 35 I. C. + 3 00 
 
 Ref . - 1 09 
 
 True Alt. 40 17 35 Dip 4 23 
 
 90 00 00 Par. + 07 
 
 M. Z. D. 49 42 25 N. Cor. + 13 35 
 
 True Dec. 23 27 00 N. 
 
 Latitude 7j 09 25 K 
 
 Dec. 23 27' 00" N. Hr. Diff. 0" 
 Corr. 00 00 Long. 4 hrs. 
 
 True Dec. 23 27 00 N. Corr. 
 
 At sea June 1, 1886, in longitude 44 40' W., the observed 
 altitude of the sun's lower lirnb was 72 14' 10"; sun bearing 
 south; index error + 3' 45"; height of the eye 22 feet. Find 
 the latitude. 
 
 Longitude 44 40' W. is 3 hrs. 14 m. 40 s. W., or 34 hrs 
 nearly. 
 
 Obs. Alt. 72 14' 10" S. D. + 16' 00" 
 
 Corr. + 14 54 I. C. + 3 45 
 
 Ref. 1$ 
 
 True Alt. 72 29 04 Dip 4 36 
 
 90 00 00 Par. + 3 
 
 M. Z. D. 17 30 56 N. Corr. + 14 54 
 
 True Dec. 22 06 g K. 
 
 Latitude 39 3 t N. 6 ; 
 
 Dec. 22 05' 00" N. Hr. Diff. 20" 
 
 Corr. +105 Long. 3| hrs 
 
 True Dec. 22 06 05 K Corr. +6' or+1' 05' 
 
TO F1XD THE LATITt'DK. 43 
 
 At sea June 25, 1886, in longitude 59 15' E. (3 h. 57 min.), 
 the observed altitude of the sun's upper limb was 60 23' 14"; 
 sun bearing north; index error -- 2' 21"; height of the eye 30 
 feet. Find the latitude. 
 
 Obs. Alt. 60 23' 14" S. D. - 16' 00" 
 
 Corr. - 24 12 I. C. - 2 21 
 
 Ref. - 33 
 
 True Alt. 59 59 02 Dip 5 22 
 
 90 00 00 Par. -f 4 
 M. Z. D. 30 00 58 S. 
 
 True Dec. 23 24 15.8 N. Corr. -24 12 
 
 Latitude 6 36 42.2 S. 
 
 Dec. 23 24' 00" N. Hr. Diff. 4" 
 
 Corr. 15.8 Long. 3.95 hrs. 
 
 True Dec. 23 24 15.8 N. Corr. +15". 80 
 
 At sea October 3, 1887, in longitude 67 30' W., the observed 
 meridian altitude of the sun's lower limb was 40 23' 50 '; sun 
 bearing N.; index correction J r 1' 30'; height of the eye 18 
 feet. Find the latitude. 
 
 Obs. Alt. 40 23' 50" S. D. + 16' 00' 
 
 Corr. + 12 20 I. C. + 1 30 
 
 Ref. - 1 07 
 
 True Alt. 40 36 10 Dip 4 11 
 
 90 00 00 Par. -f 08 
 
 M. Z. D. 49 23 50 S. Corr. -f 12 20 
 
 True Dec. 4 00 21 S. 
 
 Latitude 53 24' 11 S. 
 
 Dec. 3 56' 00" S. Hr. Diff. 58" 
 
 Corr. -|- 4 21 Long. 4.5 hrs. 
 
 True Dec. 4 00 21 S. 290 
 
 232 
 
 261"0 
 Corr. + 4' 21" 
 
 At sea Feb. 21, 1888, in longitude 45 W., the observed 
 meridian altitude of the sun's lower limb was, 55 43' 10"; sun 
 
44 SIMPLE ELEMENTS OF NAVIGATION". 
 
 bearing S.; index correction 2' 10"; height of the eye 19 
 feet. Find the latitude. 
 
 Obs. Alt. 55 43' 10" S. D. + 16' 00" 
 
 Corr. -f 8 59 I. C. - 2 10 
 
 Ref. - 40 
 
 True Alt. 55 52 09 Dip 4 16 
 90 00 00 Par. + 5 
 
 
 M. Z. D. 34 07 51 N. Corr. + 8 59 
 
 True Dec. 10 35 18 S. 
 
 Latitude 23 32 33 N. 
 
 Dec. 10 38' 00" S. Hr. Diff. 54" 
 
 Corr. - 2 42 Long. 3 hrs. 
 
 True Dec. 10 35 18 S. 162" 
 
 Corr. - 2' 42" 
 
 At sea Jan. 23, 1888, in longitude 4 hours and 12 minutes 
 E. , the observed meridian altitude of the sun's lower lirnb was 
 77 15' 30"; sun bearing K; index correction 3' 10"; height 
 of the eye 19 feet. Find the latitude. 
 
 Obs. Alt. 77 15' 30" S. D. -f 16' 00" 
 
 Corr. + 8 23 I. C. 3 10 
 
 Ref. - 13 
 
 True Alt. 77 23 53 Dip 4 16 
 
 90 00 00 Par. + 02 
 
 M. Z. D. 12 36 07 S. Corr. -f 8 23 
 
 True Dec. 19 32 27 S. 
 
 Latitude 32 08 27 S. 
 
 Dec. 19 30' 00 S. Hr. Diff. 35" 
 
 Corr. -f 2 27. Long. 4. 2 hrs. 
 
 True Dec. 19 32 27 S. 70 
 
 170 
 
 147".0 
 
 Corr. + 2' 27" 
 
 At sea April 20, 1888, in longitude about 40 15' W., the 
 observed meridian altitude of the sun's lower limb was 63 
 
TO FIND THE LONGDITUDE. 45 
 
 01' 30"; sun bearing N. ; index correction -- 3' 10"; height of 
 the eye 19 feet. Find the latitude. 
 
 Ohs. Alt. 63 01' 30" S. D. + 16' 00" 
 
 Corr. -f 8 09 I. C. - 3 10 
 
 Ref. - 29 
 
 True Alt. 63 09 39 Dip 4 16 
 
 90 00 00 Par. + 04 
 
 M. Z. D. 26 50 21 S. Corr. -f 8 09 
 
 True Dec. 11 48 18 N. 
 
 Latitude 15 02 03 S. 
 
 Dec. 11 46' 00" N. Hr. Diff. 51" 
 
 Corr. + 2 18 Long. 2.7 hrs. 
 
 True Dec. 11 48 18 N. 137".7 
 
 Corr. + 2' 17". 7 
 
 CHAPTER VI. 
 To FIND THE LONGITUDE. 
 
 THE earth in its revolution about its axes from west to east 
 once in twenty-four hours causes the sun to pass over 360 
 degrees in that time, which is equal to 15 degrees per hour. 
 As longitude is measured on the equator in degrees, minutes, 
 and seconds, we have at once the connection between it and 
 time, or 15 is equivalent to one hour, 15' to one minute, and 
 15" to one second. As the motion of the sun is from east to 
 west, apparently, it follows that all places east of us will have 
 the sun on their meridian before it comes to ours, therefore 
 it will be later there than at our place ; and all places to the 
 westward of us will have the sun on their meridian after it 
 has passed ours, therefore it will be earlier there than at our 
 place. Now, it has been stated, the first meridian, from which 
 all longitudes are reckoned, is the one passing over Green- 
 wich ; hence the difference of time between Greenwich and 
 any place is the longitude of that place. To find the longi- 
 tude, then, of any place would be to find the time of the place 
 and apply it to the Greenwich time. 
 
46 SIMPLE ELEMENTS OF NAVIGATION. 
 
 As the sun, which is supposed to mark the days and hours 
 by its passage in the heavens, is irregular in its motion, it is 
 necessary to take into consideration, besides the two modes of 
 counting dates, two kinds of time apparent time and mean 
 time. 
 
 Apparent Time is that shown by the sun, estimating the 
 apparent noon the moment the sun passes the meridian, and if 
 it were possible to determine that moment with accuracy at 
 sea, we could then obtain the apparent time at ship ; but the 
 length of the days would vary as much as half an hour during 
 the year if they were determined by the sun's passage over 
 the meridian. 
 
 Mean Time. As it is impossible to construct watches or 
 chronometers to show this apparent time, we make use of 
 what is called mean time, which makes the days of uniform 
 length throughout the year, and is therefore sometimes in 
 advance of the time shown by the sun and sometimes behind 
 it. This is the time shown by all well-regulated watches and 
 chronometers. 
 
 Equation of Time. There is sometimes a difference of a 
 quarter of an hour between this apparent and mean time. 
 This difference is called the equation of time, and is given in 
 Table IV at Greenwich noon for each day of the month, and 
 must be applied to the apparent time according to the instruc- 
 tions given at the top of the column, in order to obtain the 
 mean time. This equation of time found in Table IV must 
 be corrected for the Greenwich time. In Table IV, under 
 the daily variation at the top and opposite the hour of Green- 
 wich at the side, the number of seconds will be found to 
 a PPty to the equation of time found in Table IV to obtain 
 the correct equation of time. 
 
 The method of obtaining the apparent time at sea, and thence 
 the mean time, is by observing the altitude of the sun, taken 
 either in the forenoon or afternoon when it is rising or falling 
 fastest, or when bearing nearly east or west, noting the time 
 by watch at the same instant. 
 
 The preliminary steps in solving this problem will consist 
 in finding the following data: the correct Greenwich date ex- 
 pressed astronomically, the true altitude of the sun, latitude of 
 the place, and the polar distance of the sun. 
 
 The Greenwich date is found by comparing the watch with 
 
TO FIND THE LONGITUDE. 47 
 
 the chronometer, which will give the time shown by the chro- 
 nometer when the observation was taken ; apply the error 
 and rate of the chronometer and the Greenwich mean time is 
 obtained. 
 
 The true altitude is found by correcting the observed alti- 
 tude for semi diameter, index correction, refraction, clip, and 
 parallax in the same manner as explained for correcting the 
 meridian altitude. 
 
 The latitude of the place is found by dead-reckoning from 
 the last position to the time of observing the altitude. It is 
 sometimes the practice to observe an altitude in the morning 
 for time and delay working till noon, when the meridian alti- 
 tude gives the latitude which is worked back by dead-reckon- 
 ing to the time of taking the observation. 
 
 The polar distance is the distance of the sun from the north 
 pole when the observation is taken in north latitude, and its 
 distance from the south pole when taken in south latitude. 
 
 Take from Table III the declination corresponding to the 
 Greenwich date, and multiply the difference for one hour by 
 the Greenwich time, which apply as before explained to obtain 
 the true declination. 
 
 As the declination is the distance of the sun from the equator 
 and the equator is 90 from the poles, it follows that the declina- 
 tion subtracted from 90 if of the same name [as the latitude, 
 or added if of a contrary name, will give the polar distance. 
 
 Having thus found the correct altitude, latitude, and polar 
 distance, the apparent time of observation may be found by 
 the following method and the use of Table V. In this table, 
 if the sine or cosine sought is marked at the top of the page, 
 the title, hour A.M. or P.M., is also found at the top, and the 
 contrary if the sine or cosine is marked at the bottom. 
 
 Add together the altitude, latitutie, and polar distance and 
 take half their sum ; from this half sum subtract the altitude 
 and note the remainder. Take from Table V the secant of 
 the latitude, the cosecant of the polar distance (rejecting 10 
 in the index), the cosine of the half sum, and the sine of the 
 remainder ; add these together and take half the sum, which 
 seek for in the column of sines, and opposite to it will be the 
 corresponding apparent time. 
 
 Take from Table IV the equation of time corresponding to 
 the Greenwich date, corrected for Greenwich time by Table 
 
48 SIMPLE ELEMENTS OF NAVIGATION. 
 
 and apply it to this apparent time according to the 
 directions at the top of the column, and we shall obtain the 
 mean time of the observation. Take the difference between 
 this and the Greenwich time, and the result is the longitude 
 east when the Greenwich time is the least, and west if the 
 Greenwich time is greater than the time of the place. 
 
 EXAMPLE. 
 
 On Nov. 9, 1889, in the forenoon, the observed altitude of 
 the sun's lower limb was 22 29' 20" ; height of the eye 17 
 feet; index correction -f- 2' 45"; watch time of observation 
 8 h 51 m 57 s A.M.; slow of chronometer time 4 h 54 m 15 8 ; chro- 
 nometer correction 2 m 12 s ; with latitude by dead-reckoning 
 35 North. Find the longitude. 
 
 PREPAKATION OF DATA. 
 
 W. Time 8" 51 m 57 s A.M. Obs. Alt. 22 -29' 20" 
 C. W. 4 54 15 S. D. + 16 00 
 
 I. C. + 2 45 
 
 C. Time 1 46 12 P.M. Ref. - 2 20 
 
 C. Corr. - 2 12 Dip - 4 02 
 
 Par. + 8 
 
 G. M. T. 1 44 00 P.M. 
 
 True Alt, 22 41 51 
 
 Dec. 17 00' 00" S. DiflE. l b 43" 
 
 Corr. -f 1 13 G. M. T. 1.7 
 
 True Dec. 17 01 13 S. Corr. 73.1 
 
 90 00 00 or -f 1' 13" 
 
 Pol. Dist. 107 01 13 
 
 SOLUTION. 
 
 Alt. 22 41' 51" 
 
 Lat. 35 00 00 sec 0.08664 
 
 Pol. Dist. 107 01 13 cosec 0.01945 
 
 Sum 164 43 04 
 
 Half Sum 82 21 32 cos 9.12374 
 
 Alt. 22 41 51 
 
 Rem. 59 39 41 sin 9.93604 
 
 2)19.16587 
 sin 9.58293 
 
TO FIXD THE LONGITUDE. 49 
 
 Local App. Time 8 h 59 m 58 9 A.M. 
 Equation of Time - 16 01 
 
 Local M. Time 8 43 57 A.M. 
 
 Gr. M. Time 1 44 00 P.M. 
 
 Diff. Time 5 00 03 
 Longitude 75 00' 45" W. 
 
 Equation of Time, Table IV, 16 m 02 8 
 
 Daily Variation 6 s 
 Correction, Table IVa, 1 
 
 Equation of Time 16 01 
 
 About 8 A.M. April 3, 1888, in latitude 20 45' S. and east 
 longitude, the observed altitude of the sun's lower limb was 
 24 37' 10" ; index correction -|- 2' 20" ; height of the eye 19 
 feet ; watch time of observation 7 h 57 m 07 s . 5 ; slow of chro- 
 nometer time 5 1 ' 57 m 24 s ; chronometer correction 3 m 38 8 . 
 Find the longitude. 
 
 PREPARATION OF DATA. 
 
 W. Time 7 h 57 m 07 s . 5 Obs. Alt, 24 37' 10" 
 
 C. W. 5 57 24 S. D. -f 16 00 
 
 I. C. + 2 20 
 
 C. Time 1 54 31.5 Ref. 2 06 
 
 C. Corr. - 3 38 Dip 4 16 
 
 Par. + 08 
 
 G. M. T. 3d 13 50 53.5 
 
 True Alt, 24 49 16 
 
 Dec. 5 35' 00" N. Hr. Diff. 57" 
 
 Corr. + 13 06 G. M. T. 13.8 hrs. 
 
 True Dec. 5 48 06 K 786.6 
 
 90 00 00 Corr. -f 13' 06". 6 
 
 Pol. Dist. 95 48 06 
 
 SOLUTION. 
 
 Alt. 24 49' 16" 
 
 Lat. 20 45 00 sec 0.02913 
 
 Pol. Dist. 95 48 06 cosec 0.00223 
 
 Sum 141 22 22 
 
50 SIMPLE ELEMENTS OF NAVIGATION. 
 
 Half Sum 70 41 11 cos 9.51948 
 
 Alt. 24 49 16 
 
 Rem. 45 51 55 sin 9.85594 
 
 2)19.40678 
 
 Local App. Time 7 h 57 m 17 s A.M. sin 9.70339 
 
 Equation of Time + 3 00 
 
 Local M. Time 8 00 17 A.M. 
 Gr. M. Time 1 50 53.5 A.M. 
 
 Diff. Time 6 09 23.5 
 Longitude 92 20' 33" E. 
 
 Equation of Time, Table IV, + 3 m 10 
 
 Daily Variation 18 s . 
 Correction, Table IV, 10 
 
 Equation of Time + 3 00 
 
 About 8 A.M. Feb. 21, 1888, in latitude 24 10' N. and 
 west longitude, the observed altitude of the sun's lower limb 
 was 21 44' 10"; index correction -- 2' 10"; height of the eye 
 19 feet ; watch time of observation 8 h Ol m 12 s ; slow of chro- 
 nometer time 3 h 04 m 07 s ; chronometer correction -{- 7 m 35 s . 
 Find the longitude. 
 
 PREPARATION OF DATA. 
 
 W. Time 8" 01'" 12 s A.M. Obs. Alt. 21 44' 10" 
 C. W. 3 04 07 S. D. + 16 00 
 
 I. C. 2 10 
 
 C. Time 11 05 19 A.M. Ref. - 2 25 
 
 C. Corr. -f 7 35 Dip 4 16 
 
 Par. + 08 
 
 G. M. T. 22d 23 12 54 
 
 or True Alt. 21 51 27 
 
 21st -- 0.79 
 
 Dec. 10 38' 00" S. Hr. Diff. 54" 
 Corr. + 43 G. M. T. - 79 
 
 True Dec. 10 38 43 S. Corr. -f 42.66 
 
 90 00 00 
 
 Pol. Dist. 100 38 43 
 
TO FIND THE LONGITUDE. 
 
 51 
 
 SOLUTION. 
 
 Alt. 21 51' 27" 
 Lat. 24 10 00 
 Pol. Dist. 100 38 43 
 
 sec 
 cosec 
 
 0.03983 
 0.00754 
 
 Sum 146 40 10 
 
 Half Sum 73 20 05 
 Alt. 21 51 27 
 
 Rem. 51 28 38 
 
 Local App. Time 7 h 59 m 53 s A.M. 
 Equation of Time +13 53 
 
 cos 9.45754 
 
 sin 9.89340 
 
 2)19.39831 
 
 sin 9.69915 
 
 Local M. Time 8 13 46 A.M. 
 Gr. M. Time 11 12 54 A.M. 
 
 Diff. Time 2 59 08 
 Longitude 44 47' 00" W. 
 
 Equation of Time, Table IV, -f 13 m 53 s 
 
 Daily Variation O 8 . 
 Correction, Table IV, 
 
 Equation of Time -f 13 53 
 
 On April 3, 1888, in the forenoon, in latitude 29 42' 30" S. 
 and east longitude, the observed altitude of the sun's lower 
 limb was 22 41' 30" ; index correction - - 2' 30" ; height of 
 the eye 24 feet; watch time of observation 8 h 06 m 20 s . 5 ; 
 slow of chronometer time 8 h 08 m 14 s ; chronometer correction 
 - 6 m 19 s . Find the longitude. 
 
 PREPARATION OF DATA. 
 
 W. Time 8 h 06 m 20 s . 5 A.M. 
 
 C W. 8 08 14 
 
 C. Time 4 14 34 .5 
 C. Corr. - 6 19 
 
 G. M. T. 2d 16 08 15.5 
 or 
 
 3d - 7 h .86. 
 
 Obs. Alt, 22 41' 30" 
 S. D. + 16 00 
 I. C. 2 30 
 Ref. 2 19 
 Dip - 4 48 
 Par. -f 08 
 
 True Alt. 22 48 01 
 
SIMPLE ELEMENTS OF NAVIGATION. 
 
 Dec. 5 35' 00" N. 
 Corr. - 7 28 
 
 Hr. Diff. 57" 
 G. M. T. - 7.86 
 
 True Dec. 5 27 32 N. 
 90 00 00 
 
 Corr. 448.02 
 or 
 
 - 7' 28" 
 
 Pol. Dist. 95 27 32 
 
 SOLUTION. 
 
 Alt. 22 48' 01" 
 Lat. 29 42 30 
 Pol. Dist. 95 27 32 
 
 sec 
 cosec 
 
 0.06120 
 0.00198 
 
 Sum 147 58 03 
 
 Half Sum 73 59 01 
 
 Alt. 22 48 01 
 
 Rem. 51 11 00 
 
 Local App. Time 8 h 00 m 43 s A.M. 
 Equation Time -f 3 15 
 
 cos 9.44077 
 
 sin 9.89162 
 
 2)19.39557 
 
 sin 9.69778 
 
 Local M. Time 8 03 58 A.M. 
 Gr. M. Time 4 08 15.5A.M. 
 
 Diff. Time 3 55 42.5 
 Longitude 58 55' 37" E. 
 
 Equation of Time, Table IV, + 3 m 10 s 
 
 Daily Variation 18 s . 
 Correction Table YVa, -{- 5 
 
 Equation of Time -f 3 3 15 
 
 CHAPTER VII. 
 
 IT has already been said the sun should be observed for 
 time when bearing nearly east or west, for then the altitude 
 cannot only be observed with more accuracy and the time 
 npted more exactly when the sun is rising or falling the fast- 
 
A SUMNER. 53 
 
 est, but the longitude can be found without the necessity of 
 the latitude being accurately known; in fact an uncertainty 
 of two or three degrees in the latitude would not make much 
 difference in the time derived from the observation. 
 
 As the sun begins to move away from the east or west 
 points the error in the latitude begins to affect the longitude 
 more and more, until at north or south a very slight difference 
 in the latitude makes a great difference in the longitude. 
 
 The sun can only pass the east or west points when its dec- 
 lination is of the same name as the latitude; but when they 
 are of contrary names the sun cannot bear east or west, but 
 will come nearer to those points at rising or setting, at \vhich 
 time the low altitude is too much affected by the excessive 
 refraction. In either case clouds and other causes will often 
 interfere to prevent the observation being taken at or near 
 the proper bearing; hence it is plain the latitude should be 
 accurately known. 
 
 Now it will often happen that a meridian altitude for lati- 
 tude cannot be had for several days, while at the same time 
 dead-reckoning must be relied upon to work the latitude up 
 to the time of the observation, from which an error is sure to 
 follow. It remains, then, to show what use can be made of 
 the sun to find the position of the ship when the sun occupies 
 a place neither east nor west nor on the meridian. This 
 brings us now to the most important problem in navigation, 
 and one which is universally used at sea, called " a simmer." 
 
 This method consists in working the observation, when 
 the latitude is uncertain, with two assumed latitudes, the one 
 a little greater and the other a little less than the latitude we 
 are supposed to be in, by which one observation for time en- 
 ables us to find the bearing of laud, and two observations, be- 
 tween which the sun has changed its bearing, will give us 
 both the latitude and longitude provided the chronometer is 
 right or its error and rate are known. 
 
 Circles of Equal Altitudes. At any given instant the 
 sun is vertically above some point on the earth's surface. At 
 this spot an observer with a sextant would find the true alti- 
 tude of the sun's centre to be 90 degrees. If, however, the ob- 
 server should shift his position away from the sun, its dis- 
 tance from his zenith would of course become greater and its 
 altitude less. He would then be situated upon a small circle 
 
54 SIMPLE ELEMENTS OF NAVIGATION. 
 
 the centre of which would be the spot under the sun. All 
 persons on that circle would have the sun at an equal alti- 
 tude. Finally, when he came to the horizon, all points on the 
 circle would have the sun in the horizon. These circles of 
 equal altitudes cut the various parallels of latitude and merid- 
 ians at different angles. Near the east and west points the 
 circles runup and down nearly with the meridians; so that 
 if the observer were at the east or west points of the circle it 
 would make little difference whether the latitude were exact 
 or not, for there the longitude remains nearly the same for a 
 long distance in latitude. Near the north and south points 
 the circles run nearly east and west with the parallels of lati- 
 tude; so that if he were at one of those points of the circle, a 
 very slight difference in the latitude would make a great dif- 
 ference in the longitude. Hence it follows if an observer 
 had a certain altitude we see that different latitudes would 
 put him at different points of his circle of equal altitudes, 
 and that these points would differ in longitude, at first slowly 
 when near east or west, and then more rapidly as the point 
 approached north or south. 
 
 Line of Position. As the circles are so large, compared 
 with the difference between the latitudes which are used, this 
 portion of the circle may be regarded as a straight line, which 
 line is called a line of position, and is always at right angles 
 to the bearing of the sun. 
 
 To obtain this line of position in actual practice, assume a 
 latitude which is 10 to 30 minutes greater than that by dead- 
 reckoning and a latitude 10 to 30 minutes less, and from each 
 of these work out the observation for time. From the two re- 
 sulting longitudes and the latitude of each, plot the positions 
 on the chart and connect them by a straight line; we shall 
 then have a line on which the ship is somewhere. 
 
 If this line runs parallel to the coast, its distance is approxi- 
 mately known, and the bearing of some known point on shore 
 or a cast of the lead will give the position on the line. If the 
 line on the chart be extended till it meets a point of land, it 
 shows the bearing of that point. Although the exact distance 
 of this point is unknown, yet we have only to sail on this line 
 till the point is reached. Thus it is seen how with one obser- 
 vation the ship may be kept out of the danger whose bearing 
 or distance is not exactly known. 
 
A SUMMER. 65 
 
 If, after the sun has changed its bearing not less than three 
 points, but the nearer to eight points the better, we should 
 take another observation, it will give, by working in the same 
 manner, a second line of position, which must cross the first 
 one at some point, as they are each at right angles to the sun 
 at the moment of observation. If the ship has not changed 
 her position between the observations, the point of intersection 
 of the two lines of position will be the position of the ship, 
 But in practice the ship is very seldom stationary between the 
 observations, and to find her position at the moment of the 
 last one, lay off on the chart from the first line of position the 
 course and distance made good between the two observations, 
 and draw a parallel line to this first line of position; then the 
 ship would be somewhere on the parallel line after having 
 sailed a certain distance in a given direction. As the ship is 
 also on the second line of position, its intersection with the 
 parallel line will be the position of the ship at the moment of 
 taking the second observation. 
 
 If the two lines of position do not intersect, the latitudes 
 used were not far enough apart, and the lines must be pro- 
 longed till they do meet. 
 
 EXAMPLES. 
 
 On Nov. 9, 1889, in the forenoon, in latitude 34 40' N. by 
 dead-reckoning, observed the altitude of the sun's lower limb 
 22 29' 20"; watch time of observation 8 h 51 m 57 s A.M., slow 
 of chronometer time 4 h 54 m 15 s ; chronometer correction 2 m 
 12 8 ; height of the eye 17 feet; index correction -\- 2 45'. Find 
 the line of position. Assume the latitudes 34 10' and 35 10' 
 N. 
 
 PREPARATION OF DATA. 
 
 W. Time 8" 51 m 57 s A.M. Obs. Alt. 22 29' 20" 
 
 C. W. 4 54 15 S. D. -f 16 00 
 
 I. C. +2 45 
 
 C. Time 1 46 12 P.M. Ref. 2 20 
 C. Corr. - 2 12 Dip 4 02 
 
 Par. -f 8 
 Gr. M.T.I 44 00 P.M. True Alt. 22 41 51 
 
 Dec. 17 00' 00" S. Diff. 1 hr. 43" 
 
 Corr. -f 1 13 G. M. T. 1.7 
 
56 SIMPLE ELEMENTS OF NAVIGATION. 
 
 True Dec. 17 01 13 S. Corr. 73". 1 
 
 90 00 00 or 1' 13" 
 
 Pol. Dist. 107 01 13 
 
 SOLUTION. 
 
 Alt. 22 41' 51" 
 
 Lat. 34 10 00 sec 0.08228 
 
 Pol. Dist. 107 01 13 cosec 0.01945 
 
 Sum 163 53 04 
 
 Half Sum 81 56 32 cos 9.14669 
 
 Alt. 22 41 51 sin 9.93417 
 
 Rem. 59 14 41 
 
 2)19.18259 
 
 sin 9.59129 
 Alt. 22 41' 51" 
 
 Lat. 35 10 00 sec 0.08752 
 
 P. D. 107 01 13 cosec 0.01945 
 
 Sum 164 53 04 
 
 Half Sum 82 26 32 cos 9.11901 
 
 Alt. 22 41 51 
 
 Rem. 59 44 41 sin 9.93641 
 
 2)19.16239 
 
 sin 9.58119 
 
 L. A. T. 8 h 56 16 8 L. A. T. 9 h 00 43 8 
 
 Eq. T. - 16 01 Eq. T. - 16 01 
 
 L. M. T. 8 40 15 A.M. L. M. T. 8 44 42 A.M. 
 
 G. M. T. 1 44 00 P.M. G. M. T. 1 44 00 P.M. 
 
 Diff. T. 5 03 45 Diff. T. 4 59 18 
 
 or or 
 
 Longitude 75 56' 15" W. Longitude 74 49' 30" W. 
 
 Plot these two positions on the chart and connect them by 
 a straight line which gives a line of position AA, and if the 
 
A SUMNER. 
 
 57 
 
 observation was good and the chronometer right, the ship is 
 on this line somewhere. Although the exact position on the 
 line is not known, its direction affords an accurate knowledge 
 of the least possible distance the ship can be from the point of 
 dan tier P. 
 
 10 
 
 ?0 E 
 
 20 
 
 10 
 
 75 
 
 SO 
 
 I i i i i i I i i i i i i i i i i | | | M I I I I I ii I I I I I I I I I I I II I I II II TT~ 
 
 40 
 
 2G 
 
 10 
 
 35 
 
 > 
 
 ^0 
 
 10 
 
 35 
 
 50 
 
 40 
 
 50 
 
 40 
 
 30 
 
 40 
 
 40 
 
 After determining the line of position by the forenoon ob- 
 servation, the ship was headed due north, but at noon a merid- 
 ianaltitude for latitude could not be got, and the latitude by 
 dead-reckoning being too uncertain, another observation was 
 taken about 4 P.M., the ship having made good 20 miles in the 
 interval. The observed altitude of the sun's lower limb was 
 17 44' 10"; watch time of observation 4 !l 04 m 53 8 P.M., slow of 
 
58 SIMPLE ELEMENTS OF NAVIGATION. 
 
 chronometer time 4 h 12 in 20 s ; chronometer correction 2 m 12 s ; 
 height of the eye 17 feet; index correction -f- 2' 45". Find 
 the second line of position and the position of the ship. The 
 latitude by dead-reckoning being 35 N, ( assume the latitudes 
 34 30' and 35 30' N. 
 
 PREPARATION OF DATA. 
 
 W. Time 4 h 04 m 53 s Obs. Alt. 17 44' 10" 
 
 C. W. 4 12 20 S. D. + 16 00 
 
 I. C. + 2 45 
 
 C. Time 8 17 13 P.M. Ref. - 3 01 
 
 C. Corr. - 2 12 Dip - 4 02 
 
 Par. -f -8 
 
 Gr.M. T. 8 15 01 P.M. 
 
 Tr. Alt. 17 56 00 
 
 Dec. 17 00' 00" S. Diff. 1 hr. 43" 
 
 Corr. + 6 54 G. M. T. 8 25 
 
 True Dec. 17 06 54 S. Corr. 354". 75 
 
 90 00 00 +6' 54" 
 
 Pol. Dist. 107 06 54 
 
 SOLUTION. 
 
 Alt. 17 56' 00" 
 
 Lat, 34 30 00 sec 0.08401 
 
 P. D. 107 06 54 cosec 0.01968 
 
 Sum 159 32 54 
 
 Half Sum 79 46 27 cos 9.24927 
 
 Alt. 17 56 00 
 
 Rem. 61 50 27 sin 9.94529 
 
 2)19.29825 
 
 sin 9.64912 
 
 Alt. 17 56' 00" 
 
 Lat. 35 30 00 sec 0.08931 
 
 P. D. 107 06 54 cosec 0.01968 
 
 Sum 160 32 54 
 
A SUMKER. 59 
 
 Half Sum 80 16 27 cos 9.22737 
 
 Alt. 17 56 00 
 
 Rem. 62 20 27 sin 9.94730 
 
 2)19.28366 
 
 sin 9.64183 
 
 L. A. T. 3 h 31 m 47 s L. A. T. 3" 28 OO 8 
 
 Eq. T. - 16 01 Eq. T. - 16 01 
 
 L. M. 
 G.M. 
 
 T. 3 
 T. 8 
 
 15 
 15 
 
 46 P. 
 01 P. 
 
 M. 
 M. 
 
 L. 
 G. 
 
 M. 
 M. 
 
 T. 
 T. 
 
 3 
 
 8 
 
 11 
 15 
 
 59 
 
 01 
 
 P.M. 
 P.M. 
 
 Diff. T. 4 59 15 Diff. T. 5 03 02 
 
 or or 
 
 Longitude 74 48' 45" W. Longitude 75 45' 30" W. 
 
 From any point on the line of position AA, set off the true 
 course north, and the distance 20 miles made good in the in- 
 terval, and through the spot draw the parallel line BB. Then 
 plot the two positions by the P.M. observation on the chart, 
 and connect them by a straight line which will give a second 
 line of position CO. The point D where it cuts the parallel 
 line BB will be the position of the ship at the moment of the 
 second observation. 
 
 Had there been no other line of position, CG prolonged 
 would give the bearing of the point of land or danger P and 
 though its distance would not be accurately known, the 
 soundings might give it : hence the danger could be avoided 
 by shaping a course in a direction away from the line of posi- 
 tion. 
 
 Should it be intended to dodge the point of laud and make a 
 port E on the other side, draw a parallel line O'C' to CG 
 through E, and with the dividers measure the shortest dis- 
 tance bb between OG and C' C' ; run that distance on a course 
 perpendicular to CG ; then by changing the course in the di- 
 rection of C'C' the vessel will make the port bright ahead. 
 
 Had it been possible to obtain a meridian altitude for lati- 
 tude, we could have laid off from the first line of position the 
 course and distance made good from the time of observa- 
 tion to noon, and then drawn a parallel to AA. The spot where 
 
60 SIMPLE ELEMENTS OF NAVIGATION. 
 
 the noon latitude cut the parallel would have been the position 
 of the ship at noon. 
 
 It will be seen by an inspection of Table V that the cosine of 
 90 degrees and the sine of zero degrees are indeterminate; 
 hence the nearer the half sum approaches 90 degrees or the 
 remainder zero, the more indeterminate or uncertain the lon- 
 gitude obtained will be. 
 
 This will occur when the sun is near the meridian. Should 
 the half sum exceed 180 degrees, or be less than the latitude, 
 the assumed latitudes will be beyond the circle of equal alti- 
 tudes, and other latitudes must be taken nearer the one that 
 will give a resulting longitude! 
 
 CHAPTER VIII. 
 ERROR OF THE COMPASS. 
 
 THE error to which the compass is constantly subjected, 
 being compounded of variation and deviation, must neces- 
 sarily be an ever-changing quantity. In some localities the 
 variation is nearly stationary, but in others there is an annual 
 change more than likely not corrected on the chart, and there 
 are parts of the world where a trifling change in the position 
 of the ship means a comparatively large change in the amount 
 of the variation. The deviation table, as constructed in port, 
 is liable to many changes after the vessel goes to sea. It is 
 not uncommon, after a straight run for several days, to find 
 the deviation change fully half a degree for every degree of 
 alteration in the compass course, and in some instances the 
 compass will jump a point or two without an alteration of the 
 ship's head. This is due to a change of heel, loose iron placed 
 near the compass, boat davits turned in that were before 
 swung out, or the many causes mentioned in the first chapter. 
 From this it will be seen nothing but constant watchfulness 
 of the behavior of the compass can ensure safety; to this end 
 the error of the compass is frequently determined. 
 
 The compass bearing of the sun is taken and the true bear- 
 ing for the same instant is calculated, the difference between 
 
ERROR OF THE COMPASS. Gl 
 
 the two being the error, and is marked E. or W. according as 
 the compass bearing falls to the left or right of the true bear- 
 
 ing. 
 
 Should the error be found to change much, it would be ad- 
 visable to head the vessel so as to get the error on every few 
 points in that half of the compass most likely to be used dur- 
 ing the next few days, and especially so if approaching land. 
 
 There are three ways of finding the true bearing of the sun 
 at sea : by lines of position, by an amplitude, and by an observed 
 altitude. 
 
 By Line of Position. The most simple method of deter- 
 mining the true bearing of the sun is by the lines of position 
 plotted on the chart and sufficiently accurate for all purposes 
 in navigation. 
 
 It has been said the sun always bears at right angles to the 
 line of position : so at any point on the line of position draw a 
 perpendicular and refer it to the true compass on the chart. 
 The direction of this perpendicular is the true bearing of the 
 sun; comparing this with the compass bearing at the time of 
 taking the observation from which the line of position was de- 
 rived, will give the error. 
 
 By an Amplitude. When the sun is rising or setting, its 
 distance from the E. or W. points of the horizon is called its 
 amplitude. 
 
 As refraction causes the sun to appear higher than it actu- 
 ally is, and its effect is greatest when the sun is in the horizon, 
 being about equal to the apparent diameter of the sun, the 
 bearing should not be taken for an amplitude when the cen- 
 tre appears in the horizon, but when it is a little more than its 
 diameter plus the dip above the horizon. 
 
 Take from Table III the declination of the sun for the 
 Greenwich date and correct it for the Greenwich time. Add 
 together the sine of the declination and the secant of the lati- 
 tude; from Table V the sum (rejecting 10 in the index) is the 
 sine of the true amplitude, marked E. at rising and W. at set- 
 ting, and N. or S. as the declination is N. or S. Should the 
 compass amplitude and the true be of the same name, their 
 difference will be the error; if of different names, their sum 
 will be the error for the course the ship is heading. If this 
 error be to the right of the variation on the chart, the deviation 
 will be easterly; if to the left, westerly. 
 
62 SIMPLE ELEMENTS OF NAVIGATION. 
 
 EXAMPLE. 
 
 At sea Nov. 27, 1887, in latitude 40 27' N. , longitude 20 07' 
 W., about 4 h 43 m P.M., the observed bearing of the sun at set- 
 ting was W. 17 S. 
 
 L. M. T. 4" 43 m P.M. Dec. 21 08' S. 
 
 Long. 1 20 W. Corr. - 2.42 
 
 G. M. T. 6 03 P.M. True Dec. 21 05 18 S. sin 9.55597 
 
 Latitude40 27 N. sec 0.11863 
 
 sin 9.67460 
 
 Diff. 1 hr. 27" True amplitude W. 28 13 S. 
 
 G. M. T. 6 h Compass " W. 17 S. 
 
 Corr. - 162 or 2' 42" 
 
 Error 11 13 W. 
 
 If the variation by chart was 10 W. the deviation would be 
 1 13' W. for the point of the ship's head. 
 
 By an Observed Altitude. At the time of taking the al- 
 titude for time take also the bearing of the sun by compass, 
 and note the heading of the ship; also the heel, and whether to 
 port or starboard. 
 
 The preparation of the data in this problem is the same as 
 that, for finding the time by observation, and it is usual to 
 combine the two. To find the true bearing, add together the 
 true altitude, latitude, and the polar distance; take the differ- 
 ence between the half sum and the polar distance, and note 
 the remainder. Then add together the secant of the altitude, 
 secant of the latitude (rejecting 10 in each index), cosine of 
 the half sum, and the cosine of the remainder; half the sum 
 of the four quantities will be the cosine of half the true bear- 
 ing, which, being doubled, will give the true bearing reckoned 
 from the north in north latitude and the south in south lati- 
 tude. 
 
 EXAMPLES. 
 
 We will take the first example used in finding the time, 
 and combine the two problems to illustrate the form used in 
 practice. 
 
 PREPARATION OF DATA. 
 
 W. Time 8 h 51 m 57 s A.M. Obs Alt. 22 29' 20" 
 
 C. - - W. 4 54 15 S. D. + 16 00 
 
 I. C. -f- 2 45. 
 
ERROR OF THE COMPASS. 63 
 
 C. Time 1 46 12 Ref. - 2 20 
 
 C. Corr. - 2 12 Dip 4 02 
 
 Par. + 8 
 
 Gr. M. T. 1 44 00 P.M. True Alt. 22 41 51 
 
 Dec. 17 00' 00" S. Diff. 1 hr. 43" 
 Corr. -f 1 13 G. M. T. 1.7 
 
 True Dec. 17 01 13 S. Corr. 731 
 90 00 00 or -f 1' 13" 
 
 Pol. Dis. 107 01 13 
 
 SOLUTION. 
 
 Alt. 22 41 '51" sec 0.03500 
 
 Lat. 35 00 00 sec 0.08664 sec 0.08664 
 
 Pol. Dis. 107 01 13 cosec 0.01945 
 
 Sum 164 43 04 
 
 Half Sum 82 21 32 cos 9.12374 cos 9.12374 
 1st Rem. 59 39 41 sin 9.93604 
 
 2d Rem. 24 39 41 cos 9.95846 
 
 2)19.16587 2(19.20384 
 
 sin 9.58293 cos 9.60192 
 
 Local App. Time 8 h 59 m 58* A.M. Half of true bearing 66 26' 
 
 2 
 
 True bearing N. 132 52' E. 
 
 Local App. Time 8 h 59 ra 58' A.M. True bearing N. 132 52' E. 
 Equation of Time -16 01 Com. bearing N. 130 30 E. 
 
 Local M. Time 8 43 57 A.M. Com. Error 2 22 E. 
 
 Gr. M. T. 1 44 00 P.M. 
 
 Diff. Time 5 00 03 
 
 or 
 Longitude 75 00' 45" W. 
 
 It will be seen from the above example that as it requires 
 very little more work in the solution of the problem for time 
 to obtain the compass error, it is always best to take the 
 bearing of the sun by compass at the same instant the altitude 
 is taken for time and combine the two, as shown in examples. 
 
 On April 3, 1888, in the forenoon, in latitude 29 42' 30" S. 
 and east longitude, the observed altitude of the sun's lower 
 
64: 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 limb was 22 41' 30"; bearing per compass S. 89 E.; index 
 correction 2' 30"; height of the eye 24 feet. Watch time of 
 observation 8 h 06 m 20 s . 5; slow of chronometer time 8 h 08 m 14'; 
 chronometer correction -- 6 m 19 s . Find the longitude and 
 error of the compass. 
 
 PREPARATION OP DATA. 
 
 W. Time 8 h 06 m 20 S .5 A.M. Obs. Alt. 22 41' 30" 
 C. - - W. 8 08 14 S. D. + 16 00 
 
 I. C. 2 30 
 
 Ref. 2 19 
 
 Dip 4 48 
 
 Par. -f 08 
 
 C. Time 4 14 34.5A.M. 
 C. Corr. - 6 19 
 
 G.M.T.2d 16 08 15.5 
 or 
 
 3d -7 h .86 
 
 Dec. 5 35' 00" K 
 Corr. -7 28 
 
 True Alt. 22 48 01 
 
 True Dec. 5 27 32 K. 
 90 00 00 
 
 Hr. Diff. 
 G. M. T. 
 
 Corr. 
 
 Pol. Dist. 95 27 32 
 
 Alt. 22 48' 01' 
 Lat. 29 42 30 
 Pol. Dist. 95 27 32 
 
 Sum 147 58 03 
 
 Half Sum 73 59 01 
 IstRem. 51 11 00 
 2d Rem. 21 28 31 
 
 SOLUTION. 
 
 sec 0.06120 
 cosec 0.00198 
 
 cos 9.44077 
 sin 9.89162 
 
 57" 
 -7.86 
 
 448.02 
 or 
 
 - 7' 28" 
 
 sec 0.03533 
 sec 0.06120 
 
 2)19.39557 
 sin 9.69778 
 
 cos 9.44077 
 
 cos 9.96875 
 
 2)19,50605 
 
 cos 9.75302 
 
 Local App. Time 8" 00 m 43 s A.M. 
 Equation Time -f- 3 15 
 
 Local M. Time 8 03 58 A.M. 
 Gr. M. Time 4 08 15 5 A.M. 
 
 Diff. Time 3 55 42.5 
 Longitude 58^ 55' 37" E. 
 
CAUSES THAT AFFECT XAVIGATIOX AT SEA. 05 
 
 Eq. Time Table, IV.,+3-" 10" Half of true bearing 55 30' 37" 
 Daily Variation 18" 2 
 
 Correction, Table IV a, 5 
 
 True bearing S. Ill 01 14 E. 
 Equation of Time -f- 3 15 Compass bearing S. 89 E. 
 
 Compass error 23 01 14 AV. 
 
 CHAPTER IX. 
 
 CAUSES THAT AFFECT NAVIGATION AT SEA. 
 
 Clouds. The general appearance of the clouds tends greatly 
 to assist the navigator in foretelling the state of the weather ; 
 and according to their form they are divided into three classes, 
 called cirrus, cumulus, and stratus. There are four other forms 
 in which these are blended, known as cirro-cumulus, cirro- 
 stratus, cumulO'Stratus, and nimbus. Though it is easy to 
 distinguish the first three classes when their forms are well 
 characterized, it is often very difficult to accurately designate 
 the blended forms, as some observers will call cirro-stratus 
 what others would designate curnulo-stratus. 
 
 CIRRUS. 
 
 The Cirrus are composed of thin filaments, resembling a 
 brush, and at times woolly hair or slender network. These 
 
66 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 are the most elevated clouds, and their appearance often pre- 
 cedes a change of weather. In summer they announce rain ; 
 in winter, frost or snow. 
 
 The Cumulus appear in the form of a hemisphere resting 
 on a horizontal base ; sometimes these hemispheres rest one 
 
 CUMULUS. 
 
 upon the other, and form those great clouds which accumu- 
 late on the horizon, and look like distant mountains covered 
 with snow. They predict warm southerly winds. 
 The Stratus are the horizontal bands, which form fre- 
 
 STRATUS. 
 
 quently at sunset, and, combining with the other two forms, 
 indicate what might be expected in the state of the weather 
 moisture. 
 
CAUSES THAT AFFECT NAVIGATION AT SEA. 67 
 
 Cirro-cumulus appear as a number of little round, fleecy 
 clouds, and foretell beat. 
 
 CIRRO-CUMULUS. 
 
 Cirro-stratus are composed of little bauds of filaments, 
 more compacted than those of the cirrus, and not so high, of 
 a grayish tint, and hardly ever fail to form rain. 
 
 CIRRO-STRATUS. 
 
 Ciimulo-stratus are formed from the cumulus clouds be- 
 coming more dense, or heaped together. If they appear in 
 the morning, rainfall may occur, but will cease near noon as 
 a rule; and when they form about noon, rain may follow, but 
 will cease towards evening. 
 
68 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 CUMULO- STRATUS. 
 
 Nimbus are the dense black clouds \vit-h gray-fringed 
 edges, and are variously composed of the other forms, mainly 
 
 NIMBUS. 
 
 of the compacted cumulus, and are always accompanied by 
 rain, wind, or storms. 
 
 Storms and Currents are most uncertain causes that en- 
 danger the position of the ship at sea, and should, be carefully 
 guarded against. 
 
 Storms. Wind is air in motion caused by difference of 
 temperature, and the direction is designated by the point of 
 the compass from which it blows. When this difference of 
 temperature is great the motion of the wind is exceedingly 
 heightened, and in some cases in the region of a mountainous 
 
CAUSES THAT AiTKCT NAVIGATION AT SEA. G'.> 
 
 coast it rushes suddenly down with almost irresistible force. 
 The wind blowing in great violence in one direction is called 
 a straight-line gale. The most severe gales met with, 
 however, at sea, are commonly known as revolving' storms, 
 variously called hurricanes, typhoons, and cyclones, according 
 to the locality in which they blow. These revolving storms 
 have two mofious one in a circle like a whirlwind, and the 
 other a forward movement on a curved track. Knowing 
 these two movements, the problem then to be considered in re- 
 lation to the safety of the ship is . 1st. Ascertain the charac- 
 ter of the storm and locate its centre. 2d. Determine 
 which half of the storm -centre the ship is in. 3d. The di- 
 rection in which the storm is moving. 4th. What to do with 
 the ship to escape the centre, or take advantage of the fail- 
 winds. 
 
 The character of the storm is indicated by the weight of 
 the atmosphere, and as heat and moisture are the principal 
 causes of the variation in the weight of the atmosphere, it 
 follows that the temperature and degree of moisture should be 
 known at the time of observation. The barometer is an in- 
 strument for measuring the weight, the thermometer gives 
 the temperature, and the hygrometer the degree of moisture 
 in the air. 
 
 The Barometer. There are various forms of the barome- 
 ter, but the one best suited for observations is the mercurial, 
 consisting of a brass tube about 33 inches in length, the ex- 
 tremity of which is inserted into a small cistern. In order to 
 maintain the mercury in the cistern at the same level, the cis- 
 tern is constructed partly of leather. By means of a screw at 
 the bottom, the surface of the mercury in the cistern may be 
 so adjusted as to have it always at the place from which the 
 scale commences. The upper part of the tube is cut through 
 so as to exaose the column of mercury. Attached to one side 
 of this opening is a scale graduated in inches and parts ; and 
 inside this slides a small tube carrying a vernier, which is 
 moved up or down by a small thumb-screw. A thermometer 
 is attached to the barometer to indicate the temperature of 
 the mercury in the cistern. When suspended for use the 
 barometer should hang freely in a vertical position, exposed 
 in the shade where no local heat or cold is liable to affect it. 
 
SIMPLE ELEMENTS OF 
 
 [NORTHERN HEMISPHERE] 
 
 [SOUTHERN HEMISPHERE] 
 
 THE Two MOTIONS OP A CYCLONE. 
 
CAUSES THAT AFFECT NAVIGATION AT SKA. 71 
 
 Whenever opportunity offers, the barometer should be com- 
 pared \vith a standard, and the corrections noted. 
 
 A want of absolute information as to the mean level of the 
 mercury will not prevent advantage being taken of barometri- 
 cal observations in practical navigation ; yet it is best to 
 know the mean level at the position of the observer. 
 Monthly charts issued by the Hydrographic Office of the 
 Xavy Department, a branch office of which is located at all 
 large maritime cities in the United States, gives the mean 
 level of the barometer at a great many positions in the Atlan- 
 tic and a few in the Pacific Ocean. In the absence of these 
 charts, the following table, according to ]\Iaury, is most re- 
 liable for each parallel of latitude in the North Atlantic, from 
 the equator to seventy degrees North. 
 
 North 
 
 Height of 
 
 North 
 
 Height of 
 
 North 
 
 Height of 
 
 latitudes. 
 
 barometer. 
 
 latitudes. 
 
 barometer. 
 
 latitudes. 
 
 barometer. 
 
 
 Inches. 
 
 o 
 
 Inches. 
 
 
 
 Inches. 
 
 Equator. 
 
 29.918 
 
 25 
 
 30.119 
 
 50 
 
 30.001 
 
 5 
 
 29.910 
 
 30 
 
 30.182 
 
 55 
 
 29.989 
 
 10 
 
 29.941 
 
 35 
 
 30.162 
 
 60 
 
 29.878 
 
 15 
 
 29.989 
 
 40 
 
 30.111 
 
 65 
 
 29.839 
 
 20 
 
 30.052 
 
 45 
 
 30.052 
 
 70 
 
 29.800 
 
 The Thermometer is an instrument founded on the prin- 
 ciple that most bodies expand by heat and contract by cold. 
 Its construction differs from the barometer in having the tube 
 closed at both ends. There are three descriptions of ther- 
 mometers in common use, constructed on the same principle, 
 but differing in the division of their respective scales. 
 Fahrenheit's thermometer is the one generally used in 
 America, and is marked from melting ice at 82 degrees to boil- 
 ing water at 212 degrees, the interval being divided into 180 
 equal parts. The same graduation is extended downwards to 
 zero and below. The bulb should be kept dry, and exposed 
 in the shade to the open air. 
 
 The Hygrometer is simply a thermometer with the bulb 
 wrapped in a little muslin bag, or a kind of wick reaching 
 from it into a small cistern of water from one to three inches 
 aw r ay. The difference in the reading of the wet and dry 
 thermometers gives the evaporating power of the air, upon 
 
72 SIMPLE ELEMENTS OF NAVIGATION. 
 
 which depends the amount of moisture present. The ther- 
 mometer and hygrometer should be enclosed in a case having 
 a lattice front. 
 
 Approach of A Storm. The indications of the approach 
 of a storm are : a restless state of the barometer ; a hard gray 
 sky or one having a greenish tint ; a blood-red or bright-yellow 
 sunset; a heavy swell, and a thick, lurid appearance of the sky, 
 in connection with a general threatening condition of the 
 weather. No great storm ever sets in with a steady rising 
 barometer, and it will blow a storm whenever the barometer 
 rises or falls suddenly. The barometer will not rise much 
 in front of a slowly moving storm, but the banking up of air 
 on the border in front of a rapidly moving storm will often 
 cause it to rise suddenly. A very rapid fall of the barometer 
 after fairly entering the storm may be regarded as evidence 
 of a very violent storm of small diameter, while a gradual fall 
 would indicate the contrary. In the North Atlantic, any- 
 where between the equator and 30 degrees north latitude, 
 when the barometer is observed to fall at the rate of .02 of an 
 inch per hour and to reach a point from .2 to .3 below the 
 mean level, precautions should betaken against the approach- 
 ing storm. Gales will last a longer or shorter time, and are fore- 
 told twelve hours at least and sometimes twenty-four hours in 
 advance, according as the rise or fall of the barometer is more 
 or less rapid. A northerly wind will produce a high or rising 
 barometer, and a southerly wind a low or falling barometer ; 
 hence, the barometer being very high, with northerly winds, a 
 sudden fall accompanied by rise of the thermometer indicates 
 that the wind will back with great force to the southward. 
 Should the barometer be very low, a sudden rise with a fall- 
 ing thermometer predicts a change of wind from the SW. to 
 the NW. and a northerly gale. In winter a sudden fall of 
 the barometer and the thermometer towards the freezing- 
 point indicates snow. Off the coast of the United States the 
 region traversed by the Gulf Stream is remarkable for its 
 high temperature and for squally and uncertain weather, 
 especially in winter. When the winds from W. to SW. blow 
 a gale the heat of the atmosphere reaches its extreme, while 
 beyond the northern and eastern limits of the storm is ex- 
 tremely cold. Should a storm be blowing fiom the NE 
 
CAUSES THAT AFFECT NAVIGATION" AT SKA. 73 
 
 and the barometer begin to fall with a rise of the thermome- 
 ter, the wind will haul to the K. ami SK.; but should the 
 barometer suddenly rise more, with a falling thermometer, the 
 wind is liable to shift suddenly and with great foree to the 
 NW., and come out clear and cold. 
 
 To Locale the Centre. When facing the wind the centre 
 of the storm will bear eight points to the right in the 
 northern or eight points to the left in the southern latitudes; 
 because in the northern portion of the globe the wind within 
 the storm revolves from the right to left or left-handed, and in 
 the southern part the wind revolves from the left to right or 
 right-handed. Hence, when north of the equator, at the west 
 point of the storm-circle the wind is north and the centre bears 
 east ; and south of the equator, at the west point of the storm- 
 centre the wind is south and the centre bears east. If the 
 barometer falls at the rate of .03 of an inch per hour and gets 
 from .4 to .5 below the mean level, the indication is that the 
 centre of the storm is about two hundred miles off ; with an 
 hourly fall of .05 to a point .78 of an inch below the mean 
 level, the vessel may be considered about one hundred miles 
 off. With a fall of .09 to 1.5 per hour below the mean level, 
 the vessel will be very close to the centre, if not in it. When 
 the barometer begins to rise again, at first very quickly and 
 afterward with a more moderate movement, the centre of the 
 storm will be travelling away from the ship, and the danger is 
 over. 
 
 Semicircles of the Storm. The storm-circle is divided 
 into two equal parts by the storm track, and that portion on 
 the right side looking in the direction of the track is termed 
 the right semicircle, while that portion to the left is called 
 the left semicircle. 
 
 In the right semicircle the change of wind will be to the 
 right, and in the left semicircle the change will be to tie 
 left , therefore the first change of wind will indicate which 
 half of the storm-circle the ship is in. Should the vessel be 
 directly on the track of the storm or near it on either side 
 there would be no perceptible change of wind, but a falling 
 barometer would indicate the vessel was in front and a rising 
 barometer in rear of the storm. 
 
 Direction of Storm Track. The approximate direction 
 in which the storm is moving may be found by plotting on 
 
74 SIMPLE ELEMENTS OF NAVIGATION. 
 
 the chart the position of the ship and centre of the storm on 
 two or more bearings as the wind changes, using the distance 
 of the centre by barometer, and keeping an accurate account 
 of the distance made by the ship in the interval. 
 
 To Avoid the Centre. Having ascertained the above 
 data, it becomes necessary now to determine what to do with 
 the ship to escape the centre or place the vessel in a position 
 to incur the minimum amount of danger or take advantage of 
 the fair winds as the case may be. 
 
 The rules to be observed are given in the following storm- 
 cards. 
 
 EAST WIND CH.TO SD.H.STR.TACK ' 
 
 : 
 
 CH.TO ND.RUN WNW. 
 
 PR H.P.TACK 
 
 STORM CARD 
 NORTHERN HEMISPHERE 
 
 ABBREVIATIONS 
 CH.: 
 
 The courses here given are for the wind 2 points 
 on the starboard quarter, but if sea and wind 
 permit bring the wind broad on the quarter. 
 If in either of these positions there be danger 
 of broaching-to, run before the wind until 
 more moderate, and then bring wind on 
 starboard quarter. A ship hove-to hav- 
 ing the wind steady is on the storm- 
 track. Run before the wind ; 
 note the course and 
 keep it. 
 
 CH.TO SD.RUN ESt. 
 
 OR H.P.TACK 
 
 Currents. A current is a progressive motion of the water, 
 occasioned by prevailing winds and differences of temperature 
 and density, and causes all floating bodies to move in the di- 
 rection of its set. The set is that point of the compass towards 
 
CAl SKS THAT AI'FK<T NAVIGATION AT SKA. 7 ,"> 
 
 which the waters run, and its drift is the rate it runs per hour. 
 The effect of a constant or prevalent wind produces what is 
 called a drift cm-rent, is generally shallow, ancj hardly ever 
 exceeds half a mile per hour with a good breeze. The accu- 
 mulation of the drift into a collective mass by the intervention 
 of some obstacle produces what is called a stream current. 
 It takes the direction imposed by the obstacle, and in many 
 cases is a deep, powerful stream, not unlike a river in the ocean. 
 These two forms of current cause a constant circulation to be 
 going on in the waters of the globe, and are usually marked on 
 
 WEST WIND CH.TOSD 
 
 CH.TC NO.RL 
 
 OR H.STR.J 
 
 STORM 
 SOUTHERN HEMISPHERE 
 
 ABBREVIATIONS 
 
 D.= NORTH WARD 
 ED. EASTWARD. 
 
 .= SOUTHWARD. 
 WD. = WESTWARD. 
 
 STARBOARD 
 
 REMARKS. 
 
 The courses here given are for the wind 2 points 
 
 on port quarter, but if sea and wind permit bring 
 
 the wind broad on the quarter. If in either of 
 
 these positions there be danger of broaching- 
 
 to, run before the wind until more moderate, 
 
 and then bring the wind on the port 
 
 quarter. A ship hove-to having the 
 
 wind steady is on the storm-track. 
 
 Run before the wind ; note the 
 
 course and keep it. 
 
 EAST WIND CH.TO NO.H.P,;TCK. 
 
 CH.TO.SD.RUN WSW. 
 OR H.STR.TACK. 
 
 the charts with the set and drift given. As they are liable to 
 vary in both speed and direction and temporary eddies not 
 marked on the chart, their existence and influence may be 
 found by a comparison between the position by dead-reckon- 
 
76 SIMPLE ELEMENTS OF NAVIGATION. 
 
 ing and that by observation, corroborated by a change in the 
 temperature or density of the water. 
 
 Current Sailing". With the set and drift of a current known, 
 it can be allowed for in the following manner : Draw a line 
 
 AB on the chart in the direction of 
 the set, and from the position of the 
 ship A lay off on this line AB equal 
 to the hourly drift, taking the meas- 
 urement from any convenient scale, 
 say an inch to the mile. With the 
 
 A same scale at A erect a perpendicular 
 
 to AB, and lay off on this perpendic- 
 ular AC equal to the vessel's speed per hour ; draw CD paral- 
 lel to AB, and BD parallel to AC. In order then to make 
 good the intended course AD, and keep the objective point P 
 constantly on the same line of bearing, the vessel will have to 
 steer in the direction of A C. The scale on the chart will be 
 found too small to give a working size to the figure ; however, 
 it can be used by multiplying the drift of the current and the 
 rate of the vessel by some convenient number. 
 
 Iceberg's. The currents from the polar regions bring with 
 them great quantities of floating ice, and the presence of these 
 icebergs constitutes a very serious danger to navigation. The 
 latitudes in which these floating islands are to be met with are 
 generally marked on the chart, and when in those regions no 
 precaution should be neglected to discover them before the 
 danger becomes too great. 
 
 A large iceberg will denote its presence, even on the darkest 
 night, by a sort of whiteness or halo known as "ice blink." 
 The echo of a gun or steam-whistle is liable to detect the 
 presence of an iceberg ; and should one be to windward, the 
 temperature of the air would indicate its proximity. The 
 temperature of the water cannot be relied upon as a means of 
 detecting the presence of ice. 
 
 Should a berg be discovered, always endeavor to pass on the 
 weather side on account of the loose pieces drifting more 
 rapidly. 
 
AIDS TO NAVIGATION. 77 
 
 CHAPTER X. 
 
 AIDS TO NAVIGATION. 
 
 WHEN the vesse 1 on lier course leaves the deep water and 
 comes upon soundings, the fact is at oiice known by a change 
 in the temperature of the water and the blue appearance of 
 the sea changing to a decided green color. The evidence of 
 approaching shore is seen in the presence of birds, floating 
 objects, nature of the swell of the sea, and the sense of smell. 
 The land is rirst seen in an outline resembling a thick cloud, 
 but which can hardly be mistaken. 
 
 In making the proper point or working the way into port 
 assistance is afforded in the nature of the shore, complexion of 
 the land, and configuration of the coast-lines, as well as any 
 isolated tree, church spire, windmill or prominent mountain. 
 
 In addition to these, all maritime countries have established 
 a well-concerted series of landmarks as aids to navigation, 
 such as light-houses, light-vessels, buoys, beacons, and fog- 
 signals. 
 
 Light-houses. The light-house is not only a house or tower 
 especially adapted for showing a light at night, but serves as 
 a landmark by day. They are sufficiently diversified by 
 different characteristics to properly define their respective 
 positions. 
 
 As we approach the shore from seaward the most salient 
 points of the coast-line are marked by first-class light-houses 
 having the greatest power and range. They are planted so 
 close to each other as to prevent the vessel from getting within 
 any outlying danger, except in a dense fog, without catching 
 sight of one or more of them. They give warning of the 
 position of the vessel, and enable au} r errors to be corrected 
 before the ship shall have approached too near the coast for 
 safety. 
 
 The secondary capes, reefs, and sand-banks, to which it is 
 prudent to give a good offing, are marked by second- and third 
 class light houses, and the range is regulated by the distance 
 at which it is necessary to see them. During thick weather 
 
78 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
AIDS TO NAVIGATION. 79 
 
 the range of the first-class lights is greatly diminished in 
 power and extent when those of the second class assist to fill 
 up the vacancy thus caused in the primary illumination. 
 Lights of these classes are also placed to mark the mouths of 
 rivers and the entrance to ports only accessible by narrow 
 channels, and to point out the exact course which should be 
 steered. 
 
 Near the port or anchorage a small harbor light is placed 
 upon one or each of the banks, piers, or breakwater as a guide 
 to a good berth. Many of these small lights belonging to 
 tidal harbors are not exhibited until the tide has reached a 
 certain determined height. 
 
 Order of Lights. In the United States the lights are 
 divided into six orders. Lights of the first order are those 
 established to give warning of the approach to land ; those of 
 the second, to mark the secondary points or headlands along 
 the sea coast and the approach to bays and sounds ; third-order, 
 lights are used in bays that are of considerable width and 
 intricacy, and for the coast of lakes ; lights of the fourth, fifth, 
 and sixth orders mark the most prominent points, headlands, 
 or shoals in the long bays, sounds, or obstructions in rivers, 
 and piers or wharves. 
 
 Character of Lights. In addition to the division of lights 
 according to their position for illumination, provision is made 
 for their easy distinction so as to not mislead by a close resem- 
 blance of one to the other. To this end lights are divided 
 into several distinctive characters the fixed, revolving, flash 
 or intermittent, and double light on one or two towers. 
 
 The Fixed Light is one which exhibits a regular and steady 
 appearance, and is not subject to any change. 
 
 The Revolving Light gradually increases to a maximum 
 and diminishes to a minimum until wholly extinguished at 
 equal intervals of half a minute, one, two, or three minutes, and 
 sometimes thrice a minute. It is produced by the revolution 
 of a three- or four-sided frame having large reflectors grouped 
 on each side, with their axes parallel. 
 
 The revolving light is subdivided into other classes, such as 
 revolving white, revolving red and white, revolving red with 
 two whites, or revolving white with two reds, obtained by the 
 revolution of a frame whose sides present red and white lights 
 in succession. 
 
80 SIMPLE ELEMENTS OF NAVIGATION. 
 
 
 LIGHT-HOUSE ON ALLIGATOR REEF, FLORIDA REEFS. 
 
AIDS TO NAVIGATION. 
 
 81 
 
 -- 1^-^^-~~ i--~I__' ^jl^~j=^- ^^^"^:" Jl' ; l~ *- ~ -~" j_- ^ &i~ *~ ""- ~"~" _1T r u -'"_- ^5 -- "' "- = ^-= ^- 
 
SIMPLE ELEMENTS OE NAVIGATION. 
 
 w 
 
 cc 
 cc 
 
 O 
 tf 
 
 13 
 
 
 B 
 H 
 B 
 
 O 
 
 V 
 
 M 
 
AIDS TO NAVIGATION. 83 
 
 The Flash or Intermittent Light is one in which the ray 
 suddenly appears, remains visible for a moment, and afterwards 
 is again suddenly eclipsed for a brief interval. This is due to 
 the perpendicular motion of circular shades in front of the 
 reflector by which the light is alternately revealed and hidden. 
 This light and the revolving light are sometimes combined to 
 form the revolving flash light. 
 
 The Double Lights are seldom used except where a leading 
 line is needed as a guide for taking some narrow channel or 
 avoiding some danger. They are generally exhibited from 
 two towers, one of which is higher than the other, and pro-' 
 duce marked characteristic distinction or serve as a range to 
 avoid danger. In the first case the distance between the lights 
 is such as to prevent the two being blended into or supposed 
 to be one lightt within the limits of their ranges. In the 
 second case they are so arranged they will be seen to separate 
 the moment of departure from the straight range line they are 
 placed to mark. Frequently a very small arc is illuminated 
 by one light which can be seen before encountering danger. 
 
 Colored Lights. Another means of distinguishing the 
 various lights is in their color : some are red, with an intense 
 ruddy-like splendor ; others white, and some blue or green. 
 However, colored lights should be observed with caution, as the 
 use of coloring matter reduces in great proportions the in- 
 tensity of the light ; and the atmospheric conditions sometimes 
 determine the color, which may lead to mistake as to the real 
 color of the light. It has been observed that during foggy 
 weather white lights become of a reddish color or tinge ; green 
 appears to approach in color or become white ; and blue lights 
 are not visible or change to so pale a violet tint as to be mis- 
 taken for white. But if there be two lights of different color, 
 such as red and white, one becomes intensely red and the other 
 a red tinge, both preserving their distinctive character. If 
 green were in place of red, the two lights would appear to be 
 red and white without a marked difference in color. Some 
 heavy fogs, however, allow all the luminous rays to pass 
 through them equally without coloring them, and only have 
 the effect of diminishing their intensity. With equal intensity, 
 the red light will be seen farther than the white light ; but if 
 the two are used, the white light will cease to be visible before 
 the red light. 
 
84 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 The electric light possesses a great distinction of color, but 
 very little superiority in penetrating power in thick weather, 
 and at any time is blinding, or its distance hard to ascertain. 
 
 Range of Lights. The distance at which a light may be 
 seen depends upon its intensity and height above the sea or its 
 luminous and geographical range. The luminous range de- 
 
 CRAIGHILL'S GHA.NXEL RA.NGE LIGHTS. HIGH LIGHT. 
 
 pends upon the state of the atmosphere and the acuteness of 
 the eye of the observer. 
 
 The geographical range depends upon the height above the 
 level of the sea, upon the curvature of that part of the earth's 
 surface at which it is placed, and upon the value of atmos- 
 pheric refraction. 
 
AIDS TO NAVIGATION. 
 
 85 
 
 In the United States the heights of all light-houses are given 
 in the lists and nautical books for mean low-water, together 
 with range corresponding to different heights above the level 
 of the sea both for the focal point and the eye of the observer. 
 In some countries the tables are made out with, reference to 
 the level of the highest water. 
 
 J 
 
 CRAIGHILL'S CHANNEL RANGE LIGHTS. Low LIGHT. 
 
 By a reference to the chart, light list, and sailing directions 
 a minute description and sketch of all light-houses will be 
 found, their position accurately noted, the character and 
 brilliancy of the light, the order or class, bearings on which 
 the light is visible or obscured, height of the centre of the 
 lantern above the high- water level or mean low tide ; height 
 
86 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 also of the building from the base to the vane, and its form, 
 color, and other peculiarities. 
 
 Light-ships. The seas adjacent to the coast are some- 
 times interspersed with extensive shoals and shifting sand- 
 banks, upon which it is impossible to erect light-houses. Nor 
 can those already built upon the mainland be made service- 
 able in directing vessels their way through the narrow chan- 
 nels running in all directions, distant perhaps fifteen or 
 twenty miles off the coast. 
 
 In approaching the sea immediately surrounding these 
 dangers, light-ships or floating lights are used to indicate the 
 exact points to be avoided. They also serve as beacons 
 against variable currents and reefs which are hidden at cer- 
 tain hours by the high tide. 
 
 Each light-ship, like the light-house on shore, is dis- 
 tinguished by its own peculiar aspect, various characteristics, 
 and certain differences in telling not only one from another, 
 but also from any neighboring light-house. 
 
 How appear. When seen at some distance a light-ship 
 closely resembles during the day an ordinary vessel, but upon 
 approaching near a great difference between the two is seen. 
 The short stout masts are without sails, and surmounted by 
 large balls, cages, or other marks. 
 
 LIGHT-SHIP. 
 
AIDS TO tf AVWATtOtf. 87 
 
 In Great Britain the bulls of light-ships are painted red 
 and black. In the United States they are painted such color 
 and in such a way as the Light-house Board may designate, 
 with the name of the station painted on the sides and the 
 number of the vessel on the stern. 
 
 At night these vessels are provided with one or more lights, 
 and are distinguished by their number and position as well 
 as characteristic distinction such as single or double fixed 
 lights, revolving lights with varying intervals of darkness be- 
 tween the beams, or with colored beams alternating with 
 white, or colored beams only. 
 
 When two lights are used, it is usually the custom to place 
 one higher than the other. 
 
 Few instances are on record of a light-ship having broken 
 loose from her moorings. If, however, the ship should be 
 driven from its place by the force of the elements, so that its 
 light may become a source of danger, means are provided for 
 signalling by flags or the firing of a gun. No one except 
 those belonging to the light-ships is ever permitted to live on 
 board or to remain at night, unless necessarily detained by 
 stress of weather, or wrecked persons who may be compelled 
 to take temporary refuge on board. 
 
 Buoys are the next very important marks that contribute 
 greatly as aids to navigation. They are exceedingly numer- 
 ous, and are invaluable as guiding marks by day through nar- 
 row channels and warning marks for isolated dangers. They 
 are not very serviceable at night, being unilluminated ; how- 
 ever, buoys have been lit in many instances by the application 
 of compressed gas confined within the buoy; and it has been 
 proposed to connect them with wires all around the coast, and 
 to light them simultaneously with electricity. 
 
 Distinction. Their chief elements of distinction are the 
 form, size, and color, which may be supplemented by the ad- 
 dition of a shape such as globe, diamond, triangle, etc. 
 mounted on top of the mast fixed in the head of the buoy. 
 
 Names of Buoys. The names of the various forms are so 
 unsettled, that but few persons can accurately state what con- 
 stitutes the characteristic of each. However, the descriptive 
 titles of buoj r s are: the nun, can, conical, convex, spiral, 
 drum, cylinder, spherical, spar, mast, and cask. These terms 
 are found to vary at different places, and are employed to give 
 
SIMPLE ELEMENTS OP NAVIGATION". 
 
 exactly opposite indications ; also, intimations conveyed by 
 colors vary at different places : hence, reference to name or 
 disposition of colors is apt to lead to some confusion. 
 
 In France a uniform system of coloring is used, and on 
 each is painted either the entire or abridged name of tbe rock 
 or bank that it marks ; those belonging to the same channel 
 are numbered serially, commencing to seaward. Those to 
 mark the starboard side are painted red, having a white crown 
 a little below the summit, and bear the even numbers. Those 
 to mark the port side are painted black, and bear odd num- 
 bers. Those which may be left indifferently on either side 
 are painted with horizontal stripes alternately red and black, 
 bear names, but no numbers. The red and black are varied, as 
 circumstances require, by painting in white designs of checks, 
 vertical bands, etc. 
 
 In England the entrances to channels or turning-points are 
 marked by conical buoys with or without staff, and globe or 
 triangle, cage, etc. Single-colored can-buoys, either red or 
 black, mark the starboard side, and buoys of the same shape 
 and color, either checkered or vertical-striped with white, 
 mark the port side. Other distinctions are used, when re- 
 quired, by the employment of conical buoys with or without 
 staff, globe, or cage, globes being on the starboard side and 
 cages on the port hand. Where a middle ground exists in a 
 channel, each side of it is marked by a buoy of the color in use 
 in that channel, but with annular bauds of white, and with or 
 without staff, diamond, or triangle. In case of its being of 
 such extent as to require intermediate buoys, they are colored 
 as if on the side of a channel. At times the outer buoy is 
 marked by a staff and diamond, and the inner end by a staff 
 and triangle. Wrecks are marked by green nun-buoys placed 
 on the wreck next to mid-channel, with " Wreck" painted 
 thereon; also two balls or two lights, as the case maybe. 
 
 Each buoy is marked with a running number, and the name 
 of the locality where it belongs. 
 
 In the Netherlands, with few exceptions, white buoys must 
 be left on the starboard hand on entering the channel from 
 seaward, and black buoys on the port hand. Outside buoys, 
 and those indicating where the division of a channel begins, 
 are painted red. In Belgium the same system prevails. In 
 Norway and Sweden a white stake with a broom turned up- 
 
AIDS TO NAVIGATION. 89 
 
 wards denotes that Hie shoal lies to the north or east of the 
 mark. A black stake with a broom turned downwards de- 
 notes that the danger lies to tuc south or west of the mark. 
 A stake with white and black horizontal stripes, surmounted 
 by a ball or a pole with a cross at the top, may be passed on 
 either side. 
 
 In Russia the system is nearly the same as in Norway, with 
 this addition for the open sea : a red broom open upwards on 
 a red pole means that the danger lies to the north ; a black 
 broom open downwards on awhile pole means that the danger 
 lies to the south. Two black brooms on a black and white 
 checkered pole mean that the danger lies to the west ; and 
 a black pole with cross at the top surmounted by a ball means 
 that a vessel can pass on all sides. 
 
 In the United States the largest descriptions of buoys are 
 used to mark approaches to channels, seaward bars, and iso- 
 lated shoals or other obstructions to navigation which lie at 
 considerable distance from the coast. First and second class 
 buoys mark the approaches to, the obstructions in, and to point 
 out and mark the limits of channels leading to the principal 
 ports or harbors along the coast. 
 
 They also mark the channels and obstructions adjacent to 
 the coast and those in the large bays and sounds. Second 
 and third class buoys mark the approaches to, and channels 
 and obstructions of, the lesser harbors and bays. Nun and 
 can buoys liable to danger or to be swept away by floating ice 
 are removed on the approach of freezing weather, and spar- 
 buoys put in their" places. Small spar-buoys mark channels 
 and obstructions in shoal-water navigation. 
 
 Special buoys, such as spherical and cask buoys, colored and 
 numbered, are used to mark special localities. All buoj^s are 
 placed in the best position to mark obstructions or define 
 channels, and float as high and as nearly upright as possible 
 during the strongest wind and tide. White serial numbers, as 
 large as the class of buoy will permit, are placed on four 
 sides of red and black buoys, and other distinguishing marks 
 are made to show as prominently and at as great a distance as 
 possible. 
 
 Different channels in the same bay, sound, river, or harbor 
 are marked as far as practicable by different descriptions of 
 buoys. 
 
90 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
AIDS TO NAVIGATION. 91 
 
 The main channel is marked by mm-buoys ; can-buoys indi- 
 cate secondary channels, and spar-buoys minor channels. 
 When there is but one channel, nun-buoys properly colored 
 and numbered are placed on the starboard side and can-buoys 
 on the port side. 
 
 On entering the channel from seaward red buoys with even 
 numbers are placed on the starboard side of the channel, and 
 must be left on the starboard hand in passing in. Black 
 buoys with odd numbers are placed on the port side of the 
 channel, and must be left on the port hand in passing in. 
 Buoys painted with red and black horizontal stripes without 
 numbers are placed on rocks or other obstructions with chan- 
 nels on either side of them, and maybe left on either hand in 
 passing in. Buoys painted with black and white vertical 
 stripes without numbers are placed in mid-channel, and must 
 be passed close to avoid danger. Buoys to mark abrupt turn- 
 ing-points in channels or obstructions requiring a specific and 
 permanent mark are fitted with staves surmounted by balls, 
 cages, triangles, or other distinctive marks, the color indicat- 
 ing w T hich side they shall be passed. Yellow buoys without 
 numbers are used to mark any danger at a quarantine station. 
 
 The bearings from one mid-channel buoy to another in the 
 order of passing to other buoys or objects, the name of the 
 station or position occupied, the color, number, description, 
 class, depth of water at mean low tide, kind of bottom, and 
 such other marks to aid navigation will be found in the proper 
 column of the buoy list. 
 
 Beacons are small but durable structures of timber, mason- 
 ry, or iron, placed on low, outstretching points of land, rocks 
 and sand-banks, shoals or elsewhere, which at certain times of 
 the tide are hidden from view, in estuaries and broad parts of 
 rivers. They serve as leading marks through certain chan- 
 nels for the avoidance of special dangers, and as a guide for 
 entering harbors or anchorage ground. 
 
 Every beacon set up has some especial characteristic, so that 
 it may be recognized, being usually surmounted with a char- 
 acteristic head in the form of a globe, diamond, cross, or tri- 
 angle. Beacons are painted in such a manner that the color 
 will cause them to be well denned upon the background, and 
 those on sides of channels are painted the same as buoys. 
 Some of these beacons are provided with a ladder leading up 
 
SIMPLE ELEMENTS OF NAVIGATION. 
 
 c 
 
 OJ 
 
 H 
 
 - 
 
 K 
 
 I 
 
 
 
 12; 
 
 o 
 
 PQ 
 
AIDS TO NAVIGATION. 93 
 
 to a refuge cage above the high-water mark, capable of hold 
 ing several persons. As a general rule, beacons are not lighted 
 up at night; yet several arrangements have been devised for 
 lighting beacons on detached rocks which are inaccessible 
 during rough weather. 
 
 Sound-signals. The various marks so far dealt with are 
 those which depend upon the sense of sight only , but when 
 sight is unavailing, the sense of hearing naturally suggests it- 
 self when sound-signals have to be used as aids to navigation, 
 especially during fogs, mists, and snow-storms. These sound- 
 signals are, with certain modifications : sirens, trumpets, 
 steam-whistles, bell-buoys, whistling-buoys, bells struck by 
 machinery, cannons, rockets, and gongs. 
 
 Gong's are sometimes used on light-ships and for close 
 quarters, having an effective range of about 500 yards. They 
 are of most use in harbors, short channels, and like places, 
 where a long range would be unnecessary. 
 
 Rockets are used in light-houses as a signal where it 
 would be impossible to mount large pieces of apparatus. It 
 frequently happens that the sound-signal intended to be 
 heard at a certain distance is obstructed or deflected by inter- 
 vening" obstacles; the rocket in this case overcomes the diffi- 
 culty. The charge, usually of gun-cotton, is fitted to the head, 
 and the whole projected to the height of perhaps 1000 feet, 
 when the charge is exploded, and sound scattered in all 
 directions, with greater effect than the report of a gun. 
 Some of these rockets have been heard at a distance of twenty- 
 five miles. 
 
 Cannon are used for various purposes in connection wiili 
 signalling. The minute-gun at sea indicates that the vessel is 
 in distress, and that assistance is required. On some light- 
 ships the cannon is used to attract attention of shipwrecked 
 life-boats. They are also used as warning signals on head- 
 lands and dangerous points on a coast, as aids to navigation 
 in foggy weather, as well as for signalling in accordance with 
 an arranged code. Owing to the short duration of sound, the 
 use of the cannon is not so great as it once was, as the 
 observer, either through lack of attention or otherwise, may 
 not hear unless prepared for it, the sound being liable to be 
 quenched by local sounds, or even obliterated by a puff of 
 wind. The interval between each shot was formerly fifteen 
 
94 
 
 SIMPLE ELEMENTS OF NAVIGATION. 
 
 minutes, but recently it has been altered to ten ; owing, how- 
 ever, to the severe labor and risks accompanying it, this inter- 
 val is of considerable irregularity. 
 
 Bells are in use at every light-station, and at many they 
 are run by machinery actuated by clockwork. These bells 
 weigh from 300 to 3000 pounds. The sound of a bell is 
 curiously fluctuating, and the vibrations of the largest bells 
 are not of sufficient intensity to yield a sound capable of over- 
 coming opposing influences, even of a slight nature, and the 
 effective range is at times very doubtful. However, it has 
 been shown by experiments that the range of bell sounds can 
 be increased with the rapidity of the stroke ; it has also been 
 somewhat increased by the use of iron reflectors. By this it 
 will be seen that the bell is only used, like the gong, for short 
 distances, and is not efficient for fog-signals on the sea-coast. 
 Owing to rough weather, the noises ol the surf will drown 
 the sound to seaward altogether. 
 
 OOURTENAY'S WHISTLING-BUOY. 
 
AIDS TO NAVIGATION. 
 
 05 
 
 The Whistling-buoy, devised by Mr. Courtenuy, is exten- 
 sively employed in various parts of the world. It has a pow- 
 erful whistle fixed at the top, and sounded automatically by 
 the action of the sea, on the passage of any wave or undula- 
 tion, which will cause the instrument to rise and fall six 
 inches or more. It will emit a sound that can be heard dis- 
 tinctly from one to fifteen miles, a mournful sound, which, 
 though of great aid to navigation, is most obnoxious to those 
 who live within ear-shot. They can be used on shoals, where 
 a light-ship is needed but could not live ; and are well suited 
 for broken and turbulent waters, as the rougher the sea the 
 louder their sound : they are also employed for roadsteads 
 and the open sea. 
 
 The Bell-buoy consists of a buoy with a bell so attached 
 that it will cause the bell to strike as the buoy is moved from 
 side to side by the action of the sea. Like the whistling-buoy, 
 the bell-buoy sounds the loudest when the sea is roughest, but 
 is adapted to shoal water, where the whistling-buoy could not 
 ride. It is preferred for harbors, rivers, and other places 
 where the sound range needed is short. 
 
 BELL-BUOY, 
 
96 SIMPLE ELEMENTS Otf NAVIGATION. 
 
 Steam-whistles for signalling in a fog are the same in- 
 struments ordinarily used on steamboats and locomotives. 
 They have been heard at distances, varying with their diame- 
 ter, of from three to twenty-five miles. 
 
 The Trumpet comes next in order, and is simply a horn 
 that is capable of making shrieks which can be heard at a 
 great distance, and is superior to the whistle, having greater 
 penetrating effect. 
 
 The Siren is beyond all doubt the most powerful fog-signal 
 in use, and when operated under a pressure of seventy pounds 
 of steam can be heard, under favorable circumstances, from 
 twenty to thirty miles. Its density, pitch, and penetration 
 render it dominant over noises after all other signal sounds 
 have succumbed, especially under meteorological conditions 
 unfavorable to the transmission of sound. 
 
 The trumpet, siren, and whistle are capable of such arrange- 
 ment that the length of blast and interval and the succession 
 of alternating are such as to identify the location of each, so 
 that the position may be determined by the sound. Double 
 sirens of different pitch are sometimes used. There are in 
 addition to these, in various parts of the world, several sound- 
 signals made by utilizing natural orifices in cliffs, through 
 which the waves drive the air in such force and velocity as to 
 produce the sound required. 
 
 Sound-signals constitute a large factor in the safety of navi- 
 gation, and it is necessary that every signal should have its 
 own characteristic to particularly indicate itself, as a light- 
 house is made to proclaim its own individuality by some 
 distinguishing feature. The effect of different atmospheric 
 conditions upon the transmission of sound is very marked, 
 and it has been found by repeated trials that the sound range 
 varies on clear, calm days; hence the minimum range should 
 always be taken as the guide when running by sound. A 
 most important phenomenon, affording confidence in sound- 
 signalling when a light is rendered ineffectual, is the fact that 
 a foggy atmosphere appears to be a highly favorable condi- 
 tion for the transmission of sound; while rain, hail, and snow 
 offer no obstruction, but, on the contrary, have the effect of 
 assisting the passage of sound. 
 
 It will be seen from the above that a vessel coming to the 
 coast from beyond the sea will pick up the proper coast-light 
 
AIDS TO NAVIGATION". 
 
 97 
 
 02 
 H 
 
 fi 
 
98 SIMPLE ELEMENTS OF NAVIGATION. 
 
 in fair weather, and in thick weather the fog-signal, and take 
 either as a point of departure and feel the way to the harbor 
 light or fog-signal in the port, thence to a safe anchorage, 
 with comparative security. 
 
 CHAPTER XI. 
 REGULATIONS FOR PREVENTING COLLISIONS AT SEA. 
 
 THE laws of all Maritime Nations require a strict observance 
 of the following rules and regulations for the prevention of 
 collisions at sea. 
 
 " ART. 1. In the following rules every steamship which is 
 under sail and not under steam is to be considered a sailing- 
 ship, and every steamship which is under steam, whether un- 
 der sail or not, is to be considered a ship under steam. 
 
 " RULES CONCERNING LIGHTS. 
 
 "ART. 2. The lights mentioned in the following articles 
 numbered three, four, five, six, seven, eight, nine, ten, and 
 eleven, and no others, shall be carried in all weathers, from sun- 
 set to sunrise. 
 
 "ART. 3. A sea-going steamship, when under way, shall 
 carry 
 
 " (a) On or in front of the foremast, at a height above the 
 hull of not less than twenty feet, and if the breadth of the 
 ship exceeds twenty feet, then at a height above the hull not 
 less than such breadth, a bright white light, so constructed as 
 to show a uniform and unbroken light over an arc of the hori- 
 zon of twenty points of the compass, so fixed as to throw the 
 light ten points on each side of the ship, namely, from right 
 ahead to two points abaft the beam on either side, and of such 
 a character as to be visible on a dark night, with a clear atmos- 
 phere, at a distance of at least five miles. 
 
 " (b) On the starboard side a green light, so constructed as 
 to show a uniform and unbroken light over an arc of the hori- 
 zon of ten points of the compass, so fixed as to throw the light 
 from right ahead to two points abaft the beam on the starboard 
 
REGULATIONS FOR PREVENTING COLLISION'S. 99 
 
 side, and of such a character as to be visible on a dark night, 
 with a clear atmosphere, at a distance of at least two miles. 
 
 " (c) On the port side a red light, so constructed as to show a 
 uniform and unbroken light over an arc of the horizon of ten 
 points of the compass, so fixed as to throw the light from 
 right ahead to two points abaft the beam on the port side, and 
 of such a character as to be visible on a dark night, with a 
 clear atmosphere, at a distance of at least two miles. 
 
 " (d) The said green and red side-lights shall be fitted with 
 inboard screens projecting at least three feet forward from the 
 light, so as to prevent these lights from being seen across the 
 bow. 
 
 "ART. 4. A steamship when towing another ship shall, in 
 addition to her side-lights, carry two bright white lights in a 
 vertical line, one-over the other, not less than three feet apart, 
 so as to distinguish her from other steamships. Each of these 
 lights shall be of the same construction and character, and 
 shall be carried in the same position, as the white light which 
 other steamships are required to carry. 
 
 "ART. 5. (a) A ship, whether a steamship or a sailing-ship, 
 which from any accident is not under command, shall at night 
 carry, in the same position as the white light which steamships 
 are required to carry, and if a steamship, in place of that light, 
 three red lights in globular lanterns, each not less than ten 
 inches in diameter, in a vertical line, one over the other, not 
 less than three feet apart, and of such a character as to be vis- 
 ible on a dark night, with a clear atmosphere, at a distance 
 of at least two miles, and shall by day carry in a vertical line, 
 one over the other, not less than three feet apart, in front of 
 but not lower than her foremast-head, three black balls or 
 shapes, each two feet in diameter. 
 
 " (b) A ship, whether a steamship or a sailing-ship, em- 
 ployed in laying or in picking up a telegraph cable, shall at 
 night carry, in the same position asa white light which steam- 
 ships are required to carry, and if a steamship, in place of that 
 light, three lights in globular lanterns, each not less than ten 
 inches in diameter, in a vertical line, over one another, not less 
 than six feet apart. The highest and lowest of these lights shall 
 be red, and the middle light shall be white, and they shall be 
 of such a character that the red lights shall be visible at the 
 same distance as the white light. By day she shall carry, in a 
 
100 SIMPLE ELEMENTS OF NAVIGATION. 
 
 vertical line, one over the other, not less than six feet apart, 
 in front of but not lower than her foremast head, three shapes 
 not less than two feet in diameter, of which the top and 
 bottom shall be globular in sphae and red in color, and the 
 middle one diamond in shape and white. 
 
 "(c) The ships referred to in this article when not making 
 any way through the water shall not carry the side-lights, but 
 when making way shall carry them. 
 
 "(d) The lights and shapes required to be shown by this 
 article are to be taken by other ships as signals that the ship 
 showing them is not under command, and cannot therefore 
 get out of the way. The signals to be made by ships in dis- 
 tress and requiring assistance are contained in article twenty- 
 seven. 
 
 "ART. 6. A sailing-ship under way or being towed shall 
 carry the same lights as are provided by article three for a 
 steamship under way, with the exception of the white light, 
 which she shall never carry. 
 
 " ART. 7. Whenever, as in the case of small vessels during 
 bad weather, the green and red side-lights cannot be fixed, 
 these lights shall be kept on deck, on their respective sides of 
 the vessel, ready for use, and shall, on the approach of or to 
 other vessels, be exhibited on their respective sides in suffi- 
 cient time to prevent collision, in such manner as to make 
 them most visible, and so that the green light shall not be seen 
 on the port side nor the red light on the starboard side. To 
 make the use of these portable lights more certain and easy, 
 the lanterns containing them shall each be painted outside 
 with the color of the light they respectively contain, and shall 
 be provided with proper screens. 
 
 "ART. 8. A ship, whether a steamship or a sailing-ship, 
 when at anchor, shall carry, where it can best be seen, but at 
 a height not exceeding twenty feet above the hull, a white 
 light, in a globular lantern of not less than eight inches in 
 diameter, and so constructed as to show a clear, uniform, and 
 unbroken light, visible all round the horizon at a distance of 
 at least one mile. 
 
 "ART. 9. A pilot vessel, when engaged on her station on 
 pilotage duty, shall not carry the lights required for other 
 vessels, but shali*carry a white light at the mast-head, visible 
 all round the horizon, and shall also exhibit a flare-up light 
 
REGULATIONS I'Oli I'KEY EXTlNU COLLISIONS. lUl 
 
 or flare-up lights at short intervals, which shall never exceed 
 fifteen minutes. A pilot vessel, when not engaged on her 
 station on pilotage duty, shall carry lights similar to those of 
 other ships. 
 
 "ART. 10. Open boats and fishing- vessels of less than 
 twenty tons net registered tonnage, when under way and not 
 when having their nets, trawls, dredges, or lines in the water, 
 shall not be obliged to carry the colored side-lights ; but every 
 such boat and vessel shall in lieu thereof have ready at hand 
 a lantern with a green glass on the one side and a red glass on 
 the other side, and on approaching to or being approached by 
 another vessel such lantern shall be exhibited in sufficient 
 time to prevent collision, so that the green light shall not be 
 seen on the port side nor the red light on the starboard side. 
 
 "The following portion of this article applies only to fish- 
 ing-vessels and boats when in the sea off the coast of Europe 
 lying north of Cape Fiuisterre : 
 
 " (a) All fishing-vessels and fishing-boats of twenty tons net 
 registered tonnage or upward, when under way and when not 
 having their nets, trawls, dredges, or lines in the water, shall 
 carry and show the same lights as other vessels under way. 
 
 "(6) All vessels when engaged in fishing with drift-nets 
 shall exhibit two white lights from any part of the vessel 
 where they can be seen. Such lights shall be placed so that 
 the vertical distance between them shall not be less than six 
 feet and not more than ten feet, and so that the horizontal 
 distance between them, measured in a line with the keel of 
 the vessel, shall be not less than five feet and not more than 
 ten feet. The lower of these two lights shall be the more 
 forward, and both of them shall be of such a character and 
 contained in lanterns of such construction as to show all 
 round the horizon, on a dark night, with a clear atmosphere, 
 for a distance of not less than three miles. 
 
 "(c) All vessels when trawling, dredging, or fishing with 
 any kind of drag-nets shall exhibit, from some part of the 
 vessel where they can be best seen, two lights. One of these 
 lights shall be red and the other shall be white. The red 
 light shall be above the white light, and shall be at a vertical 
 distance from it of not less than six feet and not more than 
 twelve feet ; and the horizontal distance between them, if any, 
 shall not be more than ten feet. These two lights shall be of 
 
102 SIMPLE ELEMENTS OF NAVIGATION. 
 
 such a character and contained in lanterns of such construc- 
 tion as to be visible all round the horizon, on a dark night, 
 with a clear atmosphere, the white light to a distance of not 
 less than three miles and the red light of not less than two 
 miles. 
 
 " (d) A vessel employed in line-fishing, with her lines out, 
 shall carry the same lights as a vessel when engaged in fish- 
 ing with drift-nets. 
 
 " (e) If a vessel when fishing with a trawl, dredge, or any 
 kind of drag-net, becomes stationary in consequence of her 
 gear getting fast to a rock or other obstruction, she shall show 
 the light and make the fog-signal for a vessel at anchor. 
 
 " (f) Fishing- vessels and open boats may at any time use a 
 flare-up in addition to the lights which they are by this arti- 
 cle required to carry and show. All flare-up lights exhibited 
 by a vessel when trawling, dredging, or fishing with any kind 
 of drag-net shall be shown at the af terpart of the vessel, ex- 
 cepting that if the vessel is hanging by the stern to her trawl, 
 dredge, or drag-net they shall be exhibited from the bow. 
 
 " (g) Every fishing-vessel and every open boat when at an- 
 chor between sunset and sunrise shall exhibit a white light, 
 visible all round the horizon at a distance of at least one mile. 
 
 " (li) In a fog a drift-net vessel attached to her nets, and a 
 vessel when trawling, dredging, or fishing with any kind of 
 drag-net, and a vessel employed in line-fishing with her lines 
 out, shall, at intervals of not more than two minutes, make a 
 blast with her fog-horn, and ring her bell alternately." 
 
 Attention is called to paragraphs " a " and " c " of this ar- 
 ticle, which have not been adopted by foreign governments. 
 
 Paragraph "a" has been modified by the British Govern- 
 ment to read as follows, viz.- 
 
 " All fishing vessels and fishing-boats of twenty tons net 
 registered tonnage or upwards, when under way and when 
 not required by the following regulations in this article to 
 carry and show the lights therein named, shall carry and show 
 the same lights as oilier vessels under way." 
 
 Paragraph " c" has been omitted. 
 
 But these two provisions apply only to " fishing-vessels and 
 boats when in the sea off the coast of Europe lying north of 
 Cape Fiuisterre." 
 
 " ART. 11. A ship which is being overtaken by another 
 
REGULATIONS FOK PREVENTING COLLISIONS. 103 
 
 shall show from her stern to such last-mentioned ship a white 
 light or a flare-up light. 
 
 " SOUND SIGNALS FOR FOG, AND SO FORTH. 
 
 "ART. 12. A steamship shall be provided with a steam- 
 whistle or other efficient steam sound-signals, so placed that 
 the sound may not be intercepted by any obstructions, and 
 with an efficient fog-horn, to be sounded by a bellows or other 
 mechanical means, and also with an efficient bell. (In all 
 cases where the regulations require a bell to be used, a drum 
 will be substituted on board Turkish vessels.) A sailing-ship 
 shall be provided with a similar fog-horn and bell. 
 
 "In fog, mist, or falling snow, whether by day or night, 
 the signals described in this article shall be used as follows, 
 that is to say : 
 
 " (a) A steamship under way shall make with her steam- 
 whistle or other steam sound-signal, at intervals of not more 
 than two minutes, a prolonged blast. 
 
 " (b) A sailing-ship under way shall make with her fog- 
 horn, at intervals of not more than two minutes, when on the 
 starboard tack one blast, when on the port tack two blasts in 
 succession, and when with the wind abaft the beam three 
 blasts in succession. 
 
 " (c) A steamship and a sailing-ship when not underway 
 shall, at intervals of not more than two minutes, ring the bell. 
 
 ( < 
 
 SPEED OF SHIPS TO BE MODERATE IN FOG, AND SO FORTH. 
 
 "ART. 13. Every ship, whether a sailing-ship or a steam- 
 ship, shall in a fog, mist, or falling snow go at a moderate 
 speed. 
 
 " STEERING AND SAILING RULES. 
 
 "ART. 14. When two sailing-ships are approaching one 
 another so as to involve risk of collision, one of them shall 
 keep out of the way of the other as follows, namely : 
 
 " (a) A ship which is running free shall keep out of the way 
 of a ship which is close-hauled. 
 
 " (b) A ship which is close-hauled on the port tack shall keep 
 ~ut of the way of a ship which is close-hauled on the starboard 
 tack. 
 
104 SIMPLE ELEMENTS OF KAVIGATIOH. 
 
 " (c) When both are running free, with the wind on differ- 
 ent sides, the ship which has the wind on the port side shall 
 keep out of the way of the other. 
 
 " (d) When both are running free, with the wind on the 
 same side, the ship which is to windward shall keep out of the 
 way of the ship which is to leeward. 
 
 " (e) A ship which has the wind aft shall keep out of the 
 way of the other ship. 
 
 " ART. 15. If two ships under steam are meeting end on, or 
 nearly end on, so as to involve risk of collision, each shall 
 alter her course to starboard, so that each may pass on the port 
 side of the other. This article only applies to cases where 
 ships are meeting end on, or nearly end on, in such a manner 
 as to involve risk of collision, and does not apply to two ships 
 which must, if both keep on their respective courses, pass clear 
 of each other. The only cases to which it does apply are 
 when each of the two ships is end on, or nearly end on, to the 
 other ; in other words, to cases in which b} r day each ship sees 
 the masts of the other in a line, or nearly in a line, with her 
 own, and by night to cases in which each ship is in such a 
 position as to see both the side-lights of the other. It does not 
 apply by day to cases in which a ship sees another ahead cross- 
 ing her own course, or by night to cases where the red light of 
 one ship is opposed to the red light of the other, or where the 
 green light of one ship is opposed to the green light of the 
 other, or where a red light without a green light, or a green 
 light without a red light, is seen ahead, or where both green 
 and red lights are seen anywhere but ahead. 
 
 " ART. 16. If two ships under steam are crossing so as to 
 involve risk of collision, the ship which has the other on her 
 own starboard side shall keep out of the way of the other. 
 
 " ART. 17. If two ships, one of which is a sailing-ship and 
 the other a steamship, are proceeding in such directions as to 
 involve risk of collision, the steamship shall keep out of the 
 way of the sailing-ship. 
 
 "ART. 18. Every steamship, when approaching another 
 ship so as to involve risk of collision, shall slacken her speed, 
 or stop and reverse, if necessary. 
 
 "ART. 19. In taking any course authorized or required by 
 these regulations, a steamship under way may indicate that 
 
REGULATIONS FOR PREVENTING COLLISIONS. 105 
 
 course to any other ship which she has in sight by the follow- 
 ing signals on her steam- whistle, namely : 
 
 "One short blast to mean 'I am directing my course to 
 starboard. ' 
 
 ' ' Two short blasts to mean ' I am directing my course to 
 port.' 
 
 " Three short blasts to mean ' I am going full speed astern.' 
 
 " The use of these signals is optional, but if they are used 
 the course of the ship must be in accordance with the signal 
 made. 
 
 "ART. 20. Notwithstanding anything contained in any pre- 
 ceding article, every ship, whether a sailing-ship or- a steam- 
 ship, overtaking any other shall keep out of the way of the 
 overtaken ship. 
 
 " ART. 21. In narrow channels every steamship shall, when 
 it is safe and practicable, keep to that side of the fairway or 
 mid-channel which lies on the starboard side of such ship. 
 
 "ART. 22. Where by the above rules one of two ships is to 
 keep out of the way, the other shall keep her course. 
 
 "ART. 23. In obeying and construing these rules due regard 
 shall be had to all dangers of navigation, and to any special 
 circumstances which may render a departure from the above 
 rules necessary in order to avoid immediate danger. 
 
 "NO SHIP, UNDER ANY CIRCUMSTANCES, TO NEGLECT PROPER 
 
 PRECAUTIONS. 
 
 "ART. 24. Nothing in these rules shall exonerate any ship, 
 or the owner, or master, or crew thereof, from the consequences 
 of any neglect to carry lights or signals, or of any neglect to 
 keep a proper lookout, or of the neglect of any precaution 
 which may be required by the ordinary practice of seamen or 
 by the circumstances of the case. 
 
 "RESERVATION OF RULES FOR HARBOR AND INLAND NAVIGA- 
 TION. 
 
 "ART. 25. Nothing in these rules shall interfere with the 
 operation of a special rule, duly made by local authority, 
 relative to the navigation of any harbor, river, or inland navi- 
 gation. 
 
106 SIMPLE ELEMENTS OF NAVIGATION. 
 
 "SPECIAL LIGHTS FOR SQUADRONS AND CONVOYS. 
 
 "ART. 26. Nothing iii these rules shall interfere with the 
 operation of any special rules made by the Government of any 
 nation with respect to additional station and signal lights for 
 two or more ships of war or for ships sailing under convoy. 
 
 "ART. 27. When a ship is in distress and requires assistance 
 from other ships or from the shore, the following shall be the 
 signals to be used or displayed by her, either together or 
 separately, that is to say : 
 
 "In the daytime 
 
 "First. A gun fired at intervals of about a minute. 
 
 " Second. The international code signal of distress indicated 
 by N. C. 
 
 " Third. The distant signal, consisting of a square flag, 
 having either above or below it a ball, or anything resembling 
 a ball. 
 
 " At night 
 
 " First. A gun fired at intervals of about a minute. 
 
 "Second. Flames on the ship (as from a burning tar- barrel, 
 oil-barrel, and so forth). 
 
 "Third. Rockets or shells, throwing stars of any color or 
 description, fired one at a time, at short intervals." 
 
TABLES. 
 
EXPLANATION OF TABLES. 
 
 Table I contains the difference of latitude and departure 
 corresponding to distances not exceeding 300 miles, and for 
 courses to every degree of the compass. 
 
 The manner of using this table is explained in the different 
 problems of dead-reckoning. 
 
 Table II gives the refraction, dip of the horizon, and the 
 sun's parallax in altitude; the application of these is explained 
 in the text under the definition of each on page 39. 
 
 Table III gives the declination of the sun to the nearest 
 minute for every noon at Greenwich from the year 1886 to 
 1901, and this table will answer for some years beyond that 
 period, without any material error. This declination may be 
 reduced to any other meridian in the following manner: Take 
 from the table the declination of the same date as the local 
 date and mark it -f- when north and - - when south, and ap- 
 ply a correction equal to the " difference for one hour," mul- 
 tiplied by the hours and part of an hour of the longitude, 
 adding or subtracting the correction as the sign in the table 
 indicates; for a time after noon if the longitude is west, for a 
 time before noon if the longitude is east. 
 
 EXAMPLE. At a place in longitude 81 15' W. on April 15, 
 1887, find the declination. Longitude 81 15' W. = -f 5". 42. 
 Table III. Dec. + 9 45' Diff. one hour + 54" 
 Corr. for -f 5 h 42 -f- 4 53 Long, -f- 5.42 
 
 Declination -f- 9 49 53 -f 292.68 
 
 Corr. + 4' 53" 
 
 Had this longitude been east, we should get, longitude 81 
 15' E. = - - 5 h .42. 
 
 Table III. Dec. -f 9 45' Diff. one hour + 54" 
 Corr. for 5 h .42 4 53 Long. - 5.42 
 
 Declination -f 9 40 07 - 292.68 
 
 Corr. - - 4' 53" 
 109 
 
110 EXPLANATION OF TABLES. 
 
 To find the declination for a given mean time at a given 
 place proceed as follows: From the given mean time find the 
 astronomical time, and the corresponding Greenwich date. 
 Take from the table the declination for the nearest preceding 
 mean time date, and the corresponding difference for one 
 hour, noting the sign of each. Multiply the difference for 
 one hour by the hours and parts of an hour of the remaining 
 Greenwich time, and apply the correction according to the 
 signs, adding if they are alike, and subtracting if they are 
 unlike. If the given Greenwich time is nearer a following 
 than a preceding date, it may be convenient to interpolate 
 back from, the following date. 
 
 EXAMPLE. At a given place in longitude 81 15' W. on 
 April 15, 1887, 10 A.M., find the declination. 
 
 Local astronomical time 14 d 22 h 00 m 
 
 Longitude -|- 5 25 
 Greenwich mean time 15 3 25 
 
 Table III. Dec. -f- 9 45' Diff. one hour -f 54" 
 
 Corr. for G. M. T. -f 3.03 G. M. Time -f 3.4 
 
 Declination + 9 48.03 4- 186.6 
 
 Corr. + 3' 03" 
 
 Table IV contains the equation of time for every noon at 
 Greenwich, and is to be reduced to any other hour by means 
 of Table IV. Thus, suppose the equation of time was re- 
 quired for Feb. 21, 1888, at 10 A.M., corresponding to Feb. 
 20th, 22 hours, Table IV gives the equation of time for Feb. 
 20th, 14 m 00 s , and for the 21st, 13 m 53 s ; the difference between 
 the two is a daily decrease of 7 s . Now enter Table IV, and 
 with 7 at the top and 22 at the side, the corresponding 6 in 
 the column is the number of seconds to subtract from 14 m 00 s 
 to give the required equation of time, 13'" 54 s . This 6 seconds 
 would have been added had the equation of time been increas- 
 ing. The equation of time thus found is to be applied to the 
 apparent time, as stated at the head of the column in Table IV. 
 To obtain the apparent time from, the mean time, the equation 
 of time is applied opposite to the heading in Table IV. 
 
 Table V contains the quantities that are convenient for 
 finding the time, or the total error of the compass, by an alti- 
 tude of the sun. To find the sine, secant, etc., for the de- 
 grees, minutes, and seconds of the date occurring in the prob- 
 lems, look for the degrees at the bottom of the page when 
 
EXPLANATION OF TABLES. Ill 
 
 between 45 and 135, otherwise at the top, the minutes being 
 found in the column marked M., which stands on the side of 
 the page on which the degrees are marked; and if the degrees 
 are found at the top, the names, hour, sine, secant, etc., must 
 also be found at the top; and if the degrees are found at the 
 bottom, the names, hour, sine, secant, etc., must be found at 
 the bottom. Opposite to the minutes will be found the sine, 
 secant, etc., in the columns marked sine, secant, etc., respec- 
 tively. Now, with the number of seconds in the left-hand 
 column under M., take out the number in the nearest column 
 marked "Diff.," which add to the sine, secant, etc., if increas- 
 ing, or subtract if decreasing. 
 
 Thus, to find the cosine of 30 20' 20", with 30 at the top of 
 the page and opposite to 20' under M. in the column marked 
 cosine, will be found 9.93606. Now, with 20" in the left col- 
 umn of M., we find opposite in the nearest column of " Diff." 
 the figure 2 to be subtracted from the cosine as it is decreas- 
 ing, which gives the correct cosine, 9.93604. Should it be 
 desired to find the degrees, minutes, and seconds correspond- 
 ing to this cosine, we search in the column of cosines for the 
 nearest figures to those given, which will be in the column 
 under 30, and opposite to the nearest number in the column 
 M. corresponding to 30, will be found 20. Take the differ- 
 ence between the given number and the nearest in the column, 
 which is 2. Now, with this 2, look in the nearest column of 
 " Diff.," and as there are several numbers marked 2, take the 
 middle one, opposite to which, in the left-hand column under 
 M., will be found 16 or 30 20' 16", sufficiently near for all 
 practicable purposes. 
 
 The method of finding the hours, minutes, and seconds cor- 
 responding to the sine, etc., is fully given in the text on find- 
 ing the longitude. 
 
TABLE I. 
 
 DIFFERENCE OF LATITUDE AND DEPARTURE, 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 1. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lnt. 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 I 
 
 1.0 
 
 0.0 
 
 61 
 
 61. o 
 
 !_. 
 
 121 
 
 121. 
 
 2. I 
 
 181 
 
 181.0 
 
 3- 2 
 
 241 
 
 241.0 
 
 4-2 
 
 2 
 
 2.0 
 
 o. o 
 
 62 
 
 62. o 
 
 f. 
 
 22 
 
 122. O 
 
 2. I 
 
 82 
 
 182.0 
 
 3 2 
 
 4 2 
 
 242. o 
 
 4.2 
 
 3 
 
 3-0 
 
 o. 
 
 63 
 
 63. o 
 
 I. 
 
 23 
 
 123.0 
 
 2. I 
 
 83 
 
 183.0 
 
 3-2 
 
 43 
 
 243-0 
 
 4.2 
 
 4 
 
 4.0 
 
 0. 
 
 64 
 
 64. o 
 
 I. 
 
 24 
 
 124. o 
 
 2. 2 
 
 84 
 
 184. o 
 
 3- 2 
 
 44 
 
 244.0 
 
 4-3 
 
 S 
 
 5. o 
 
 o. 
 
 65 
 
 65. o 
 
 I. 
 
 25 
 
 125. o 
 
 2. 2 
 
 8 5 
 
 185.0 
 
 3-2 
 
 45 
 
 245.0 
 
 4-3 
 
 5 
 
 6. o 
 
 o. 
 
 66 
 
 66.0 
 
 I. 2 
 
 26 
 
 126. o 
 
 2. 2 
 
 86 
 
 186. o 
 
 3-2 
 
 46 
 
 246". o 
 
 4-3 
 
 7 
 
 7.0 
 
 o. 
 
 67 
 
 67. o 
 
 1.2 
 
 27 
 
 127. o 
 
 2. 2 
 
 87 
 
 187.0 
 
 3-3 
 
 47 
 
 247.0 
 
 4-3 
 
 8 
 
 8.0 
 
 o. 
 
 68 
 
 68.0 
 
 I. 2 
 
 28 
 
 128.0 
 
 2.2 
 
 88 
 
 188.0 
 
 3-3 
 
 48 
 
 248. o 
 
 4-3 
 
 9 
 
 9.0 
 
 O, 2 
 
 69 
 
 69. o 
 
 I. 2 
 
 29 
 
 129.0 
 
 2-3 
 
 89 
 
 189. o 
 
 3-3 
 
 49 
 
 249.0 
 
 4-3 
 
 10 
 
 lo. o 
 
 O. 2 
 
 70 
 
 70. o 
 
 1.2 
 
 3 
 
 130.0 
 
 2-3 
 
 90 
 
 190. o 
 
 3-3 
 
 50 
 
 250. o 
 
 4-4 
 
 II 
 
 II. 
 
 O. 2 
 
 71 
 
 71.0 
 
 1. 2 
 
 131 
 
 131. o 
 
 2-3 
 
 191 
 
 191.0 
 
 3-3 
 
 251 
 
 251. o 
 
 4-4 
 
 12 
 
 12.0 
 
 0. 2 
 
 72 
 
 72.0 
 
 1-3 
 
 32 
 
 132. o 
 
 2.3 
 
 92 
 
 192. o 
 
 3-4 
 
 5 2 
 
 252.0 
 
 4-4 
 
 13 
 
 13-0 
 
 0. 2 
 
 73 
 
 73-o 
 
 I. 3 
 
 33 
 
 133-0 
 
 2.3 
 
 93 
 
 193.0 
 
 3-4 
 
 53 
 
 253.0 
 
 4-4 
 
 '4 
 
 14. o 
 
 O. 2 
 
 74 
 
 74.0 
 
 1-3 
 
 34 
 
 134.0 
 
 2-3 
 
 94 
 
 194.0 
 
 3-4 
 
 54 
 
 254.0 
 
 4-4 
 
 15 
 
 15. o 
 
 0-3 
 
 75 
 
 75.o 
 
 i-3 
 
 35 
 
 135-0 
 
 2.4 
 
 95 
 
 195.0 
 
 3-4 
 
 55 
 
 255.0 
 
 4-5 
 
 16 
 
 16. o 
 
 
 76 
 
 70. o 
 
 '3 
 
 36 
 
 136. o 
 
 2-4 
 
 96 
 
 196. o 
 
 3-4 
 
 56 
 
 256. o 
 
 4-5 
 
 17 
 
 17.0 
 
 . 3 
 
 77 
 
 77.0 
 
 i-3 
 
 37 
 
 137-0 
 
 2.4 
 
 97 
 
 197.0 
 
 3-4 
 
 57 
 
 257.0 
 
 4-5 
 
 18 
 
 18. o 
 
 0-3 
 
 78 
 
 78. o 
 
 1.4 
 
 38 
 
 138.6 
 
 2. "4 
 
 
 198.0 
 
 3-5 
 
 58 
 
 258.0 
 
 4-5 
 
 '9 
 
 19.0 
 
 o. 3 
 
 79 
 
 79.0 
 
 1.4 
 
 39 
 
 139.0 
 
 2.4 
 
 99 
 
 199.0 
 
 3-5 
 
 59 
 
 259.0 
 
 4-5 
 
 20 
 
 20. o 
 
 o-3 
 
 80 
 
 80.0 
 
 1.4 
 
 40 
 
 140. o 
 
 2. 4 
 
 200 
 
 ICO. O 
 
 3-5 
 
 60 
 
 260. o 
 
 4-5 
 
 21 
 
 21. O 
 
 0.4 
 
 Si 
 
 81.0 
 
 1.4 
 
 141 
 
 141. o 
 
 2-5 
 
 201 
 
 OI. O 
 
 3-5 
 
 261 
 
 261. o 
 
 4.6 
 
 22 
 
 22. O 
 
 0.4 
 
 82 
 
 82.0 
 
 1-4 
 
 42 
 
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 62 
 
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 86 
 
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 47 
 
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 79 
 
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 114 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 2. 
 
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 62 
 
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 68 
 
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 48 
 
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 69 
 
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 89 
 
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 7 
 
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 131 
 
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 96 
 
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 17 
 
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 77 
 
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 97 
 
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 57 
 
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 79 
 
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 [For 88 Degrees. 
 
 115 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 3. 
 
 Dist 
 
 Lat 
 
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 61 
 
 60. 9 
 
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 121 
 
 120.8 
 
 6-3 
 
 181 
 
 180. 8 
 
 9-5 
 
 241 
 
 240. 7 
 
 12.6 
 
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 62 
 
 61.9 
 
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 22 
 
 121. 8 
 
 6.4 
 
 82 
 
 181.8 
 
 9-5 
 
 42 
 
 241. 7 
 
 12.7 
 
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 63 
 
 62. 9 
 
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 23 
 
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 83 
 
 182. 7 
 
 9-6 
 
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 242.7 
 
 12.7 
 
 4 
 
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 64 
 
 63. 9 
 
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 24 
 
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 84 
 
 183-7 
 
 9.6 
 
 44 
 
 243- 7 
 
 12.8 
 
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 65 
 66 
 
 64.9 
 65.9 
 
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 124.8 
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 184.7 
 185.7 
 
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 45 
 46 
 
 244. 7 
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 12.8 
 
 12.9 
 
 7 
 
 7.0 
 
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 67 
 
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 27 
 
 126.8 
 
 6.6 
 
 87 
 
 186.7 
 
 9-8 
 
 47 
 
 246.7 
 
 12.9 
 
 8 
 
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 68 
 
 67.9 
 
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 28 
 
 127.8 
 
 6.7 
 
 88 
 
 187.7 
 
 9.8 
 
 48 
 
 247-7 
 
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 9 
 
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 0.5 
 
 69 
 
 68.9 
 
 3-6 
 
 29 
 
 128.8 
 
 6.8 
 
 89 
 
 1 88. 7 
 
 9-9 
 
 49 
 
 248. 7 
 
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 70 
 
 69.9 
 
 3-7 
 
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 129.8 
 
 6.8 
 
 90 
 
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 9-9 
 
 
 249.7 
 
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 70.9 
 
 3-7 
 
 131 
 
 130.8 
 
 6.9 
 
 191 
 
 190.7 
 
 10. O 
 
 251 
 
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 72 
 
 71.9 
 
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 13 
 
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 73 
 
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 53 
 
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 75 
 
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 35 
 
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 95 
 
 194-7 
 
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 55 
 
 254. 7 
 
 
 10 
 
 16.0 
 
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 76 
 
 75-9 
 
 4.0 
 
 36 
 
 135-8 
 
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 96 
 
 195-7 
 
 10.3 
 
 56 
 
 255-6 
 
 13-4 
 
 17 
 
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 77 
 
 76.9 
 
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 37 
 
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 97 
 
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 57 
 
 256.6 
 
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 78 
 
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 3 
 
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 98 
 
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 58 
 
 257.6 
 
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 19 
 
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 79 
 
 78.9 
 
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 39 
 
 138.8 
 
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 99 
 
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 10.4 
 
 59 
 
 258.6 
 
 13-6 
 
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 80 
 
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 200 
 
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 21 
 
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 81 
 
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 141 
 
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 261 
 
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 22 
 
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 82 
 
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 62 
 
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 63 
 
 262. 6 
 
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 24 
 
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 3 
 
 84 
 
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 44 
 
 143-8 
 
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 10.7 
 
 64 
 
 263.6 
 
 13-8 
 
 25 
 
 25.0 
 
 3 
 
 85 
 
 84.9 
 
 4.4 
 
 45 
 
 144.8 
 
 7-6 
 
 05 
 
 204. 7 
 
 10.7 
 
 65 
 
 264. 6 
 
 3-9 
 
 26 
 
 26.0 
 
 4 
 
 86 
 
 85-9 
 
 4-5- 
 
 46 
 
 145.8 
 
 7-6 
 
 06 
 
 205.7 
 
 10.8 
 
 66 
 
 265.6 
 
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 27 
 
 27.0 
 
 4 
 
 87 
 
 86.9 
 
 4.6 
 
 47 
 
 146.8 
 
 7-7 
 
 07 
 
 206. 7 
 
 10.8 
 
 67 
 
 266.6 
 
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 28 
 
 28.0 
 
 5 
 
 88 
 
 87.9 
 
 4.6 
 
 48 
 
 147.8 
 
 7-7 
 
 08 
 
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 68 
 
 267.6 
 
 14.0 
 
 29 
 
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 5 
 
 89 
 
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 49 
 
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 69 
 
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 90 
 
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 5 
 
 149.8 
 
 7-9 
 
 10 
 
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 7 
 
 269.6 
 
 14.1 
 
 31 
 
 31.0 
 
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 90.9 
 
 4.8 
 
 151 
 
 150.8 
 
 7-9 
 
 211 
 
 210. 7 
 
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 271 
 
 270. 6 
 
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 7 
 
 92 
 
 91.9 
 
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 151.8 
 
 8.0 
 
 12 
 
 211. 7 
 
 11. i 
 
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 271. 6 
 
 14.2 
 
 33 
 
 33-0 
 
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 93 
 
 92.9 
 
 4-9 
 
 53 
 
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 73 
 
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 34 
 
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 94 
 
 93-9 
 
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 74 
 
 273.6 
 
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 35 
 
 35- 
 
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 95 
 
 94-9 
 
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 55 
 
 154.8 
 
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 15 
 
 214.7 
 
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 75 
 
 274.6 
 
 14.4 
 
 36 
 
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 9 
 
 96 
 
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 56 
 
 155.8 
 
 8.2 
 
 16 
 
 215.7 
 
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 76 
 
 275-6 
 
 14.4 
 
 37 
 
 36-9 
 
 9 
 
 97 
 
 96.9 
 
 
 57 
 
 156.8 
 
 8.2 
 
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 216. 7 
 
 11.4 
 
 77 
 
 276.6 
 
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 38 
 
 37-9 
 
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 98 
 
 97-9 
 
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 58 
 
 157.8 
 
 8-3 
 
 18 
 
 217.7 
 
 11.4 
 
 78 
 
 277-6 
 
 14-5 
 
 39 
 
 38-9 
 
 2. O 
 
 99 
 
 98.9 
 
 5-2 
 
 59 
 
 158.8 
 
 8-3 
 
 19 
 
 218. 7 
 
 11.5 
 
 79 
 
 278.6 
 
 14. 6 
 
 40 
 
 39-9 
 
 2. I 
 
 IOO 
 
 99-9 
 
 5-2 
 
 60 
 
 159.8 
 
 8-4 
 
 20 
 
 219.7 
 
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 279.6 
 
 14-7 
 
 41 
 
 40.9 
 
 2. I 
 
 101 
 
 100.9 
 
 5-3 
 
 161 
 
 160.8 
 
 8.4 
 
 221 
 
 220. 7 
 
 II. 6 
 
 281 
 
 280.6 
 
 14-7 
 
 43 
 
 41.9 
 
 2. 2 
 
 02 
 
 101. 9 
 
 5-3 
 
 62 
 
 161.8 
 
 8-5 
 
 22 
 
 221. 7 
 
 n. 6 
 
 82 
 
 281.6 
 
 14. $ 
 
 43 
 
 42.9 
 
 2-3 
 
 3 
 
 102. 9 
 
 5-4 
 
 63 
 
 162.3 
 
 8-5 
 
 23 
 
 222. 7 
 
 11.7 
 
 83 
 
 282.6 
 
 14.8 
 
 44 
 
 43-9 
 
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 04 
 
 163-9 
 
 5-4 
 
 64 
 
 163.8 
 
 8.6 
 
 24 
 
 223.7 
 
 II. 7 
 
 84 
 
 283.6 
 
 14.9 
 
 45 
 
 44-9 
 
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 104.9 
 
 5-5 
 
 65 
 
 164.8 
 
 8.6 
 
 25 
 
 224.7 
 
 ii. 8 
 
 85 
 
 284.6 
 
 14.9 
 
 46 
 
 45-9 
 
 2.4 
 
 06 
 
 i5-9 
 
 5-5 
 
 66 
 
 165.8 
 
 8.7 
 
 26 
 
 225.7 
 
 n.8 
 
 86 
 
 285.6 
 
 15.0 
 
 47 
 
 46.9 
 
 2-5 
 
 7 
 
 106. 9 
 
 5-6 
 
 67 
 
 166.8 
 
 8- 7 
 
 27 
 
 226. 7 
 
 11.9 
 
 87 
 
 286.6 
 
 15.0 
 
 48 
 
 47-9 
 
 2-5 
 
 08 
 
 107.9 
 
 5-7 
 
 63 
 
 167.8 
 
 8.8 
 
 28 
 
 227.7 
 
 11.9 
 
 88 
 
 287.6 
 
 15.1 
 
 49 
 
 48.9 
 
 2.6 
 
 09 
 
 1 08. 9 
 
 5-7 
 
 69 
 
 168. 8 
 
 8.8 
 
 29 
 
 228. 7 
 
 12.0 
 
 89 
 
 288.6 
 
 15.1 
 
 5 
 
 49-9 
 
 2.6 
 
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 109. 8 
 
 5-8 
 
 70 
 
 169.8 
 
 8.9 
 
 3 
 
 227.7 
 
 12. O 
 
 90 
 
 289.6 
 
 15-2 
 
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 50.9 
 
 f. 7 
 
 III 
 
 i io. 8 
 
 5-8 
 
 171 
 
 170.8 
 
 8-9 
 
 231 
 
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 12. 1 
 
 291 
 
 290. 6 
 
 15.2 
 
 52 
 
 51.9 
 
 2-7 
 
 12 
 
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 5-9 
 
 72 
 
 171.8 
 
 9.0 
 
 32 
 
 231.7 
 
 12. I 
 
 92 
 
 291. 6 
 
 >5-3 
 
 53 
 
 52.9 
 
 2.8 
 
 13 
 
 112.8 
 
 5-9 
 
 73 
 
 172.8 
 
 9- i 
 
 33 
 
 2 3 2 - 7 
 
 12.2 
 
 93 
 
 292. 6 
 
 >5-3 
 
 54 
 
 53-9 
 
 2.8 
 
 14 
 
 113.8 
 
 6.0 
 
 74 
 
 173-8 
 
 9-1 
 
 34 
 
 233- 7. 
 
 12. 2 
 
 94 
 
 293.6 
 
 '5-4 
 
 55 
 
 54-9 
 
 2.9 
 
 15 
 
 114.8 
 
 6.0 
 
 75 
 
 174.8 
 
 9-2 
 
 35 
 
 234- 7 
 
 '2-3 
 
 95 
 
 294.6 
 
 5-4 
 
 56 
 
 55-9 
 
 2.9 
 
 16 
 
 115.8 
 
 6.1 
 
 76 
 
 175-8 
 
 9-2 
 
 36 
 
 235-7 
 
 I2. 4 
 
 96 
 
 295.6 
 
 '5-5 
 
 57 
 
 56.9 
 
 3-0 
 
 17 
 
 116.8 
 
 6.1 
 
 77 
 
 176.8 
 
 9-3 
 
 37 
 
 236. 7 
 
 12.4 
 
 97 
 
 296. 6 
 
 15-5 
 
 58 
 
 57-9 
 
 3- 
 
 18 
 
 117.8 
 
 6.2 
 
 78 
 
 177-8 
 
 9-3 
 
 38 
 
 2 37-7 
 
 I2. 5 
 
 98 
 
 207. 6 
 
 15. 6 
 
 '59 
 
 58.9 
 
 3-1 
 
 19 
 
 118.8 
 
 6.2 
 
 79 
 
 178.8 
 
 9-4 
 
 39 
 
 238.7 
 
 12. 5 
 
 99 
 
 298.6 
 
 15.6 
 
 60 
 
 59-9 
 
 . 3- ' 
 
 20 
 
 119.8 
 
 6-3 
 
 86 
 
 179.8 
 
 9-4 
 
 . 40 
 
 239-7 
 
 12. 6 
 
 300 
 
 299.6 
 
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 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 [For 87 Degrees. 
 
 116 
 
DIFFERENCE OF LATITUDE 
 
 AND DEPARTURE FOR 4. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 bist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 I 
 
 I.O 
 
 0. I 
 
 61 
 
 60. 9 
 
 4-3 
 
 121 
 
 120. 7 
 
 8-4 
 
 181 
 
 180.6 
 
 12.6 
 
 24' 
 
 240.4 
 
 16. 8 
 
 2 
 
 2. O 
 
 0. I 
 
 62 
 
 61.8 
 
 4-3 
 
 22 
 
 121. 7 
 
 8-5 
 
 82 
 
 181.6 
 
 12.7 
 
 42 
 
 241.4 
 
 16. 9 
 
 3 
 
 3- 
 
 0. 2 
 
 63 
 
 62.8 
 
 4-4 
 
 2 3 
 
 122.7 
 
 8.6 
 
 83 
 
 182.6 
 
 12.8 
 
 43 
 
 242.4 
 
 17.0 
 
 4 
 
 4.0 
 
 o. 3 
 
 64 
 
 63.8 
 
 4-5 
 
 24 
 
 123.7 
 
 8.6 
 
 84 
 
 183.6 
 
 12.8 
 
 44 
 
 243-4 
 
 17.0 
 
 
 5- 
 
 o. 3 
 
 65 
 
 64.8 
 
 4-5 
 
 25 
 
 124.7 
 
 8-7 
 
 85 
 
 184-5 
 
 12.9 
 
 45 
 
 244.4 
 
 17.1 
 
 6 
 
 6.0 
 
 o-4 
 
 66 
 
 65.8 
 
 4.6 
 
 26 
 
 125.7 
 
 8.8 
 
 86 
 
 '85.5 
 
 13.0 
 
 46 
 
 245-4 
 
 17.2 
 
 7 
 
 7.0 
 
 
 (j-j 
 
 66.8 
 
 4- 7 
 
 27 
 
 126. 7 
 
 8.9 
 
 87 
 
 186.5 
 
 13.0 
 
 47 
 
 246.4 
 
 17-2 
 
 8 
 
 8.0 
 
 o!6 
 
 68 
 
 67.8 
 
 4-7 
 
 28 
 
 127.7 
 
 8.9 
 
 88 
 
 187.5 
 
 13.1 
 
 48 
 
 247-4 
 
 17.3 
 
 9 
 
 9.0 
 
 0.6 
 
 69 
 
 68.8 
 
 4-8 
 
 29 
 
 128. 7 
 
 9.0 
 
 89 
 
 188.5 
 
 13.2 
 
 49 
 
 248.4 
 
 17.4 
 
 10 
 
 10. O 
 
 - 7 
 
 70 
 
 69.8 
 
 4-9 
 
 3 
 
 129.7 
 
 9-1 
 
 90 
 
 189.5 
 
 '3-3 
 
 50 
 
 249.4 
 
 17.4 
 
 ii 
 
 11. 
 
 0.8 
 
 71 
 
 70.8 
 
 5- 
 
 131 
 
 13. 7 
 
 9.1 
 
 191 
 
 190.5 
 
 '3-3 
 
 25' 
 
 250.4 
 
 17-5 
 
 12 
 
 12. O 
 
 0.8 
 
 72 
 
 71.8 
 
 5-o 
 
 32 
 
 '3'-7 
 
 9.2 
 
 92 
 
 191.5 
 
 '3-4 
 
 52 
 
 251.4 
 
 17.6 
 
 13 
 
 13-0 
 
 0.9 
 
 73 
 
 72.8 
 
 
 33 
 
 132.7 
 
 9-3 
 
 93 
 
 192. 5 
 
 '3-5 
 
 53 
 
 252.4 
 
 17.6 
 
 H 
 
 14.0 
 
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 74 
 
 73-8 
 
 5-2 
 
 34 
 
 133-7 
 
 9-3 
 
 94 
 
 193-5 
 
 '3-5 
 
 54 
 
 253-4 
 
 17-7 
 
 15 
 IO 
 
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 16. o 
 
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 9 
 
 74-8 
 75- 8^ 
 
 5-2 
 
 5-3 
 
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 134-7 
 135-7 
 
 9-4 
 9-5 
 
 96- 
 
 194-5 
 195-5 
 
 13- 6 
 13-7 
 
 H 
 
 254.4 
 255-4 
 
 '7-8 
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 17 
 
 17.0 
 
 .2 
 
 77 
 
 76.8 
 
 5-4 
 
 37 
 
 136.7 
 
 9-6 
 
 97 
 
 
 '3-7 
 
 57 
 
 256.4 
 
 '7-9 
 
 18 
 
 18. o 
 
 3 
 
 78 
 
 77.8 
 
 5-4 
 
 38 
 
 137-7 
 
 9.6 
 
 98 
 
 '97-5 
 
 '3-8 
 
 38 
 
 257-4 
 
 18. o 
 
 '9 
 
 19. o 
 
 3 
 
 79 
 
 78.8 
 
 5-5 
 
 39 
 
 138.7 
 
 9-7 
 
 99 
 
 198.5 
 
 '3-9 
 
 59 
 
 258.4 
 
 18. i 
 
 20 
 
 20. O 
 
 4 
 
 80 
 
 79-8 
 
 5-6 
 
 40 
 
 139- 7 
 
 9-8 
 
 200 
 
 199-5 
 
 14. o 
 
 60 
 
 259-4 
 
 18. i 
 
 21 
 
 20. 9 
 
 5 
 
 Si 
 
 80.8 
 
 5-7 
 
 141 
 
 140.7 
 
 9-8 
 
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 200. 5 
 
 14. o 
 
 261 
 
 260.4 
 
 18. 2 
 
 22 
 
 21. 9 
 
 5 
 
 82 
 
 81.8 
 
 5-7 
 
 42 
 
 141.7 
 
 9-9 
 
 02 
 
 201.5 
 
 14. i 
 
 62 
 
 261.4 
 
 18.3 
 
 2 3 
 
 22.9 
 
 .6 
 
 83 
 
 82.8 
 
 5-8 
 
 43 
 
 142.7 
 
 IO. O 
 
 3 
 
 202. 5 
 
 14.2 
 
 63 
 
 262.4 
 
 '8-3 
 
 24 
 
 23.9 
 
 7 
 
 84 
 
 83.8 
 
 5-9 
 
 44 
 
 143.6 
 
 IO. O 
 
 04 
 
 203.5 
 
 14.2 
 
 64 
 
 263.4 
 
 18.4 
 
 25 
 
 24.9 
 
 7 
 
 85 
 
 84.8 
 
 5-9 
 
 45 
 
 144.6 
 
 IO. I 
 
 5 
 
 204.5 
 
 '4-3 
 
 65 
 
 264.4 
 
 18.5 
 
 26 
 
 25.9 
 
 .8 
 
 86 
 
 85.8 
 
 6.0 
 
 46 
 
 145-6 
 
 IO. 2 
 
 06 
 
 205.5 
 
 14.4 
 
 66 
 
 265.4 
 
 18.6 
 
 27 
 
 26. 9 
 
 9 
 
 87 
 
 86.8 
 
 6. i 
 
 47 
 
 1^6.6 
 
 10.3 
 
 07 
 
 206. 5 
 
 14.4 
 
 67 
 
 266.3 
 
 18.6 
 
 28 
 
 27.9 
 
 2. O 
 
 88 
 
 87.8 
 
 6.1 
 
 48 
 
 147.6 
 
 IO. 3 
 
 08 
 
 207.5 
 
 14.5 
 
 68 
 
 267.3 
 
 18.7 
 
 2 9 
 
 28.9 
 
 2.0 
 
 89 
 
 SS. 8 
 
 6.2 
 
 49 
 
 148.6 
 
 lo. 4 
 
 09 
 
 208.5 
 
 14. 6 
 
 69 
 
 268.3 
 
 18. 8 
 
 3 
 
 29.9 
 
 2. I 
 
 90 
 
 89.8 
 
 6-3 
 
 50 
 
 149.6 
 
 10.5 
 
 IO 
 
 209. 5 
 
 14. 6 
 
 70 
 
 269.3 
 
 18.8 
 
 3i 
 
 3-9 
 
 2. 2 
 
 9' 
 
 90.8 
 
 6-3 
 
 '51 
 
 150.0 
 
 10. 5 
 
 211 
 
 2IO-. 5 
 
 14-7 
 
 271 
 
 270.3 
 
 18.9 
 
 32 
 
 3'-9 
 
 2. 2 
 
 92 
 
 91.8 
 
 6.4 
 
 52 
 
 151. 6 
 
 10. 6 
 
 12 
 
 211. 5 
 
 14.8 
 
 72 
 
 27'- 3 
 
 19. o 
 
 33 
 
 32.9 
 
 2-3 
 
 93 
 
 92.8 
 
 6-5 
 
 53 
 
 152. 6 
 
 10.7 
 
 13 
 
 212.5 
 
 14 9 
 
 73 
 
 272.3 
 
 19.0 
 
 34 
 
 33-9 
 
 2. 4 
 
 94 
 
 93-8 
 
 6.6 
 
 54 
 
 '53-6 
 
 10. 7 
 
 H 
 
 213.5 
 
 14.9 
 
 74 
 
 273-3 
 
 19.1 
 
 35 
 
 34-9 
 
 2.4 
 
 95 
 
 94-8 
 
 6.6 
 
 55 
 
 154-6 
 
 10.8 
 
 15 
 
 214.5 
 
 15.0 
 
 75 
 
 274-3 
 
 19.2 
 
 36 
 
 35-9 
 
 2.5 
 
 96 
 
 95-8 
 
 6.7 
 
 56 
 
 155.6 
 
 10. 9 
 
 16 
 
 215.5 
 
 IS-' 
 
 76 
 
 275-3 
 
 19-3 
 
 37 
 
 f. 
 
 3 6 -9 
 
 2.6 
 
 97 
 
 96.8 
 
 6.8 
 
 57 
 
 156.6 
 
 I I/O 
 
 17 
 
 216.5 
 
 15.1 
 
 77 
 
 276.3 
 
 19-3 
 
 38 
 
 37-9 
 
 2.-7 
 
 98 
 
 97-8 
 
 6.8 
 
 58 
 
 157.6 
 
 II. 
 
 18 
 
 217.5 
 
 15.2 
 
 78 
 
 277-3 
 
 19-4 
 
 39 
 
 38.9 
 
 2.7 
 
 99 
 
 98.8 
 
 6.9 
 
 59 
 
 158.6 
 
 II. I 
 
 '9 
 
 218.5 
 
 15-3 
 
 79 
 
 278.3 
 
 19-5 
 
 40 
 
 39-9 
 
 2.8 
 
 100 
 
 99-8 
 
 7.0 
 
 60 
 
 159.6 
 
 II. 2 
 
 20 
 
 219.5 
 
 '5-3 
 
 80 
 
 279-3 
 
 19-5 
 
 41 
 
 40.9 
 
 2.9 
 
 IOI 
 
 100. 8 
 
 7.0 
 
 161 
 
 160.6 
 
 II. 2 
 
 221 
 
 220. 5 
 
 15.4 
 
 281 
 
 280.3 
 
 19.6 
 
 42 
 
 41.9 
 
 2.9 
 
 02 
 
 101. 8 
 
 
 62 
 
 161.6 
 
 11-3 
 
 22 
 
 221-5 
 
 15-5 
 
 82 
 
 281.3 
 
 19.7 
 
 43 
 
 42.9 
 
 3-o 
 
 03 
 
 102. 7 
 
 7-2 
 
 63 
 
 162.6 
 
 II.4 
 
 23 
 
 222. 5 
 
 15-6 
 
 83 
 
 282.3 
 
 19-7 
 
 44 
 
 43-9 
 
 3-1 
 
 04 
 
 103-7 
 
 7-3 
 
 64 
 
 163.6 
 
 II.4 
 
 24 
 
 223.5 
 
 15.6 
 
 84 
 
 283-3 
 
 19.8 
 
 45 
 
 44-9 
 
 
 05 
 
 104. 7 
 
 7-3 
 
 65 
 
 164. 6 
 
 ii. 5 
 
 25 
 
 224-5 
 
 15-7 
 
 !l 
 
 284.3 
 
 19.9 
 
 46 
 
 45-9 
 
 3-2 
 
 06 
 
 105.7 
 
 7-4 
 
 66 
 
 165.6 
 
 ii. 6 
 
 26 
 
 225.4 
 
 15-8 
 
 86 
 
 285.3 
 
 20.0 
 
 47 
 
 46.9 
 
 3-3 
 
 07 
 
 106. 7 
 
 7-5 
 
 67 
 
 166.6 
 
 ii. 6 
 
 27 
 
 226.4 
 
 15.8 
 
 I 7 
 
 286.3 
 
 20.0 
 
 48 
 
 47-9 
 
 3-3 
 
 08 
 
 107. 6 
 
 7-5 
 
 68 
 
 167.6 
 
 11-7 
 
 28 
 
 227.4 
 
 I5.9 
 
 88 
 
 287.3 
 
 20. I 
 
 49 
 
 48.9 
 
 3-4 
 
 09 
 
 1 08. 7 
 
 7.6 
 
 69 
 
 168.6 
 
 n. 8 
 
 29 
 
 228.4 
 
 16. o 
 
 89 
 
 288.3 
 
 2O. 2 
 
 5 
 
 49-9 
 
 3-5 
 
 IO 
 
 109.7 
 
 7-7 
 
 70 
 
 169. 6 
 
 11.9 
 
 3 
 
 229.4 
 
 16. o 
 
 90 
 
 289.3 
 
 20.2 
 
 5' 
 
 5-9 
 
 3-6 
 
 III 
 
 no. 7 
 
 7-7 
 
 I7i 
 
 170. 6 
 
 II-9 
 
 23' 
 
 230.4 
 
 16. i. 
 
 291 
 
 290.3 
 
 20.3 
 
 
 5L9 
 
 3-6 
 
 12 
 
 111.7 
 
 7-8 
 
 72 
 
 171.6 
 
 12.0 
 
 32 
 
 231.4 
 
 16. 2 
 
 92 
 
 291.3 
 
 2O.4 
 
 53 
 
 52.9 
 
 3-7 
 
 13 
 
 112. 7 
 
 7-9 
 
 73 
 
 172.6 
 
 12, I 
 
 33 
 
 232.4 
 
 16.3 
 
 93 
 
 292.3 
 
 20.4 
 
 54 
 
 53-9 
 
 3-8 
 
 14 
 
 113.7 
 
 8.0 
 
 74 
 
 173-6 
 
 12. I 
 
 34 
 
 233- 4 
 
 16.3 
 
 94 
 
 293-3 
 
 20.5 
 
 55 
 
 54-9 
 
 3-8 
 
 '5 
 
 114.7 
 
 8.0 
 
 75 
 
 174-6 
 
 12.2 
 
 35 
 
 234.4 
 
 16.4 
 
 95 
 
 294-3 
 
 20. 6 
 
 56 
 
 55-9 
 
 3-9 
 
 16 
 
 115.7 
 
 8.1 
 
 76 
 
 175-6 
 
 12.3 
 
 36 
 
 235-4 
 
 16.5 
 
 96 
 
 295-3 
 
 20. 6 
 
 57 
 
 56-9 
 
 4.0 
 
 17 
 
 116.7 
 
 8.2 
 
 77 
 
 176.6 
 
 12-3 
 
 37 
 
 2.36.4 
 
 16.5 
 
 97 
 
 296.3 
 
 20. 7 
 
 58 
 
 57-9 
 
 4.0 
 
 18 
 
 117.7 
 
 8.2 
 
 78 
 
 177.6 
 
 12.4 
 
 38 
 
 237-4 
 
 16. 6 
 
 98 
 
 297.3 
 
 20.8 
 
 59 
 
 58.9 
 
 4-1 
 
 ?9 
 
 118. 7 
 
 8.3 
 
 79 
 
 178.6 
 
 12-5 
 
 39 
 
 238.4 
 
 16.7 
 
 99 
 
 298.3 
 
 20.9 
 
 60 
 
 59-9 
 
 4.2 
 
 20 
 
 119-7 
 
 8.4 
 
 80 
 
 17976 
 
 12.6 
 
 40 
 
 239-4 
 
 16.7 
 
 300 
 
 299-3 
 
 20. 9 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 [For 86 Degrees. 
 
 117 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 5. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 I. O 
 
 0. I 
 
 61 
 
 60.8 
 
 5-3 
 
 121 
 
 1 20. 5 
 
 10.5 
 
 181 
 
 180.3 
 
 I S .8 
 
 2 4 I 
 
 240. 
 
 21. 
 
 2 
 
 2. O 
 
 0.2 
 
 62 
 
 61.8 
 
 5-4 
 
 22 
 
 121. 5 
 
 10. 6 
 
 82 
 
 181.3 
 
 15-9 
 
 42 
 
 2 4 I. 
 
 21. 1 
 
 3 
 
 3- 
 
 . 3 
 
 63 
 
 62.8 
 
 5.5 
 
 23 
 
 122.5 
 
 10.7 
 
 83 
 
 182.3 
 
 5-9 
 
 43 
 
 242. 
 
 21.2 
 
 4 
 
 4.0 
 
 o-3 
 
 64 
 
 63.8 
 
 5-6 
 
 24 
 
 123-5 
 
 10.8 
 
 84 
 
 183-3 
 
 16. o 
 
 44 
 
 243- 
 
 21.3 
 
 
 5. o 
 
 0.4 
 
 65 
 
 64.8 
 
 5-7 
 
 
 124.5 
 
 10. 9 
 
 85 
 
 184.3 
 
 16. i 
 
 45 
 
 244. 
 
 21.4 
 
 7 
 
 6. o 
 
 7.0 
 
 o. 6 
 
 66 
 
 67 
 
 a? 
 
 5-8 
 5-8 
 
 27 
 
 125-5 
 126. 5 
 
 II. 
 
 n. i 
 
 86 
 87 
 
 &.J 
 
 16.2 
 16.3 
 
 47 
 
 245- 
 246. 
 
 21.4 
 21.5 
 
 8 
 
 8.0 
 
 0.7 
 
 68 
 
 67-7 
 
 5-9 
 
 28 
 
 127.5 
 
 II. 2 
 
 88 
 
 187.3 
 
 16.4 
 
 48 
 
 247- 
 
 21.6 
 
 9 
 
 y. o 
 
 0.8 
 
 69 
 
 03. 7 
 
 6.0 
 
 29 
 
 128.5 
 
 II. 2 
 
 89 
 
 188.3 
 
 16.5 
 
 49 
 
 248. 
 
 21.7 
 
 IO 
 
 10. O 
 
 0.9 
 
 70 
 
 69.7 
 
 6. i 
 
 30 
 
 129.5 
 
 "3 
 
 90 
 
 189.3 
 
 16.6 
 
 5 
 
 249.0 
 
 21.8 
 
 n 
 
 II. O 
 
 . 
 
 71 
 
 70. 7 
 
 6.2 
 
 131 
 
 130.5 
 
 II.4 
 
 191 
 
 190.3 
 
 16. 6 
 
 251 
 
 250. o 
 
 21.9 
 
 12 
 
 12. O 
 
 .0 
 
 72 
 
 71-7 
 
 6-3 
 
 32 
 
 131. 5 
 
 ii. s 
 
 92 
 
 I9" 1 - 3 
 
 16. 7 
 
 52 
 
 251.0 
 
 22. O 
 
 13 
 
 13.0 
 
 . i 
 
 73 
 
 72.7 
 
 6.4 
 
 33 
 
 132.5 
 
 n. 6 
 
 93 
 
 192.3 
 
 16. 8 
 
 53 
 
 252.0 
 
 22. J 
 
 '4 
 
 13-9 
 
 . 2 
 
 74 
 
 73-7 
 
 6-4 
 
 34 
 
 133- 5 
 
 "7 
 
 94 
 
 '93-3 
 
 16. 9 
 
 54 
 
 253.0 
 
 22. I 
 
 '5 
 
 14.9 
 
 3 
 
 75 
 
 74-7 
 
 6.5 
 
 35 
 
 '34-5 
 
 ii. 8 
 
 95 
 
 194-3 
 
 17.0 
 
 55 
 
 254.0 
 
 22.2 
 
 16 
 
 15.9 
 
 4 
 
 76 
 
 75-7 
 
 6.6 
 
 36 
 
 3S-5 
 
 11.9 
 
 96 
 
 '95-3 
 
 17.1 
 
 5 6 
 
 255-0 
 
 22. 3 
 
 17 
 
 16.9 
 
 . 5 
 
 77 
 
 76.7 
 
 6-7 
 
 37 
 
 '36-S 
 
 11.9 
 
 97 
 
 196.3 
 
 17.2 
 
 57 
 
 256.0 
 
 22. 4 
 
 18 
 
 17-9 
 
 . 6 
 
 78 
 
 77-7 
 
 6.8 
 
 38 
 
 37-S 
 
 12. O 
 
 98 
 
 197.2 
 
 7-3 
 
 58 
 
 257.0 
 
 22.5 
 
 19 
 
 18.9 
 
 7 
 
 7Q 
 
 78.7 
 
 6.9 
 
 39 
 
 '38-5 
 
 12. I 
 
 99 
 
 198.2 
 
 '7-3 
 
 59 
 
 258.0 
 
 22. 6 
 
 20 
 
 19.9 
 
 7 
 
 80 
 
 79,7 
 
 7.0 
 
 40 
 
 '39-5 
 
 12. 2 
 
 200 
 
 199.2 
 
 17.4 
 
 60 
 
 259.0 
 
 22.7 
 
 21 
 
 20. 9 
 
 .8 
 
 81 
 
 80. 7 
 
 7- ' 
 
 141 
 
 140.5 
 
 12-3 
 
 201 
 
 200. 2 
 
 17-5 
 
 261 
 
 260. o 
 
 22. 7 
 
 22 
 
 21.9 
 
 9 
 
 82 
 
 81.7 
 
 7- * 
 
 42 
 
 141-5 
 
 I2. 4 
 
 O2 
 
 201.2 
 
 17.6 
 
 62 
 
 261. o 
 
 22.8 
 
 23 
 
 22.9 
 
 2. O 
 
 83 
 
 82.7 
 
 7-2 
 
 43 
 
 142-5 
 
 12.5 
 
 3 
 
 2O2. 2 
 
 17-7 
 
 63 
 
 262. o 
 
 22.9 
 
 2-1 
 
 23-9 
 
 2. I 
 
 84 
 
 83.7 
 
 7-3 
 
 44 
 
 '43-5 
 
 12.6 
 
 04 
 
 203. 2 
 
 17.8 
 
 64 
 
 263. o 
 
 23.0 
 
 25 
 
 24.9 
 
 2.2 
 
 85 
 
 84-7 
 
 7-4 
 
 45 
 
 144.4 
 
 12.6 
 
 05 
 
 204.2 
 
 17.9 
 
 6 5 
 
 264. o 
 
 23.1 
 
 |P 
 
 zo 
 
 25.9 
 
 2-3 
 
 86 
 
 85.7 
 
 7-5 
 
 46 
 
 145-4 
 
 12.7 
 
 OO 
 
 -205. 2 
 
 18. o 
 
 66 
 
 265. o 
 
 23-2 
 
 27 
 
 26.9 
 
 2-4 
 
 87 
 
 86. 7 
 
 7.6 
 
 47 
 
 146.4 
 
 12.8 
 
 07 
 
 2OO. 2 
 
 18.0 
 
 67 
 
 266. o 
 
 23-3 
 
 23 
 
 27.9 
 
 2.4 
 
 8S 
 
 87.7 
 
 7-7 
 
 48 
 
 147.4 
 
 12.9 
 
 08 
 
 207. 2 
 
 18. i 
 
 68 
 
 267.0 
 
 23-4 
 
 29 
 
 28.9 
 
 2.5 
 
 89 
 
 88. 7 
 
 7-8 
 
 49 
 
 148.4 
 
 13.0 
 
 09 
 
 208.2 
 
 18.2 
 
 69 
 
 268.0 
 
 23.4 
 
 3 
 
 29.9 
 
 2.6 
 
 90 
 
 89.7 
 
 7.8 
 
 5 
 
 149.4 
 
 I3-I 
 
 IO 
 
 209. 2 
 
 iS-3 
 
 70 
 
 269. o 
 
 23-5 
 
 31 
 
 30.9 
 
 2.7 
 
 9' 
 
 90.7 
 
 7-9 
 
 151 
 
 150.4 
 
 "3-2 
 
 211 
 
 210. 2 
 
 18.4 
 
 271 
 
 270. o 
 
 23.6 
 
 33 
 
 3'-9 
 
 2.8 
 
 92 
 
 91.6 
 
 8.0 
 
 52 
 
 151.4 
 
 13-2 
 
 12 
 
 211. 2 
 
 18.5 
 
 72 
 
 271. o 
 
 23.7 
 
 33 
 
 32-9 
 
 2.9 
 
 93 
 
 92. 6 
 
 8.1 
 
 53 
 
 152.4 
 
 13. 3 
 
 13 
 
 212.2 
 
 18,6 
 
 73 
 
 272.0 
 
 23-8 
 
 34 
 
 33-9 
 
 3-0 
 
 94 
 
 93-6 
 
 8.2 
 
 54 
 
 153-4 
 
 3-4 
 
 14 
 
 213.2 
 
 18.7 
 
 74 
 
 273.0 
 
 23-9 
 
 35 
 
 34-9 
 
 3- 1 
 
 95 
 
 94-6 
 
 8-3 
 
 55 
 
 154.4 
 
 13-5 
 
 15 
 
 214.2 
 
 18.7 
 
 75 
 
 274.0 
 
 24.0 
 
 
 35-9 
 
 3- i 
 
 96 
 
 95-6 
 
 8.4 
 
 56 
 
 155-4 
 
 13-6 
 
 16 
 
 215.2 
 
 18.8 
 
 76 
 
 274.9 
 
 24.1 
 
 37 
 
 36.9 
 
 3-2 
 
 97 
 
 96. 6 
 
 8-5 
 
 57 
 
 156.4 
 
 13-7 
 
 17 
 
 2l6. 2 
 
 18.9 
 
 77 
 
 275-9 
 
 24. I 
 
 38 
 
 37-9 
 
 3-3 
 
 98 
 
 97-6 
 
 8-5 
 
 58 
 
 157-4 
 
 13-8 
 
 18 
 
 217.2 
 
 19.0 
 
 78 
 
 276.9 
 
 24,2 
 
 39 
 
 
 3-4 
 
 99 
 
 98.6 
 
 8.6 
 
 59 
 
 158.4 
 
 '3-9 
 
 19 
 
 218.2 
 
 19.1 
 
 79 
 
 277-9 
 
 24-3 
 
 40 
 
 59.8 
 
 3-5 
 
 100 
 
 99.6 
 
 8.7 
 
 60 
 
 '59- 4 
 
 J3-9 
 
 20 
 
 219. 2 
 
 19.2 
 
 So 
 
 278.9 
 
 24-4 
 
 41 
 
 40.8 
 
 3-6 
 
 101 
 
 100. 6 
 
 .8 
 
 161 
 
 160.4 
 
 14. o 
 
 221 
 
 22O. 2 
 
 19-3 
 
 281 
 
 279.9 
 
 24.5 
 
 42 
 
 41.8 
 
 3-7 
 
 02 
 
 101.6 
 
 8.9 
 
 62 
 
 161.4 
 
 14.1 
 
 22 
 
 221.2 
 
 19-3 
 
 82 
 
 280. 9 
 
 24.6 
 
 43 
 
 42.8 
 
 3-7 
 
 3 
 
 102. C 
 
 9.0 
 
 63 
 
 162.4 
 
 14.2 
 
 23 
 
 222.2 
 
 19.4 
 
 83 
 
 281.9 
 
 24. 7 
 
 44 
 
 43-8 
 
 3-8 
 
 4 
 
 103. 6 
 
 9.1 
 
 64 
 
 163.4 
 
 14-3 
 
 24 
 
 223. 
 
 19-5 
 
 84 
 
 282.9 
 
 24.8 
 
 45 
 
 44.8 
 
 3-9 
 
 5 
 
 104. 6 
 
 9-2 
 
 65 
 
 164.4 
 
 14.4 
 
 2 5 
 
 224. 
 
 19. 6 
 
 85 
 
 283.9 
 
 24.8 
 
 4 6 
 
 45-8 
 
 4.0 
 
 oo 
 
 105. 6 
 
 9-2 
 
 66 
 
 165.4 
 
 14- 5 
 
 26 
 
 225. 
 
 I 9 .7 
 
 86 
 
 284.9 
 
 24.9 
 
 47 
 
 46.8 
 
 4-1 
 
 07 
 
 1 06. 6 
 
 9-3 
 
 67 
 
 166.4 
 
 14.6 
 
 2 7 
 
 226. 
 
 19.8 
 
 ll 
 
 285.9 
 
 25.0 
 
 48 
 49 
 
 47-8 
 48.8 
 
 4.2 
 4-3 
 
 08 
 
 09 
 
 107.6 
 
 108.6 
 
 9-4 
 9-5 
 
 68 
 69 
 
 167.4 
 168.4 
 
 14.6 
 14.7 
 
 28 
 
 29 
 
 227. 
 228. 
 
 19.9 
 20. o 
 
 88 
 89 
 
 286.9 
 
 287.9 
 
 25.1 
 25.2 
 
 
 49.8 
 
 4-4 
 
 IO 
 
 109.6 
 
 9.6 
 
 70 
 
 169.4 
 
 14.8 
 
 30 
 
 229. 
 
 20. o 
 
 9 
 
 288,9 
 
 25-3 
 
 Si 
 
 50.8 
 
 4-4 
 
 111 
 
 no. 6 
 
 9-7 
 
 171 
 
 170.3 
 
 14.9 
 
 231 
 
 230. 
 
 20. i 
 
 291 
 
 289.9 
 
 25.4 
 
 52 
 
 51.3 
 
 4-5 
 
 12 
 
 in. 6 
 
 9-8 
 
 7 2 
 
 I7I.3 
 
 15.0 
 
 3 2 
 
 23L 
 
 2O. 2 
 
 92 
 
 290.9 
 
 25-4 
 
 S3 
 
 52.8 
 
 4.6 
 
 13 
 
 112. 6 
 
 9.8 
 
 73 
 
 172.3 
 
 15. I 
 
 33 
 
 232. 
 
 20.3 
 
 93 
 
 291.9 
 
 2 5- 5 
 
 54 
 
 53-8 
 
 4' 7 
 
 H 
 
 113.6 
 
 9-9 
 
 74 
 
 173-3 
 
 15-2 
 
 34 
 
 233- 
 
 2O.4 
 
 94 
 
 202. 9 
 
 25.6 
 
 55 
 
 S-t-3 
 
 4.8 
 
 IS 
 
 114.6 
 
 10. O 
 
 75 
 
 174-3 
 
 >5-3 
 
 35 
 
 234- 
 
 20. 5 
 
 95 
 
 293-9 
 
 25. 7 
 
 56 
 17 
 
 55.8 
 
 55.3 
 
 4-9 
 
 16 
 17 
 
 115.6 
 116.6 
 
 10. I 
 
 10.2 
 
 70 
 
 n 
 
 175.3 
 176.3 
 
 iS-3 
 15.4 
 
 36 
 
 235- 
 
 20. 6 
 20.7 
 
 97 
 
 294.9 
 295.9 
 
 25.8 
 25.9 
 
 58 
 
 57-8 
 
 j. i 
 
 18 
 
 117.6 
 
 10.3 
 
 7* 
 
 177-3 
 
 15-5 
 
 3 
 
 237. 
 
 20.7 
 
 9 
 
 296.9 
 
 26.0 
 
 59 
 
 58.8 
 
 5- ' 
 
 19 
 
 118.5 
 
 10.4 
 
 
 178.3 
 
 15.6 
 
 39 
 
 2 3 8. 
 
 20..8 
 
 99 
 
 297-9 
 
 26. i 
 
 60 
 
 59.8 
 
 5-2 
 
 20 
 
 >i9-5 
 
 10.5 
 
 & 
 
 179-3 
 
 15-7 
 
 40 
 
 239. 
 
 20. 9 
 
 300 
 
 298.9 
 
 26. i 
 
 Dbt. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lit. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 85 Degrees. 
 
 110 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR G. 
 
 Ulst. 
 
 Lit. 
 
 Dep. 
 
 Dlst 
 
 LaL 
 
 Dep. 
 
 DIsL 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 DisL 
 
 LaL 
 
 Dep. 
 
 I 
 
 I. O 
 
 O. I 
 
 61 
 
 60. 7 
 
 6.4 
 
 121 
 
 120.3 
 
 12.6 
 
 181 
 
 180.0 
 
 18.9 
 
 241 
 
 239-7 
 
 25.2 
 
 2 
 
 2. 
 
 o. 2 
 
 62 
 
 61.7 
 
 6-5 
 
 22 
 
 121.3 
 
 12.8 
 
 82 
 
 181.0 
 
 19. o 
 
 42 
 
 240. 7 
 
 25-3 
 
 3 
 
 3.0 
 
 o-3 
 
 63 
 
 62.7 
 
 6.8 
 
 23 
 
 122.3 
 
 12.9 
 
 83 
 
 182.0 
 
 19. I 
 
 43 
 
 241.7 
 
 25-4 
 
 4 
 
 4-0 
 
 0.4 
 
 64 
 
 63.6 
 
 6.7 
 
 24 
 
 '23.3 
 
 13-0 
 
 84 
 
 183. o 
 
 19.2 
 
 44 
 
 242. 7 
 
 25-5 
 
 I 
 
 7 
 
 fr 
 
 6.0 
 7.0 
 
 o. 5 
 o. 6 
 o- 7 
 
 3 
 
 67 
 
 64.6 
 65.6 
 66.6 
 
 6.8 
 6.9 
 7.0 
 
 11 
 27 
 
 124. 3 
 
 125.3 
 126. 3 
 
 I3-I 
 13-2 
 13-3 
 
 8 5 
 86 
 
 S7 
 
 184.0 
 185.0 
 1 86. 
 
 19-3 
 19.4 
 
 '9-5 
 
 45 
 46 
 
 47 
 
 243- 7 
 244. 7 
 245.6 
 
 25.6 
 
 25-7 
 25.8 
 
 8 
 
 8.0 
 
 o.S 
 
 68 
 
 67.6 
 
 7- i 
 
 28 
 
 127-3 
 
 I3.4 
 
 88 
 
 187.0 
 
 19-7 
 
 4 
 
 246. 6 
 
 25.9 
 
 9 
 
 9.0 
 
 0.9 
 
 bg 
 
 68.0 
 
 7-2 
 
 29 
 
 128.3 
 
 13-5 
 
 89 
 
 iSS. o 
 
 19. 8 
 
 49 
 
 247.6 
 
 26. o 
 
 10 
 
 9-9 
 
 I. 
 
 7 
 
 69.6 
 
 7-3 
 
 3 
 
 129-3 
 
 13-6 
 
 90 
 
 189. o 
 
 19.9 
 
 5 
 
 248.6 
 
 26. 1 
 
 II 
 
 10. 9 
 
 . I 
 
 7" 
 
 70. 6 
 
 7-4 
 
 131 
 
 i3 -3 
 
 13-7 
 
 191 
 
 190. o 
 
 20. o 
 
 251 
 
 249.6 
 
 26. 2 
 
 12 
 
 11.9 
 
 3 
 
 72 
 
 71.6 
 
 7-5 
 
 32 
 
 I3I.3 
 
 13-8 
 
 92 
 
 190.9 
 
 20. I 
 
 52 
 
 250. 6 
 
 26.3 
 
 13 
 
 12.9 
 
 4 
 
 73 
 
 72.6 
 
 7.6 
 
 33 
 
 132-3 
 
 13-9 
 
 93 
 
 191.9 
 
 20. 2 
 
 53 
 
 251. 6 
 
 26. 4 
 
 14 
 
 '3-9 
 
 
 74 
 
 73-6 
 
 7- 7 
 
 34 
 
 I33.3 
 
 14. o 
 
 94 
 
 192.9 
 
 20-3 
 
 54 
 
 252. 6 
 
 26.6 
 
 15 
 
 14.9 
 
 . 6 
 
 75 
 
 74.6 
 
 7-8 
 
 35 
 
 134-3 
 
 14. 1 
 
 95 
 
 193-9 
 
 20. 4 
 
 55 
 
 253-6 
 
 26.7 
 
 16 
 
 '5-9 
 
 7 
 
 T 6 
 
 75-6 
 
 7-9 
 
 36 
 
 135-3 
 
 14.2 
 
 96 
 
 194.9 
 
 20.5 
 
 56 
 
 254-6 
 
 26.8 
 
 17 
 
 16. 9 
 
 .8 
 
 77 
 
 76.6 
 
 8. o 
 
 37 
 
 136.2 
 
 14.3 
 
 97 
 
 195-9 
 
 20. 6 
 
 57 
 
 255-6 
 
 26. 9 
 
 18 
 
 '7-9 
 
 9 
 
 73 
 
 77-6 
 
 8.2 
 
 3 
 
 137-2 
 
 14.4 
 
 98 
 
 196.9 
 
 20.7 
 
 58 
 
 256. 6 
 
 27.0 
 
 19 
 
 18.9 
 
 2. 
 
 79 
 
 78.6 
 
 8-3 
 
 39 
 
 138.2 
 
 14. 5 
 
 99 
 
 197.9 
 
 20.8 
 
 59 
 
 257.6 
 
 27.1 
 
 20 
 
 19. 9 
 
 2. I 
 
 So 
 
 79-6 
 
 8.4 
 
 40 
 
 139-2 
 
 14.6 
 
 200 
 
 198.9 
 
 20. 9 
 
 60 
 
 258.6 
 
 27.2 
 
 21 
 
 20. 9 
 
 2. 2 
 
 Si 
 
 80.6. 
 
 8-5 
 
 141 
 
 140. 2 
 
 14- 7 
 
 201 
 
 199.9 
 
 21. 
 
 261 
 
 259.6 
 
 27-3 
 
 22 
 
 21.9 
 
 2-3 
 
 82 
 
 81.6 
 
 8.6 
 
 42 
 
 141. 2 
 
 14.8 
 
 02 
 
 200. 9 
 
 21. I 
 
 62 
 
 260. 6 
 
 27.4 
 
 23 
 
 22.9 
 
 2-4 
 
 83 
 
 82-5 
 
 8.7 
 
 43 
 
 142.3 
 
 14.9 
 
 3 
 
 201. 9 
 
 21. 2 
 
 63 
 
 261.6 
 
 27-5 
 
 24 
 
 23-9 
 
 2. 5 
 
 8 4 
 
 83.5 
 
 8.8 
 
 44 
 
 143-2 
 
 i5-i 
 
 04 
 
 202. 9 
 
 21-3 
 
 64 
 
 262.6 
 
 27. 6 
 
 25 
 
 24-9 
 
 2.6 
 
 85 
 
 84.5 
 
 8.9 
 
 45 
 
 144.2 
 
 IS. 2 
 
 5 
 
 203.9 
 
 21.4 
 
 65 
 
 263-5 
 
 27.7 
 
 26 
 
 25.9 
 
 2- 7 
 
 86 
 
 85.5 
 
 9.0 
 
 46 
 
 145.2 
 
 I5.3 
 
 06 
 
 204.9 
 
 21. 5 
 
 66 
 
 264.5 
 
 27-8 
 
 27 
 
 26.9 
 
 2.8 
 
 87 
 
 86.5 
 
 9.1 
 
 47 
 
 146. 2 
 
 15.4 
 
 07 
 
 205.9 
 
 21. 6 
 
 67 
 
 265-5 
 
 27.9 
 
 28 
 
 27.8 
 
 2.9 
 
 88 
 
 87.5 
 
 9- 2 
 
 48 
 
 147-2 
 
 15- 5 
 
 08 
 
 206. 9 
 
 21.7 
 
 68 
 
 266. 5 
 
 28.0 
 
 19 
 
 28:8 
 
 3- 
 
 89 
 
 88.5 
 
 9-3 
 
 49 
 
 148.2 
 
 15.6 
 
 9 
 
 207.9 
 
 21.8 
 
 69 
 
 267.5 
 
 28. i 
 
 3 
 
 29.8 
 
 3-i 
 
 90 
 
 89-5 
 
 9-4 
 
 5 
 
 149.2 
 
 15.7 
 
 10 
 
 208.8 
 
 22. 
 
 70 
 
 268.5 
 
 28.2 
 
 3 ! 
 
 30.8 
 
 3-2 
 
 9" 
 
 90.5 
 
 9-5 
 
 151 
 
 150. 2 
 
 15.8 
 
 211 
 
 209.8 
 
 22. I 
 
 271 
 
 269.5 
 
 2*. 3 
 
 32 
 
 3>.8 
 
 3-3 
 
 92 
 
 91-5 
 
 9.6 
 
 S 2 
 
 I5I.2 
 
 15-9 
 
 12 
 
 210.8 
 
 22. 2 
 
 72 
 
 270.5 
 
 28. 4 
 
 ' 33 
 
 32.8 
 
 3-4 
 
 93 
 
 92.5 
 
 9- 7 
 
 53 
 
 152.2 
 
 16. o 
 
 13 
 
 211. 8 
 
 22.3 
 
 73 
 
 271.5 
 
 28.5 
 
 34 
 
 33-8 
 
 3- 6 
 
 94 
 
 93-5 
 
 9.8 
 
 54 
 
 153-2 
 
 16. I 
 
 H 
 
 212.8 
 
 22.4 
 
 74 
 
 272.5 
 
 28. 6 
 
 35 
 
 34-8 
 
 3-7 
 
 95 
 
 94-5 
 
 9-9 
 
 55 
 
 154-2 
 
 16. 2 
 
 15 
 
 213.8 
 
 22. 5 
 
 75 
 
 273-5 
 
 28.7 
 
 36 
 
 35-8 
 
 3-8 
 
 96 
 
 95-5 
 
 10. O 
 
 56 
 
 155- 
 
 16.3 
 
 16 
 
 214.8 
 
 22.6 
 
 76 
 
 274.5 
 
 28.8 
 
 37 
 
 36.8 
 
 3-9 
 
 97 
 
 96.5 
 
 10. I 
 
 57 
 
 156. 
 
 16.4 
 
 17 
 
 215.8 
 
 22.7 
 
 77 
 
 275-5 
 
 29.0 
 
 3 
 
 37-8 
 
 4.0 
 
 98 
 
 97-5 
 
 10.2 
 
 5 
 
 157- 
 
 16.5 
 
 18 
 
 216.8 
 
 22.8 
 
 78 
 
 276-5 
 
 29. I 
 
 39 
 40 
 
 38.8 
 39-8 
 
 4- I 
 4-2 
 
 99 
 
 loo 
 
 98.5 
 99-5 
 
 10-3 
 
 10-5 
 
 59 
 
 60 
 
 I 5 S. 
 
 '59- 
 
 16. 6 
 16.7 
 
 19 
 
 20 
 
 217.8 
 218.8 
 
 22. 9 
 
 23. o 
 
 B 
 
 277-5 
 278.5 
 
 29. 2 
 29-3 
 
 41 
 
 40.5 
 
 4-3 
 
 101 
 
 100. 4 
 
 10. 6 
 
 161 
 
 1 60. 
 
 16.8 
 
 221 
 
 219.8 
 
 23-1 
 
 281 
 
 279-5 
 
 20. 4 
 
 42 
 
 41.8 
 
 4-4 
 
 02 
 
 101. 4 
 
 10.7 
 
 62 
 
 161. 
 
 16. 9 
 
 22 
 
 220.8 
 
 23.2 
 
 82 
 
 28,0.5 
 
 29-5 
 
 43 
 
 42.8 
 
 4-5 
 
 3 
 
 102.4 
 
 10. 8 
 
 63 
 
 162. 
 
 17.0 
 
 23 
 
 221.8 
 
 23-3 
 
 83 
 
 281.4 
 
 29. 6 
 
 44 
 
 43-8 
 
 4-6 
 
 04 
 
 103-4 
 
 10.9 
 
 64 
 
 163. 
 
 17. i 
 
 24 
 
 222.8 
 
 23-4 
 
 84 
 
 282.4 
 
 29-7 
 
 45 
 
 44-8 
 
 4-7 
 
 5 
 
 104,4 
 
 II. 
 
 65 
 
 164. 
 
 17.2 
 
 25 
 
 223.8 
 
 23.5 
 
 85 
 
 283.4 
 
 29.8 
 
 46 
 
 45-7 
 
 4-8 
 
 06 
 
 105.4 
 
 II. I 
 
 66 
 
 165. 
 
 17.4 
 
 26 
 
 224.8 
 
 23. 6 
 
 86 
 
 284.4 
 
 29.9 
 
 47 
 
 46.7 
 
 4-9 
 
 7 
 
 loo. 4 
 
 II. 2 
 
 6? 
 
 1 66. 
 
 17-5 
 
 27 
 
 225. 8 
 
 23-7 
 
 87 
 
 285.4 
 
 30. o 
 
 48 
 
 47-7 
 
 5- 
 
 08 
 
 107.4 
 
 II.3 
 
 68 
 
 167. 
 
 17.6 
 
 28 
 
 226.8 
 
 23-8 
 
 88 
 
 286. 4 
 
 30.1 
 
 49 
 
 48.7 
 
 5- ' 
 
 09 
 
 108.4 
 
 1 1. 4 
 
 69 
 
 1 68. 
 
 17-7 
 
 29 
 
 227.7 
 
 23-9 
 
 89 
 
 287.4 
 
 30.2 
 
 5 
 
 49- 7 
 
 5-2 
 
 10 
 
 109 4 
 
 11.5 
 
 70 
 
 169. 
 
 17.8 
 
 3 
 
 228. 7 
 
 24.0 
 
 90 
 
 288.4 
 
 3-3 
 
 5' 
 
 5-7 
 
 5-3 
 
 in 
 
 110.4 
 
 n. 6 
 
 171 
 
 170. 
 
 17-9 
 
 231 
 
 229. 7 
 
 24.1 
 
 291 
 
 289.4 
 
 3-4 
 
 52 
 
 5'- 7 
 
 5-4 
 
 12 
 
 ill. 4 
 
 ii. 7 
 
 72 
 
 171. 
 
 18. o 
 
 S 2 
 
 230.7 
 
 24-3 
 
 92 
 
 290.4 
 
 30.5 
 
 53 
 
 52-7 
 
 5-5 
 
 13 
 
 112.4 
 
 n. 8 
 
 73 
 
 172. 
 
 18. i 
 
 33 
 
 231.7 
 
 24-4 
 
 93 
 
 291.4 
 
 30 6 
 
 54 
 
 53-7 
 
 5-6 
 
 14 
 
 "3-4 
 
 11.9 
 
 74 
 
 173-0 
 
 l&.Z 
 
 34 
 
 232.7 
 
 24-5 
 
 94 
 
 292.4 
 
 30. 7 
 
 55 
 
 54-7 
 
 5-7 
 
 15 
 
 "4-4 
 
 12. 
 
 75 
 
 174.0 
 
 18.3 
 
 35 
 
 233.7 
 
 24. 6 
 
 95 
 
 293-4 
 
 30.8 
 
 56 
 
 55-7 
 
 5-9 
 
 16 
 
 115.4 
 
 12. I 
 
 76 
 
 175.0 
 
 18.4 
 
 3 
 
 234- 7 
 
 24-7 
 
 96 
 
 294-4 
 
 3-9 
 
 57 
 
 56.7 
 
 6. o 
 
 7 
 
 116.4 
 
 12. 2 
 
 77 
 
 176.0 
 
 18.5 
 
 37 
 
 235-7 
 
 24-8 
 
 97 
 
 295-4 
 
 31.0 
 
 58 
 
 57-7 
 
 6.1 
 
 iB 
 
 117.4 
 
 12-3 
 
 78 
 
 177.0 
 
 18. 6 
 
 38 
 
 236.7 
 
 24,9 
 
 98 
 
 296.4 
 
 31-' 
 
 g 
 
 58.7 
 59.7 
 
 6.2 
 
 6-3 
 
 19 
 
 20 
 
 118.3 
 >i9-3 
 
 12.4 
 
 12.5 
 
 e 
 
 178.0 
 179.0 
 
 IS. 7 
 
 18,8 
 
 39 
 40 
 
 237.7 
 238.7 
 
 25.0 
 25.1 
 
 99 
 300 
 
 297.4 
 298.4 
 
 3'-3 
 3'-4 
 
 DUt 
 
 Dep. 
 
 Lit. 
 
 Dlit. 
 
 Dep. 
 
 Lit. 
 
 Diet. 
 
 Dep. 
 
 Lac. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lit 
 
 [For 84 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 7. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 I.O 
 
 o. I 
 
 6l 
 
 6o. S 
 
 7-4 
 
 121 
 
 120. 
 
 14-7 
 
 181 
 
 79- 7 
 
 22. I 
 
 241 
 
 239-2 
 
 29.4 
 
 2 
 
 2. O 
 
 0. 2 
 
 62 
 
 61.5 
 
 7-6 
 
 22 
 
 121. 
 
 14.9 
 
 82 
 
 180.6 
 
 22.2 
 
 42 
 
 240. 2 
 
 29.5 
 
 3 
 
 3-0 
 
 0.4 
 
 63 
 
 62.5 
 
 7-7 
 
 23 
 
 122. 
 
 15.0 
 
 83 
 
 181.6 
 
 22-3 
 
 43 
 
 241. 2 
 
 29. 6 
 
 4 
 
 4.0 
 
 0.5 
 
 64 
 
 63.5 
 
 7-8 
 
 24 
 
 '23- 
 
 I5.I 
 
 84 
 
 182.6 
 
 22.4 
 
 44 
 
 242. 2 
 
 29.7 
 
 5 
 
 5- 
 
 0.6 
 
 65 
 
 64.5 
 
 7-9 
 
 25 
 
 124. 
 
 15.2 
 
 85 
 
 183.6 
 
 22.5 
 
 45 
 
 243-2 
 
 29-9 
 
 6 
 
 6.0 
 
 0-7 
 
 66 
 
 65-5 
 
 8.0 
 
 26 
 
 125. 
 
 15.4 
 
 86 
 
 184 6 
 
 22.7 
 
 46 
 
 244.2 
 
 30.0 
 
 7 
 
 6.9 
 
 0.9 
 
 67 
 
 66.5 
 
 8.2 
 
 27 
 
 126. 
 
 '5-5 
 
 87 
 
 185.6 
 
 22.8 
 
 47 
 
 245. 2 
 
 30.1 
 
 8 
 
 7-9 
 
 I. 
 
 68 
 
 67.5 
 
 8-3 
 
 28 
 
 127. o 
 
 '5-6 
 
 88 
 
 186. 6 
 
 22.9 
 
 48 
 
 246.2 
 
 30. 2 
 
 9 
 
 8.9 
 
 I. I 
 
 69 
 
 68.5 
 
 8.4 
 
 29 
 
 128.0 
 
 '5-7 
 
 89 
 
 187.6 
 
 23.0 
 
 49 
 
 2 47 . 
 
 3-3 
 
 10 
 
 9-9 
 
 I. 2 
 
 70 
 
 69.5 
 
 8-5 
 
 30 
 
 129. o 
 
 15.8 
 
 90 
 
 188.6 
 
 23.2 
 
 So 
 
 248. 
 
 30-5 
 
 ii 
 
 10. 9 
 
 '3 
 
 7' 
 
 70.5 
 
 8.7 
 
 
 130.0 
 
 16. o 
 
 191 
 
 189.6 
 
 23-3 
 
 251 
 
 2 49 . 
 
 30.6 
 
 12 
 
 11.9 
 
 'I 
 
 72 
 
 7'-5 
 
 8.8 
 
 32 
 
 131.0 
 
 16. i 
 
 92 
 
 190.6 
 
 23-4 
 
 
 250. 
 
 3-7 
 
 '3 
 
 12.9 
 
 1.6 
 
 73 
 
 72.5 
 
 8.9 
 
 33 
 
 132.0 
 
 16. 2 
 
 93 
 
 191. 6 
 
 23-5 
 
 53 
 
 251. 
 
 30.8 
 
 '4 
 
 '3-9 
 
 '-7 
 
 74 
 
 73-4 
 
 9.0 
 
 34 
 
 '33-o 
 
 '6-3 
 
 94 
 
 192. 6 
 
 2 3 .6- 
 
 54 
 
 252. 
 
 31.0 
 
 '5 
 
 14.9 
 
 1.8 
 
 75 
 
 74-4 
 
 9-' 
 
 35 
 
 '34-0 
 
 16.5 
 
 95 
 
 '93-5 
 
 23-8 
 
 55 
 
 253- 
 
 
 16 
 
 15.9 
 
 1.9 
 
 76 
 
 75-4 
 
 9-3 
 
 36 
 
 '35-o 
 
 16.6 
 
 96 
 
 '94-5 
 
 23-9 
 
 56 
 
 254. 
 
 31.2 
 
 '7 
 
 16.9 
 
 2. I 
 
 77 
 
 76.4 
 
 9-4 
 
 37 
 
 136. o 
 
 16.7 
 
 97 
 
 '95-5 
 
 24.0 
 
 57 
 
 255- 
 
 
 18 
 
 '7-9 
 
 2.2 
 
 78 
 
 77-4 
 
 9-5 
 
 38 
 
 '37-0 
 
 16.8 
 
 98 
 
 196.5 
 
 24. I 
 
 58 
 
 2 5 6. 
 
 31-4 
 
 '9 
 
 18.9 
 
 2-3 
 
 79 
 
 78.4 
 
 9-6 
 
 39 
 
 138.0 
 
 16. 9 
 
 99 
 
 '97-5 
 
 24-3 
 
 59 
 
 257- 
 
 3'-6 
 
 20 
 
 19.9 
 
 2.4 
 
 80 
 
 79-4 
 
 9-7 
 
 40 
 
 139.0 
 
 17. ' 
 
 . 200 
 
 198.5 
 
 24.4 
 
 60 
 
 2 5 8.. 
 
 3'-7 
 
 21 
 
 20.8 
 
 2.6 
 
 81 
 
 80. 4 
 
 9-9 
 
 141 
 
 '39-9 
 
 17.2 
 
 20 1 
 
 >99-5 
 
 24-5 
 
 261 
 
 259.1. 
 
 3'- 8 
 
 22 
 
 21.8 
 
 2-7 
 
 82 
 
 81.4 
 
 10. o 
 
 42 
 
 140.9 
 
 '7-3 
 
 02 
 
 200. 5 
 
 24. 6 
 
 62 
 
 26o.O 
 
 3'-9 
 
 23 
 
 22.8 
 
 2.8 
 
 83 
 
 82.4 
 
 10. I 
 
 43 
 
 141.9 
 
 '7-4 
 
 3 
 
 201.5 
 
 24-7 
 
 63 
 
 26l.O 
 
 32-1 
 
 24 
 
 23.8 
 
 2.9 
 
 84 
 
 83.4 
 
 10.2 
 
 44 
 
 142.9 
 
 '7-5 
 
 04 
 
 202. 5 
 
 24.9 
 
 64 
 
 262.O 
 
 32-2 
 
 25 
 
 24.8 
 
 3- 
 
 85 
 
 84.4 
 
 10.4 
 
 45 
 
 '43-9 
 
 '7-7 
 
 5 
 
 203.5 
 
 25.0 
 
 65 
 
 263.0 
 
 32.3 
 
 26 
 
 25.8 
 
 3-2 
 
 86 
 
 85.4 
 
 10.5 
 
 46 
 
 144.9 
 
 '7-8 
 
 06 
 
 204.5 
 
 25.1 
 
 66 
 
 264. o 
 
 32-4 
 
 11 
 
 26.8 
 27.8 
 
 3-3 
 3-4 
 
 87 
 88 
 
 86.4 
 87-3 
 
 10. 6 
 
 47 
 48 
 
 '45-9 
 146.9 
 
 '7-9 
 18.0 
 
 2 
 
 205.5 
 206. 4 
 
 25.2 
 25-3 
 
 67 
 68 
 
 265.0 
 
 266. o 
 
 32.5 
 32-7 
 
 29 
 
 28.8 
 
 3-5 
 
 89 
 
 88.3 
 
 10.8 
 
 49 
 
 '47-9 
 
 18. 2 
 
 09 
 
 207.4 
 
 25-5 
 
 69 
 
 267.0 
 
 32-8 
 
 3 
 
 29.8 
 
 3-7 
 
 90 
 
 89.3 
 
 II. 
 
 5 
 
 148.9 
 
 18.3 
 
 10 
 
 208.4 
 
 25.6 
 
 70 
 
 268.0 
 
 32-9 
 
 3' 
 
 30.8 
 
 3-8 
 
 9' 
 
 90.3 
 
 II. i 
 
 '5' 
 
 149.9 
 
 18.4 
 
 211 
 
 209.4 
 
 25-7 
 
 271 
 
 269.0 
 
 33- 
 
 
 31-8 
 
 3-9 
 
 92 
 
 9'- 3 
 
 II. 2 
 
 52 
 
 150.9 
 
 18.5 
 
 12 
 
 210. 4 
 
 25.8 
 
 72 
 
 27O.O 
 
 33-1 
 
 33 
 
 32.8 
 
 4.0 
 
 93 
 
 92-3 
 
 "3 
 
 53 
 
 151.9 
 
 18. 6 
 
 '3 
 
 211. 4 
 
 26.0 
 
 73 
 
 271.0 
 
 33-3 
 
 34 
 
 33-7 
 
 4.1 
 
 94 
 
 93-3 
 
 11.5 
 
 54 
 
 152.9 
 
 1 8. 8 
 
 '4 
 
 212.4 
 
 26.1 
 
 74 
 
 272.O 
 
 33-4 
 
 35 
 
 34-7 
 
 4-3 
 
 95 
 
 94-3 
 
 u.6 
 
 55 
 
 '53-8 
 
 18.9 
 
 15 
 
 213-4 
 
 26.2 
 
 75 
 
 273-0 
 
 33-5 
 
 36 
 
 35-7 
 
 4-4 
 
 96 
 
 95-3 
 
 M. 7 
 
 56 
 
 '54-8 
 
 19. o 
 
 1 6 
 
 214.4 
 
 26. 3 
 
 I 6 
 
 273-9 
 
 33-6 
 
 37 
 
 36.7 
 
 4-5 
 
 97 
 
 
 II. 8 
 
 57 
 
 155.8 
 
 19.' 
 
 '7 
 
 215.4 
 
 26.4 
 
 n 
 
 274-9 
 
 33-8 
 
 38 
 
 37-7 
 
 4.6 
 
 98 
 
 97-3 
 
 11.9 
 
 58 
 
 156.8 
 
 '9-3 
 
 18 
 
 216. 4 
 
 26.6 
 
 78 
 
 275-9 
 
 33-9 
 
 39 
 
 38.7 
 
 4.8 
 
 99 
 
 98-3 
 
 12. I 
 
 59 
 
 '57-8 
 
 19.4 
 
 '9 
 
 217.4 
 
 26.7 
 
 79 
 
 276.9 
 
 34-.0 
 
 40 
 
 39-7 
 
 4-9 
 
 100 
 
 99-3 
 
 12. 2 
 
 60 
 
 158.8 
 
 '9-5 
 
 20 
 
 218.4 
 
 26.8 
 
 80 
 
 277.9 
 
 34-1 
 
 4' 
 
 40. 7 
 
 5- 
 
 IOI 
 
 100. 2 
 
 12-3 
 
 161 
 
 139-8 
 
 19. 6 
 
 221 
 
 219.4 
 
 26. 9 
 
 281 
 
 278.9 
 
 34-2 
 
 42 
 
 41.7 
 
 S- 1 
 
 02 
 
 IOI. 2 
 
 12.4 
 
 62 
 
 160. 8 
 
 '9-7 
 
 22 
 
 220. 3 
 
 27-1 
 
 82 
 
 279-9 
 
 34-4 
 
 43 
 
 42.7 
 
 5-2 
 
 03 
 
 102.2 
 
 12.6 
 
 63 
 
 161.8 
 
 19.9 
 
 23 
 
 221. 3 
 
 27.2 
 
 83 
 
 280.9 
 
 34-S 
 
 44 
 
 43-7 
 
 5-4 
 
 4 
 
 103. 2 
 
 '2-7 
 
 64 
 
 162.8 
 
 20. o 
 
 -24 
 
 222.3 
 
 27-3 
 
 84 
 
 281.9 
 
 34-0 
 
 45 
 
 44- 7 
 
 5-5 
 
 5 
 
 104. 2 
 
 12.8 
 
 65 
 
 163.8 
 
 20. I 
 
 25 
 
 223.3 
 
 27.4 
 
 85 
 
 282.9 
 
 34-7 
 
 46 
 
 45-7 
 
 5-6 
 
 06 
 
 105. 2 
 
 12.9 
 
 66 
 
 164.8 
 
 2O. 2 
 
 26 
 
 224.3 
 
 27.5 
 
 86 
 
 283.9 
 
 34-9 
 
 47 
 
 46.6 
 
 5-7 
 
 07 
 
 1 06. 2 
 
 13.0 
 
 67 
 
 165.8 
 
 20. 4 
 
 27 
 
 225.3 
 
 27-7 
 
 87 
 
 284.9 
 
 35- 
 
 48 
 
 47-6 
 
 5-8 
 
 08 
 
 107. 2 
 
 '3-2 
 
 68 
 
 166.7 
 
 20. 5 
 
 28 
 
 226, 3 
 
 27.8 
 
 88 
 
 285.9 
 
 35-1 
 
 49 
 5 
 
 48.6 
 49.6 
 
 6.0 
 6.1 
 
 09 
 10 
 
 108. 2 
 log. 2 
 
 '3-3 
 '3-4 
 
 69 
 
 70 
 
 167.7 
 168.7 
 
 20. 6 
 20. 7 
 
 29 
 
 30 
 
 227.3 
 
 228.3 
 
 27.9 
 
 28.0 
 
 89 
 
 90 
 
 286.8 
 287.8 
 
 35-2 
 35-3 
 
 51 
 
 50.6 
 
 6.2 
 
 III 
 
 IIO. 2 
 
 '3-5 
 
 171 
 
 169.7 
 
 20.8 
 
 2 3 l 
 
 229.3 
 
 28.2 
 
 291 
 
 288.8 
 
 35-5 
 
 52 
 
 51.6 
 
 6-3 
 
 12 
 
 III. 2 
 
 '3-6 
 
 72 
 
 170.7 
 
 21.0 
 
 3 2 
 
 230.3 
 
 28.3 
 
 92 
 
 289.8 
 
 35-6 
 
 53 
 
 52.6 
 
 6.5 
 
 '3 
 
 112. 2 
 
 '3-8 
 
 73 
 
 171.7 
 
 21. I 
 
 33 
 
 23'- 3 
 
 28.4 
 
 93 
 
 290. S 
 
 35-7 
 
 54 
 
 53-6 
 
 6.6 
 
 '4 
 
 II3.2 
 
 '3-9 
 
 74 
 
 172.7 
 
 21. 2 
 
 34 
 
 232-3 
 
 28.5 
 
 94 
 
 291.8 
 
 35-8 
 
 ii 
 
 54-6 
 55-6 
 
 6.7 
 
 6. 
 
 II 
 
 114. 
 "5- 
 
 14.0 
 14.1 
 
 H 
 
 73-7 
 74-7 
 
 21. A 
 
 35 
 36 
 
 233-2 
 
 234.2 
 
 28.6 
 28.8 
 
 3 
 
 292.8 
 293.8 
 
 36.0 
 36.J 
 
 57 
 
 56.6 
 
 6.9 
 
 '7 
 
 116. 
 
 '4-3 
 
 n 
 
 '75- 7 
 
 21.6 
 
 3Z 
 
 235.2 
 
 28.9 
 
 n 
 
 294-3 
 
 36-* 
 
 58 
 
 8 
 
 57-6 
 58.6 
 59-6 
 
 7.2 
 7-3 
 
 18 
 '9 
 
 20 
 
 117. 
 
 118. 
 119. 
 
 14.4 
 14. S 
 14.6 
 
 76 
 11 
 
 176.7 
 
 177.7 
 178.7 
 
 "I 
 21.8 
 
 21.9 
 
 38 
 
 39 
 40 
 
 236.2 
 237.2 
 238.2 
 
 29.O 
 29. I 
 29.2 
 
 9 8 
 
 99 
 
 300 
 
 295-8 
 296.8 
 
 297-8 
 
 ft! 
 
 DM. 
 
 Dep. 
 
 Ut. 
 
 Dlit. 
 
 Dep. 
 
 Ut. 
 
 Dirt. 
 
 Dtp. 
 
 Lit. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dfct, 
 
 Dep. 
 
 Ut 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 [For 83 Decrees. 
 
 120 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 8. 
 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Disl. 
 
 Lat 
 
 Dep. 
 
 Oist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lai 
 
 Dep. 
 
 I 
 
 I. O 
 
 0. I 
 
 61 
 
 60. 4 
 
 8-5 
 
 121 
 
 119.8 
 
 1 6. 8 
 
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 179.2 
 
 25.2 
 
 241 
 
 2j8.7 
 
 33-5 
 
 2 
 
 2. O 
 
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 62 
 
 61.4 
 
 8.6 
 
 22 
 
 120.8 
 
 17.0 
 
 82 
 
 180. 2 
 
 25-3 
 
 42 
 
 239.6 
 
 33-7 
 
 3 
 
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 63 
 
 62.4 
 
 8.8 
 
 23 
 
 121. 8 
 
 I7.I 
 
 83 
 
 181.2 
 
 25-5 
 
 43 
 
 240. 6 
 
 33-8 
 
 4 
 
 4.0 
 
 0.6 
 
 64 
 
 63.4 
 
 8.9 
 
 24 
 
 122.8 
 
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 84 
 
 182. 2 
 
 25.6 
 
 44 
 
 241. 6 
 
 34-0 
 
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 5-9 
 
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 64.4 
 65.4 
 
 9.0 
 9.2 
 
 11 
 
 123. 8 
 
 124.8 
 
 17.4 
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 183. 2 
 184. 2 
 
 25-7 
 25.9 
 
 45 
 46 
 
 242. 6 
 243- 6 
 
 34-' 
 34-2 
 
 7 
 
 6.9 
 
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 67 
 
 66.3 
 
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 125.8 
 
 '7-7 
 
 87 
 
 185.2 
 
 26. o 
 
 47 
 
 244- 6 
 
 34-4 
 
 8 
 
 7.9 
 
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 68 
 
 67.3 
 
 9- 5 
 
 28 
 
 126.8 
 
 17.8 
 
 88 
 
 186. 2 
 
 26.2 
 
 48 
 
 245.6 
 
 34-5 
 
 9 
 
 8.9 
 
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 69 
 
 68.3 
 
 9-6 
 
 29 
 
 127.7 
 
 18. o 
 
 89 
 
 187.2 
 
 26. 3 
 
 49 
 
 246. 6 
 
 34-7 
 
 10 
 
 9-9 
 
 4 
 
 7 
 
 69- 3 
 
 9-7 
 
 3 
 
 128. 7 
 
 1 8. i 
 
 90 
 
 188.2 
 
 26. 4 
 
 5 
 
 247.6 
 
 34-8 
 
 II 
 
 10. 9 
 
 5 
 
 7' 
 
 7-3 
 
 9-9 
 
 '3' 
 
 129.7 
 
 1 8. 2 
 
 191 
 
 I8 9 . 
 
 26.6 
 
 251 
 
 248. 6 
 
 34-9 
 
 12 
 
 n. 9 
 
 7 
 
 72 
 
 71-3 
 
 10. O 
 
 32 
 
 '3- 7 
 
 >8. 4 
 
 92 
 
 190. 
 
 26.7 
 
 52 
 
 249- 5 
 
 35-i 
 
 '3 
 
 12.9 
 
 .8 
 
 73 
 
 72.3 
 
 IO. 2 
 
 33 
 
 '3'-7 
 
 18.5 
 
 93 
 
 191. 
 
 26. 9 
 
 53 
 
 250.5 
 
 35-2 
 
 H 
 
 3-9 
 
 9 
 
 74 
 
 73-3 
 
 10-3 
 
 34 
 
 132-7 
 
 18. 6 
 
 94 
 
 192. 
 
 27.0 
 
 54 
 
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 35-3 
 
 15 
 
 14.9 
 
 2. I 
 
 75 
 
 74-3 
 
 10. 4 
 
 35 
 
 133-7 
 
 18. 8 
 
 95 
 
 193- 
 
 27.1 
 
 55 
 
 252.5 
 
 35-5 
 
 16 
 
 15.8 
 
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 76 
 
 75-3 
 
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 36 
 
 34- 7 
 
 18.9 
 
 96 
 
 194. 
 
 27-3 
 
 56 
 
 253-5 
 
 35-6 
 
 17 
 
 16. 8 
 
 2-4 
 
 77 
 
 7 6 -3 
 
 10. 7 
 
 37 
 
 '35-7 
 
 19. i 
 
 97 
 
 195- 
 
 27.4 
 
 57 
 
 254-5 
 
 35-8 
 
 18 
 
 17.8 
 
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 78 
 
 77-2 
 
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 38 
 
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 19. 2 
 
 98 
 
 196. 
 
 27.6 
 
 58 
 
 255-5 
 
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 79 
 
 78.2 
 
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 39 
 
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 99 
 
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 27-7 
 
 59 
 
 256-5 
 
 36. o 
 
 20 
 
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 79.2 
 
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 40 
 
 138.6 
 
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 200 
 
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 27.8 
 
 60 
 
 257-5 
 
 36.2 
 
 21 
 
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 80.2 
 
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 199.0 
 
 28.0 
 
 261 
 
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 22 
 
 21.8 
 
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 82 
 
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 11.4 
 
 42 
 
 140. 6 
 
 19.8 
 
 02 
 
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 28.1 
 
 62 
 
 259-5 
 
 36.5 
 
 23 
 
 22.8 
 
 3.2 
 
 83 
 
 82.2 
 
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 43 
 
 141.6 
 
 19.9 
 
 3 
 
 2OI. O 
 
 28.3 
 
 3 
 
 260. 4 
 
 36 6 
 
 24 
 
 23.8 
 
 3-3 
 
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 83.2 
 
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 44 
 
 142.6 
 
 20. o 
 
 4 
 
 202. 
 
 28.4 
 
 64 
 
 261. 4 
 
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 11 
 
 24.8 
 
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 86 
 
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 45 
 46 
 
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 144.6 
 
 20. 2 
 20.3 
 
 5 
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 203. o 
 204. o 
 
 28.5 
 28.7 
 
 11 
 
 262. 4 
 263.4 
 
 3 6 -9 
 37-0 
 
 27 
 
 26. 7 
 
 3-8 
 
 87 
 
 86.2 
 
 12. I 
 
 47 
 
 145.6 
 
 20.5 
 
 07 
 
 205. o 
 
 28. 8 
 
 67 
 
 264.4 
 
 37-2 
 
 28 
 
 27. 7 
 
 3-9 
 
 88 
 
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 48 
 
 146. 6 
 
 20. 6 
 
 08 
 
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 28.9 
 
 68 
 
 265.4 
 
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 29 
 
 28.7 
 
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 89 
 
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 12.4 
 
 49 
 
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 20. 7 
 
 09 
 
 207. o 
 
 29. i 
 
 69 
 
 266. 4 
 
 37-4 
 
 3 
 
 29. 7 
 
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 90 
 
 89. 
 
 12.5 
 
 5 
 
 148.5 
 
 20. 9 
 
 10 
 
 208. o 
 
 29. 2 
 
 7 
 
 267.4 
 
 37-6 
 
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 30. 7 
 
 4-3 
 
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 90. 
 
 12.7 
 
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 '49-5 
 
 21. O 
 
 211 
 
 208. 9 
 
 29.4 
 
 271 
 
 268. 4 
 
 37-7 
 
 32 
 
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 4-5 
 
 92 
 
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 21. 2 
 
 12 
 
 209.9 
 
 29.5 
 
 73 
 
 269.4 
 
 37 9 
 
 33 
 
 32. 7 
 
 4-6 
 
 93 
 
 92. 
 
 12.9 
 
 53 
 
 151.5 
 
 21-3 
 
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 210.9 
 
 29. 6 
 
 73 
 
 270.3 
 
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 34 
 
 33-7 
 
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 94 
 
 93- 
 
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 54 
 
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 74 
 
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 15 
 
 212. 9 
 
 29.9 
 
 75 
 
 272.3 
 
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 36 
 37 
 
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 96 
 97 
 
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 30.1 
 30.2 
 
 76 
 77 
 
 273-3 
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 38.4 
 38.6 
 
 38 
 
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 98 
 
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 58 
 
 156.5 
 
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 18 
 
 215. 9 
 
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 78 
 
 275-3 
 
 38.7 
 
 39 
 
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 59 
 
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 79 
 
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 38.8 
 
 40 
 
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 100 
 
 99.0 
 
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 60 
 
 158.4 
 
 22.3 
 
 20 
 
 217.9 
 
 30. 6 
 
 80 
 
 2-7-3 
 
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 5-7 
 
 101 
 
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 14.1 
 
 161 
 
 159.4 
 
 22.4 
 
 221 
 
 218.8 
 
 30.8 
 
 281 
 
 278-3 
 
 39-1 
 
 42 
 
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 62 
 
 1 60. 4 
 
 22-5 
 
 22 
 
 219.8 
 
 3-9 
 
 82 
 
 279-3 
 
 39-2 
 
 43 
 
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 63 
 
 161. 4 
 
 22.7 
 
 23 
 
 220.8 
 
 31.0 
 
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 64 
 
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 45 
 
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 104. o 
 
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 65 
 
 163-4 
 
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 25 
 
 222.8 
 
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 85 
 
 282.2 
 
 39-7 
 
 46 
 
 45.6 
 
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 105. o 
 
 14.8 
 
 66 
 
 164.4 
 
 23.1 
 
 26 
 
 223.8 
 
 3'- 5 
 
 86 
 
 283. 2 
 
 39-8 
 
 47 
 
 46.5 
 
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 14.9 
 
 67 
 
 165.4 
 
 23.2 
 
 27 
 
 224.8 
 
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 87 
 
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 39-9 
 
 48 
 
 47-5 
 
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 106. 9 
 
 15.0 
 
 68 
 
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 23.4 
 
 28 
 
 225. 8 
 
 3'- 7 
 
 88 
 
 285. 2 
 
 40. i 
 
 49 
 
 48.5 
 
 6.8 
 
 09 
 
 107.9 
 
 15.2 
 
 69 
 
 167. 4 
 
 23-5 
 
 29 
 
 226.8 
 
 3'-9 
 
 89 
 
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 40.2 
 
 5 
 
 49-5 
 
 7.0 
 
 10 
 
 1 08. 9 
 
 '5-3 
 
 70 
 
 168.3 
 
 23-7 
 
 3 
 
 227.8 
 
 32.0 
 
 90 
 
 287. 2 
 
 40.4 
 
 5' 
 
 5-5 
 
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 109.9 
 
 15-4 
 
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 '69.3 
 
 23. 8 
 
 23' 
 
 228.8 
 
 32.1 
 
 291 
 
 288. 2 
 
 40.5 
 
 52 
 
 5'-5 
 
 7-2 
 
 12 
 
 110.9 
 
 '5-6 
 
 72 
 
 I70-3 
 
 23-9 
 
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 229.7 
 
 32-3 
 
 92 
 
 289. 2 
 
 40. 6 
 
 53 
 
 52-5 
 
 7-4 
 
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 111.9 
 
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 73 
 
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 33 
 
 230.7 
 
 32-4 
 
 93 
 
 290. 
 
 40. 8 
 
 54 
 
 53-5 
 
 7-5 
 
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 112. J 
 
 15-9 
 
 74 
 
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 24.2 
 
 34 
 
 231.7 
 
 32.6 
 
 94 
 
 291. 
 
 40-9 
 
 55 
 
 54-5 
 
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 15 
 
 113-9 
 
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 75 
 
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 24.4 
 
 35 
 
 232.7 
 
 32.7 
 
 95 
 
 292. 
 
 41. 
 
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 55-5 
 
 7-8 
 
 16 
 
 II4.9 
 
 16. I 
 
 76 
 
 174-3 
 
 24.5 
 
 36 
 
 233-7 
 
 32.8 
 
 96 
 
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 56.4 
 
 57-4 
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 117.8 
 118.8 
 
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 175.3 
 176.3 
 177-3 
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 24.8 
 24.9 
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 37 
 38 
 
 39 
 
 40 
 
 234-7 
 
 235- 7 
 236-7 
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 33-0 
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 33-3 
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 97 
 98 
 
 99 
 300 
 
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 121 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 9. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
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 Dist. 
 
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 Dist. 
 
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 Dist. 
 
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 60. 2 
 
 9-5 
 
 121 
 
 119.5 
 
 18.9 
 
 181 
 
 178.8 
 
 28.3 
 
 241 
 
 236.0 
 
 37-7 
 
 2 
 
 2.0 
 
 .-3 
 
 62 
 
 61.2 
 
 9-7 
 
 22 
 
 120. 5 
 
 I9.I 
 
 82 
 
 179-8 
 
 28.5 
 
 42 
 
 239.0 
 
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 63 
 
 62.2 
 
 9-9 
 
 23 
 
 121. 5 
 
 19.2 
 
 83 
 
 180. 7 
 
 28.6 
 
 43 
 
 240.0 
 
 38.0 
 
 4 
 
 4.0 
 
 o. 6 
 
 64 
 
 63.2 
 
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 122.5 
 
 19.4 
 
 84 
 
 181.7 
 
 zB.S 
 
 44 
 
 241.0 
 
 38.2 
 
 
 4-9 
 
 0.8 
 
 65 
 
 64. 2 
 
 IO. 2 
 
 25 
 
 I2 3-5 
 
 19,. 6 
 
 85 
 
 182. 7 
 
 28.9 
 
 45 
 
 242. o 
 
 38.3 
 
 6 
 
 5-9 
 
 0.9 
 
 66 
 
 65.2 
 
 10.3 
 
 26 
 
 124.4 
 
 19.7 
 
 86 
 
 183-7 
 
 29.1 
 
 46 
 
 243.0 
 
 38.5 
 
 7 
 
 6.9 
 
 1. 1 
 
 67 
 
 66.2 
 
 10.5 
 
 27 
 
 125.4 
 
 19.9 
 
 87 
 
 184.7 
 
 29-3 
 
 47 
 
 244.0 
 
 38.6 
 
 8 
 
 7-9 
 
 '3 
 
 68 
 
 67.2 
 
 10.6 
 
 28 
 
 126.4 
 
 20. o 
 
 88 
 
 185.7 
 
 29.4 
 
 48 
 
 244,9 
 
 38.8 
 
 9 
 
 8.9 
 
 1.4 
 
 69 
 
 68.2 
 
 10.8 
 
 29 
 
 127.4 
 
 2O. 2 
 
 89 
 
 186.7 
 
 29. 6 
 
 49 
 
 245.9 
 
 39-0 
 
 10 
 
 9-9 
 
 1.6 
 
 jo 
 
 69. i 
 
 II. 
 
 3" 
 
 128.4 
 
 20.3 
 
 90 
 
 187-7 
 
 29.7 
 
 5 
 
 246.9 
 
 39- 1 
 
 ii 
 
 10.9 
 
 '7 
 
 7" 
 
 70. 
 
 u. i 
 
 '3 1 
 
 129.4 
 
 20. 5 
 
 191 
 
 188.6 
 
 29-9 
 
 251 
 
 247.9 
 
 39-3 
 
 12 
 
 11.9 
 
 1.9 
 
 72 
 
 7'. 
 
 "3 
 
 32 
 
 130.4 
 
 20. 6 
 
 92 
 
 189.6 
 
 30. o 
 
 S 2 
 
 248.9 
 
 39 4 
 
 '3 
 
 12.8 
 
 2. O 
 
 73 
 
 72. 
 
 11.4 
 
 33 
 
 >3'-4 
 
 20.8 
 
 93 
 
 190.6 
 
 30.2 
 
 53 
 
 249-9 
 
 39-0 
 
 '4 
 
 13-8 
 
 2. 2 
 
 74 
 
 73- 
 
 n. 6 
 
 34 
 
 132.4 
 
 21. O 
 
 94 
 
 191.6 
 
 3-3 
 
 54 
 
 250.9 
 
 39-7 
 
 15 
 
 14.8 
 
 2-3 
 
 75 
 
 74- 
 
 11.7 
 
 35 
 
 "33- 3 
 
 21. I 
 
 95 
 
 192. 6 
 
 30-5 
 
 55 
 
 251.9 
 
 39-9 
 
 16 
 
 15.8 
 
 2-5 
 
 76 
 
 75- 
 
 11.9 
 
 3 6 
 
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 21-3 
 
 96 
 
 193.6 
 
 3-7 
 
 56 
 
 252.8 
 
 40.0 
 
 '7 
 
 16. 8 
 
 2.7 
 
 77 
 
 76. 
 
 12. O 
 
 37 
 
 '35-3 
 
 21.4 
 
 97 
 
 194.6 
 
 30.8 
 
 57 
 
 253-8 
 
 4O. 2 
 
 18 
 
 17.8 
 
 2.8 
 
 78 
 
 77.0 
 
 12.2 
 
 38 
 
 136-3 
 
 21. 6 
 
 98 
 
 195.6 
 
 31.0 
 
 58 
 
 254.8 
 
 40.4 
 
 >9 
 
 18. 8 
 
 3- 
 
 79 
 
 78.0 
 
 I2. 4 
 
 39 
 
 137-3 
 
 21. 7 
 
 99 
 
 196.5 
 
 31-1 
 
 59 
 
 255-8 
 
 40.5 
 
 20 
 
 19.8 
 
 3- ' 
 
 80 
 
 79.0 
 
 '2-5 
 
 40 
 
 138-3 
 
 21.9 
 
 200 
 
 197-5 
 
 31-3 
 
 60 
 
 256.8 
 
 40.7 
 
 21 
 
 20. 7 
 
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 80.0 
 
 12.7 
 
 141 
 
 '39-3 
 
 22. I 
 
 20 1 
 
 198.5 
 
 3'-4 
 
 261 
 
 257-8 
 
 40.8 
 
 22 
 
 21.7 
 
 3-4 
 
 82 
 
 Si.o 
 
 12.8 
 
 42 
 
 140.3 
 
 22. 2 
 
 02 
 
 199-5 
 
 31-6 
 
 62 
 
 258.8 
 
 41.0 
 
 23 
 
 22. 7 
 
 3-6 
 
 83 
 
 82.0 
 
 13.0 
 
 43 
 
 141. 2 
 
 22.4 
 
 3 
 
 200. 5 
 
 31-8 
 
 63 
 
 259.8 
 
 41.1 
 
 24 
 
 23-7 
 
 3-8 
 
 84 
 
 83.0 
 
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 44 
 
 142. 2 
 
 22.5 
 
 04 
 
 201.5 
 
 31-9 
 
 64 
 
 260. 7 
 
 41.3 
 
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 24.7 
 
 3-9 
 
 85 
 
 84.0 
 
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 45 
 
 143.2 
 
 22.7 
 
 5 
 
 202. 5 
 
 32.1 
 
 65 
 
 261. 7 
 
 41.5 
 
 26 
 
 25-7 
 
 4.1 
 
 86 
 
 84.9 
 
 13-5 
 
 46 
 
 144.2 
 
 22.8 
 
 06 
 
 23-5 
 
 32.2 
 
 66 
 
 262. 7 
 
 41.6 
 
 27 
 
 26.7 
 
 4-2 
 
 87 
 
 85.9 
 
 13-6 
 
 47 
 
 J45-2 
 
 23.0 
 
 07 
 
 204.5 
 
 32-4 
 
 6 l 
 
 263.7 
 
 41.8 
 
 28 
 
 27.7 
 
 4-4 
 
 88 
 
 86.9 
 
 13-8 
 
 48 
 
 146.2 
 
 23.2 
 
 08 
 
 205.4 
 
 32.5 
 
 68 
 
 264.7 
 
 41.9 
 
 29 
 
 28.6 
 
 4-5 
 
 89 
 
 87-9 
 
 '3-9 
 
 49 
 
 147.2 
 
 23-3 
 
 09 
 
 206. 4 
 
 32-7 
 
 69 
 
 265.7 
 
 42.1 
 
 3 
 
 29.6 
 
 4-7 
 
 90 
 
 88.9 
 
 14.1 
 
 5 
 
 148.2 
 
 23-5 
 
 10 
 
 207.4 
 
 32.9 
 
 70 
 
 266.7 
 
 42.2 
 
 3! 
 
 30.6 
 
 4.8 
 
 9' 
 
 89.9 
 
 14.2 
 
 151 
 
 149. 
 
 23-6 
 
 211 
 
 208. 4 
 
 33-0 
 
 271 
 
 267. 7 
 
 42.4 
 
 32 
 
 3i.6 
 
 5.0 
 
 92 
 
 90.9 
 
 14.4 
 
 S 2 
 
 150. 
 
 23-8 
 
 12 
 
 209.4 
 
 33-2 
 
 72 
 
 268.7 
 
 42.6 
 
 33 
 
 32.6 
 
 5- 2 
 
 93 
 
 91.9 
 
 14.5 
 
 53 
 
 151. 
 
 23-9 
 
 '3 
 
 210.4 
 
 33-3 
 
 73 
 
 269. 6 
 
 42.7 
 
 34 
 
 33-6 
 
 5-3 
 
 94 
 
 92.8 
 
 14.7 
 
 54 
 
 152. 
 
 24.1 
 
 14 
 
 211.4 
 
 33-5 
 
 74 
 
 270.6 
 
 42.9 
 
 35 
 
 34-6 
 
 5-5 
 
 95 
 
 93-8 
 
 14.9 
 
 55 
 
 '53- 
 
 24.2 
 
 15- 
 
 212.4 
 
 33-6 
 
 75 
 
 271.6 
 
 43-o 
 
 36 
 
 35-6 
 
 5-6 
 
 90 
 
 94.8 
 
 15.0 
 
 56 
 
 154. 
 
 24-4 
 
 16 
 
 213-3 
 
 33-8 
 
 76 
 
 272.6 
 
 43-2 
 
 37 
 
 36.5 
 
 5-8 
 
 97 
 
 95-8 
 
 15.2 
 
 57 
 
 155-- 
 
 24. 6 
 
 17 
 
 214-3 
 
 33.9 
 
 77 
 
 273.6 
 
 43-3 
 
 38 
 
 37-5 
 
 5-9 
 
 98 
 
 96.8 
 
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 58 
 
 156. 
 
 24.7 
 
 18 
 
 215-3 
 
 34-1 
 
 7 
 
 274.6 
 
 43-5 
 
 39 
 
 38.5 
 
 6.1 
 
 99 
 
 97.8 
 
 5-5 
 
 59 
 
 157.0 
 
 24.9 
 
 J9 
 
 216. 3 
 
 34-3 
 
 79 
 
 275.6 
 
 43-6 
 
 40 
 
 39-5 
 
 6-3 
 
 IOO 
 
 98.8 
 
 IS. 6 
 
 60 
 
 158.0 
 
 25.0 
 
 20 
 
 217-3 
 
 34-4 
 
 80 
 
 276.6 
 
 43-8 
 
 4' 
 
 40.5 
 
 6.4 
 
 101 
 
 99-8 
 
 15.8 
 
 161 
 
 159.0 
 
 25. 2 
 
 221 
 
 218.3 
 
 34-6 
 
 281 
 
 .277- 5 
 
 44-0 
 
 42 
 
 41.5 
 
 6.6 
 
 02 
 
 :oo. 7 
 
 16. o 
 
 62 
 
 160.0 
 
 25.3 
 
 22 
 
 2 '9- 3 
 
 34-7 
 
 82 
 
 278.5 
 
 44'- I 
 
 43 
 
 42.5 
 
 6-7 
 
 3 
 
 101. 7 
 
 16. i 
 
 63 
 
 161.0 
 
 25-5 
 
 23 
 
 220.3 
 
 34-9 
 
 83 
 
 279.5 
 
 44-3 
 
 44 
 
 43-5 
 
 6.9 
 
 04 
 
 102. 7 
 
 16.3 
 
 64 
 
 162.6 
 
 25-7 
 
 24 
 
 221.2 
 
 35-0 
 
 84 
 
 280.5 
 
 44-4 
 
 45 
 
 44-4 
 
 7.0 
 
 5 
 
 103.7 
 
 16.4 
 
 65 
 
 163.0 
 
 2 5 .8 
 
 25 
 
 222,2 
 
 35-2 
 
 fi 
 
 281.5 
 
 44:6 
 
 46 
 
 45-4 
 
 7-2 
 
 06 
 
 104.7 
 
 16.6 
 
 66 
 
 164. o 
 
 26.0 
 
 26 
 
 223. 2 
 
 35-4 
 
 86 
 
 282.5 
 
 44-7 
 
 47 
 
 46.4 
 
 7-4 
 
 07 
 
 105. 7 
 
 16. 7 
 
 67 
 
 564.9 
 
 26.1 
 
 27 
 
 224.2 
 
 35-5 
 
 87 
 
 283:5 
 
 44-9 
 
 48 
 
 47-4 
 
 7-5 
 
 08 
 
 106. 7 
 
 16.9 
 
 68 
 
 165.9 
 
 26.3 
 
 28 
 
 225.2 
 
 35-7 
 
 OQ 
 00 
 
 284.5 
 
 45.1 
 
 49 
 
 48.4 
 
 7-7 
 
 09 
 
 107.7 
 
 17-1 
 
 69 
 
 166.9 
 
 26.4 
 
 29 
 
 226. 2 
 
 35-8 
 
 89 
 
 285.4 
 
 45-2 
 
 5 
 
 49-4 
 
 7-8 
 
 10 
 
 108. 6 
 
 17.2 
 
 70 
 
 167.9 
 
 26.6 
 
 10 
 
 227.2 
 
 36.0 
 
 90 
 
 286.4 
 
 45-4 
 
 5' 
 
 50.4 
 
 S.o 
 
 III 
 
 109. 6 
 
 17-4 
 
 171 
 
 168.9 
 
 26.8 
 
 231 
 
 228.2 
 
 3f.i 
 
 291 
 
 287.4 
 
 45-5 
 
 S 2 
 
 51.4 
 
 8.1 
 
 12 
 
 uo. 6 
 
 '7-5 
 
 72 
 
 169.9 
 
 26.9 
 
 32 
 
 229. 
 
 36.3 
 
 92 
 
 288.4 
 
 45-7 
 
 53 
 
 5 2 -3 
 
 8-3 
 
 *3 
 
 in. 6 
 
 17.7 
 
 73 
 
 170.9 
 
 27.1 
 
 33 
 
 230. 
 
 36.4 
 
 93 
 
 289.4 
 
 45. 8 
 
 54 
 
 53-3 
 
 8.4 
 
 4 
 
 112. 6 
 
 17. 8 
 
 74 
 
 171.9 
 
 27.2 
 
 34 
 
 231. 
 
 36.6 
 
 94 
 
 290.4 
 
 46.0 
 
 55 
 
 54-3 
 
 8.6 
 
 15 
 
 113.6 
 
 18,0 
 
 75 
 
 172.8 
 
 27.4 
 
 35 
 
 232. 
 
 36.8 
 
 95 
 
 291.4 
 
 46. i 
 
 56 
 
 53-3 
 
 8.8 
 
 16 
 
 114.6 
 
 i3. i 
 
 76 
 
 173-8 
 
 27-5 
 
 36 
 
 233- 
 
 36-9 
 
 96 
 
 292.4 
 
 46.3 
 
 57 
 
 56-3 
 
 8.0 
 
 7 
 
 115. 6 
 
 18.3 
 
 77 
 
 174.8 
 
 27- 7 
 
 37 
 
 234- 
 
 37-1 
 
 97 
 
 293-3 
 
 46.5 
 
 5 
 
 57-3 
 
 9.1 
 
 18 
 
 116. 5 
 
 18.5 
 
 78 
 
 175-8 
 
 27.8 
 
 38 
 
 235- 
 
 37-2 
 
 68 
 
 294-3 
 
 46. 6 
 
 59 
 
 58.3 
 
 9-2 
 
 19 
 
 117.5 
 
 18.6 
 
 79 
 
 576.8 
 
 28.0 
 
 39 
 
 236. 
 
 37-4 
 
 99 
 
 295-3 
 
 46. 8 
 
 60 
 
 59-3 
 
 9-4 
 
 20 
 
 118.5 
 
 18.8 
 
 So 
 
 s 7,7- 8 
 
 
 40 
 
 237.0 
 
 37-5 
 
 300 
 
 296.3 
 
 46.9 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 
 [For 81 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 10. 
 
 Dlst. 
 
 Lai. 
 
 Dcp. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 Dlst. 
 
 Lai. 
 
 Dcp. 
 
 I 
 
 1.0 
 
 0.2 
 
 61 
 
 60. I 
 
 10. 6 
 
 121 
 
 119. 2 
 
 21. 
 
 181 
 
 >7S-3 
 
 3'-4 
 
 241 
 
 2 37- 3 
 
 41.8 
 
 2 
 
 2. O 
 
 o. 3 
 
 62 
 
 61. I 
 
 10.8 
 
 22 
 
 120. 
 
 21. 2 
 
 82 
 
 179.2 
 
 31.6 
 
 4 2 
 
 . -3 s - 3 
 
 42.0 
 
 3 
 
 3- 
 
 0.5 
 
 63 
 
 62. o 
 
 10. 9 
 
 23 
 
 121. 
 
 21.4 
 
 83 
 
 I So. 2 
 
 3'-8 
 
 43 
 
 2 39- 3 
 
 42.2 
 
 4 
 
 3-9 
 
 o. 7 
 
 64 
 
 63. o 
 
 11. I 
 
 24 
 
 122. 
 
 21.5 
 
 84 
 
 181. 2 
 
 32.0 
 
 44 
 
 240-3 
 
 42.4 
 
 5 
 
 4-9 
 
 0.9 
 
 65 
 
 64. o 
 
 "3 
 
 25 
 
 I2 3- 
 
 21.7 
 
 85 
 
 182.2 
 
 3 2 - 1 
 
 45 
 
 2 4I-3 
 
 42.5 
 
 6 
 
 5-9 
 
 .0 
 
 66 
 
 65. o 
 
 11.5 
 
 20 
 
 124. 
 
 21.9 
 
 86 
 
 183.2 
 
 32-3 
 
 46 
 
 2 4 2 -3 
 
 42.7 
 
 7 
 
 6.9 
 
 . 2 
 
 67 
 
 66.0 
 
 n. 6 
 
 2 7 
 
 125. 
 
 22. I 
 
 8/ 
 
 184. 2 
 
 3 2 -5 
 
 47 
 
 243-2 
 
 42.9 
 
 8 
 
 7-9 
 
 4 
 
 68 
 
 67.0 
 
 11. 8 
 
 28 
 
 126. 
 
 22. 2 
 
 8S 
 
 I8 5 . 
 
 32.0 
 
 48 
 
 244.2 
 
 43- 
 
 9 
 
 8.9 
 
 .6 
 
 69. 
 
 68.0 
 
 12. O 
 
 29 
 
 127. o 
 
 22.4 
 
 89 
 
 1 86. 
 
 32-8 
 
 49 
 
 245.2 
 
 43-2 
 
 10 
 
 9.8 
 
 7 
 
 70 
 
 68.9 
 
 12. 2 
 
 3 
 
 128.0 
 
 22. 6 
 
 90 
 
 187. 
 
 33- 
 
 5 
 
 246. 2 
 
 43-4 
 
 II 
 
 10.8 
 
 '9 
 
 7' 
 
 69.9 
 
 I2 - 3 
 
 '3' 
 
 129. o 
 
 22.7 
 
 191 
 
 1 88. 
 
 33- 2 
 
 251 
 
 247.2 
 
 43- 6 
 
 12 
 
 n. 8 
 
 2. I 
 
 7 2 
 
 70.9 
 
 12.5 
 
 3 2 
 
 130. o 
 
 22. 9 
 
 92 
 
 189- 
 
 33-3 
 
 5 2 
 
 248. 2 
 
 43-8 
 
 >3 
 
 12.8 
 
 2.3 
 
 73 
 
 71.9 
 
 12.7 
 
 33 
 
 131.0 
 
 2 3-' 
 
 93 
 
 190. 
 
 33-5 
 
 53 
 
 249.2 
 
 43-9 
 
 14 
 
 '3-8 
 
 2.4 
 
 74 
 
 72.9 
 
 12.8 
 
 34 
 
 132. o 
 
 2 3-3 
 
 94 
 
 191. 
 
 33-7 
 
 54 
 
 250. 
 
 44. i 
 
 15 
 
 14.8 
 
 2.6 
 
 75 
 
 73-9 
 
 '3- 
 
 35 
 
 132.9 
 
 2 3-4 
 
 95 
 
 192. o 
 
 33-9 
 
 55 
 
 251. 
 
 44-3 
 
 ID 
 
 15.8 
 
 2.8 
 
 76 
 
 74-8 
 
 3-2 
 
 36 
 
 33-9 
 
 23.6 
 
 96 
 
 '93- 
 
 34-0 
 
 5 6 
 
 252. 
 
 44-5 
 
 17 
 
 16.7 
 
 3- 
 
 77 
 
 75-8 
 
 13.4 
 
 37 
 
 '34-9 
 
 2 3-8 
 
 97 
 
 194.0 
 
 34-2 
 
 57 
 
 253- 
 
 44.6 
 
 18 
 19 
 
 '7-7 
 18.7 
 
 3-1 
 3-3 
 
 78 
 79 
 
 76.8 
 77-8 
 
 '3-5 
 '3-7 
 
 3 
 39 
 
 '35-9 
 i3 6 -9 
 
 24.0 
 24. i 
 
 98 
 99 
 
 195.0 
 196. o 
 
 34-4 
 
 34-6 
 
 58 
 I 9 
 
 2 54. 
 
 25 2' 
 
 44-8 
 45.0 
 
 20 
 
 9-7 
 
 3-5 
 
 So 
 
 78.8 
 
 3-9 
 
 40 
 
 137-9 
 
 24-3 
 
 200 
 
 197.0 
 
 34.7 
 
 60 
 
 256. 
 
 45-' 
 
 21 
 
 20. 7 
 
 3- 6 
 
 81 
 
 79.8 
 
 14. i 
 
 141 
 
 '38.9 
 
 24.5 
 
 20 1 
 
 197-9 
 
 34-9 
 
 261 
 
 257.0 
 
 45-3 
 
 22 
 
 21. 7 
 
 3-8 
 
 82 
 
 80.8 
 
 14.2 
 
 42 
 
 139-8 
 
 24.7 
 
 02 
 
 198.9 
 
 35-' 
 
 62 
 
 258.0 
 
 45-5, 
 
 23 
 
 22. 7 
 
 4.0 
 
 83 
 
 81.7 
 
 14.4 
 
 43 
 
 140. 8 
 
 24.8 
 
 3 
 
 199.9 
 
 35-3 
 
 63 
 
 259.0 
 
 45-7 
 
 24 
 
 23.6 
 
 4- 2 
 
 84 
 
 82.7 
 
 14. 6 
 
 44 
 
 141.8 
 
 25.0 
 
 04 
 
 200. 9 
 
 35-4 
 
 64 
 
 260. o 
 
 45-8 
 
 25 
 
 " ., 
 
 24. 6 
 
 4-3 
 
 85 
 
 83.7 
 
 14.8 
 
 45 
 
 142.8 
 
 25.2 
 
 5 
 
 201. 9 
 
 35-6 
 
 ^ 
 
 261. o 
 
 46. o 
 
 26 
 
 25. 6 
 
 4-5 
 
 86 
 
 84-7 
 
 14.9 
 
 46 
 
 143.8 
 
 25-4 
 
 06 
 
 202. 9 
 
 35-8 
 
 66 
 
 262. o 
 
 46. 2 
 
 27 
 28 
 
 26.6 
 27. 6 
 
 4-7 
 4-9 
 
 87 
 88 
 
 86! 7 
 
 15.1 
 
 '5-3 
 
 47' 
 48 
 
 144.8 
 145-8 
 
 25-4 
 25.7 
 
 07 
 oS 
 
 203. 9 
 
 204. tf 
 
 3>9 
 36.1 
 
 67 
 6S 
 
 262. 9 
 263.9 
 
 46.4 
 46.5 
 
 2.9 
 
 28.6 
 
 5- 
 
 89 
 
 87.6 
 
 '5-5 
 
 49 
 
 146.7 
 
 25.9 
 
 09 
 
 205.8 
 
 36.3 
 
 69 
 
 264.9 
 
 46. 7 
 
 ^0 
 
 29.5 
 
 5-2 
 
 9 
 
 88.6 
 
 iS-6 
 
 5 
 
 147-7 
 
 26. o 
 
 10 
 
 206. 8 
 
 36.5 
 
 70 
 
 265.9. 
 
 46.9 
 
 3 1 
 
 3-5 
 
 5-4 
 
 9' 
 
 89.6 
 
 15.8 
 
 5' 
 
 148.7 
 
 .~6. 2 
 
 211 
 
 207. 8 
 
 36. 6 
 
 271 
 
 266. 9 
 
 47. i 
 
 3 2 
 
 3>-5 
 
 5-6 
 
 92 
 
 90. 6 
 
 16. o 
 
 52 
 
 149. 7 
 
 26. 4 
 
 12 
 
 208.8 
 
 36.8 
 
 72 
 
 267.9 
 
 47.2 
 
 33 
 
 3 2 -5 
 
 5-7 
 
 93 
 
 91.6 
 
 16. i 
 
 53 
 
 150.7 
 
 26.6 
 
 3 
 
 209.8 
 
 37-0 
 
 73 
 
 268.9 
 
 47-4 
 
 34 
 
 33- 5 
 
 5-9 
 
 94 
 
 92. 6 
 
 16.3 
 
 54 
 
 151.7 
 
 26.7 
 
 14 
 
 210. 7 
 
 37- 2 
 
 74 
 
 269.8 
 
 47-6 
 
 35 
 
 34-5 
 
 6. i 
 
 95 
 
 93-6 
 
 16.5 
 
 55 
 
 152. 6 
 
 26.9 
 
 '5 
 
 211. 7 
 
 37-3 
 
 75 
 
 270. 8 
 
 47.8 
 
 36 
 
 35.5 
 
 6.3 
 
 96 
 
 94-5 
 
 16.7 
 
 56 
 
 153- 6 
 
 27.1 
 
 16 
 
 212. 7 
 
 37-5 
 
 70 
 
 271.8 
 
 47-9 
 
 37 
 
 3 6 -4 
 
 6.4 
 
 97 
 
 95-5 
 
 16. 8 
 
 57 
 
 154.6 
 
 2 7-3 
 
 '7 
 
 213-7 
 
 37-7 
 
 77 
 
 272.8 
 
 48.1 
 
 38 
 
 37-4 
 
 6.6 
 
 98 
 
 96.5 
 
 17.0 
 
 58 
 
 155.6 
 
 27.4 
 
 18 
 
 214. 7 
 
 37-9 
 
 78 
 
 273-8 
 
 4S.3 
 
 39 
 40 
 
 38-4 
 39-4 
 
 6.8 
 6.9 
 
 99 
 
 IOO 
 
 97-5 
 98.5 
 
 17.2 
 17.4 
 
 g 
 
 156.6 
 157.6 
 
 27. 6 
 27-8 
 
 19 
 
 20 
 
 215. 7 
 216. 7 
 
 38.0 
 38-2 
 
 79 
 80 
 
 274.8 
 275-7 
 
 4S.4 
 48.6 
 
 41 
 
 40.4 
 
 7- ' 
 
 101 
 
 99-5 
 
 '7-5 
 
 161 
 
 158.6 
 
 28.0 
 
 221 
 
 217.6 
 
 38.4 
 
 281 
 
 270.7 
 
 48.8 
 
 42 
 
 41.4 
 
 7-3 
 
 02 
 
 loo. 5 
 
 17.7 
 
 62 
 
 >59- 5 
 
 28.1 
 
 22 
 
 218.6 
 
 3S.5 
 
 82 
 
 277.7 
 
 49.0 
 
 43 
 
 42/3 
 
 7-5 
 
 3 
 
 foi.4 
 
 17-9 
 
 63 
 
 1 60. 5 
 
 28.3 
 
 2 3 
 
 219. 6 
 
 38.7 
 
 f 3 
 
 278.7 
 
 49- ' 
 
 44 
 
 43-3 
 
 7-6 
 
 04 
 
 1 02. 4 
 
 18. i 
 
 64 
 
 161. 5 
 
 28.5 
 
 24 
 
 220. 6 
 
 38.9 
 
 84 
 
 279.7 
 
 49-3 
 
 45 
 
 44- 3 
 
 7.8 
 
 05 
 
 i3-4 
 
 18.2 
 
 65 
 
 162. 5 
 
 28.7 
 
 25 
 
 221. 6 
 
 39- i 
 
 85 
 
 280. 7 
 
 49-5 
 
 46 
 
 45-3 
 
 8.0 
 
 06 
 
 104.4 
 
 18.4 
 
 66 
 
 ' 6 3-5 
 
 28.8 
 
 26 
 
 222. 6 
 
 39-2 
 
 86 
 
 281. 7 
 
 49- 7 
 
 47 
 
 46- 3 
 
 8.2 
 
 7 
 
 105.4 
 
 18. 6 
 
 67 
 
 164.5 
 
 29. o 
 
 27 
 
 223. 6 
 
 39-4 
 
 87 
 
 282.6 
 
 49-8 
 
 48 
 
 47-3 
 
 8-3 
 
 08 
 
 1 06. 4 
 
 18. 8 
 
 68 
 
 165. 4 
 
 29. 2 
 
 2S 
 
 224.5 
 
 39-6 
 
 SS 
 
 283. 6 
 
 50.0 
 
 49 
 
 48-3 
 
 8-5 
 
 09 
 
 '7-3 
 
 18.9 
 
 69 
 
 1 66. 4 
 
 29-3 
 
 29 
 
 225-5 
 
 39-8 
 
 89 
 
 284. 6 
 
 56. 2 
 
 5 
 
 49- 2 
 
 8.7 
 
 10 
 
 108. i 
 
 19. i 
 
 7 
 
 167.4 
 
 2 9.5 
 
 3 
 
 226. 5 
 
 39-9 
 
 9 
 
 285. 6 
 
 50.4 
 
 5' 
 
 50. 2 
 
 8-9 
 
 in 
 
 109.3 
 
 19-3 
 
 >7> 
 
 168.4 
 
 29.7 
 
 2 3 
 
 227.5 
 
 40. i 
 
 291 
 
 286. 6 
 
 5-5 
 
 5 2 
 
 51.2 
 
 9.0 
 
 12 
 
 no. 3 
 
 19.4 
 
 7 2 
 
 169.4 
 
 29.9 
 
 32 
 
 228.5 
 
 4-3 
 
 92 
 
 '287.6 
 
 50.7 
 
 53 
 
 52.2 
 
 9.2 
 
 >3 
 
 in. 3 
 
 19. 6 
 
 73 
 
 170.4 
 
 30. o 
 
 33 
 
 229.5 
 
 40.5 
 
 93 
 
 288. 5 
 
 50.9 
 
 54 
 
 S3- 2 
 
 9-4 
 
 14 
 
 112.3 
 
 19.8 
 
 74 
 
 171.4 
 
 30.2 
 
 34 
 
 230.4 
 
 40. 6 
 
 94 
 
 289.5 
 
 5I.I 
 
 55 
 
 54.2 
 
 9-6 
 
 15 
 
 "3-3 
 
 20. o 
 
 75 
 
 '7 2 -3 
 
 3-4 
 
 35 
 
 231-4 
 
 40.8 
 
 95 
 
 290.5 
 
 51.2 
 
 5 6 
 
 55- 
 
 9-7 
 
 16 
 
 114. 2 
 
 20. I 
 
 76 
 
 173-3 
 
 30. 6 
 
 3 6 
 
 232.4 
 
 41.0 
 
 96 
 
 291.5 
 
 5I< 1 
 
 57 
 
 5 6 - 
 
 9-9 
 
 17 
 
 115,2 
 
 20. 3 
 
 77 
 
 174-3 
 
 3-7 
 
 37 
 
 233-4 
 
 41.2 
 
 97 
 
 292.5 
 
 51. b 
 
 58 
 
 57- 
 
 10. I 
 
 18 
 
 1 1 6. 2 
 
 20. 5 
 
 7 
 
 175-3 
 
 3-9 
 
 38 
 
 234-4 
 
 4'- 3 
 
 98 
 
 293-5 
 
 S'-7 
 
 59 
 
 58. 
 
 10.2 
 
 19 
 
 117.2 
 
 20.7 
 
 79 
 
 176.3 
 
 31.1 
 
 39 
 
 235-4 
 
 41.5 
 
 99 
 
 294-5 
 
 5'-9 
 
 So 
 
 59- 
 
 10.4 
 
 20 
 
 I l8. 2 
 
 20.8' 
 
 So 
 
 177-3 
 
 3-3 
 
 40 
 
 236.4 
 
 41-7 
 
 300 
 
 295-4 
 
 52.1 
 
 Dlst. 
 
 Dcp. 
 
 Lat.' 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For So Degrees. 
 
 123 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 11. 
 
 Dist 
 
 LaL 
 
 Dcp. 
 
 Dist. 
 
 LaL 
 
 Dep. 
 
 Dist. 
 
 LaL 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 I. 
 
 O. 2 
 
 6l 
 
 59-9 
 
 II. 6 
 
 i2I 
 
 IlS. 8 
 
 23.1 
 
 181 
 
 >77- 7 
 
 34-5 
 
 241 
 
 236. 6 
 
 46. O 
 
 2 
 
 2. 
 
 0.4 
 
 62 
 
 60. 9 
 
 II 8 
 
 22 
 
 119.8 
 
 23-3 
 
 82 
 
 178.7 
 
 34-7 
 
 42 
 
 237-6 
 
 46. 2 
 
 3 
 
 2.9 
 
 0.6 
 
 63 
 
 61.8 
 
 12. O 
 
 2 3 
 
 120. 7 
 
 23-5 
 
 83 
 
 179.6 
 
 34-9 
 
 43 
 
 238-5 
 
 46.4 
 
 4 
 
 3-9 
 
 0.8 
 
 64 
 
 62.8 
 
 12.2 
 
 24 
 
 121. 7 
 
 23-7 
 
 84 
 
 180. 6 
 
 35- ' 
 
 44 
 
 239- 5 
 
 46.6 
 
 5 
 
 4-9 
 
 .0 
 
 65 
 
 63.8 
 
 *2.' 4 
 
 2 5 
 
 122.7 
 
 23-9 
 
 85 
 
 181.6 
 
 35-3 
 
 45 
 
 240.5 
 
 46.7 
 
 6 
 
 5-9 
 
 . I 
 
 66 
 
 64.8 
 
 12.6 
 
 26 
 
 123-7 
 
 24. o 
 
 86 
 
 182.6 
 
 35-5 
 
 46 
 
 241.5 
 
 46.9 
 
 7 
 
 6.9 
 
 3 
 
 "7 
 
 65.8 
 
 12.8 
 
 27 
 
 124. 7 
 
 24.2 
 
 87 
 
 183.6 
 
 35-7 
 
 47 
 
 242. 5 
 
 47- I 
 
 8 
 
 7-9 
 
 5 
 
 t>8 
 
 66.8 
 
 13.0 
 
 28 
 
 125. 6 
 
 24.4 
 
 88 
 
 184-5 
 
 35-9 
 
 48 
 
 243-4 
 
 47-3 
 
 9 
 
 8.8 
 
 7 
 
 09 
 
 67.7 
 
 '3- 2 
 
 2 9 
 
 126.6 
 
 24. 6 
 
 89 
 
 185-5 
 
 3 b. i 
 
 49 
 
 244-4 
 
 47-5 
 
 10 
 
 9-8 
 
 9 
 
 70 
 
 68. 7 
 
 13.4 
 
 3 
 
 127. 6 
 
 24.8 
 
 90 
 
 186.5 
 
 36. 3 
 
 50 
 
 245.4 
 
 47-7 
 
 II 
 
 10. 8 
 
 2. I 
 
 71 
 
 69. 7 
 
 '3-5 
 
 131 
 
 128. 6 
 
 25.0 
 
 191 
 
 187,5 
 
 3 6 -4. 
 
 251 
 
 246.4 
 
 47-9 
 
 12 
 
 ii. 8 
 
 2-3 
 
 72 
 
 70.7 
 
 >3- 7 
 
 3 2 
 
 129. 6 
 
 25.2 
 
 92 
 
 188.5 
 
 36.6 
 
 5 2 
 
 247.4 
 
 48. i 
 
 '3 
 
 12.8 
 
 2-5 
 
 73 
 
 71. 7 
 
 13-9 
 
 33 
 
 130. 6 
 
 25-4 
 
 93 
 
 189.5 
 
 36.8 
 
 53 
 
 248.4 
 
 48.3 
 
 14 
 
 13-7 
 
 2.7 
 
 74 
 
 72.6 
 
 14.1 
 
 34 
 
 I3I-5 
 
 25.6 
 
 94 
 
 190.4 
 
 37-0 
 
 54 
 
 249-3 
 
 48.5 
 
 '5 
 
 14.7 
 
 2.9 
 
 75 
 
 73-6 
 
 14-3 
 
 35 
 
 132-5 
 
 25.8 
 
 95 
 
 191.4 
 
 37-2 
 
 55 
 
 250.3 
 
 48.7 
 
 16 
 
 '5-7 
 
 3-1 
 
 76 
 
 74-6 
 
 M.5 
 
 3 6 
 
 133.5 
 
 26. o 
 
 96 
 
 192.4 
 
 37-4 
 
 56 
 
 251-3 
 
 48.8 
 
 17 
 
 16.7 
 
 3-2 
 
 77 
 
 75-6 
 
 14 7 
 
 37 
 
 '34-5 
 
 26.1 
 
 97 
 
 193-4 
 
 37-6 
 
 57 
 
 252.3 
 
 49.0 
 
 18 
 
 17-7 
 
 3-4 
 
 78 
 
 76.6 
 
 14.9 
 
 38 
 
 135-5 
 
 26.3 
 
 98 
 
 194-4 
 
 37-8 
 
 58 
 
 253-3 
 
 49-2 
 
 19 
 
 18.7 
 
 3-6 
 
 79 
 
 77-5 
 
 15. i 
 
 39 
 
 136.4 
 
 26.5 
 
 99 
 
 195-3 
 
 38.0 
 
 59 
 
 .254.2 
 
 49-4 
 
 20 
 
 19. 6 
 
 3-8 
 
 80 
 
 78-5 
 
 15-3 
 
 40 
 
 137-4 
 
 26.7 
 
 200 
 
 196-3 
 
 38.2 
 
 60 
 
 255.2 
 
 49-6 
 
 21 
 
 20. 6 
 
 4.0 
 
 Si 
 
 79-5 
 
 15-5 
 
 141 
 
 138-4 
 
 26. 9 
 
 201 
 
 "97-3 
 
 38-4 
 
 261 
 
 256. 2 
 
 49-8 
 
 22 
 
 21.6 
 
 4-2 
 
 82 
 
 80. 5 
 
 15.6 
 
 42 
 
 39-4 
 
 27. i 
 
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 198.3 
 
 38.5 
 
 62 
 
 257-2 
 
 50. o 
 
 23 
 
 22. 6 
 
 4-4 
 
 83 
 
 81.5 
 
 15.8 
 
 43 
 
 140.4 
 
 27-3 
 
 3 
 
 199.3 
 
 38.7 
 
 63 
 
 258.2 
 
 50.2 
 
 24 
 
 23-6 
 
 4-6 
 
 84 
 
 82.5 
 
 16. o 
 
 44 
 
 141.4 
 
 27-5 
 
 4 
 
 200. 3 
 
 38.9 
 
 64 
 
 259. 
 
 50.4 
 
 25 
 
 24-5 
 
 4.8 
 
 85 
 
 83-4 
 
 16.2 
 
 45 
 
 142-3 
 
 27-7 
 
 05 
 
 201. 2 
 
 39-1 
 
 65 
 
 260. 
 
 50. 6 
 
 26 
 
 25-5 
 
 5- 
 
 86 
 
 84.4 
 
 16. 4 
 
 46 
 
 '43-3 
 
 27.9 
 
 06 
 
 202. 2 
 
 39-3 
 
 66 
 
 26l. 
 
 50.8 
 
 27 
 
 26. 5 
 
 5-2 
 
 87 
 
 85.4 
 
 16. 6 
 
 47 
 
 144-3 
 
 28.0 
 
 7 
 
 203.2 
 
 39-5 
 
 67 
 
 262. 
 
 50.9 
 
 23 
 
 27-5 
 
 5-3 
 
 88 
 
 86.4 
 
 16. 8 
 
 48 
 
 145-3 
 
 28.2 
 
 08 
 
 204. 2 
 
 39-7 
 
 68 
 
 263. 
 
 51.1 
 
 29 
 
 28-5 
 
 5-5 
 
 89 
 
 87.4 
 
 17.0 
 
 49 
 
 146-3 
 
 28.4 
 
 09 
 
 205. 2 
 
 39-9 
 
 69 
 
 264. 
 
 51-3 
 
 3 
 
 29.4 
 
 5-7 
 
 99 
 
 88.3 
 
 17.2 
 
 5 
 
 147.2 
 
 28.6 
 
 10 
 
 206. I 
 
 40. i 
 
 70 
 
 265.0 
 
 51-5 
 
 3' 
 
 3-4 
 
 5-9 
 
 9i 
 
 89-3 
 
 17.4 
 
 15" 
 
 148. 2 
 
 28.8 
 
 211 
 
 207. I 
 
 4-3 
 
 271 
 
 266. o 
 
 51-7 
 
 32 
 
 3'-4 
 
 6. i 
 
 92 
 
 9-3 
 
 17.6 
 
 52 
 
 149-2 
 
 29. o 
 
 12 
 
 208. I 
 
 40.5 
 
 72 
 
 267.0 
 
 5<-9 
 
 33 
 
 32-4 
 
 6-3 
 
 93 
 
 91-3 
 
 7-7 
 
 53 
 
 150. 2 
 
 29. 2 
 
 13 
 
 209. I 
 
 40. 6 
 
 73 
 
 268.0 
 
 52.1 
 
 34 
 
 33-4 
 
 6.5 
 
 94 
 
 92-3 
 
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 54 
 
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 29.4 
 
 14 
 
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 40.8 
 
 74 
 
 269. o 
 
 52.3 
 
 35 
 
 34-4 
 
 6-7 
 
 95 
 
 93-3 
 
 18. i 
 
 55 
 
 152. 2 
 
 29. 6 
 
 15 
 
 211. 
 
 41.0 
 
 75 
 
 269.9 
 
 52.5 
 
 36 
 
 35-3 
 
 6.9 
 
 96 
 
 94. 2 
 
 18.3 
 
 56 
 
 I53-I 
 
 29.8 
 
 16 
 
 212. O 
 
 41.2 
 
 76 
 
 270.9 
 
 52.7 
 
 37 
 
 36.3 
 
 7- i 
 
 97 
 
 95-2 
 
 18.5 
 
 57 
 
 154. I 
 
 3. 
 
 17 
 
 213.0 
 
 41.4 
 
 77 
 
 271.9 
 
 52.9 
 
 3 
 
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 7-3 
 
 98 
 
 96. 2 
 
 18.7 
 
 58 
 
 155-1 
 
 30.1 
 
 18 
 
 214. o 
 
 41. 6 
 
 78 
 
 272.9 
 
 53-0 
 
 39 
 
 38.3 
 
 7-4 
 
 99 
 
 97-2 
 
 18.9 
 
 5 9 
 
 156. I 
 
 30.3 
 
 19 
 
 215. o 
 
 41.8 
 
 79 
 
 273.9 
 
 53-2 
 
 4 
 
 39-3 
 
 7.6 
 
 loo 
 
 98. 2 
 
 19. i 
 
 60 
 
 I57.I 
 
 30.5 
 
 20 
 
 216. o 
 
 42.0 
 
 80 
 
 274.9 
 
 53-4 
 
 41 
 
 40. 2 
 
 7.8 
 
 101 
 
 99- 
 
 19-3 
 
 161 
 
 158.0 
 
 3-7 
 
 221 
 
 2 1 6. 9 
 
 42.2 
 
 281 
 
 275.8 
 
 53-6 
 
 42 
 
 41.2 
 
 8.0 
 
 02 
 
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 62 
 
 159-0 
 
 3-9 
 
 22 
 
 217.9 
 
 42.4 
 
 82 
 
 276.8 
 
 53-8 
 
 43 
 
 42.2 
 
 8.2 
 
 3 
 
 101. 
 
 19- 7 
 
 63 
 
 :6o. o 
 
 3I- 1 
 
 23 
 
 218.9 
 
 42.6 
 
 83 
 
 277.8 
 
 54.0 
 
 44 
 
 43-2 
 
 8.4 
 
 04 
 
 102. 
 
 19.8 
 
 64 
 
 161. o 
 
 3"-3 
 
 24 
 
 219-9 
 
 42.7 
 
 84 
 
 278.8 
 
 54-2 
 
 45 
 
 44-2 
 
 8.6 
 
 5 
 
 13- 
 
 20. o 
 
 65 
 
 162. o 
 
 3'-5 
 
 25 
 
 220. 9 
 
 42.9 
 
 85 
 
 279.8 
 
 54-4 
 
 46 
 
 45-2 
 
 8.8 
 
 06 
 
 I0 4 . 
 
 2O. 2 
 
 66 
 
 163. o 
 
 3i.7 
 
 26 
 
 221.8 
 
 43- ' 
 
 86 
 
 280. 7 
 
 54-6 
 
 47 
 
 46. 
 
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 07 
 
 105. o 
 
 20. 4 
 
 67 
 
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 3i-9 
 
 27 
 
 222.8 
 
 43-3 
 
 87 
 
 281. 7 
 
 54-8 
 
 48 
 
 47- 
 
 9. .2 
 
 08 
 
 1 06. O 
 
 20. 6 
 
 68 
 
 164.9 
 
 32-1 
 
 28 
 
 223.8 
 
 43-5 
 
 88 
 
 282. 7. 
 
 55.0 
 
 49 
 
 4 S. 
 
 9-3 
 
 09 
 
 107. o 
 
 20. S 
 
 69 
 
 165.9 
 
 32.2 
 
 29 
 
 224. 8 
 
 43-7 
 
 89 
 
 283.7 
 
 55-1 
 
 5 
 
 49- 
 
 9-5 
 
 10 
 
 1 08. O 
 
 21. 
 
 70 
 
 1 66. 9 
 
 32-4 
 
 3 
 
 225.8 
 
 43 9 
 
 go 
 
 284^7 
 
 55-3 
 
 51 
 
 5- 
 
 9-7 
 
 III 
 
 109. o 
 
 21. 2 
 
 171 
 
 167.9 
 
 32.6 
 
 231 
 
 22678 
 
 44. i 
 
 291 
 
 285-7 
 
 55-5 
 
 S 2 
 
 51.0 
 
 9-9 
 
 12 
 
 109.9 
 
 21.4 
 
 72 
 
 16?. 8 
 
 32.8 
 
 32 
 
 227.7 
 
 44- 3 
 
 92 
 
 286.6 
 
 55-7 
 
 53 
 
 52.0 
 
 10. I 
 
 '3 
 
 1 10. 9 
 
 21.6 
 
 73 
 
 169.8 
 
 33-0 
 
 33 
 
 228. 7 
 
 44-5 
 
 93 
 
 287.6 
 
 55-9 
 
 54 
 
 53.0 
 
 10.3 
 
 14 
 
 111.9 
 
 21 8 
 
 74 
 
 170.8 
 
 33-2 
 
 34 
 
 229.7 
 
 44.6 
 
 94 
 
 288.6 
 
 56.1 ' 
 
 55 
 
 54-0 
 
 10.5 
 
 15 
 
 112 9 
 
 21.9 
 
 75 
 
 171.8 
 
 33-4 
 
 35 
 
 230. 7 
 
 44-8 
 
 95 
 
 289. 6 
 
 56.3 
 
 56 
 
 55- 
 
 10.7 
 
 16 
 
 113.9 
 
 22. I 
 
 76 
 
 172.8 
 
 33-6 
 
 36 
 
 23>.7 
 
 45- 
 
 96 
 
 290. 6 
 
 56.5 
 
 57 
 
 56. o 
 
 10. 9 
 
 17 
 
 114. 9 
 
 22-3 
 
 77 
 
 73- 7 
 
 33-8 
 
 37 
 
 232. 6 
 
 45-2 
 
 97 
 
 291.5 
 
 56.7 
 
 58 
 
 S 6 9 
 
 ii. i 
 
 18 
 
 115.8 
 
 22.5 
 
 73 
 
 174- 7 
 
 34-0 
 
 38 
 
 233.6 
 
 45-4 
 
 98 
 
 292.5 
 
 56.9 
 
 59 
 
 57-9 
 
 "3 
 
 19 
 
 116.8 
 
 22.7 
 
 79 
 
 175-7 
 
 34-2 
 
 39 
 
 234.6 
 
 45-6 
 
 99 
 
 293-5 
 
 57-i 
 
 60 
 
 58.9 
 
 11.4 
 
 20 
 
 117.8 
 
 22.9 
 
 So 
 
 170. 7 
 
 34-3 
 
 40 
 
 235-6 
 
 45-8 
 
 300 
 
 294-5 
 
 57-2 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 DUt. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist, 
 
 Dcp. 
 
 Lat. 
 
 [For 79 Degrees. 
 
 124: 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 12. 
 
 DUt. 
 
 Lot. 
 
 Dep 
 
 Dlst. 
 
 Ut 
 
 Dep 
 
 Utst 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 nist. 
 
 Lit. 
 
 Dep. 
 
 i 
 
 1.0 
 
 O. 2 
 
 61 
 
 59-7 
 
 '2.7 
 
 121 
 
 118.4 
 
 25.2 
 
 iSi 
 
 177.0 
 
 37-6 
 
 241 
 
 2 35-7 
 
 50. I 
 
 3. 
 
 2.0 
 
 0.4 
 
 62 
 
 60. 6 
 
 12.9 
 
 22 
 
 '19-3 
 
 25-4 
 
 82 
 
 178.0 
 
 37-8 
 
 42 
 
 236-7 
 
 5-3 
 
 3 
 
 2.9 
 
 0.6 
 
 63 
 
 61.6 
 
 13.' 
 
 23 
 
 120. 3 
 
 25.6 
 
 83 
 
 1/9.0 
 
 38. o 
 
 43 
 
 237-7 
 
 5-5 
 
 4 
 
 3-9 
 
 0.8 
 
 64 
 
 62.6 
 
 3-3 
 
 24 
 
 121.3 
 
 2 5 .8 
 
 84 
 
 180. o 
 
 38.3 
 
 44 
 
 238-7 
 
 50.7 
 
 5 
 
 4-9 
 
 1.0 
 
 <>5 
 
 63.6 
 
 '3-5 
 
 25 
 
 122.3 
 
 26. o 
 
 85 
 
 181.0 
 
 38.5 
 
 45 
 
 239.6 
 
 50.9 
 
 6 
 
 5-9 
 
 I. 2 
 
 66 
 
 64.6 
 
 "3-7 
 
 26 
 
 123.2 
 
 26.2 
 
 86 
 
 181.9 
 
 38.7 
 
 46 
 
 240. 6 
 
 51 
 
 7 
 
 6.8 
 
 >-5 
 
 67 
 
 65.5 
 
 '3-9 
 
 27 
 
 124.2 
 
 26.4 
 
 87 
 
 182.9 
 
 38.9 
 
 47 
 
 241. 6 
 
 5'-4 
 
 8 
 
 7.8 
 
 ' 7 
 
 6S 
 
 60. 5 
 
 14. i 
 
 28 
 
 125.2 
 
 26.6 
 
 88 
 
 '83.9 
 
 39-1 
 
 48 
 
 242.6 
 
 51-6 
 
 9 
 
 8.8 
 
 1.9 
 
 69 
 
 67.5 
 
 14-3 
 
 29 
 
 126. 2 
 
 26.8 
 
 89 
 
 184.9 
 
 39-3 
 
 49 
 
 2*3- 6 
 
 51.8 
 
 10 
 
 9.8 
 
 2. I 
 
 70 
 
 68. 5 
 
 14. 6 
 
 3 
 
 127. 2 
 
 27.0 
 
 90 
 
 185.8 
 
 39-5 
 
 5 
 
 244- 5 
 
 52.0 
 
 ii 
 
 10. 8 
 
 2-3 
 
 7i 
 
 69.4 
 
 14.8 
 
 '3 1 
 
 123. I 
 
 27.2 
 
 191 
 
 1 86. 8 
 
 39-7 
 
 251 
 
 245-5 
 
 52.2 
 
 12 
 
 11.7 
 
 2-5 
 
 72 
 
 70.4 
 
 15.0 
 
 y- 
 
 129. I 
 
 27.4 
 
 92 
 
 187.8 
 
 39-9 
 
 52 
 
 246.5 
 
 52.4 
 
 '3 
 
 12.7 
 
 2.7 
 
 73 
 
 71.4 
 
 15.2 
 
 33 
 
 130. I 
 
 27.7 
 
 93 
 
 1 88. 8 
 
 40. i 
 
 53 
 
 247-5 
 
 52.6 
 
 >4 
 
 3-7 
 
 2.9 
 
 74 
 
 72.4 
 
 15-4 
 
 34 
 
 i3- 
 
 27-9 
 
 94 
 
 189.8 
 
 40.3 
 
 54 
 
 248.4 
 
 52.8 
 
 1C 
 
 "4. 7 
 
 3-i 
 
 75 
 
 73-4 
 
 15.6 
 
 35 
 
 132.0 
 
 28. i 
 
 95 
 
 190. 7 
 
 40.5 
 
 55 
 
 249.4 
 
 53.0 
 
 10 
 
 '5-7 
 
 3-3 
 
 76 
 
 74-3 
 
 '5-8 
 
 3 6 
 
 '33- 
 
 28.3 
 
 96 
 
 191.7 
 
 40. 8 
 
 56 
 
 250.4 
 
 53-2 
 
 '7 
 
 16.6 
 
 3-5 
 
 77 
 
 75-3 
 
 16. o 
 
 37 
 
 134-0 
 
 28.5 
 
 97 
 
 192. 7 
 
 41.0 
 
 57 
 
 251.4 
 
 53-4 
 
 Io 
 
 17.6 
 
 3-7 
 
 78 
 
 76.3 
 
 1 6. 2 
 
 38 
 
 '35-o 
 
 28.7 
 
 98 
 
 '93-7 
 
 41.2 
 
 58 
 
 252.4 
 
 53-6 
 
 19 
 
 18. 6 
 
 4.0 
 
 79 
 
 77-3 
 
 16.4 
 
 39 
 
 136.0 
 
 28.9 
 
 99 
 
 194-7 
 
 41-4 
 
 59 
 
 253-3 
 
 53-8 
 
 20 
 
 19. 6 
 
 4.2 
 
 80 
 
 78.3 
 
 16. 6 
 
 40 
 
 '36.9 
 
 20. I 
 
 200 
 
 195.6 
 
 41. 6 
 
 60 
 
 254-3 
 
 54.1 
 
 21 
 
 20.5 
 
 4-4 
 
 Si 
 
 79.2 
 
 16.8 
 
 141 
 
 137.9 
 
 29-3 
 
 201 
 
 196.6 
 
 41.8 
 
 261 
 
 2 55.3 
 
 54-3 
 
 22 
 
 21.5 
 
 4.6 
 
 82 
 
 80.2 
 
 17.0 
 
 42 
 
 138.9 
 
 29.5 
 
 O2 
 
 197.6 
 
 42. o 
 
 62 
 
 256.3 
 
 54-5 
 
 23 
 
 22.5 
 
 4-8 
 
 83 
 
 81.2 
 
 '7-3 
 
 43 
 
 >39-9 
 
 29.7 
 
 3 
 
 198. 6 
 
 42.2 
 
 63 
 
 257.3 
 
 54-7 
 
 24 
 
 23-5 
 
 5- 
 
 84 
 
 82.2 
 
 17-5 
 
 44 
 
 140.9 
 
 29.9 
 
 04, 
 
 199.5 
 
 42-4 
 
 64 
 
 258. 2 
 
 54-9 
 
 25 
 
 24.5 
 
 5-2 
 
 85 
 
 83- 
 
 '7-7 
 
 45 
 
 141.8 
 
 30.1 
 
 5 
 
 200. 5 
 
 42. 6 
 
 65 
 
 259.2 
 
 55- 1 
 
 2O 
 
 25.4 
 
 5-4 
 
 86 
 
 84. 
 
 17.9 
 
 46 
 
 142.8 
 
 3-4 
 
 06 
 
 201. 5 
 
 42.8 
 
 66 
 
 260. 2 
 
 55-3 
 
 27 
 
 26.4 
 
 5-6 
 
 87 
 
 85- 
 
 1 8. i 
 
 47 
 
 143-8 
 
 30. 6 
 
 7 
 
 202. 5 
 
 43- 
 
 67 
 
 26l. 2 
 
 55-5 
 
 28 
 
 27.4 
 
 5-8 
 
 88 
 
 86. 
 
 '8-3 
 
 48 
 
 144-8 
 
 30.8 
 
 08 
 
 203-5 
 
 43-2 
 
 68 
 
 262. 
 
 55-7 
 
 29 
 
 28.4 
 
 6. o 
 
 89 
 
 87- 
 
 18.5 
 
 49 
 
 MS- 7 
 
 3'- 
 
 09 
 
 204.4 
 
 43-5 
 
 -69 
 
 263. 
 
 55-9 
 
 3 
 
 29-3 
 
 6.2 
 
 90 
 
 83.o 
 
 18.7 
 
 5 
 
 1-46. 7 
 
 31.2 
 
 IO 
 
 205.4 
 
 43-7 
 
 70 
 
 264. 
 
 56.1 
 
 3' 
 
 3-3 
 
 6.4 
 
 91 
 
 89.0 
 
 18.9 
 
 "5 
 
 147-7 
 
 3i-4 
 
 211 
 
 206.4 
 
 43-9 
 
 271 
 
 265. 
 
 56-3 
 
 32 
 
 .31-3 
 
 6-7 
 
 92 
 
 90. o 
 
 19. i 
 
 52 
 
 148-7 
 
 31.6 
 
 12 
 
 207.4 
 
 44- l 
 
 72 
 
 266. 
 
 56.6 
 
 33 
 
 32.3 
 
 6.9 
 
 93 
 
 91.0 
 
 '9-3 
 
 53 
 
 '49- 7 
 
 31-8 
 
 '3 
 
 208.3 
 
 44-3 
 
 73 
 
 267. o 
 
 56.8 
 
 34 
 
 33-3 
 
 7-1 
 
 94 
 
 91.9 
 
 9-5 
 
 54 
 
 150. 6 
 
 32.0 
 
 H 
 
 209.3 
 
 44-5 
 
 74 
 
 2&8.0 
 
 57-o 
 
 35 
 
 34-2 
 
 7-3 
 
 95 
 
 92-9 
 
 19.8 
 
 55 
 
 151. 6 
 
 32.2 
 
 '5 
 
 210. 3 
 
 44-7 
 
 75 
 
 269. o 
 
 57-2 
 
 36 
 
 35- 2 
 
 7-5 
 
 96 
 
 93-9 
 
 20. O 
 
 5 
 
 152. 6 
 
 32-4 
 
 16 
 
 211.3 
 
 44-9 
 
 76 
 
 270. o 
 
 57-4 
 
 37 
 
 36.2 
 
 7-7 
 
 97 
 
 94-9 
 
 20. 2 
 
 57 
 
 '53-6 
 
 32.6 
 
 17 
 
 212. 3 
 
 45-1 
 
 77 
 
 270.9 
 
 57-6 
 
 33 
 
 37-2 
 
 7-9 
 
 98 
 
 95-9 
 
 20.4 
 
 58 
 
 154.5 
 
 32-9 
 
 18 
 
 213.2 
 
 45-3 
 
 78 
 
 271.9 
 
 57-8 
 
 39 
 
 38-1 
 
 8. i 
 
 99 
 
 96.8 
 
 20. 6 
 
 59 
 
 '55-5 
 
 33-' 
 
 '9 
 
 214. 2 
 
 45-5 
 
 79 
 
 272.9 
 
 58.0 
 
 40 
 
 39-1 
 
 8-3 
 
 ICO 
 
 97-8 
 
 20. 8 
 
 60 
 
 156-5 
 
 33- 3 
 
 20 
 
 215.2 
 
 45-7 
 
 80 
 
 273-9 
 
 58.2 
 
 4' 
 
 40. i 
 
 8.5 
 
 101 
 
 98.8 
 
 21. 
 
 161 
 
 157-5 
 
 33-5 
 
 221 
 
 2l6. 2 
 
 45-9 
 
 281 
 
 274-9 
 
 58-4 
 
 42 
 
 41.1 
 
 8-7. 
 
 02 
 
 99.8 
 
 21.2 
 
 62 
 
 158.5 
 
 33-7 
 
 22 
 
 217. I 
 
 46. 2 
 
 82 
 
 275.8 
 
 58.6 
 
 43 
 
 42. i 
 
 8-9 
 
 03 
 
 loo. 7 
 
 21.4 
 
 63 
 
 159.4 
 
 33-9 
 
 23 
 
 2iS. I 
 
 40.4 
 
 83 
 
 276.8 
 
 58.8 
 
 44 
 
 43- 
 
 9- i 
 
 04 
 
 101. 7 
 
 21.6 
 
 04 
 
 160. 4 
 
 34-1 
 
 2 4 
 
 219. I 
 
 46.6 
 
 84 
 
 277.8 
 
 59.0 
 
 45 
 
 44.0 
 
 9-4 
 
 5 
 
 102. 7 
 
 21.8 
 
 65 
 
 161.4 
 
 34-3 
 
 25 
 
 220. I 
 
 46. ft 
 
 85 
 
 278.8 
 
 59-3 
 
 46 
 
 45.0 
 
 9.6 
 
 06 
 
 i3-7 
 
 22. O 
 
 66 
 
 162.4 
 
 34-5 
 
 26 
 
 221. I 
 
 47.0 
 
 86 
 
 279.8 
 
 59-5 
 
 47 
 
 46. o 
 
 9.8 
 
 07 
 
 104. 7 
 
 22. 2 
 
 07 
 
 163.4 
 
 34-7 
 
 27 
 
 222. O 
 
 47. 2 
 
 87 
 
 280. 7 
 
 59-7 
 
 48 
 
 47.0 
 
 10. o 
 
 08 
 
 105-7 
 
 22.5 
 
 68 
 
 164.3 
 
 34-9 
 
 28 
 
 223, o 
 
 47-4 
 
 88 
 
 281. 7 
 
 59-9 
 
 49 
 
 47-9 
 
 IO. 2 
 
 09 
 
 106. 6 
 
 22. 7 
 
 69 
 
 '65.3 
 
 35-' 
 
 29 
 
 224. o 
 
 47-6 
 
 89 
 
 282. 7 
 
 60. i 
 
 5 
 
 48.9 
 
 10. 4 
 
 IO 
 
 107. 6 
 
 22.9 
 
 70 
 
 166. 3 
 
 35-3 
 
 3 
 
 225. o 
 
 47-8 
 
 90 
 
 283-7 
 
 60. 3 
 
 5 1 
 
 49-9 
 
 10. t> 
 
 III 
 
 108. 6 
 
 2 3- 1 
 
 171 
 
 ' 6 7-3 
 
 35-6 
 
 23" 
 
 226. o 
 
 4!! o 
 
 291 
 
 284.6 
 
 60.5 
 
 5 2 
 
 50.9 
 
 10.8 
 
 12 
 
 109. 6 
 
 23-3 
 
 72 
 
 163.2 
 
 35-8 
 
 3 2 
 
 226. 9 
 
 48.2 
 
 92 
 
 285.6 
 
 60.7 
 
 53 
 
 SI'S 
 
 11. 
 
 '3 
 
 no. 5 
 
 23-5 
 
 73 
 
 169. 2 
 
 36. o 
 
 33 
 
 227.9 
 
 48.4 
 
 93 
 
 286.6 
 
 60. 9 
 
 54 
 
 52.8 
 
 II. 2 
 
 '4 
 
 in. 5 
 
 23-7 
 
 74 
 
 I7O. 2 
 
 36.2 
 
 34 
 
 228.9 
 
 48.7 
 
 94 
 
 287.6 
 
 61.1 
 
 55 
 
 53-8 
 
 II. 4 
 
 15 
 
 112.5 
 
 23-9 
 
 75 
 
 I7I.2 
 
 3 6 -4 
 
 35 
 
 229. 9 
 
 48.9 
 
 95 
 
 288.6 
 
 6'-3 
 
 56 
 
 54.8 
 
 II. 6 
 
 IO 
 
 "3-5 
 
 24. I 
 
 76 
 
 ?72.2 
 
 36.6 
 
 36 
 
 230.8 
 
 49- I 
 
 96 
 
 289-5 
 
 oi. 5 
 
 57 
 
 55-8 
 
 II. 9 
 
 '7 
 
 114.4 
 
 24.3 
 
 77 
 
 173-1 
 
 36.8 
 
 37 
 
 231.8 
 
 49-3 
 
 97 
 
 290.5 
 
 61.7 
 
 53 
 
 50.7 
 
 12. I 
 
 18 
 
 115.4 
 
 24.5 
 
 /8 
 
 174. i 
 
 37-o 
 
 38 
 
 232.8 
 
 49-5 
 
 98 
 
 291-5 
 
 62.0 
 
 5 9 
 
 57-7 
 
 12.3 
 
 19 
 
 110.4 
 
 24. 7 
 
 79 
 
 175.1 
 
 37.2 
 
 39 
 
 233.8 
 
 49- 7 
 
 99 
 
 292.5 
 
 62.2 
 
 60 
 
 58.7 
 
 12.5 
 
 20 
 
 117.4 
 
 24.9 
 
 So 
 
 176.1 
 
 37-4 
 
 40 
 
 234.8 
 
 49-9 
 
 300 
 
 293-4 
 
 62.4 
 
 Dlst. 
 
 Dap. 
 
 Lat. 
 
 Dlst. 
 
 Dop. 
 
 Lat. 
 
 Dlst. 
 
 Dep 
 
 Lat. 
 
 Dlt, 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep 
 
 Lat. 
 
 [For 78 Degrees. 
 
 125 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 13. 
 
 Ilist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 I 
 
 I.o 
 
 0. 2 
 
 61 
 
 59-4 
 
 13-7 
 
 121 
 
 II7.9 
 
 27.2 
 
 181 
 
 176.4 
 
 40. 7 
 
 241 
 
 234.8 
 
 54-2 
 
 2 
 
 1.9 
 
 0.4 
 
 62 
 
 00.4 
 
 13-9 
 
 22 
 
 118.9 
 
 27.4 
 
 82 
 
 177-3 
 
 40.9 
 
 42 
 
 235-8 
 
 54-4 
 
 3 
 
 2.9 
 
 o. 7 
 
 63 
 
 61.4 
 
 14.2 
 
 23 
 
 II9.8 
 
 27.7 
 
 83 
 
 178.3 
 
 4 1.2 
 
 43 
 
 236.8 
 
 54-7 
 
 4 
 
 3-9 
 
 0.9 
 
 64 
 
 62. 4 
 
 14.4 
 
 24 
 
 120. & 
 
 27.9 
 
 84 
 
 179-3 
 
 41.4 
 
 44 
 
 237-7 
 
 54-9 
 
 5 
 
 4-9 
 
 I. I 
 
 65 
 
 63-3 
 
 14. 6 
 
 2 5 
 
 121. 8 
 
 23. I 
 
 85 
 
 180.3 
 
 41. 6 
 
 45 
 
 238.7 
 
 55-1 
 
 6 
 
 5-8 
 
 1.3 
 
 66 
 
 64-3 
 
 14.8 
 
 26 
 
 122.8 
 
 28.3 
 
 86 
 
 181.2 
 
 41.8 
 
 46 
 
 239.7 
 
 55-3 
 
 7 
 
 6.8 
 
 1.6 
 
 67 
 
 65.3 
 
 15. i 
 
 27 
 
 123.7 
 
 28.6 
 
 87 
 
 182.2 
 
 42.1 
 
 47 
 
 240.7 
 
 55-6 
 
 8 
 
 7-8 
 
 1.8 
 
 68 
 
 66.3 
 
 15-3 
 
 23 
 
 124.7 
 
 28.8 
 
 88 
 
 183.2 
 
 42-3 
 
 48 
 
 241. 6 
 
 55-8 
 
 9 
 
 8.8 
 
 2. O 
 
 69 
 
 67.2 
 
 15-5 
 
 ?9 
 
 125.7 
 
 29. o 
 
 89 
 
 184. 2 
 
 42.5 
 
 49 
 
 242.6 
 
 56. o 
 
 10 
 
 9-7 
 
 2. 2 
 
 70 
 
 68.2 
 
 15-7 
 
 3 
 
 126. 7 
 
 2Q. 2 
 
 90 
 
 185. I 
 
 <2.7 
 
 50 
 
 243.6 
 
 56-2 
 
 II 
 
 10.7 
 
 2-5 
 
 7 
 
 69. 2 
 
 16. o 
 
 I3 1 
 
 127.6 
 
 29.5 
 
 191 
 
 1 86. i 
 
 43- 
 
 251 
 
 244.6 
 
 56.5 
 
 12 
 
 n. 7 
 
 2.7 
 
 72 
 
 70.2 
 
 16.2 
 
 3 2 
 
 128.6 
 
 29-7 
 
 92 
 
 187. i 
 
 43-2 
 
 52 
 
 245-5 
 
 56.7 
 
 13 
 
 12.7 
 
 2.9 
 
 73 
 
 7I.I 
 
 16. 4 
 
 33 
 
 129. 6 
 
 29.9 
 
 93 
 
 iSS. i 
 
 43-4 
 
 53 
 
 246.5 
 
 56.9 
 
 >4 
 
 13.6 
 
 3-> 
 
 74 
 
 72.1 
 
 16.6 
 
 34 
 
 130. 6 
 
 30.1 
 
 94 
 
 189.0 
 
 43-6 
 
 54 
 
 247-5 
 
 57-1 
 
 15 
 
 14. 6 
 
 3-4 
 
 75 
 
 73-1 
 
 16.9 
 
 35 
 
 13I-5 
 
 3-4 
 
 95 
 
 190.0 
 
 43-9 
 
 55 
 
 248.5 
 
 57-4 
 
 16 
 
 15.6 
 
 3-6 
 
 76 
 
 74-1 
 
 17.1 
 
 S 6 
 
 132-5 
 
 30. 6 
 
 96 
 
 191. o 
 
 44. i 
 
 56 
 
 249-4 
 
 57-6 
 
 17 
 
 16. 6 
 
 3-8 
 
 77 
 
 75-o 
 
 17-3 
 
 37 
 
 133-5 
 
 30.8 
 
 97 
 
 192.0 
 
 44-3 
 
 57 
 
 250.4 
 
 57-8 
 
 18 
 
 '75 
 
 4.0 
 
 78 
 
 76.0 
 
 17-5 
 
 38 
 
 134-5 
 
 31. o 
 
 98 
 
 192.9 
 
 44-5 
 
 58 
 
 251.4 
 
 58.0 
 
 19 
 
 18.5 
 
 4-3 
 
 79 
 
 77.0 
 
 17.8 
 
 39 
 
 135-4 
 
 3'-3 
 
 99 
 
 i'93- 9 
 
 44-8 
 
 59 
 
 252.4 
 
 58.3 
 
 20 
 
 '9-5 
 
 4-5 
 
 80 
 
 77-9 
 
 18. o 
 
 40 
 
 136.4 
 
 31-5 
 
 200 
 
 194.9 
 
 45- 
 
 60 
 
 253-3 
 
 58-5 
 
 21 
 
 20. 5 
 
 4-7 
 
 81 
 
 78.9 
 
 1 8. 2 
 
 141 
 
 137-4 
 
 3'-7 
 
 201 
 
 195.8 
 
 45.2 
 
 261 
 
 2 54.3 
 
 58.7 
 
 22 
 
 21.4 
 
 4-9 
 
 82 
 
 79-9 
 
 18.4 
 
 42 
 
 138.4 
 
 3'- 9 
 
 O2 
 
 196.8 
 
 45-4 
 
 62 
 
 255- 3 
 
 58.9 
 
 23 
 
 22.4 
 
 5-2 
 
 83 
 
 80.9 
 
 18.7 
 
 43 
 
 139-3 
 
 32.2 
 
 3 
 
 197-8 
 
 45-7 
 
 63 
 
 256.3 
 
 59-2 
 
 24 
 
 23-4 
 
 5-4 
 
 84 
 
 81.8 
 
 18.9 
 
 44 
 
 140-3 
 
 3 2 -4 
 
 4 
 
 198.8 
 
 45-9 
 
 64 
 
 257-2 
 
 59-4 
 
 25 
 
 24.4 
 
 5-6 
 
 85 
 
 82.8 
 
 19- l 
 
 45 
 
 141-3 
 
 32. 6 
 
 5 
 
 199-7 
 
 46. i 
 
 65 
 
 258.2 
 
 59-6 
 
 26 
 
 25-3 
 
 5-8 
 
 86 
 
 83.8 
 
 19-3 
 
 46 
 
 142.3 
 
 32.3 
 
 06 
 
 200. 7 
 
 46-3 
 
 66 
 
 259.2 
 
 59-8 
 
 27 
 
 26.3 
 
 6. i 
 
 87 
 
 84.8 
 
 19.6 
 
 47 
 
 143.2 
 
 33-' 
 
 07 
 
 201. 7 
 
 46. 6 
 
 67 
 
 260.2 
 
 60. i 
 
 28 
 
 27-3 
 
 6-3 
 
 88 
 
 85.7 
 
 19.8 
 
 48 
 
 144.2 
 
 33-3 
 
 08 
 
 202. 7 
 
 46.8 
 
 68 
 
 261. i 
 
 60.3 
 
 29 
 
 28.3 
 
 6-5 
 
 89 
 
 86.7 
 
 20. O 
 
 49 
 
 145.2 
 
 33-5 
 
 09 
 
 203. 6 
 
 47.0 
 
 69 
 
 262. i 
 
 60. 5 
 
 3 
 
 29. 2 
 
 6-7 
 
 90 
 
 87.7 
 
 20. 2 
 
 5 
 
 146. 2 
 
 33-7 
 
 10 
 
 204, 6 
 
 47-2 
 
 70 
 
 263. i 
 
 60. 7 
 
 3 1 
 
 30.2 
 
 7.0 
 
 9' 
 
 88.7 
 
 20.5 
 
 5i 
 
 I47.I 
 
 34-0 
 
 211 
 
 205. 6 
 
 47-5 
 
 271 
 
 264. i 
 
 61. o 
 
 32 
 
 31.2 
 
 7.2 
 
 92 
 
 89.6 
 
 20. 7 
 
 S 2 
 
 148. I 
 
 34-2 
 
 12 
 
 206. 6 
 
 47-7 
 
 72 
 
 265. o 
 
 61.2 
 
 33 
 
 32.2 
 
 7-4 
 
 93 
 
 90. 6 
 
 20. 9 
 
 53 
 
 149. I 
 
 34-4 
 
 '3 
 
 207.5 
 
 47-9 
 
 73 
 
 266.0 
 
 61.4 
 
 34 
 
 33-' 
 
 7-6 
 
 94 
 
 91. 6 
 
 21. I 
 
 54 
 
 150. I 
 
 34-6 
 
 14 
 
 208. 5- 
 
 48. i 
 
 74 
 
 267. o 
 
 61.6 
 
 35 
 
 34-1 
 
 7-9 
 
 95 
 
 92. 6 
 
 21.4 
 
 55 
 
 151. o 
 
 34-9 
 
 15 
 
 209.5 
 
 48.4 
 
 75 
 
 268.0 
 
 61. 9 
 
 36 
 
 35-i 
 
 8.1 
 
 96 
 
 93-5 
 
 21.6 
 
 56 
 
 152. o 
 
 35-1 
 
 16 
 
 210. 5 
 
 48.6 
 
 76 
 
 268.9 
 
 62.1 
 
 37 
 
 36.1 
 
 8-3 
 
 97 
 
 94-5 
 
 21.8 
 
 57 
 
 153.0 
 
 35-3 
 
 17 
 
 211.4 
 
 48.8 
 
 77 
 
 269.9 
 
 62.3 
 
 3S 
 
 37-0 
 
 8-5 
 
 98 
 
 95-5 
 
 22. O 
 
 58 
 
 154.0 
 
 35-5 
 
 18 
 
 212. 4 
 
 49.0 
 
 78 
 
 270.9 
 
 62.5 
 
 39 
 
 38.0 
 
 8.8 
 
 99 
 
 96.5 
 
 22.3 
 
 59 
 
 154.9 
 
 35-8 
 
 19 
 
 213-4 
 
 49-3 
 
 79 
 
 271.8 
 
 62.8 
 
 40 
 
 39- 
 
 9.0 
 
 100 
 
 97-4 
 
 22.5 
 
 60 
 
 155-9 
 
 36. o 
 
 20 
 
 214.4 
 
 49-5 
 
 80 
 
 272.8 
 
 63. o 
 
 41 
 
 39-9 
 
 9.2 
 
 101 
 
 98:4 
 
 22.7 
 
 161 
 
 156.9 
 
 36.2 
 
 221 
 
 215-3 
 
 49- 7 
 
 281 
 
 273-8 
 
 63.2 
 
 42 
 
 40.9 
 
 9-4 
 
 02 
 
 99-4 
 
 22.9 
 
 62 
 
 157.8 
 
 36.4 
 
 22 
 
 216. 3 
 
 49-9 
 
 82 
 
 274.8 
 
 6>4 
 
 43 
 
 41.9 
 
 9-7 
 
 3 
 
 100.4 
 
 23. 2 
 
 63 
 
 158.8 
 
 36.7 
 
 23 
 
 217-3 
 
 50.2 
 
 83 
 
 275-7 
 
 63.7 
 
 44 
 
 42.9 
 
 9.9 
 
 04 
 
 101.3 
 
 23-4 
 
 64 
 
 159.8 
 
 36-9 
 
 24 
 
 218.3 
 
 5-4 
 
 84 
 
 276-7 
 
 63-9 
 
 45 
 
 43-8 
 
 10. I 
 
 5 
 
 102.3 
 
 23-6 
 
 65 
 
 160.8 
 
 37-1 
 
 25 
 
 219. 2 
 
 50. 6 
 
 85 
 
 277.7 
 
 64.1 
 
 46 
 
 44.8 
 
 10. 3 
 
 06 
 
 i3-3 
 
 23-8 
 
 66 
 
 161. 7 
 
 37-3 
 
 26 
 
 22O. 2 
 
 50.8 
 
 86 
 
 278.7 
 
 64-3 
 
 47 
 
 45-8 
 
 10.6 
 
 07 
 
 104.3 
 
 2 4 . I 
 
 67 
 
 162.7 
 
 37-6 
 
 27 
 
 221.2 
 
 51.1 
 
 87 
 
 279.6 
 
 64.6 
 
 48 
 
 46.8 
 
 10.8 
 
 08 
 
 105. 2 
 
 24-3 
 
 68 
 
 l6 3-7 
 
 37-8 
 
 28 
 
 222. 2 
 
 5'-3 
 
 88 
 
 280.6 
 
 64.8 
 
 49 
 
 47-7 
 
 II. O 
 
 09 
 
 1 06. 2 
 
 24-5 
 
 69 
 
 164. 7 
 
 38.0 
 
 2 9 
 
 223. I 
 
 5'-5 
 
 89 
 
 281.6 
 
 65. o 
 
 5 
 
 48.7 
 
 II. 2 
 
 :o 
 
 107. 2 
 
 2 4 .7 
 
 70 
 
 165.6 
 
 38.2 
 
 3 
 
 224. I 
 
 51-7 
 
 90 
 
 282.6 
 
 65. 2 
 
 5 1 
 
 49- 7 
 
 ii-5 
 
 in 
 
 1 08. 2 
 
 25. o 
 
 171 
 
 166. 6 
 
 3-S 
 
 231 
 
 225.1 
 
 52-0 
 
 291 
 
 283.5 
 
 65.5 
 
 5 2 
 
 5-7 
 
 n. 7 
 
 12 
 
 log. I 
 
 25.2 
 
 72 
 
 167.6 
 
 38.7 
 
 32 
 
 226. I 
 
 52.2 
 
 92 
 
 284.5 
 
 65.7 
 
 53 
 
 51.6 
 
 u. 9 
 
 13 
 
 I 10. I 
 
 25.4 
 
 73 
 
 168.6 
 
 38.9 
 
 33 
 
 227. o 
 
 52.4 
 
 93 
 
 285.5 
 
 65.9 
 
 54 
 
 52-6 
 
 12. I 
 
 '4 
 
 III. I 
 
 2 5 .6 
 
 74 
 
 169.5 
 
 39-1 
 
 34 
 
 228.0 
 
 52-6 
 
 94 
 
 286.5 
 
 66. i 
 
 55 
 
 53-6 
 
 12.4 
 
 15 
 
 112. I 
 
 25.9 
 
 75 
 
 >7o.5 
 
 39-4 
 
 35 
 
 229. o 
 
 52.9 
 
 95 
 
 287.4 
 
 66.4 
 
 5 6 
 
 54-6 
 
 12.6 
 
 16 
 
 113. o 
 
 26. I 
 
 76 
 
 171.5 
 
 39-6 
 
 36 
 
 230. o 
 
 53-1 
 
 96 
 
 288.4 
 
 66.6 
 
 57 
 
 55-5 
 
 12.8 
 
 '7 
 
 114. o 
 
 26.3 
 
 77 
 
 172.5 
 
 39-8 
 
 37 
 
 230.9 
 
 53-3 
 
 97 
 
 289.4 
 
 66.8 
 
 58 
 
 56.5 
 
 13.0 
 
 18 
 
 II5.0 
 
 26. 5 
 
 78 
 
 173-4 
 
 40. o 
 
 38 
 
 231-9 
 
 53-5 
 
 98 
 
 290.4 
 
 67. o 
 
 59 
 
 57-5 
 
 13.3 
 
 39 
 
 u6. o 
 
 26.8 
 
 79 
 
 174-4 
 
 40.3 
 
 39 
 
 232.9 
 
 53-8 
 
 99 
 
 291.3 
 
 67.3 
 
 60 
 
 58.5 
 
 13.5 
 
 20 
 
 116.9 
 
 27.0 
 
 80 
 
 175-4 
 
 40.5 
 
 40 
 
 233.8 
 
 54.0 
 
 300 
 
 292.3 
 
 67.5 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 "Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 77 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 14. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Ulsl. 
 
 tut 
 
 Dep. 
 
 I 
 
 I. O 
 
 O. 2 
 
 61 
 
 59-2 
 
 14. 8 
 
 121 
 
 II7.4 
 
 29-3 
 
 181 
 
 175-6 
 
 43- * 
 
 241 
 
 233- s 
 
 58-3 
 
 2 
 
 1. 9 
 
 0.5 
 
 62 
 
 60. 2 
 
 15-0 
 
 22 
 
 118.4 
 
 29. 5 
 
 82 
 
 176. 6 
 
 44.0 
 
 42 
 
 234-8 
 
 5 s - 5 
 
 3 
 
 2.9 
 
 0.7 
 
 63 
 
 61. i 
 
 15-2 
 
 23 
 
 "9- 3 
 
 29.8 
 
 83 
 
 177.6 
 
 44- 3 
 
 43 
 
 235. 8 
 
 58 J 
 
 4 
 
 3-9 
 
 . O 
 
 64 
 
 62. I 
 
 '5-5 
 
 24 
 
 120. 3 
 
 30.0 
 
 84 
 
 178.5 
 
 44- 5 
 
 44 
 
 230. 8 
 
 50. o 
 
 5 
 
 4-9 
 
 .2 
 
 
 63.1 
 
 "5-7 
 
 2 5 
 
 121.3 
 
 30. 2 
 
 85 
 
 '79- 5 
 
 44.8 
 
 45 
 
 237- 7 
 
 5* 3 
 
 6 
 
 5-8 
 
 5 
 
 66 
 
 64. o 
 
 16. o 
 
 26 
 
 122.3 
 
 3-5 
 
 So 
 
 180. 5 
 
 45.0 
 
 46 
 
 238. 7 
 
 5*5 
 
 7 
 
 6.8 
 
 7 
 
 67 
 
 65. c 
 
 16. 2 
 
 27 
 
 123.2 
 
 3?- 7 
 
 87 
 
 181.4 
 
 45-2 
 
 47 
 
 239- 7 
 
 59.8 
 
 8 
 
 7-8 
 
 9 
 
 68 
 
 65.o 
 
 16.5 
 
 28 
 
 124. 2 
 
 31.0 
 
 88 
 
 182.4 
 
 45-5 
 
 48 
 
 240. 6 
 
 bo. o 
 
 9 
 
 8-7 
 
 2. 2 
 
 69 
 
 67. o 
 
 16.7 
 
 29 
 
 135.2 
 
 
 89 
 
 183.4 
 
 45- 7 
 
 49 
 
 241. 6 
 
 60. 2 
 
 10 
 
 9-7 
 
 2. 4 
 
 70 
 
 67-9 
 
 1 6. 9 
 
 30 
 
 126. 1 
 
 3'-4 
 
 90 
 
 (84. 4 
 
 46. o 
 
 5 
 
 242. 6 
 
 60.5 
 
 ii 
 
 10.7 
 
 2- 7 
 
 7' 
 
 68.9 
 
 17.2 
 
 '3' 
 
 127. 1 
 
 3'-7 
 
 191 
 
 185.3 
 
 46. 2 
 
 251 
 
 243- 5 
 
 60. 7 
 
 12 
 
 n. 6 
 
 2.9 
 
 72 
 
 69.9 
 
 17.4 
 
 32 
 
 128. 1 
 
 3'-9 
 
 92 
 
 186.3 
 
 46.4 
 
 S 2 
 
 244- 5 
 
 61. o 
 
 3 
 
 12.6 
 
 3- 1 
 
 73 
 
 70.8 
 
 '7-7 
 
 33 
 
 129. o 
 
 32-2 
 
 93 
 
 '87.3 
 
 46.7 
 
 53 
 
 245-5 
 
 61. i 
 
 >4 
 
 13-6 
 
 3-4 
 
 74 
 
 71.8 
 
 17-9 
 
 34 
 
 130.0 
 
 32-4 
 
 94- 
 
 188.2 
 
 46.9 
 
 54 
 
 246. 5 
 
 61.4 
 
 '5 
 
 14.6 
 
 3-6 
 
 75 
 
 72.8 
 
 18. i 
 
 35 
 
 131.0 
 
 32-7 
 
 95 
 
 I8g. 2 
 
 47-2 
 
 55 
 
 247-4 
 
 Oi. 7 
 
 16 
 
 >5-5 
 
 3-9 
 
 76 
 
 73-7 
 
 18.4 
 
 36 
 
 132.0 
 
 32.9 
 
 96 
 
 190. 2 
 
 47-4 
 
 5 s 
 
 248.4 
 
 61. 9 
 
 '7 
 
 16.5 
 
 4.1 
 
 77 
 
 74-7 
 
 18.6 
 
 37 
 
 132.9 
 
 33-' 
 
 97 
 
 191. I 
 
 47- 7 
 
 57 
 
 249. 4 
 
 62.2 
 
 iS 
 
 '7-5 
 
 4.4 
 
 78 
 
 75-7 
 
 18.9 
 
 3 8 
 
 '33-9 
 
 33-4 
 
 98 
 
 192. I 
 
 47-9 
 
 
 25"- 3 
 
 62.4 
 
 19 
 
 18.4 
 
 4.6 
 
 Z 9 
 
 76.7 
 
 19.1 
 
 39 
 
 '34-9 
 
 33-6 
 
 99 
 
 193- 
 
 48. i 
 
 59 
 
 2 5'-3 
 
 62. 7 
 
 20 
 
 19.4 
 
 4-8 
 
 80 
 
 77-6 
 
 19.4 
 
 40 
 
 '35-8 
 
 33-9 
 
 200 
 
 194. I 
 
 48.4 
 
 60 
 
 252. 1 
 
 62. 9 
 
 21 
 
 20.4 
 
 5- ' 
 
 81 
 
 78.6 
 
 19. 6 
 
 141 
 
 136.8 
 
 34-1 
 
 201 
 
 195-0 
 
 48.6 
 
 201 
 
 253. 2 
 
 63.1 
 
 22 
 
 21.3 
 
 5-3 
 
 82 
 
 79.6 
 
 19.8 
 
 42 
 
 137-8 
 
 34-4 
 
 O2 
 
 196. o 
 
 48.9 
 
 63 
 
 254. 2 
 
 63.4 
 
 23 
 
 22.3 
 
 5-6 
 
 83 
 
 80:5 
 
 20. i 
 
 43 
 
 138.8 
 
 34-6 
 
 3 
 
 197.0 
 
 49.1 
 
 63 
 
 255-2 
 
 63. 6 
 
 24 
 
 23-3 
 
 5-8 
 
 84 
 
 81.5 
 
 20.3 
 
 44 
 
 '39. 7 
 
 34-8 
 
 04 
 
 197-9 
 
 49-4 
 
 64 
 
 256. 2 
 
 63.9 
 
 25 
 
 24-3 
 
 6. o 
 
 85 
 
 82.5 
 
 20. 6 
 
 45 
 
 MO. 7 . 
 
 35- i 
 
 5 
 
 198.9 
 
 49-6 
 
 65 
 
 257. 1 
 
 64. i 
 
 26 
 
 25. 2 
 
 6-3 
 
 86 
 
 83-4 
 
 20.8 
 
 46 
 
 141. 7 
 
 35-3 
 
 06 
 
 199.9 
 
 49-8 
 
 66 
 
 25! I 
 
 64-4 
 
 27 
 
 26. 2 
 
 6-5 
 
 87 
 
 84.4 
 
 21. O 
 
 47 
 
 142. 6 
 
 35-6 
 
 7 
 
 200. 9 
 
 50.1 
 
 67 
 
 259. I 
 
 64.6 
 
 28 
 
 27. 2 
 
 6.8 
 
 88 
 
 85.4 
 
 21-3 
 
 48 
 
 M3-6 
 
 35-8 
 
 08 
 
 201.8 
 
 50.3 
 
 68 
 
 260. o 
 
 64.8 
 
 29 
 
 28. I 
 
 7-0 
 
 89 
 
 86.4 
 
 21. 5 
 
 49 
 
 144.6 
 
 36. o 
 
 09 
 
 202.8 
 
 50. 6 
 
 69 
 
 261. o 
 
 65.1 
 
 3 
 
 29.1 
 
 7-3 
 
 90 
 
 87.3 
 
 21.8 
 
 50 
 
 45-5 
 
 36.3 
 
 10 
 
 203.3 
 
 50. 8 
 
 
 26-!. o 
 
 65.3 
 
 3' 
 
 30.1 
 
 7-5 
 
 9' 
 
 88.3 
 
 22. O 
 
 '5' 
 
 146.5 
 
 3 6 -5 
 
 211 
 
 204. 7 
 
 51.0 
 
 271 
 
 263. o 
 
 65.6 
 
 3 2 
 
 31.0 
 
 7-7 
 
 92 
 
 89-3 
 
 22. 3 
 
 52 
 
 M7- 5 
 
 36.8 
 
 12 
 
 205.7 
 
 5'-3 
 
 72 
 
 263.9 
 
 6s. 8 
 
 33 
 
 32.0 
 
 8.0 
 
 93 
 
 90. 2 
 
 22.5 
 
 53 
 
 148.5 
 
 37-0 
 
 '3 
 
 206. 7 
 
 
 73 
 
 264. 9 
 
 G6. o 
 
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 125.9 
 
 36.1 
 
 191 
 
 183.6 
 
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 251 
 
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 12 
 
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 19.8 
 
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 92 
 
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 52.9 
 
 52 
 
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 69.5 
 
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 33 
 
 127.8 
 
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 93 
 
 185.5 
 
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 53 
 
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 70 
 
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 211 
 
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 41.9 
 
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 58.4 
 
 72 
 
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 75 
 
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 76 
 
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 37 
 
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 97 
 
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 57 
 
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 59.8 
 
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 20 
 
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 79 
 
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 221 
 
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 42 
 
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 62 
 
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 22 
 
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 82 
 
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 43 
 
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 28.4 
 
 63 
 
 156.7 
 
 44-9 
 
 23 
 
 214.4 
 
 61.5 
 
 83 
 
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 78.0 
 
 44 
 
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 28.7 
 
 64 
 
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 24 
 
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 61.7 
 
 84 
 
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 65 
 
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 85 
 
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 78.6 
 
 46 
 
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 66 
 
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 27 
 
 218.2 
 
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 87 
 
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 48 
 
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 08 
 
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 29.8 
 
 68 
 
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 62.8 
 
 88 
 
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 79-4 
 
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 69 
 
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 29 
 
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 63.1 
 
 89 
 
 277.8 
 
 79-7 
 
 5 
 
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 105.7 
 
 3-3 
 
 70 
 
 163.4 
 
 46.9 
 
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 221. I 
 
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 90 
 
 278.8 
 
 79-9 
 
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 30. 6 
 
 171 
 
 164.4 
 
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 231 
 
 222. I 
 
 03.7 
 
 291 
 
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 12 
 
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 3-9 
 
 72 
 
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 32 
 
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 63-9 
 
 92 
 
 280. 7 
 
 80.5 
 
 53 
 
 50.9 
 
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 13 
 
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 73 
 
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 93 
 
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 80.8 
 
 54 
 
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 109. 6 
 
 3'-4 
 
 74 
 
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 34 
 
 224.9 
 
 64-5 
 
 94 
 
 282.6 
 
 81.0 
 
 55 
 
 52.9 
 
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 15 
 
 no. 5 
 
 3'- 7 
 
 75 
 
 168.2 
 
 48. 2 
 
 35 
 
 225.9 
 
 64.8 
 
 95 
 
 283.6 
 
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 56 
 
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 16 
 
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 32.0 
 
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 48.5 
 
 36 
 
 226. 9 
 
 6 S .I 
 
 96 
 
 284.5 
 
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 57 
 
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 17 
 
 112.5 
 
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 77 
 
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 48.8 
 
 37 
 
 227.8 
 
 65.3 
 
 97 
 
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 18 
 
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 78 
 
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 38 
 
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 65.6 
 
 98 
 
 286.5 
 
 82. i 
 
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 56.7 
 57-7 
 
 16.3 
 16.5 
 
 19 
 20 
 
 114.4 
 115.4 
 
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 79 
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 73- 
 
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 39 
 
 40 
 
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 230.7 
 
 65.9 
 
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 300 
 
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 288.4 
 
 82.4 
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 [ For 74 Degrees. 
 
 129 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 17. 
 
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 61 
 
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 17.8 
 
 121 
 
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 181 
 
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 241 
 
 230.5 
 
 70.5 
 
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 62 
 
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 22 
 
 116. 7 
 
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 82 
 
 174.0 
 
 53-2 
 
 42 
 
 231.4 
 
 70.8 
 
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 63 
 
 60. 2 
 
 18,4 
 
 23 
 
 117. 6 
 
 36. o 
 
 83 
 
 175.0 
 
 53-5 
 
 43 
 
 232-4 
 
 71.0 
 
 4 
 
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 64 
 
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 18.7 
 
 24 
 
 118. 6 
 
 35.3 
 
 84 
 
 176. o 
 
 53-8 
 
 44 
 
 233-3 
 
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 5 
 
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 65 
 
 62.2 
 
 19. o 
 
 25 
 
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 85 
 
 176.9 
 
 54-1 
 
 45 
 
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 71.6 
 
 6 
 
 5-7 
 
 1.8 
 
 66 
 
 6 3 .I 
 
 19-3 
 
 26 
 
 120. 5 
 
 36.8 
 
 86 
 
 '77-9 
 
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 46 
 
 235-3 
 
 71.9 
 
 7 
 
 6-7 
 
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 67 
 
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 19. 6 
 
 27 
 
 121. S 
 
 37-1 
 
 87 
 
 178.8 
 
 54-7 
 
 47 
 
 236.2 
 
 72.2 
 
 8 
 
 7-7 
 
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 68 
 
 65. o 
 
 19.9 
 
 28 
 
 122.4 
 
 37-4 
 
 88 
 
 179.8 
 
 55-0 
 
 48 
 
 237.2 
 
 72.5 
 
 9 
 
 8.6 
 
 2.6 
 
 69 
 
 66.0 
 
 2O. 2 
 
 29 
 
 123-4 
 
 37-7 
 
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 1 80. 7 
 
 55-3 
 
 49 
 
 238. I 
 
 72.8 
 
 10 
 
 9-6 
 
 2-9 
 
 70 
 
 66.9 
 
 20. 5 
 
 3 
 
 124-3 
 
 38.0 
 
 90 
 
 181. 7 
 
 55- ^ 
 
 5 
 
 239- I 
 
 73- I 
 
 n 
 
 10.5 
 
 S- 2 
 
 71 
 
 67.9 
 
 20.8 
 
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 125.3 
 
 38-3 
 
 191 
 
 182. 7 
 
 55-8 
 
 251 
 
 240. o 
 
 73-4 
 
 12 
 
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 3-5 
 
 73 
 
 68.9 
 
 21. 1 
 
 S 2 
 
 126. 2 
 
 38.6 
 
 92 
 
 183.6 
 
 56.1 
 
 52 
 
 241. o 
 
 73.7 
 
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 12.4 
 
 3-8 
 
 73 
 
 69.8 
 
 21-3 
 
 33 
 
 127. 2 
 
 38-9 
 
 93 
 
 184. 6 
 
 56.4 
 
 53 
 
 241.9 
 
 74-o 
 
 4 
 
 13-4 
 
 4- i 
 
 74 
 
 70.8 
 
 21.6 
 
 34 
 
 128. I 
 
 39-2 
 
 94 
 
 185-5 
 
 56.7 
 
 54 
 
 242.9 
 
 74-3 
 
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 '4-3 
 
 4-4 
 
 75 
 
 7-7 
 
 21.9 
 
 35 
 
 129. I 
 
 39-5 
 
 95 
 
 186.5 
 
 57-0 
 
 55 
 
 243-9 
 
 74-6 
 
 16 
 
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 4-7 
 
 76 
 
 72.7 
 
 22. 2 
 
 36 
 
 130. I 
 
 39-8 
 
 96 
 
 187.4 
 
 57-3 
 
 56 
 
 244.8 
 
 74- 8 
 
 '7 
 
 16.3 
 
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 77 
 
 73-6. 
 
 22. 5 
 
 37 
 
 131. o 
 
 40. i 
 
 97 
 
 188.4 
 
 57-6 
 
 57 
 
 245.8 
 
 75-' 
 
 18 
 
 17.2 
 
 5-3 
 
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 74-6 
 
 22.8 
 
 38 
 
 132.0 
 
 40. 3 
 
 98 
 
 184. j 
 
 57-9 
 
 58 
 
 246.7 
 
 75-4 
 
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 S 'S 
 
 79 
 
 75-5 
 
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 39 
 
 132.9 
 
 40. 6 
 
 99 
 
 190.3 
 
 58.2 
 
 59 
 
 247.7 
 
 75-7 
 
 20 
 
 19.1 
 
 S- 8 
 
 80 
 
 76.5 
 
 23-4 
 
 40 
 
 133-9 
 
 40.9 
 
 200 
 
 >9'-3 
 
 58. s 
 
 60 
 
 248.6 
 
 76. o 
 
 21 
 
 20. I 
 
 6. i 
 
 81 
 
 77-5 
 
 23-7 
 
 141 
 
 134.8 
 
 41.2 
 
 201 
 
 192. 2 
 
 58.8 
 
 261 
 
 249.6 
 
 76.3 
 
 22 
 
 21. O 
 
 6-4 
 
 82 
 
 78.4 
 
 24. o 
 
 42 
 
 135-8 
 
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 193-2 
 
 59. i 
 
 62 
 
 250.6 
 
 76.6 
 
 23 
 
 22. O 
 
 6.7 
 
 83 
 
 79-4 
 
 24-3 
 
 43 
 
 136.8 
 
 41-8 
 
 3 
 
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 59-4 
 
 63 
 
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 76.9 
 
 24 
 
 23.0 
 
 7.0 
 
 84 
 
 80.3 
 
 24. 6 
 
 44 
 
 137-7 
 
 42. I 
 
 4 
 
 195.1 
 
 59-6 
 
 64 
 
 252.5 
 
 77-2 
 
 25 
 
 23-9 
 
 7-3 
 
 85 
 
 8i-3 
 
 24-9 
 
 45 
 
 I38-7 
 
 42.4 
 
 5 
 
 196. o 
 
 59-9 
 
 6 5 
 
 253-4 
 
 77-5 
 
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 24.9 
 
 7.6 
 
 86 
 
 82.2 
 
 25.1 
 
 46 
 
 139.6 
 
 42.7 
 
 06 
 
 197.0 
 
 60. 2 
 
 66 
 
 254.4 
 
 77-8 
 
 2 7 
 
 2 5 .8 
 
 7-9 
 
 87 
 
 83.2 
 
 25.4 
 
 47 
 
 140. 6 
 
 43-o 
 
 7 
 
 198. o 
 
 60.5 
 
 67 
 
 255-3 
 
 78.1 
 
 28 
 
 26.8 
 
 8.2 
 
 88 
 
 84.2 
 
 25.7 
 
 48 
 
 141.5 
 
 43-3 
 
 08 
 
 198.9 
 
 60.8 
 
 68 
 
 256.3 
 
 78.4 
 
 29 
 
 27-7 
 
 8 '5 
 
 89 
 
 85.1 
 
 26. o 
 
 49 
 
 142.5 
 
 43- 6 
 
 09 
 
 199.9 
 
 61. i 
 
 69 
 
 257.2 
 
 78.6 
 
 3 
 
 28.7 
 
 8.8 
 
 90 
 
 86. i 
 
 26.3 
 
 5 
 
 >43-4 
 
 43- Q 
 
 10 
 
 200. 8 
 
 61. 4 
 
 70 
 
 258.2 
 
 78.9 
 
 3 1 
 
 29. 6 
 
 9- i 
 
 91 
 
 87.0 
 
 26.6 
 
 IS' 
 
 144.4 
 
 44. i 
 
 211 
 
 201.8 
 
 61.7 
 
 271 
 
 259.2 
 
 79-2 
 
 3 2 
 
 30. 6 
 
 9-4 
 
 92 
 
 88.0 
 
 26. 9 
 
 52 
 
 145.4 
 
 44-4 
 
 12 
 
 202. 7 
 
 62. o 
 
 72 
 
 200. I 
 
 79-5 
 
 S3 
 
 31-6 
 
 9.6 
 
 93 
 
 88.9 
 
 27. 2 
 
 53 
 
 146.3 
 
 44-7 
 
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 203. 7 
 
 62.3 
 
 73 
 
 26l. I 
 
 79-8 
 
 34 
 
 32-5 
 
 9-9 
 
 94 
 
 89.9 
 
 27.5 
 
 54 
 
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 45.0 
 
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 204. 6 
 
 62.6 
 
 74 
 
 262. o 
 
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 35 
 
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 95 
 
 90.8 
 
 27.8 
 
 55 
 
 148.2 
 
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 62. 9 
 
 75 
 
 263. o 
 
 80.4 
 
 36 
 
 34-4 
 
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 96 
 
 91.8 
 
 28. 1 
 
 56 
 
 149.2 
 
 45.6 
 
 16 
 
 206. 6 
 
 63. 2 
 
 76 
 
 263.9 
 
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 37 
 
 35-4 
 
 10.8 
 
 97 
 
 02.8 
 
 28.4 
 
 57 
 
 150. i 
 
 45-9 
 
 17 
 
 207.5 
 
 63.4 
 
 77 
 
 264.9 
 
 81.0 
 
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 98 
 
 93-7 
 
 28.7 
 
 58 
 
 151.1 
 
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 18 
 
 208.5 
 
 63-7 
 
 78 
 
 265. 9 
 
 81.3 
 
 39 
 
 37-3 
 
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 99 
 
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 28.9 
 
 59 
 
 152.1 
 
 46.5 
 
 19 
 
 209.4 
 
 64. o 
 
 79 
 
 266.8 
 
 81.6 
 
 40 
 
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 100 
 
 95-6 
 
 29. 2 
 
 60 
 
 153-0 
 
 46. 8 
 
 20 
 
 210. 4 
 
 64.3 
 
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 267.8 
 
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 101 
 
 96.6 
 
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 221 
 
 211.3 
 
 64. 6 
 
 281 
 
 268. 7 
 
 82.2 
 
 42 
 
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 62 
 
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 64. 9 
 
 82 
 
 269.7 
 
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 63 
 
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 83 
 
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 82.7 
 
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 31.0 
 
 66 
 
 158.7 
 
 48.5 
 
 26 
 
 216. i 
 
 66.1 
 
 86 
 
 273-5 
 
 83.6 
 
 47 
 
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 217. I 
 
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 48 
 
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 68 
 
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 28 
 
 218.0 
 
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 88 
 
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 49 
 
 46.9 
 
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 69 
 
 161.6 
 
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 219.0 
 
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 89 
 
 276.4 
 
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 49- 7 
 
 3> 
 
 22O. O 
 
 67.2 
 
 90 
 
 277-3 
 
 84.8 
 
 5' 
 
 48. 8 
 
 14.9 
 
 III 
 
 1 0&. I 
 
 32.5 
 
 I?' 
 
 > 6 3-5 
 
 50. o 
 
 231 
 
 22O. 9 
 
 6 7-5 
 
 291 
 
 2/8.3 
 
 85.1 
 
 52 
 
 49- 7 
 
 15.2 
 
 12 
 
 107. I 
 
 32.7 
 
 72 
 
 164.5 
 
 5-3 
 
 32 
 
 221. 9 
 
 67.8 
 
 92 
 
 279.2 
 
 85.4 
 
 53 
 
 5-7 
 
 '5-5 
 
 13 
 
 1 08. 1 
 
 33-0 
 
 73 
 
 165.4 
 
 50. 6 
 
 33 
 
 222.8 
 
 68.1 
 
 93 
 
 280.2 
 
 85-7 
 
 54 
 
 Si.6 
 
 15.8 
 
 14 
 
 109. o 
 
 33-3 
 
 74 
 
 166.4 
 
 5-9 
 
 34 
 
 223". 8 
 
 68.4 
 
 94 
 
 281.2 
 
 86.0 
 
 55 
 
 52.6 
 
 16. i 
 
 '5 
 
 no. o 
 
 33-6 
 
 75 
 
 167.4 
 
 5'-2 
 
 35 
 
 224- 7 
 
 68.7 
 
 95 
 
 282. I 
 
 86.2 
 
 56 
 
 53-6 
 
 16. 4 
 
 16 
 
 no. 9 
 
 33 9 
 
 76 
 
 168.3 
 
 5'-5 
 
 36 
 
 225.7 
 
 69. o 
 
 96 
 
 283. i 
 
 86.5 
 
 57 
 
 54-5 
 
 16.7 
 
 17 
 
 111.9 
 
 34-2 
 
 77 
 
 169.3 
 
 5'- 7 
 
 37 
 
 226.6 
 
 69-3 
 
 97 
 
 284. o 
 
 86.8 
 
 58 
 
 55-5 
 
 17.0 
 
 18 
 
 112. 8 
 
 34-5 
 
 78 
 
 I7O. 2 
 
 52.0 
 
 38 
 
 227. 6 
 
 69.6 
 
 98 
 
 2815.0 
 
 87-1 
 
 59 
 
 5 6 -4 
 
 17.2 
 
 19 
 
 113.8 
 
 34-8 
 
 79 
 
 171. 2 
 
 52.3 
 
 39. 
 
 228.6 
 
 69.9 
 
 99 
 
 285.9 
 
 87.4 
 
 60 
 
 57-4 
 
 '7-5 
 
 20 
 
 114.8 
 
 35- i 
 
 So 
 
 I72.I 
 
 S2--6 
 
 40 
 
 229.5 
 
 70. 2 
 
 300 
 
 286.9 
 
 S7.7 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 73 Degrees. 
 
 130 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 18. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 DUt. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dtp. 
 
 , 
 
 I.o 
 
 0-3 
 
 61 
 
 58.0 
 
 IS. 9 
 
 121 
 
 II5.I 
 
 37-4 
 
 181 
 
 172.1 
 
 55-9 
 
 241 
 
 229. 2 
 
 74-5 
 
 2 
 
 1.9 
 
 0.6 
 
 62 
 
 59-0 
 
 19.2 
 
 22 
 
 1 1 6. o 
 
 37-7 
 
 82 
 
 173-1 
 
 
 42 
 
 230.2 
 
 74-8 
 
 3 
 
 2. 9 
 
 o-9 
 
 63 
 
 59-9 
 
 19.5 
 
 23 
 
 117.0 
 
 38.0 
 
 83 
 
 174.0 
 
 56.6 
 
 43 
 
 231. I 
 
 75-1 
 
 4 
 
 3.8 
 
 1.2 
 
 64 
 
 60. 9 
 
 19.8 
 
 24 
 
 117.9 
 
 38.3 
 
 84 
 
 175-0 
 
 5 6 -9 
 
 44 
 
 232. I 
 
 75-4 
 
 5 
 
 4.8 
 
 i. 5 
 
 65 
 
 61.8 
 
 2O. I 
 
 25 
 
 118.9 
 
 38.6 
 
 85 
 
 175-9 
 
 57-2 
 
 45 
 
 233.0 
 
 75-7 
 
 6 
 
 5-7 
 
 1.9 
 
 66 
 
 62.8 
 
 20.4 
 
 26 
 
 119.8 
 
 38-9 
 
 86 
 
 176.9 
 
 57-5 
 
 46 
 
 234-0 
 
 76.0 
 
 7 
 
 6-7 
 
 2.2 
 
 67 
 
 63.7 
 
 20. 7 
 
 27 
 
 120.8 
 
 39-2 
 
 87 
 
 177.8 
 
 57-8 
 
 47 
 
 234.9 
 
 76.3 
 
 8 
 
 7.6 
 
 2.5 
 
 68 
 
 64-7 
 
 21.0 
 
 28 
 
 121. 7 
 
 39-6 
 
 88 
 
 178.8 
 
 58.1 
 
 48 
 
 235-9 
 
 76.6 
 
 9 
 
 8.6 
 
 2.8 
 
 69 
 
 65.6 
 
 21.3 
 
 29 
 
 122.7 
 
 39-9 
 
 89 
 
 179-7 
 
 58.4 
 
 49 
 
 236.8 
 
 76.9 
 
 IO 
 
 9-5 
 
 3- i 
 
 70 
 
 66.6 
 
 21.6 
 
 3 
 
 123. 6 
 
 40.2 
 
 90 
 
 180.7 
 
 58.7 
 
 50 
 
 237-8 
 
 77-3 
 
 ii 
 
 10.5 
 
 3-4 
 
 7' 
 
 67.5 
 
 21.9 
 
 131 
 
 124.6 
 
 40. 5 
 
 191 
 
 lSl.7 
 
 59-0 
 
 251 
 
 238.7 
 
 77-6 
 
 12 
 
 II. 4 
 
 3-7 
 
 72 
 
 68.5 
 
 22. 2 
 
 32 
 
 125.5 
 
 40.8 
 
 
 182.6 
 
 59-3 
 
 52 
 
 239-7 
 
 77-9 
 
 13 
 
 12.4 
 
 4.0 
 
 73 
 
 69.4 
 
 22.6 
 
 33 
 
 126. 5 
 
 41.1 
 
 93 
 
 183.6 
 
 59-6 
 
 53 
 
 240. 6 
 
 78.2 
 
 14 
 
 13-3 
 
 4-3 
 
 74 
 
 70.4 
 
 22.9 
 
 34 
 
 127.4 
 
 41.4 
 
 94 
 
 184.5 
 
 59-9 
 
 54 
 
 241. 6 
 
 78- 5 
 
 15 
 
 14-3 
 
 4.6 
 
 
 71-3 
 
 23.2 
 
 35 
 
 128.4 
 
 41.7 
 
 95 
 
 i"5- 5 
 
 60.3 
 
 55 
 
 242.5 
 
 78.8 
 
 10 
 
 15. 2 
 
 4-9 
 
 76 
 
 72-3 
 
 23-5 
 
 36 
 
 129-3 
 
 42. o 
 
 96 
 
 1 86. 4 
 
 60.6 
 
 56 
 
 243-5 
 
 79- i 
 
 17 
 
 16. 2 
 
 5-3 
 
 77 
 
 73-2 
 
 23.8 
 
 37 
 
 130-3 
 
 42-3 
 
 97 
 
 187.4 
 
 60. 9 
 
 57 
 
 244.4 
 
 79-4 
 
 18 
 
 I7.I 
 
 5-6 
 
 78 
 
 74-2 
 
 24. I 
 
 38 
 
 131.2 
 
 42.6 
 
 98 
 
 188.3 
 
 61.2 
 
 58 
 
 245-4 
 
 79-7 
 
 "9 
 
 18. i 
 
 5-9 
 
 79 
 
 75-1 
 
 24.4 
 
 39 
 
 132.2 
 
 43-0 
 
 99 
 
 189-3 
 
 61.5 
 
 59 
 
 246.3 
 
 80.0 
 
 20 
 
 19. o 
 
 6. 2 
 
 So 
 
 76.1 
 
 24.7 
 
 40 
 
 I33.I 
 
 43-3 
 
 200 
 
 190.2 
 
 61.8 
 
 60 
 
 247-3 
 
 80.3 
 
 21 
 
 20. O 
 
 75. 5 
 
 81 
 
 77-o 
 
 25. o 
 
 MI 
 
 I34-I 
 
 43-6 
 
 201 
 
 191. 2 
 
 62.1 
 
 261 
 
 248.2 
 
 oo. 7 
 
 22 
 
 20. 9 
 
 6.8 
 
 82 
 
 78.0 
 
 25-3 
 
 42 
 
 I35-I 
 
 43-9 
 
 O2 
 
 192. I 
 
 62.4 
 
 62 
 
 249.2 
 
 81.0 
 
 23 
 
 21.9 
 
 7- 1 
 
 83 
 
 78.9 
 
 2 5 .6 
 
 43 
 
 136.0 
 
 44-2 
 
 03 
 
 193- 1 
 
 62.7 
 
 63 
 
 250. i 
 
 8'- 3 
 
 24 
 
 22.8 
 
 7-4 
 
 84 
 
 79-9 
 
 26. o 
 
 44 
 
 i37-o 
 
 44-5 
 
 04 
 
 194.0 
 
 63. o 
 
 64 
 
 251. i 
 
 81.6 
 
 25 
 26 
 
 23.8 
 
 24.7 
 
 7-7 
 8.0 
 
 85 
 86 
 
 80.8 
 81.8 
 
 26.3 
 26.6 
 
 45 
 46 
 
 137-9 
 138.9 
 
 44.8 
 45.1 
 
 % 
 
 195.0 
 195-9 
 
 63-3 
 63.7 
 
 65 
 66 
 
 252. o 
 253-0 
 
 81.9 
 82.2 
 
 11 
 
 25.7 
 26.6 
 
 8-3 
 8.7 
 
 87 
 88 
 
 82.7 
 83.7 
 
 26. 9 
 27.2 
 
 47 
 48 
 
 139.8 
 140. 8 
 
 45-4 
 45- 7 
 
 07 
 08 
 
 196.9 
 197.8 
 
 64. o 
 
 64.3 
 
 n 
 
 253-9 
 254.9 
 
 82.5 
 82.8 
 
 29 
 
 27.6 
 
 9.0 
 
 89 
 
 84.6 
 
 27-5 
 
 49 
 
 141.7 
 
 46. o 
 
 09 
 
 198.8 
 
 64.6 
 
 69 
 
 255.8 
 
 8;. i 
 
 30 
 
 28.5 
 
 9-3 
 
 90 
 
 8=.6 
 
 27.8 
 
 5o 
 
 142. 7 
 
 46.4 
 
 IO 
 
 199. 7 
 
 64.9 
 
 70 
 
 256.8 
 
 83-4 
 
 31 
 
 29.5 
 
 9.6 
 
 9' 
 
 86.5 
 
 28.1 
 
 151 
 
 143.6 
 
 46. 7 
 
 211 
 
 200. 7 
 
 65.2 
 
 271 
 
 257-7 
 
 83.7 
 
 3 2 
 
 30.4 
 
 9-9 
 
 92 
 
 87.5 
 
 28.4 
 
 
 144.6 
 
 47.0 
 
 12 
 
 201. 6 
 
 65.5 
 
 72 
 
 258.7 
 
 84.1 
 
 33 
 
 31.4 
 
 IO. 2 
 
 93 
 
 88.4 
 
 28.7 
 
 53 
 
 '45-5 
 
 47-3 
 
 13 
 
 202. 6 
 
 65.8 
 
 73 
 
 259.6 
 
 84.4 
 
 34 
 
 32-3 
 
 10. 5 
 
 94 
 
 89-4 
 
 29. o 
 
 54 
 
 146.5 
 
 47.6 
 
 H 
 
 203.5 
 
 66. i 
 
 74 
 
 260. 6 
 
 84.7 
 
 35 
 
 33-3 
 
 10.8 
 
 95 
 
 90.4 
 
 29.4 
 
 55 
 
 147-4 
 
 47-9 
 
 '5 
 
 204.5 
 
 66.4 
 
 75 
 
 261. 5 
 
 85.0 
 
 36 
 
 34-2 
 
 II. I 
 
 96 
 
 9'-3 
 
 29- 7 
 
 56 
 
 148.4 
 
 48.2 
 
 16 
 
 205.4 
 
 66.7 
 
 76 
 
 262. 5 
 
 85-3 
 
 37 
 
 35-2 
 
 11.4 
 
 97 
 
 92.3 
 
 30.0 
 
 57 
 
 149-3 
 
 48.5 
 
 17 
 
 206. 4 
 
 67.1 
 
 77 
 
 263.4 
 
 85. o 
 
 38 
 
 36.1 
 
 11.7 
 
 98 
 
 93-2 
 
 30-3 
 
 58 
 
 150.3 
 
 48.8 
 
 18 
 
 207.3 
 
 67.4 
 
 ?ij 
 
 264-4 
 
 85.9 
 
 39 
 
 37-1 
 
 12. I 
 
 99 
 
 94-2 
 
 30.6 
 
 59 
 
 151.2 
 
 49- i 
 
 19 
 
 208. 3 
 
 67.7 
 
 79 
 
 265- 3 
 
 -86.2 
 
 40 
 
 38.0 
 
 I2. 4 
 
 ioo 
 
 95-1 
 
 30-9 
 
 60 
 
 152.2 
 
 49-4 
 
 20 
 
 209. 2 
 
 68.0 
 
 OO 
 
 266. 3 
 
 86.5 
 
 41 
 
 39-0 
 
 12. 7 
 
 101 
 
 96. i 
 
 31.2 
 
 161 
 
 153- i 
 
 49-8 
 
 221 
 
 210. 2 
 
 68.3 
 
 281 
 
 267. 2 
 
 86.8 
 
 42 
 
 39-9 
 
 13-0 
 
 02 
 
 97.0 
 
 31-5 
 
 62 
 
 154.1 
 
 50.1 
 
 22 
 
 211. I 
 
 68. 6 
 
 82 
 
 268.2 
 
 87-1 
 
 43 
 
 40.9 
 
 '3-3 
 
 3 
 
 98.0 
 
 31.8 
 
 63 
 
 155-0 
 
 50.4 
 
 23 
 
 212. I 
 
 68.9 
 
 83 
 
 269. i 
 
 87-5 
 
 44 
 
 41.8 
 
 '3-6 
 
 04 
 
 98.9 
 
 32.1 
 
 64 
 
 156.0 
 
 5-7 
 
 24 
 
 213. o 
 
 69. 2 
 
 84 
 
 270. i 
 
 87.8 
 
 45 
 
 42.8 
 
 13-9 
 
 
 99-9 
 
 32-4 
 
 65 
 
 156.9 
 
 51.0 
 
 25 
 
 214. o 
 
 69. 5 
 
 85 
 
 271.1 
 
 88. i 
 
 46 
 
 43-7 
 
 14.2 
 
 06 
 
 loo.S 
 
 32-8 
 
 66 
 
 157-9 
 
 51-3 
 
 26 
 
 214.9 
 
 69.8 
 
 86 
 
 272. o 
 
 88.4 
 
 47 
 
 44- 7 
 
 14-5 
 
 07 
 
 101.8 
 
 33-i 
 
 67 
 
 158.8 
 
 51.6 
 
 27 
 
 215.9 
 
 70. 1 
 
 87 
 
 273.0 
 
 88.7 
 
 48 
 
 45-7 
 
 14.8 
 
 08 
 
 102. 7 
 
 33-4 
 
 68 
 
 159.8 
 
 5i-9 
 
 28 
 
 216. 8 
 
 70.5 
 
 88 
 
 273-9 
 
 89.0 
 
 49 
 
 46.6 
 
 I5-I 
 
 09 
 
 103-7 
 
 33-7 
 
 69 
 
 160. 7 
 
 52.2 
 
 29 
 
 217.8 
 
 70.8 
 
 89 
 
 274-9 
 
 89-3 
 
 50 
 
 47.6 
 
 '5-5 
 
 10 
 
 104. 6 
 
 34-0 
 
 70 
 
 161. 7 
 
 52-5 
 
 3 
 
 218. 7 
 
 71.1 
 
 90 
 
 275-8 
 
 89.6 
 
 51 
 
 48.5 
 
 15/8 
 
 III 
 
 105. 6 
 
 34-3 
 
 171 
 
 162. 6 
 
 52.8 
 
 231 
 
 219.7 
 
 71.4 
 
 291 
 
 276.8 
 
 89.9 
 
 5 2 
 
 49-5 
 
 16. i 
 
 12 
 
 1 06. 5 
 
 34-6 
 
 72 
 
 163.6 
 
 53-2 
 
 3 2 
 
 220. 6 
 
 7'-7 
 
 92 
 
 277-7 
 
 90. 2 
 
 53 
 
 ,50.4 
 
 16.4 
 
 13 
 
 107.5 
 
 34-9 
 
 73 
 
 164.5 
 
 53-5 
 
 33 
 
 221.6 
 
 72.0 
 
 93 
 
 278.7 
 
 90. 5 
 
 54 
 
 Si-4 
 
 16.7 
 
 14 
 
 108.4 
 
 35-2 
 
 74 
 
 165-5 
 
 53-8 
 
 34 
 
 222. 5 
 
 72.3 
 
 94 
 
 279.6 
 
 90.9 
 
 55 
 
 52.3 
 
 17.0 
 
 15 
 
 109.4 
 
 35-5 
 
 75 
 
 166.4 
 
 54-1 
 
 35 
 
 223.5 
 
 72.6 
 
 95 
 
 280. 6 
 
 91.2 
 
 56 
 
 53-3 
 
 ! 7-3 
 
 .16 
 
 no. 3 
 
 35-8- 
 
 76 
 
 167.4 
 
 54-4 
 
 36 
 
 224.4 
 
 72.9 
 
 96 
 
 281. 5 
 
 91.5 
 
 57 
 
 54-2 
 
 17.6 
 
 17 
 
 111.3 
 
 36. 2 
 
 77 
 
 168.3 
 
 54-7 
 
 37 
 
 225.4 
 
 73-2 
 
 97 
 
 282.5 
 
 91.8 
 
 58 
 
 55-2 
 
 17-9 
 
 18 
 
 112. 2 
 
 36.5 
 
 78 
 
 169.3 
 
 55-o 
 
 38 
 
 226. 4 
 
 73-5 
 
 98 
 
 283.4 
 
 92.1 
 
 59 
 
 56.1 
 
 IS. 2 
 
 19 
 
 113-2 
 
 36.8 
 
 79 
 
 170. 2 
 
 55-3 
 
 39 
 
 227-3 
 
 73-9 
 
 99 
 
 284.4 
 
 92.4 
 
 60 
 
 57. i 
 
 18.5 
 
 20 
 
 II4.I 
 
 37-1 
 
 80 
 
 I7I.2 
 
 55-6 
 
 40 
 
 228. 3 
 
 74-2 
 
 300 
 
 285-3 
 
 92.7 
 
 Dist. 
 
 Dcp, 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lai. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 72 Degrees. 
 
 131 
 

 DIFFERENCE OF LATITUDE 
 
 AND DEPARTURE FOR 19. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lit. 
 
 Dep. 
 
 Dist. 
 
 L^t. 
 
 Dcp. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.9 
 
 0-3 
 
 61 
 
 57-7 
 
 19.9 
 
 12! 
 
 114-4 
 
 39-4 
 
 iSi 
 
 J7LI 
 
 58.9 
 
 241 
 
 227.9 
 
 78.5 
 
 2 
 
 i; 9 
 
 0.7 
 
 62 
 
 58.6 
 
 2O. 2 
 
 22 
 
 115.4 
 
 39-7 
 
 82 
 
 I72.I 
 
 59-3 
 
 42 
 
 228.8 
 
 78.8 
 
 3 
 
 2.8 
 
 I. O 
 
 63 
 
 59-6 
 
 20.5 
 
 23 
 
 no. 3 
 
 40. o 
 
 83 
 
 173.0 
 
 59.6 
 
 43 
 
 229.8 
 
 79.1 
 
 4 
 
 3-8 
 
 i. 3 
 
 64 
 
 60. 5 
 
 20.8 
 
 24 
 
 117.2 
 
 40.4 
 
 84 
 
 174.0 
 
 59-9 . 
 
 44 
 
 230. 7 
 
 79-4 
 
 5 
 
 4-7 
 
 1.6 
 
 65 
 
 61.5 
 
 21.2 
 
 25 
 
 IlS. 2 
 
 40. 7 
 
 85 
 
 1 74- 9 
 
 60. 2 
 
 45 
 
 231.7 
 
 79-8 
 
 6 
 
 5-7 
 
 2.0 
 
 66 
 
 62.4 
 
 21. 5 
 
 26 
 
 119. i 
 
 41. o 
 
 86 
 
 175-9 
 
 60.6 
 
 46 
 
 232.6 
 
 80. i 
 
 7 
 
 6.6 
 
 2. 3 
 
 67 
 
 63-3 
 
 21.8 
 
 27 
 
 120. I 
 
 41-3 
 
 87 
 
 176.8 
 
 60. 9 
 
 47 
 
 233-5 
 
 80.4 
 
 8 
 
 7-6 
 
 2.6 
 
 68 
 
 64.3 
 
 22. I 
 
 28 
 
 121. O 
 
 41.7 
 
 88 
 
 177-8 
 
 61.2 
 
 48 
 
 234- 5 
 
 80.7 
 
 9 
 
 8.5 
 
 2-9 
 
 69 
 
 65.2 
 
 22. 5 
 
 29 
 
 122, O 
 
 42. o 
 
 89 
 
 178.7 
 
 61.5 
 
 49 
 
 235-4 
 
 81. i 
 
 10 
 
 9-5 
 
 3-3 
 
 70 
 
 66.2 
 
 22.8 
 
 30 
 
 122-9 
 
 42.3 
 
 90 
 
 179.6 
 
 61. 9 
 
 5 
 
 236.4 
 
 81.4 
 
 ii 
 
 10. 4 
 
 3-6 
 
 7i 
 
 67. i 
 
 23-1 
 
 131 
 
 123.9 
 
 42. 6 
 
 191 
 
 1 80. 6 
 
 62. 2 
 
 251 
 
 237.3 
 
 81.7 
 
 12 
 
 "3 
 
 3-9 
 
 72 
 
 68.1 
 
 23-4 
 
 32 
 
 I 4 .8 
 
 43- 
 
 92 
 
 181.5 
 
 62.5 
 
 5 2 
 
 238-3 
 
 82.0 
 
 13 
 
 12.3 
 
 4-2 
 
 73 
 
 69. o 
 
 23.8 
 
 33 
 
 25. 8 
 
 43-3 
 
 93 
 
 182.5 
 
 62.8 
 
 53 
 
 239.2 
 
 82.4 
 
 14 
 
 '3- 2 
 
 4.6 
 
 74 
 
 70. o 
 
 24- I 
 
 34 
 
 26. 7 
 
 43-6 
 
 94 
 
 183.4 
 
 63.2 
 
 54 
 
 240.2 
 
 82.7 
 
 15 
 
 14.2 
 
 4-9 
 
 75 
 
 70.9 
 
 24-4 
 
 35 
 
 27.6 
 
 44-o 
 
 95 
 
 184.4 
 
 63.5 
 
 55 
 
 241. I 
 
 83.0 
 
 16 
 
 15. i 
 
 5-2 
 
 76 
 
 71-9 
 
 24-7 
 
 
 28.6 
 
 44-3 
 
 96 
 
 185-3 
 
 63.8 
 
 56 
 
 242. 1 
 
 83-3 
 
 17 
 
 16. i 
 
 5-5 
 
 77 
 
 72.8 
 
 25-1 
 
 37 
 
 29-5 
 
 44.6 
 
 97 
 
 186.3 
 
 64.1 
 
 57 
 
 243.0 
 
 83-7 
 
 18 
 
 17.0 
 
 5-9 
 
 78 
 
 73-8 
 
 25-4 
 
 38 
 
 130.5 
 
 44-9 
 
 98 
 
 187.2 
 
 64.5 
 
 58 
 
 243.9 
 
 84.0 
 
 19 
 
 18. o 
 
 6 2 
 
 79 
 
 74-7 
 
 25-7 
 
 39 
 
 I3I-4 
 
 45-3 
 
 99 
 
 188.2 
 
 64.8 
 
 59 
 
 244.9 
 
 84-3 
 
 20 
 
 18.9 
 
 6.5 
 
 So 
 
 75-6 
 
 26. o 
 
 40 
 
 132-4 
 
 45-6 
 
 200 
 
 189. I 
 
 65. 1 
 
 60 
 
 245.8 
 
 84. 6 
 
 21 
 
 19.9 
 
 6.8 
 
 81 
 
 76.6 
 
 26.4 
 
 141 
 
 133-3 
 
 45-9 
 
 20 L 
 
 190. o 
 
 65.4 
 
 261 
 
 246.8 
 
 85.0 
 
 22 
 2 3 
 
 20.8 
 
 an. 7 
 
 7-2 
 
 7-5 
 
 82 
 83 
 
 77-5 
 78.5 
 
 26.7 
 
 27. o 
 
 42 
 43 
 
 134.3 
 135-2 
 
 46.2 
 46.6 
 
 O2 
 
 191. o 
 
 191.9 
 
 65.8 
 
 66. I 
 
 62 
 63 
 
 247.7 
 248.7 
 
 85-3 
 85.6 
 
 24 
 
 22. 7 
 
 7-8 
 
 84 
 
 79-4 
 
 27.3 
 
 44 
 
 136. 2 
 
 46.9 
 
 04 
 
 192.9 
 
 66.4 
 
 64 
 
 249.6 
 
 S6.o 
 
 25 
 
 23. 6 
 
 8.1 
 
 85 
 
 80.4 
 
 27.7 
 
 45 
 
 I37-I 
 
 47-2 
 
 05 
 
 193.8 
 
 66. 7 
 
 65 
 
 250. 6 
 
 86.3 
 
 26 
 
 24. 6 
 
 8- 5 
 
 86 
 
 Si. 3 
 
 28.0 
 
 46 
 
 138.0 
 
 47-5 
 
 06 
 
 194.8 
 
 67.1 
 
 66 
 
 2.5 '-5 
 
 86.6 
 
 27 
 
 25-5 
 
 8.8 
 
 8? 
 
 82.3 
 
 28.3 
 
 47 
 
 139-0 
 
 47-9 
 
 07 
 
 195.7 
 
 67-4 
 
 67 
 
 252-5 
 
 86.9 
 
 28 
 
 26.5 
 
 9- i 
 
 88 
 
 83.2 
 
 28.7 
 
 48 
 
 139-9 
 
 48.2 
 
 08 
 
 196.7 
 
 67-7 
 
 68 
 
 253-4 
 
 87-3 
 
 29 
 30 
 
 27-4 
 28.4 
 
 9-4 
 9-8 
 
 89 
 90 
 
 84.2 
 85.1 
 
 29. o 
 
 29.3 
 
 49 
 5 
 
 140. 9 
 141.8 
 
 48.5 
 48.8 
 
 09 
 
 io 
 
 197.6 
 198.6 
 
 68.0 
 68.4 
 
 69 
 70 
 
 254-3 
 255-3 
 
 87.6 
 87.9 
 
 31 
 
 29-3 
 
 10. I 
 
 91 
 
 86.0 
 
 29. 6 
 
 151 
 
 142.8 
 
 49-2 
 
 211 
 
 199.5 
 
 68.7 
 
 271 
 
 256.2 
 
 SS. 2 
 
 32 
 
 30-3 
 
 10.4 
 
 92 
 
 87.0 
 
 30. o 
 
 52 
 
 143-7 
 
 49-5 
 
 12 
 
 200. 4 
 
 69. o 
 
 72 
 
 257-2 
 
 88.6 
 
 33 
 
 31-2 
 
 10.7 
 
 93 
 
 87.9 
 
 30.3 
 
 53 
 
 144- 7 
 
 49-8 
 
 13 
 
 201. 4 
 
 69.3 
 
 73 
 
 258. i 
 
 88.9 
 
 34 
 
 32-1 
 
 II. I 
 
 94 
 
 88.9 
 
 30.6 
 
 54 
 
 145.6 
 
 50.1 
 
 14 
 
 202. 3 
 
 69.7 
 
 74 
 
 259. i 
 
 89:2 
 
 35 
 
 33-1 
 
 II. 4 
 
 95 
 
 89.8 
 
 30.9 
 
 55 
 
 146. 6 
 
 5-5 
 
 15 
 
 203.3 
 
 70. o 
 
 75 
 
 260. o 
 
 S9-5 
 
 36 
 
 34-0 
 
 " 7 
 
 96 
 
 90.8 
 
 3'-3 
 
 56 
 
 147-5 
 
 50.8 
 
 16 
 
 204. 2 
 
 70.3 
 
 76 
 
 261. o 
 
 89.9 
 
 37 
 
 35-0 
 
 12. 
 
 97 
 
 91-7 
 
 31.6 
 
 57 
 
 148.4 
 
 5'- 1 
 
 17 
 
 205. 2 
 
 70.6 
 
 77 
 
 261. 9 
 
 90. 2 
 
 38 
 
 35-9 
 
 12.4 
 
 08 
 
 92-7 
 
 31-9 
 
 58 
 
 149.4 
 
 51-4 
 
 18 
 
 2OO. I 
 
 71.0 
 
 78 
 
 262. 9 
 
 90.5 
 
 39 
 
 3 6 - 9 
 
 12.7 
 
 99 
 
 93-6 
 
 32.2 
 
 59 
 
 I50-3 
 
 51.8 
 
 19 
 
 207. I 
 
 71-3 
 
 79 
 
 263.8 
 
 90. 8 
 
 40 
 
 37-8 
 
 I 3 .0 
 
 100 
 
 94-6 
 
 32.6 
 
 60 
 
 I5I-3 
 
 52.1 
 
 20 
 
 208. o 
 
 71.6 
 
 80 
 
 264.7 
 
 91.2 
 
 4i 
 
 38.8 
 
 13-3 
 
 101 
 
 95-5' 
 
 32.9 
 
 161 
 
 152. 2 
 
 52-4 
 
 221 
 
 209. o 
 
 72.0 
 
 281 
 
 265.7 
 
 91.5 
 
 42 
 
 39- 7 
 
 13-7 
 
 02 
 
 96.4 
 
 33-2 
 
 62 
 
 153-2 
 
 52.7 
 
 22 
 
 209.9 
 
 72-3 
 
 82 
 
 266. 6 
 
 91.8 
 
 43 
 
 40. 7 
 
 M.O 
 
 3 
 
 97-4 
 
 33-5 
 
 63 
 
 I54.I 
 
 53-i 
 
 23 
 
 210. 9 
 
 72. 6 
 
 83 
 
 267.6 
 
 92.1 
 
 44 
 
 41. 6 
 
 14-3 
 
 04 
 
 98.3 
 
 33-9 
 
 64 
 
 I55-I 
 
 53-4 
 
 24 
 
 211. 8 
 
 72.9 
 
 84 
 
 268.5 
 
 92.5 
 
 45 
 
 42.5 
 
 14-7 
 
 05 
 
 99-3 
 
 34-2 
 
 65 
 
 156. o 
 
 53-7 
 
 2 5 
 
 212.7 
 
 73.3 
 
 85 
 
 269.5 
 
 92.8 
 
 46 
 
 43-5 
 
 15.0 
 
 06 
 
 100. 2 
 
 34-5 
 
 66 
 
 157.0 
 
 54.0 
 
 26 
 
 213.7 
 
 73-6 
 
 86 
 
 270.4 
 
 93-1 
 
 47 
 
 44-4 
 
 15-3 
 
 07 
 
 IOI. 2 
 
 34-8 
 
 67 
 
 157-9 
 
 54-4 
 
 27 
 
 214.6 
 
 73-9 
 
 87 
 
 271.4 
 
 93-4 
 
 48 
 
 45-4 
 
 15.6 
 
 oS 
 
 102. I 
 
 35-2 
 
 63 
 
 158.8 
 
 54- 7 
 
 28 
 
 215.6 
 
 74-2 
 
 88 
 
 272. 3 
 
 93-8 
 
 49 
 
 46.3 
 
 16. o 
 
 09 
 
 103. I 
 
 35-5 
 
 69 
 
 159.8 
 
 55-o 
 
 29 
 
 216. 5 
 
 74-6 
 
 89 
 
 273-3 
 
 94- i 
 
 5 
 
 47-3 
 
 i6-3 
 
 10 
 
 104. o 
 
 35-<* 
 
 70 
 
 160. 7 
 
 55-3 
 
 3 
 
 217.5 
 
 74-9 
 
 90 
 
 274.2 
 
 94-4 
 
 5 1 
 
 48.2 
 
 16. 6 
 
 in 
 
 105. 6 
 
 36.1 
 
 171 
 
 161. 7 
 
 55-7 
 
 231 
 
 218.4 
 
 75-2 
 
 291 
 
 275.1 
 
 94- 7 
 
 52 
 
 49-2 
 
 16. 9 
 
 12 
 
 105.9 
 
 36.5 
 
 72 
 
 162. 6 
 
 56. o 
 
 32 
 
 219.4 
 
 75-5 
 
 92 
 
 276. i 
 
 95-1 
 
 53 
 
 50.1 
 
 17-3 
 
 13 
 
 106.8 
 
 36.8 
 
 73 
 
 163.6 
 
 56.3 
 
 33 
 
 220.3 
 
 75-9 
 
 93 
 
 277.0 
 
 95-4 
 
 54 
 
 51.1 
 
 17-6 
 
 14 
 
 107.8 
 
 37-1 
 
 74 
 
 iC^. 5 
 
 56.6 
 
 34 
 
 2-21.3 
 
 76.2 
 
 94 
 
 278.0 
 
 95-7 
 
 9 
 
 52.0 
 52.9 
 
 17-9 
 18. 2 
 
 15 
 l6 
 
 icS. 7 
 109. 7 
 
 37-4 
 37-8 
 
 11 
 
 165.5 
 166.4 
 
 57-0 
 57-3 
 
 9 
 
 222. 2 
 223.1 
 
 76.5 
 76.8 
 
 95 
 96 
 
 278.9 
 279.9 
 
 96. o 
 96.4 
 
 57 
 
 53-9 
 
 18. 6 
 
 17 
 
 no. 6 
 
 38-1 
 
 77 
 
 167.4 
 
 57-6 
 
 37 
 
 224. 1 
 
 77-2 
 
 97 
 
 280.8 
 
 96.7 
 
 58 
 
 54-8 
 
 18.9 
 
 18 
 
 in. 6 
 
 38.4 
 
 78 
 
 168.3 
 
 5-o 
 
 38 
 
 225. o 
 
 77-5 
 
 98 
 
 281.8 
 
 97.0 
 
 59 
 
 60 
 
 55.8 
 56.7 
 
 19. 2 
 
 19.5 
 
 19 
 
 20 
 
 112.5 
 II3-5 
 
 38.7 
 39-1 
 
 79 
 
 80 
 
 169. 2 
 170. 2 
 
 58.3 
 58.6 
 
 39 
 
 40 
 
 226. o 
 226. 9 
 
 n- 8 
 
 78-1 
 
 99 
 300 
 
 282. 7 
 283.7 
 
 97-3 
 97-7 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat, 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 ["1'or 71 Degrees. 
 
 132 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 20. 
 
 Dist. 
 
 Lot. 
 
 Dcp. 
 
 Dist 
 
 Lat. 
 
 Dcp. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 Dist. 
 
 I.at 
 
 Dep. 
 
 Dlst. 
 
 L& 
 
 0^,. 
 
 I 
 
 0.9 
 
 -3 
 
 61 
 
 57-3 
 
 20. 9 
 
 121 
 
 "3-7 
 
 41.4 
 
 181 
 
 170. I 
 
 6l. 9 
 
 241 
 
 226. 5 
 
 82.4 
 
 2 
 
 1.9 
 
 o. 7 
 
 62 
 
 5S-3 
 
 21. 2 
 
 23 
 
 114.6 
 
 41.7 
 
 82 
 
 171.0 
 
 62.2 
 
 4 2 
 
 227.4 
 
 82.8 
 
 3 
 
 2.8 
 
 I.O 
 
 63 
 
 59-2 
 
 21.5 
 
 23 
 
 115. 6 
 
 42. I 
 
 83 
 
 1/2. O 
 
 62.6 
 
 43 
 
 228.3 
 
 83.1 
 
 4 
 
 3-8 
 
 1.4 
 
 64 
 
 bo. i 
 
 21.9 
 
 24 
 
 lift. S 
 
 42.4 
 
 84 
 
 172.9 
 
 62. 9 
 
 44 
 
 229.3 
 
 83-5 
 
 5 
 
 4- 7 
 
 ' 7 
 
 65 
 
 61. I 
 
 22. 2 
 
 25 
 
 117.5 
 
 42.8 
 
 5 
 
 173-8 
 
 63-3 
 
 45 
 
 2jO. 2 
 
 83. S 
 
 6 
 
 5.6 
 
 2. I 
 
 66 
 
 62. o 
 
 22.6 
 
 26 
 
 118.4 
 
 43- I 
 
 86 
 
 174-8 
 
 63.6 
 
 46 
 
 231.2 
 
 84. 1 
 
 7 
 
 6.6 
 
 2. 4 
 
 67 
 
 63. o 
 
 22.9 
 
 27 
 
 "9.3 
 
 43-4 
 
 87 
 
 J75- 7 
 
 64. o 
 
 47 
 
 232. I 
 
 84.5 
 
 8 
 
 7-5 
 
 2-7 
 
 68 
 
 63.9 
 
 23-3 
 
 28 
 
 120. 3 
 
 43-8 
 
 88 
 
 176.7 
 
 64-3 
 
 48 
 
 233. 
 
 84. S 
 
 9 
 
 8-5 
 
 3-J 
 
 69 
 
 64.8 
 
 23.6 
 
 29 
 
 121. 2 
 
 44- > 
 
 89 
 
 177.6 
 
 6 4 .6 
 
 49 
 
 234.0 
 
 85.2 
 
 10 
 
 9-4 
 
 3-4 
 
 70 
 
 65.8 
 
 23.9 
 
 30 
 
 122. 2 
 
 44-5 
 
 90 
 
 178.5 
 
 65. o 
 
 50 
 
 234.9 
 
 85-5 
 
 11 
 
 10.3 
 
 3- 
 
 7> 
 
 66. 7 
 
 24.3 
 
 I3 
 
 I23-I 
 
 44-8 
 
 191 
 
 179.5 
 
 65.3 
 
 251 
 
 235.9 
 
 85.8 
 
 12 
 
 "3 
 
 4- I 
 
 72 
 
 67.7 
 
 24-6 
 
 32 
 
 124. o 
 
 45- ' 
 
 92 
 
 180.4 
 
 65.7 
 
 5 2 
 
 236. 8 
 
 86.2 
 
 13 
 
 12.2 
 
 4-4 
 
 73 
 
 68.6 
 
 25.0 
 
 33 
 
 125. o 
 
 45-5 
 
 93 
 
 181.4 
 
 66.0 
 
 53 
 
 237-7 
 
 86.5 
 
 M 
 
 '3-2 
 
 4.8 
 
 74 
 
 69.5 
 
 25-3 
 
 34 
 
 125.9 
 
 45-8 
 
 94 
 
 182.3 
 
 66.4 
 
 54 
 
 238-7 
 
 86.9 
 
 IS 
 
 I4.I 
 
 5-' 
 
 75 
 
 70-5 
 
 25.7 
 
 35 
 
 126. 9 
 
 46. 2 
 
 95 
 
 183.2 
 
 66. 7 
 
 55 
 
 239.6 
 
 87.2 
 
 10 
 
 15.0 
 
 5-5 
 
 76 
 
 71.4 
 
 26. o 
 
 3 6 
 
 127.8 
 
 46.5 
 
 96 
 
 184.2 
 
 67.0 
 
 5 
 
 240. 6 
 
 87.6 
 
 '7 
 
 16. o 
 
 
 77 
 
 72-4 
 
 26.3 
 
 37 
 
 128. 7 
 
 46.9 
 
 97 
 
 185. i 
 
 67.4 
 
 57 
 
 241.5 
 
 87.9 
 
 18 
 
 16. 9 
 
 6. 2 
 
 78 
 
 73-3 
 
 26. 7 
 
 38 
 
 129. 7 
 
 47-2 
 
 98 
 
 186.1 
 
 67.7 
 
 ss 
 
 242.4 
 
 bS. 2 
 
 19 
 
 17-9 
 
 6.5 
 
 79 
 
 74.2 
 
 27. o 
 
 39 
 
 130. 6 
 
 47-5 
 
 99 
 
 187.0 
 
 68. i 
 
 59 
 
 243-4 
 
 88.6 
 
 20 
 
 18. 8 
 
 6.8 
 
 80 
 
 75-2 
 
 27.4 
 
 40 
 
 131. 6 
 
 47-9 
 
 200 
 
 187.9 
 
 68.4 
 
 60 
 
 244-3 
 
 88.9 
 
 21 
 
 19.7 
 
 7-2 
 
 Si 
 
 76.1 
 
 27.7 
 
 141 
 
 132.5 
 
 4 S.2 
 
 2OI 
 
 188.9 
 
 r 68. 7 
 
 261 
 
 245-3 
 
 89-3 
 
 22 
 
 20. 7 
 
 7-5 
 
 82 
 
 77-1 
 
 28.0 
 
 42 
 
 133-4 
 
 48.6 
 
 O2 
 
 189.8 
 
 69.1 
 
 62 
 
 246.2 
 
 89.6 
 
 23 
 
 21. 6 
 
 7-9 
 
 3 
 
 78.0 
 
 28.4 
 
 43 
 
 >34- 4 
 
 48.9 
 
 3 
 
 190.8 
 
 69.4 
 
 63 
 
 247. l 
 
 90.0 
 
 24 
 
 22. 6 
 
 8.2 
 
 84 
 
 /8.9 
 
 28.7 
 
 44 
 
 '35-3 
 
 49-3 
 
 04 
 
 191.7 
 
 69.8 
 
 64 
 
 248. I 
 
 90-3 
 
 25 
 
 23-5 
 
 8.6 
 
 85 
 
 79-9 
 
 29. I 
 
 45 
 
 36.3 
 
 49.6 
 
 05 
 
 192. 6 
 
 70.1 
 
 65 
 
 249.0 
 
 90. 6 
 
 26 
 
 24.4 
 
 8.9 
 
 86 
 
 80.8 
 
 29.4 
 
 46 
 
 137-2 
 
 49-9 
 
 06 
 
 193-6 
 
 70.5 
 
 66 
 
 250. o 
 
 91.0 
 
 27 
 
 25.4 
 
 9.2 
 
 87 
 
 81.8 
 
 29. 8 
 
 47 
 
 138.1 
 
 5-3 
 
 07 
 
 '94-5 
 
 70.8 
 
 67 
 
 250.9 
 
 91-3 
 
 28 
 
 26.3 
 
 9-6 
 
 88 
 
 82.7 
 
 30.1 
 
 48 
 
 139. I 
 
 50. 6 
 
 08 
 
 95-5 
 
 71.1 
 
 .68 
 
 251.8 
 
 9-7 
 
 29 
 
 27-3 
 
 9-9 
 
 89 
 
 83.6 
 
 3-4 
 
 49 
 
 140. o 
 
 51.0 
 
 09 
 
 196.4 
 
 71-5 
 
 69 
 
 252.8 
 
 92.0 
 
 3 
 
 28.2 
 
 10.3 
 
 90 
 
 84.6 
 
 30.8 
 
 5 
 
 140. o 
 
 5'-3 
 
 IO 
 
 197-3 
 
 71.8 
 
 70 
 
 253-7 
 
 92.3 
 
 3' 
 
 2 9 . I 
 
 10.6 
 
 9 
 
 85.5 
 
 3'- ' 
 
 '5' 
 
 141.9 
 
 51.6 
 
 211 
 
 "98.3 
 
 72.2 
 
 271 
 
 254-7 
 
 92.7 
 
 3 2 
 
 3-l 
 
 10. 9 
 
 92 
 
 86.5 
 
 3'- 5 
 
 5 2 
 
 142.8 
 
 52.0 
 
 I? 
 
 199.2 
 
 72.5 
 
 72 
 
 255-6 
 
 93- 
 
 33 
 
 31.0 
 
 "3 
 
 93 
 
 87.4 
 
 3-8 
 
 53 
 
 143.8 
 
 52-3 
 
 '3 
 
 200. 2 
 
 72.9 
 
 73 
 
 256.5 
 
 93-4 
 
 34 
 
 3'-9 
 
 11.6 
 
 94 
 
 88.3 
 
 32.1 
 
 54 
 
 144-7 
 
 52-7 
 
 14 
 
 201. I 
 
 73-2 
 
 74 
 
 257-5 
 
 93-7 
 
 35 
 
 32.9 
 
 12. O 
 
 95 
 
 89.3 
 
 32.5 
 
 55 
 
 "45-7 
 
 53.0 
 
 15 
 
 202. O 
 
 73-5 
 
 7 5 
 
 258.4 
 
 94- 
 
 36 
 
 33-8 
 
 I2. 3 
 
 96 
 
 90. 2 
 
 32.8 
 
 56 
 
 146.6 
 
 53-4 
 
 16 
 
 203.0 
 
 73-9 
 
 70 
 
 259.4 
 
 94-4 
 
 37 
 
 34-8 
 
 12.7 
 
 97 
 
 91.2 
 
 33-2 
 
 57 
 
 147-5 
 
 53-7 
 
 >7 
 
 203.9 
 
 74-2 
 
 77 
 
 260. 3 
 
 94- / 
 
 3 
 
 35-7 
 
 13-0 
 
 98 
 
 92.1 
 
 33-5 
 
 58 
 
 148.5 
 
 54-0 
 
 18 
 
 204.9 
 
 74.6 
 
 78 
 
 26l. 2 
 
 95. I 
 
 39 
 
 36.6 
 
 '3-3 
 
 99 
 
 93- 
 
 33-9 
 
 59 
 
 149.4 
 
 54-4 
 
 "9 
 
 205.8 
 
 74-9 
 
 79 
 
 262. 2 
 
 95-4 
 
 40 
 
 37-6 
 
 >3-7 
 
 100 
 
 94.0 
 
 34-2 
 
 60 
 
 150.4 
 
 54-7 
 
 20 
 
 206. 7 
 
 75-2 
 
 So 
 
 263. 1 
 
 95-8 
 
 4' 
 
 3S.5 
 
 14. o 
 
 101 
 
 94-9 
 
 34-5 
 
 161 
 
 >5'-3 
 
 55- i 
 
 221 
 
 207.7 
 
 75- 
 
 281 
 
 264. I 
 
 96. i 
 
 42 
 
 39-5 
 
 14.4 
 
 02 
 
 95-8 
 
 34-9 
 
 62 
 
 152. 2 
 
 55-4 
 
 22 
 
 208.6 
 
 75-9 
 
 82 
 
 265.0 
 
 96. ^ 
 
 43 
 
 40.4 
 
 '4-7 
 
 03 
 
 96.8 
 
 35-2 
 
 63 
 
 >53-2 
 
 55-7 
 
 23 
 
 209. 6 
 
 
 83 
 
 265. 9 
 
 96.8 
 
 44 
 
 41-3 
 
 '5-o 
 
 04 
 
 97-7 
 
 35-6 
 
 64 
 
 154.1 
 
 56.1 
 
 24 
 
 210. 5 
 
 76! 6 
 
 84 
 
 266. 9 
 
 97- ' 
 
 45 
 
 42-3 
 
 15.4 
 
 05 
 
 98.7 
 
 35-9 
 
 65 
 
 '55- 
 
 56.4 
 
 25 
 
 211.4 
 
 77.0 
 
 85 
 
 267.8 
 
 97 5 
 
 46 
 
 43-2 
 
 '5-7 
 
 06 
 
 99.6 
 
 36.3 
 
 66 
 
 156.0 
 
 56.8 
 
 26 
 
 212.4 
 
 77-3 
 
 86 
 
 268.8 
 
 97-8 
 
 47 
 
 44.2 
 
 76. i 
 
 07 
 
 100. 5 
 
 36.6 
 
 67 
 
 156.9 
 
 57- ' 
 
 27 
 
 213-3 
 
 77-6 
 
 87 
 
 269.7 
 
 98. 2 
 
 48 
 
 45.1 
 
 16. 4 
 
 08 
 
 101.5 
 
 36.9 
 
 68 
 
 '57-9 
 
 57-5 
 
 28 
 
 214. 2 
 
 78.0 
 
 88 
 
 270. 6 
 
 98.5 
 
 49 
 
 46. o 
 
 16. 8 
 
 09 
 
 102.4 
 
 37-3 
 
 69 
 
 158.8 
 
 57.8 
 
 29 
 
 215. 2 
 
 78.3 
 
 89 
 
 271.6 
 
 98.8 
 
 5 
 
 47.0 
 
 17.1 
 
 10 
 
 '3-4 
 
 37-6 
 
 70 
 
 '59- 7 
 
 58.1 
 
 3 
 
 2l6. 1 
 
 78.7 
 
 90 
 
 272.5 
 
 99. J 
 
 5i 
 
 47-9 
 
 17-4 
 
 III 
 
 104-3 
 
 3^-0 
 
 171 
 
 1 60. 7 
 
 58. c 
 
 23' 
 
 217. I 
 
 79.0 
 
 291 
 
 273-5 
 
 99- 5 
 
 52 
 
 48.9 
 
 17-8 
 
 12 
 
 105. 2 
 
 38.3 
 
 72 
 
 161.6 
 
 58.8 
 
 32 
 
 218.0 
 
 79-3 
 
 92 
 
 274-4 
 
 99-9 
 
 53 
 54 
 
 49.8 
 50.7 
 
 18. i 
 18.5 
 
 '3 
 
 14 
 
 106. 2 
 107. I 
 
 38.6 
 39-0 
 
 73 
 74 
 
 162.6 
 163-5 
 
 59-2 
 59-5 
 
 33 
 34 
 
 218.9 
 219.9 
 
 80.0 
 
 93 
 94 
 
 275-3 
 276. 3 
 
 100 .'. 
 
 too. (> 
 
 55 
 
 5'-7 
 
 18. 8 
 
 15 
 
 108. i 
 
 39-3 
 
 75 
 
 164.4 
 
 59-9 
 
 35 
 
 220. 8 
 
 80. 4 
 
 95 
 
 277-2 
 
 loo. 9 
 
 56 
 
 52.6 
 
 19.2 
 
 16 
 
 109. o 
 
 39-7 
 
 76 
 
 '65.4 
 
 60. 2 
 
 36 
 
 231.8 
 
 80. 7 
 
 96 
 
 278. i 
 
 101. 2 
 
 57, 
 
 53-6 
 
 9-5 
 
 '7 
 
 109.9 
 
 40. o 
 
 77 
 
 166.3 
 
 60. 5 
 
 37 
 
 222.7 
 
 81. i 
 
 97 
 
 279- i 
 
 101. 6 
 
 5$ 
 
 54-5 
 
 19.8 
 
 18 
 
 110. 9 
 
 ^0.4 
 
 78 
 
 167-3 
 
 60. 9 
 
 38 
 
 223.6 
 
 81.4 
 
 98 
 
 280. o 
 
 101. 9 
 
 59 
 
 55-4 
 
 20. 2 
 
 19 
 
 in. 8 
 
 40. 7 
 
 79 
 
 168.2 
 
 61.2 
 
 39 
 
 224. 6 
 
 81.7 
 
 99 
 
 281.0 
 
 102- 3 
 
 60 
 
 56.4 
 
 20. 5 
 
 20 
 
 112.8 
 
 41. o 
 
 80 
 
 169. i 
 
 61.6 
 
 40 
 
 225-5 
 
 82.1 
 
 300 
 
 281.9 
 
 102. 6 
 
 Dlst. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep, 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 70 Degrees. 
 
 133 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 21. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dop 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.9 
 
 0.4 
 
 61 
 
 56.9 
 
 21.9 
 
 121 
 
 113. o 
 
 43 4 
 
 IS! 
 
 169.0 
 
 04.9 
 
 241 
 
 225.0 
 
 86.4 
 
 2 
 
 1-9 
 
 0.7 
 
 62 
 
 57-9 
 
 22. 2 
 
 22 
 
 n 3-9 
 
 43-7 
 
 82 
 
 169.9 
 
 65.2 
 
 42 
 
 225.9 
 
 86.7 
 
 3 
 
 2.8 
 
 I. I 
 
 63 
 
 58.8 
 
 22.6 
 
 23 
 
 114.8 
 
 44-1 
 
 83 
 
 170.8 
 
 65.6 
 
 43 
 
 226. 9 
 
 87.1 
 
 4 
 
 3-7 
 
 1.4 
 
 64 
 
 59-7 
 
 22. 9 
 
 24 
 
 115.8 
 
 44-4 
 
 84 
 
 171.8 
 
 65.9 
 
 44 
 
 227.8 
 
 87.4 
 
 5 
 
 4-7 
 
 1.8 
 
 65 
 
 60. 7 
 
 23-3 
 
 2 5 
 
 116. 7 
 
 44.8 
 
 85 
 
 172.7 
 
 66.3 
 
 45 
 
 228.7 
 
 87.8 
 
 6 
 
 5-6 
 
 2. 2 
 
 66 
 
 61.6 
 
 23-7 
 
 26 
 
 117. 6 
 
 45.2 
 
 86 
 
 '73- 6 
 
 66. 7 
 
 46 
 
 229. 7 
 
 83. 2 
 
 7 
 
 6-5 
 
 2-5 
 
 67 
 
 62.3 
 
 24-0 
 
 27 
 
 118, 6 
 
 45-5 
 
 87 
 
 174.6 
 
 67. o 
 
 47 
 
 230. 6 
 
 88.5 
 
 8 
 
 Z ; 5 
 
 2.9 
 
 68 
 
 6.3-5 
 
 24.4 
 
 28 
 
 119.5 
 
 45-9 
 
 88 
 
 '75-5 
 
 67.4 
 
 48 
 
 23I-5 
 
 8S. 9 
 
 9 
 
 8.4 
 
 S- 2 
 
 69 
 
 64.4 
 
 24.7 
 
 29 
 
 120. 4 
 
 46. 2 
 
 89 
 
 176.4 
 
 67-7 
 
 49 
 
 232.5 
 
 89.2 
 
 10 
 
 9-3 
 
 3-6 
 
 70 
 
 65-4 
 
 25.1 
 
 3 
 
 121.4 
 
 46.6 
 
 90 
 
 1/7-4 
 
 68. i 
 
 5 
 
 233-4 
 
 89.6 
 
 II 
 
 10.3 
 
 3-9 
 
 71 
 
 66.3 
 
 25-4 
 
 13' 
 
 122. 3 
 
 46.9 
 
 191 
 
 178.3 
 
 68.4 
 
 251 
 
 234-3 
 
 90. o 
 
 12 
 
 II. 2 
 
 4-3 
 
 72 
 
 67.2 
 
 2 5 .8 
 
 32 
 
 123.2 
 
 47-3 
 
 92 
 
 179.2 
 
 68.8 
 
 5 2 
 
 235-3 
 
 9-3 
 
 13 
 
 12. I 
 
 4-7 
 
 73 
 
 68. 2 
 
 26. 2 
 
 33 
 
 124. 2 
 
 47-7 
 
 93 
 
 180.2 
 
 69.2 
 
 53 
 
 236.2 
 
 90. 7 
 
 14 
 
 I3-I 
 
 5- 
 
 74 
 
 69. i 
 
 26.5 
 
 34 
 
 I2 S .I 
 
 48.0 
 
 94 
 
 181. i 
 
 6 9-5 
 
 54 
 
 237- ' 
 
 91.0 
 
 15 
 
 14.0 
 
 5-4 
 
 75 
 
 70. o 
 
 26. 9 
 
 35 
 
 126. o 
 
 48.4 
 
 95 
 
 182.0 
 
 69.9 
 
 55 
 
 238.1 
 
 91.4 
 
 16 
 
 14.9 
 
 5-7 
 
 76 
 
 71.0 
 
 27.2 
 
 36 
 
 127.0 
 
 48.7 
 
 96 
 
 183.0 
 
 70.2 
 
 5 6 
 
 239.0 
 
 91.7 
 
 'Z 
 
 15.9 
 
 6.1 
 
 77 
 
 71.9 
 
 27.6 
 
 37 
 
 127.9 
 
 49- l 
 
 97 
 
 183-9 
 
 70. 6 
 
 57 
 
 239.9 
 
 92.1 
 
 18 
 
 16.8 
 
 6-5 
 
 78 
 
 72-8 
 
 28.0 
 
 38 
 
 128.8 
 
 49- 5 
 
 98 
 
 184.8 
 
 71.0 
 
 58 
 
 240.9 
 
 92.5 
 
 19 
 
 '7-7 
 
 6.8 
 
 79 
 
 73-8 
 
 28.3 
 
 39 
 
 129.8 
 
 40. 8 
 
 99 
 
 185.8 
 
 "1-3 
 
 59 
 
 241.8 
 
 92.8 
 
 20 
 
 18.7 
 
 7-2 
 
 80 
 
 74-7 
 
 28.7 
 
 40 
 
 130. 7 
 
 50.2 
 
 200 
 
 186. 7 
 
 71.7 
 
 60 
 
 242. 7 
 
 93-2 
 
 21 
 
 19. 6 
 
 7-5 
 
 81 
 
 75.6 
 
 29.0 
 
 141 
 
 131. 6 
 
 50.5 
 
 201 
 
 187.6 
 
 72.0 
 
 261 
 
 243- 7 
 
 93-5 
 
 22 
 
 20. 5 
 
 7-9 
 
 82 
 
 76. 6 
 
 29.4 
 
 42 
 
 132.6 
 
 50.9 
 
 02 
 
 188. 6 
 
 72.4 
 
 62 
 
 244.6 
 
 93-9 
 
 23 
 
 21.5 
 
 8.2 
 
 83 
 
 77-5 
 
 29.7 
 
 43 
 
 133-5 
 
 51.2 
 
 3 
 
 189.5 
 
 72.7 
 
 63 
 
 245-5 
 
 94-3 
 
 24 
 
 22.4 
 
 8.6 
 
 84 
 
 78.4 
 
 30.1 
 
 44 
 
 >34-4 
 
 51.6 
 
 04 
 
 190.5 
 
 73-1 
 
 64 
 
 246.5 
 
 94-6 
 
 25 
 
 23-3 
 
 9.0 
 
 85 
 
 79-4 
 
 3-5 
 
 45 
 
 135-4 
 
 52.0 
 
 5 
 
 191.4 
 
 73-5 
 
 65 
 
 247-4 
 
 95-o 
 
 2O 
 
 24-3 
 
 9-3 
 
 86 
 
 So. 3 
 
 30.8 
 
 46 
 
 '3 6 -3 
 
 52.3 
 
 06 
 
 192.3 
 
 73-8 
 
 66 
 
 248.3 
 
 95-3 
 
 27 
 
 25.2 
 
 9-7 
 
 87 
 
 81.2 
 
 31.2 
 
 47 
 
 '37-2 
 
 52.7 
 
 o? 
 
 193-3 
 
 74-2 
 
 67 
 
 249-3 
 
 95-7 
 
 28 
 
 26. i 
 
 10. O 
 
 88 
 
 82.2 
 
 3'-5 
 
 48 
 
 138.2 
 
 53-0 
 
 08 
 
 194.2 
 
 74-5 
 
 68 
 
 250.2 
 
 96. o 
 
 29 
 
 27.1 
 
 10.4 
 
 89 
 
 83.1 
 
 3'-9 
 
 49 
 
 139. i 
 
 53-4 
 
 09 
 
 195. I 
 
 74-9 
 
 69 
 
 251.1 
 
 96.4 
 
 3 
 
 28.0 
 
 10.8 
 
 90 
 
 84.0 
 
 32-3 
 
 5 
 
 140. o 
 
 53-8 
 
 10 
 
 196. i 
 
 75-3 
 
 70 
 
 252.1 
 
 96.8 
 
 3' 
 
 28.9 
 
 11. i 
 
 .91 
 
 85.0 
 
 32.6 
 
 '5' 
 
 141.0 
 
 54.1 
 
 211 
 
 197.0 
 
 75-6 
 
 271 
 
 253.0 
 
 97-1 
 
 32 
 
 29.9 
 
 u. 5 
 
 9.2 
 
 85.9 
 
 33- o 
 
 52 
 
 141.9 
 
 54-5 
 
 12 
 
 197-9 
 
 76. o 
 
 72 
 
 253-9 
 
 97-5 
 
 33 
 
 30.8 
 
 11. 8 
 
 93 
 
 86.8 
 
 33-3 
 
 53 
 
 142.8 
 
 54-8 
 
 13 
 
 198.9 
 
 76.3 
 
 73 
 
 254-9 
 
 97-8 
 
 34 
 
 3'-7 
 
 12.2 
 
 94 
 
 87.8 
 
 33-7 
 
 54 
 
 "43-8 
 
 55-2 
 
 H 
 
 199-8 
 
 76.7 
 
 74 
 
 255-8 
 
 98.2 
 
 35 
 
 32-7 
 
 12.5 
 
 95 
 
 88.7 
 
 34-0 
 
 55 
 
 144-7 
 
 55-5 
 
 15 
 
 200. 7 
 
 77.0 
 
 75 
 
 256.7 
 
 98.6 
 
 36 
 
 33-6 
 
 12.9 
 
 96 
 
 89.6 
 
 34-4 
 
 56 
 
 145.6 
 
 55-9 
 
 16 
 
 201. 7 
 
 77-4 
 
 76 
 
 257-7 
 
 98.9 
 
 37 
 
 34-5 
 
 13-3 
 
 97 
 
 90.6 
 
 34-8 
 
 57 
 
 146. 6 
 
 56.3 
 
 17 
 
 202. 6 
 
 77.8 
 
 77 
 
 258.6 
 
 99-3 
 
 38 
 
 35-5 
 
 I 3 .6 
 
 98 
 
 91.5 
 
 35-1 
 
 58 
 
 147-5 
 
 56.6 
 
 18 
 
 203.5 
 
 78.1 
 
 78 
 
 259-5 
 
 99.6 
 
 39 
 
 3 6 -4 
 
 14.0 
 
 99 
 
 92.4 
 
 35-5 
 
 59 
 
 148.4 
 
 57.0 
 
 >9 
 
 204,5 
 
 78.5 
 
 79 
 
 260.5 
 
 IOO. O 
 
 40 
 
 37-3 
 
 14-3 
 
 IOO 
 
 93-4 
 
 35- 8 
 
 60 
 
 149.4 
 
 57-3 
 
 20 
 
 205.4 
 
 78.8 
 
 80 
 
 261. 4 
 
 loo. 3 
 
 4' 
 
 3*3 
 
 14.7 
 
 101 
 
 94-3 
 
 36.2 
 
 161 
 
 '5-3 
 
 57-7 
 
 221 
 
 206. 3 
 
 79.2 
 
 281 
 
 262. 3 
 
 loo. 7 
 
 42 
 
 39-2 
 
 IS.I 
 
 02 
 
 95-2 
 
 36.6 
 
 62 
 
 151. 2 
 
 58.1 
 
 22 
 
 207.3 
 
 79-6 
 
 82 
 
 263.3 
 
 101. I 
 
 43 
 
 40.1 
 
 15.4 
 
 03 
 
 96.2 
 
 36-9 
 
 63 
 
 152.2 
 
 58.4 
 
 23 
 
 208. 2 
 
 79-9 
 
 83 
 
 264. 2 
 
 101.4 
 
 44 
 
 41.1 
 
 I 5 .8 
 
 4 
 
 97.1 
 
 37-3 
 
 64 
 
 I53-I 
 
 58.8 
 
 24 
 
 209. 1 
 
 80.3 
 
 84 
 
 265. I 
 
 101.8 
 
 45 
 
 42. o 
 
 16. i 
 
 5 
 
 98.0 
 
 37-6 
 
 65 
 
 154.0 
 
 59-1 
 
 25 
 
 210. I 
 
 80.6 
 
 85 
 
 266. I 
 
 102. I 
 
 46 
 
 42.9 
 
 16.5 
 
 06 
 
 99.0 
 
 38.0 
 
 66 
 
 155-0 
 
 59-5 
 
 26 
 
 211. O 
 
 81.0 
 
 86 
 
 267. o 
 
 102. 5 
 
 g 
 
 43-9 
 44-8 
 
 16.8 
 17.2 
 
 7 
 08 
 
 99-9 
 100.8 
 
 38.3 
 38.7 
 
 % 
 
 155-9 
 156.8 
 
 59-8 
 
 60. 2 
 
 11 
 
 2II.9 
 212.9 
 
 81.3 
 81.7 
 
 87 
 
 88 
 
 267. 9 
 268.9 
 
 102.9 
 103.2 
 
 49 
 
 45-7 
 
 17.6 
 
 09 
 
 101.8 
 
 39-1 
 
 69 
 
 157.8 
 
 60.6 
 
 29 
 
 213.8 
 
 82.1 
 
 89 
 
 269.8 
 
 103. 6 
 
 5 
 
 46.7 
 
 >7-9 
 
 10 
 
 102. 7 
 
 39-4 
 
 70 
 
 158.7 
 
 60. 9 
 
 3 
 
 214.7 
 
 82.4 
 
 90 
 
 270. 7 
 
 103.9 
 
 5' 
 
 47.6 
 
 i. 3 
 
 MV 
 
 103. 6 
 
 39-8 
 
 i/i 
 
 159. 6 
 
 61.3 
 
 231 
 
 215.7 
 
 82.8 
 
 291 
 
 271. 7 
 
 104.3 
 
 52 
 
 48.5 
 
 18. 6 
 
 12 
 
 104. 6 
 
 40. I 
 
 7 2 
 
 160.6 
 
 61.6 
 
 3 2 
 
 216.6 
 
 83.1 
 
 92 
 
 272. 6 
 
 104. 6 
 
 53 
 
 49-5 
 
 19.0 
 
 3 
 
 >5-5 
 
 40.5 
 
 73 
 
 161. 5 
 
 62.0 
 
 33 
 
 217-5 
 
 83-5 
 
 93 
 
 273-5 
 
 105. o 
 
 54 
 
 5-4 
 
 19.4 
 
 H 
 
 106. 4 
 
 40.9 
 
 74 
 
 162.4 
 
 62. 4 
 
 34 
 
 218.5 
 
 83-9 
 
 94 
 
 274-5 
 
 105.4 
 
 55 
 
 5i-3 
 
 19.7 
 
 15 
 
 107.4 
 
 41.2 
 
 75 
 
 163.4 
 
 62.7 
 
 35 
 
 219.4 
 
 84.2 
 
 95 
 
 275-4 
 
 105.7 
 
 5 6 
 
 52-3 
 
 20. i 
 
 16 
 
 108.3 
 
 41. 6 
 
 76 
 
 164.3 
 
 63.1 
 
 36 
 
 220. 3 
 
 84.6 
 
 56 
 
 276-3 
 
 1 06. i 
 
 57 
 
 53-2 
 
 20.4 
 
 17 
 
 log. 2 
 
 41.9 
 
 n 
 
 165.2 
 
 63-4 
 
 37 
 
 221. 3 
 
 84.9 
 
 92 
 
 277-3 
 
 106.4 
 
 58 
 
 54.1 
 
 20.8 
 
 18 
 
 110. 2 
 
 42.3 
 
 78 
 
 166.2 
 
 63.8 
 
 38 
 
 222. 2 
 
 85-3 
 
 98 
 
 278.2 
 
 106. 8 
 
 So 
 
 55-1 
 56.0 
 
 21. I 
 2I.S 
 
 19 
 
 20 
 
 III. I 
 112. 
 
 42.6 
 43- 
 
 79 
 So 
 
 167. i 
 168. o 
 
 64. I 
 64.5 
 
 39 
 
 40 
 
 223. I 
 224. I 
 
 85.6 
 86.0 
 
 99 
 300 
 
 279. i 
 280.1 
 
 107.2 
 107.5 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep, 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 69 Degrees. 
 
 13-i 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 22. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 n:st. 
 
 Lat. 
 
 Dcp. 
 
 Dist. 
 
 Laf. 
 
 Dcp. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.9 
 
 0.4 
 
 6l 
 
 56.6 
 
 22.9 
 
 121 
 
 112. 2 
 
 45-3 
 
 181 
 
 167.8 
 
 67.8 
 
 241 
 
 223.5 
 
 90.3 
 
 2 
 
 1.9 
 
 0.7 
 
 62 
 
 57-5 
 
 23.2 
 
 22 
 
 H3- 
 
 45-7 
 
 82 
 
 I6S. 7 
 
 68.2 
 
 42 
 
 224.4 
 
 90.7 
 
 3 
 
 2.8 
 
 I. I 
 
 63 
 
 58.4 
 
 2 3 .6 
 
 23 
 
 114. o 
 
 46.1 
 
 83 
 
 169. 7 
 
 63. 6 
 
 43 
 
 225- 3 
 
 9I.O 
 
 4 
 
 3- 7 
 
 5 
 
 64 
 
 59-3 
 
 24. o 
 
 24 
 
 115. o 
 
 46.5 
 
 84 
 
 170. 6 
 
 68.9 
 
 44 
 
 226. 2 
 
 91.4 
 
 
 4-6 
 5-6 
 
 1-9 
 
 2. 2 
 
 U 
 
 60. 3 
 61.2 
 
 24-3 
 
 24. 7 
 
 3 
 
 115.9 
 
 116. 8 
 
 46. 8 
 47-2 
 
 85 
 
 86 
 
 171.5 
 172.5 
 
 69- 3 
 69.7 
 
 4 l 
 46 
 
 227.2 
 228. I 
 
 91.8 
 92. 2 
 
 7 
 
 6.5 
 
 2.6 
 
 67 
 
 62.1 
 
 25.1 
 
 27 
 
 117.8 
 
 47.6 
 
 87 
 
 173-4 
 
 70. i 
 
 47 
 
 229. o 
 
 92. 5 
 
 8 
 
 7-4 
 
 3- 
 
 68 
 
 63. o 
 
 2 5-5 
 
 28 
 
 118. 7 
 
 47-9 
 
 88 
 
 174-3 
 
 70.4 
 
 48 
 
 229.9 
 
 92.9 
 
 9 
 
 8-3 
 
 3-4 
 
 69 
 
 64. o 
 
 25.8 
 
 29 
 
 119. 6 
 
 48.3 
 
 89 
 
 175-2 
 
 70.8 
 
 49 
 
 230.9 
 
 93-3 
 
 10 
 
 9-3 
 
 3-7 
 
 70 
 
 64.9 
 
 26.2 
 
 3 
 
 120. 5 
 
 48.7 
 
 90 
 
 176. 2 
 
 71.2 
 
 5 
 
 2JI.8 
 
 93-7 
 
 II 
 
 IO. 2 
 
 4- i 
 
 7i 
 
 65.8 
 
 26.6 
 
 3i 
 
 121. 5 
 
 49. I 
 
 191 
 
 I77-I 
 
 71-5 
 
 251 
 
 232.7 
 
 94-0 
 
 12 
 
 II. I 
 
 4-5 
 
 72 
 
 66.8 
 
 27.0 
 
 32 
 
 122.4 
 
 49-4 
 
 92 
 
 178.0 
 
 71-9 
 
 52 
 
 233-7 
 
 94-4 
 
 13 
 
 12. I 
 
 4-9 
 
 73 
 
 67.7 
 
 27-3 
 
 33 
 
 I2 3-3 
 
 49.8 
 
 93 
 
 178.9 
 
 72-3 
 
 53 
 
 234-6 
 
 94-8 
 
 M 
 
 '3- 
 
 5.2 
 
 74 
 
 68.6 
 
 27-7 
 
 34 
 
 124. 2 
 
 50.2 
 
 94 
 
 179-9 
 
 72.7 
 
 54 
 
 235-5 
 
 95.2 
 
 15 
 
 '3-9 
 
 5-6 
 
 75 
 
 69.5 
 
 28.1 
 
 35 
 
 125.2 
 
 50. 6 
 
 95 
 
 l8o.8 
 
 73-0 
 
 55 
 
 236.4 
 
 95-5 
 
 10 
 
 14.8 
 
 6.0 
 
 76 
 
 70.5 
 
 28.5 
 
 3 
 
 I2b. I 
 
 50.9 
 
 96 
 
 181. 7 
 
 73-4 
 
 56 
 
 237.4 
 
 95-9 
 
 17 
 
 15.8 
 
 6.4 
 
 77 
 
 71.4 
 
 28.8 
 
 37 
 
 127. o 
 
 5i-3 
 
 97 
 
 182. 7 
 
 73-8 
 
 57 
 
 238.3 
 
 96.3 
 
 18 
 
 16.7 
 
 6.7 
 
 78 
 
 72.3 
 
 29. 2 
 
 38 
 
 128.0 
 
 r-7 
 
 98 
 
 183.6 
 
 74-2 
 
 58 
 
 239.2 
 
 96.6 
 
 19 
 
 17.6 
 
 7-' 
 
 79 
 
 73-2 
 
 29. 6 
 
 39 
 
 128.9 
 
 52.1 
 
 99 
 
 184.5 
 
 74-5 
 
 59 
 
 240. I 
 
 97.0 
 
 20 
 
 18. s 
 
 7-5 
 
 80 
 
 74-2 
 
 30. o 
 
 40 
 
 129.8 
 
 5-- 4 
 
 200 
 
 185.4 
 
 74-9 
 
 60 
 
 241. I 
 
 97-4 
 
 21 
 
 19-5 
 
 7-9 
 
 Si 
 
 75- 
 
 3-3 
 
 141 
 
 130.7 
 
 52.8 
 
 301 
 
 ibt>. 4 
 
 75-3 
 
 261 
 
 242. o 
 
 97-8 
 
 22 
 
 20. 4 
 
 8.2 
 
 82 
 
 76.0 
 
 3- 7 
 
 42 
 
 131-7 
 
 53-2 
 
 02 
 
 187-3 
 
 75-7 
 
 62 
 
 242.9 
 
 98.1 
 
 23 
 
 21.3 
 
 8.6 
 
 83 
 
 77.0 
 
 3'-' 
 
 43 
 
 132.6 
 
 53-6 
 
 3 
 
 ISS. 2 
 
 76.0 
 
 63 
 
 243.8 
 
 98.5 
 
 24 
 
 22.3 
 
 9.0 
 
 84 
 
 77-9 
 
 31-5 
 
 44 
 
 133-5 
 
 53-9 
 
 04 
 
 189. i 
 
 76.4 
 
 64 
 
 244.8 
 
 98.9 
 
 25 
 
 23. 2 
 
 9-4 
 
 85 
 
 78.8 
 
 
 45 
 
 134-4 
 
 54-3 
 
 >5 
 
 190. i 
 
 76.8 
 
 65 
 
 245.7 
 
 99-3 
 
 26 
 
 24.1 
 
 9-7 
 
 86 
 
 79- 7 
 
 32-2 
 
 46 
 
 135-4 
 
 54-7 
 
 06 
 
 191. o 
 
 77-2 
 
 66 
 
 246. 6 
 
 99-6 
 
 27 
 
 25. o 
 
 10. I 
 
 7 
 
 80. 7 
 
 32-6 
 
 47 
 
 136-3 
 
 55-1 
 
 7 
 
 191-9 
 
 77-5 
 
 67 
 
 247.6 
 
 IOO. O 
 
 28 
 
 26. o 
 
 10.5 
 
 88 
 
 81.6 
 
 33-o 
 
 48 
 
 37-2 
 
 55-4 
 
 08 
 
 192.9 
 
 77-9 
 
 68 
 
 248.5 
 
 loo. 4 
 
 29 
 
 26.9 
 
 10. 9 
 
 89 
 
 82.5 
 
 33-3 
 
 49 
 
 138.2 
 
 55-8 
 
 09 
 
 193-8 
 
 78.3 
 
 6 
 
 249.4 
 
 100.8 
 
 3 
 
 27.8 
 
 II. 2 
 
 90 
 
 83.4 
 
 33-7 
 
 5 
 
 I39.I 
 
 56.2 
 
 10 
 
 194. 7 
 
 78-7 
 
 7o 
 
 250-3 
 
 101. I 
 
 3' 
 
 28.7 
 
 ii. 6 
 
 91 
 
 84.4 
 
 34- i 
 
 J5' 
 
 140. o 
 
 56. 6 
 
 211 
 
 195.6 
 
 79-o 
 
 271 
 
 251-3 
 
 101. 5 
 
 32 
 
 29 7 
 
 12. O 
 
 92 
 
 & 3 
 
 34-5 
 
 52 
 
 140.9 
 
 5 6 -9 
 
 12 
 
 196. 6 
 
 79-4 
 
 72 
 
 252. 2 
 
 101. 9 
 
 33 
 
 30. 6 
 
 12.4 
 
 93 
 
 86.2 
 
 34-8 
 
 53 
 
 141.9 
 
 57-3 
 
 13 
 
 197-5 
 
 79.8 
 
 73 
 
 253.I 
 
 102. I 
 
 34 
 
 3'- 5 
 
 12.7 
 
 94 
 
 87.2 
 
 35-2 
 
 54 
 
 142.8 
 
 57-7 
 
 14 
 
 198.4 
 
 80.2 
 
 74 
 
 254.0 
 
 102. 6 
 
 35 
 
 32-5 
 
 I3-I 
 
 95 
 
 88. i 
 
 35-6 
 
 55 
 
 143-7 
 
 58.1 
 
 15 
 
 199.3 
 
 So. 5 
 
 75 
 
 255.0 
 
 103. o 
 
 36 
 
 33-4 
 
 13-5 
 
 96 
 
 89.0 
 
 36. o 
 
 5 6 
 
 144.6 
 
 <S. 4 
 
 16 
 
 200.3 
 
 80.9 
 
 76 
 
 255-9 
 
 103.4 
 
 37 
 
 34-3 
 
 13-9 
 
 97 
 
 89.9 
 
 36.3 
 
 57 
 
 145.6 
 
 58.8 
 
 17 
 
 201. 2 
 
 8'- 3 
 
 77 
 
 256. 8 
 
 103.8 
 
 38 
 
 35- 2 
 
 14.2 
 
 98 
 
 90. 9 
 
 36.7 
 
 58 
 
 146.5 
 
 59.2 
 
 18 
 
 202. I 
 
 81.7 
 
 73 
 
 257-8 
 
 104. 1 
 
 39 
 
 36.2 
 
 14. 6 
 
 99 
 
 91.8 
 
 37- 1 
 
 59 
 
 147-4 
 
 59-6 
 
 19 
 
 203. I 
 
 82.0 
 
 79 
 
 258.7 
 
 104.5 
 
 40 
 
 37-1 
 
 15.0 
 
 IOO 
 
 92.7 
 
 37-5 
 
 60 
 
 H8.3 
 
 59-9 
 
 20 
 
 204. o 
 
 82.4 
 
 80 
 
 259.6 
 
 104.9 
 
 4' 
 
 38.0 
 
 15.4 
 
 101 
 
 93- 6 
 
 37- 
 
 101 
 
 149-3 
 
 60. 3 
 
 221 
 
 204. 9 
 
 82.8 
 
 281 
 
 260. 5 
 
 I0 5-3 
 
 42 
 
 38.9 
 
 '5-7 
 
 02 
 
 94.6 
 
 38.2 
 
 62 
 
 150.2 
 
 60.7 
 
 22 
 
 205. 8 
 
 83.2 
 
 82 
 
 261. 5 
 
 105.6 
 
 43 
 
 39-9 
 
 16. i 
 
 03 
 
 95-5 
 
 38.6 
 
 63 
 
 151.1 
 
 61. I 
 
 23 
 
 206. 8 
 
 83.5 
 
 83 
 
 262. 4 
 
 106. o 
 
 44 
 
 40.8 
 
 16.5 
 
 04 
 
 96.4 
 
 39-0 
 
 64 
 
 152.1 
 
 61.4 
 
 24 
 
 207.7 
 
 83-9 
 
 84 
 
 263.3 
 
 1 06. 4 
 
 45 
 
 41.7 
 
 16. 9 
 
 5 
 
 97-4 
 
 39-3 
 
 65 
 
 I53.o 
 
 61.8 
 
 25 
 
 208.6 
 
 4.3 
 
 85 
 
 264.2 
 
 106. 8 
 
 46 
 
 42.7 
 
 17.2 
 
 06 
 
 98.3 
 
 39-7 
 
 66 
 
 I53.9 
 
 62.2 
 
 26 
 
 209.5 
 
 84-7 
 
 86 
 
 265. 2 
 
 107. i 
 
 47 
 
 43-6 
 
 17.6 
 
 07 
 
 99-2 
 
 40. i 
 
 67 
 
 154.8 
 
 62.6 
 
 2? 
 
 210. 5 
 
 85.0 
 
 87 
 
 266. i 
 
 107.5 
 
 48 
 
 44-5 
 
 18. o 
 
 08 
 
 IOO. I 
 
 40.5 
 
 68 
 
 155.8 
 
 62. 9 
 
 28 
 
 2II.4 
 
 85.4 
 
 88 
 
 267. o 
 
 107.9 
 
 49 
 
 45-4 
 
 18.4 
 
 09 
 
 101. I 
 
 40. 8 
 
 69 
 
 156. 7 
 
 63-3 
 
 29 
 
 212.3 
 
 85.8 
 
 89 
 
 268. o 
 
 108.3 
 
 5 
 
 46.4 
 
 18.7 
 
 10 
 
 IO2. O 
 
 41.2 
 
 70 
 
 157.6 
 
 63.7 
 
 3 
 
 213-3 
 
 86.2 
 
 90 
 
 268. 9 
 
 108. 6 
 
 5' 
 
 47-3 
 
 19.1 
 
 III 
 
 102. 9 
 
 41. 6 
 
 171 
 
 158.5 
 
 64.1 
 
 2 3' 
 
 214. 2 
 
 867s 
 
 291 
 
 269. 8 
 
 109. o 
 
 52 
 
 48.2 
 
 19.5 
 
 12 
 
 103.8 
 
 42. o 
 
 72 
 
 159.5 
 
 64.4 
 
 32 
 
 215. I 
 
 86. 9 
 
 92 
 
 270.7 
 
 109.4 
 
 53 
 
 49- I 
 
 19.9 
 
 3 
 
 104. 8 
 
 42.3 
 
 73 
 
 1 60. 4 
 
 64.8 
 
 33 
 
 216. o 
 
 87.3 
 
 93 
 
 271.7 
 
 109.8 
 
 54 
 
 50.1 
 
 20.2 
 
 H 
 
 105.7 
 
 42.7 
 
 74 
 
 ifai. 3 
 
 65. 2 
 
 34 
 
 217. o 
 
 87.7 
 
 94 
 
 272. 6 
 
 I 10. I 
 
 55 
 
 51.0 
 
 20.6 
 
 S 
 
 106. 6 
 
 43-1 
 
 75 
 
 162. 3 
 
 65.6 
 
 35 
 
 217. o 
 
 88.0 
 
 95 
 
 273-5 
 
 no. 5 
 
 56 
 
 5'-9 
 
 21. O 
 
 16 
 
 107. 6 
 
 43-5 
 
 76 
 
 163. 2 
 
 65.9 
 
 3" 
 
 218.8 
 
 88.4 
 
 96 
 
 274.4 
 
 no. 9 
 
 57 
 
 52.8 
 
 21.4 
 
 l l 
 
 108.5 
 
 43-8 
 
 77 
 
 164. i 
 
 66.3 
 
 37 
 
 219.7 
 
 88.8 
 
 97 
 
 275-4 
 
 111.3 
 
 58 
 
 53-8 
 
 21.7 
 
 18 
 
 109.4 
 
 44-2 
 
 78 
 
 165. o 
 
 66. 7 
 
 38 
 
 220. 7 
 
 89. 2 
 
 98 
 
 276.3 
 
 ill. 6 
 
 59 
 
 54-7 
 
 22. I 
 
 19 
 
 no. 3 
 
 44.6 
 
 79 
 
 1 66. o 
 
 67.1 
 
 39 
 
 221. 6 
 
 89.5 
 
 99 
 
 277.2 
 
 112. O 
 
 60 
 
 55.6 
 
 22-5 
 
 20 
 
 111.3 
 
 45.0 
 
 So 
 
 166. 9 
 
 67.4 
 
 40 
 
 222. 5 
 
 89-9 
 
 300 
 
 278.2 
 
 112.4 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Diet 
 
 Dcp. 
 
 Lat 
 
 [For 6S Degree*. 
 
 135 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 23. 
 
 Dlst 
 
 Lat 
 
 Dep 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 I 
 
 o. g 
 
 O. i, 
 
 61 
 
 56.2 
 
 23-8 
 
 121 
 
 in. 4 
 
 47-3 
 
 181 
 
 166.6 
 
 70.7 
 
 241 
 
 221.8 
 
 94.2 
 
 i 
 
 1.8 
 
 o.S 
 
 62 
 
 57-' 
 
 '24.2 
 
 22 
 
 112.3 
 
 47-7 
 
 82 
 
 167.5 
 
 71. I 
 
 42 
 
 222.8 
 
 94.6 
 
 
 
 2.8 
 
 1.2 
 
 63 
 
 58.0 
 
 24.6 
 
 2 3 
 
 113.2 
 
 48.1 
 
 83 
 
 168.5 
 
 71-5 
 
 43 
 
 223.7 
 
 94-9 
 
 4 
 
 3-7 
 
 1.6 
 
 64 
 
 58.9 
 
 25.0 
 
 24 
 
 114. I 
 
 48.5 
 
 84 
 
 169.4 
 
 71.9 
 
 44 
 
 224.6 
 
 95-3 
 
 t 
 
 4.6 
 
 2. O 
 
 65 
 
 50.8 
 
 25-4 
 
 25 
 
 115.1 
 
 48.8 
 
 85 
 
 170-3 
 
 72.3 
 
 45 
 
 225.5 
 
 95-7 
 
 6 
 
 5-5 
 
 2. : 
 
 66 
 
 60.8 
 
 25.8 
 
 26 
 
 1 16. o 
 
 49-2 
 
 86 
 
 I7I.2 
 
 72.7 
 
 46 
 
 226.4 
 
 96. i 
 
 ' 
 
 6.4 
 
 2.7 
 
 67 
 
 61.7 
 
 26.2 
 
 27 
 
 116. 9 
 
 49-6 
 
 87 
 
 172.1 
 
 73-i 
 
 47 
 
 227.4 
 
 96.5 
 
 8 
 
 7-4 
 
 3-1 
 
 68 
 
 62.6 
 
 26.6 
 
 28 
 
 117.8 
 
 50. o 
 
 88 
 
 I73-I 
 
 73-5 
 
 48 
 
 228.3 
 
 96-9 
 
 9 
 
 8-3 
 
 3-5 
 
 69 
 
 63.5 
 
 27.0 
 
 29 
 
 118.7 
 
 5-4 
 
 89 
 
 174.0 
 
 73-8 
 
 49 
 
 229. 2 
 
 97-3 
 
 10 
 
 9.2 
 
 3-9 
 
 70 
 
 64.4 
 
 27.4 
 
 3 
 
 119.7 
 
 50.8 
 
 90 
 
 174-9 
 
 74-2 
 
 5 
 
 230. I 
 
 97-7 
 
 ii 
 
 10. I 
 
 4-3 
 
 71 
 
 65.4 
 
 27.7 
 
 131 
 
 120.6 
 
 51.2 
 
 191 
 
 175.8 
 
 74-6 
 
 251 
 
 23I.O 
 
 98. i 
 
 12 
 
 II. 
 
 4-7 
 
 72 
 
 66.3 
 
 28. i 
 
 32 
 
 121. 5 
 
 51.6 
 
 92 
 
 176.7 
 
 75- 
 
 52 
 
 232. o 
 
 98-5 
 
 u 
 
 12. O 
 
 5-i 
 
 73 
 
 67.2 
 
 28.5 
 
 33 
 
 122.4 
 
 52. o 
 
 93 
 
 177-7 
 
 75-4 
 
 53 
 
 232.9 
 
 98.9 
 
 14 
 
 12.9 
 
 5-5 
 
 74 
 
 68. i 
 
 28.9 
 
 34 
 
 123.3 
 
 52.4 
 
 94 
 
 178.6 
 
 75-8 
 
 54 
 
 233-8 
 
 99.2 
 
 15 
 
 IJ.8 
 
 5-9 
 
 75 
 
 69. o 
 
 29-3 
 
 35 
 
 '24.* 
 
 52-7 
 
 95 
 
 179-5 
 
 76.2 
 
 55 
 
 234- 7 
 
 99.6 
 
 16 
 
 14.7 
 
 6-3 
 
 76 
 
 70. o 
 
 29.7 
 
 36 
 
 125.2 
 
 53- ! 
 
 96 
 
 1 80. 4 
 
 76.6 
 
 56 
 
 235-6 
 
 IOO. O 
 
 17 
 
 I S .6 
 
 6.6 
 
 77 
 
 70.9 
 
 30.1 
 
 37 
 
 126. 1 
 
 53-5 
 
 97 
 
 181.3 
 
 77.0 
 
 57 
 
 236. 6 
 
 100.4 
 
 IS 
 
 16. 6 
 
 7.0 
 
 78 
 
 71.8 
 
 3-5 
 
 38 
 
 127.0 
 
 53-9 
 
 98 
 
 182.3 
 
 77-4 
 
 58 
 
 237-5 
 
 100.8 
 
 9 
 
 '7-5 
 
 7-4 
 
 79 
 
 72.7 
 
 30.9 
 
 39 
 
 128.0 
 
 54-3 
 
 99 
 
 183.2 
 
 77-8 
 
 59 
 
 238-4 
 
 IOI.2 
 
 20 
 
 18.4 
 
 7.8 
 
 So 
 
 73-6 
 
 3i-3 
 
 40 
 
 128.9 
 
 54-7 
 
 200 
 
 184. i 
 
 78.1 
 
 60 
 
 239-3 
 
 101.6 
 
 21 
 
 19-3 
 
 8.2 
 
 81 
 
 74-6 
 
 31.0 
 
 141 
 
 129.8 
 
 55-' 
 
 201 
 
 185.0 
 
 78.5 
 
 261 
 
 240.3 
 
 102.0 
 
 22 
 
 20.3 
 
 8.6 
 
 8? 
 
 75-5 
 
 32.0 
 
 42 
 
 '3- 7 
 
 55-5 
 
 O2 
 
 185.9 
 
 78.9 
 
 62 
 
 241.2 
 
 102.4 
 
 23 
 
 21.2 
 
 9.0 
 
 f 3 
 
 76.4 
 
 32.4 
 
 43 
 
 131.6 
 
 55-9 
 
 03 
 
 186.9 
 
 79-3 
 
 63 
 
 242. i 
 
 102.8 
 
 24 
 
 22. I 
 
 9-4 
 
 84 
 
 77-3 
 
 32.8 
 
 44 
 
 132.6 
 
 56.3 
 
 04 
 
 187.8 
 
 79-7 
 
 64 
 
 243.0 
 
 103.2 
 
 25 
 
 23. o 
 
 9.8 
 
 85 
 
 78.2 
 
 33-2 
 
 45 
 
 '33-5 
 
 56.7 
 
 5 
 
 188.7 
 
 80. i 
 
 65 
 
 243-9 
 
 103-5 
 
 26 
 
 23-9 
 
 10.2 
 
 86 
 
 79-2 
 
 33-6 
 
 46 
 
 134-4 
 
 57.0 
 
 06 
 
 189.6 
 
 80.5 
 
 66 
 
 244.9 
 
 103.9 
 
 27 
 
 24-9 
 
 IO. S 
 
 87 
 
 80. i 
 
 34-0 
 
 47 
 
 '35-3 
 
 57-4 
 
 07 
 
 190.5 
 
 80.0 
 
 67 
 
 245.8 
 
 i4-3 
 
 28 
 
 2 5 .8 
 
 10. 9 
 
 88 
 
 81.0 
 
 34-4 
 
 48 
 
 136. 2 
 
 57-8 
 
 08 
 
 191.5 
 
 81.3 
 
 68 
 
 246.7 
 
 104.7 
 
 29 
 
 26. 7 
 
 "3 
 
 89 
 
 Si. 9 
 
 34-8 
 
 49 
 
 137-2 
 
 58.2 
 
 9 
 
 192.4 
 
 81.7 
 
 69 
 
 247. 6 
 
 105. i 
 
 3 
 
 27.6 
 
 11. 7 
 
 90 
 
 82.8 
 
 35-2 
 
 5 
 
 138. I 
 
 58.6 
 
 IO 
 
 J 93-3 
 
 82.1 
 
 70 
 
 248.5 
 
 I0 5-5 
 
 3' 
 
 28.5 
 
 12. I 
 
 9' 
 
 83.8 
 
 35-6 
 
 151 
 
 139.0 
 
 59.0 
 
 211 
 
 194.2 
 
 82.4 
 
 271 
 
 249-5 
 
 105.9 
 
 3 2 
 
 29-5 
 
 12-5 
 
 92 
 
 84.7 
 
 35-9 
 
 52 
 
 '39-9 
 
 59-4 
 
 12 
 
 195-1 
 
 82.8 
 
 72 
 
 250.4 
 
 106. 3 
 
 33 
 
 3-4 
 
 12. 9 
 
 93 
 
 85.6 
 
 36.3 
 
 53 
 
 140.8 
 
 59.8 
 
 '3 
 
 196. i 
 
 83-2 
 
 73 
 
 25L3 
 
 106. 7 
 
 34 
 
 31-3 
 
 13-3 
 
 94 
 
 86.5 
 
 36.7 
 
 54 
 
 141.8 
 
 60. 2 
 
 U 
 
 197.0 
 
 83.6 
 
 74 
 
 252. 2 
 
 107. i 
 
 35 
 
 32-2 
 
 13-7 
 
 95 
 
 87.4 
 
 37- i 
 
 55 
 
 142.7 
 
 60.6 
 
 15 
 
 197-9 
 
 84.0 
 
 75 
 
 253. ! 
 
 107.5 
 
 36 
 
 33-1 
 
 14.1 
 
 96 
 
 88.4 
 
 37-5 
 
 56 
 
 143-6 
 
 61.0 
 
 16 
 
 198.8 
 
 84.4 
 
 76 
 
 254.1 
 
 107.8 
 
 37 
 
 34.1 
 
 14.5 
 
 97 
 
 89-3 
 
 37-9 
 
 57 
 
 144- 5 
 
 61.3 
 
 '7 
 
 199-7 
 
 84.8 
 
 77 
 
 255.0 
 
 1 08. 2 
 
 38 
 
 35-o 
 
 1.4-8 
 
 9 
 
 90.2 
 
 38.3 
 
 58 
 
 145-4 
 
 61.7 
 
 18 
 
 200. 7 
 
 85.2 
 
 78 
 
 255-9 
 
 108. 6 
 
 39 
 
 35-9 
 
 15.2 
 
 99 
 
 91.1 
 
 38-7 
 
 59 
 
 146.4 
 
 62. i 
 
 9 
 
 201. 6 
 
 85.6 
 
 79 
 
 256.8 
 
 109. o 
 
 40 
 
 36.8 
 
 i.S.6 
 
 100 
 
 92.1 
 
 39-i 
 
 60 
 
 147- 3 
 
 62.5 
 
 20 
 
 202. 5 
 
 86.0 
 
 80 
 
 257-7 
 
 109.4 
 
 4i 
 
 37-7 
 
 16. o' 
 
 101 
 
 93- 
 
 39-5 
 
 161 
 
 148. 2 
 
 62. 9 
 
 221 
 
 203.4 
 
 86.4 
 
 281 
 
 258. 7 
 
 109. 8 
 
 42 
 
 38.7 
 
 16. 4 
 
 02 
 
 93-9 
 
 39-9 
 
 62 
 
 149. 1 
 
 63-3 
 
 22 
 
 204.4 
 
 86.7 
 
 82 
 
 259-6 
 
 110. 2 
 
 43 
 
 39-6 
 
 16. 8 
 
 3 
 
 94.8 
 
 40. 2 
 
 63 
 
 150. o 
 
 63.7 
 
 23 
 
 205.3 
 
 87., 
 
 83 
 
 260. 5 
 
 no. 6 
 
 44 
 
 40.5 
 
 17.2 
 
 04 
 
 95-7 
 
 40. 6 
 
 64 
 
 151. o 
 
 64.1 
 
 24 
 
 206. 2 
 
 87.5 
 
 84 
 
 261.4 
 
 III. 
 
 45 
 
 41-4 
 
 17.6 
 
 5 
 
 96.7 
 
 41.0 
 
 65 
 
 151.9 
 
 64.5 
 
 25 
 
 207. I 
 
 87.9 
 
 85 
 
 262. 3 
 
 111.4 
 
 46 
 
 42.3 
 
 18. o 
 
 06 
 
 97-6 
 
 41.4 
 
 66 
 
 152.8 
 
 64.9 
 
 26 
 
 208. o 
 
 88.3 
 
 86 
 
 263-3 
 
 in. 7 
 
 47 
 
 43-3 
 
 18. 4 
 
 07 
 
 98.5 
 
 41.8 
 
 6J- 
 
 153-7 
 
 65.3 
 
 27 
 
 209. o 
 
 88.7 
 
 87 
 
 264.2 
 
 112. I 
 
 48 
 
 44-2 
 
 18.8 
 
 oS 
 
 99-4 
 
 42.2 
 
 68 
 
 154.6 
 
 65.6 
 
 28 
 
 209.9 
 
 89.1 
 
 8S 
 
 265. i 
 
 112.5 
 
 49 
 
 45.' 
 
 19.1 
 
 09 
 
 loo. 3 
 
 42.6 
 
 69 
 
 MS- 6 
 
 66.0 
 
 29 
 
 210.8 
 
 89.5 
 
 89 
 
 266. o 
 
 112. 9 
 
 5 
 
 46x1 
 
 '9-5 
 
 10 
 
 101. 3 
 
 43-o 
 
 70 
 
 I5 6 -S 
 
 66.4 
 
 3 
 
 211. 7 
 
 89.9 
 
 90 
 
 266. 9 
 
 113.3 
 
 5' 
 
 46.9 
 
 19.9 
 
 III 
 
 102. 2 
 
 43-4 
 
 171 
 
 '57-4 
 
 66.8 
 
 231 
 
 212. 6 
 
 9-3 
 
 291 
 
 267.9 
 
 "3-7 
 
 5 2 
 
 47..9 
 
 -3 
 
 12 
 
 103. I 
 
 43-8 
 
 72 
 
 158-3 
 
 67. 2 
 
 32 
 
 213.6 
 
 go. 6 
 
 92 
 
 268.8 
 
 114. i 
 
 53 
 
 48.8 
 
 o. 7 
 
 '3 
 
 104.0 
 
 44-2 
 
 73 
 
 159.2 
 
 67.6 
 
 33 
 
 214.5 
 
 91.0 
 
 93 
 
 269.7 
 
 "4-5 
 
 54 
 
 49-7 
 
 i. I 
 
 '4 
 
 104.9 
 
 44. 5 
 
 74 
 
 1 60. 2 
 
 68.0 
 
 34 
 
 215.4 
 
 91.4 
 
 94 
 
 270.6 
 
 114.9 
 
 55 
 
 50. 6 
 
 '5 
 
 '5 
 
 >os- 9 
 
 44-9 
 
 75 
 
 161. i 
 
 68.4 
 
 35 
 
 2 1 6. 3 
 
 91.8 
 
 95 
 
 271.5 
 
 iiS-3 
 
 5 6 
 
 51-5 
 
 1-9 
 
 10 
 
 1 06. 8 
 
 45-3 
 
 76 
 
 162. o 
 
 68.8 
 
 3S 
 
 217. 2 
 
 92.2 
 
 96 
 
 272.5 
 
 115.7 
 
 SZ 
 
 5 a -S 
 
 2 -3 
 
 17 
 
 107.7 
 
 45-7 
 
 77 
 
 162.9 
 
 69. 2 
 
 37 
 
 218.2 
 
 92.6 
 
 97 
 
 273-4 
 
 no. o 
 
 58 
 
 53-4 
 
 2-7 
 
 .18 
 
 108. 6 
 
 46. I 
 
 78 
 
 163.8 
 
 69.6 
 
 38 
 
 219. I 
 
 93-o 
 
 98 
 
 274-3 
 
 116.4 
 
 59 
 
 54-3 
 
 3- I 
 
 9 
 
 i9-5 
 
 46.5 
 
 79 
 
 164.8 
 
 69.9 
 
 39 
 
 220. O 
 
 93-4 
 
 99 
 
 275.2 
 
 116.8 
 
 60 
 
 55- * 
 
 3-4 
 
 20 
 
 no. 5 
 
 46.9 
 
 86 
 
 165.7 
 
 70.3 
 
 40 
 
 220.9 
 
 93-8 
 
 300 
 
 276.2 
 
 117.2 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lt. 
 
 [For 67 Degrees. 
 
 130 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 24. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep 
 
 I 
 
 0.9 
 
 0.4 
 
 61 
 
 55-7 
 
 24.8 
 
 121 
 
 no. 5 
 
 49-2 
 
 181 
 
 165.4 
 
 73-6 
 
 241 
 
 220. 2 
 
 98. 
 
 2 
 
 1.8 
 
 0.8 
 
 O2 
 
 56.6 
 
 25.2 
 
 22 
 
 in. 5 
 
 49- 6 
 
 82 
 
 1 66. 3 
 
 74-o 
 
 42 
 
 221. I 
 
 98.4 
 
 3 
 
 2-7 
 
 I. 2 
 
 63 
 
 57-6 
 
 25. 6 
 
 23 
 
 112.4 
 
 50. o 
 
 83 
 
 167. 2 
 
 74-4 
 
 43 
 
 222. O 
 
 98.8 
 
 4 
 
 3- 7 
 
 1.6 
 
 64 
 
 58.5 
 
 26. o 
 
 24 
 
 "3-3 
 
 50.4 
 
 84 
 
 1 68. I 
 
 74-8 
 
 44 
 
 222. 9 
 
 99-2 
 
 6 
 
 4-6 
 5- 5 
 
 2. O 
 2-4 
 
 
 
 59-4 
 60.3 
 
 26.4 
 26.8 
 
 26 
 
 II4- 2 
 115. I 
 
 50.8 
 51.2 
 
 85 
 86 
 
 169. o 
 169. 9 
 
 75-2 
 75-7 
 
 46 
 
 223.8 
 
 224. 7 
 
 99- 7 
 
 IOO. I 
 
 7 
 
 6.4 
 
 2.8 
 
 67 
 
 61.2 
 
 2 7-3 
 
 27 
 
 lib. o 
 
 51-7 
 
 87 
 
 170. 8 
 
 fg.1 
 
 47 
 
 225.6 
 
 loo. 5 
 
 8 
 
 7-3 
 
 3-3 
 
 68 
 
 62.1 
 
 27-7 
 
 28 
 
 116. 9 
 
 52.1 
 
 88 
 
 171.7 
 
 76-5 
 
 48 
 
 226. 6 
 
 loo. 9 
 
 9 
 
 8.2 
 
 3-7 
 
 69 
 
 63. o 
 
 28. i 
 
 2 9 
 
 117.8 
 
 52-5 
 
 89 
 
 172.7 
 
 76.9 
 
 49 
 
 227.5 
 
 101. 3 
 
 10 
 
 9- 
 
 4-1 
 
 70 
 
 6 3- 9 
 
 28.5 
 
 30 
 
 118. 8 
 
 52.9 
 
 90 
 
 173-6 
 
 77-3 
 
 50 
 
 228.4 
 
 101. 7 
 
 ii 
 
 10. O 
 
 4-5 
 
 7' 
 
 64.9 
 
 28.9 
 
 '3' 
 
 119.7 
 
 53-3 
 
 191 
 
 174-5 
 
 77-7 
 
 251 
 
 229. 3 
 
 102. I 
 
 12 
 
 II. O 
 
 4-9 
 
 72 
 
 65.8 
 
 29-3 
 
 32 
 
 120. 6 
 
 53-7 
 
 92 
 
 175-4 
 
 78.1 
 
 52 
 
 330. 2 
 
 102. 5 
 
 13 
 
 II. Q 
 
 5-3 
 
 73 
 
 66. 7 
 
 29-7 
 
 33 
 
 121.5 
 
 54.1 
 
 93 
 
 176-3 
 
 78.5 
 
 53 
 
 23I.I 
 
 102. 9 
 
 H 
 
 12.8 
 
 5-7 
 
 74 
 
 67.6 
 
 30.1 
 
 34 
 
 122. 4 
 
 54-5 
 
 94 
 
 177.2 
 
 78.9 
 
 54 
 
 232. o 
 
 I0 3- 3 
 
 15 
 
 13-7 
 
 6. I 
 
 75 
 
 68.5 
 
 30.5 
 
 35 
 
 123-3 
 
 54-9 
 
 95 
 
 178. i 
 
 79-3 
 
 55 
 
 233-0 
 
 i3- 7 
 
 to 
 
 14-6 
 
 6-5 
 
 76 
 
 69.4 
 
 30-9 
 
 3 6 
 
 124. 2 
 
 55-3 
 
 96 
 
 179. I 
 
 79-7 
 
 56 
 
 233-9 
 
 104. i 
 
 17 
 
 "5-5 
 
 6.9 
 
 77 
 
 70-3 
 
 3 r -3 
 
 37 
 
 125. 2 
 
 55-7 
 
 97 
 
 iSo. o 
 
 80. i 
 
 57 
 
 234-8 
 
 104.5 
 
 18 
 
 16.4 
 
 7-3 
 
 78 
 
 7'- 3 
 
 31-7 
 
 38 
 
 126. I 
 
 56.1 
 
 98 
 
 180.9 
 
 80. 5 
 
 58 
 
 235-7 
 
 104.9 
 
 rg 
 
 17.4 
 
 7-7 
 
 79 
 
 72.2 
 
 32.1 
 
 39 
 
 127. o 
 
 56.5 
 
 99 
 
 181.8 
 
 80. 9 
 
 59 
 
 236. 6 
 
 105-3 
 
 20 
 
 18. 3 
 
 8.1 
 
 So 
 
 73- ' 
 
 32-5 
 
 40 
 
 127.9 
 
 56.9 
 
 200 
 
 182. 7 
 
 Si- 3 
 
 60 
 
 237.5 
 
 105.8 
 
 21 
 
 19.2 
 
 8-5 
 
 81 
 
 74-o 
 
 3 2 -9 
 
 141 
 
 128.8 
 
 57-3 
 
 201 
 
 183.6 
 
 81.8 
 
 261 
 
 238-4 
 
 106. 2 
 
 22 
 
 20. I 
 
 8.9 
 
 82 
 
 74-9 
 
 33-4 
 
 42 
 
 129.7 
 
 57.8 
 
 02 
 
 184.5 
 
 82.2 
 
 62 
 
 239-3 
 
 106. 6 
 
 23 
 24 
 
 21.0 
 21.9 
 
 9-4 
 9-8 
 
 f 3 
 84 
 
 *! 
 
 33-8 
 34-2 
 
 43 
 44 
 
 130.6 
 I3I.6 
 
 56.2 
 58.6 
 
 3 
 
 04 
 
 185.4 
 186.4 
 
 82.6 
 83.0 
 
 63 
 64 
 
 240.3 
 
 241. 2 
 
 107.0 
 
 107-4 
 
 25 
 26 
 
 22.8 
 23.8 
 
 IO. 2 
 
 10. 6 
 
 85 
 86 
 
 %i 
 
 34-6 
 35-o 
 
 45 
 46 
 
 I32-5 
 133-4 
 
 59-o 
 59-4 
 
 05 
 06 
 
 187-3 
 188.2 
 
 8 3-4 
 83.8 
 
 8 
 
 242. I 
 243-0 
 
 107.8 
 108.2 
 
 27 
 
 24-7 
 
 II. O 
 
 87 
 
 79-5 
 
 35-4 
 
 47 
 
 '34-3 
 
 
 07 
 
 189. i 
 
 84. 2 
 
 67 
 
 243-9 
 
 108.6 
 
 28 
 
 25.6 
 
 11.4 
 
 88 
 
 80.4 
 
 35-8 
 
 48 
 
 '35-2 
 
 60. 2 
 
 08 
 
 190. o 
 
 84.6 
 
 68 
 
 244.8 
 
 109. o 
 
 29 
 
 26.5 
 
 11. 8 
 
 89 
 
 81.3 
 
 36. 2 
 
 49 
 
 136. I 
 
 60.6 
 
 09 
 
 iqo. 9 
 
 85.0 
 
 69 
 
 245-7 
 
 109. 4 
 
 3 
 
 27.4 
 
 12. 2 
 
 9 
 
 82. 2 
 
 36.6 
 
 So 
 
 137-0 
 
 61. o 
 
 10 
 
 191.8 
 
 85.4 
 
 70 
 
 246.7 
 
 109. 8 
 
 3 1 
 
 28.3 
 
 12.6 
 
 QI 
 
 83.1 
 
 37-o 
 
 151 
 
 137-9 
 
 61.4 
 
 211 
 
 192.8 
 
 85.8 
 
 271 
 
 247.6 
 
 no. 2 
 
 3* 
 
 29. 2 
 
 13.0 
 
 92 
 
 84.0 
 
 37-4 
 
 52 
 
 138.9 
 
 61.8 
 
 12 
 
 193.7 
 
 86.2 
 
 72 
 
 248.5 
 
 1 10. 6 
 
 33 
 
 3 O.I 
 
 13-4 
 
 93 
 
 85.0 
 
 37-8 
 
 53 
 
 139-8 
 
 62. 2 
 
 13 
 
 194.6 
 
 86.6 
 
 73 
 
 249. 4 
 
 III. O 
 
 34 
 
 
 13-8 
 
 94 
 
 85.9 
 
 38.2 
 
 54 
 
 140- 7 
 
 62.6 
 
 14 
 
 195-5 
 
 87.0 
 
 74 
 
 250-3 
 
 in. 4 
 
 35 
 
 32.0 
 
 14.2 
 
 95 
 
 86.8 
 
 38.6 
 
 55 
 
 141. 6 
 
 63. o 
 
 IS 
 
 196.4 
 
 87.4 
 
 75 
 
 251. 2 
 
 in. 9 
 
 36 
 
 32-9 
 
 14. 6 
 
 96 
 
 87.7 
 
 39-o 
 
 56 
 
 142.5 
 
 63-5 
 
 16 
 
 197-3 
 
 87.9 
 
 76 
 
 252. I 
 
 112.3 
 
 37 
 
 33-8 
 
 15.0 
 
 97 
 
 88.6 
 
 39-5, 
 
 57 
 
 143-4 
 
 63. 9 
 
 17 
 
 198.2 
 
 88.3 
 
 77 
 
 253-1 
 
 112.7 
 
 38 
 
 34-7 
 
 
 98 
 
 89-5 
 
 39-9 
 
 58 
 
 144-3 
 
 64-3 
 
 18 
 
 199.2 
 
 GS-7 
 
 78 
 
 254.0 
 
 113-1 
 
 39 
 
 35- 6 
 
 15.9 
 
 99 
 
 90.4 
 
 40-3 
 
 59 
 
 145-3 
 
 64. 7 
 
 19 
 
 200. I 
 
 89. i 
 
 79 
 
 254.9 
 
 "3-5 
 
 40 
 
 36- 5 
 
 16.3 
 
 IOO 
 
 91.4 
 
 40. 7 
 
 60 
 
 146. 2 
 
 65.1 
 
 20 
 
 2OI. O 
 
 89-5 
 
 80 
 
 255.8 
 
 3.9 
 
 41 
 
 37-5 
 
 16.7 
 
 IOI 
 
 9 2 -3 
 
 41.1 
 
 161 
 
 147. I 
 
 65.5 
 
 221 
 
 201. 9 
 
 89.9 
 
 281 
 
 256.7 
 
 "4-3 
 
 42 
 
 3 s - 4 
 
 17. i 
 
 02 
 
 93-2 
 
 41.5 
 
 62 
 
 148.0 
 
 65.9 
 
 22 
 
 202. 8 
 
 90.3 
 
 82 
 
 257.6 
 
 114.7 
 
 43 
 
 39-3 
 
 "7-5 
 
 03 
 
 94- I 
 
 41.9 
 
 63 
 
 148.9 
 
 66.3 
 
 23 
 
 203.7 
 
 90. 7 
 
 83 
 
 258.5 
 
 115.1 
 
 44 
 
 40. 2 
 
 "7-9 
 
 04 
 
 95-o 
 
 42-3 
 
 64 
 
 M9- 8 
 
 66. 7 
 
 24 
 
 204. 6 
 
 91. i 
 
 84 
 
 259.4 
 
 "5-5 
 
 45 
 
 41. I 
 
 18.3 
 
 05 
 
 95-9 
 
 42- 7 
 
 65 
 
 150.7 
 
 67.1 
 
 25 
 
 205.5 
 
 91.5 
 
 85 
 
 260. 4 
 
 115.9 
 
 46 
 
 42. o 
 
 18.7 
 
 06 
 
 96.8 
 
 43-' 
 
 66 
 
 151. 6 
 
 67-5 
 
 26 
 
 206. 5 
 
 91.9 
 
 86 
 
 261. 3 
 
 116. 3 
 
 47 
 
 42.9 
 
 19. i 
 
 7 
 
 97-7 
 
 43-5 
 
 67 
 
 152. 6 
 
 67.9 
 
 27 
 
 207.4 
 
 92-3 
 
 87 
 
 262. 2 
 
 116. 7 
 
 48 
 
 43-9 
 
 19.5 
 
 08 
 
 98.7 
 
 43-9 
 
 68 
 
 153-5 
 
 68.3 
 
 28 
 
 208.3 
 
 92-7 
 
 88 
 
 263. i 
 
 117.1 
 
 49 
 
 44-8 
 
 19.9 
 
 09 
 
 99.6 
 
 44-3 
 
 69 
 
 154-4 
 
 68.7 
 
 29 
 
 209. 2 
 
 93-1 
 
 89 
 
 264. o 
 
 117.5 
 
 5 
 
 45-7 
 
 20. 3 
 
 10 
 
 loo. 5 
 
 44- 7 
 
 70 
 
 155-3 
 
 69. i 
 
 3 
 
 210. I 
 
 93-5 
 
 90 
 
 264.9 
 
 118.0 
 
 51 
 
 46.6 
 
 20. 7 
 
 III 
 
 101. 4 
 
 45. i 
 
 171 
 
 156. 2 
 
 69. 6 
 
 231 
 
 211. O 
 
 94.0 
 
 291 
 
 265.8 
 
 118.4 
 
 5 2 
 
 47-5 
 
 21. 2 
 
 12 
 
 1 02. 3 
 
 45-6 
 
 72 
 
 I57.I 
 
 70. o 
 
 S 2 
 
 211. 9 
 
 94-4 
 
 92 
 
 266.8 
 
 118. 8 
 
 53 
 
 48-4 
 
 21.6 
 
 '3 
 
 103. 2 
 
 46. o 
 
 73 
 
 158.0 
 
 70.4 
 
 33 
 
 212. 9 
 
 94-8 
 
 93 
 
 267.7 
 
 119. 2 
 
 54 
 
 49-3 
 
 22. O 
 
 
 104. i 
 
 46.4 
 
 74 
 
 159.0 
 
 70.8 
 
 34 
 
 213.8 
 
 95-2 
 
 94 
 
 268.6 
 
 119. 6 
 
 55 
 
 50. 2 
 
 22.4 
 
 15 
 
 105. i 
 
 46.8 
 
 75 
 
 159.9 
 
 71.2 
 
 35 
 
 214. 7 
 
 95.6 
 
 95 
 
 269.5 
 
 1 2O. O 
 
 56 
 
 51.2 
 
 22.8 
 
 16 
 
 1 06. o 
 
 47-2 
 
 76 
 
 160.8 
 
 71.6 
 
 36 
 
 215. 6 
 
 96. o 
 
 96 
 
 270.4 
 
 1 20. 4 
 
 57 
 
 52.1 
 
 23.2 
 
 17 
 
 1 06. 9 
 
 47-6 
 
 77 
 
 161. 7 
 
 72. o 
 
 37 
 
 216. 5 
 
 96.4 
 
 97 
 
 271.3 
 
 120.8 
 
 58 
 
 
 23. 6 
 
 18 
 
 107.8 
 
 48.0 
 
 78 
 
 162. 6 
 
 72.4 
 
 38 
 
 217.4 
 
 96.8 
 
 98 
 
 272. 2 
 
 121. 2 
 
 59 
 
 53-9 
 
 24. o 
 
 19 
 
 loS. 7 
 
 48.4 
 
 79 
 
 163-5 
 
 72.8 
 
 39 
 
 218.3 
 
 97-2 
 
 99 
 
 273-2 
 
 121. 6 
 
 60 
 
 54-8 
 
 24.4 
 
 20 
 
 109. 6 
 
 48.8 
 
 So 
 
 164.4 
 
 73-2 
 
 40 
 
 219-3 
 
 97.6 
 
 300 
 
 274- t 
 
 122.0 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 66 Degrees. 
 
 137 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 25. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.9 
 
 0.4 
 
 61 
 
 55-3 
 
 2 5 .8 
 
 121 
 
 109. 7 
 
 SI-' 
 
 181 
 
 164.0 
 
 76-5 
 
 241 
 
 218.4 
 
 IQJ. 9 
 
 2 
 
 1.8 
 
 0.8 
 
 62 
 
 56.2 
 
 26. 2 
 
 22 
 
 no. 6 
 
 5'- 6 
 
 82 
 
 164.9 
 
 76.9 
 
 42 
 
 219.3 
 
 102.3 
 
 3 
 
 2-7 
 
 '3 
 
 63 
 
 57.i 
 
 26.6 
 
 23 
 
 in. 5 
 
 52.0 
 
 83 
 
 165.9 
 
 77-3 
 
 43 
 
 220. 2 
 
 102. 1 
 
 4 
 
 3-6 
 
 
 64 
 
 58.0 
 
 27.0 
 
 24 
 
 112. 4 
 
 52.4 
 
 84 
 
 166. 8 
 
 77-8 
 
 44 
 
 221. I 
 
 103. i 
 
 5 
 
 4-5 
 
 2. 1 
 
 65 
 
 58-9 
 
 27-5 
 
 2 5 
 
 "3-3 
 
 52.8 
 
 85 
 
 167.7 
 
 78.2 
 
 45 
 
 222. O 
 
 103-5 
 
 6 
 
 5-4 
 
 2-5 
 
 66 
 
 59-8 
 
 27-9 
 
 26 
 
 114. 2 
 
 53-2 
 
 26 
 
 168.6 
 
 78.6 
 
 46 
 
 223.0 
 
 104.0 
 
 7 
 
 6-3 
 
 3- 
 
 67 
 
 60.7 
 
 4 3 
 
 27 
 
 115. I 
 
 53-7 
 
 87 
 
 169-5 
 
 79-0 
 
 47 
 
 223. 9 
 
 104.4 
 
 8 
 
 7-3 
 
 3-4 
 
 68 
 
 61.6 
 
 28.7 
 
 28 
 
 1 16. 
 
 54-1 
 
 88 
 
 170.4 
 
 79-5 
 
 48 
 
 224. 8 
 
 104.8 
 
 9 
 
 8. 2 
 
 3-8 
 
 69 
 
 62.5 
 
 29. 2 
 
 29 
 
 1 16. 9 
 
 54-5 
 
 89 
 
 I7I-3 
 
 79-9 
 
 49 
 
 225.7 
 
 105. 2 
 
 10 
 
 9- i 
 
 4-2 
 
 7 
 
 63-4 
 
 29. 6 
 
 3 
 
 117.8 
 
 54-9 
 
 90 
 
 172.2 
 
 So. 3 
 
 5 
 
 226.6 
 
 105. 7 
 
 II 
 
 IO. O 
 
 4.6 
 
 7' 
 
 64. 3 
 
 30. o. 
 
 '3' 
 
 118. 7 
 
 55-4 
 
 191 
 
 1 73- i 
 
 80.7 
 
 251 
 
 227.5 
 
 1 06. i 
 
 12 
 
 10.9 
 
 5. I 
 
 72 
 
 65.3 
 
 30.4 
 
 3 2 
 
 119. 6 
 
 55-8 
 
 92 
 
 174.0 
 
 81. i 
 
 52 
 
 228.4 
 
 1 06. 5 
 
 '3 
 
 n. 8 
 
 5-5 
 
 73 
 
 66.2 
 
 3-9 
 
 33 
 
 120. 5 
 
 55.2 
 
 93 
 
 174.9 
 
 81.6 
 
 53 
 
 229.3 
 
 106. 9 
 
 H 
 
 12.7 
 
 5-9 
 
 74 
 
 67.1 
 
 3'-3 
 
 34 
 
 121.4 
 
 56.6 
 
 94 
 
 175.8 
 
 82.0 
 
 54 
 
 230.2 
 
 107-3 
 
 IS 
 
 13.6 
 
 6.3 
 
 75 
 
 68.0 
 
 3'- 7 
 
 35 
 
 122.4 
 
 57-1 
 
 95 
 
 176.7 
 
 82.4 
 
 55 
 
 231. I 
 
 107. 8 
 
 16 
 
 14.5 
 
 6.8 
 
 76 
 
 68.9 
 
 32.1 
 
 36 
 
 123.3 
 
 57-5 
 
 96 
 
 177.6 
 
 82.8 
 
 56 
 
 232. o 
 
 108.2 
 
 17 
 
 '5-4 
 
 7-2 
 
 77 
 
 69.8 
 
 32-5 
 
 37 
 
 124. 2 
 
 57-9 
 
 97 
 
 '7S-5 
 
 83-3 
 
 57 
 
 232.9 
 
 108.6 
 
 18 
 
 16.3 
 
 7.6 
 
 78 
 
 70.7 
 
 33- 
 
 38 
 
 125. I 
 
 58.3 
 
 98 
 
 179.4 
 
 83-7 
 
 58 
 
 233-8 
 
 109. o 
 
 19 
 
 17.2 
 
 8.0 
 
 79 
 
 71.6 
 
 33-4 
 
 39 
 
 126. o 
 
 58.7 
 
 99 
 
 180.4 
 
 84.1 
 
 59 
 
 234- 7 
 
 109.5 
 
 20 
 
 18. i 
 
 8- 5 
 
 80 
 
 72.5 
 
 33-8 
 
 40 
 
 126.9 
 
 59-2 
 
 200 
 
 181.3 
 
 84- S 
 
 Bo 
 
 235.6 
 
 109.9 
 
 21 
 
 19. o 
 
 8.9 
 
 Si 
 
 73-4 
 
 34-2 
 
 141 
 
 127.8 
 
 59-6 
 
 201 
 
 182.2 
 
 84.9 
 
 261 
 
 236-5 
 
 110.3 
 
 22 
 
 19.9 
 
 9-3 
 
 82 
 
 74-3 
 
 34-7 
 
 42 
 
 1 2&. 7 
 
 60. o 
 
 O2 
 
 183. i 
 
 5-4 
 
 62 
 
 237-5 
 
 no. 7 
 
 23 
 
 20.8 
 
 9-7 
 
 83 
 
 75-2 
 
 35-1 
 
 43 
 
 129. 6 
 
 60. 4 
 
 3 
 
 184.0 
 
 85.8 
 
 63 
 
 238-4 
 
 in. i 
 
 24 
 
 21.8 
 
 10. I 
 
 84 
 
 76.1 
 
 35-5 
 
 44 
 
 130-5 
 
 60. 9 
 
 04 
 
 184.9 
 
 86.2 
 
 64 
 
 239-3 
 
 in. 6 
 
 25 
 
 22.7 
 
 10. 6 
 
 85 
 
 77-0 
 
 35-9 
 
 45 
 
 
 61.3 
 
 5 
 
 185.8 
 
 86.6 
 
 65 
 
 240. 2 
 
 112. O 
 
 26 
 
 23.6 
 
 II. O 
 
 86 
 
 77-9 
 
 36.3 
 
 46 
 
 I 3 2 -3 
 
 61.7 
 
 06 
 
 186.7 
 
 87.1 
 
 66 
 
 241. I 
 
 112.4 
 
 27 
 
 24.5 
 
 II. 4 
 
 87 
 
 78.8 
 
 36.8 
 
 47 
 
 133-2 
 
 62.1 
 
 7 
 
 187.6 
 
 87-5 
 
 67 
 
 242. o 
 
 II2.8 
 
 28 
 
 25.4 
 
 n. 8 
 
 88 
 
 79.8 
 
 37-2 
 
 48 
 
 I34-I 
 
 62.5 
 
 08 
 
 1 88. 5 
 
 87-9 
 
 68 
 
 242-9 
 
 "3.3 
 
 2 9 
 
 26.3 
 
 12.3 
 
 89 
 
 80.7 
 
 37-6 
 
 49 
 
 i35-o 
 
 63. o 
 
 09 
 
 189.4 
 
 88.3 
 
 69 
 
 243-8 
 
 "3-7 
 
 30 
 
 27.2 
 
 12.7 
 
 9 
 
 81.6 
 
 38.0 
 
 5 
 
 '35-9 
 
 6 3-4 
 
 10 
 
 190. 3 
 
 88. 7 
 
 70 
 
 244- 7 
 
 114.1 
 
 31 
 
 28.1 
 
 13. i 
 
 91 
 
 82.5 
 
 38.5 
 
 '5 1 
 
 136.9 
 
 63.8 
 
 211 
 
 191. 2 
 
 89.2 
 
 271 
 
 245-6 
 
 JI4-5 
 
 32 
 
 29. o 
 
 13-5 
 
 92 
 
 
 38-9 
 
 52 
 
 137-8 
 
 64. 2 
 
 12 
 
 192. I 
 
 89,6 
 
 72 
 
 246- 5 
 
 115. o 
 
 33 
 
 29.9 
 
 I3.9 
 
 93 
 
 84' 3 
 
 39-3 
 
 53 
 
 138. 7 
 
 64. 7 
 
 '3 
 
 193.0 
 
 90. o 
 
 73 
 
 247.4 
 
 115.4 
 
 34 
 
 3". 8 
 
 14.4 
 
 94 
 
 85.2 
 
 .39-7 
 
 54 
 
 139.6 
 
 65.1 
 
 
 "93-9 
 
 90.4 
 
 74 
 
 248.3 
 
 115.8 
 
 35 
 
 3'-7 
 
 14.8 
 
 95 
 
 86. i 
 
 40. i 
 
 55 
 
 140.5 
 
 65.5 
 
 15 
 
 194. 9 
 
 90-9 
 
 75 
 
 249.2 
 
 116. 2 
 
 36 
 
 32. 6 
 
 15.2 
 
 96 
 
 87.0 
 
 40. 6 
 
 5& 
 
 141.4 
 
 65.9 
 
 16 
 
 195.8 
 
 9'-3 
 
 76 
 
 250. i 
 
 116.6 
 
 37 
 
 33-5 
 
 15.6 
 
 97 
 
 87.9 
 
 41.0 
 
 57 
 
 142-3 
 
 66.4 
 
 '7 
 
 196- 7 
 
 91.7 
 
 77 
 
 251.0 
 
 117.1 
 
 38 
 
 34-4 
 
 16. i 
 
 98 
 
 88.8 
 
 4'-4 
 
 58 
 
 143-2 
 
 66.8 
 
 18 
 
 197.6 
 
 92.1 
 
 78 
 
 252. o 
 
 117.5 
 
 39 
 
 35-3 
 
 16.5 
 
 99 
 
 89-7 
 
 41.8 
 
 59 
 
 144. i 
 
 67.2 
 
 19 
 
 198-5 
 
 92. 6 
 
 79 
 
 252. 9 
 
 117.9 
 
 40 
 
 36-3 
 
 16.9 
 
 100 
 
 90. 6 
 
 42.3 
 
 60 
 
 145.0 
 
 67.6 
 
 20 
 
 199.4 
 
 93- 
 
 80. 
 
 253-8 
 
 1 18. 3 
 
 4' 
 
 37-2 
 
 '7-3 
 
 101 
 
 91.5 
 
 42-7 
 
 i&i 
 
 145.9 
 
 68.0 
 
 221 
 
 200. 3 
 
 93-4 
 
 281 
 
 254-7 
 
 118. 8 
 
 42 
 
 38.1 
 
 '7-7 
 
 02 
 
 92.4 
 
 43-1 
 
 62 
 
 146.8 
 
 6S. 5 
 
 22 
 
 201. 2 
 
 93-8 
 
 82 
 
 255-6 
 
 119.2 
 
 43 
 
 39-o 
 
 18. 2 
 
 03 
 
 93-3 
 
 43-5 
 
 63 
 
 147-7 
 
 68.9 
 
 23 
 
 202. I 
 
 94-2 
 
 83 
 
 256-5 
 
 119. 6 
 
 44 
 
 39-9 
 
 18. 6 
 
 04 
 
 94-3 
 
 44.0 
 
 64 
 
 148.6 
 
 6 9-3 
 
 2 4 
 
 203. o 
 
 94-7 
 
 84 
 
 257-4 
 
 120.0 
 
 45 
 
 40.8 
 
 19. o 
 
 05 
 
 95-2 
 
 44-4 
 
 65 
 
 149.5 
 
 69. 7 
 
 25 
 
 203. 9 
 
 95- 
 
 85 
 
 258-3 
 
 120.4 
 
 46 
 
 41.7 
 
 19.4 
 
 06 
 
 96. i 
 
 44-8 
 
 66 
 
 150.4 
 
 70.2 
 
 26 
 
 204. 8 
 
 95-5 
 
 86 
 
 259.2 
 
 1 20. 9 
 
 47 
 
 42. 6 
 
 19.9 
 
 07 
 
 97.0 
 
 45.2 
 
 67 
 
 15L4 
 
 70. 6 
 
 27 
 
 205-7 
 
 95-9 
 
 87 
 
 260. i 
 
 121.3 
 
 48 
 
 43-5 
 
 20. 3 
 
 08 
 
 97-9 
 
 45.6 
 
 68 
 
 '52-3 
 
 71.0 
 
 28 
 
 206. 6 
 
 96.4 
 
 88 
 
 261. o 
 
 121.7 
 
 49 
 
 44-4 
 
 20. 7 
 
 09 
 
 98.8 
 
 46.1 
 
 69 
 
 153.2 
 
 71.4 
 
 29 
 
 207.5 
 
 96.8 
 
 89 
 
 261. 9 
 
 122. I 
 
 50 
 
 45-3 
 
 21. I 
 
 10 
 
 99- 7 
 
 46.5 
 
 70 
 
 K4- ' 
 
 71.8 
 
 
 208.5 
 
 97-2 
 
 90 
 
 262.8 
 
 122. 6 
 
 51 
 
 46.2 
 
 27.6 
 
 III 
 
 loo. 6 
 
 46:9 
 
 171 
 
 155-0 
 
 72.3 
 
 23' 
 
 209.4 
 
 97-6 
 
 291 
 
 263.7 
 
 123.0 
 
 52 
 
 47-' 
 
 22.0 
 
 12 
 
 101.5 
 
 47-3 
 
 72 
 
 '55-9 
 
 72.7 
 
 3 2 
 
 210. 3 
 
 98.0 
 
 92 
 
 264. 6 
 
 123-4 
 
 53 
 
 48.0 
 
 22.4 
 
 '3 
 
 102.4 
 
 47-8 
 
 73 
 
 156.8 
 
 73-' 
 
 33 
 
 211. 2 
 
 98.5 
 
 93 
 
 265. 5 
 
 123-8 
 
 54 
 
 48.9 
 
 22.8 
 
 '4 
 
 103-3 
 
 48.2 
 
 74 
 
 '57-7 
 
 73-5 
 
 34 
 
 212. I 
 
 98.9 
 
 94 
 
 266. 5 
 
 124.2 
 
 55 
 
 49-8 
 
 23.2 
 
 15 
 
 104. 2 
 
 48.6 
 
 75 
 
 158.6 
 
 74.0 
 
 35 
 
 213.0 
 
 99-3 
 
 95 
 
 267-4 
 
 124.7 
 
 56 
 
 50.8 
 
 23.7 
 
 10 
 
 IOC. I 
 
 49-0 
 
 76 
 
 '59-5 
 
 74-4 
 
 36 
 
 213. 9 
 
 99-7 
 
 96 
 
 268.3 
 
 125. I 
 
 57 
 
 5'- 7 
 
 24.1 
 
 '7 
 
 100. 
 
 49-4 
 
 n 
 
 160.4 
 
 74-8 
 
 37 
 
 214. 8 
 
 IOO. 2 
 
 97 
 
 269. 2 
 
 125. 5 
 
 58 
 
 52.6 
 
 24.5 
 
 18 
 
 1 06. 9 
 
 49.9 
 
 78 
 
 161.3 
 
 75.2 
 
 3 
 
 215. 7 
 
 100. 6 
 
 98 
 
 27O. I 
 
 125.9 
 
 11 
 
 53-5 
 54-4 
 
 2419 
 25-4 
 
 20 
 
 107. 
 
 108.8 
 
 50.3 
 50.7 
 
 79 
 
 So 
 
 162.2 
 163. i 
 
 a; 
 
 39 
 40 
 
 216.6 
 217.5 
 
 101. 
 
 101.4 
 
 99 
 
 300 
 
 271.0 
 271.9 
 
 126.4 
 126.8 
 
 Plot. 
 
 Dep. 
 
 Ut. 
 
 Diit, 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Diet. 
 
 Dep. 
 
 Lit. 
 
 [I'* or 65 Degree*. 
 
 188 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 2G. 
 
 Dist. 
 
 Lat, 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 DisL 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.9 
 
 0.4 
 
 6l 
 
 54-8 
 
 26.7 
 
 121 
 
 108. 8 
 
 53- 
 
 181 
 
 162. 7 
 
 79-3 
 
 24" 
 
 216.6 
 
 105. 6 
 
 2 
 
 1.8 
 
 0.9 
 
 62 
 
 55-7 
 
 27.2 
 
 22 
 
 109.7 
 
 53- 5 
 
 82 
 
 163.6 
 
 79.8 
 
 42 
 
 217.5 
 
 1 06. I 
 
 3 
 
 2.7 
 
 I. 3 
 
 63 
 
 56.6 
 
 27.6 
 
 23 
 
 no. 6 
 
 53-9 
 
 83 
 
 164-5 
 
 So. 2 
 
 43 
 
 218.4 
 
 1 06. 5 
 
 4 
 
 3-6 
 
 i. 8 
 
 64 
 
 57-5 
 
 28.1 
 
 24 
 
 111.5 
 
 54-4 
 
 84 
 
 165.4 
 
 So. 7 
 
 44 
 
 219-3 
 
 107. o 
 
 5 
 
 4-5 
 
 2. 2 
 
 65 
 
 58-4 
 
 28.5 
 
 25 
 
 112. 3 
 
 54-8 
 
 85 
 
 166.3 
 
 81. i 
 
 45 
 
 220. 2 
 
 107.4 
 
 6 
 
 5-4 
 
 2.6 
 
 66 
 
 59-3 
 
 28.9 
 
 26 
 
 113.2 
 
 SS- 2 
 
 86 
 
 167. 2 
 
 8.. 5 
 
 46 
 
 221. I 
 
 107.8 
 
 7 
 
 6-3 
 
 3-' 
 
 67 
 
 60. 2 
 
 29.4 
 
 27 
 
 114. i 
 
 55-7 
 
 87 
 
 1 68. i 
 
 82.0 
 
 47 
 
 222. 
 
 108.3 
 
 8 
 
 7.2 
 
 3- 5 
 
 68 
 
 61. i 
 
 29.8 
 
 28 
 
 115. o 
 
 56.1 
 
 88 
 
 169. o 
 
 82.4 
 
 48 
 
 222. 9 
 
 1 08. 7 
 
 9 
 
 8.1 
 
 3-9 
 
 69 
 
 62. o 
 
 30.2 
 
 29 
 
 115.9 
 
 56-5 
 
 89 
 
 169.9 
 
 82. 9 
 
 49 
 
 223.8 
 
 109. 2 
 
 10 
 
 9.0 
 
 4-4 
 
 7 
 
 62. 9 
 
 3-7 
 
 3 
 
 116. 8 
 
 57-o 
 
 90 
 
 170.8 
 
 83-3 
 
 5 
 
 224. 7 
 
 109. 6 
 
 11 
 
 9-9 
 
 4.8 
 
 7' 
 
 63.8 
 
 31- ' 
 
 131 
 
 117.7 
 
 57-4 
 
 IO"I 
 
 171. 7 
 
 83-7 
 
 251 
 
 225. 6 
 
 HO. O 
 
 12 
 
 10.8 
 
 5-3 
 
 72 
 
 64.7 
 
 31-6 
 
 3 2 
 
 118. 6 
 
 57-9 
 
 5 2 
 
 172. 6 
 
 84.2 
 
 52 
 
 226. 5 
 
 HO. 5 
 
 13 
 
 u. 7 
 
 5-7 
 
 73 
 
 65.6 
 
 32.0 
 
 33 
 
 119.5 
 
 58-3 
 
 93 
 
 '73-5 
 
 84.6 
 
 53 
 
 227-4 
 
 HO. 9 
 
 4 
 
 12.6 
 
 6. i 
 
 74 
 
 66. 3 
 
 32-4 
 
 34 
 
 120. 4 
 
 58.7 
 
 94 
 
 174.4 
 
 85.0 
 
 54 
 
 228.3 
 
 in. 3 
 
 15 
 
 '3-5 
 
 6.6 
 
 75 
 
 67-4 
 
 32-9 
 
 35 
 
 121.3 
 
 59-2 
 
 95 
 
 75-3 
 
 85.5 
 
 55 
 
 229. 2 
 
 in. 8 
 
 16 
 
 14.4 
 
 7.0 
 
 76 
 
 68.3 
 
 33-3 
 
 36 
 
 122. 2 
 
 59-6 
 
 96 
 
 176. 2 
 
 85.9 
 
 56 
 
 230- 1 
 
 112. 2 
 
 '7 
 
 '5-3 
 
 7-5 
 
 77 
 
 69. 2 
 
 33-8 
 
 37 
 
 I23.I 
 
 60. i 
 
 97 
 
 I77.I 
 
 86.4 
 
 57 
 
 231.0 
 
 II2.7 
 
 18 
 
 16. 2 
 
 7-9 
 
 73 
 
 70..I 
 
 34-2 
 
 38 
 
 124. o 
 
 60. 5 
 
 98 
 
 178.0 
 
 86.8 
 
 58 
 
 23'-9 
 
 II3.I 
 
 '9 
 
 "7- i 
 
 8.3 
 
 I 9 
 
 71.0 
 
 34-6 
 
 39 
 
 124.9 
 
 60. 9 
 
 99 
 
 178.9 
 
 87.2 
 
 59 
 
 232. 8 
 
 "3-5 
 
 20 
 
 18. o 
 
 8.8 
 
 So 
 
 71.9 
 
 35- i 
 
 46 
 
 125.8 
 
 61.4 
 
 200 
 
 179.8 
 
 87.7 
 
 60 
 
 233-7 
 
 114.0 
 
 21 
 
 iS. 9 
 
 9.2 
 
 81 
 
 7 2.S 
 
 35-5 
 
 141 
 
 126. 7 
 
 61.8 
 
 201 
 
 180. 7 
 
 88. i 
 
 261 
 
 234-6 
 
 114.4 
 
 22 
 
 19.8 
 
 9.6 
 
 82 
 
 73-7 
 
 35-9 
 
 42 
 
 127. 6 
 
 62.2 
 
 O2 
 
 181.6 
 
 88.6 
 
 62 
 
 235-5 
 
 114.9 
 
 23 
 
 20.7 
 
 IO. I 
 
 83 
 
 74.6 
 
 36-4 
 
 43 
 
 128.5 
 
 62.7 
 
 3 
 
 182.5 
 
 89.0 
 
 63 
 
 236.4 
 
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 24 
 
 21.6 
 
 10.5 
 
 84 
 
 75-5 
 
 36.8 
 
 44 
 
 129.4 
 
 63.1 
 
 04 
 
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 89.4 
 
 64 
 
 237-3 
 
 115.7 
 
 25 
 
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 85 
 
 76.4 
 
 37-3 
 
 45 
 
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 63.6 
 
 05 
 
 184.3 
 
 89.9 
 
 65 
 
 238.2 
 
 116. 2 
 
 26 
 
 23-4 
 
 11.4 
 
 86 
 
 77-3 
 
 37-7 
 
 46 
 
 131.2 
 
 64. o 
 
 06 
 
 185.2 
 
 9-3 
 
 66 
 
 239- ' 
 
 116.6 
 
 27 
 
 24-3 
 
 n. 8 
 
 87 
 
 78.2 
 
 38-1 
 
 47 
 
 132.1 
 
 64-4 
 
 07 
 
 1 86. i 
 
 90.7 
 
 67 
 
 240. o 
 
 117. o 
 
 28 
 
 25. 2 
 
 12.3 
 
 88 
 
 79- i 
 
 38.6 
 
 48 
 
 33- 
 
 64.9 
 
 08 
 
 1 86. 9 
 
 91.2 
 
 68 
 
 240.9 
 
 '7-5 
 
 2 9 
 
 26. I 
 
 12.7 
 
 89 
 
 So. o 
 
 39-o 
 
 49 
 
 33-9 
 
 65-3 
 
 09 
 
 187.8. 
 
 91. 6 
 
 69 
 
 241.8 
 
 117.9 
 
 3 
 
 27. o 
 
 n. 2 
 
 90 
 
 80.9 
 
 39-5 
 
 5 
 
 134.8 
 
 65.8 
 
 IO 
 
 1 88. 7 
 
 92. i 
 
 70 
 
 242.7 
 
 118.4 
 
 31 
 
 27.9 
 
 13. b 
 
 9' 
 
 81.8 
 
 39-9 
 
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 35-7 
 
 66.2 
 
 211 
 
 189.6 
 
 92.5 
 
 271 
 
 243.6 
 
 nS. 8 
 
 32 
 
 28.8 
 
 14. o 
 
 92 
 
 82.7 
 
 4-3 
 
 5 2 
 
 136.6 
 
 66.6 
 
 12 
 
 190.5 
 
 92.9 
 
 72 
 
 244.5 
 
 119. 2 
 
 33 
 
 29.7 
 
 14.5 
 
 93 
 
 83.6 
 
 40. 8 
 
 53 
 
 37-5 
 
 67.1 
 
 13 
 
 191.4 
 
 93-4 
 
 73 
 
 245-4 
 
 119.7 
 
 34 
 
 30.6 
 
 14.9 
 
 94 
 
 84.5 
 
 41.2 
 
 54 
 
 138.4 
 
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 14 
 
 192.3 
 
 93-8 
 
 74 
 
 246.3 
 
 120. I 
 
 35 
 
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 95 
 
 85.4 
 
 41.6 
 
 55 
 
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 67.9 
 
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 193.2 
 
 94-2 
 
 75 
 
 247.2 
 
 1 20. 6 
 
 36 
 
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 15.8 
 
 96 
 
 86.3 
 
 42.1 
 
 56 
 
 140. 2 
 
 68.4 
 
 16 
 
 194. i 
 
 94-7 
 
 76 
 
 248. 1 
 
 121. 
 
 37 
 
 33-3 
 
 1 6. 2 
 
 97 
 
 87.2 
 
 42.5 
 
 57 
 
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 68.8 
 
 17 
 
 195.0 
 
 95.1 
 
 77 
 
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 38 
 
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 16.7 
 
 98 
 
 88. i 
 
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 58 
 
 142. o 
 
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 18 
 
 95-9 
 
 95-6 
 
 78 
 
 249-9 
 
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 39 
 
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 17. 1 
 
 99 
 
 89.0 
 
 43-4 
 
 59 
 
 142.9 
 
 69.7 
 
 19 
 
 196. 8 
 
 96. o 
 
 79 
 
 250.8 
 
 122-3 
 
 40 
 
 36. o 
 
 '7-5 
 
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 89.9 
 
 43-8 
 
 60 
 
 I 43 .S 
 
 70. i 
 
 20 
 
 197.7 
 
 96.4 
 
 80 
 
 251.7 
 
 122.7 
 
 41 
 
 36-9 
 
 1 8. o 
 
 101 
 
 90. 8 
 
 44-3 
 
 161 
 
 144. 7 
 
 70. 6 
 
 221 
 
 198.6 
 
 96.9 
 
 281 
 
 252. 6 
 
 123.2 
 
 42 
 
 37-7 
 
 18.4 
 
 02 
 
 91-7 
 
 44- 7 
 
 62 
 
 MS' 6 
 
 71.0 
 
 22 
 
 J99-5 
 
 97-3 
 
 82 
 
 253-5 
 
 123. 6 
 
 43 
 
 38.6 
 
 18. 8 
 
 3 
 
 92. 6 
 
 45-2 
 
 63 
 
 146.5 
 
 71-5 
 
 23 
 
 200. 4 
 
 97.8 
 
 83 
 
 254.4 
 
 124. i 
 
 44 
 
 39-5 
 
 19-3 
 
 04 
 
 93-5 
 
 45-6 
 
 64 
 
 147.4 
 
 71.9 
 
 24 
 
 201. 3 
 
 98. 2 
 
 84 
 
 255-3 
 
 124-5 
 
 45 
 
 40.4 
 
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 5 
 
 94-4 
 
 46.0 
 
 65 
 
 148.3 
 
 72-3 
 
 25 
 
 202. 2 
 
 98.6 
 
 85 
 
 256. 2 
 
 124.9 
 
 46 
 
 4'-3 
 
 20. 2 
 
 06 
 
 95-3 
 
 46-5 
 
 66 
 
 149.2 
 
 72.8 
 
 26 
 
 203. I 
 
 99- i 
 
 86 
 
 257.1 
 
 125.4 
 
 47 
 
 42.2 
 
 20. 6 
 
 07 
 
 96. 2 
 
 46.9 
 
 67 
 
 150. i 
 
 73-2 
 
 27 
 
 204. o 
 
 99-5 
 
 87 
 
 258.0 
 
 125.8 
 
 48 
 
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 08 
 
 97- i 
 
 47-3 
 
 68 
 
 151. o 
 
 73-6 
 
 28 
 
 20 4 . 9 
 
 99-9 
 
 88 
 
 258.9 
 
 126.3 
 
 49 
 
 44- 
 
 21-5 
 
 OQ 
 
 98.0 
 
 47-8 
 
 69 
 
 151.9 
 
 74-1 
 
 29 
 
 205.8 
 
 loo. 4 
 
 89 
 
 259- 8 
 
 126. 7 
 
 5 
 
 44-9 
 
 21-9 
 
 10 
 
 98.9 
 
 48. 2 
 
 7 
 
 152.8 
 
 74-5 
 
 30 
 
 206. 7 
 
 100.8 
 
 9 
 
 260. 7 
 
 127.1 
 
 5' 
 
 45.8 
 
 22.4 
 
 I II 
 
 9-9. 8 
 
 48.7 
 
 171 
 
 153-7 
 
 75.0 
 
 231 
 
 207. 6 
 
 101. 3 
 
 291 
 
 261. 5 
 
 127. 6 
 
 S 2 
 
 46-7 
 
 22.8 
 
 12 
 
 loo. 7 
 
 49- ' 
 
 72 
 
 154.6 
 
 75-4 
 
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 208.5 
 
 101. 7 
 
 92 
 
 262. 4 
 
 128.0 
 
 53 
 
 47-6 
 
 23.2 
 
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 101. 6 
 
 49-5 
 
 73 
 
 '55-5 
 
 75-8 
 
 33 
 
 209.4 
 
 102. I 
 
 93 
 
 263-3 
 
 128.4 
 
 54 
 
 48.5 
 
 23-7 
 
 H 
 
 102. 5 
 
 50. o 
 
 74 
 
 156.4 
 
 76-3 
 
 34 
 
 210. 3 
 
 102. 6 
 
 94 
 
 264. 2 
 
 128.9 
 
 55 
 
 49-4 
 
 24. I 
 
 15 
 
 103.4 
 
 5-4 
 
 75 
 
 J57- 3 
 
 76.7 
 
 35 
 
 211. 2 
 
 103. o 
 
 95 
 
 265.1 
 
 129-3 
 
 56 
 
 50.3 
 
 24-5 
 
 1 6 
 
 104.3 
 
 50.9 
 
 76 
 
 158.2 
 
 77-2 
 
 36 
 
 212. I 
 
 3-5 
 
 96 
 
 266. o 
 
 129. 8 
 
 57 
 
 51.2 
 
 25. o 
 
 17 
 
 105. 2 
 
 5'-3 
 
 77 
 
 159. i 
 
 77-6 
 
 37 
 
 213. o 
 
 i3-9 
 
 97 
 
 266. 9 
 
 130. 2 
 
 58 
 
 52-1 
 
 25.4 
 
 18 
 
 1 06. I 
 
 5'-7 
 
 78 
 
 100. 
 
 78.0 
 
 38 
 
 213-9 
 
 104-3 
 
 9 
 
 267.8 
 
 130. 6 
 
 59 
 
 53- 
 
 25-9 
 
 "9 
 
 107. o 
 
 52.2 
 
 79 
 
 1 60. 9 
 
 78.5 
 
 39 
 
 214.8 
 
 104. 8 
 
 99 
 
 268.7 
 
 iji. i 
 
 60 
 
 53-9 
 
 26. 3 
 
 20 
 
 107.9 
 
 52.6 
 
 So, 
 
 161.8 
 
 78.9 
 
 40 
 
 215.7 
 
 105.2 
 
 300 
 
 269. 6 
 
 '3'-5 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 64 Degrees. 
 
 loU 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 27. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 Dibt. 
 
 Lat. 
 
 Dcp. 
 
 Dist. 
 
 I-at. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.9 
 
 0.5 
 
 61 
 
 54-4 
 
 27.7 
 
 121 
 
 107.8 
 
 54-9 
 
 181 
 
 161.3 
 
 82.2 
 
 241 
 
 214. 7 
 
 109.4 
 
 2 
 
 1.8 
 
 0.9 
 
 62 
 
 55-2 
 
 28.1 
 
 22 
 
 108. 7 
 
 55-4 
 
 82 
 
 162. 2 
 
 82.6 
 
 42 
 
 215. 6 
 
 109.9 
 
 3 
 
 2. 7 
 
 1-4 
 
 63 
 
 56., 
 
 28.6 
 
 23, 
 
 109. 6 
 
 55-8 
 
 83 
 
 163. I 
 
 83.1 
 
 43 
 
 216. 5 
 
 1 1 0-3 
 
 4 
 
 3-6 
 
 1.8 
 
 64 
 
 57.0 
 
 29. I 
 
 2.A 
 
 **r 
 
 no. 5 
 
 5 6 -3 
 
 84 
 
 163.9 
 
 83-5 
 
 44 
 
 217.4 
 
 no. 8 
 
 5 
 
 4-5 
 
 2-3 
 
 65 
 
 57-9 
 
 29-5 
 
 25 
 
 ill. 4 
 
 56.7 
 
 85 
 
 164.8 
 
 84. o 
 
 45 
 
 218.3 
 
 III. 2 
 
 6 
 
 5-3 
 
 2-7 
 
 66 
 
 58.8 
 
 30. o 
 
 26 
 
 112. 3 
 
 57-2 
 
 S6 
 
 165.7 
 
 84.4 
 
 46 
 
 219. 2 
 
 III.7 
 
 7 
 
 6.2 
 
 3- 2 
 
 67 
 
 59-7 
 
 3-4 
 
 27 
 
 113.2 
 
 57-7 
 
 27 
 
 i65. 6 
 
 84-9 
 
 47 
 
 22O. I 
 
 112. I 
 
 8 
 
 7-i 
 
 3-6 
 
 68 
 
 60.6 
 
 3-9 
 
 28 
 
 114. o 
 
 53. i 
 
 S8 
 
 167.5 
 
 85-4 
 
 48 
 
 221. O 
 
 112. 6 
 
 9 
 
 8.0 
 
 4- i 
 
 69 
 
 61.5 
 
 3'-3 
 
 29 
 
 1 14. 9 
 
 58.6 
 
 89 
 
 168.4 
 
 85.8 
 
 49 
 
 221. 9 
 
 113. o 
 
 10 
 
 8.9 
 
 4-5 
 
 7 
 
 62.4 
 
 31.8 
 
 3 
 
 115.8 
 
 59-o 
 
 90 
 
 169. 3 
 
 86. 3 
 
 5 
 
 222.8 
 
 "3-5 
 
 II 
 
 9.8 
 
 5.0 
 
 ?i 
 
 63-3 
 
 32' 2 
 
 3> 
 
 116. 7 
 
 59-5 
 
 191 
 
 170. 2 
 
 86. 7 
 
 251 
 
 223. 6 
 
 114.0 
 
 12 
 
 10.7 
 
 5-4 
 
 72 
 
 64.2 
 
 32-7 
 
 32 
 
 117. 6 
 
 59-9 
 
 92 
 
 I7I.I 
 
 87.2 
 
 S 2 
 
 224-5 
 
 114.4 
 
 13 
 
 u. 6 
 
 5-9 
 
 73 
 
 65. o 
 
 33-i 
 
 33 
 
 118. 5 
 
 60. 4 
 
 93 
 
 172. o 
 
 87.6 
 
 5? 
 
 225.4 
 
 114.9 
 
 '4 
 
 I2 -5 
 
 6.4 
 
 74 
 
 65.9 
 
 33-6 
 
 34 
 
 119.4 
 
 60.8 
 
 94 
 
 172.9 
 
 88.1 
 
 54 
 
 226.3 
 
 iiS-3 
 
 15 
 
 13-4 
 
 6.8 
 
 75 
 
 66.8 
 
 34-o 
 
 35 
 
 120. 3 
 
 61.3 
 
 95 
 
 173-7 
 
 88.5 
 
 55 
 
 227. 2 
 
 115.8 
 
 16 
 
 14-3 
 
 7-3 
 
 76 
 
 67.7 
 
 34- 5 
 
 36 
 
 21. 2 
 
 61.7 
 
 96 
 
 174.6 
 
 89.0 
 
 5 6 
 
 228. I 
 
 1 16. 2 
 
 17 
 
 15. i 
 
 7-7 
 
 77 
 
 68.6 
 
 35- 
 
 37 
 
 22. I 
 
 62.2 
 
 97 
 
 '75-5 
 
 89.4 
 
 57 
 
 229. o 
 
 116. 7 
 
 iS 
 
 16. o 
 
 8.2 
 
 73 
 
 69.5 
 
 35-4 
 
 3 y 
 
 23.0 
 
 62.7 
 
 98 
 
 176.4 
 
 89.9 
 
 58 
 
 229.9 
 
 117.1 
 
 19 
 
 16. 9 
 
 8.6 
 
 79 
 
 70.4 
 
 35-9 
 
 39 
 
 23.8 
 
 63-1 
 
 99' 
 
 177-3 
 
 90.3 
 
 59 
 
 230.8 
 
 117.6 
 
 20 
 
 17.8 
 
 9- i 
 
 So 
 
 7'-3 
 
 36- 3 
 
 40 
 
 24. 7 
 
 63.6 
 
 200 
 
 178. 2 
 
 90. 8 
 
 60 
 
 231- 7 
 
 118. o 
 
 21 
 
 18.7 
 
 9-5 
 
 Si 
 
 72.2 
 
 36.8 
 
 141 
 
 25.6 
 
 64.0 
 
 201 
 
 1/9- l 
 
 9i-3 
 
 261 
 
 232. 6 
 
 118.5 
 
 22 
 
 19. 6 
 
 lo. o 
 
 82 
 
 73- i 
 
 37-2 
 
 42 
 
 26.5 
 
 64.5 
 
 O2 
 
 i So. o 
 
 91.7 
 
 62 
 
 233-4 
 
 118.9 
 
 23 
 
 20. 5 
 
 10. 4 
 
 S3 
 
 74.0 
 
 37-7 
 
 43 
 
 127.4 
 
 64.9 
 
 3 
 
 I So. 9 
 
 92.2 
 
 6j 
 
 234-3 
 
 119.4 
 
 24 
 
 21.4 
 
 10. 9 
 
 84 
 
 74- S 
 
 38.1 
 
 44 
 
 128.3 
 
 65.4 
 
 04 
 
 181.8 
 
 92. 6 
 
 64 
 
 235-2 
 
 119.9 
 
 25 
 
 22. 3 
 
 "3 
 
 85 
 
 75- 7 
 
 38-6 
 
 45 
 
 129. 2 
 
 65.8 
 
 5 
 
 182. 7 
 
 93- i 
 
 65 
 
 236. i 
 
 120. 3 
 
 26 
 
 23.2 
 
 11.8 
 
 86 
 
 76.6 
 
 39-o 
 
 46 
 
 I3O. I 
 
 66.3 
 
 06 
 
 183-5 
 
 93-5 
 
 66 
 
 237-0 
 
 120. 8 
 
 27 
 
 24. I 
 
 12.3 
 
 7 
 
 77-5 
 
 39-5 
 
 47 
 
 I3I.O 
 
 66. 7 
 
 07 
 
 184.4 
 
 94.0 
 
 67 
 
 237-9 
 
 121. 2 
 
 28 
 
 24.9 
 
 12.7 
 
 SS 
 
 78.4 
 
 40. o 
 
 48 
 
 ' I3I-9 
 
 67.2 
 
 08 
 
 iSS-3 
 
 94-4 
 
 68 
 
 238.8 
 
 I2I.7 
 
 29 
 
 25.8 
 
 13.2 
 
 89 
 
 79-3 
 
 40.4 
 
 49 
 
 132.8 
 
 67.6 
 
 09 
 
 186,2 
 
 94-9 
 
 69 
 
 239-7 
 
 122. I 
 
 3 
 
 26. 7 
 
 13.6 
 
 90 
 
 80. 2 
 
 40.9 
 
 5 
 
 '33- 7 
 
 68. i 
 
 10 
 
 187. i 
 
 95-3 
 
 70 
 
 240. 6 
 
 122. 6 
 
 3' 
 
 27.6 
 
 14. i 
 
 9 1 
 
 Si. i 
 
 4'-3 
 
 IS 1 
 
 134.5 
 
 68.6 
 
 211 
 
 188.0 
 
 95-8 
 
 271 
 
 241-5 
 
 123. o 
 
 32 
 
 28.5 
 
 14-5 
 
 92 
 
 82.0 
 
 41.8 
 
 52 
 
 '35-4 
 
 69. o 
 
 12 
 
 188.9 
 
 96. 2 
 
 72 
 
 242.4 
 
 123-5 
 
 33 
 
 29.4 
 
 15.0 
 
 93 
 
 82.9 
 
 42.2 
 
 53 
 
 '3<5- 3 
 
 69.5 
 
 '3 
 
 189.8 
 
 96.7 
 
 73 
 
 243-2 
 
 123-9 
 
 34 
 
 3-3 
 
 15.4 
 
 94 
 
 83.8 
 
 42-7 
 
 54 
 
 137-2 
 
 69.9 
 
 H 
 
 190. 7 
 
 97-2 
 
 74 
 
 244.1- 
 
 124.4 
 
 35 
 
 31.2 
 
 15.9 
 
 95 
 
 84.6 
 
 43- ' 
 
 55 
 
 138. i 
 
 70.4 
 
 15 
 
 191. 6 
 
 97.6 
 
 75 
 
 245.0 
 
 124.8 
 
 3 6 
 
 32.1 
 
 16.3 
 
 96 
 
 85.5 
 
 43- 6 
 
 56 
 
 139.0 
 
 70.8 
 
 16 
 
 192-5 
 
 98. i 
 
 76 
 
 245.9 
 
 I2 5. 3 
 
 37 
 
 33- 
 
 16.8 
 
 97 
 
 86.4 
 
 44.0 
 
 57 
 
 '39-9 
 
 71-3 
 
 17 
 
 193-3 
 
 98-5 
 
 77 
 
 246.8 
 
 125.8 
 
 38 
 
 33-9 
 
 17-3 
 
 98 
 
 87-3 
 
 44-5 
 
 58 
 
 140. 8 
 
 71-7 
 
 18 
 
 194.2 
 
 99-o 
 
 78 
 
 247- 7 
 
 126. 2 
 
 39 
 
 34-7 
 
 '7-7 
 
 99 
 
 SS. 2 
 
 44-9 
 
 59 
 
 141.7 
 
 72.2 
 
 19 
 
 195. i 
 
 99-4 
 
 79 
 
 248.6 
 
 126/7 
 
 40 
 
 35- 6 
 
 IS. 2 
 
 IOO 
 
 89. I 
 
 4JM 
 
 60 
 
 142. 6 
 
 72.6 
 
 20 
 
 196. o 
 
 99-9 
 
 80 
 
 249-5 
 
 I27.I 
 
 4' 
 
 36.5 
 
 18. 6 
 
 101 
 
 90. o 
 
 45-9 
 
 161 ' 
 
 143-5 
 
 73- i 
 
 221 
 
 196.9 
 
 loo. 3 
 
 281 
 
 250.4 
 
 127. 6 
 
 42 
 
 37-4 
 
 19.1 
 
 02 
 
 90.9 
 
 4 6 - 3 
 
 62 
 
 144-3 
 
 73-5 
 
 22 
 
 197.8 
 
 loo. 8 
 
 82 
 
 251-3 
 
 128.0 
 
 43 
 
 38-3 
 
 19.5 
 
 3 
 
 91.8 
 
 46.8 
 
 63 
 
 145.2 
 
 71-0 
 
 2 3 
 
 198.7 
 
 IOI. 2 
 
 83 
 
 252. 2 
 
 128. 5 
 
 44 
 
 39-2 
 
 20. O 
 
 04 
 
 92-7 
 
 47-2 
 
 64 
 
 146. i 
 
 74-5 
 
 24 
 
 199.6 
 
 101. 7 
 
 84 
 
 253-0 
 
 128.9 
 
 45 
 
 40. i 
 
 20. 4 
 
 5 
 
 93- 6 
 
 47-7 
 
 65 
 
 147.0 
 
 74-9 
 
 25 
 
 200. 5 
 
 102. I 
 
 85 
 
 253-9 
 
 129.4 
 
 46 
 
 41. o 
 
 20. 9 
 
 06 
 
 94-4 
 
 48. i 
 
 66 
 
 147.9 
 
 75-4 
 
 26 
 
 201. 4 
 
 102. 6 
 
 86 
 
 254-8 
 
 129.8 
 
 47 
 
 41.9 
 
 21. 3 
 
 7 
 
 95-3 
 
 48.6 
 
 67 
 
 148.8 
 
 75-8 
 
 27 
 
 202. 3 
 
 103. I 
 
 87 
 
 255-7 
 
 130-3 
 
 48 
 
 42.8 
 
 21.8 
 
 08 
 
 96.2 
 
 49.0 
 
 68 
 
 149. 7 
 
 76-3 
 
 28 
 
 203. I 
 
 103-5 
 
 88 
 
 256. 6 
 
 130-7 
 
 49 
 
 43-7 
 
 22. 2 
 
 09 
 
 97.1 
 
 49-5 
 
 69 
 
 150. 6 
 
 76.7 
 
 29 
 
 204. o 
 
 104. o 
 
 89 
 
 257-5 
 
 131.2 
 
 5 
 
 44.6 
 
 22. 7 
 
 10 
 
 98.0 
 
 40.9 
 
 70 
 
 151.5 
 
 77-2 
 
 3 
 
 204.9 
 
 104.4 
 
 90 
 
 258.4 
 
 i3i-7 
 
 5' 
 
 45-4 
 
 23.2 
 
 III 
 
 98.9 
 
 50.4 
 
 I?' 
 
 152.4 
 
 77.6 
 
 231 
 
 205.8 
 
 104.9 
 
 291 
 
 259-3 
 
 132.1 
 
 52 
 
 46-3 
 
 23.6 
 
 12 
 
 99-8 
 
 50.8 
 
 y 2 
 
 153-3 
 
 78.1 
 
 32 
 
 206. 7 
 
 105-3 
 
 92 
 
 2CO. 2 
 
 132. 6 
 
 53 
 
 47.2 
 
 2 4 . I 
 
 3 
 
 loo. 7 
 
 5i-3 
 
 73 
 
 154.1 
 
 78.5 
 
 33 
 
 207. 6 
 
 105. 8 
 
 93 
 
 26l. I 
 
 133-0 
 
 54 
 
 48. i 
 
 24-5 
 
 14 
 
 loi. 6 
 
 Si-8 
 
 74 
 
 155- 
 
 79.0 
 
 34 
 
 208.5 
 
 1 06. 2 
 
 94 
 
 262. o 
 
 133-5 
 
 55 
 
 49.0 
 
 25. o 
 
 IS 
 
 1 02. 5 
 
 52. .2 
 
 75 
 
 155-9 
 
 79-4 
 
 35 
 
 209.4 
 
 1 06. 7 
 
 95 
 
 262.8 
 
 133-9 
 
 56 
 
 49-9 
 
 25.4 
 
 16 
 
 103.4 
 
 52.7 
 
 76 
 
 156.8 
 
 79-9 
 
 36 
 
 210.3 
 
 107. 1 
 
 96 
 
 263.7 
 
 I34.4 
 
 57 
 
 50.8 
 
 25.9 
 
 17 
 
 104. 2 
 
 53- i 
 
 77 
 
 157- 7 
 
 80.4 
 
 37- 
 
 211. 2 
 
 107. 6 
 
 97 
 
 264. 6 
 
 134. 8 
 
 58 
 
 5'- 7 
 
 26. 3 
 
 18 
 
 105. I 
 
 53-6 
 
 78 
 
 158.6 
 
 80.8 
 
 38 
 
 212. I 
 
 108.0 
 
 98 
 
 265.5 
 
 135-3 
 
 59 
 
 52.6 
 
 26.8 
 
 19 
 
 1 06. o 
 
 31.0 
 
 79 
 
 159-5 
 
 81.3 
 
 39 
 
 213. o 
 
 1 08. 5 
 
 99 
 
 266.4 
 
 135-7 
 
 60 
 
 53-5 
 
 27.2 
 
 20 
 
 106. 9 
 
 54-5 
 
 80 
 
 1 60. 4 
 
 81.7 
 
 40 
 
 213.8 
 
 109. o 
 
 300 
 
 267.3 
 
 136. 2 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Di5t. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lot. 
 
 [ For 63 Degrees. 
 
 140 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 28. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 I-at 
 
 Dep. 
 
 I 
 
 0.9 
 
 0. 5 
 
 61 
 
 53-9 
 
 28. 6 
 
 121 
 
 Ic6. 8 
 
 56. 8 
 
 iSi 
 
 159.8 
 
 85. 
 
 241 
 
 212. 8 
 
 II 3 . I 
 
 2 
 
 1.8 
 
 0.9 
 
 62 
 
 54- 7 
 
 29. I 
 
 22 
 
 107. 7 
 
 57-3 
 
 82 
 
 1 60. 7 
 
 85.4 
 
 42 
 
 213. 7 
 
 113.6 
 
 3 
 
 2.6 
 
 1.4 
 
 63 
 
 55-6 
 
 29. 6 
 
 23 
 
 108. 6 
 
 57-7 
 
 83 
 
 161.6 
 
 85.9 
 
 43 
 
 214. 6 
 
 I 14. I 
 
 4 
 
 3-5 
 
 1.9 
 
 64 
 
 56- i 
 
 30. o 
 
 24 
 
 109. 5 
 
 58.2 
 
 84 
 
 162. 5 
 
 86.4 
 
 44 
 
 215.4 
 
 114. 6 
 
 5 
 
 4-4 
 
 2 - 3 
 
 65 
 
 57-4 
 
 3-5 
 
 25 
 
 1 10. 4 
 
 58.7 
 
 85 
 
 163-3 
 
 86.9 
 
 45 
 
 216. 3 
 
 115. o 
 
 6 
 
 5- 3 
 
 2.8 
 
 66 
 
 
 31.0 
 
 26 
 
 111.3 
 
 59-2 
 
 86 
 
 164. 2 
 
 87.3 
 
 46 
 
 217. 2 
 
 115.5 
 
 7 
 
 6. 2 
 
 3- 3 
 
 6? 
 
 59-2 
 
 31-5 
 
 27 
 
 112. I 
 
 59-6 
 
 87 
 
 165. I 
 
 87.8 
 
 47 
 
 218. i 
 
 I ID. O 
 
 8 
 
 7- i 
 
 3-8 
 
 6$ 
 
 60. o 
 
 31-9 
 
 28 
 
 113. o 
 
 DO. I 
 
 88 
 
 166. o 
 
 88-3 
 
 48 
 
 219. o 
 
 116. 4 
 
 9 
 
 7-9 
 
 4-2 
 
 69 
 
 60.9 
 
 32-4 
 
 29 
 
 H3-9 
 
 60. 6 
 
 89 
 
 166.9 
 
 88.7 
 
 49 
 
 219.9 
 
 116. 9 
 
 IO 
 
 8.8 
 
 4- 7 
 
 70 
 
 6!. 8 
 
 33-9 
 
 30 
 
 II4.8 
 
 61. o 
 
 CO 
 
 167.8 
 
 80.2 
 
 50 
 
 220. 7 
 
 117.4 
 
 ii 
 
 9- 7 
 
 5- 2 
 
 7' 
 
 62.7 
 
 33-3 
 
 I 3 l 
 
 II5.7 
 
 61.5 
 
 191 
 
 168. 6 
 
 89.7 
 
 251 
 
 221. 6 
 
 117.8 
 
 12 
 
 io.-6 
 
 5.6 
 
 72 
 
 63.6 
 
 33-8 
 
 32 
 
 116. 5 
 
 62. o 
 
 92 
 
 169.5 
 
 90. i 
 
 52 
 
 222. 5 
 
 118.3 
 
 13 
 
 H.J 
 
 6. i 
 
 73 
 
 64.5 
 
 34-3 
 
 33 
 
 117.4 
 
 62. 4 
 
 93 
 
 170.4 
 
 90. 6 
 
 53 
 
 223.4 
 
 118. 8 
 
 '4 
 
 12.4 
 
 6.6 
 
 74 
 
 65-3 
 
 34-7 
 
 34 
 
 118. 3 
 
 62. 9 
 
 94 
 
 I7I-3 
 
 91.1 
 
 54 
 
 224-3 
 
 Iig. 2 . 
 
 \l 
 
 13-2 
 14.1 
 
 7-5 
 
 75 
 
 66. 2 
 67.1 
 
 35-2 
 35- 7 
 
 35 
 36 
 
 I 19. 2 
 120. I 
 
 63.4 
 63. 8 
 
 9 
 
 172. 2 
 173- ' 
 
 91.5 
 92. o 
 
 55 
 56 
 
 225. 2 
 220. O 
 
 "9-7 
 120. 2 
 
 17 
 
 15.0 
 
 8.0 
 
 77 
 
 6S.o 
 
 36.1 
 
 37 
 
 121. O 
 
 64-3 
 
 97 
 
 1/3-9 
 
 92.5 
 
 57 
 
 226. 9 
 
 120. 7 
 
 18 
 
 '5-9 
 
 8-5 
 
 78 
 
 68.9 
 
 36.6 
 
 
 121. S 
 
 64.8 
 
 98 
 
 174.8 
 
 93- 
 
 58 
 
 227.8 
 
 121. I 
 
 '9 
 
 20 
 
 16.8 
 17.7 
 
 8. 9 
 9-4 
 
 79 
 So 
 
 69.8 
 70. 6 
 
 37-1 
 37-6 
 
 39 
 
 40 
 
 122. 7 
 
 123. 6 
 
 65-3 
 65-7 
 
 99 
 200 
 
 1/5- 7 
 176. 6 
 
 93- 4 
 93-9 
 
 S 
 
 228. 7 
 229. 6 
 
 121. 6 
 122. I 
 
 21 
 
 18.5 
 
 9-9 
 
 Si 
 
 71-5 
 
 38.0 
 
 141 
 
 124.5 
 
 66.2 
 
 201 
 
 177-5 
 
 94-4 
 
 261 
 
 230-4 
 
 122.5 
 
 22 
 
 19.4 
 
 10.3 
 
 82 
 
 72.4 
 
 3-5 
 
 42 
 
 125.4 
 
 66. 7 
 
 O2 
 
 178.4 
 
 94-8 
 
 62 
 
 231-3 
 
 123. o 
 
 23 
 
 20.3 
 
 10.8 
 
 83 
 
 73-3 
 
 39-0 
 
 43 
 
 126.3 
 
 67.1 
 
 03 
 
 179. 2 
 
 95-3 
 
 63 
 
 232. 2 
 
 I2 3-5 
 
 24 
 
 Si. 2 
 
 "3 
 
 84 
 
 74-2 
 
 39-4 
 
 44 
 
 127.1 
 
 67.6 
 
 04 
 
 180. i 
 
 95.8 
 
 64 
 
 233- I 
 
 I2 3-9 
 
 2 5 
 
 22. I 
 
 11.7 
 
 85 
 
 75- i 
 
 39- 9 
 
 45 
 
 128.0 
 
 68. i 
 
 5 
 
 181. o 
 
 96. 2 
 
 65 
 
 234.0 
 
 124.4 
 
 26 
 
 23.0 
 
 12. 2 
 
 86 
 
 75-9 
 
 40.4 
 
 46 
 
 128. 9 
 
 68. 5 
 
 06 
 
 181. 9 
 
 96.7 
 
 66 
 
 234-9 
 
 124.9 
 
 27 
 
 23.8 
 
 12-7 
 
 87 
 
 76.8 
 
 40.8 
 
 47 
 
 129.8 
 
 69. o 
 
 07 
 
 182.8 
 
 97- 2 
 
 67 
 
 235- 7 
 
 
 28 
 
 .24.7 
 
 "3-' 
 
 88 
 
 77-7 
 
 41-3 
 
 48 
 
 13- 7 
 
 69.5 
 
 08 
 
 183.7 
 
 97-7 
 
 68 
 
 236. 6 
 
 I2J8 
 
 2 9 
 
 25.6 
 
 13-6 
 
 89 
 
 78.6 
 
 41.8 
 
 49 
 
 131. 6 
 
 70. o 
 
 09 
 
 184.5 
 
 98. i 
 
 69 
 
 2 37- 5 
 
 126. 3 
 
 3 
 
 26.5 
 
 14. i 
 
 90 
 
 79-5 
 
 42-3 
 
 5 
 
 132-4 
 
 70.4 
 
 10 
 
 185.4 
 
 98.6 
 
 70 
 
 238.4 
 
 126. 8 
 
 3' 
 
 27.4 
 
 14. 6 
 
 9' 
 
 80.3 
 
 42. 7 
 
 I5 1 
 
 133-3 
 
 70. 9 
 
 211 
 
 186. 3 
 
 99- i 
 
 271 
 
 2 39-3 
 
 127.2 
 
 S 2 
 
 28.3 
 
 15.0 
 
 92 
 
 81.2 
 
 43-2 
 
 
 134-2 
 
 71.4 
 
 12 
 
 187. 2 
 
 99- 5 
 
 72 
 
 240. 2 
 
 127. 7 
 
 33 
 
 29.1 
 
 '5-5 
 
 93 
 
 82. i 
 
 43-7 
 
 53 
 
 135- i 
 
 71.8 
 
 13 
 
 1 88. i 
 
 IOO. O 
 
 73 
 
 241. o 
 
 128. 2 
 
 34 
 
 30. o 
 
 IO. O 
 
 94 
 
 83. o 
 
 44- i 
 
 54 
 
 136. o 
 
 72-3 
 
 14 
 
 189. o 
 
 too. 5 
 
 74 
 
 241. 9 
 
 28.6 
 
 35 
 
 3-9 
 
 16. 4 
 
 95 
 
 83. 9 
 
 44- 6 
 
 55 
 
 136.9 
 
 72.8 
 
 15 
 
 lag. 8 
 
 loo. 9 
 
 75 
 
 242. 8 
 
 9. i 
 
 3 6 
 
 31-8 
 
 16. 9 
 
 96 
 
 84.8 
 
 45- i 
 
 56 
 
 137-7 
 
 73-2 
 
 IO 
 
 190. 7 
 
 101. 4 
 
 76 
 
 243- 7 
 
 29.6 
 
 37 
 
 32-7 
 
 17.4 
 
 97 
 
 5. 6 
 
 45-5 
 
 57 
 
 138.6 
 
 73- 7 
 
 17 
 
 191. 6 
 
 101. 9 
 
 77 
 
 244. 6 
 
 30.0 
 
 38 
 
 33-6 
 
 17.8 
 
 98 
 
 86.5 
 
 46. o 
 
 58 
 
 !39-J 
 
 74-2 
 
 18 
 
 192.5 
 
 102. 3 
 
 78 
 
 *45- 5 
 
 30-5 
 
 39 
 
 34-4 
 
 18.3 
 
 99 
 
 87.4 
 
 46-5 
 
 59 
 
 140.4 
 
 74-6 
 
 19 
 
 193-4 
 
 102. 8 
 
 79 
 
 246. 3 
 
 3 1 - 
 
 40 
 
 35-3 
 
 18. 8 
 
 IOO 
 
 88.3 
 
 46.9 
 
 60 
 
 141-3 
 
 75- i 
 
 20 
 
 194. 2 
 
 i3-3 
 
 80 
 
 247-2 
 
 131-5 
 
 41 
 
 36-2 
 
 19. 2 
 
 101 
 
 89. 2 
 
 47-4 
 
 161 
 
 142. 2 
 
 75-6 
 
 221 
 
 195. i 
 
 103.8 
 
 281 
 
 248. i 
 
 13I-9 
 
 42 
 
 37-i 
 
 19. 7 
 
 02 
 
 90. I 
 
 47-9 
 
 62 
 
 143.0 
 
 76.1 
 
 22 
 
 196. o 
 
 104. 2 
 
 82 
 
 249. o 
 
 132-4 
 
 43 
 
 38.0 
 
 20. 2 
 
 3 
 
 90. 9 
 
 48-4 
 
 63 
 
 143-9 
 
 76.5 
 
 23 
 
 196.9 
 
 104. 7 
 
 83 
 
 249. 9 
 
 132.9 
 
 44 
 
 38.8 
 
 20-7 
 
 04 
 
 91.8 
 
 48.8 
 
 64 
 
 144.8 
 
 77-0 
 
 24 
 
 197.8 
 
 105. 2 
 
 84 
 
 250. 8 
 
 133-3 
 
 45 
 
 46 
 
 39-7 
 40. 6 
 
 21. I 
 21.6 
 
 05 
 06 
 
 92.7 
 93.6 
 
 49-3 
 49-8 
 
 a 
 
 145-7 
 
 146. 6 
 
 77-5 
 77-9 
 
 25 
 26 
 
 198.7 
 
 199- 5 
 
 105. 6 
 1 06. I 
 
 8 5 
 86 
 
 251. 6 
 252-5 
 
 133-8 
 134-3 
 
 47 
 
 41.5 
 
 22. I 
 
 07 
 
 94-5 
 
 50. 2 
 
 67 
 
 147-5 
 
 78-4 
 
 27 
 
 200. 4 
 
 106. 6 
 
 87 
 
 253- 4 
 
 134- 7 
 
 48 
 
 42.4 
 
 22-5 
 
 08 
 
 95-4 
 
 50.7 
 
 68 
 
 148.3 
 
 78.9 
 
 28 
 
 201. 3 
 
 107. o 
 
 88 
 
 254-3 
 
 135-2 
 
 49 
 
 43-3 
 
 23. o 
 
 09 
 
 96. 2 
 
 51.2 
 
 69 
 
 149.2 
 
 79- 3 
 
 29 
 
 2C2. 2 
 
 107. 5 
 
 89 
 
 2 55- 2 
 
 135- 7 
 
 50 
 
 44- i 
 
 23-5 
 
 IO 
 
 97- 
 
 Si. 6 
 
 70 
 
 150. i 
 
 79.8 
 
 30 
 
 203. I 
 
 1 08. o 
 
 9 
 
 2^6. I 
 
 136. i 
 
 5' 
 
 45.0 
 
 23-9 
 
 III 
 
 98. o 
 
 52. i 
 
 171 
 
 151. o 
 
 80. 3 
 
 231 
 
 204. o 
 
 1 08. 4 
 
 291 
 
 256. g 
 
 136.6 
 
 52 
 
 45-9 
 
 24.4 
 
 12 
 
 98.9 
 
 52.6 
 
 72 
 
 151.9 
 
 80. 7 
 
 32 
 
 204. 8 
 
 1 08. 9 
 
 92 
 
 257.8 
 
 137. i 
 
 53 
 
 46. 8 
 
 24-9 
 
 13 
 
 99.8 
 
 53-1 
 
 73 
 
 152.7 
 
 81.2 
 
 33 
 
 205. 7 
 
 109.4 
 
 93 
 
 258.7 
 
 137-6 
 
 54 
 
 47- 7 
 
 25.4 
 
 '4 
 
 loo. 7 
 
 53-5 
 
 74 
 
 153-6 
 
 81.7 
 
 34 
 
 206. 6 
 
 109.9 
 
 94 
 
 259. o 
 
 138.0 
 
 55 
 
 48. 6 
 
 25.8 
 
 15 
 
 101. 5 
 
 54-0 
 
 75 
 
 154-5 
 
 &2.2 
 
 35 
 
 207. 5 
 
 1 10. 3 
 
 95 
 
 260. 5 
 
 I38-5 
 
 56 
 
 49-4 
 
 26. 3 
 
 16 
 
 102. 4 
 
 54-5 
 
 76 
 
 155-4 
 
 82. 6 
 
 36 
 
 208. 4 
 
 1 10. 8 
 
 96 
 
 261. 4 
 
 139- o 
 
 57 
 
 50-3 
 
 :5.8 
 
 17 
 
 103.3 
 
 54- 9 
 
 77 
 
 156-3 
 
 83-1 
 
 37 
 
 209. 3 
 
 111.3 
 
 97 
 
 262. 2 
 
 139- 4 
 
 58 
 
 51.2 
 
 27. 2 
 
 18 
 
 104. 2 
 
 55-4 
 
 78 
 
 157.2 
 
 83-6 
 
 38 
 
 210. I 
 
 in. 7 
 
 98 
 
 263. i 
 
 39-9 
 
 59 
 
 52.1 
 
 27.7 
 
 19 
 
 lOJ. 1 
 
 55-9 
 
 79 
 
 158.0 
 
 84.0 
 
 39 
 
 211. O 
 
 112. 2 
 
 99 
 
 264. o 
 
 140. 4 
 
 60 
 
 53-o 
 
 28. 2 
 
 20 
 
 loo. o 
 
 5-3 
 
 80 
 
 158.9 
 
 84.5 
 
 40 
 
 211. 9 
 
 112. 7 
 
 300 
 
 264. 9 
 
 140. 8 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 nist. 
 
 Dep. 
 
 Lat. 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist 
 
 Dep. 
 
 Lat 
 
 [For 62 Degrees. 
 
 141 
 
DIFFERENCE. OF LATITUDE AND DEPARTURE FOR 29. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.9 
 
 0. 5 
 
 6l 
 
 53-4 
 
 29. 6 
 
 121 
 
 105.8 
 
 58.7 
 
 181 
 
 158.3 
 
 87.8 
 
 241 
 
 210. 8 
 
 116.8 
 
 2 
 
 ' 7 
 
 I. O 
 
 6j> 
 
 54-2 
 
 30.1 
 
 22 
 
 106. 7 
 
 59.1 
 
 8= 
 
 159.2 
 
 88.2 
 
 42 
 
 211. 7 
 
 "73 
 
 3 
 
 2.6 
 
 '5 
 
 63 
 
 55- i 
 
 3-5 
 
 23 
 
 107. 6 
 
 59-6 
 
 83 
 
 1 60. I 
 
 88. 7 
 
 43 
 
 212. 5 
 
 117.8 
 
 4 
 
 3- ^ 
 
 1.9 
 
 64 
 
 56- 
 
 31.0 
 
 24 
 
 io3. 5 
 
 60. i 
 
 84 
 
 160.9 
 
 89.2 
 
 44 
 
 213-4 
 
 118.3 
 
 5 
 
 4-4 
 
 2.4 
 
 65 
 
 56.9 
 
 3'-S 
 
 25 
 
 "9-3 
 
 60.6 
 
 f5 
 
 161.8 
 
 89.7 
 
 45 
 
 24-3 
 
 118. 8 
 
 6 
 
 5. 2 
 
 2. 9 
 
 66 
 
 57- 7 
 
 32.0 
 
 26 
 
 IIO. 2 
 
 61. i 
 
 86 
 
 162. 7 
 
 90. 2 
 
 46 
 
 215.2 
 
 "9-3 
 
 7 
 
 6. i 
 
 3-4 
 
 67 
 
 50. 6 
 
 32-5 
 
 27 
 
 III. I 
 
 61.6 
 
 87 
 
 163.6 
 
 90. 7 
 
 47 
 
 216. o 
 
 119.7 
 
 8 
 
 7.0 
 
 3-9 
 
 68 
 
 59-5 
 
 33- 
 
 28 
 
 112. 
 
 62. i 
 
 88 
 
 164.4 
 
 91.1 
 
 48 
 
 216. 9 
 
 1 2O. 2 
 
 9 
 
 7-9 
 
 4-4 
 
 69 
 
 60. 3 
 
 33-5 
 
 29 
 
 112. 8 
 
 62.5 
 
 89 
 
 6 5-3 
 
 91. 6 
 
 49 
 
 217.8 
 
 120. 7 
 
 10 
 
 8-7 
 
 
 70 
 
 61.2 
 
 33-9 
 
 30 
 
 "3-7 
 
 63. o 
 
 90 
 
 166.2 
 
 92. i 
 
 5 
 
 218. 7 
 
 121. 2 
 
 II 
 
 9.6 
 
 5-3 
 
 71 
 
 62. i 
 
 34-4 
 
 13' 
 
 114.6 
 
 ^3-5 
 
 191 
 
 167. i 
 
 92. 6 
 
 251 
 
 219.5 
 
 I2I.7 
 
 12 
 
 10.5 
 
 
 72 
 
 63. o 
 
 34-9 
 
 32 
 
 115.4 
 
 64. o 
 
 92 
 
 167.9 
 
 93-' 
 
 52 
 
 220. 4 
 
 122. 2 
 
 13 
 
 11.4 
 
 6- 3 
 
 73 
 
 63.8 
 
 35-4 
 
 33 
 
 116. 3 
 
 64.5 
 
 93 
 
 168.8 
 
 93- 6 
 
 53 
 
 221. 3 
 
 122. 7 
 
 14 
 
 12. 2 
 
 6. 8 
 
 74 
 
 64.7 
 
 35-9 
 
 34 
 
 117. 2 
 
 65. o 
 
 54 
 
 169.7 
 
 94.1 
 
 54 
 
 222; 2 
 
 I2 3 .I 
 
 15 
 
 '3- i 
 
 7.3 
 
 75 
 
 65.6 
 
 36.4 
 
 35 
 
 118. i 
 
 65.4 
 
 95 
 
 170. 6 
 
 94-5 
 
 55 
 
 223.0 
 
 123. 6 
 
 16 
 
 14. o 
 
 7-8 
 
 76 
 
 66.5 
 
 36.8 
 
 36 
 
 118.9 
 
 65-9 
 
 96 
 
 171.4 
 
 95.0 
 
 56 
 
 223. 9 
 
 124. i 
 
 17 
 
 14.9 
 
 8.2 
 
 77 
 
 67-3 
 
 37-3 
 
 37 
 
 119. 8 
 
 66.4 
 
 97 
 
 1/2.3 
 
 95-5 
 
 57 
 
 224.8 
 
 124. 6 
 
 18 
 
 *5- 7 
 
 8.7 
 
 78 
 
 68.2 
 
 37-8 
 
 
 1 20. 7 
 
 66.9 
 
 98 
 
 "73-2 
 
 96. o 
 
 58 
 
 225.7 
 
 125.1 
 
 '9 
 
 1 6. 6 
 
 9.2 
 
 79 
 
 69. i 
 
 38.3 
 
 39 
 
 121. 6 
 
 67.4 
 
 99 
 
 174.0 
 
 96-5 
 
 59 
 
 226. 5 
 
 125.6 
 
 20 
 
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 80 
 
 70. o 
 
 38.8 
 
 40 
 
 122. 4 
 
 67.9 
 
 200 
 
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 97.0 
 
 60 
 
 227-4 
 
 126. i 
 
 21 
 
 18.4 
 
 10. 2 
 
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 70.8 
 
 39-3 
 
 141 
 
 123-3 
 
 68.4 
 
 201 
 
 175.8 
 
 97-4 
 
 261 
 
 228.3 
 
 126. 5 
 
 22 
 
 19.2 
 
 10. 7 
 
 82 
 
 71. 7 
 
 39-8 
 
 42 
 
 124. 2 
 
 60.8 
 
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 176.7 
 
 97-9 
 
 62 
 
 229. 2 
 
 127.0 
 
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 20. I 
 
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 83 
 
 72.6 
 
 40. 2 
 
 43 
 
 125. I 
 
 69-3 
 
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 98-4 
 
 63 
 
 230. o 
 
 127.5 
 
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 21. O 
 
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 84 
 
 73-5 
 
 40. 7 
 
 44 
 
 125.9 
 
 69.8 
 
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 178.4 
 
 98.9 
 
 64 
 
 230.9 
 
 128.0 
 
 25 
 
 21-9 
 
 12. I 
 
 85 
 
 74-3 
 
 41.2 
 
 45 
 
 126.8 
 
 7-3 
 
 5 
 
 179-3 
 
 99-4 
 
 65 
 
 231. 8 
 
 128.5 
 
 26 
 
 22. 7 
 
 12. 6 
 
 86 
 
 75-2 
 
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 127.7 
 
 70.8 
 
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 99-9 
 
 66 
 
 232. 6 
 
 129. o 
 
 27 
 
 23. 6 
 
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 87 
 
 76.1 
 
 42.2 
 
 47 
 
 128.6 
 
 7'-3 
 
 07 
 
 181.0 
 
 100. 4 
 
 67 
 
 233-5 
 
 129.4 
 
 28 
 
 24.5 
 
 1 3 .6 
 
 88' 
 
 77.0 
 
 42-7 
 
 48 
 
 129.4 
 
 71.8 
 
 08 
 
 181.9 
 
 100. 8 
 
 68 
 
 2 34-4 
 
 129.9 
 
 29 
 
 25.4 
 
 14. I 
 
 89 
 
 77.8 
 
 43-1 
 
 49 
 
 3-3 
 
 72.2 
 
 09 
 
 182.8 
 
 101.3 
 
 69 
 
 235-3 
 
 130.4 
 
 3 
 
 20. 2 
 
 H-5 
 
 90 
 
 78.7 
 
 43- 6 
 
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 131.2 
 
 72-7 
 
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 183.7 
 
 101.8 
 
 70 
 
 236. i 
 
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 27.1 
 
 15.0 
 
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 79.6 
 
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 132. i 
 
 73-2 
 
 211 
 
 184.5 
 
 1 02. 3 
 
 271 
 
 237-0 
 
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 28.0 
 
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 80.5 
 
 44-6 
 
 52 
 
 132-9 
 
 73-7 
 
 12 
 
 185. 4 
 
 102. 8 
 
 72 
 
 237-9 
 
 3'-9 
 
 33 
 
 28.9 
 
 1 6. o 
 
 93 
 
 81.3 
 
 45- I 
 
 53 
 
 '33-8 
 
 74.2 
 
 '3 
 
 186.3 
 
 103. -5 
 
 73 
 
 238-8 
 
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 34 
 
 29. 7 
 
 16.5 
 
 94 
 
 82.2 
 
 45-6 
 
 54 
 
 134-7 
 
 74-7 
 
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 '3- 7 
 
 74 
 
 239.6 
 
 132.8 
 
 35 
 
 30. 6 
 
 17.0 
 
 
 S3-' 
 
 46. i 
 
 55 
 
 135-6 
 
 75-' 
 
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 1 88. o 
 
 104. 2 
 
 75 
 
 240.5 
 
 133-3 
 
 36 
 
 3'-5 
 
 '7-5 
 
 96 
 
 84.0 
 
 46.5 
 
 
 136.4 
 
 75-6 
 
 16 
 
 188.9 
 
 104.7 
 
 76 
 
 241.4 
 
 133-8 
 
 37 
 
 32-4 
 
 17.9 
 
 97 
 
 84.8 
 
 47.0 
 
 57 
 
 '37-3 
 
 76.1 
 
 17 
 
 189. 8 
 
 105. 2 
 
 77 
 
 242-3 
 
 134-3 
 
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 33-2 
 
 1 8. 4 
 
 98 
 
 85.7 
 
 47-5. 
 
 58 
 
 138. 2 
 
 76.6 
 
 18 
 
 190.7 
 
 105.7 
 
 78 
 
 2 43-' 
 
 134.8 
 
 39 
 
 34- i 
 
 18.9 
 
 99 
 
 86. 6 
 
 48.0 
 
 59 
 
 I39-I 
 
 77- 1 
 
 19 
 
 191.5 
 
 1 06. 2 
 
 79 
 
 244.0 
 
 '35-3 
 
 40 
 
 35- 
 
 19.4 
 
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 87- S 
 
 48.5 
 
 60 
 
 139-9 
 
 77-6 
 
 20 
 
 192.4 
 
 106. 7 
 
 80 
 
 244. -9 
 
 "35-7 
 
 41 
 
 42 
 
 35-9 
 36-7 
 
 19.9 
 
 20. 4 
 
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 02 
 
 88.3 
 89.2 
 
 49.0 
 49-5 
 
 161 
 
 62 
 
 140. 8 
 141. 7 
 
 78.1 
 78.5 
 
 221 
 22 
 
 193-3 
 194.2 
 
 107.1 
 107. 6 
 
 281 
 
 82 
 
 245.8 
 246. 6 
 
 136.2 
 136-7 
 
 43 
 
 37-6 
 
 20.8 
 
 3 
 
 90. i 
 
 49-9 
 
 63 
 
 142. 6 
 
 79.0 
 
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 195.0 
 
 1 08. i 
 
 83 
 
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 137-2 
 
 44 
 45 
 
 38.5 
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 21.3 
 
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 05 
 
 91. o 
 91.8 
 
 50.4 
 50.9 
 
 64 
 65 
 
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 79-5 
 
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 195.9 
 196.8 
 
 1 08. 6 
 109. i 
 
 84 
 
 248.4 
 249-3 
 
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 46 
 
 40. 2 
 
 22. 3 
 
 06 
 
 92.7 
 
 51.4 
 
 66 
 
 145.2 
 
 80.5 
 
 26 
 
 "97-7 
 
 109. 6 
 
 86 
 
 250. i 
 
 138-7 
 
 47 
 
 41. I 
 
 22.8 
 
 07 
 
 93-6 
 
 51.9 
 
 67 
 
 146. i 
 
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 27 
 
 198.5 
 
 no. i 
 
 87 
 
 251.0 
 
 '39- ' 
 
 48 
 
 42. o 
 
 23-3 
 
 08 
 
 94-5 
 
 52.4 
 
 68 
 
 146. 9 
 
 81.4 
 
 28 
 
 199. 4 
 
 no. 5 
 
 88 
 
 251.9 
 
 139.6 
 
 49 
 
 42. 9 
 
 23-2 
 
 09 
 
 95-3 
 
 52.8 
 
 69 
 
 147.8 
 
 81.9 
 
 29 
 
 200. 3 
 
 III. O 
 
 89 
 
 252.8 
 
 140. i 
 
 5 
 
 43-7 
 
 24.2 
 
 10 
 
 96.2 
 
 53-3 
 
 7 
 
 148. 7 
 
 82.4 
 
 3 
 
 201. 2 
 
 111.5 
 
 90 
 
 253-6 
 
 140. 6 
 
 51 
 
 44- 6 
 
 24. 7 
 
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 97.1 
 
 53-8 
 
 171 
 
 149. 6 
 
 82. 9 
 
 231 
 
 202. O 
 
 I 12. O 
 
 291 
 
 254-5 
 
 141. I 
 
 5 2 
 
 45-5 
 
 25.2 
 
 12 
 
 98.0 
 
 54-3 
 
 72 
 
 150.4 
 
 83-4 
 
 32 
 
 2O2. 9 
 
 II2.5 
 
 92 
 
 255-4 
 
 141. 6 
 
 53 
 
 46.4 
 
 25- 7 
 
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 98.8 
 
 54-8 
 
 73 
 
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 83-9 
 
 33 
 
 203.8 
 
 113. o 
 
 93 
 
 256-3 
 
 142.0 
 
 54 
 
 47.2 
 
 20. 2 
 
 14 
 
 99- 7 
 
 55-3 
 
 74 
 
 152,2 
 
 84. 4 
 
 34 
 
 204.7 
 
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 94 
 
 257.1 
 
 142.5 
 
 55 
 
 48.1 
 
 26. 7 
 
 15 
 
 100. 6 
 
 
 75 
 
 I53. i 
 
 84.8 
 
 35 
 
 205.5 
 
 i ''3- 9 
 
 95 
 
 258.0 
 
 143-0 
 
 56 
 
 49- 
 
 27. i 
 
 16 
 
 101. 5 
 
 50! 2 
 
 76 
 
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 85.3 
 
 36 
 
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 114.4 
 
 96 
 
 258.9 
 
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 57 
 
 49-9 
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 27.6 
 28. I 
 
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 102. 3 
 103.2 
 
 56.7 
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 77 
 78 
 
 154.8 
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 85.8 
 86.3 
 
 37 
 38 
 
 207.3 
 
 208. 2 
 
 114.9 
 115.4 
 
 97 
 98 
 
 259-8 
 260.6 
 
 144.0 
 144.5 
 
 59 
 
 51.6 
 
 28.6 
 
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 57-7 
 
 79 
 
 156.6 
 
 86.8 
 
 39 
 
 209. o 
 
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 99 
 
 261. 5 
 
 145.0 
 
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 52-5 
 
 29. I 
 
 20 
 
 105. o 
 
 58.2 
 
 80 
 
 I57.4 
 
 87-3 
 
 40 
 
 209.9 
 
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 300 
 
 262.4 
 
 145.4 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
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 [For 6 1 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 30. 
 
 Dist 
 
 Lt. 
 
 Do,, 
 
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 0.9 
 
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 61 
 
 52.8 
 
 3-5 
 
 121 
 
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 156. 8 
 
 90.5 
 
 241 
 
 208. 7 
 
 120. 5 
 
 2 
 
 1-7 
 
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 62 
 
 53-7 
 
 31.0 
 
 22 
 
 105. 7 
 
 61. o 
 
 82 
 
 157.6 
 
 91. o 
 
 42 
 
 209. 6 
 
 121. O 
 
 3 
 
 2.6 
 
 '5 
 
 63 
 
 54.6 
 
 31-5 
 
 23 
 
 1 06. 5 
 
 61.5 
 
 83 
 
 158.5 
 
 91.5 
 
 43 
 
 210. 4 
 
 I2I-5 
 
 4 
 
 3-5 
 
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 64 
 
 55- 4 
 
 32. o 
 
 24 
 
 107.4 
 
 02. O 
 
 84 
 
 159-3 
 
 92. o 
 
 44 
 
 211.3 
 
 122. O 
 
 5 
 
 4-3 
 
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 65 
 
 5- 3 
 
 32-5 
 
 25 
 
 108. 3 
 
 62.5 
 
 85 
 
 l6o. 2 
 
 92 5 
 
 45 
 
 212. 2 
 
 122.5 
 
 6 
 
 5-2 
 
 3- 
 
 66 
 
 57-2 
 
 33- 
 
 26 
 
 109. i 
 
 63. o 
 
 86 
 
 161. i 
 
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 213. o 
 
 123. o 
 
 7 
 
 6. i 
 
 3- 5 
 
 67 
 
 58. o 
 
 33- 5 
 
 27 
 
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 63.5 
 
 87 
 
 161. 9 
 
 93-5 
 
 47 
 
 213-9 
 
 123-5 
 
 8 
 
 6. 9 
 
 4.0 
 
 68 
 
 58 a 
 
 34- o 
 
 28 
 
 no. 9 
 
 64 o 
 
 83 
 
 162. 8 
 
 94-0 
 
 48 
 
 214. 8 
 
 124. o 
 
 9 
 
 7-8 
 
 4- 5 
 
 69 
 
 59. S 
 
 34- 5 
 
 29 
 
 111.7 
 
 64.5 
 
 89 
 
 163- 7 
 
 94- 5 
 
 49 
 
 215. 6 
 
 124. 5 
 
 10 
 
 8-7 
 
 
 7 
 
 60. 6 
 
 35-0 
 
 3 
 
 112. 6 
 
 65. o 
 
 qo 
 
 164. 5 
 
 95.0 
 
 50 
 
 216. 5 
 
 125. o 
 
 12 
 
 9-5 
 10.4 
 
 5-5 
 6.0 
 
 72 
 
 61.5 
 62 4 
 
 35-5 
 36. o 
 
 131 
 3 2 
 
 "3-4 
 H4-3 
 
 65.5 
 
 66.0 
 
 191 
 
 92 
 
 165.4 
 1 66. 3 
 
 95-5 
 90. o 
 
 251 
 52 
 
 217.4 
 218.2 
 
 125- 5 
 126. o 
 
 13 
 
 "3 
 
 6.5 
 
 73 
 
 63. 2 
 
 36.5 
 
 33 
 
 115.2 
 
 66. 5 
 
 93 
 
 167.1 
 
 96.5 
 
 53 
 
 219. i 
 
 126.5 
 
 14 
 
 12. I 
 
 7-o 
 
 74 
 
 6 4 .I 
 
 37- 
 
 34 
 
 116. o 
 
 67. o 
 
 94 
 
 168.0 
 
 97-o 
 
 54 
 
 220. o 
 
 127. o 
 
 15 
 
 13.0 
 
 7-5 
 
 75 
 
 65 o 
 
 37-5 
 
 35 
 
 1 16. 9 
 
 67.5 
 
 95 
 
 1 68. 9 
 
 97-5 
 
 55 
 
 220. 8 
 
 127-5 
 
 16 
 
 13-9 
 
 8.0 
 
 76 
 
 65 8 
 
 38. o 
 
 36 
 
 117. 8 
 
 68. o 
 
 96 
 
 169. 7 
 
 98. o 
 
 
 221. 7 
 
 128.0 
 
 17 
 
 I 4 .7 
 
 8.5 
 
 77 
 
 66 7 
 
 38-5 
 
 37 
 
 118. 6 
 
 68.5 
 
 97 
 
 170. 6 
 
 98.5 
 
 57 
 
 222. 6 
 
 123. 5 
 
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 5-6 
 
 9.0 
 
 78 
 
 67-5 
 
 39- o 
 
 38 
 
 119.5 
 
 69. o 
 
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 171-5 
 
 99.0 
 
 58 
 
 223.4 
 
 129. o 
 
 19 
 
 16.5 
 
 9-5 
 
 79 
 
 68 4 
 
 39-5 
 
 39 
 
 1 20. 4 
 
 69. 5 
 
 99 
 
 i"2-3 
 
 99-5 
 
 59 
 
 224-3 
 
 129. 5 
 
 20 
 
 7-3 
 
 10. o 
 
 80 
 
 ^9-3 
 
 40. o 
 
 40 
 
 121. 2 
 
 70. o 
 
 200 
 
 173-2 
 
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 60 
 
 225. 2 
 
 130. o 
 
 21 
 
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 10.5 
 
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 70 i 
 
 40.5 
 
 141 
 
 122. I 
 
 70.5 
 
 201 
 
 174. i 
 
 ioo. 5 
 
 261 
 
 226. o 
 
 ijO-5 
 
 22 
 
 19. I 
 
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 82 
 
 71.0 
 
 41.0 
 
 42 
 
 123. o 
 
 71.0 
 
 02 
 
 174-9 
 
 101. o 
 
 62 
 
 226. 9 
 
 131. o 
 
 23 
 
 19.9 
 
 11.5 
 
 83 
 
 71 9 
 
 41-5 
 
 43 
 
 123. 8 
 
 
 03 
 
 175.8 
 
 101. 5 
 
 63 
 
 227. 8 
 
 I3I-5 
 
 24 
 
 20. 8 
 
 12. O 
 
 84 
 
 T 2 7 
 
 42.0 
 
 44 
 
 124- 7 
 
 72.0 
 
 4 
 
 176. 7 
 
 102. O 
 
 64 
 
 228.6 
 
 13= o 
 
 25 
 
 21-7 
 
 12-5 
 
 85 
 
 73 6 
 
 42-5 
 
 45 
 
 125.6 
 
 72-5 
 
 05 
 
 1/7-5 
 
 1 02. 5 
 
 65 
 
 229.5 
 
 132.5 
 
 26 
 
 22-5 
 
 13.0 
 
 86 
 
 74-5 
 
 43- 
 
 46 
 
 126.4 
 
 73-0 
 
 06 
 
 178.4 
 
 103. o 
 
 66 
 
 230-4 
 
 133-0 
 
 27 
 
 -23-4 
 
 '3-5 
 
 87 
 
 75 3 
 
 43-5 
 
 47 
 
 127-3 
 
 73-5 
 
 07 
 
 i 7 9-3 
 
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 67 
 
 231. 2 
 
 133.5 
 
 28 
 
 24.2 
 
 14. o 
 
 00 
 
 OO 
 
 76 2 
 
 44- 
 
 48 
 
 128. 2 
 
 74.0 
 
 08 
 
 1 80. i 
 
 104. o 
 
 68 
 
 232. I 
 
 134- 
 
 29 
 
 25.1 
 
 14.5 
 
 89 
 
 77- i 
 
 44-5 
 
 49 
 
 129. o 
 
 74-5 
 
 09 
 
 181.0 
 
 104. 5 
 
 69 
 
 233-0 
 
 134-5 
 
 3 
 
 26. o 
 
 15.0 
 
 90 
 
 77-9 
 
 45-0 
 
 50 
 
 129. 9 
 
 75.0 
 
 10 
 
 181. 9 
 
 105. o 
 
 7 
 
 233-8 
 
 '35-o 
 
 3i 
 
 26. 8 
 
 15-5 
 
 91 
 
 78. 8 
 
 45-5 
 
 151 
 
 130.8 
 
 75-5 
 
 211 
 
 182, 7 
 
 i5-5 
 
 271 
 
 234- 7 
 
 135-5 
 
 32 
 
 27-7 
 
 1 6. o 
 
 92 
 
 79 7 
 
 46. o 
 
 S 2 
 
 131. 6 
 
 76.0 
 
 12 
 
 183.6 
 
 1 06. o 
 
 72 
 
 235- 
 
 136. o 
 
 33 
 
 28.6 
 
 16.5 
 
 93 
 
 80. 5 
 
 46.5 
 
 53 
 
 132-5 
 
 76-5 
 
 13 
 
 184.5 
 
 io6p5 
 
 73 
 
 236.4 
 
 136. 5 
 
 34 
 
 29.4 
 
 17.0 
 
 94 
 
 Si 4 
 
 47.0 
 
 54 
 
 133-4 
 
 77.0 
 
 
 185-3 
 
 107. o 
 
 74 
 
 2 37-3 
 
 137-0 
 
 35 
 
 3-3 
 
 ! 7-5 
 
 95 
 
 82.3 
 
 47-5 
 
 55 
 
 134-2 
 
 77-5 
 
 15 
 
 186.2 
 
 107-5 
 
 75 
 
 238.2 
 
 137-5 
 
 3 
 
 31-2 
 
 18. q 
 
 96 
 
 83.. 
 
 48. o 
 
 56 
 
 135-1 
 
 78.0 
 
 16 
 
 187. i 
 
 1 08. 
 
 
 230. o 
 
 ,38.0 
 
 37 
 
 32. o 
 
 18.5 
 
 97 
 
 84. o 
 
 48.5 
 
 57 
 
 136. o 
 
 78.5 
 
 17 
 
 187.9 
 
 1 08. 5 
 
 77 
 
 239-9 
 
 138-5 
 
 38 
 
 32-9 
 
 19. o 
 
 98 
 
 84.9 
 
 49-0 
 
 58 
 
 136.8 
 
 79-o 
 
 18 
 
 iSS. 8 
 
 109. o 
 
 78 
 
 240. 8 
 
 i39-o 
 
 39 
 
 33-8 
 
 19-5 
 
 99 
 
 85.7 
 
 49-5 
 
 59 
 
 137-7 
 
 79-5 
 
 '9 
 
 189-7 
 
 109.5 
 
 79 
 
 241. 6 
 
 139-5 
 
 40 
 
 34-6 
 
 20. o 
 
 loo 
 
 6. 6 
 
 50. o 
 
 60 
 
 138.6 
 
 So. o 
 
 20 
 
 190.5 
 
 110. 
 
 So 
 
 242. 5 
 
 140. o 
 
 41 
 
 35-5 
 
 20.5 
 
 101 
 
 87.5 
 
 50-5 
 
 161 
 
 139-4 
 
 So. 5 
 
 221 
 
 191.4 
 
 no. 5 
 
 281 
 
 243-4 
 
 140.5 
 
 42 
 
 3 6 -4 
 
 21. 
 
 02 
 
 88.3 
 
 51.0 
 
 62 
 
 140. 3 
 
 Si.o 
 
 22 
 
 192-3 
 
 I1I.O 
 
 82 
 
 244. 2 
 
 141. o 
 
 43 
 
 37-2 
 
 21-5 
 
 3 
 
 89.2 
 
 5i-5 
 
 63 
 
 141. 2 
 
 81.5 
 
 23 
 
 193- i 
 
 in. 5 
 
 83 
 
 245. i 
 
 141.5 
 
 44 
 
 38-1 
 
 22. O 
 
 04 
 
 go.'i 
 
 52.0 
 
 64 
 
 142. o 
 
 82.0 
 
 24 
 
 194.0 
 
 112. 
 
 84 
 
 246. o 
 
 142. o 
 
 45 
 
 39-o 
 
 22-5 
 
 o'5 
 
 90. 9 
 
 52.5 
 
 65 
 
 142.9 
 
 82.5 
 
 25 
 
 194.9 
 
 II2-5 
 
 85 
 
 246.8 
 
 142.5 
 
 46 
 
 39-8 
 
 23.0 
 
 06 
 
 91.8 
 
 53-o 
 
 66 
 
 143.8 
 
 83.0 
 
 26 
 
 195-7 
 
 II3-0 
 
 86 
 
 247- 7 
 
 143.0 
 
 47 
 
 40- 7 
 
 23-5 
 
 7 
 
 92-7 
 
 53-5 
 
 67 
 
 144.6 
 
 83-5 
 
 27 
 
 196. 6 
 
 "3-5 
 
 87 
 
 248.5 
 
 143-5 
 
 48 
 
 41.6 
 
 24. o 
 
 08 
 
 93-5 
 
 54-o 
 
 68 
 
 145-5 
 
 84.0 
 
 28 
 
 J97-5 
 
 114. o 
 
 88 
 
 249.4 
 
 144.0 
 
 49 
 
 42.4 
 
 24-5 
 
 09 
 
 94-4 
 
 54-5 
 
 69 
 
 146.4 
 
 84.5 
 
 29 
 
 198.3 
 
 114.5 
 
 89 
 
 250.3 
 
 144. 5 
 
 5 
 
 43-3 
 
 25-. o 
 
 10 
 
 91-3 
 
 55-o 
 
 7 
 
 147.2 
 
 85.0 
 
 3 
 
 199- 2 
 
 115. o 
 
 90 
 
 251.1 
 
 145.0 
 
 5' 
 
 44-2 
 
 25.5 
 
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 96. i 
 
 55-5 
 
 171 
 
 148. I 
 
 85-5 
 
 231 
 
 200. I 
 
 115.5 
 
 291 
 
 252. o 
 
 145-5 
 
 52 
 
 45-o 
 
 26. o 
 
 12 
 
 97.0 
 
 56. o 
 
 72 
 
 149.0 
 
 86.0 
 
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 200. 9 
 
 116. o 
 
 92 
 
 252.9 
 
 146. o 
 
 53 
 
 45-9 
 
 26.5 
 
 13 
 
 97-9 
 
 56.5 
 
 73 
 
 149.8 
 
 86. 5 
 
 33 
 
 201.8 
 
 116. 5 
 
 93 
 
 253-7 
 
 146.5 
 
 54 
 
 46.8 
 
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 98.7 
 
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 74 
 
 150. 7 
 
 87.0 
 
 34 
 
 202. 6 
 
 117. o 
 
 94 
 
 254.6 
 
 147-0 
 
 55 
 
 47-6 
 
 27-5 
 
 15 
 
 99.6 
 
 57-5 
 
 75 
 
 151. 6 
 
 87-5 
 
 35 
 
 203- 5 
 
 117-5 
 
 95 
 
 255-5 
 
 147-5 
 
 56 
 
 48.5 
 
 28.0 
 
 1 6 
 
 100. 5 
 
 58. o 
 
 7 
 
 152.4 
 
 88.0 
 
 36 
 
 204.4 
 
 118. o 
 
 90 
 
 2 5 6 -3 
 
 148. o 
 
 57 
 
 49-4 
 
 28.5 
 
 17 
 
 101. 3 
 
 58.5 
 
 77 
 
 153-3 
 
 88. 5 
 
 37 
 
 205. 2 
 
 118. 5 
 
 97 
 
 257.2 
 
 148.5 
 
 58 
 
 50.2 
 
 29. o 
 
 18 
 
 IO2. 2 
 
 59.0 
 
 78 
 
 154.2 
 
 89. o 
 
 38 
 
 206. I 
 
 119. o 
 
 98 
 
 258. i 
 
 149.0 
 
 59 
 
 51.1 
 
 29-5 
 
 19 
 
 103. I 
 
 59-5 
 
 79 
 
 155.0 
 
 89-5 
 
 39 
 
 207. o 
 
 119. 5 
 
 99 
 
 258.9 
 
 149-5 
 
 60 
 
 52.0 
 
 30. o 
 
 20 
 
 103.9 
 
 60. o 
 
 80 
 
 155-9 
 
 90. o 
 
 40 
 
 207.8 
 
 1 2O. O 
 
 300 
 
 259.8 
 
 150. o 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 DUt. 
 
 Dep. 
 
 Laf 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 60 Degrees. 
 
 143 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 31. 
 
 Dist. 
 
 Lat. 
 
 .Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep 
 
 I 
 
 0.9 
 
 0. S 
 
 61 
 
 52-3 
 
 31-4 
 
 121 
 
 I3-7 
 
 62.3 
 
 iSl 
 
 155.1 
 
 93- 2 
 
 24' 
 
 206. 6 
 
 124. I 
 
 2 
 
 1-7 
 
 I. O 
 
 62 
 
 53-1 
 
 3i-9 
 
 22 
 
 104. 6 
 
 62.8 
 
 82 
 
 156. o 
 
 93- 7 
 
 42 
 
 207.4 
 
 124. 6 
 
 3 
 
 2.6 
 
 i-5 
 
 63 
 
 54-0 
 
 3 2 -4 
 
 23 
 
 105.4 
 
 63-3 
 
 83 
 
 150.9 
 
 94- 3 
 
 43 
 
 208. 3 
 
 125.2 
 
 4 
 
 3-4 
 
 2. I 
 
 64 
 
 54-9 
 
 33-o 
 
 24 
 
 106. 3 
 
 63- 9 
 
 84 
 
 157-7 
 
 94.8 
 
 44 
 
 209. i 
 
 125. 7 
 
 5 
 
 4-3 
 
 2.6 
 
 65 
 
 55-7 
 
 33-5 
 
 25 
 
 107. i 
 
 64.4 
 
 85 
 
 158.6 
 
 95-3 
 
 45 
 
 210. 
 
 126. 2 
 
 6 
 
 5- ' 
 
 3- i 
 
 66 
 
 56. 6 
 
 31- 
 
 26 
 
 108. o 
 
 64-9 
 
 86 
 
 159-4 
 
 95.8 
 
 46 
 
 210. 9 
 
 126. 7 
 
 7 
 
 6. o 
 
 3-6 
 
 67 
 
 57-4 
 
 34-5 
 
 27 
 
 1 08. 9 
 
 65.4 
 
 87 
 
 160.3 
 
 96. 3 
 
 47 
 
 211. 7 
 
 127.2 
 
 8 
 
 6.9 
 
 4-1 
 
 68 
 
 SS-3 
 
 35- 
 
 28 
 
 109. 7 
 
 65.9 
 
 88 
 
 161. i 
 
 96.8 
 
 48 
 
 212. 6 
 
 127. 7 
 
 9 
 
 7-7 
 
 4.6 
 
 69 
 
 59-i 
 
 35-5 
 
 29 
 
 no. 6 
 
 66.4 
 
 89 
 
 162. o 
 
 97-3 
 
 49 
 
 213.4 
 
 128. 2 
 
 10 
 
 8.6 
 
 f.. 2 
 
 7 
 
 60. o 
 
 36.1 
 
 3 
 
 III. 4 
 
 67. o 
 
 90 
 
 162. 9 
 
 97-9 
 
 50 
 
 214. 3 
 
 1 28. S 
 
 ii 
 
 9.4 
 
 5-7 
 
 7' 
 
 60. 9 
 
 36. 6 
 
 I3 1 
 
 112.3 
 
 67.5 
 
 191 
 
 i 6 3-7 
 
 98. 4 
 
 251 
 
 215. i 
 
 129.3 
 
 12 
 
 10.3 
 
 6.2 
 
 72 
 
 61.7 
 
 37-i 
 
 32 
 
 113. i 
 
 68. o 
 
 92 
 
 164. 6 
 
 98.9 
 
 5 2 
 
 216. o 
 
 129.8 
 
 '3 
 
 ii. i 
 
 6.7 
 
 73 
 
 62.6 
 
 37-6 
 
 33 
 
 114. o 
 
 68.5 
 
 93 
 
 165.4 
 
 99-4 
 
 53 
 
 216. 9 
 
 130-3 
 
 14 
 
 12. O 
 
 7-2 
 
 74 
 
 63-4 
 
 38.1 
 
 34 
 
 114.9 
 
 69. o 
 
 94 
 
 166.3 
 
 99-9 
 
 54 
 
 217. 7 
 
 130. 8 
 
 '5 
 
 12-9 
 
 7-7 
 
 75 
 
 64-3 
 
 38.6 
 
 35 
 
 115.7 
 
 69.5 
 
 95 
 
 167. i 
 
 100. 4 
 
 55 
 
 210. 6 
 
 I3I-3 
 
 1 6 
 
 13-7 
 
 8.2 
 
 76 
 
 65.1 
 
 39- i 
 
 36 
 
 116. 6 
 
 7<s. o 
 
 96 
 
 168. o 
 
 100. 9 
 
 5 6 
 
 219. 4 
 
 131.8 
 
 7 
 
 14. 6 
 
 8.8 
 
 77 
 
 66.0 
 
 39-7 
 
 37 
 
 117.4 
 
 70. 6 
 
 97 
 
 1 68. 9 
 
 101. 5 
 
 57 
 
 220. 3 
 
 i3 2 -4 
 
 18 
 
 15.4 
 
 9-3 
 
 7 
 
 66.9 
 
 40. 2 
 
 38 
 
 118.3 
 
 71.1 
 
 9S 
 
 169.7 
 
 102. O 
 
 58 
 
 221. I 
 
 i3 2 -9 
 
 19 
 
 16.3 
 
 9.8 
 
 79 
 
 67.7 
 
 40. 7 
 
 39 
 
 119. i 
 
 71.6 
 
 99 
 
 170. 6 
 
 102. 5 
 
 59 
 
 222. O 
 
 33-4 
 
 20 
 
 17.1 
 
 10.3 
 
 80 
 
 68.6 
 
 41.2 
 
 40 
 
 120. 
 
 72- i 
 
 2CO 
 
 171.4 
 
 103. o 
 
 60 
 
 222. 9 
 
 133-9 
 
 21 
 
 18. o 
 
 10. 
 
 Si 
 
 69.4, 
 
 -#7 
 
 141 
 
 1 20. 9 
 
 72.6 
 
 201 
 
 172-3 
 
 103.5 
 
 261 
 
 223. 7 
 
 '34-4 
 
 22 
 
 18.9 
 
 ii- 3 
 
 82 
 
 70.3 
 
 42.2 
 
 42 
 
 121.7 
 
 73-1 
 
 02 
 
 173- ' 
 
 104. o 
 
 62 
 
 224. 6 
 
 134-9 
 
 23 
 
 '9-7 
 
 ii. 8 
 
 83 
 
 71.1 
 
 42. 7 
 
 43 
 
 122. 6 
 
 73- 7 
 
 03 
 
 i/4-o 
 
 104. 6 
 
 63 
 
 225.4 
 
 135-5 
 
 24 
 
 20. 6 
 
 12.4 
 
 84 
 
 72.0 
 
 43-3 
 
 44 
 
 123.4 
 
 74-2 
 
 04 
 
 174.9 
 
 105. i 
 
 64 
 
 226. 3 
 
 136. o 
 
 25 
 
 26 
 
 21.4 
 22.3 
 
 12.9 
 13-4 
 
 85 
 86 
 
 72.9 
 73-7 
 
 43-8 
 44-3 
 
 4 I 
 46 
 
 124-3 
 US- I 
 
 74-7 
 75-2 
 
 5 
 06 
 
 i;5- 7 
 176.6 
 
 105. 6 
 1 06. i 
 
 6 5 
 66 
 
 227. i 
 228. o 
 
 i3 6 -5 
 137-0 
 
 27 
 
 23.1 
 
 '3-9 
 
 87 
 
 74.6 
 
 44-8 
 
 47 
 
 126. o 
 
 75-7 
 
 7 
 
 1/7-4 
 
 106. 6 
 
 67 
 
 228. 9 
 
 37-5 
 
 28 
 
 24.0 
 
 14-4 
 
 88 
 
 75-4 
 
 45-3 
 
 48 
 
 126. 9 
 
 76.2 
 
 08 
 
 1/8.3 
 
 107.1 
 
 68 
 
 229- 7 
 
 138.0 
 
 29 
 
 24.9 
 
 14.9 
 
 89 
 
 76-3 
 
 45-8 
 
 49 
 
 127.7 
 
 76.7 
 
 09 
 
 179. i 
 
 107. 6 
 
 69 
 
 230. 6 
 
 138-5 
 
 3 
 
 25.7 
 
 '5-5 
 
 90 
 
 77- i 
 
 46.4 
 
 5 
 
 128.6 
 
 77-3 
 
 10 
 
 i So. o 
 
 108. 2 
 
 7 
 
 23'-4 
 
 139- i 
 
 3' 
 
 26.6 
 
 16. o 
 
 9i 
 
 78.0 
 
 46.9 
 
 5i 
 
 129.4 
 
 77-8 
 
 211 
 
 I So. 9 
 
 108. 7 
 
 271 
 
 232-3 
 
 139.6 
 
 32 
 
 27.4 
 
 16.5 
 
 92 
 
 78.9 
 
 47-4 
 
 S 2 
 
 i3-3 
 
 78-3 
 
 12 
 
 181. 7 
 
 log. 2 
 
 72 
 
 233-1 
 
 140. i 
 
 33 
 
 28.3 
 
 17.0 
 
 93 
 
 79-7 
 
 47-9 
 
 53 
 
 131.1 
 
 78.8 
 
 13 
 
 182.6 
 
 109.7 
 
 73 
 
 234.0 
 
 140. 6 
 
 34 
 
 29. i 
 
 '7-5 
 
 94 
 
 80.6 
 
 48.4 
 
 54 
 
 132. o 
 
 79-3 
 
 14 
 
 183.4 
 
 I 10. 2 
 
 74 
 
 234-9 
 
 141.1 
 
 35 
 
 30. o 
 
 18. o 
 
 95 
 
 81.4 
 
 48-9 
 
 55 
 
 132-9 
 
 79-8 
 
 15 
 
 184.3 
 
 1 10. 7 
 
 75 
 
 235-7 
 
 1-41. 6 
 
 3 6 
 
 30-9 
 
 18.5 
 
 96 
 
 82.3 
 
 49-4 
 
 56 
 
 133-7 
 
 80. 3 
 
 16 
 
 185. i 
 
 III. 2 
 
 76 
 
 236. 6 
 
 142. 2 
 
 37 
 
 3'- 7 
 
 19.1 
 
 97 
 
 83-1 
 
 50. o 
 
 57 
 
 134.6 
 
 80.9 
 
 i? 
 
 1 86. o 
 
 in. 8 
 
 77 
 
 237-4 
 
 142.7 
 
 38 
 
 32-6 
 
 19. 6 
 
 98 
 
 84.0 
 
 5-5 
 
 58 
 
 '35-4 
 
 81.4 
 
 18 
 
 186.9 
 
 II2.J 
 
 78 
 
 238-3 
 
 143.2 
 
 39 
 
 33-4 
 
 20. i 
 
 99 
 
 84.9 
 
 51.0 
 
 59 
 
 i3 6 -3 
 
 Si. 9 
 
 19 
 
 I8/.7 
 
 I 12. 8 
 
 79 
 
 239. i 
 
 143-7 
 
 40 
 
 34-3 
 
 20. 6 
 
 loo 
 
 85.7 
 
 5'-5 
 
 60 
 
 137- i 
 
 82.4 
 
 20 
 
 iSS. 6 
 
 "3- 3 
 
 So 
 
 240. o 
 
 144.2 
 
 4' 
 
 35- ' 
 
 21. I 
 
 101 
 
 86.6 
 
 52.0 
 
 161 
 
 138.0 
 
 82. 9 
 
 221 
 
 i S 9 . 4 
 
 113. S 
 
 281 
 
 240. 9 
 
 144-7 
 
 42 
 
 36. o 
 
 21. 6 
 
 02 
 
 87.4 
 
 52-5 
 
 62 
 
 138.9 
 
 83-4 
 
 22 
 
 19. 3 
 
 iM-3 
 
 82 
 
 241. 7 
 
 145.2 
 
 43 
 
 3 6 -9 
 
 22. I 
 
 3 
 
 88.3 
 
 53-o 
 
 63 
 
 139-7 
 
 84.0 
 
 23 
 
 191. i 
 
 114.9 
 
 83 
 
 242. 6 
 
 145.8 
 
 44 
 
 37-7 
 
 22.7 
 
 04 
 
 89. i 
 
 53-6 
 
 64 
 
 140. 6 
 
 84.5 
 
 24 
 
 192. o 
 
 115.4 
 
 84 
 
 243-4 
 
 146.3 
 
 45 
 46 
 
 38.6 
 39-4 
 
 23.2 
 23-7 
 
 5 
 
 06 
 
 90.0 
 90.9 
 
 54.1 
 54.6 
 
 11 
 
 141.4 
 142.3 
 
 85.0 
 
 85.5 
 
 25 
 
 26 
 
 192.9 
 "93-7 
 
 115. 9 
 116. 4 
 
 g 
 
 244- 3 
 245. i 
 
 146.8 
 147-3 
 
 47 
 
 4-3 
 
 24.2 
 
 7 
 
 9i- 7 
 
 55- i 
 
 67 
 
 143- i 
 
 86.0 
 
 27 
 
 194.6 
 
 116. 9 
 
 87 
 
 246. o 
 
 147.8 
 
 48 
 
 41.1 
 
 24.7 
 
 08 
 
 92. 6 
 
 55-6 
 
 68 
 
 144.0 
 
 86. s 
 
 28 
 
 195-4 
 
 117.4 
 
 88 
 
 246.9 
 
 148.3 
 
 49 
 
 42.0 
 
 25.2 
 
 09 
 
 93-4 
 
 56., 
 
 69 
 
 144.9 
 
 87.0 
 
 29 
 
 196.3 
 
 117.9 
 
 89 
 
 247- 7 
 
 148.8 
 
 5 
 
 42.9 
 
 2 5 .8 
 
 10 
 
 94-3 
 
 56.7 
 
 70 
 
 145-7 
 
 87.6 
 
 30 
 
 197. i 
 
 118. 5 
 
 90 
 
 248. 6 
 
 149. 4 
 
 5 1 
 
 43-7 
 
 26.3 
 
 in 
 
 95-i 
 
 57-2 
 
 7' 
 
 146. 6 
 
 SS. i 
 
 23' 
 
 198. o 
 
 119. o 
 
 291 
 
 249.4 
 
 149.9 
 
 52 
 
 44- 6 
 
 26.8 
 
 12 
 
 96. o 
 
 57-7 
 
 7 2 
 
 147.4 
 
 88.6 
 
 3 2 
 
 198.9 
 
 119. 5 
 
 92 
 
 250-3 
 
 150.4 
 
 53 
 
 45-4 
 
 27-3 
 
 13 
 
 96.9 
 
 58.2 
 
 73 
 
 148.3 
 
 89.1 
 
 33 
 
 199- 7 
 
 120. 
 
 93 
 
 251.2 
 
 150-9 
 
 54 
 
 46-3 
 
 2 7 .8 
 
 '4 
 
 97- 7 
 
 58.7 
 
 74 
 
 149. i 
 
 89.6 
 
 34 
 
 200. 6 
 
 120. 5 
 
 94 
 
 252. o 
 
 151.4 
 
 55 
 
 47.1 
 
 28.3 
 
 15 
 
 98.6 
 
 59-2 
 
 75 
 
 150. o 
 
 90. i 
 
 55 
 
 201. 4 
 
 121. 
 
 95 
 
 252.9 
 
 151.9 
 
 56 
 
 48.0 
 
 28.8 
 
 16 
 
 99-4 
 
 59-7 
 
 76 
 
 150.9 
 
 90. b 
 
 36 
 
 202.3 
 
 121. 5 
 
 96 
 
 253- 7 
 
 152.5 
 
 57 
 
 48.9 
 
 29.4 
 
 17 
 
 100. 3 
 
 60.3 
 
 77 
 
 151.7 
 
 9 1.2 
 
 37 
 
 203. I 
 
 122. I 
 
 97 
 
 254.6 
 
 153.0 
 
 58 
 
 49-7 
 
 29.9 
 
 18 
 
 IOI. I 
 
 60.8 
 
 78 
 
 152. 6 
 
 91.7 
 
 38 
 
 204, o 
 
 122. 6 
 
 98 
 
 255-4 
 
 153-5 
 
 59 
 
 50. 6 
 
 3-4 
 
 19 
 
 102. O 
 
 61.3 
 
 79 
 
 153-4 
 
 92. 2 
 
 39 
 
 204.9 
 
 123. I 
 
 99 
 
 256-3 
 
 154.0 
 
 60 
 
 51.4 
 
 3-9 
 
 20 
 
 102. 9 
 
 61.8 
 
 So 
 
 154-3 
 
 92.7 
 
 4 
 
 205. 7 
 
 123.6 
 
 300 
 
 257. i 
 
 154-5 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 59 Degrees. 
 
 144 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 32. 
 
 Dlst 
 
 I-at 
 
 Dep. 
 
 Dlst 
 
 Lit 
 
 Dep. 
 
 Dlst 
 
 Lat 
 
 Dep. 
 
 Dlst 
 
 Lit 
 
 Dep. 
 
 DIM. 
 
 Lat 
 
 Dop. 
 
 I 
 
 0.8 
 
 0. 5 
 
 6l 
 
 5'- 7 
 
 3 2 - 3 
 
 121 
 
 102. 6 
 
 64. I 
 
 i Si 
 
 '53-5 
 
 95- 9 
 
 241 
 
 204. 4 
 
 127.7 
 
 2 
 
 '7 
 
 I. 1 
 
 62 
 
 52.6 
 
 3 2 -9 
 
 22 
 
 103. 5 
 
 64. 7 
 
 82 
 
 '54-3 
 
 96. 4 
 
 42 
 
 205. 2 
 
 128. 2 
 
 3 
 
 2-5 
 
 1.6 
 
 63 
 
 53-4 
 
 33-4 
 
 23 
 
 '4- 3 
 
 6 5 .2 
 
 83 
 
 155.2 
 
 97.0 
 
 43 
 
 206. I 
 
 128.8 
 
 4 
 
 3-4 
 
 2. I 
 
 64 
 
 54-3 
 
 3J- 9 
 
 24 
 
 105. 2 
 
 6 5-7 
 
 84 
 
 156. o 
 
 97-5 
 
 44 
 
 206. 9 
 
 ':9-3 
 
 5 
 
 4-2 
 
 2.6 
 
 65 
 
 55- ' 
 
 34-4 
 
 2 5 
 
 106. o 
 
 66.2 
 
 85 
 
 156.9 
 
 98. o 
 
 45 
 
 207.8 
 
 129.8 
 
 5 
 
 5- ' 
 
 3-2 
 
 66 
 
 56. o 
 
 35-o 
 
 2& 
 
 1 06. 9 
 
 66. 8 
 
 86 
 
 '57 7 
 
 98. 6 
 
 46 
 
 208. 6 
 
 130.4 
 
 7 
 
 5-9 
 
 3-7 
 
 67 
 
 56.8 
 
 35-5 
 
 27 
 
 107. 7 
 
 67.3 
 
 87 
 
 158. 6 
 
 99- ' 
 
 47 
 
 209. 5 
 
 130.9 
 
 8 
 
 6.8 
 
 4.2 
 
 68 
 
 57- 7 
 
 36. o 
 
 28 
 
 108. 6 
 
 67.8 
 
 88 
 
 159. 4 
 
 99. 6 
 
 48 
 
 210. 3 
 
 131.4 
 
 9 
 
 7.6 
 
 4.8 
 
 69 
 
 58-5 
 
 36. 6 
 
 29 
 
 109.4 
 
 68.4 
 
 89 
 
 160. 3 
 
 IOO. 2 
 
 49 
 
 211. 2 
 
 131.9 
 
 10 
 
 8-5 
 
 5-3 
 
 7 
 
 59-4 
 
 37-' 
 
 3 
 
 no. 2 
 
 68.9 
 
 90 
 
 161 i 
 
 loo. 7 
 
 5 
 
 212. O 
 
 32-5 
 
 II 
 
 9-3 
 
 5. 8 
 
 7' 
 
 60. 2 
 
 37-6 
 
 '3' 
 
 in. i 
 
 69. 4 
 
 191 
 
 Ib2 O 
 
 IOI. 2 
 
 251 
 
 212. 9 
 
 133. o 
 
 12 
 
 10. 2 
 
 6.4 
 
 72 
 
 61. i 
 
 
 3 2 
 
 in. 9 
 
 69. 9 
 
 92 
 
 162. 8 
 
 loi. 7 
 
 52 
 
 213. 7 
 
 '33-5 
 
 '3 
 
 II. 
 
 6.9 
 
 73 
 
 61.9 
 
 3S.7 
 
 33 
 
 112. 8 
 
 70.5 
 
 93 
 
 163. 7 
 
 102. i 
 
 53 
 
 214. 6 
 
 '34- ' 
 
 14 
 
 II.9 
 
 7-4 
 
 74 
 
 62. 8 
 
 39-2 
 
 34 
 
 113. 6 
 
 71 o 
 
 94 
 
 '64- 5 
 
 102 8 
 
 54 
 
 215.4 
 
 '34-6 
 
 15 
 
 1 6 
 
 12.7 
 '3-6 
 
 7-9 
 8-5 
 
 75 
 7 6 
 
 63. 6 
 64.5 
 
 39- 7 
 40. 3 
 
 9 
 
 "4- 5 
 115.3 
 
 7'-5 
 
 72. i 
 
 9 
 
 165. 4 
 166. 2 
 
 I0 3- 3 
 103. 9 
 
 55 
 
 216.3 
 217 i 
 
 '35-' 
 '35-7 
 
 '7 
 
 '4-4 
 
 9.0 
 
 77 
 
 65.3 
 
 40.8 
 
 37 
 
 116. 2 
 
 72.6 
 
 97 
 
 167. i 
 
 104. 4 
 
 57 
 
 217.0 
 
 136. 2 
 
 18 
 
 "5-3 
 
 9-5 
 
 
 66. i 
 
 4'-3 
 
 38 
 
 117. o 
 
 73- ' 
 
 98 
 
 167 9 
 
 104. 9 
 
 58 
 
 218. 
 
 '3 6 -7 
 
 >9 
 
 1 6. i 
 
 10. I 
 
 79 
 
 67. o 
 
 41.9 
 
 39 
 
 "7-9 
 
 73- 7 
 
 99 
 
 168. 8 
 
 105. 5 
 
 59 
 
 219. 6 
 
 '37- 2 
 
 20 
 
 17.0 
 
 10. 6 
 
 80 
 
 67.8 
 
 42. 4 
 
 4 
 
 118. 7 
 
 74-2 
 
 200 
 
 169. 6 
 
 106. o 
 
 60 
 
 220. 5 
 
 137.8 
 
 21 
 
 17.8 
 
 11. i 
 
 81 
 
 68. 7 
 
 42-9 
 
 141 
 
 119. 6 
 
 74- 7 
 
 201 
 
 170. 5 
 
 106. 5 
 
 261 
 
 221.3 
 
 38-3 
 
 22 
 
 18.7 
 
 11.7 
 
 82 
 
 69. 5 
 
 43-5 
 
 42 
 
 120. 4 
 
 75-2 
 
 02 
 
 '7'-3 
 
 107 o 
 
 62 
 
 222. 2 
 
 138.8 
 
 23 
 
 '9-5 
 
 12. 2 
 
 83 
 
 TO- 4 
 
 ^^. o 
 
 43 
 
 121.3 
 
 -i' 8 
 
 03 
 
 172. 2 
 
 107. 6 
 
 63 
 
 223. o 
 
 '39- 4 
 
 24 
 
 20.4 
 
 12.7 
 
 84 
 
 7'.2 
 
 44-5 
 
 44 
 
 122. I 
 
 
 04 
 
 '73-0 
 
 108. i 
 
 64 
 
 223.9 
 
 '39-9 
 
 25 
 
 21. 2 
 
 '3-2 
 
 85 
 
 72. i 
 
 45- 
 
 45 
 
 123. o 
 
 76. 8 
 
 05 
 
 '73-8 
 
 1 08. 6 
 
 65 
 
 224. 7 
 
 140. 4 
 
 20 
 
 22. O 
 
 13.8 
 
 86 
 
 72.9 
 
 45. 6 
 
 46 
 
 123. 8 
 
 77-4 
 
 06 
 
 '74- 7 
 
 109. 2 
 
 66 
 
 225. 6 
 
 141. o 
 
 27 
 
 22. 9 
 
 '4- 3 
 
 87 
 
 73-8 
 
 46. i 
 
 47 
 
 124. 7 
 
 77-9 
 
 z 
 
 '75-5 
 
 109. 7 
 
 67 
 
 226. 4 
 
 141.5 
 
 28 
 
 23- 7 
 
 14-8 
 
 88 
 
 74-6 
 
 46.6 
 
 48 
 
 I2 5-5 
 
 78.4 
 
 08 
 
 176. 4 
 
 I IO. 2 
 
 68 
 
 227- 3 
 
 142. o 
 
 29 
 
 24. 6 
 
 15.4 
 
 89 
 
 75-5 
 
 47.2 
 
 49 
 
 126.4 
 
 79-o 
 
 09 
 
 177.2 
 
 1 10. 8 
 
 69 
 
 228. i 
 
 142. 5 
 
 3 
 
 25.4 
 
 15.9 
 
 90 
 
 76.3 
 
 47-7 
 
 5 
 
 127. 2 
 
 79-5 
 
 IO 
 
 178. i 
 
 111.3 
 
 7 
 
 229. o 
 
 143. i 
 
 3' 
 
 26. 3 
 
 16. 4 
 
 9' 
 
 77-2 
 
 48. 2 
 
 151 
 
 128. I 
 
 So. o 
 
 211 
 
 178.9 
 
 in. 8 
 
 271 
 
 229. 8 
 
 143.6 
 
 32 
 
 27. I 
 
 17.0 
 
 92 
 
 78.0 
 
 48. 8 
 
 5 2 
 
 128. 9 
 
 80.5 
 
 12 
 
 179.8 
 
 112. 3 
 
 72 
 
 230. 7 
 
 144. i 
 
 33 
 
 28.0 
 
 '7-5 
 
 93 
 
 78.9 
 
 49- 3 
 
 53 
 
 129. 8 
 
 81. i 
 
 '3 
 
 1 80. 6 
 
 112. 9 
 
 73 
 
 23'- 5 
 
 '44- 7 
 
 34 
 
 28.8 
 
 18. o 
 
 94 
 
 79- 7 
 
 49. 8 
 
 54 
 
 130. 6 
 
 81.6 
 
 '4 
 
 181. 5 
 
 "3-4 
 
 74 
 
 232 4 
 
 145. 2 
 
 i 
 
 29.7 
 
 3-5 
 
 18.5 
 19. I 
 
 9 
 
 80.6 
 81.4 
 
 5-3 
 50. 9 
 
 55 
 5 
 
 131. 4 
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 82. i 
 82.7 
 
 15 
 
 1 6 
 
 182. 3 
 183. 2 
 
 113. 9 
 "4- 5 
 
 9 
 
 2 33-2 
 234.1 
 
 '45- 7 
 146.3 
 
 37 
 
 3'-4 
 
 19. 6 
 
 97 
 
 82.3 
 
 51.4 
 
 57 
 
 '33- ' 
 
 83.2 
 
 '7 
 
 184. o 
 
 115.0 
 
 77 
 
 234.9 
 
 146.8 
 
 38 
 
 32-2 
 
 20. i 
 
 98 
 
 83-' 
 
 5'- 9 
 
 58 
 
 '34-0 
 
 83-7 
 
 18 
 
 184.9 
 
 "5-5 
 
 78 
 
 2 35-8 
 
 147-3 
 
 39 
 
 33- ' 
 
 20. 7 
 
 99 
 
 84. o 
 
 5 2 -5 
 
 59 
 
 '34-8 
 
 84.3 
 
 '9 
 
 185.7 
 
 
 79 
 
 236. 6 
 
 147.8 
 
 40 
 
 33-9 
 
 21. 2 
 
 IOO 
 
 84.8 
 
 53-0 
 
 60 
 
 '35-7 
 
 84.8 
 
 20 
 
 1 86. 6 
 
 116. b 
 
 80 
 
 237-5 
 
 148.4 
 
 4' 
 
 34-8" 
 
 2'-7 
 
 IOI 
 
 85.7 
 
 53-5 
 
 161 
 
 136-5 
 
 85-3, 
 
 221 
 
 187. 4 
 
 117. I 
 
 281 
 
 238-3 
 
 148.9 
 
 42 
 
 35-6 
 
 22. 3 
 
 02 
 
 86.5 
 
 54- ' 
 
 62 
 
 '37-4 
 
 85. 
 
 22 
 
 188.3 
 
 1 17. 6 
 
 82 
 
 239- ' 
 
 149.4 
 
 43 
 
 36.5 
 
 22. 8 
 
 3 
 
 87-3 
 
 54-6 
 
 63 
 
 138. 2 
 
 86.4 
 
 2 3 
 
 189. i 
 
 I I 8. 2 
 
 83 
 
 240. o 
 
 150. o 
 
 44 
 
 37- 3 
 
 23-3 
 
 04 
 
 88.2 
 
 55- ' 
 
 64 
 
 '39- ' 
 
 86.9 
 
 24 
 
 190. o 
 
 118. 7 
 
 84 
 
 240. 8 
 
 150.5 
 
 45 
 
 38/2 
 
 23-8 
 
 
 89. o 
 
 
 
 139.9 
 
 87.4 
 
 2( 
 
 190. 8 
 
 119. 2 
 
 85 
 
 241.7 
 
 151. o 
 
 46 
 
 39-0 
 
 24.4 
 
 00 
 
 89-9 
 
 56. 2 
 
 66 
 
 140. 8 
 
 88.0 
 
 26 
 
 191. 7 
 
 119. 8 
 
 86 
 
 242. 5 
 
 151. 6 
 
 47 
 
 39-9 
 
 24.9 
 
 07 
 
 90. 7 
 
 56.7 
 
 67 
 
 141. 6 
 
 88.5 
 
 2 7 
 
 192.5 
 
 120. 3 
 
 87 
 
 243- 4 
 
 152.1 
 
 48 
 
 4- 7 
 
 25.4 
 
 08 
 
 91. 6 
 
 57-2 
 
 68 
 
 142.5 
 
 89.0 
 
 28 
 
 '93- 4 
 
 120. 8 
 
 88 
 
 244- 2 
 
 152. 6 
 
 49 
 
 41.6 
 
 26. o 
 
 09 
 
 92.4 
 
 57-8 
 
 69 
 
 '43-3 
 
 89.6 
 
 29 
 
 '94- 2 
 
 121. 4 
 
 89 
 
 245- ' 
 
 '53- > 
 
 5 
 
 42.4 
 
 26.5 
 
 10 
 
 93-3 
 
 58. 3 
 
 70 
 
 144. 2 
 
 90. i 
 
 3 
 
 195. i 
 
 121. 9 
 
 90 
 
 2 45-9 
 
 '53- 7 
 
 5' 
 
 43-3 
 
 27.0 
 
 III 
 
 94- ' 
 
 58. 8 
 
 '7' 
 
 145.0 
 
 90. 6 
 
 23' 
 
 195.9 
 
 122.4 
 
 291 
 
 246.8 
 
 154-2- 
 
 S 2 
 
 44- ' 
 
 27. 6 
 
 12 
 
 95.0 
 
 59-4 
 
 72 
 
 '45- 9 
 
 91.1 
 
 32 
 
 196. 7 
 
 122. 9 
 
 92 
 
 247.6 
 
 154-7 
 
 S3 
 
 44- 9 
 
 28 i 
 
 '3 
 
 95.8 
 
 59-9 
 
 73 
 
 146.7 
 
 91.7 
 
 33 
 
 197.6 
 
 ' 2 3-5 
 
 93 
 
 248-5 
 
 '55-3 
 
 54 
 55 
 
 45.8 
 46.6 
 
 28. 6 
 29. i 
 
 '4 
 15 
 
 96. 7 
 97-5 
 
 60.4 
 60. 9 
 
 74 
 
 147-6 
 148.4 
 
 92. 2 
 92.7 
 
 34 
 35 
 
 198.4 
 '99- 3 
 
 124. o 
 124. 5 
 
 94 
 95 
 
 249- 3 
 
 250. 2 
 
 155.8 
 
 '5 6 - 3 
 
 5 
 
 47- 5 
 
 29. 7 
 
 16 
 
 98-4 
 
 61.5 
 
 7 
 
 '49- 3 
 
 93-3 
 
 3 6 
 
 200. i 
 
 125. 1 
 
 96 
 
 251.0 
 
 156.9 
 
 57 
 
 48- 3 
 
 30.2 
 
 '7 
 
 99. 2 
 
 62. o 
 
 77 
 
 150. i 
 
 93-8 
 
 37 
 
 201 O 
 
 125. 6 
 
 97 
 
 251.9 
 
 '57-4 
 
 58 
 
 49- 2 
 
 3-7 
 
 18 
 
 IOO. I 
 
 62.5 
 
 78 
 
 151. o 
 
 94-3 
 
 38 
 
 201.8 
 
 126. I 
 
 98 
 
 252.7 
 
 '57-9 
 
 59 
 
 50. o 
 
 31. 3 
 
 '9 
 
 100. o 
 
 63.' 
 
 Z 9 
 
 151. 8 
 
 94-9 
 
 39 
 
 202. 7 
 
 r2b. 7 
 
 99 
 
 253.6 
 
 158.4 
 
 BO 
 
 50.9 
 
 3'.8 
 
 20 
 
 lol. 8 
 
 63.6 
 
 So 
 
 152. 6 
 
 95-4 
 
 40 
 
 203.5 
 
 127.2 
 
 300 
 
 254.4 
 
 159.0 
 
 Dbt 
 
 Dep, 
 
 Lat 
 
 Dlst 
 
 Dep. 
 
 Let 
 
 Dikt 
 
 Dep. 
 
 Lat 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dlst 
 
 Dep. 
 
 I ^t 
 
 [For 58 Degrees.' 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 33. 
 
 Dlst 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.8 
 
 0-5 
 
 61 
 
 51.2 
 
 33-2 
 
 121 
 
 101. 5 
 
 65.9 
 
 181 
 
 151. 8 
 
 98.6 
 
 241 
 
 202. 1 
 
 I3L3 
 
 2 
 
 i. 7 
 
 I. I 
 
 62 
 
 52.0 
 
 33-8 
 
 22 
 
 102.3 
 
 66.4 
 
 82 
 
 152. 6 
 
 99-1 
 
 42 
 
 203. o 
 
 131.8 
 
 3 
 
 2-5 
 
 1.6 
 
 63 
 
 5 2.8 
 
 34-3 
 
 *3 
 
 103. 2 
 
 67. o 
 
 83 
 
 153-5 
 
 99-7 
 
 43 
 
 203.8 
 
 132.3 
 
 4 
 
 3-4 
 
 2.2 
 
 64 
 
 53-7 
 
 34-9 
 
 24 
 
 IO4.O 
 
 67.5 
 
 84 
 
 154-3 
 
 ipo. 2 
 
 44 
 
 204. 6 
 
 132.9 
 
 5 
 
 4-2 
 
 2-7 
 
 65 
 
 54-5 
 
 35-4 
 
 25 
 
 104.8 
 
 68.1 
 
 85 
 
 155.2 
 
 loo. 8 
 
 45 
 
 205-5 
 
 133-4 
 
 6 
 
 5-o 
 
 3-3 
 
 66 
 
 55-4 
 
 35-9 
 
 26 
 
 105.7 
 
 68.6 
 
 So 
 
 156. o 
 
 101.3 
 
 46 
 
 206.3 
 
 134.0 
 
 7 
 
 5-9 
 
 3-8 
 
 6 l 
 
 56. 2 
 
 36-5 
 
 27 
 
 106. 5 
 
 69. 2 
 
 87 
 
 156.8 
 
 101. 8 
 
 47 
 
 207. 2 
 
 134-5 
 
 8 
 
 6-7 
 
 4-4 
 
 68 
 
 57-o 
 
 37-o 
 
 28 
 
 107. 3 
 
 69.7 
 
 88 
 
 157-7 
 
 102. 4 
 
 48 
 
 208. o 
 
 I35-I 
 
 9 
 
 10 
 
 5 
 
 4-9 
 
 5-4 
 
 69 
 70 
 
 57-9 
 58.7 
 
 37-6 
 
 29 
 30 
 
 108.2 
 109. o 
 
 70-3 
 70.8 
 
 89 
 90 
 
 158.5 
 159-3 
 
 102. 9 
 
 49 
 
 208.8 
 209.7 
 
 135-6 
 
 136. 2 
 
 II 
 
 9-2 
 
 6.0 
 
 71 
 
 59-5 
 
 3-7 
 
 131 
 
 109.9 
 
 71-3 
 
 191 
 
 lt>0. 2 
 
 104. o 
 
 251 
 
 210. 5 
 
 136-7 
 
 12 
 
 10. I 
 
 6-5 
 
 72 
 
 60.4 
 
 39-2 
 
 32 
 
 no. 7 
 
 71.9 
 
 92 
 
 161. o 
 
 104.6 
 
 S 2 
 
 211. 3 
 
 137-2 
 
 13 
 
 10.9 
 
 
 73 
 
 61.2 
 
 39-8 
 
 33 
 
 111.5 
 
 72-4 
 
 93 
 
 161.9 
 
 105. 1 
 
 53 
 
 212. 2 
 
 137-8 
 
 14 
 
 ii. 2 
 
 l' 6 
 
 74 
 
 62.1 
 
 40-3 
 
 34 
 
 112.4 
 
 73-o 
 
 94 
 
 162. 7 
 
 105-7 
 
 54 
 
 213.0 
 
 138.3 
 
 15 
 
 12.6 
 
 8.2 
 
 75 
 
 62.9 
 
 40. 8 
 
 
 113-2 
 
 73-5 
 
 
 '63-S 
 
 1 06. 2 
 
 55 
 
 213. 9 
 
 138.9 
 
 1,6 
 
 13-4 
 
 8-7 
 
 76 
 
 63-7 
 
 41'. 4 
 
 3 
 
 114.1 
 
 74-1 
 
 96 
 
 164.4 
 
 106. 7 
 
 S 6 
 
 214.7 
 
 139-4 
 
 17 
 
 14-3 
 
 9-3 
 
 77 
 
 64.6 
 
 41.9 
 
 37 
 
 114.9 
 
 74-6 
 
 97 
 
 165.3 
 
 107-3 
 
 57 
 
 215-5 
 
 140.0 
 
 IS 
 
 15.1 
 
 9-8 
 
 78 
 
 65.4 
 
 42.5 
 
 38 
 
 115.7 
 
 75-2 
 
 98 
 
 1 66. I 
 
 107.8 
 
 5 
 
 216.4 
 
 140.5 
 
 19 
 
 20 
 
 15-9 
 16.8 
 
 10.3 
 ro. 9 
 
 e 
 
 66.3 
 67.1 
 
 43- P 
 43- 6 
 
 39 
 40 
 
 lib, 6 
 
 117.4 
 
 9.1 
 
 99 
 
 200 
 
 166.9 
 167.7 
 
 108.4 
 108.9 
 
 
 217. 2 
 2I& I 
 
 141. I 
 
 141. 6 
 
 21 
 
 17.6 
 
 11.4 
 
 81 
 
 67.9 
 
 44- i 
 
 141 
 
 118.3 
 
 76. 8~ 
 
 201 
 
 168. 6 
 
 109.5 
 
 261 
 
 218. 9 
 
 142. 2 
 
 22 
 
 18.5 
 
 12. O 
 
 82 
 
 68.8 
 
 44- 7 
 
 42 
 
 119. i 
 
 77-3 
 
 O2 
 
 169.4 
 
 IIO. 
 
 62 
 
 219.7 
 
 142.7 
 
 23 
 
 19-3 
 
 12-5 
 
 83 
 
 69.6 
 
 45-2 
 
 43 
 
 119.9 
 
 77-9 
 
 03 
 
 I70-3 
 
 no. 6 
 
 63 
 
 220. 6 
 
 143- * 
 
 24 
 
 20. I 
 
 13- I 
 
 84 
 
 70.4 
 
 45-7 
 
 44 
 
 1 20. 8 
 
 78.4 
 
 04 
 
 171.1 
 
 ill. 1 
 
 64 
 
 221.4 
 
 14^.8 
 
 % 
 
 21.0 
 21.8 
 
 13-6 
 
 14. 2 
 
 II 
 
 71-3 
 72.1 
 
 46-3, 
 46.8 
 
 4 2 
 46 
 
 121. 6 
 
 122.4 
 
 79-o 
 79-5 
 
 05 
 06 
 
 171.9 
 
 172. 2 
 
 111.7 
 
 112. 2 
 
 s 
 
 222. 2 
 223. I 
 
 144-3 
 144-9 
 
 27 
 
 22.6 
 
 14-7 
 
 87 
 
 73-o 
 
 47-4 
 
 47 
 
 123-3 
 
 80. i 
 
 07 
 
 173-6 
 
 112. 7 
 
 67 
 
 223.0 
 
 145.4 
 
 29 
 
 23-5 
 
 15-2 
 
 88 
 
 73-8 
 
 47-9 
 
 4 
 
 124. i 
 
 80.6 
 
 08 
 
 174.4 
 
 113-3 
 
 68 
 
 224.8 
 
 146. o 
 
 29 
 
 24-3 
 
 15-8 
 
 89 
 
 74-6 
 
 48.5 
 
 49 
 
 125.0 
 
 81.2 
 
 09 
 
 175-3 
 
 II3-8 
 
 69 
 
 225. 6 
 
 146.5 
 
 30 
 
 25. 2 
 
 I6. 3 
 
 90 
 
 75-5 
 
 49-0 
 
 5 
 
 125.8 
 
 81.7 
 
 10 
 
 176. I 
 
 II4.4 
 
 70 
 
 226.4 
 
 147- ' 
 
 32 
 
 26.0 
 26.8 
 
 16.9 
 
 17.4 
 
 92 
 
 76-3 
 77-2 
 
 49-6 
 50.1 
 
 151 
 
 52 
 
 126.6 
 127-5 
 
 82.2 
 82.8 
 
 211 
 
 12 
 
 177.0 
 177,8 
 
 II4.9 
 II5.5 
 
 271 
 
 72 
 
 327.3 
 228. i 
 
 147.6 
 148. 1 
 
 33 
 
 27-7 
 
 18.0 
 
 93 
 
 78.0 
 
 50.7 
 
 53 
 
 128.3 
 
 83-3 
 
 13 
 
 178.6 
 
 1 1 6. o 
 
 73 
 
 229.0 
 
 148.7 
 
 34 
 
 28.5 
 
 18.5 
 
 94 
 
 78.8 
 
 51-2 
 
 54 
 
 129. 2 
 
 83-9 
 
 14 
 
 179-5 
 
 116.6 
 
 74 
 
 329. 8 
 
 149.2 
 
 
 29-4 
 30.2 
 
 19.6 
 
 9 
 
 80.5 
 
 Si-7 
 52.3 
 
 55 
 S 6 
 
 130.0 
 130.8 
 
 84.4 
 85.0 
 
 3 
 
 '180.3 
 
 181. 2 
 
 117.1 
 117. 6 
 
 75 
 76 
 
 230. 6 
 231-5 
 
 149.8 
 150-3 
 
 3Z 
 
 31.0 
 
 20.2 
 
 97 
 
 81.4 
 
 52-8 
 
 57 
 
 131.7 
 
 85.5 
 
 17 
 
 182.0 
 
 118.2 
 
 77 
 
 232-3 
 
 150.9 
 
 3 
 
 31.9 
 
 20. 7 
 
 98 
 
 82.2 
 
 53-4 
 
 58 
 
 I32-5 
 
 86. i 
 
 18 
 
 182.8 
 
 118. 7 
 
 78 
 
 233-2 
 
 151.4 
 
 39 
 40 
 
 32-7 
 
 33-5 
 
 21. 2 
 21.8 
 
 99 
 
 IOO 
 
 83.0 
 
 53-9 
 
 '54-5 
 
 
 
 133-3 
 134-2 
 
 86.6 
 87.1 
 
 19 
 
 20 
 
 183.7 
 184.5 
 
 "9-3 
 119.8 
 
 g 
 
 234-0 
 234.8 
 
 152.0 
 
 152.5 
 
 41 
 
 34-4 
 
 22. 3 
 
 101 
 
 84-7 
 
 55-0 
 
 161 
 
 135-0 
 
 87.7 
 
 221 
 
 185.3 
 
 1 20. 4 
 
 281 
 
 235-7 
 
 153-0 
 
 42 
 
 35-2 
 
 22.9 
 
 02 
 
 85-5 
 
 55-6 
 
 62 
 
 135-9 
 
 88.2 
 
 22 
 
 186.2 
 
 120. 9 
 
 83 
 
 236-5 
 
 153- 6. 
 
 43 
 
 36-1 
 
 23-4 
 
 03 
 
 86.4 
 
 56.1 
 
 63 
 
 
 88.8 
 
 23 
 
 187.0 
 
 121.5 
 
 83 
 
 237-3 
 
 I54-I 
 
 44 
 
 36-9 
 
 24.0 
 
 04 
 
 87.2 
 
 56.6 
 
 64 
 
 137-5 
 
 89-3 
 
 24 
 
 187.9 
 
 122. 
 
 84 
 
 238.2 
 
 154-7 
 
 45 
 
 37,- 7 
 
 24. 5 
 
 
 88.1 
 
 57-2 
 
 65 
 
 138.4 
 
 89-9 
 
 25 
 
 188.7 
 
 122.5 
 
 85 
 
 239.0 
 
 If?. 2 
 
 46 
 
 38.6 
 
 25-1 
 
 oo 
 
 88.9 
 
 57-7 
 
 66 
 
 139.2 
 
 90.4 
 
 26 
 
 189.5 
 
 I23-I 
 
 So 
 
 239-9 
 
 155-8 
 
 47 
 
 39-4 
 
 25.6 
 
 07 
 
 89.7 
 
 58-3, 
 
 67 
 
 140. I 
 
 91.0 
 
 27 
 
 190.4 
 
 123.6 
 
 7 
 
 240-7 
 
 156.3 
 
 48 
 
 4- 3 
 
 26. i 
 
 OB 
 
 90-. 6 
 
 58.8 
 
 68 
 
 140.9 
 
 91.5 
 
 28 
 
 191. 2 
 
 124. 2 
 
 3 
 
 441.5 
 
 I5.9 
 
 49 
 
 41. i 
 
 26.7 
 
 09 
 
 91.4 
 
 59-4 
 
 69 
 
 141. 7 
 
 92. o 
 
 29 
 
 192. I 
 
 124.7 
 
 89 
 
 242.4 
 
 157-4 
 
 50 
 
 41.9 
 
 27.2 
 
 10 
 
 92-3 
 
 59-9 
 
 70 
 
 142. 6 
 
 92. 6 
 
 3 
 
 192.9 
 
 125-3 
 
 CO 
 
 243.2 
 
 157-9 
 
 Si 
 
 42.8 
 
 27.8 
 
 III 
 
 93-1 
 
 60.5 
 
 171 
 
 143-4 
 
 93-1 
 
 231 
 
 193-7 
 
 125.8 
 
 391 
 
 244-1 
 
 158.5 
 
 52 
 
 43-6 
 
 28.3 
 
 12 
 
 93-9 
 
 61. o 
 
 72 
 
 144-3 
 
 93-7 
 
 
 194.6 
 
 126. 4 
 
 92 
 
 244.9 
 
 IS9-0 
 
 53 
 
 44-4 
 
 28.9 
 
 13 
 
 94-8 
 
 61.5 
 
 73 
 
 145.1 
 
 94-2 
 
 33 
 
 195.4 
 
 126.9 
 
 93 
 
 245-7 
 
 159. 6 
 
 54 
 
 45-3 
 
 29-4 
 
 14 
 
 95-6 
 
 62. I 
 
 74 
 
 J45-9 
 
 94-8 
 
 34 
 
 196. 2 
 
 127. 4 
 
 94 
 
 346. 6 
 
 160. i 
 
 55 
 
 46.1 
 
 30. o 
 
 15 
 
 96.4 
 
 62.6 
 
 75 
 
 146.8 
 
 95-3 
 
 35 
 
 197. I 
 
 128.0 
 
 95 
 
 247-4 
 
 160. 7 
 
 5 6 
 
 47-o 
 
 30-5 
 
 16 
 
 97-3 
 
 63. 2 
 
 76 
 
 147.6 
 
 95-9 
 
 36 
 
 197.9 
 
 128.5 
 
 96 
 
 248. 2 
 
 iSl. 2 
 
 57 
 
 47.8 
 
 31.0 
 
 17 
 
 98.1 
 
 63-7 
 
 77 
 
 148.4 
 
 96.4 
 
 37 
 
 198.8 
 
 129. I 
 
 97 
 
 49- I 
 
 161. 8 
 
 S 8 
 
 48.6 
 
 31-6 
 
 IB 
 
 99.0 
 
 64-3 
 
 78 
 
 149-3 
 
 96.9 
 
 38 
 
 199.6 
 
 129. 6 
 
 98 
 
 249.0 
 
 162.3 
 
 59 
 
 49-5 
 
 32.1 
 
 .19 
 
 99-8 
 
 64.8 
 
 
 150. i 
 
 97-5 
 
 39 
 
 200. 4 
 
 130. 2 
 
 99 
 
 250. 8 
 
 162.8 
 
 6q 
 
 50-3 
 
 * 
 
 32-7 
 
 2O 
 
 joo. 6 
 
 65.4 
 
 to 
 
 151.0 
 
 98.0 
 
 40 
 
 sol. 3 
 
 130- 7 
 
 300 
 
 251.6 
 
 163.4 
 
 Dlst. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dlst 
 
 Dep. 
 
 Lat 
 
 [For 57 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 34. 
 
 Dist. 
 
 Lai. 
 
 Dcp. 
 
 Pist. 
 
 Lit. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dcp. 
 
 Disl. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.8 
 
 0.6 
 
 61 
 
 50.6 
 
 34- 
 
 121 
 
 IOO. 3 
 
 67-7 
 
 iSi 
 
 150. I 
 
 IOI. 2 
 
 24' 
 
 199.8 
 
 '34-8 
 
 2 
 
 1-7 
 
 I. I 
 
 62 
 
 51.4 
 
 34-7 
 
 22 
 
 IOI. I 
 
 68. 2 
 
 82 
 
 150.9 
 
 IOI.8 
 
 42 
 
 2OO. 6 
 
 '35-3 
 
 3 
 
 2.5 
 
 i-7 
 
 63 
 
 52.2 
 
 35-2 
 
 23 
 
 102.0 
 
 68. 8 
 
 83 
 
 15I.7 
 
 102. 3 
 
 43 
 
 201. 5 
 
 135-9 
 
 4 
 
 3-3 
 
 2. 2 
 
 64 
 
 53-1 
 
 35-8 
 
 24 
 
 102.8 
 
 69-3 
 
 84 
 
 '5 2 -5 
 
 102.9 
 
 44 
 
 2O2. 3 
 
 136. 4 
 
 5 
 
 4- i 
 
 2.8 
 
 65 
 
 53-9 
 
 36-3 
 
 25 
 
 103. 6 
 
 69. 9 
 
 85 
 
 '53-4 
 
 l3-5 
 
 45 
 
 203. 1 
 
 '37-o 
 
 6 
 
 5.0 
 
 3-4 
 
 66 
 
 54-7 
 
 3 6 -9 
 
 26 
 
 104.5 
 
 70.5 
 
 86 
 
 154.2 
 
 104. o 
 
 46 
 
 203.9 
 
 '37-6 
 
 7 
 
 5-8 
 
 3-9 
 
 67 
 
 55-5 
 
 37-5 
 
 27 
 
 i5-3 
 
 71.0 
 
 87 
 
 155.0 
 
 104. 6 
 
 47 
 
 204. 8 
 
 138. i 
 
 8 
 
 6.6 
 
 4-5 
 
 68 
 
 56.4 
 
 38-0 
 
 28 
 
 106. i 
 
 71-6 
 
 88 
 
 '55-9 
 
 105. i 
 
 48 
 
 205. 6 
 
 138-7 
 
 9 
 
 7-5 
 
 5.0 
 
 69 
 
 57-2 
 
 38.6 
 
 29 
 
 106. 9 
 
 72. i 
 
 89 
 
 156.7 
 
 105.7 
 
 49 
 
 206. 4 
 
 139.2 
 
 10 
 
 8 :3 
 
 5.6 
 
 70 
 
 58.0 
 
 39- I 
 
 3 
 
 107.8 
 
 72.7 
 
 90 
 
 "57-5 
 
 1 06. 2 
 
 5 
 
 207.3 
 
 '39-8 
 
 II 
 
 9-1 
 
 6.2 
 
 7> 
 
 5 s -9 
 
 39-7 
 
 13' 
 
 loS. 6 
 
 73-3 
 
 191 
 
 '5 s - 3 
 
 106.8 
 
 251 
 
 208. i 
 
 140.4 
 
 12 
 
 9-9 
 
 6.7 
 
 72 
 
 59-7 
 
 4-3 
 
 3 2 
 
 109.4 
 
 73-8 
 
 92 
 
 159.2 
 
 107.4 
 
 S 2 
 
 208. 9 
 
 140.9 
 
 '3 
 
 10.8 
 
 7-3 
 
 73 
 
 60.5 
 
 40. 8 
 
 33 
 
 no. 3 
 
 74-4 
 
 93 
 
 1 60. O 
 
 107.9 
 
 53 
 
 209.7 
 
 141.5 
 
 4 
 
 11. 6 
 
 7-8 
 
 74 
 
 61-3 
 
 41.4 
 
 34 
 
 in. i 
 
 74-9 
 
 94 
 
 160.8 
 
 108.5 
 
 54 
 
 2IO. 6 
 
 142. o 
 
 '5 
 
 12.4 
 
 8.4 
 
 75 
 
 62.2 
 
 41.9 
 
 35 
 
 111.9 
 
 75-5 
 
 95 
 
 161. 7 
 
 lOg.O 
 
 55 
 
 211. 4 
 
 142. 6 
 
 16 
 
 '3-3 
 
 8.9 
 
 76 
 
 63. o 
 
 42.5 
 
 3 6 
 
 112.7 
 
 76.1 
 
 96 
 
 162. 5 
 
 109. 6 
 
 56 
 
 212. 2 
 
 143.2 
 
 '7 
 
 14.1 
 
 .9-5 
 
 77 
 
 63.8 
 
 43- > 
 
 37 
 
 113. 6 
 
 76.6 
 
 97 
 
 >63-3 
 
 no. 2 
 
 57 
 
 2I3.I 
 
 43 7 
 
 18 
 
 14.9 
 
 10. I 
 
 78 
 
 64. 7 
 
 43- 6 
 
 38 
 
 114.4 
 
 77-2 
 
 98 
 
 164. i 
 
 1 10. 7 
 
 58 
 
 213-9 
 
 144-3 
 
 19 
 
 15.8 
 
 10. 6 
 
 79 
 
 65.5 
 
 .44-2 
 
 39 
 
 115.2 
 
 77-7 
 
 99 
 
 165. o 
 
 111.3 
 
 59 
 
 214. 7 
 
 144.8 
 
 20 
 
 1 6. 6 
 
 II. 2 
 
 So 
 
 66.3 
 
 44-7 
 
 40 
 
 1 16. i 
 
 78.3 
 
 200 
 
 165.8 
 
 in. 8 
 
 60 
 
 2'5-5 
 
 145.4 
 
 21 
 
 17.4 
 
 ii. 7 
 
 81 
 
 67.2 
 
 45-3 
 
 141 
 
 116. 9 
 
 78.8 
 
 201 
 
 166.6 
 
 112. 4 
 
 261 
 
 216. 4 
 
 '45-9 
 
 22 
 
 18.2 
 
 12.3 
 
 82 
 
 68.0 
 
 45-9 
 
 42 
 
 117. 7 
 
 79-4 
 
 O2 
 
 167.5 
 
 113.0 
 
 62 
 
 217.2 
 
 146.5 
 
 23 
 
 19-1 
 
 12.9 
 
 83 
 
 68. 8 
 
 46.4 
 
 43 
 
 118. 6 
 
 80.0 
 
 3 
 
 168.3 
 
 "3-5 
 
 63 
 
 215.0 
 
 147. I 
 
 24 
 
 19.9 
 
 13-4 
 
 84 
 
 69.6 
 
 47.0 
 
 44 
 
 119.4 
 
 80.5 
 
 04 
 
 169. I 
 
 114. i 
 
 64 
 
 218.9 
 
 147.6 
 
 25 
 
 20.7 
 
 14. o 
 
 85 
 
 70.5 
 
 47-5 
 
 45 
 
 120. 2 
 
 81. i 
 
 5 
 
 170.0 
 
 114. 6 
 
 65 
 
 219.7 
 
 148. 2 
 
 26 
 
 21.6 
 
 14.5 
 
 86 
 
 7'-3 
 
 48. i 
 
 46 
 
 121. O 
 
 81.6 
 
 06 
 
 170.8 
 
 115.2 
 
 66 
 
 22O. 5 
 
 148.7 
 
 27 
 
 22.4 
 
 15.1 
 
 87 
 
 72.1 
 
 48.6 
 
 47 
 
 121-9 
 
 82.2 
 
 07 
 
 171.6 
 
 115.8 
 
 67 
 
 221. 4 
 
 '49-3 
 
 28 
 
 23.2 
 
 15-7 
 
 88 
 
 73-0 
 
 49-2 
 
 48 
 
 122. 7 
 
 82.8 
 
 08 
 
 172.4 
 
 116.3 
 
 68 
 
 222.2 
 
 149.9 
 
 29 
 
 24. o 
 
 16. 2 
 
 89 
 
 73-8 
 
 49,8 
 
 49 
 
 123-5 
 
 83-3 
 
 09 
 
 173-3 
 
 116.9 
 
 69 
 
 223. o 
 
 150.4 
 
 3 
 
 24.9 
 
 16. 8 
 
 90 
 
 74.6 
 
 5-3 
 
 5 
 
 124.4 
 
 83-9 
 
 IO 
 
 174. I 
 
 117.4 
 
 70 
 
 223.8 
 
 151.0 
 
 3' 
 
 25.7 
 
 '7-3 
 
 91" 
 
 75-4 
 
 50.9 
 
 '5' 
 
 125.2 
 
 84.4 
 
 211 
 
 174.9 
 
 118.0 
 
 271 
 
 224. 7 
 
 '5>-5 
 
 32 
 
 26.5 
 
 17.9 
 
 92 
 
 7-3 
 
 51.4 
 
 52 
 
 126. o 
 
 85.0 
 
 12 
 
 175-8 
 
 118.5 
 
 72 
 
 225-5 
 
 152.1 
 
 33 
 
 27.4 
 
 18.5 
 
 93 
 
 77- > 
 
 52.0 
 
 53 
 
 126.8 
 
 85.6 
 
 '3 
 
 176.6 
 
 119. l 
 
 73 
 
 226.3 
 
 152.7 
 
 34 
 
 28.2 
 
 19. o 
 
 94 
 
 77-9 
 
 52.6 
 
 54 
 
 127.7 
 
 86. i 
 
 14 
 
 177-4 
 
 119.7 
 
 74 
 
 227.2 
 
 153-2 
 
 35 
 
 29.0 
 
 19. 6 
 
 95 
 
 78.8 
 
 S3-' 
 
 55 
 
 128.5 
 
 86. 7 
 
 15 
 
 178.2 
 
 120.2 
 
 75 
 
 228.0 
 
 '53-8 
 
 36 
 
 29.8 
 
 20. i 
 
 96 
 
 79.6 
 
 53-7 
 
 5 6 
 
 J-9-3 
 
 87.2 
 
 16 
 
 179.1 
 
 120.8 
 
 76 
 
 228.8 
 
 154-3 
 
 37 
 
 3-7 
 
 20.7 
 
 97 
 
 80.4 
 
 54.2 
 
 57 
 
 130. 2 
 
 87.8 
 
 17 
 
 179.9 
 
 I2I-3 
 
 77 
 
 22O.6 
 
 '54-9 
 
 3 
 
 3'-5 
 
 21. 2 
 
 98 
 
 Si. 2 
 
 54.8 
 
 58 
 
 131. o 
 
 88.4 
 
 18 
 
 1 80. 7 
 
 I2I-9 
 
 78 
 
 230-5 
 
 55- 5 
 
 39 
 
 32-3 
 
 21.8 
 
 99 
 
 82.1 
 
 55-4 
 
 59 
 
 I3I.-8 
 
 88.9 
 
 '9 
 
 181.6 
 
 122. 5 
 
 79 
 
 23'- 3 
 
 156.0 
 
 40 
 
 33-2 
 
 22-4 
 
 IOO 
 
 82. 9 
 
 55-9 
 
 60 
 
 132. 6 
 
 89.5 
 
 20 
 
 182.4 
 
 123. o 
 
 80 
 
 232. 1 
 
 156.6 
 
 4' 
 
 34-o 
 
 22. 9 
 
 IOI 
 
 83-7 
 
 56-5 
 
 161 
 
 '33-5 
 
 90. o 
 
 221 
 
 183.2 
 
 123. 6 
 
 281 
 
 233.0 
 
 157.1 
 
 42 
 
 34-8 
 
 23-5 
 
 02 
 
 84.6 
 
 57-o 
 
 62 
 
 '34-3 
 
 90. 6 
 
 22 
 
 184.0 
 
 124. I 
 
 82 
 
 233.8 
 
 '57-7 
 
 43 
 
 35-6 
 
 24. o 
 
 03 
 
 8.5-4 
 
 57-6 
 
 63 
 
 '35- ' 
 
 91.1 
 
 23 
 
 184.9 
 
 124.7 
 
 83 
 
 234.6 
 
 I5 ?-i 
 
 44 
 
 36-5 
 
 24. 6 
 
 04 
 
 86.2 
 
 58.2 
 
 64 
 
 136.0 
 
 91.7 
 
 24 
 
 185.7 
 
 125-3 
 
 84 
 
 235.4 
 
 158.8 
 
 45 
 
 37-3 
 
 25-2 
 
 05 
 
 87.0 
 
 58.7 
 
 65 
 
 136.8 
 
 92-3 
 
 25 
 
 186.5 
 
 125.8 
 
 85 
 
 236.3 
 
 159.4 
 
 46 
 
 38-1 
 
 25.7 
 
 06 
 
 87-9 
 
 59-3 
 
 66 
 
 137.6' 
 
 92.8 
 
 26 
 
 187.4 
 
 126.4 
 
 86 
 
 237.1 
 
 159.9 
 
 47 
 
 39-o 
 
 26.3 
 
 07 
 
 88. 7 
 
 59-8 
 
 67 
 
 138.4 
 
 93-4 
 
 27 
 
 188.2 
 
 126. 9 
 
 87 
 
 237.9 
 
 160. 5 
 
 48 
 
 39-8 
 
 26.8 
 
 08 
 
 89-5 
 
 60.4 
 
 68 
 
 '39-3 
 
 93-9 
 
 28 
 
 189.0 
 
 127.5 
 
 88 
 
 238.8 
 
 161.0 
 
 49 
 
 40. 6 
 
 27.4 
 
 09 
 
 90.4 
 
 61. o 
 
 69 
 
 140. i 
 
 94-5 
 
 29 
 
 189.8 
 
 128. i 
 
 89 
 
 239.6 
 
 161.6 
 
 5 
 
 41.5 
 
 28.0 
 
 10 
 
 91. 2 
 
 6i-5 
 
 70 
 
 140.9 
 
 9S-I 
 
 3 
 
 190. 7 
 
 128.6 
 
 90 
 
 240.4 
 
 162. 2 
 
 5' 
 
 42-3 
 
 2b. S 
 
 III 
 
 92. o 
 
 02. I 
 
 '7" 
 
 141-8 
 
 95-6 
 
 231 
 
 191-5 
 
 129.2 
 
 291 
 
 241. 2 
 
 162. 7 
 
 52 
 
 43-1 
 
 29. I 
 
 12 
 
 92.9 
 
 62.6 
 
 72 
 
 142. 6 
 
 95. 2 
 
 32 
 
 192.3 
 
 129.7 
 
 92 
 
 242. I 
 
 163.3 
 
 S3 
 
 43-9 
 
 29. 6 
 
 '3 
 
 93-7 
 
 63. 2 
 
 73 
 
 143-4 
 
 96- 7 
 
 33 
 
 193-2 
 
 '3-3 
 
 93 
 
 i42.9 
 
 163.8 
 
 54 
 
 44.8 
 
 30.2 
 
 14 
 
 94-5 
 
 63.7 
 
 74 
 
 144-3 
 
 97-3 
 
 34 
 
 194.0 
 
 130.9 
 
 94 
 
 243-7 
 
 164.4 
 
 55 
 
 45.6 
 
 30.8 
 
 15 
 
 95-3 
 
 64.3 
 
 75 
 
 145. i 
 
 97-9 
 
 35 
 
 194.8 
 
 131-4 
 
 95 
 
 244.6 
 
 165.0 
 
 56 
 
 46.4 
 
 3'- 3 
 
 16 
 
 96. 2 
 
 64.9 
 
 76 
 
 145.9 
 
 98.4 
 
 36 
 
 195-7 
 
 132.0 
 
 96 
 
 245.4 
 
 ?5-5 
 
 57 
 
 47-3 
 
 3i-9 
 
 17 
 
 57-o 
 
 65-4 
 
 77 
 
 146. 7 
 
 99.0 
 
 37 
 
 196.5 
 
 132-5 
 
 97 
 
 246. 2 
 
 166. i 
 
 58 
 
 48. i 
 
 32-4 
 
 18 
 
 97-2 
 
 66. o 
 
 78 
 
 147.6 
 
 99-5 
 
 38 
 
 197-3 
 
 '33- ' 
 
 90 
 
 247.1 
 
 166.6 
 
 59 
 
 48.9 
 
 33-o 
 
 J9 
 
 98.7 
 
 66.5 
 
 79 
 
 148.4 
 
 IOC. I 
 
 39 
 
 198. i 
 
 '33- 6 
 
 99 
 
 247.9 
 
 167. 2 
 
 60 
 
 49- 7 
 
 33-6 
 
 20 
 
 99-5 
 
 67.1 
 
 80 
 
 1*49-2 
 
 loo. 7 
 
 40 
 
 199.0 
 
 '34-2 
 
 300 
 
 248.7 
 
 167.8 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 56 Degrees. 
 
 147 
 
DIFFERENCE OF LATITUDE 
 
 
 DEPARTURE FOR 
 
 
 AND 
 
 35. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Cist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.8 
 
 0.6 
 
 6l 
 
 50. o 
 
 35-0 
 
 121 
 
 99- I 
 
 69.4 
 
 181 
 
 148.3 
 
 103. 8 
 
 241 
 
 197-4 
 
 138.2 
 
 2 
 
 1.6 
 
 I. I 
 
 62 
 
 50. 8 
 
 35-6 
 
 22 
 
 99-9 
 
 70. o 
 
 82 
 
 149. I 
 
 104.4 
 
 42 
 
 198.2 
 
 IjS.S 
 
 3 
 
 2-5 
 
 '7 
 
 63 
 
 5'.6 
 
 36-1 
 
 23 
 
 100. 8 
 
 70.5 
 
 83 
 
 149.9 
 
 105. o 
 
 43 
 
 199. I 
 
 139-4 
 
 4 
 
 3-3 
 
 2-3 
 
 64 
 
 52.4 
 
 36-7 
 
 24 
 
 101. 6 
 
 71.1 
 
 84 
 
 I5 -7 
 
 105.5 
 
 44 
 
 199.9 
 
 (40. o 
 
 5 
 
 4.1 
 
 2.9 
 
 65 
 
 53-2 
 
 37-3 
 
 25 
 
 102. 4 
 
 71.7 
 
 85 
 
 I5I-5 
 
 1 06. i 
 
 45 
 
 200. 7 
 
 140.5 
 
 6 
 
 4-9 
 
 3-4 
 
 66 
 
 54- i 
 
 37-9 
 
 26 
 
 103. 2 
 
 72.3 
 
 86 
 
 152.4 
 
 106. 7 
 
 46 
 
 201. 5 
 
 141. I 
 
 7 
 
 5-7 
 
 4.0 
 
 67 
 
 54-9 
 
 3 8 -4 
 
 27 
 
 104. o 
 
 72.8 
 
 87 
 
 153-2 
 
 I0 7-3 
 
 47 
 
 202. 3 
 
 141.7 
 
 8 
 
 6.6 
 
 4.6 
 
 68 
 
 55-7 
 
 39-o 
 
 28 
 
 104. 9 
 
 73-4 
 
 88 
 
 154.0 
 
 107.8 
 
 48 
 
 203. I 
 
 142.2 
 
 9 
 
 7-4 
 
 5-2 
 
 69 
 
 56.5 
 
 39-6 
 
 29 
 
 105.7 
 
 74.0 
 
 89 
 
 '54-8 
 
 108.4 
 
 49 
 
 204. o 
 
 [42.8 
 
 10 
 
 8.2 
 
 5-7 
 
 70 
 
 57-3 
 
 40. 2 
 
 3 
 
 1 06. 5 
 
 74.6 
 
 90 
 
 '55-6 
 
 109. o 
 
 5 
 
 204. 8 
 
 143-4 
 
 II 
 
 9.0 
 
 51 
 
 7' 
 
 58.2 
 
 40.7 
 
 '3' 
 
 107-3 
 
 75-' 
 
 191 
 
 '5 6 -5 
 
 109. 6 
 
 251 
 
 205.6 
 
 144.0 
 
 12 
 
 9.8 
 
 6.9 
 
 72 
 
 59.0 
 
 4'-3 
 
 32 
 
 108. i 
 
 75-7 
 
 92 
 
 '57-3 
 
 no. i 
 
 5 2 
 
 206. 4 
 
 144-5 
 
 13 
 
 10. 6 
 
 7-5 
 
 73 
 
 59.8 
 
 41.9 
 
 33 
 
 108. 9 
 
 76-3 
 
 93 
 
 158. i 
 
 no. 7 
 
 53 
 
 207. 2 
 
 145.1 
 
 14 
 
 11.5 
 
 8.0 
 
 74 
 
 60.6 
 
 42-4 
 
 34 
 
 109. 8 
 
 76.9 
 
 94 
 
 158.91 
 
 in. 3 
 
 54 
 
 208. 1 
 
 145-7 
 
 15 
 
 12. 3 
 
 8.6 
 
 75 
 
 61.4 
 
 43- 
 
 35 
 
 no. 6 
 
 77-4 
 
 95 
 
 159- 7 
 
 in. 8 
 
 55 
 
 208. 9 
 
 146. 3 
 
 16 
 
 '3-i 
 
 9-2 
 
 76 
 
 62.3 
 
 43-6 
 
 36 
 
 111.4 
 
 78.0 
 
 96 
 
 160. 6 
 
 112. 4 
 
 56 
 
 209. 7 
 
 146.8 
 
 17 
 
 13-9 
 
 $.8 
 
 77 
 
 63.1 
 
 44.2 
 
 37 
 
 112. 2 
 
 78.6 
 
 97 
 
 It: I. 4 
 
 113. o 
 
 57 
 
 210. 5 
 
 147.4 
 
 18 
 
 14.7 
 
 10.3 
 
 78 
 
 63-9 
 
 44- 7 
 
 38 
 
 113. o 
 
 79-2 
 
 98 
 
 162. 2 
 
 113.6 
 
 58 
 
 211. 3 
 
 148. o 
 
 19 
 
 15.6 
 
 10. 9 
 
 79 
 
 64,7 
 
 45-3 
 
 39 
 
 '13-9 
 
 79-7 
 
 99 
 
 163. o 
 
 114. 1 
 
 59 
 
 212. 2 
 
 148.6 
 
 20 
 
 16. 4 
 
 11.5 
 
 80 
 
 65-5 
 
 45-9 
 
 40 
 
 114. 7 
 
 80.3 
 
 200 
 
 163.8 
 
 114.7 
 
 60 
 
 213. o 
 
 149.1 
 
 21 
 
 17.2 
 
 12. 
 
 Si 
 
 66. 4 
 
 46.5 
 
 141 
 
 115.5 
 
 80.9 
 
 201 
 
 164.6 
 
 i5-3 
 
 261 
 
 2I 3 .8 
 
 149-7 
 
 22 
 
 18. o 
 
 12.6 
 
 82 
 
 67. 2 
 
 47-o 
 
 42 
 
 116. 3 
 
 81.4 
 
 02 
 
 l6 5-5 
 
 "5-9 
 
 62 
 
 214. 6 
 
 150-3 
 
 23 
 
 18. 8 
 
 '3-2 
 
 83 
 
 es. o 
 
 47.6 
 
 43 
 
 117.1 
 
 82.0 
 
 3 
 
 166.3 
 
 116. 4 
 
 63 
 
 215-4 
 
 150.9 
 
 24 
 
 19.7 
 
 13-8 
 
 84 
 
 68.8 
 
 48.2 
 
 44 
 
 118. o 
 
 82.6 
 
 04 
 
 167. i 
 
 117. o 
 
 64 
 
 216. 3 
 
 15I-4 
 
 25 
 
 20.5 
 
 H-3 
 
 85 
 
 69.6 
 
 48.8 
 
 45 
 
 118. 8 
 
 83.2 
 
 5 
 
 167.9 
 
 117. 6 
 
 65 
 
 217. i 
 
 152. o 
 
 26 
 
 21-3 
 
 14.9 
 
 86 
 
 70.4 
 
 49-3 
 
 46 
 
 119. 6 
 
 83-7 
 
 06 
 
 168.7 
 
 118.2 
 
 66 
 
 217-9 
 
 152. 6 
 
 27 
 
 22. I 
 
 '5-5 
 
 87 
 
 7'-3 
 
 49-9 
 
 47 
 
 120. 4 
 
 84-3 
 
 7 
 
 169. 6 
 
 118. 7 
 
 67 
 
 218.7 
 
 153-1 
 
 2 
 
 22-9 
 
 16. i 
 
 88 
 
 72.1 
 
 5-5 
 
 48 
 
 121. 2 
 
 84.9 
 
 08 
 
 170.4 
 
 119-3 
 
 68 
 
 219.5 
 
 153-7 
 
 29 
 
 2 3 .8 
 
 16. 6 
 
 89 
 
 72.9 
 
 51.0 
 
 49 
 
 122. I 
 
 85-5 
 
 09 
 
 171. 2 
 
 119.9 
 
 69 
 
 220. 4 
 
 154.3 
 
 3 
 
 2 4 .6 
 
 17.2 
 
 90 
 
 73-7 
 
 51 .6 
 
 5 
 
 122. 9 
 
 86.0 
 
 IO 
 
 172. o 
 
 120. 5 
 
 70 
 
 221. 2 
 
 154.9 
 
 3i 
 
 25.4 
 
 17.8 
 
 9' 
 
 74-5 
 
 52.2 
 
 '5' 
 
 123-7 
 
 86.6 
 
 211 
 
 172.8 
 
 121. O 
 
 271 
 
 222. O 
 
 155-4 
 
 S 2 
 
 26.2 
 
 18.4 
 
 92 
 
 75-4 
 
 52.8 
 
 52 
 
 124.5 
 
 87.2 
 
 12 
 
 173-7 
 
 121. 6 
 
 72 
 
 222.8 
 
 156.0 
 
 33 
 
 27.0 
 
 18. 9 
 
 93 
 
 76.2 
 
 53-3 
 
 53 
 
 '25-3 
 
 87.8 
 
 13 
 
 "74-5 
 
 122. 2 
 
 73 
 
 223. 6 
 
 156.6 
 
 34 
 
 27.9 
 
 19.5 
 
 94 
 
 77.0 
 
 53-9 
 
 54 
 
 126. i 
 
 88.3 
 
 14 
 
 75-3 
 
 122.7 
 
 74 
 
 224.4 
 
 157.2 
 
 35 
 
 28.7 
 
 20. I 
 
 95 
 
 77.8 
 
 54-5 
 
 55 
 
 127. o 
 
 88.9 
 
 '5 
 
 176. i 
 
 '23-3 
 
 75 
 
 225-3 
 
 157-7 
 
 3 6 
 
 29.5 
 
 20. 6 
 
 96 
 
 78.6 
 
 55-i 
 
 5 6 
 
 127.8 
 
 89.5 
 
 16 
 
 176.9 
 
 123-9 
 
 76 
 
 226. I 
 
 i5-3 
 
 37 
 
 3-3 
 
 21. 2 
 
 97 
 
 79-5 
 
 55-6 
 
 57 
 
 128.6 
 
 90. i 
 
 17 
 
 177-8 
 
 124-5 
 
 77 
 
 226. 9 
 
 158.9 
 
 38 
 
 3'- 1 
 
 21.8 
 
 98 
 
 80.3 
 
 56.2 
 
 58 
 
 129.4 
 
 90. 6 
 
 18 
 
 178.6 
 
 125. o 
 
 78 
 
 227. 7 
 
 159-5 
 
 39 
 
 3'-9 
 
 22.4 
 
 99 
 
 81.1 
 
 56.8 
 
 59 
 
 130. 2 
 
 91.2 
 
 19 
 
 179-4 
 
 125.6 
 
 79 
 
 228.5 
 
 1 60. o 
 
 40 
 
 32-8 
 
 22. 9 
 
 loo 
 
 81.9 
 
 57-4 
 
 60 
 
 I 3 I.I 
 
 91. 8 
 
 20 
 
 180.2 
 
 120. 2 
 
 80 
 
 229.4 
 
 1 60. 6 
 
 41 
 
 33-6 
 
 23-5 
 
 101 
 
 82.7 
 
 57-9 
 
 161 
 
 I3I-9 
 
 92-3 
 
 221 
 
 181.0 
 
 126/8 
 
 281 
 
 230. 2 
 
 161. 2 
 
 42 
 
 34- 4 
 
 24- I 
 
 02 
 
 83.6 
 
 58-5 
 
 62 
 
 132.7 
 
 92-9 
 
 22 
 
 181.9 
 
 127-3 
 
 82 
 
 231. o 
 
 161. 7 
 
 43 
 
 35-2 
 
 24.7 
 
 03 
 
 84-4 
 
 59- ' 
 
 6 3 
 
 133-5 
 
 93-5 
 
 23 
 
 182. 7 
 
 127.9 
 
 83 
 
 231.8 
 
 162. 3 
 
 44 
 
 36. o 
 
 25.2 
 
 04 
 
 85.2 
 
 59-7 
 
 64 
 
 '34-3 
 
 94- i 
 
 24 
 
 183-5 
 
 128. 5 
 
 84 
 
 232. 6 
 
 162.9 
 
 45 
 
 j6. 9 
 
 2 5 .8 
 
 05 
 
 86.0 
 
 60. 2 
 
 65 
 
 35-2 
 
 94.6 
 
 25 
 
 184-3 
 
 129. i 
 
 85 
 
 233-5 
 
 l6 3-5 
 
 46 
 
 37-7 
 
 26. 4 
 
 06 
 
 86.8 
 
 60.8 
 
 66 
 
 136. o 
 
 95-2 
 
 26 
 
 185. i 
 
 129. 6 
 
 86 
 
 234-3 
 
 164. o 
 
 47 
 
 38.5 
 
 27.0 
 
 07 
 
 87.6 
 
 61. 4 
 
 67 
 
 136.8 
 
 95-8 
 
 27 
 
 185.9 
 
 130. 2 
 
 87 
 
 235- i 
 
 164.6 
 
 48 
 
 39-3 
 
 27-5 
 
 08 
 
 88.5 
 
 61. 9 
 
 68 
 
 I37- 6 
 
 96.4 
 
 28 
 
 186.8 
 
 130.8 
 
 88 
 
 235-9 
 
 165. 2 
 
 49 
 
 40. i 
 
 28. i 
 
 09 
 
 9-3 
 
 62.5 
 
 69 
 
 138.4 
 
 96.9 
 
 29 
 
 187. 6 
 
 '3'-3 
 
 89 
 
 236. 7 
 
 165.8 
 
 50 
 
 41. o 
 
 28.7 
 
 10 
 
 90. i 
 
 63., 
 
 70 
 
 '39-3 
 
 97-5 
 
 3 
 
 188.4 
 
 i3i-9 
 
 90 
 
 237.6 
 
 I66.J 
 
 5' 
 
 41.8 
 
 29-3 
 
 in 
 
 90.9 
 
 63-7 
 
 '71 
 
 140. i 
 
 98. i 
 
 2 3' 
 
 189.2 
 
 132-5 
 
 291 
 
 238.4 
 
 1 66. 9 
 
 52 
 
 42. 6 
 
 29.8 
 
 12 
 
 9'-7 
 
 64.2 
 
 72 
 
 140.9 
 
 98.7 
 
 32 
 
 190. o 
 
 I33-' 
 
 92 
 
 239.2 
 
 167.5 
 
 53 
 
 43-4 
 
 3-4 
 
 '3 
 
 92. 6 
 
 64.8 
 
 73 
 
 141. 7 
 
 99.2 
 
 33 
 
 190.9 
 
 133- 6 
 
 93 
 
 240. o 
 
 1 68. i 
 
 54 
 
 44.2 
 
 31.0 
 
 14 
 
 93-4 
 
 65.4 
 
 74 
 
 142.5 
 
 99-8 
 
 34 
 
 191.7 
 
 134.2 
 
 94 
 
 240. 8 
 
 168.6 
 
 55 
 
 45- 
 
 3'-5 
 
 15 
 
 94.2 
 
 66.0 
 
 75 
 
 143.4 
 
 100. 4 
 
 35 
 
 192.5 
 
 134. 8 
 
 95 
 
 241.6 
 
 169. 2 
 
 56 
 
 45-9 
 
 32.1 
 
 16 
 
 95.0 
 
 66.5 
 
 76 
 
 144.2 
 
 TOO. 9 
 
 56 
 
 "93-3 
 
 135-4 
 
 96 
 
 242.5 
 
 169.8 
 
 57 
 
 46.7 
 
 32-7 
 
 17 
 
 95.8 
 
 67.1 
 
 77 
 
 145.0 
 
 101. 5 
 
 37 
 
 194. i 
 
 135-9 
 
 97 
 
 243-3 
 
 170.4 
 
 5 
 
 47-5 
 
 33-3 
 
 i* 
 
 96. 7 
 
 67.7 
 
 7 
 
 145.8 
 
 102. I 
 
 38 
 
 195.0 
 
 i3 6 -5 
 
 98 
 
 244-1 
 
 170.9 
 
 59 
 
 48-3 
 
 33-8 
 
 '9 
 
 97-5 
 
 68.3 
 
 79 
 
 146. 6 
 
 102. 7 
 
 39 
 
 195.8 
 
 i37-i 
 
 99 
 
 244-9 
 
 171.5 
 
 60 
 
 49. I 
 
 34-4 
 
 20 
 
 98.3 
 
 68. 8 
 
 80 
 
 147.4 
 
 103. 2 
 
 40 
 
 196. 6 
 
 137-7 
 
 300 
 
 245-7 
 
 172.1 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 55 Degrees. 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 36. 
 
 Dirt. 
 
 Lat. 
 
 Dcp. 
 
 Dlst. Lat. 
 
 Dcp. 
 
 Dlst 
 
 Lat. 
 
 Dep. 
 
 Di-t 
 
 Lat. 
 
 Dcp. 
 
 Dlst. 
 
 Lat 
 
 Dcp. 
 
 I 
 
 0.8 
 
 0.6 
 
 Cl 
 
 49- 4 
 
 35-9 
 
 121 
 
 97-9 
 
 71. I 
 
 iSi 
 
 146. 4 
 
 1 06. 4 
 
 241 
 
 195.0 
 
 141. 7 
 
 2 
 
 1.6 
 
 I. 2 
 
 62 
 
 50.2 
 
 36.4 
 
 22 
 
 98.7 
 
 71-7 
 
 82 
 
 147.2 
 
 107. o 
 
 42 
 
 195.8 
 
 142. 2 
 
 3 
 
 2-4 
 
 1.8 
 
 63 
 
 51.0 
 
 37-0 
 
 23 
 
 99- 5 
 
 72.3 
 
 83 
 
 I 4 S. I 
 
 107. 6 
 
 43 
 
 196. 6 
 
 142. S 
 
 4 
 
 3-2 
 
 2-4 
 
 64 
 
 51.8 
 
 37-6 
 
 24 
 
 loo. 3 
 
 72. 9 
 
 84 
 
 148.9 
 
 1 08. 2 
 
 44 
 
 197.4 
 
 '43- 4 
 
 s 
 
 4.0 
 
 2.9 
 
 65 
 
 52.6 
 
 38-2 
 
 25 
 
 101. I 
 
 73-5 
 
 85 
 
 149. 7 
 
 1 08. 7 
 
 45 
 
 198. 2 
 
 144.0 
 
 6 
 
 4-9 
 
 ' 3-5 
 
 66 
 
 53-4 
 
 38.8 
 
 26 
 
 101. 9 
 
 74- i 
 
 86 
 
 150.5 
 
 109.3 
 
 46 
 
 199. o 
 
 144.6 
 
 7 
 
 5- 7 
 
 4-1 
 
 67 
 
 54-2 
 
 39-4 
 
 27 
 
 102. 7 
 
 74-6 
 
 87 
 
 I5I-3 
 
 109.9 
 
 47 
 
 199.8 
 
 145.2 
 
 S 
 
 6.5 
 
 4-7 
 
 68 
 
 55.0 
 
 40. o 
 
 28 
 
 103. 6 
 
 75.2 
 
 88 
 
 152. i 
 
 no. 5 
 
 48 
 
 200. 6 
 
 145-8 
 
 9 
 
 7-3 
 
 5-3 
 
 69 
 
 55.8 
 
 40. 6 
 
 29 
 
 104.4 
 
 75-8 
 
 89 
 
 152.9 
 
 in. i 
 
 49 
 
 201. 4 
 
 146. 4 
 
 10 
 
 8. i 
 
 5-9 
 
 7 
 
 56.6 
 
 41. i 
 
 3 
 
 105. 2 
 
 76.4 
 
 90 
 
 '53-7 
 
 in. 7 
 
 5 
 
 202. 3 
 
 146. 9 
 
 II 
 
 8.9 
 
 6.5 
 
 7' 
 
 57-4 
 
 41.7 
 
 '3 1 
 
 1 06. O 
 
 77.0 
 
 191 
 
 '54-5 
 
 112.3 
 
 251 
 
 203. I 
 
 147-5 
 
 12 
 
 9-7 
 
 7- i 
 
 72 
 
 58.2 
 
 42-3 
 
 32 
 
 106.8 
 
 77-6 
 
 92 
 
 '55-3 
 
 112. 9 
 
 52 
 
 203.9 
 
 148. I 
 
 13 
 
 10.5 
 
 7.6 
 
 73 
 
 59- 
 
 42.9 
 
 33 
 
 107. 6 
 
 78.2 
 
 93 
 
 156. i 
 
 "3-4 
 
 53 
 
 204. 7 
 
 148.7 
 
 4 
 
 "3 
 
 8.2 
 
 74 
 
 59-9 
 
 43-5 
 
 34 
 
 1 08. 4 
 
 78.8 
 
 94 
 
 156.9 
 
 114. o 
 
 54 
 
 205.5 
 
 149.3 
 
 15 
 
 12. I 
 
 8.8 
 
 75 
 
 60. 7 
 
 44- ' 
 
 35 
 
 109. 2 
 
 79-4 
 
 95 
 
 157.8 
 
 114. 6 
 
 55 
 
 206. 3 
 
 149-9 
 
 1 6 
 
 12-9 
 
 9-4 
 
 /6 
 
 61.5 
 
 44- 7 
 
 36 
 
 no. o 
 
 79-9 
 
 96 
 
 158. 6 
 
 115.2 
 
 56 
 
 207. i 
 
 150.5 
 
 17 
 
 I 3 .8 
 
 10. o 
 
 77 
 
 62.3 
 
 45-3 
 
 37 
 
 no. 8 
 
 80. 5 
 
 97 
 
 159.4 
 
 115.8 
 
 57 
 
 207.9 
 
 151.1 
 
 18 
 
 14. 6 
 
 10. 6 
 
 78 
 
 63.1 
 
 45.8 
 
 38 
 
 in. 6 
 
 81. i 
 
 98 
 
 160. 2 
 
 no. 4 
 
 58 
 
 208. 7 
 
 151. 6 
 
 19 
 
 "5-4 
 
 II. 2 
 
 79 
 
 63-9 
 
 46. 4 
 
 39 
 
 112.5 
 
 81.7 
 
 99 
 
 161. o 
 
 117.0 
 
 59 
 
 209.5 
 
 152.2 
 
 20 
 
 1 6. 2 
 
 n. 8 
 
 80 
 
 64. 7 
 
 ^47.0 
 
 40 
 
 "3-3 
 
 82-3 
 
 200 
 
 161.8 
 
 117. 6 
 
 60 
 
 210.3 
 
 152.8 
 
 :i 
 
 17. o 
 
 I2 - 3 
 
 81 
 
 65-5 
 
 47.6 
 
 141 
 
 114. i 
 
 82.9 
 
 201 
 
 162.6 
 
 nil i 
 
 261 
 
 211. 2 
 
 153-4 
 
 22 
 
 17.8 
 
 12.9 
 
 82 
 
 66.3 
 
 48. 2 
 
 42 
 
 114.9 
 
 83-5 
 
 02 
 
 163.4 
 
 118. 7 
 
 62 
 
 212. O 
 
 154.0 
 
 23 
 
 18.6 
 
 >3-5 
 
 83 
 
 67.1 
 
 48.8 
 
 43 
 
 115.7 
 
 84. i 
 
 03 
 
 164. 2 
 
 "9-3 
 
 63 
 
 212.8 
 
 154.6 
 
 24 
 
 19.4 
 
 14. i 
 
 84 
 
 68.0 
 
 49. 4 
 
 44 
 
 116. 5 
 
 84.6 
 
 04 
 
 165. o 
 
 119.9 
 
 64 
 
 213. 6 
 
 155.2 
 
 
 20. 2 
 
 14. 7 
 
 8S 
 
 68.8 
 
 50. o 
 
 45 
 
 "7-3 
 
 85.2 
 
 05 
 
 165.8 
 
 120. 5 
 
 65 
 
 214-4 
 
 155.8 
 
 26 
 
 21. O 
 
 '5-3 
 
 86 
 
 69.6 
 
 5- 5 
 
 46 
 
 US. I 
 
 85.8 
 
 06 
 
 1 66. 7 
 
 121. I 
 
 66 
 
 215.2 
 
 156.4 
 
 27 
 
 21.8 
 
 15.9 
 
 87 
 
 70.4 
 
 51. i 
 
 47 
 
 118. 9 
 
 86.4 
 
 07 
 
 167. 5 
 
 121. 7 
 
 67 
 
 216. o 
 
 156.9 
 
 28 
 
 22.7 
 
 16.5 
 
 88 
 
 71.2 
 
 5- 7 
 
 48 
 
 119. 7 
 
 87.0 
 
 08 
 
 168. 3 
 
 122. 3 
 
 68 
 
 216.8 
 
 157-5 
 
 29 
 
 23-5 
 
 17.0 
 
 89 
 
 72.0 
 
 52-3 
 
 49 
 
 120. 5 
 
 87.6 
 
 09 
 
 169. i 
 
 122.8 
 
 69 
 
 217. 6 
 
 158. I 
 
 3 
 
 24-3 
 
 17.6 
 
 90 
 
 72.8 
 
 52.9 
 
 5 
 
 121.4 
 
 88.2 
 
 10 
 
 169.9 
 
 23-4 
 
 70 
 
 218. 4 
 
 158.7 
 
 3' 
 
 25. I 
 
 1 8. 2 
 
 9i 
 
 73-6 
 
 53-5 
 
 '5' 
 
 122. 2 
 
 88.8 
 
 211 
 
 170. 7 
 
 124. o 
 
 271 
 
 219. 2 
 
 159-3 
 
 32 
 
 25.9 
 
 18. 8 
 
 92 
 
 74-4 
 
 54- i 
 
 52 
 
 123. o 
 
 89-3 
 
 12 
 
 171-5 
 
 124. 6 
 
 72 
 
 220. I 
 
 159-9 
 
 33 
 
 26.7 
 
 19.4 
 
 93 
 
 75-2 
 
 54-7 
 
 53 
 
 123.8 
 
 89.9 
 
 '3 
 
 172.3 
 
 125.2 
 
 73 
 
 220. 9 
 
 1 60. 5 
 
 34 
 
 2 7-5 
 
 20. O 
 
 94 
 
 76. o 
 
 55-3 
 
 54 
 
 124. 6 
 
 90.5 
 
 '4 
 
 173- i 
 
 125. 8 
 
 74 
 
 221. 7 
 
 161. i 
 
 35 
 
 28-3 
 
 20. 6 
 
 95 
 
 76.9 
 
 55- 
 
 55 
 
 125.4 
 
 91.1 
 
 15 
 
 '73-9 
 
 126. 4 
 
 75 
 
 222. 5 
 
 161.6 
 
 36 
 
 29. i 
 
 21. 2 
 
 96 
 
 77-7 
 
 56.4 
 
 5 6 
 
 120. 2 
 
 91.7 
 
 16 
 
 174- 7 
 
 127. o 
 
 76 
 
 223.3 
 
 162. 2 
 
 37 
 
 29.9 
 
 21-7 
 
 97 
 
 78.5 
 
 57.0 
 
 57 
 
 127. o 
 
 92-3 
 
 17 
 
 175-6 
 
 127.5 
 
 77 
 
 224. I 
 
 162.8 
 
 38 
 
 3- 7 
 
 22-3 
 
 98 
 
 
 57.6 
 
 58 
 
 127.8 
 
 92.9 
 
 IS 
 
 176. 4 
 
 128. i 
 
 78 
 
 224.9 
 
 163.4 
 
 39 
 
 31-6 
 
 22. 9 
 
 99 
 
 80. i 
 
 56.2 
 
 59 
 
 128.6 
 
 93-5 
 
 19 
 
 177.2 
 
 128. 7 
 
 79 
 
 225.7 
 
 164. o 
 
 40 
 
 3-4 
 
 23-5 
 
 IOO 
 
 80. 9 
 
 58.8 
 
 60 
 
 129.4 
 
 94- 
 
 2O 
 
 178.0 
 
 "29-3 
 
 80 
 
 226. 5 
 
 164.6 
 
 41 
 
 33-2 
 
 24. I 
 
 lot 
 
 81.7 
 
 59- 4 
 
 161 
 
 '3-3 
 
 94.6 
 
 221 
 
 178.8 
 
 129.9 
 
 281 
 
 227-3 
 
 165. 2 
 
 42 
 
 34- 
 
 24.7 
 
 02 
 
 82.5 
 
 60. o 
 
 62 
 
 131.1 
 
 95-2 
 
 22. 
 
 179.6 
 
 "3-5 
 
 -82 
 
 228. i 
 
 165.8 
 
 43 
 44 
 
 34-8 
 35-6 
 
 25-3 
 25.9 
 
 o 
 
 04 
 
 83.3 
 84.1 
 
 60.5 
 61. i 
 
 63 
 64 
 
 .131-9 
 132-7 
 
 95-8 
 96.4 
 
 23 
 
 24 
 
 180. 4 
 
 iSi. 2 
 
 131.1 
 IS'-? 
 
 3 
 
 84 
 
 229. o 
 229.8 
 
 166.3 
 
 166. 9 
 
 45 
 
 3 6 -4 
 
 26.5 
 
 05 
 
 84.9 
 
 61.7 
 
 65 
 
 133-5 
 
 97.0 
 
 25 
 
 182.0 
 
 '32-3 
 
 85 
 
 230.6 
 
 167.3 
 
 46 
 
 37-2 
 
 27.0 
 
 06 
 
 85.8 
 
 62.3 
 
 66 
 
 "34-3 
 
 97.6 
 
 26 
 
 182. 8 
 
 132.8 
 
 86 
 
 23'- 4 
 
 168.1 
 
 47 
 
 38.0 
 
 27.6 
 
 07 
 
 86.6 
 
 62. 9 
 
 67 
 
 135- i 
 
 98.2 
 
 27 
 
 183.6 
 
 "33-4 
 
 87 
 
 232.2 
 
 168. 7 
 
 48 
 
 38.8 
 
 28.2 
 
 08 
 
 87.4 
 
 63-5 
 
 68 
 
 '35-9 
 
 98.7 
 
 28 
 
 184.5 
 
 134.0 
 
 88 
 
 233-0 
 
 169.3 
 
 49 
 
 39-6 
 
 28.8 
 
 09 
 
 88.2 
 
 64. i 
 
 69 
 
 136' 7 
 
 99-3 
 
 29 
 
 '85-3 
 
 134.6 
 
 89 
 
 233-8 
 
 169.9 
 
 50 
 
 40. 5 
 
 29.4 
 
 10 
 
 89.0 
 
 64. 7 
 
 70 
 
 137-5 
 
 99-9 
 
 3 
 
 1 86. i 
 
 '35-2 
 
 90 
 
 234.6 
 
 170-5 
 
 5' 
 
 41-3 
 
 30. o 
 
 III 
 
 89.8 
 
 65.2 
 
 171 
 
 138-3 
 
 100. 5 
 
 23' 
 
 iii6. 9 
 
 135- 3 
 
 291 
 
 235-4 
 
 171. o 
 
 52 
 
 42. i 
 
 30.6 
 
 12 
 
 90. 6 
 
 65.8 
 
 72 
 
 '39-2 
 
 IOI. I 
 
 32 
 
 187.7 
 
 136.4 
 
 92 
 
 236. 2 
 
 171. 6 
 
 53 
 
 42-9 
 
 3 1 - 2 
 
 3 
 
 91.4 
 
 66.4 
 
 73 
 
 140. o 
 
 101. 7 
 
 33 
 
 1 88. 5 
 
 137-0 
 
 93 
 
 237-0 
 
 172. 2 
 
 54 
 
 43'7 
 
 3i-7 
 
 14 
 
 92.2 
 
 67. o 
 
 74 
 
 140. 8 
 
 102. 3 
 
 34 
 
 '89-3 
 
 '37-5 
 
 94 
 
 237-9 
 
 172.8 
 
 55 
 
 44-5 
 
 32-3 
 
 15 
 
 93.0 
 
 67.6 
 
 75 
 
 141.6 
 
 102. 9 
 
 35 
 
 190. i 
 
 138.1 
 
 95 
 
 238.7 
 
 173-4 
 
 5 
 
 45' 3 
 
 32-9 
 
 10 
 
 93-8 
 
 68.2 
 
 76 
 
 142.4 
 
 J3-5 
 
 36 
 
 190.9 
 
 i3 8 -7 
 
 96 
 
 239-5 
 
 174.0 
 
 57 
 
 46. i 
 
 33-5 
 
 17 
 
 94-7 
 
 68.8 
 
 77 
 
 143-2 
 
 104. o 
 
 37 
 
 191.7 
 
 '39-3 
 
 97 
 
 240-3 
 
 174.6 
 
 53 
 
 46.9 
 
 34-1 
 
 18 
 
 95-5 
 
 69.4 
 
 78 
 
 144.0 
 
 104. 6 
 
 38 
 
 192.5 
 
 139-9 
 
 98 
 
 241. I 
 
 175.2 
 
 59 
 
 4 Z' 7 
 
 34-7- 
 
 19 
 
 96-3 
 
 69.9 
 
 P 
 
 144.8 
 
 105. 2 
 
 39 
 
 193.4 
 
 140.5 
 
 99 
 
 241.9 
 
 175- 7 
 
 60 
 
 48.5 
 
 35'3 
 
 20 
 
 97.1 
 
 70.5 
 
 So 
 
 145.6 
 
 105. 8 
 
 40 
 
 194.2 
 
 141. I 
 
 300 
 
 242. 7 
 
 1/6-3 
 
 Cist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dcp. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 [For 54 Degrees. 
 
 149 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 37. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 J>ep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.8 
 
 0.6 
 
 6l 
 
 48.7 
 
 36.7 
 
 121 
 
 96.6 
 
 7 2.8 
 
 181 
 
 144.6 
 
 108.9 
 
 241 
 
 192.5 
 
 145-0 
 
 2 
 
 1.6 
 
 1.2 
 
 62 
 
 49-5 
 
 37-3 
 
 22 
 
 97-4 
 
 73-4 
 
 82 
 
 145.4 
 
 109.5 
 
 42 
 
 193-3 
 
 145.6 
 
 3 
 
 2.4 
 
 1.8 
 
 63 
 
 5-3 
 
 37-9 
 
 23 
 
 98.2 
 
 74-o 
 
 83 
 
 146. 2 
 
 no. i 
 
 43 
 
 194. I 
 
 146.2 
 
 4 
 
 3- 2 
 
 2.4 
 
 64 
 
 51.1 
 
 38.5 
 
 24 
 
 99-0 
 
 74-6 
 
 84 
 
 146.9 
 
 1 10. 7 
 
 44 
 
 194.9 
 
 146.8 
 
 5 
 
 4.0 
 
 3- 
 
 65 
 
 51-9 
 
 39-1 
 
 25 
 
 99-8 
 
 75-2 
 
 85 
 
 147-7 
 
 111.3 
 
 45 
 
 195.- 7 
 
 147-4 
 
 6 
 
 4.8 
 
 3-6 
 
 66 
 
 52.7 
 
 39- 7 
 
 26 
 
 100. 6 
 
 75-8 
 
 86 
 
 148.5 
 
 in. 9 
 
 46 
 
 196.5 
 
 148. o 
 
 7 
 
 5-6 
 
 4-2 
 
 67 
 
 53-5 
 
 40.3 
 
 27 
 
 101.4 
 
 76-4 
 
 87 
 
 149-3 
 
 112.5 
 
 47 
 
 197-3 
 
 148.6 
 
 8 
 
 6.4 
 
 4.8 
 
 68 
 
 54-3 
 
 40.9 
 
 28 
 
 102.2 
 
 77-o 
 
 88 
 
 150. I 
 
 113.1 
 
 48 
 
 198.1 
 
 149-3 
 
 9 
 
 7-2 
 
 5-4 
 
 69 
 
 55-i 
 
 41-5 
 
 29 
 
 103. o 
 
 77-6 
 
 89 
 
 150-9 
 
 113-7 
 
 49 
 
 198.9 
 
 149-9 
 
 10 
 
 8.0 
 
 6.0 
 
 70 
 
 55-9 
 
 42. i 
 
 30 
 
 103.8 
 
 78.2 
 
 90 
 
 I5I.7 
 
 II4-3 
 
 50 
 
 199-7 
 
 150-5 
 
 ii 
 
 8.8 
 
 6.6 
 
 71 
 
 56.7 
 
 42.7 
 
 131 
 
 104. 6 
 
 78.8 
 
 191 
 
 152.5 
 
 114.9 
 
 251 
 
 200. 5 
 
 151.1 
 
 12 
 
 9.6 
 
 7-2 
 
 72 
 
 57-5 
 
 43-3 
 
 32 
 
 105.4 
 
 79-4 
 
 92 
 
 153-3 
 
 "5-5 
 
 52 
 
 201. 3 
 
 151-7 
 
 13 
 
 10. 4 
 
 7-8 
 
 73 
 
 58-3 
 
 43-9 
 
 33 
 
 1 06. 2 
 
 80.0 
 
 93 
 
 I54.I 
 
 1 16. 2 
 
 53 
 
 202. 1 
 
 152.3 
 
 4 
 
 11.2 
 
 8.4 
 
 74 
 
 59-i 
 
 44-5 
 
 34 
 
 107. o 
 
 80.6 
 
 94 
 
 154-9 
 
 II6.8 
 
 54 
 
 2O2. 9 
 
 152.9 
 
 15 
 
 12. 
 
 9.0 
 
 75 
 
 59-9 
 
 45-1 
 
 35 
 
 107.8 
 
 81.2 
 
 95 
 
 155-7 
 
 "7-4 
 
 55 
 
 203.7 
 
 153-5 
 
 16 
 
 12.8 
 
 9-6 
 
 76 
 
 60. 7 
 
 45-7 
 
 36 
 
 108.6 
 
 81.8 
 
 96 
 
 156.5 
 
 118. o 
 
 56 
 
 204.5 
 
 154.1 
 
 17 
 
 13-6 
 
 10. 2 
 
 77 
 
 61.5 
 
 46.3 
 
 37 
 
 109.4 
 
 82.4 
 
 97 
 
 157-3 
 
 118.6 
 
 57 
 
 205.2 
 
 154.7 
 
 18 
 
 14-4 
 
 \o. 8 
 
 78 
 
 62.3 
 
 46.9 
 
 38 
 
 I 10. 2 
 
 83.1 
 
 98 
 
 158. I 
 
 119. 2 
 
 58 
 
 206. o 
 
 155-3 
 
 19 
 
 15.2 
 
 11.4 
 
 79 
 
 63-1 
 
 47-5 
 
 39 
 
 III. O 
 
 83-7 
 
 99 
 
 158.9 
 
 II9.8 
 
 59 
 
 206.8 
 
 155-9 
 
 20 
 
 16. o 
 
 12. O 
 
 80 
 
 63.9 
 
 48. i 
 
 40 
 
 in. 8 
 
 84-3 
 
 200 
 
 I59.7 
 
 120. 4 
 
 60 
 
 207.6 
 
 156-5 
 
 21 
 
 16.8 
 
 12.6 
 
 81 
 
 64.7 
 
 48.7 
 
 141 
 
 112. 6 
 
 84-9 
 
 20 1 
 
 160. 5 
 
 121. O 
 
 261 
 
 208. 4 
 
 157. i 
 
 22 
 
 17.6 
 
 1.3-2 
 
 82 
 
 65-5 
 
 49-3 
 
 42 
 
 "3-4 
 
 85-5 
 
 02 
 
 161.3 
 
 121. 6 
 
 62 
 
 209. 2 
 
 157-7 
 
 23 
 
 18.4 
 
 13-8 
 
 83 
 
 66.3 
 
 50. o 
 
 43 
 
 114. 2 
 
 86.1 
 
 3 
 
 162. i 
 
 122.2 
 
 63 
 
 210. O 
 
 158-3 
 
 24 
 
 19.2 
 
 14-4 
 
 84 
 
 67.1 
 
 50.6 
 
 44 
 
 115. o 
 
 86. 7 
 
 04 
 
 162.9 
 
 122.8 
 
 64 
 
 210.8 
 
 158.9 
 
 25 
 
 20. o 
 
 15.0 
 
 85 
 
 67.9 
 
 51.2 
 
 45 
 
 II5.8 
 
 87-3 
 
 05 
 
 163-7 
 
 123-4 
 
 65 
 
 211. 6 
 
 159-5 
 
 26 
 
 20.8 
 
 I 5 .6 
 
 86 
 
 68.7 
 
 51-8 
 
 46 
 
 116. 6 
 
 87.9 
 
 06 
 
 164.5 
 
 124,0 
 
 66 
 
 212. 4 
 
 160. i 
 
 27 
 
 21.6 
 
 16.2 
 
 87 
 
 69. 5 
 
 52.4 
 
 47 
 
 117.4 
 
 88.5 
 
 07 
 
 I65-3 
 
 124. 6 
 
 67 
 
 213.2 
 
 160. 7 
 
 28 
 
 22.4 
 
 1 6. 9 
 
 88 
 
 7-3 
 
 53-o 
 
 48 
 
 118.2 
 
 89.1 
 
 08 
 
 1 66. i 
 
 125. 2 
 
 68 
 
 214.0 
 
 161.3 
 
 29 
 
 23.2 
 
 17-5 
 
 89 
 
 71.1 
 
 53-6 
 
 49 
 
 119. o 
 
 89.7 
 
 09 
 
 166.9 
 
 125.8 
 
 69 
 
 214.8 
 
 161.9 
 
 30 
 
 24.0 
 
 18. i 
 
 9 
 
 71.9 
 
 54-2 
 
 50 
 
 119.8 
 
 90-3 
 
 10 
 
 167-7 
 
 126.4 
 
 70 
 
 215. 6 
 
 162. 5 
 
 31 
 
 24,8 
 
 18.7 
 
 91 
 
 72.7 
 
 54-8 
 
 151 
 
 120. 6 
 
 90.9 
 
 211 
 
 168.5 
 
 127.0 
 
 271 
 
 216.4 
 
 163. i 
 
 32 
 
 25.6 
 
 19-3 
 
 92 
 
 73-5 
 
 55-4 
 
 52 
 
 121.4 
 
 91-5 
 
 12 
 
 169-3 
 
 127.6 
 
 72 
 
 217. 2 
 
 163-7 
 
 33 
 
 26. 4 
 
 19.9 
 
 93 
 
 74-3 
 
 56.0 
 
 53 
 
 122.2 
 
 92.1 
 
 13 
 
 170. i 
 
 128.2 
 
 73 
 
 218. o 
 
 164-3 
 
 34 
 
 27. 2 
 
 20. 5 
 
 94 
 
 75-i 
 
 56.6 
 
 54 
 
 123.0 
 
 92.7 
 
 H 
 
 170.9 
 
 128.8 
 
 74 
 
 218. 8 
 
 164.9 
 
 35 
 
 28.0 
 
 21. I 
 
 95 
 
 75-9 
 
 57.2 
 
 55 
 
 123.8 
 
 93-3 
 
 15 
 
 I71-7 
 
 129. 4 ' 
 
 75 
 
 219.6 
 
 165-5 
 
 3 6 
 
 28.8 
 
 21.7 
 
 96 
 
 76.7 
 
 57. a 
 
 56 
 
 124.6 
 
 93-9 
 
 16 
 
 172.5 
 
 130.0 
 
 
 220. 4 
 
 1 66. i 
 
 37 
 
 29-5 
 
 22-3 
 
 97 
 
 77-5 
 
 58-4 
 
 57 
 
 125.4 
 
 94-5 
 
 17 
 
 173-3 
 
 130. 6 
 
 77 
 
 221. 2 
 
 166.7 
 
 38 
 
 30.3 
 
 22-9 
 
 98 
 
 78-3 
 
 59-0 
 
 58 
 
 126.2 
 
 95-i 
 
 18 
 
 174.1 
 
 131.2 
 
 78 
 
 222.0 
 
 167-3 
 
 39 
 
 40 
 
 3'-i 
 31-9 
 
 23-5 
 24. I 
 
 99 
 
 IOO 
 
 79-1 
 79-9 
 
 59.6 
 60.2 
 
 59 
 60 
 
 I27.O 
 127.8 
 
 1 
 
 19 
 
 20 
 
 174-9 
 
 175-7 
 
 131.8 
 132.4 
 
 79 
 80 
 
 222.8 
 
 223. 6 
 
 167.9 
 168.5 
 
 4' 
 
 32-7 
 
 24-7 
 
 IOI 
 
 80. 7 
 
 60.8 
 
 161 
 
 128.6 
 
 96.9 
 
 221 
 
 176.5 
 
 133-0 
 
 281 
 
 224.4 
 
 169. i 
 
 42 
 
 33-5 
 
 25-3 
 
 02 
 
 81.5 
 
 61.4 
 
 62 
 
 129.4 
 
 97-5 
 
 22 
 
 177-3 
 
 133-6 
 
 82 
 
 225. 2 
 
 169.7 
 
 43 
 
 34-3 
 
 25.9 
 
 03 
 
 82.3 
 
 62. o 
 
 63 
 
 130.2 
 
 98.1 
 
 23 
 
 178. i 
 
 134.2 
 
 83 
 
 226. o 
 
 1/0.3 
 
 44 
 
 35-1 
 
 26.5 
 
 04 
 
 83.1 
 
 62.6 
 
 64 
 
 I3I.O 
 
 98-7 
 
 24 
 
 178.9 
 
 134.8 
 
 84 
 
 226.S 
 
 170.9 
 
 45 
 
 35-9 
 
 27.3 
 
 5 
 
 83-9 
 
 63.2 
 
 65 
 
 I3I.8 
 
 99-3 
 
 25 
 
 1/9-7 
 
 '35-4 
 
 SS 
 
 227. 6 
 
 I7I-5 
 
 46 
 
 36-7 
 
 27.7 
 
 06 
 
 84.7 
 
 63.8 
 
 66 
 
 132.6 
 
 99-9 
 
 26 
 
 iSp. 5 
 
 136.0 
 
 86 
 
 228. 4 
 
 172.1 
 
 47 
 48 
 
 &3 
 
 28.3 
 28.9 
 
 07 
 08 
 
 85.5 
 86.3 
 
 64.4 
 65.0 
 
 67 
 68 
 
 133-4 
 134-2 
 
 loo. 5 
 
 IOI. I 
 
 27 
 28 
 
 181-3 
 182. i 
 
 136.6 
 37-2 
 
 87 
 88 
 
 229. 2 
 230.0 
 
 172-7 
 173-3 
 
 49 
 
 39-' 
 
 29-5 
 
 09 
 
 87. i 
 
 65.6 
 
 69 
 
 I35.0 
 
 101. 7 
 
 29 
 
 182.9 
 
 137-8 
 
 89 
 
 230.8 
 
 173-9 
 
 So 
 
 39-9 
 
 30. I 
 
 IO 
 
 87.8 
 
 66. 2 
 
 70 
 
 135-8 
 
 102. 3 
 
 .1 
 
 183-7 
 
 138-4 
 
 90 
 
 231.6 
 
 174-5 
 
 5i 
 
 40. 7 
 
 3-7 
 
 III 
 
 88.6 
 
 66. a 
 
 171 
 
 136.6 
 
 102.9 
 
 231 
 
 184-5 
 
 i39.o 
 
 291 
 
 232-4 
 
 175.1 
 
 52 
 
 41-5 
 
 31-3 
 
 12 
 
 89.4 
 
 67.4 
 
 72 
 
 I37.4 
 
 103-5 
 
 32 
 
 i s 5-3 
 
 139.6 
 
 92 
 
 233-2 
 
 175-7 
 
 53 
 
 42-3 
 
 31-9 
 
 13 
 
 9O. 2 
 
 68.0 
 
 73 
 
 138.2 
 
 104. i 
 
 33 
 
 1 86. i 
 
 140. 2 
 
 93 
 
 234.0 
 
 176-3 
 
 54 
 
 43-1 
 
 32-5 
 
 14 
 
 91. o 
 
 68.6 
 
 74 
 
 139.0 
 
 104.7 
 
 34 
 
 186.9 
 
 140. 8 
 
 94 
 
 234-8 
 
 176.9 
 
 55 
 
 43-9 
 
 33-i 
 
 15 
 
 91.8 
 
 69. 2 
 
 75 
 
 139.8 
 
 105-3 
 
 35 
 
 187.7 
 
 141.4 
 
 95 
 
 235. 6 
 
 177-5 
 
 56 
 
 44- 7 
 
 33-7 
 
 It 
 
 92. 6 
 
 69.8 
 
 76 
 
 140. 6 
 
 105.9 
 
 36 
 
 188.5 
 
 142.0 
 
 96 
 
 236.4 
 
 178. I 
 
 57 
 
 45-5 
 
 34-3 
 
 17 
 
 93-4 
 
 70.4 
 
 77 
 
 141.4 
 
 106. 5 
 
 37 
 
 189-3 
 
 142.6 
 
 97 
 
 237-2 
 
 178.7 
 
 58 
 
 46-3 
 
 34-9 
 
 18 
 
 94.2 
 
 71.0 
 
 78 
 
 142/2 
 
 107. i 
 
 38 
 
 190. i 
 
 143-2 
 
 98 
 
 238.0 
 
 179-3 
 
 59 
 
 47.1 
 
 35-5 
 
 19 
 
 95-0 
 
 71. -6 
 
 79 
 
 143. o 
 
 107. 7 
 
 39 
 
 190.9 
 
 143-8 
 
 99 
 
 238.8 
 
 1/9-9 
 
 60 
 
 47-9 
 
 36.1 
 
 20 
 
 95.8 
 
 72.2 
 
 80 
 
 143.8 
 
 108.3 
 
 40 
 
 191. 7 
 
 144.4 
 
 300 
 
 239-6 
 
 180.5 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 53 Degrees. 
 
 150 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 38. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dcp. 
 
 I 
 
 0.8 
 
 0.6 
 
 61 
 
 48.1 
 
 37-6 
 
 121 
 
 95-3 
 
 74-5 
 
 181 
 
 142. 6 
 
 III.4 
 
 241 
 
 189.9 
 
 148.4 
 
 2 
 
 1.6 
 
 I. 2 
 
 62 
 
 48.9 
 
 38-2 
 
 22 
 
 96. i 
 
 75- 1 
 
 82 
 
 143-4 
 
 112. I 
 
 42 
 
 190. 7 
 
 149.0 
 
 3 
 
 2.4 
 
 i.S 
 
 63 
 
 49.6 
 
 38.8 
 
 23 
 
 96.9 
 
 75-7 
 
 83 
 
 144. 2 
 
 II2.7 
 
 43 
 
 191.5 
 
 149.6 
 
 4 
 
 3- 2 
 
 2 -5 
 
 64 
 
 50.4 
 
 39-4 
 
 24 
 
 97-7 
 
 76-3 
 
 84 
 
 145.0 
 
 "3-3 
 
 44 
 
 192. 3 
 
 150. 2 
 
 5 
 
 3-9 
 
 3-i 
 
 65 
 
 51.2 
 
 40. o 
 
 2 5 
 
 98.5 
 
 77.0 
 
 85 
 
 145-8 
 
 "3-9 
 
 45 
 
 193- i 
 
 150.8 
 
 6 
 
 4-7 
 
 3-7 
 
 66 
 
 52-0 
 
 40. 6 
 
 26 
 
 99-3 
 
 77.6 
 
 86 
 
 146. 6 
 
 114.5 
 
 46 
 
 '93-9 
 
 151.5 
 
 7 
 
 5-5 
 
 4-3 
 
 67 
 
 S 2.8 
 
 41.2 
 
 27 
 
 100. I 
 
 76.2 
 
 87 
 
 147.4 
 
 II5-I 
 
 47 
 
 194.6 
 
 152. 1 
 
 8 
 
 6-3 
 
 4-9 
 
 68 
 
 53-6 
 
 41.9 
 
 28 
 
 100. 9 
 
 78.8 
 
 88 
 
 148. i 
 
 115.7 
 
 48 
 
 195-4 
 
 152.7 
 
 9 
 
 
 5-5 
 
 69 
 
 54-4 
 
 42-5 
 
 2 9 
 
 101. 7 
 
 79-4 
 
 89 
 
 148^9 
 
 I ID. 4 
 
 49 
 
 196. 2 
 
 153-3 
 
 10 
 
 7-9 
 
 6.2 
 
 7 
 
 55- 2 
 
 43- i 
 
 3 
 
 102. 4 
 
 80.0 
 
 9 
 
 149- 7 
 
 117. o 
 
 5 
 
 197.0 
 
 153-9 
 
 ii 
 
 8.7 
 
 6.8 
 
 71 
 
 55-9 
 
 43-7 
 
 131 
 
 103. 2 
 
 80. 7 
 
 191 
 
 150.5 
 
 117. 6 
 
 251 
 
 197.8 
 
 154-5 
 
 12 
 
 9-5 
 
 7-4 
 
 72 
 
 56.7 
 
 44-3 
 
 
 104. o 
 
 81.3 
 
 92 
 
 >5!-3 
 
 118.2 
 
 S 2 
 
 198.6 
 
 155.1 
 
 13 
 
 10. 2 
 
 8.0 
 
 73 
 
 57-5 
 
 44-9 
 
 33 
 
 104. 8 
 
 81.9 
 
 93 
 
 152.1 
 
 118. 8 
 
 53 
 
 199.4 
 
 155.8 
 
 4 
 
 II. 
 
 8.6 
 
 74 
 
 58-3 
 
 45.6 
 
 34 
 
 105. 6 
 
 82.5 
 
 94 
 
 152.9 
 
 119.4 
 
 54 
 
 2OO. 2 
 
 156.4 
 
 15 
 
 ii. 8 
 
 9.2 
 
 75 
 
 59-1 
 
 46.2 
 
 35 
 
 1 06. 4 
 
 83.1 
 
 95 
 
 153-7 
 
 120. I 
 
 55 
 
 200. 9 
 
 157.0 
 
 16 
 
 12.6 
 
 9-9 
 
 7 6 
 
 59-9 
 
 46.8 
 
 36 
 
 107. 2 
 
 83-7 
 
 96 
 
 154-5 
 
 120. 7 
 
 
 201. 7- 
 
 157.6 
 
 17 
 
 '3-4 
 
 10.5 
 
 77 
 
 60. 7 
 
 47-4 
 
 37 
 
 1 08. o 
 
 84-3 
 
 97 
 
 155.2 
 
 121.3 
 
 57 
 
 62. 5 
 
 158.2 
 
 18 
 
 14.2 
 
 n. i 
 
 
 61.5 
 
 48.0 
 
 38 
 
 1 08. 7 
 
 85.0 
 
 <* 
 
 156. o 
 
 121.9 
 
 58 
 
 23- 3 
 
 158.8 
 
 19 
 
 
 11.7 
 
 79 
 
 62.3 
 
 48.6 
 
 39 
 
 109.5 
 
 85.6 
 
 99 
 
 156.8 
 
 .122-5 
 
 59 
 
 204. i 
 
 159-5 
 
 20 
 
 15. 8 
 
 12-3 
 
 80 
 
 63. o 
 
 49-3 
 
 40 
 
 110. 3 
 
 86.2 
 
 200 
 
 157.6 
 
 123. I 
 
 60 
 
 204.9 
 
 1 60. 1 
 
 21 
 
 16.5 
 
 12.9 
 
 81 
 
 63.8 
 
 49-9 
 
 141 
 
 ii i. i 
 
 86.8 
 
 201 
 
 158.4 
 
 '23-7 
 
 261 
 
 205. 7 
 
 1 60. 7 
 
 22 
 
 17-3 
 
 '3-5 
 
 82 
 
 64.6 
 
 50.5 
 
 42 
 
 in. 9 
 
 87-4 
 
 02 
 
 150. 2 
 
 124.4 
 
 62 
 
 206. 5 
 
 161. 3 
 
 23 
 
 1 8. i 
 
 14.2 
 
 83 
 
 65.4 
 
 51.1 
 
 43 
 
 112.7 
 
 SH. o 
 
 3 
 
 1 60. O 
 
 125. o 
 
 63 
 
 207. 2 
 
 161. 9 
 
 24 
 
 18.9 
 
 14.8 
 
 84 
 
 66.2 
 
 51-7 
 
 44 
 
 113-5 
 
 8U. 7 
 
 04 
 
 1 60. 8 
 
 125. 6 
 
 64 
 
 208. o 
 
 162. 5 
 
 25 
 
 19.7 
 
 I5-4 
 
 
 67. o 
 
 5 2 -3 
 
 45 
 
 114-3 
 
 89-3 
 
 5 
 
 161. 5 
 
 126. 2 
 
 65 
 
 208. 8 
 
 163.2 
 
 26 
 
 20. 5 
 
 1 6. o 
 
 86 
 
 67.8 
 
 52.9 
 
 46 
 
 115. o 
 
 89.9 
 
 06 
 
 162. 3 
 
 126.8 
 
 66 
 
 209. 6 
 
 163.8 
 
 27 
 
 21.3 
 
 16. 6 
 
 87 
 
 68.6 
 
 53-6 
 
 47 
 
 115.8 
 
 90.5 
 
 7 
 
 163-1 
 
 127.4 
 
 67 
 
 210. 4 
 
 164.4 
 
 28 
 
 22. I 
 
 17.2 
 
 88 
 
 69. 3 
 
 54.2 
 
 48 
 
 116.6 
 
 91.1 
 
 08 
 
 163.9 
 
 128. 1 
 
 68 
 
 211. 2 
 
 165. o 
 
 29 
 
 22. 9 
 
 17-9 
 
 89 
 
 70.1 
 
 54-8 
 
 49 
 
 117.4 
 
 
 09 
 
 164. 7 
 
 128. 7 
 
 69 
 
 212. O 
 
 i6<|. 6 
 
 3 
 
 23.6 
 
 ,8.5 
 
 90 
 
 70.9 
 
 55-4 
 
 5 
 
 118. 2 
 
 92-3 
 
 10 
 
 165-5 
 
 129.3 
 
 70 
 
 212. 8 
 
 i6b. 2 
 
 3i 
 
 24.4 
 
 19. i 
 
 91 
 
 71.7 
 
 56. o 
 
 151 
 
 119. o 
 
 93.0 
 
 211 
 
 166. 3 
 
 129.9 
 
 271 
 
 213. 6 
 
 166. 8 
 
 32 
 
 25.2 
 
 19-7 
 
 92 
 
 72-5 
 
 56.6 
 
 52 
 
 119.8 
 
 0.3. 6 
 
 12 
 
 167.1 
 
 I30-5 
 
 72 
 
 214-3 
 
 167.5 
 
 33 
 
 26. o 
 
 20. 3 
 
 93 
 
 73-3 
 
 57-3 
 
 53 
 
 120. 6 
 
 94. 2 
 
 13 
 
 167.8 
 
 131.1 
 
 73 
 
 2I5.I 
 
 1 68. I 
 
 34 
 
 26.8 
 
 20. 9 
 
 94 
 
 74-1 
 
 57-9 
 
 54 
 
 121. 4 
 
 94-8 
 
 14 
 
 168.6 
 
 131.8 
 
 74 
 
 215.9 
 
 1 68. 7 
 
 35 
 
 2 7 .6 
 
 2 '-5 
 
 95 
 
 74-9 
 
 58.5 
 
 55 
 
 122. I 
 
 95-4 
 
 15 
 
 169.4 
 
 132.4 
 
 75 
 
 216. 7 
 
 169.3 
 
 3 6 
 
 28.4 
 
 22. 2 
 
 96 
 
 75-6 
 
 59.1 
 
 5 6 
 
 122. 9 
 
 96. o 
 
 16 
 
 1/0. 2 
 
 133- 
 
 76 
 
 217.5 
 
 169.9 
 
 37 
 
 29.2 
 
 22.8 
 
 97 
 
 76.4 
 
 59-7 
 
 57 
 
 123-7 
 
 96.7 
 
 17 
 
 171. o 
 
 !33- 6 
 
 77 
 
 218.3 
 
 170.5 
 
 38 
 
 29.9 
 
 2 3-4 
 
 98 
 
 77.2 
 
 60. 3 
 
 58 
 
 124.5 
 
 97-3 
 
 18 
 
 I7I.8 
 
 134.2 
 
 78 
 
 219.4 
 
 171. 2 
 
 39 
 
 3-7 
 
 24. o 
 
 99 
 
 78.0 
 
 61. o 
 
 59 
 
 125-3 
 
 97-9 
 
 19 
 
 172. 6 
 
 134. 8 
 
 79 
 
 210. 9 
 
 171.8 
 
 40 
 
 3'-5 
 
 24.6 
 
 100 
 
 78.8 
 
 61.6 
 
 60 
 
 136. I 
 
 98-5 
 
 20 
 
 173-4 
 
 "35-4 
 
 80 
 
 220. 6 
 
 172-4 
 
 4i 
 
 3 2 -3 
 
 25.2 
 
 101 
 
 79.6 
 
 62.2 
 
 101 
 
 126. 9 
 
 99- i 
 
 221 
 
 174.2 
 
 136. i 
 
 281 
 
 221. 4 
 
 173-0 
 
 42 
 
 33-1 
 
 25-9 
 
 02 
 
 80.4 
 
 62.8 
 
 62 
 
 127.7 
 
 99-7 
 
 22 
 
 174-9 
 
 i3 6 -7 
 
 82 
 
 222. 2 
 
 I73- 6 
 
 43 
 
 33-9 
 
 26.5 
 
 3 
 
 81.2 
 
 63-4 
 
 63 
 
 128.4 
 
 100. 4 
 
 23 
 
 175-7 
 
 137-3 
 
 83 
 
 223. o 
 
 174.2 
 
 44 
 
 34-7 
 
 27.1 
 
 4 
 
 82. o 
 
 6A. 
 
 64 
 
 129. 2 
 
 101. O 
 
 24 
 
 176.5 
 
 I37--9 
 
 84 
 
 223.8 
 
 174.8 
 
 45 
 
 35-5 
 
 27.7 
 
 5 
 
 82.7 
 
 64.6 
 
 65 
 
 130. o 
 
 loi. 6 
 
 25 
 
 177-3 
 
 138-5 
 
 85 
 
 224. 6 
 
 '75-5 
 
 46 
 
 36.2 
 
 28.3 
 
 06 
 
 83-5 
 
 65-3 
 
 66 
 
 130.8 
 
 102. 2 
 
 26 
 
 178. i 
 
 I39.I 
 
 80 
 
 225.4 
 
 176.1 
 
 47 
 
 37-o 
 
 28.9 
 
 7 
 
 84-3 
 
 65.9 
 
 6 Z 
 
 131. 6 
 
 102. 8 
 
 2 7 
 
 178-9 
 
 139. 8 
 
 87 
 
 226. 2 
 
 1/6-7 
 
 48 
 
 37-8 
 
 29. 6 
 
 08 
 
 85. I 
 
 66.5 
 
 68 
 
 132-4 
 
 103.4 
 
 28 
 
 179-7 
 
 140.4 
 
 88 
 
 226. 9 
 
 177-3 
 
 49 
 
 38.6 
 
 30. 2 
 
 09 
 
 85-9 
 
 67.1 
 
 69 
 
 133-2 
 
 104. o 
 
 29 
 
 1 80. 5 
 
 141. o 
 
 89 
 
 227.7 
 
 177-9 
 
 5 
 
 39-4 
 
 30. 8 
 
 10 
 
 86.7 
 
 67-7 
 
 70 
 
 134.0 
 
 104.7 
 
 3 
 
 181. 2 
 
 141. 6 
 
 90 
 
 228.5 
 
 178.5 
 
 5' 
 
 40. 2 
 
 31-4 
 
 in 
 
 87.5 
 
 68.3 
 
 I?' 
 
 134-7 
 
 i5-3 
 
 2 3i 
 
 182.0 
 
 142. 2 
 
 291 
 
 229.3 
 
 179.2 
 
 5 2 
 
 41.0 
 
 32.0 
 
 12 
 
 88.3 
 
 69. o 
 
 72 
 
 135-5 
 
 105.9 
 
 32 
 
 182.8 
 
 142. 8 
 
 92 
 
 230. I 
 
 179.8 
 
 53 
 
 41.8 
 
 32-6 
 
 13 
 
 89.0 
 
 69.6 
 
 73 
 
 136.3 
 
 1 06. 5 
 
 33 
 
 183.6 
 
 143-4 
 
 93 
 
 230.9 
 
 1 80. 4 
 
 54 
 
 42. 6 
 
 33-2 
 
 H 
 
 89.8 
 
 70.2 
 
 74 
 
 I3M 
 
 107. I 
 
 34 
 
 184.4 
 
 144. I 
 
 94 
 
 231- 7 
 
 181.0 
 
 55 
 
 43-3 
 
 33-9 
 
 1C 
 
 90. 6 
 
 70. 8 
 
 
 137-9 
 
 107.7 
 
 35 
 
 l8c. 2 
 
 144-7 
 
 95 
 
 232. 5 
 
 181.6 
 
 5 
 
 44- i 
 
 34-5 
 
 10 
 
 91.4 
 
 71.4 
 
 76 
 
 i3 8 -7 
 
 1 08. 4 
 
 
 1 86. o 
 
 145-3 
 
 06 
 
 233-3 
 
 182. a 
 
 57 
 
 44-9 
 
 35- i 
 
 17 
 
 92.2 
 
 72.0 
 
 77 
 
 139-5 
 
 109. o 
 
 37 
 
 186. 8 
 
 145-9 
 
 97 
 
 234.0 
 
 182. 9 
 
 58 
 
 45-7 
 
 35-7 
 
 18 
 
 93-o 
 
 72.6 
 
 78 
 
 140.3 
 
 109. 6 
 
 
 187-5 
 
 146.5 
 
 08 
 
 234.3 
 
 183.5 
 
 59 
 
 4 6 -5 
 
 36-3 
 
 19 
 
 93-8 
 
 73-3 
 
 79 
 
 141. I 
 
 I 10. 2 
 
 39 
 
 188.3 
 
 147-1 
 
 99 
 
 235- 6 
 
 184. i 
 
 60 
 
 47-3 
 
 3 6 -9 
 
 20 
 
 94.6 
 
 73' 9 
 
 So 
 
 141. 8 
 
 110. 8^ 
 
 4 
 
 189. i 
 
 147.8 
 
 300 
 
 336. f. 
 
 184.7 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dlst 
 
 Dep. 
 
 Lat 
 
 [For 52 Degrees. 
 
 151 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 39. 
 
 DUt 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Diet. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep 
 
 .Dist. 
 
 Lat 
 
 Dep 
 
 I 
 
 0.8 
 
 0.6 
 
 6l 
 
 47-4 
 
 38.4 
 
 121 
 
 94.0 
 
 7 6.1 
 
 181 
 
 140. 7 
 
 "3-9 
 
 241 
 
 137-3 
 
 151. 7 
 
 2 
 
 1.6 
 
 1-3 
 
 62 
 
 48.2 
 
 39- 
 
 22 
 
 94.8 
 
 76.8 
 
 82 
 
 141.4 
 
 114.5 
 
 42 
 
 IS3. I 
 
 152.3 
 
 3 
 
 2-3 
 
 1-9 
 
 63 
 
 49-o 
 
 39.6 
 
 23 
 
 95.6 
 
 77-4 
 
 83 
 
 142. 2 
 
 115.2 
 
 43 
 
 188.8 
 
 152.9 
 
 4 
 
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 22 
 
 170. i 
 
 142- 7. 
 
 82 
 
 216. o 
 
 181. 3 
 
 43 
 
 32-9 
 
 27. 6 
 
 03 
 
 78.9 
 
 66.2 
 
 63 
 
 124.9 
 
 104. 8 
 
 23 
 
 170.8 
 
 143-3 
 
 83 
 
 216.8 
 
 181.9 
 
 44 
 
 33-7 
 
 28.3 
 
 04 
 
 79- 7 
 
 66.8 
 
 64 
 
 125. 6 
 
 105.4 
 
 24 
 
 171. 6 
 
 144. o 
 
 84' 
 
 217. 6 
 
 182.6 
 
 45 
 
 34-5 
 
 28. 9 
 
 5 
 
 80.4 
 
 67.5 
 
 65 
 
 126. 4 
 
 1 06. i 
 
 25 
 
 172.4 
 
 144.6 
 
 85 
 
 218.3 
 
 183. 2 
 
 46 
 
 35-2 
 
 29. 5 
 
 06 
 
 81.2 
 
 68. i 
 
 66 
 
 127. 2 
 
 1 06. 7 
 
 26 
 
 I73-I 
 
 145-3 
 
 86 
 
 219. i 
 
 183.8 
 
 47 
 
 36.0 
 
 30.2 
 
 7 
 
 82.0 
 
 68. 8 
 
 67 
 
 127.9 
 
 '07.3 
 
 27 
 
 173- 9 
 
 145-9 
 
 87 
 
 219.9 
 
 184-5 
 
 48 
 
 36.8 
 
 3- 9 
 
 08 
 
 82.7 
 
 69.4 
 
 68 
 
 128. 7 
 
 108. o 
 
 28 
 
 174-7 
 
 146. 6 
 
 88 
 
 220. 6 
 
 185. i 
 
 49 
 
 37-5 
 
 3'- 5 
 
 09 
 
 83.5 
 
 70. I 
 
 69 
 
 129-5 
 
 1 08. 6 
 
 29 
 
 1 75- 4 
 
 147.2 
 
 89 
 
 221.4 
 
 185.8 
 
 50 
 
 38.3 
 
 32.1 
 
 IO 
 
 84-3 
 
 70.7 
 
 7 
 
 130. 2 
 
 109.3 
 
 3 
 
 1/6. 2 
 
 147.8 
 
 90 
 
 222. 2 
 
 186.4 
 
 5' 
 
 39- ' 
 
 32.8 
 
 III 
 
 85.0 
 
 71-3 
 
 171 
 
 I3I.O 
 
 109.9 
 
 231 
 
 177.0 
 
 148.5 
 
 291 
 
 222. 9 
 
 187. i 
 
 52 
 
 39-8 
 
 33-4 
 
 12 
 
 85.8 
 
 72.0 
 
 72 
 
 I3I.8 
 
 no. 6 
 
 32 
 
 '77-7 
 
 M9- ' 
 
 92 
 
 223.7 
 
 187.7 
 
 53 
 
 40. 6 
 
 34- i 
 
 "3 
 
 86.6 
 
 72.6 
 
 73 
 
 '3 2 - 5 
 
 III. 2 
 
 33 
 
 178.5 
 
 149- 8 
 
 93 
 
 224.5 
 
 188.3 
 
 54 
 
 41.4 
 
 34-7 
 
 
 87-3 
 
 73-3 
 
 74 
 
 '33-3 
 
 in. 8 
 
 34 
 
 1/9-3 
 
 150.4 
 
 94 
 
 225. 2 
 
 189. o 
 
 55 
 
 42. I 
 
 35-4 
 
 IS 
 
 88. i 
 
 73-9 
 
 75 
 
 i34-i 
 
 112.5 
 
 35 
 
 180.0 
 
 151.1 
 
 95 
 
 226. o 
 
 189.6 
 
 56 
 
 42. 9 
 
 36. o 
 
 
 88.9 
 
 74-6 
 
 7 5 
 
 134.8 
 
 113.1 
 
 36 
 
 180. 8 
 
 15'- 7 
 
 96 
 
 226. 7 
 
 190.3 
 
 57 
 
 43-7 
 
 36.6 
 
 17 
 
 89.6 
 
 75-2 
 
 77 
 
 '35- 6 
 
 113.8 
 
 37 
 
 181.6 
 
 '5-- 3 
 
 97 
 
 227.5 
 
 190.9 
 
 5 
 
 44-4 
 
 37-3 
 
 18 
 
 90.4 
 
 75-8 
 
 78 
 
 136.4 
 
 114.4 
 
 38 
 
 182.3 
 
 
 98 
 
 228. 3 
 
 191. 6 
 
 59 
 
 45.2 
 
 37-9 
 
 '9 
 
 91.2 
 
 76.5 
 
 79 
 
 137. i 
 
 115.1 
 
 39 
 
 183. i 
 
 i S3- 6 
 
 99 
 
 229. o 
 
 192. 2 
 
 60 
 
 46. o 
 
 38-6 
 
 20 
 
 91.9 
 
 77-i 
 
 So 
 
 '37-9 
 
 115.7 
 
 40 
 
 183.9 
 
 '54-3 
 
 300 
 
 229. 8 
 
 192.8 
 
 Dist 
 
 Dep. 
 
 I -at. 
 
 DUt. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 [For 50 Degrees. 
 
 153 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 41. 
 
 Dlst. 
 
 Lat. 
 
 Dep. 
 
 Dlst 
 
 Lat 
 
 Dep. 
 
 Dlst 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dlst. 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.8 
 
 0.7 
 
 61 
 
 46. 
 
 40. o 
 
 121 
 
 91-3 
 
 79-4 
 
 181 
 
 136.6 
 
 118.7 
 
 241 
 
 181.9 
 
 158. I 
 
 2 
 
 ' 5 
 
 
 62 
 
 46.8 
 
 40.7 
 
 22 
 
 92.1 
 
 80.0 
 
 82 
 
 137-4 
 
 119.4 
 
 42 
 
 182.6 
 
 158.8 
 
 3 
 
 2-3 
 
 2.0 
 
 63 
 
 47-5 
 
 41-3 
 
 23 
 
 92.8 
 
 80. 7 
 
 83 
 
 I38.I 
 
 120. I 
 
 43 
 
 183. 4 
 
 >59-4 
 
 4 
 
 3- 
 
 2.6 
 
 64 
 
 48.3 
 
 42.0 
 
 24 
 
 93-6 
 
 81.4 
 
 84 
 
 138.9 
 
 120. 7 
 
 44 
 
 184. i 
 
 1 60. I 
 
 5 
 
 3-8 
 
 3-3 
 
 65 
 
 49.1 
 
 42.6 
 
 25 
 
 94-3 
 
 82.0 
 
 85 
 
 139.6 
 
 I2I.4 
 
 45 
 
 184.9 
 
 1 60. 7 
 
 6 
 
 4-5 
 
 3-9 
 
 66 
 
 49-8 
 
 43-3 
 
 26 
 
 95- ' 
 
 82.7 
 
 86 
 
 140.4 
 
 122.0 
 
 46 
 
 185.7 
 
 161.4 
 
 7 
 
 5-3 
 
 4.6 
 
 67 
 
 50. 6 
 
 44.0 
 
 27 
 
 95.8 
 
 83-3 
 
 87 
 
 141. I 
 
 122.7 
 
 47 
 
 186.4 
 
 162.0 
 
 g 
 
 6.0 
 
 5-2 
 
 68 
 
 5'-3 
 
 44.6 
 
 28 
 
 96. 6 
 
 84.0 
 
 88 
 
 141.9 
 
 123-3 
 
 48 
 
 187.2 
 
 162. 7 
 
 9 
 
 6.8 
 
 5-9 
 
 69 
 
 52.1 
 
 45-3 
 
 2 9 
 
 97-4 
 
 84.6 
 
 89 
 
 142. 6 
 
 124. o 
 
 49 
 
 187.9 
 
 163.4 
 
 10 
 
 7-5 
 
 6.6 
 
 70 
 
 52.8 
 
 45-9 
 
 3 
 
 98.1 
 
 85.3 
 
 90 
 
 143. 4 
 
 124.7 
 
 50 
 
 188.7 
 
 164.0 
 
 it 
 
 l>-3 
 
 7.2 
 
 71 
 
 53-6 
 
 46. 6 
 
 131 
 
 98.9 
 
 85-9 
 
 191 
 
 144.1 
 
 125-3 
 
 251 
 
 189.4 
 
 164.7 
 
 12 
 
 9- 
 
 7-9 
 
 72 
 
 54-3 
 
 47-2 
 
 3? 
 
 99.6 
 
 86.6 
 
 92 
 
 144.9 
 
 126. o 
 
 S 2 
 
 190. 2 
 
 165-3 
 
 13 
 
 9-8 
 
 8-5 
 
 73 
 
 55-1 
 
 47-9 
 
 33 
 
 100.4 
 
 87-3 
 
 93 
 
 '45-7 
 
 126.6 
 
 53 
 
 190.9 
 
 166.0 
 
 '4 
 
 10. 6 
 
 9.2 
 
 74 
 
 55-8 
 
 48-5 
 
 34 
 
 101. I 
 
 87.9 
 
 94 
 
 146.4 
 
 127.3 
 
 54 
 
 I9I.7 
 
 166.6 
 
 IS 
 
 "3 
 
 9.8 
 
 75 
 
 56.6 
 
 49.2 
 
 35 
 
 101.9 
 
 88.6 
 
 95 
 
 147.2 
 
 127.9 
 
 55 
 
 192.5 
 
 167-3 
 
 16 
 
 12. I 
 
 10.5 
 
 
 57-4 
 
 49-9 
 
 36 
 
 102. 6 
 
 89. -2 
 
 96 
 
 147.9 
 
 128.6 
 
 56 
 
 193-2 
 
 168.0 
 
 17 
 
 12.8 
 
 II. 2 
 
 77 
 
 58.1 
 
 50.5 
 
 37 
 
 103.4 
 
 89-9 
 
 97 
 
 148.7 
 
 129.2 
 
 57 
 
 194.0 
 
 168.6 
 
 18 
 
 13.6 
 
 n.8 
 
 78 
 
 5 3 -9 
 
 51.2 
 
 3 8 
 
 104. 1 
 
 90.5 
 
 98 
 
 149.4 
 
 129.9 
 
 58 
 
 194.7 
 
 169.3 
 
 19 
 
 14-3 
 
 12-5 
 
 79 
 
 59-6 
 
 51.8 
 
 39 
 
 104.9 
 
 91.2 
 
 99 
 
 150.2 
 
 130.6 
 
 
 '95-5 
 
 169.9 
 
 20 
 
 15.1 
 
 
 80 
 
 DO. 4 
 
 52.5 
 
 40 
 
 105.7 
 
 91.8 
 
 200 
 
 150.9 
 
 131.2 
 
 60 
 
 196. 2 
 
 170. 6 
 
 21 
 
 15.8 
 
 13-8 
 
 bi 
 
 61. i 
 
 53- i 
 
 141 
 
 106.4 
 
 92.5 
 
 20 1 
 
 151.7 
 
 131. 9 
 
 261 
 
 197.0 
 
 171.2 
 
 22 
 
 16.6 
 
 14.4 
 
 82 
 
 61.9 
 
 53-8 
 
 42 
 
 107.2 
 
 93-2 
 
 02 
 
 152.5 
 
 132-5 
 
 62 
 
 '97-7 
 
 71.9 
 
 23 
 
 17-4 
 
 15.1 
 
 83 
 
 62.6 
 
 54-5 
 
 43 
 
 107.9 
 
 93-8 
 
 3 
 
 ?53-2 
 
 '33-2 
 
 63 
 
 198.5 
 
 72.5 
 
 24 
 
 18. i 
 
 15-7 
 
 84 
 
 63-4 
 
 55-' 
 
 44 
 
 1 08. 7 
 
 94-5 
 
 04 
 
 154.0 
 
 '33-8 
 
 64 
 
 199.2 
 
 73-2 
 
 3 
 
 18.9 
 19.6 
 
 16.4 
 17.1 
 
 85 
 8.5 
 
 64. 2 
 64.9 
 
 55-8 
 56.4 
 
 a 
 
 109.4 
 no. 2 
 
 95-'i 
 95-8 
 
 06 
 
 '54-7 
 
 '55-5 
 
 '34' 5 
 I35-I 
 
 65 
 66 
 
 200. o 
 
 200.8 
 
 73-9 
 74-5 
 
 27 
 
 20.4 
 
 17-7 
 
 87 
 
 65.7 
 
 57-1 
 
 47 
 
 110.9 
 
 96.4 
 
 07 
 
 156.2 
 
 '35-8 
 
 67 
 
 201. 5 
 
 75-2 
 
 28 
 
 2!. I 
 
 1 8. .4 
 
 88 
 
 66.4 
 
 57-7 
 
 48 
 
 111.7 
 
 97.1 
 
 08 
 
 157.0 
 
 136-5 
 
 68 
 
 202. 3 
 
 75-8 
 
 29 
 
 21. 9 
 
 19. o 
 
 89 
 
 67.2 
 
 53.4 
 
 49 
 
 112. 5 
 
 97-8 
 
 09 
 
 I57.7 
 
 I37-I 
 
 69 
 
 203. o 
 
 176.5 
 
 3 
 
 22.6 
 
 19.7 
 
 90 
 
 67-9 
 
 59-o 
 
 5 
 
 113.2 
 
 98-4 
 
 10 
 
 158.5 
 
 137-8 
 
 70 
 
 203.8 
 
 177. i 
 
 3 1 
 
 23-4 
 
 20. 3 
 
 9' 
 
 68.7 
 
 59-7 
 
 151 
 
 114.0 
 
 99.1 
 
 211 
 
 159.2 
 
 138.4 
 
 271 
 
 204.5 
 
 177.8 
 
 32 
 
 24.2 
 
 21.0 
 
 92 
 
 69.4 
 
 60.4 
 
 52 
 
 114.7 
 
 99-7 
 
 12 
 
 160. o 
 
 '39-1 
 
 72 
 
 205-3 
 
 178.4 
 
 33 
 
 24.9 
 
 21.6 
 
 53 
 
 70.2 
 
 61.0 
 
 53 
 
 i'5-5 
 
 100.4 
 
 '3 
 
 160.8 
 
 139-7 
 
 73 
 
 206. o 
 
 179.1 
 
 34 
 
 25.7 
 
 22.3 
 
 94 
 
 70.9 
 
 61.7 
 
 54 
 
 no. 2 
 
 IOI. O 
 
 '4 
 
 161. 5 
 
 140.4 
 
 74 
 
 206.8 
 
 179-8 
 
 35 
 
 26.4 
 
 23.0 
 
 95 
 
 71-7 
 
 62.3 
 
 55 
 
 1 1 7. O 
 
 101. 7 
 
 15 
 
 162. 3 
 
 141. i 
 
 75 
 
 207.5 
 
 180.4 
 
 36 
 
 27.2 
 
 23. 6 
 
 96 
 
 72.5 
 
 63.0 
 
 56 
 
 117.7 
 
 102. 3 
 
 1 6 
 
 163. o 
 
 141.7 
 
 7 
 
 208.3 
 
 181. 1- 
 
 37 
 
 27.9 
 
 24-3 
 
 97 
 
 73-2 
 
 63.6 
 
 57 
 
 u8. 5 
 
 103. o 
 
 17 
 
 163.6 
 
 142.4 
 
 77 
 
 209. 1 
 
 181.7 
 
 38 
 
 28.7 
 
 24.9 
 
 98 
 
 74.0 
 
 64-3 
 
 S 8 
 
 119. 2 
 
 103.7 
 
 18 
 
 164.5 
 
 143.0 
 
 78 
 
 209. 8 
 
 182.4 
 
 39 
 
 29.4 
 
 25.6 
 
 99 
 
 74-7 
 
 64.9 
 
 59 
 
 1 2O. O 
 
 104.3 
 
 19 
 
 165-3 
 
 43-7 
 
 79 
 
 2IO/6 
 
 183.0 
 
 40 
 
 jj. 2 
 
 26. 2 
 
 100 
 
 75-5 
 
 65.6 
 
 DO 
 
 120.8 
 
 105.0 
 
 20 
 
 166. o 
 
 '44-3 
 
 80 
 
 2ir. 3 
 
 183-7 
 
 41 
 
 3-9 
 
 26.9 
 
 101 
 
 76. 2 
 
 66.3 
 
 161 
 
 121. 5 
 
 105.0 
 
 221 
 
 1 66. 8 
 
 145.0 
 
 281 
 
 212. I 
 
 184.4 
 
 42 
 
 3'-7 
 
 27.6 
 
 02 
 
 77.0 
 
 66.9 
 
 62 
 
 122.3 
 
 106.3 
 
 22 
 
 167.5 
 
 145.6 
 
 82 
 
 212.8 
 
 185.0 
 
 43 
 44 
 
 32.5 
 33-2 
 
 28.2 
 28.9 
 
 03 
 04 
 
 77-7 
 78.5 
 
 67.6 
 68.2 
 
 63 
 64 
 
 123. o 
 
 123.8 
 
 106.9 
 107. 6 
 
 23 
 24 
 
 168.3 
 169. i 
 
 146.3 
 147.0 
 
 83 
 84 
 
 213.6 
 214-3 
 
 185.7 
 186.3 
 
 4 I 
 46 
 
 34-0 
 34-7 
 
 29-5 
 30.2 
 
 3 
 
 79.2 
 80.0 
 
 68.9 
 69.5 
 
 65 
 66 
 
 124-5 
 '25.3 
 
 1 08. 2 
 
 108. 9 
 
 20 
 
 169.8 
 170. 6 
 
 147.6 
 148.3 
 
 85 
 86 
 
 215. I 
 215.8 
 
 187.0 
 187. 6 
 
 47 
 
 35-5 
 
 30.8 
 
 07 
 
 80.8 
 
 70.2 
 
 67 
 
 126. o 
 
 109. 6 
 
 27 
 
 '7'- 3 
 
 148.9 
 
 87 
 
 216.6 
 
 188.3 
 
 48 
 
 36.2 
 
 3'-5 
 
 08 
 
 81.5 
 
 70.9 
 
 68 
 
 126.8 
 
 no. 2 
 
 28 
 
 172.1 
 
 149.6 
 
 88 
 
 217.4 
 
 188.9 
 
 49 
 
 37-JQ 
 
 32.1 
 
 09 
 
 82.3 
 
 7'-5 
 
 69 
 
 127.5 
 
 110.9 
 
 29 
 
 172.8 
 
 150.2 
 
 89 
 
 218. i 
 
 189.6 
 
 5 
 
 37-7 
 
 32.8 
 
 10 
 
 83.0 
 
 72.2 
 
 70 
 
 128.3 
 
 111.5 
 
 3 
 
 173-6 
 
 150.9 
 
 90 
 
 218.9 
 
 190.3 
 
 5 
 
 38-5 
 
 33/5 
 
 III 
 
 83.8 
 
 72.8 
 
 171 
 
 129. I 
 
 112. 2 
 
 231 
 
 174.3 
 
 151-5 
 
 291 
 
 219. 6 
 
 190.9 
 
 52 
 
 39-2 
 
 34-1 
 
 12 
 
 84-5 
 
 73-5 
 
 72 
 
 129.8 
 
 112. 8 
 
 32 
 
 175.1 
 
 152. 2 
 
 92 
 
 220.4 
 
 191.6 
 
 53 
 
 40. o 
 
 34-8 
 
 '3 
 
 85.3 
 
 74-' 
 
 73 
 
 130.6 
 
 "3-5 
 
 33 
 
 175.8 
 
 152.9 
 
 93 
 
 221. I 
 
 192. 2 
 
 54 
 
 40.8 
 
 35-4 
 
 
 86.0 
 
 74-8 
 
 74 
 
 131.3 
 
 114. 2 
 
 34 
 
 176.6 
 
 53-5 
 
 94 
 
 221.9 
 
 192.9 
 
 55 
 
 41-5 
 
 36.1 
 
 15 
 
 86.8 
 
 75-4 
 
 75 
 
 132.1 
 
 114.8 
 
 35 
 
 1 77. 4 
 
 154.2 
 
 95 
 
 222. 6 
 
 >93- 5 
 
 56 
 
 42-3 
 
 36.7 
 
 10 
 
 87.5 
 
 76.1 
 
 76 
 
 132. 8 
 
 115.5- 
 
 36 
 
 178. i 
 
 154.8 
 
 96 
 
 223.4 
 
 194.2 
 
 57 
 
 43- 
 
 37-4 
 
 '7 
 
 88.3 
 
 76.8 
 
 77 
 
 13"". 6 
 
 116. i 
 
 37 
 
 178.9 
 
 155-5 
 
 97 
 
 224.1 
 
 .194.8 
 
 58 
 
 43-8 
 
 38.1 
 
 18 
 
 89.1 
 
 77-4 
 
 78 
 
 '34-3 
 
 116.8 
 
 38 
 
 179.6 
 
 156.1 
 
 98 
 
 224-9 
 
 195-5 
 
 59 
 
 44-5 
 
 38.7 
 
 '9 
 
 89.8 
 
 78.1 
 
 79 
 
 '35-' 
 
 117.4 
 
 39 
 
 I So, 4 
 
 
 99 
 
 225.7 
 
 190. 2 
 
 00 
 
 45-3 
 
 39-4 
 
 20 
 
 90. 6 
 
 78.7 
 
 80 
 
 135-8 
 
 118. 1 
 
 40 
 
 181. i 
 
 57r5 
 
 300 
 
 226.4 
 
 196.8 
 
 Dlst 
 
 Dep. 
 
 Lat 
 
 Dlst. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dfst. 
 
 Dep. 
 
 Lat. 
 
 [For 49 Degrees. 
 
 154 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 42. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Di=t. 
 
 Lat. 
 
 Dtp. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat' 
 
 Dep. 
 
 I 
 
 0.7 
 
 -7 
 
 6l 
 
 45-3 
 
 40.8 
 
 121 
 
 89.9 
 
 81.0 
 
 181 
 
 '34-S 
 
 121. I 
 
 241 
 
 179. I 
 
 161. 3 
 
 2 
 
 '5 
 
 '3 
 
 62 
 
 46. I 
 
 41.5 
 
 22 
 
 90. 7 
 
 81.6 
 
 82 
 
 '35-3 
 
 121. 8 
 
 tS 
 
 179.8 
 
 161. 9 
 
 3 
 
 2. 2 
 
 2. 
 
 63 
 
 46.8 
 
 42.2 
 
 2 3 
 
 91.4 
 
 82-3 
 
 83 
 
 136.0 
 
 '22- 5 
 
 43 
 
 ibo. 6 
 
 162.6 
 
 4 
 
 3- 
 
 2- 7 
 
 64 
 
 47.6 
 
 42.8 
 
 24 
 
 92.1 
 
 83.0 
 
 84 
 
 136- 7 
 
 123. I 
 
 44 
 
 181.3 
 
 "63-3 
 
 e 
 
 3-7 
 
 3-3 
 
 65 
 
 48-3 
 
 43-5 
 
 25 
 
 92-9 
 
 83.6 
 
 85 
 
 137-5 
 
 123.8 
 
 45 
 
 182. i 
 
 163-9 
 
 6 
 
 4-5 
 
 4-Q 
 
 66 
 
 49.0 
 
 44- 2 
 
 26 
 
 93- 6 
 
 84-3 
 
 86 
 
 138. 2 
 
 124. 5 
 
 46 
 
 182.8 
 
 164. 6 
 
 7 
 
 5-2 
 
 4-7 
 
 67 
 
 49-8 
 
 44- s 
 
 27 
 
 94-4 
 
 85.0 
 
 87 
 
 139. o 
 
 125. i 
 
 47 
 
 183.6 
 
 '65-3 
 
 8 
 
 5-9 
 
 5-4 
 
 68 
 
 5-5 
 
 45-5 
 
 28 
 
 95- i 
 
 85.6 
 
 88 
 
 '39- 7 
 
 125.8- 
 
 48 
 
 184.3 
 
 165.9 
 
 9 
 
 6.7 
 
 6.0 
 
 69 
 
 Si-3 
 
 46. 2 
 
 29 
 
 95-9 
 
 86. 3 
 
 89 
 
 140. 5 
 
 126. 5 
 
 49 
 
 185. o 
 
 166.6 
 
 10 
 
 7-4 
 
 6-7 
 
 70 
 
 52.0 
 
 46.8 
 
 3 
 
 96.6 
 
 87.0 
 
 9 
 
 I-JI.2 
 
 127.1 
 
 5 
 
 185.8 
 
 "67-3 
 
 ii 
 
 8.2 
 
 7-4 
 
 7 1 
 
 52.8 
 
 47-5 
 
 "3 1 
 
 97-4 
 
 87.7 
 
 191 
 
 141.9 
 
 127.8 
 
 251 
 
 1 86. 5 
 
 168. o 
 
 12 
 
 8.9 
 
 8.0 
 
 72 
 
 53-5 
 
 48. 2 
 
 32 
 
 98. i 
 
 88.3 
 
 9 2 
 
 142.7 
 
 128. 5 
 
 52 
 
 i7-3 
 
 168.6 
 
 "3 
 
 9-7 
 
 8.7 
 
 73 
 
 54.2 
 
 48.8 
 
 33 
 
 98.8 
 
 89.0 
 
 93 
 
 143-4 
 
 129. i 
 
 53 
 
 188.0 
 
 169.3 
 
 '4 
 
 10. 4 
 
 9-4 
 
 74 
 
 55.0 
 
 49- 5 
 
 34 
 
 99.6 
 
 89*. 7 
 
 94 
 
 144. 2 
 
 129. S 
 
 54 
 
 iSS. 8 
 
 170. o 
 
 '5 
 
 II. i 
 
 10. o 
 
 75 
 
 55-7 
 
 50.2 
 
 35 
 
 loo. 3 
 
 9-3 
 
 95 
 
 144-9 
 
 i3o-5 
 
 55 
 
 189-5 
 
 170. 6 
 
 16 
 
 II. 
 
 10. 7 
 
 76 
 
 56-5 
 
 50.9 
 
 36 
 
 IOI. I 
 
 91. o 
 
 96 
 
 '45-7 
 
 131. i 
 
 56 
 
 190. 2 
 
 I7I-3 
 
 >7 
 
 12.6 
 
 11.4 
 
 77 
 
 57.2 
 
 5'-5 
 
 37 
 
 101.8 
 
 91.7 
 
 97 
 
 146.4 
 
 131.8 
 
 57 
 
 191. o 
 
 172.0 
 
 18 
 
 13-4 
 
 12. 
 
 7 s 
 
 58.0 
 
 52.2 
 
 3 
 
 102. 6 
 
 92-3 
 
 98 
 
 147. i 
 
 132-5 
 
 53 
 
 191. 7 
 
 172. 6 
 
 19 
 
 14-1 
 
 12.7 
 
 79 
 
 58.7 
 
 52.9 
 
 39 
 
 103-3 
 
 93- 
 
 99 
 
 '47-9 
 
 '33-2 
 
 59 
 
 192.5 
 
 '73-3 
 
 20 
 
 14.9 
 
 13-4 
 
 80 
 
 59-5 
 
 53-5 
 
 40 
 
 104. o 
 
 93-7 
 
 200 
 
 148.6 
 
 1.13. 8 
 
 60 
 
 193.2 
 
 174.0 
 
 21 
 
 15. 6 
 
 14. I 
 
 81 
 
 60. 2 
 
 54-2 
 
 141 
 
 1 04. 8 
 
 94-3 
 
 201 
 
 149. 4 
 
 '34- 5 
 
 261 
 
 194.0 
 
 174.6 
 
 22 
 
 16.3 
 
 14.7 
 
 82 
 
 60. 9 
 
 54-9 
 
 42 
 
 105.5 
 
 95.0 
 
 02 
 
 150. i 
 
 135-2 
 
 62 
 
 194- 7 
 
 '75-3 
 
 23 
 
 17.1 
 
 15.4 
 
 3 
 
 61.7 
 
 55-5 
 
 43 
 
 1 06. 3 
 
 95-7 
 
 3 
 
 150.9 
 
 '35-8 
 
 63 
 
 '95-4 
 
 176.0 
 
 24 
 
 17.8 
 
 16. I 
 
 84 
 
 62.4 
 
 5 4.2 
 
 44 
 
 107. o 
 
 96.4 
 
 04 
 
 151. 6 
 
 '3 6 -5 
 
 64 
 
 196. 2 
 
 176.7 
 
 25 
 
 18. 6 
 
 I6. 7 
 
 85 
 
 63-2 
 
 56.9 
 
 45 
 
 107.8 
 
 97.0 
 
 5 
 
 '5 2 -3 
 
 137-2 
 
 65 
 
 196.9 
 
 "77-3 
 
 26 
 
 19-3 
 
 17.4 
 
 86 
 
 6 3-9 
 
 57-5 
 
 46 
 
 108.5 
 
 97-7 
 
 06 
 
 153- i 
 
 137-8 
 
 66 
 
 197-7 
 
 178.0 
 
 27 
 
 20. i 
 
 18. i 
 
 87 
 
 64. 7 
 
 58.2 
 
 47 
 
 log. 2 
 
 98.4 
 
 07 
 
 153-8 
 
 138-5 
 
 67 
 
 198.4 
 
 178.7 
 
 28 
 
 20.8 
 
 18.7 
 
 88 
 
 65.4 
 
 58-9 
 
 48 
 
 IIO. 
 
 99-o 
 
 08 
 
 154. 6 
 
 139.2 
 
 68 
 
 199.2 
 
 '79-3 
 
 29 
 
 21.6 
 
 19.4 
 
 89 
 
 66. i 
 
 59.6 
 
 49 
 
 no. 7 
 
 99- 7 
 
 09 
 
 155-3 
 
 139.8 
 
 69 
 
 199.9 
 
 i So. o 
 
 3 
 
 22.3 
 
 20. I 
 
 90 
 
 66.9 
 
 60. 2 
 
 5 
 
 111.5 
 
 100. 4 
 
 10 
 
 156. i 
 
 140. 5 
 
 TO 
 
 200. 6 
 
 i So. 7 
 
 3' 
 
 23.0 
 
 20-7 
 
 9' 
 
 67. 6 
 
 60. 9 
 
 i5' 
 
 112. 2 
 
 IOI. O 
 
 211 
 
 156. 8 
 
 141. 2 
 
 271 
 
 201. 4 
 
 .181.3 
 
 3 2 
 
 23-8 
 
 21.4 
 
 92 
 
 68.4 
 
 61.6 
 
 52 
 
 113. o 
 
 101. 7 
 
 12 
 
 J57-5 
 
 I4I.9 
 
 72 
 
 202. I 
 
 182.0 
 
 33 
 
 24.5 
 
 22. I 
 
 93 
 
 69. i 
 
 62. 2 
 
 53 
 
 i'3- 7 
 
 102. 4 
 
 '3 
 
 I58-3 
 
 142. 5 
 
 73 
 
 202. 9 
 
 182. 7 
 
 34 
 
 25-3 
 
 22.8 
 
 94 
 
 69.9 
 
 62. 9 
 
 54 
 
 114.4 
 
 103. o 
 
 4 
 
 159.0 
 
 143-2 
 
 74 
 
 203. 6 
 
 183-3 
 
 35 
 
 26. o 
 
 23-4 
 
 95 
 
 70. 6 
 
 63.6 
 
 55 
 
 115. 2 
 
 103- 7 
 
 15 
 
 159-8 
 
 143.9 
 
 75 
 
 204.4 
 
 184. o 
 
 3 6 
 
 26.8 
 
 24. I 
 
 96 
 
 7i-3 
 
 64.2 
 
 5 6 
 
 II5.9 
 
 104.4 
 
 Id 
 
 1 60. 5 
 
 144. 5 
 
 76 
 
 205. I 
 
 184.7 
 
 37 
 
 27.5 
 
 24.8 
 
 97 
 
 72-1 
 
 64.9 
 
 57 
 
 116. 7 
 
 105. i 
 
 17 
 
 161. 3 
 
 145-2 
 
 77 
 
 205.9 
 
 185-3 
 
 38 
 
 2$. 2 
 
 25-4 
 
 98 
 
 72.8 
 
 65.6 
 
 58 
 
 117.4 
 
 105. 7 
 
 18 
 
 162. o 
 
 145.9 
 
 78 
 
 206. 6 
 
 1 86. o 
 
 39 
 
 29. o 
 
 26. I 
 
 99 
 
 73-6 
 
 65. 2 
 
 59 
 
 118. 2 
 
 1 06. 4 
 
 J9 
 
 162. 7 
 
 146.5 
 
 79 
 
 207-3 
 
 1 86. 7 
 
 40 
 
 29. 7 
 
 26.8 
 
 IOO 
 
 74-3 
 
 66.9 
 
 60 
 
 118.9 
 
 107. i 
 
 20 
 
 l6 3- 5 
 
 147.2 
 
 80 
 
 208. i 
 
 187.4 
 
 4 1 
 
 3-S 
 
 27.4 
 
 101 
 
 75- i 
 
 67.6 
 
 161 
 
 119. 6 
 
 107. 7 
 
 221 
 
 164. 2 
 
 147-9 
 
 281 
 
 208.8 
 
 188. o 
 
 42 
 
 31.2 
 
 2<J. I 
 
 02 
 
 75-8 
 
 68-3 
 
 62 
 
 120. 4 
 
 1 08. 4 
 
 22 
 
 165. o 
 
 148.5 
 
 82 
 
 209. 6 
 
 1 88. 7 
 
 43 
 
 32.0 
 
 28.8 
 
 03 
 
 76.5 
 
 68.9 
 
 63 
 
 121. I 
 
 109. I 
 
 23 
 
 165.7 
 
 149.2 
 
 8 3 
 
 210. 3 
 
 189.4 
 
 44 
 
 32-7 
 
 29.4 
 
 04 
 
 77-3 
 
 69.6 
 
 64 
 
 121. 9 
 
 109. 7 
 
 24 
 
 1 66. 5 
 
 149.9 
 
 84 
 
 211. I 
 
 190. o 
 
 45 
 
 33-4 
 
 30. ! 
 
 5 
 
 78.0 
 
 7-3 
 
 65 
 
 122. 6 
 
 no. 4 
 
 25 
 
 167. 2 
 
 150. 6 
 
 85 
 
 211. 8 
 
 190. 7 
 
 46 
 
 34-2 
 
 30. 8 
 
 06 
 
 78.8 
 
 70.9 
 
 66 
 
 123.4 
 
 ill. i 
 
 26 
 
 168.0 
 
 151. 2 
 
 86 
 
 212. 5 
 
 191.4 
 
 47 
 
 34-9 
 
 3'-4 
 
 07 
 
 79-5 
 
 71.6 
 
 67 
 
 124. I 
 
 111.7 
 
 27 
 
 1 68. 7 
 
 151.9 
 
 fr 
 
 213-3 
 
 192. o 
 
 48 
 
 35-7 
 
 32-1 
 
 08 
 
 So. 3 
 
 72-3 
 
 63 
 
 124. 8 
 
 112. 4 
 
 28 
 
 169.4 
 
 152. 6 
 
 88 
 
 214. o 
 
 192. 7 
 
 49 
 
 3 6 -4 
 
 32-8 
 
 09 
 
 81.0 
 
 72.9 
 
 69 
 
 125. 6 
 
 113.1 
 
 29 
 
 170. 2 
 
 153.2 
 
 89 
 
 214.8 
 
 '93-4 
 
 5 
 
 37-2 
 
 33-5 
 
 10 
 
 81.7 
 
 73-6 
 
 7 
 
 126. 3 
 
 113.8 
 
 3 
 
 170. 9 
 
 153-9 
 
 90 
 
 215.5 
 
 194.0 
 
 5' 
 
 37- 
 
 34-1 
 
 III 
 
 pTj 
 
 74-3 
 
 I7 
 
 127. i 
 
 114.4 
 
 2 3' 
 
 171-7 
 
 154.6 
 
 291 
 
 216. 3 
 
 94- 7 
 
 52 
 
 38.6 
 
 34-8 
 
 12 
 
 8 3 . 2 
 
 74-9 
 
 72 
 
 127. 8 
 
 115.1 
 
 32 
 
 172.4 
 
 155.2 
 
 92 
 
 217. o 
 
 195.4 
 
 53 
 
 39-4 
 
 35-5 
 
 13 
 
 84.0 
 
 75-6 
 
 73 
 
 128.6 
 
 115.8 
 
 33 
 
 '73-2 
 
 '55-9 
 
 93 
 
 217.7 
 
 196. i 
 
 54 
 
 40. i 
 
 36.1 
 
 14 
 
 84.7 
 
 7<5. 3 
 
 74 
 
 229.3 
 
 116. 4 
 
 34 
 
 173-9 
 
 156. 6 
 
 94 
 
 218.5 
 
 196.7 
 
 S I 
 
 40.9 
 
 36.8 
 
 'I 
 
 o!' s 
 
 77.0 
 
 75 
 
 130. i 
 
 117.1 
 
 35 
 
 174.6 
 
 157.2 
 
 95 
 
 219. 2 
 
 197-4 
 
 56 
 
 41.6 
 
 37-5 
 
 10 
 
 86.2 
 
 77.6 
 
 76 
 
 130. 8 
 
 117. 8 
 
 3 6 
 
 175.4 
 
 157.9 
 
 96 
 
 22O. O 
 
 198. i 
 
 57 
 
 42.4 
 
 3 f'i 
 
 '7 
 
 86.9 
 
 7-3 
 
 77 
 
 I3I-5 
 
 118.4 
 
 37 
 
 176.1 
 
 158.6 
 
 97 
 
 220. 7 
 
 198.7 
 
 S8 
 
 43-1 
 
 38.8 
 
 18 
 
 ll-- 7 
 
 79.0 
 
 78 
 
 >32-3 
 
 119. 1 
 
 38 
 
 176.9 
 
 '59-3 
 
 98 
 
 221. 5 
 
 199-4 
 
 59 
 
 43-8 
 
 39.5 
 
 '9 
 
 88.4 
 
 79. .6 
 
 79 
 
 '33-0 
 
 119.8 
 
 39 
 
 177.6 
 
 '59-9 
 
 99 
 
 222. 2 
 
 200. I 
 
 60 
 
 44.6 
 
 40. i 
 
 20 
 
 89.2 
 
 80.3 
 
 BO 
 
 133-8 
 
 izo. 4 
 
 40 
 
 178.4 
 
 loo. 6 
 
 300 
 
 222. 9 
 
 200. 7 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dc ? . 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 1 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [For 48 Degrees. 
 
 155 
 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 43. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist 
 
 Lat. 
 
 Dep. 
 
 Dlst 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 Dist. 
 
 Lat 
 
 Dep. 
 
 I 
 
 0.7 
 
 o. 7 
 
 61 
 
 44- 6 
 
 41.6 
 
 121 
 
 88. 5 
 
 82. S 
 
 181 
 
 132.4 
 
 123.4 
 
 241 
 
 176.3 
 
 164.4 
 
 2 
 
 '5 
 
 1.4 
 
 62 
 
 45-3 
 
 42.3 
 
 22 
 
 89. 2 
 
 83. 2 
 
 82 
 
 I33. I 
 
 124. I 
 
 42 
 
 177-0 
 
 165. o 
 
 3 
 
 2. 2 
 
 2. O 
 
 63 
 
 40. i 
 
 43-o 
 
 23 
 
 90. o 
 
 8 3-9 
 
 83 
 
 133-8 
 
 124.8 
 
 43 
 
 177- 7 
 
 165. 7 
 
 4 
 
 2-9 
 
 2- 7 
 
 64 
 
 46.8 
 
 43- 6 
 
 2 4 
 
 90. 7 
 
 84.6 
 
 84 
 
 134.6 
 
 125.5 
 
 44 
 
 178.5 
 
 1 66. 4 
 
 5 
 
 3-7 
 
 3-4 
 
 65 
 
 47-5 
 
 44-3 
 
 25 
 
 91 4 
 
 85.2 
 
 85 
 
 135-3 
 
 126. 2 
 
 45 
 
 179.2 
 
 167. i 
 
 6 
 
 4-4 
 
 4- l 
 
 66 
 
 48-3 
 
 45 o 
 
 26 
 
 92. 2 
 
 85.9 
 
 86 
 
 136. o 
 
 126. 9 
 
 46 
 
 179-9 
 
 167.8 
 
 7 
 
 5- 1 
 
 4.8 
 
 6? 
 
 49- o 
 
 45-7 
 
 27 
 
 92.9 
 
 86. 6 
 
 87 
 
 136.8 
 
 127- 5 
 
 47 
 
 1 80. 6 
 
 168.5 
 
 8 
 
 5-9 
 
 5-5 
 
 68 
 
 49- 7 
 
 46. 4 
 
 28 
 
 93- 6 
 
 87-3 
 
 88 
 
 137.5 
 
 128. 2 
 
 48 
 
 181.4 
 
 169. i 
 
 9 
 
 6.6 
 
 6. i 
 
 69 
 
 50.5 
 
 47-1 
 
 29 
 
 94-3 
 
 88.0 
 
 89 
 
 138.2 
 
 128. 9 
 
 49 
 
 182. I 
 
 169.8 
 
 10 
 
 7-3 
 
 6.8 
 
 70 
 
 5 1 - 2 
 
 47- 7 
 
 3 
 
 95-i 
 
 88. 7 
 
 90 
 
 139.0 
 
 129. 6 
 
 5 
 
 182.8 
 
 170.5 
 
 ii 
 
 8.0 
 
 7-5 
 
 71 
 
 51.9 
 
 48. 4 
 
 131 
 
 95.8 
 
 89- 3 
 
 191 
 
 I39- 7 
 
 130-3 
 
 251 
 
 183.6 
 
 171.2 
 
 12 
 
 8.8 
 
 8.2 
 
 72 
 
 52.7 
 
 49- I 
 
 32 
 
 96.5 
 
 90. o 
 
 92 
 
 140.4 
 
 130.9 
 
 S 2 
 
 184.3. 
 
 171.9 
 
 '3 
 
 9-5 
 
 8.9 
 
 73 
 
 53-4 
 
 49-8 
 
 33 
 
 97-3 
 
 90. 7 
 
 93 
 
 141. 2 
 
 131. 6 
 
 53 
 
 185. o 
 
 172.5 
 
 14 
 
 10. 2 
 
 9-5 
 
 74 
 
 54-1 
 
 5-5 
 
 34 
 
 98.0 
 
 91.4 
 
 94 
 
 141.9 
 
 132-3 
 
 54 
 
 185.8 
 
 173-2 
 
 15 
 
 II. 
 
 10. 2 
 
 75 
 
 54-9 
 
 51 i 
 
 35 
 
 98.7 
 
 92. i 
 
 95 
 
 142. 6 
 
 133-0 
 
 55 
 
 186.5 
 
 173-9 
 
 16 
 
 ii. 7 
 
 10. 9 
 
 76 
 
 55-6 
 
 51 8 
 
 3 6 
 
 99- 5 
 
 92. 8 
 
 96 
 
 143-3 
 
 J33-7 
 
 56 
 
 187.2 
 
 174.6 
 
 17 
 
 12.4 
 
 ii. 6 
 
 77 
 
 56-3 
 
 52-5 
 
 37 
 
 100. 2 
 
 93-4 
 
 97 
 
 144. i 
 
 I3V4 
 
 57 
 
 188. o 
 
 175. 3 
 
 18 
 
 13.2 
 
 I2 -3 
 
 78 
 
 57-o 
 
 53-2 
 
 38 
 
 loo. 9 
 
 94- i 
 
 98 
 
 144.8 
 
 135-0 
 
 58 
 
 1 88. 7 
 
 176. o 
 
 19 
 
 13.9 
 
 
 79 
 
 57.8 
 
 53-9 
 
 39 
 
 101. 7 
 
 9V 8 
 
 99 
 
 145-5 
 
 !35- 7 
 
 59 
 
 189.4 
 
 176.6 
 
 20 
 
 14.6 
 
 \ll 
 
 80 
 
 58-5 
 
 54.6 
 
 40 
 
 1 02. 4 
 
 95-5 
 
 200 
 
 146.3 
 
 136. 4 
 
 60 
 
 190. 2 
 
 177-3 
 
 21 
 
 15.4 
 
 14-3 
 
 81 
 
 59-2 
 
 55-2 
 
 141 
 
 103. i 
 
 96. 2 
 
 201 
 
 147 o 
 
 137- i 
 
 261 
 
 190.9 
 
 1/8. 
 
 22 
 
 16. i 
 
 15.0 
 
 82 
 
 60. o 
 
 55-9 
 
 42 
 
 103.9 
 
 96.8 
 
 O2 
 
 147- 7 
 
 137.8 
 
 62 
 
 191. 6 
 
 178.7 
 
 23 
 
 16. 8 
 
 15-7 
 
 83 
 
 60. 7 
 
 56.6 
 
 43 
 
 104. 6 
 
 97-5 
 
 03 
 
 148.5 
 
 138.4 
 
 63 
 
 192.3 
 
 179-4 
 
 24 
 
 17.6 
 
 1 6. 4 
 
 84 
 
 61. 4 
 
 57-3 
 
 44 
 
 105-3 
 
 98.2 
 
 4 
 
 149 2 
 
 139- i 
 
 64 
 
 193- i 
 
 1 80. O 
 
 25 
 
 18-3 
 
 17.0 
 
 85 
 
 62. 2 
 
 5! o 
 
 45 
 
 106. o 
 
 98.9 
 
 05 
 
 149.9 
 
 139.8 
 
 65 
 
 193-8 
 
 i So. 7 
 
 26 
 
 19. o 
 
 17.7 
 
 86 
 
 62. 9 
 
 58-7 
 
 46 
 
 1 06. 8 
 
 99.6 
 
 06 
 
 150- 7 
 
 140. 5 
 
 66 
 
 194-5 
 
 181,4 
 
 2 7 
 
 19. 7 
 
 18.4 
 
 87 
 
 63. 6 
 
 50-3 
 
 47 
 
 107-5 
 
 100.3 
 
 07 
 
 151-4 
 
 141. 2 
 
 67 
 
 195-3 
 
 182.- 1 
 
 28 
 
 20.5 
 
 19.1 
 
 88 
 
 6+- 4 
 
 60. o 
 
 48 
 
 loS. 2 
 
 loo. 9 
 
 08 
 
 152. i 
 
 I4I.9 
 
 68 
 
 196. o 
 
 182.8 
 
 29 
 
 21. -2 
 
 19. 8 
 
 89 
 
 65.1 
 
 60.7 
 
 49 
 
 109. o 
 
 101. 6 
 
 09 
 
 152-9 
 
 142.5 
 
 69 
 
 196.7 
 
 183-5 
 
 3 
 
 21-9 
 
 20. 5 
 
 90 
 
 65.8 
 
 61.4 
 
 5 
 
 ic 9 . 7 
 
 1 02. 3 
 
 10 
 
 !53- 6 
 
 143- 2 
 
 70 
 
 1.97-5 
 
 184. i 
 
 3' 
 
 22. 7 
 
 21. I 
 
 9' 
 
 66. 6 
 
 62. i 
 
 15' 
 
 no. 4 
 
 103.0 
 
 211 
 
 !54- 3 
 
 H3-9 
 
 271 
 
 198.2 
 
 184.8 
 
 32 
 
 23-4 
 
 21.8 
 
 92 
 
 67-3 
 
 62.7 
 
 52 
 
 III. 2 
 
 103-7 
 
 12 
 
 155.0 
 
 144. 6 
 
 72 
 
 198. 9 
 
 185.5 
 
 33 
 
 24. I 
 
 22-5 
 
 93 
 
 68. o. 
 
 63. 4 
 
 53 
 
 in. 9 
 
 104-3 
 
 13 
 
 155.8 
 
 145-3 
 
 73 
 
 199-7 
 
 186.2 
 
 34 
 
 24- 9 
 
 23-2 
 
 94 
 
 68. 7 
 
 64.1 
 
 54 
 
 112. 6 
 
 105. o 
 
 14 
 
 156.5 
 
 145-9 
 
 74 
 
 200. 4 
 
 186.9 
 
 35 
 
 25.6 
 
 23-9 
 
 95 
 
 69-5 
 
 64.8 
 
 55 
 
 113.4 
 
 105. 7 
 
 15 
 
 157.2 
 
 146. 6 
 
 75 
 
 201. I 
 
 187.5 
 
 36 
 
 2S. 3 
 
 24. 6 
 
 96 
 
 70.2 
 
 65. 5 
 
 56 
 
 114. I 
 
 1 06. 4 
 
 16 
 
 158.0 
 
 147-3 
 
 76 
 
 201. 9 
 
 188.2 
 
 37 
 
 27. i 
 
 25.2 
 
 97 
 
 70.9 
 
 66.2 
 
 57 
 
 ii .8 
 
 107. i 
 
 17 
 
 158-7 
 
 148. o 
 
 77 
 
 202. 6 
 
 1 88. 9 
 
 3 
 
 27.8 
 
 25.9 
 
 98 
 
 71.7 
 
 66.8 
 
 58 
 
 115. 6 
 
 107.8 
 
 18 
 
 159-4 
 
 148.7 
 
 78 
 
 203-3 
 
 189.6 
 
 39 
 
 28.5 
 
 26.6 
 
 99 
 
 72-4 
 
 67.5 
 
 59 
 
 116. 3 
 
 1 08. 4 
 
 19 
 
 1 60. 2 
 
 149.4 
 
 79 
 
 204. o 
 
 190-3 
 
 40 
 
 29-3 
 
 27-3 
 
 IOO 
 
 73- i 
 
 68.2 
 
 60 
 
 117. o 
 
 109. i 
 
 20 
 
 1 60. 9 
 
 150. o 
 
 80 
 
 204. 8 
 
 191. o 
 
 4' 
 
 30. o 
 
 28. o 
 
 101 
 
 73-9 
 
 68.9 
 
 161 
 
 117. 7 
 
 109. 8 
 
 22! 
 
 161.6 
 
 150.7 
 
 281 
 
 205.5 
 
 191. 6 
 
 42 
 
 3- 7 
 
 28.6 
 
 02 
 
 74.6 
 
 69.6 
 
 62 
 
 118. 5 
 
 no. 5 
 
 22 
 
 162.4 
 
 151.4 
 
 83 
 
 2o6. 2 
 
 192-3 
 
 43 
 
 3i-4 
 
 29-3 
 
 03 
 
 75-3 
 
 70.2 
 
 63 
 
 119. 2 
 
 ni. 2 
 
 23 
 
 163. i 
 
 152. 1 
 
 83 
 
 207. o 
 
 193-0 
 
 44 
 
 32.2 
 
 30.0 
 
 04 
 
 76.1 
 
 70.9 
 
 64 
 
 119.9 
 
 in. 8 
 
 24 
 
 163.8 
 
 152.8 
 
 84 
 
 207.7 
 
 193-7 
 
 45 
 
 3 2 -9 
 
 3- 7 
 
 05 
 
 76. 8 
 
 71.6 
 
 65 
 
 120. 7 
 
 112.5 
 
 25 
 
 164.6 
 
 153-4 
 
 85 
 
 208.4 
 
 194-4 
 
 40 
 
 33-6 
 
 31-4 
 
 06 
 
 77. 5 
 
 72-3 
 
 66 
 
 121. 4 
 
 113.2 
 
 20 
 
 165. 3 
 
 154. 1 
 
 86 
 
 209. 2 
 
 195- ' 
 
 47 
 
 34-4 
 
 32- i 
 
 07 
 
 7 s - 3 
 
 73-o 
 
 67 
 
 122. I 
 
 "3-9 
 
 27 
 
 1 66. o 
 
 154.8 
 
 87 
 
 209. 9 
 
 195-7 
 
 48 
 
 35-i 
 
 32-7 
 
 08 
 
 79.0 
 
 73-7 
 
 68 
 
 122. 9 
 
 114. 6 
 
 28 
 
 1 66. 7 
 
 155-5 
 
 88 
 
 210. 6 
 
 196.4 
 
 49 
 
 35-8 
 
 33-4 
 
 09 
 
 79-7 
 
 74-3 
 
 69 
 
 123. 6 
 
 II5-3 
 
 29 
 
 167.5 
 
 156.2 
 
 89 
 
 211.4 
 
 197. i 
 
 5 
 
 36.6 
 
 34- I 
 
 10 
 
 80.4 
 
 75-0 
 
 
 124-3 
 
 115.9 
 
 3 
 
 168.2 
 
 156.9 
 
 9 
 
 212. I 
 
 197.8 
 
 51 
 
 37-3 
 
 34-8 
 
 in 
 
 81.2 
 
 75-7 
 
 171 
 
 I25.I 
 
 116. 6 
 
 231 
 
 1 68. 9 
 
 157.5 
 
 291 
 
 212.8 
 
 198.5 
 
 52 
 
 38.0 
 
 35-5 
 
 12 
 
 81.9 
 
 76.4 
 
 72 
 
 125.8 
 
 "7-3 
 
 32 
 
 169.7 
 
 158. 2 
 
 92 
 
 213. 6 
 
 199. i 
 
 53 
 
 38.8 
 
 36.1 
 
 13 
 
 82.6 
 
 7.7.1 
 
 73 
 
 126.5 
 
 118.0 
 
 33 
 
 170.4 
 
 158.9 
 
 93 
 
 214-3 
 
 199.8 
 
 54 
 
 39-5 
 
 36. 8 
 
 H 
 
 83-4 
 
 77-7 
 
 74 
 
 127-3 
 
 118. 7 
 
 34 
 
 171.1 
 
 159.6 
 
 94 
 
 215. o 
 
 200. 5 
 
 55 
 
 40. 2 
 
 37-5 
 
 15 
 
 84. i 
 
 78.4 
 
 75 
 
 128. o 
 
 "9-3 
 
 35 
 
 171.9 
 
 160. 3 
 
 95 
 
 215. 7 
 
 201. 2 
 
 56 
 
 41. o 
 
 38.2 
 
 16 
 
 84.8 
 
 79- i 
 
 76 
 
 128. 7 
 
 1 2O. O 
 
 36 
 
 172. 6 
 
 161. o 
 
 96 
 
 216.5 
 
 201. 9 
 
 57 
 
 41. 7 
 
 
 17 
 
 85.6 
 
 79-8 
 
 77 
 
 129.4 
 
 1 20. 7 
 
 37 
 
 173-3 
 
 161.6 
 
 97 
 
 217. 2 
 
 202. 6 
 
 58 
 
 42.4 
 
 39-6 
 
 18 
 
 86.3 
 
 80.5 
 
 78 
 
 130. 2 
 
 121. 4 
 
 38 
 
 174. i 
 
 162. 3 
 
 98 
 
 217.9 
 
 203. 2 
 
 59 
 
 43- i 
 
 40.2 
 
 '9 
 
 87.0 
 
 81.2 
 
 79 
 
 130.9 
 
 122. I 
 
 39 
 
 174.8 
 
 163. o 
 
 99 
 
 218. 7 
 
 203.9 
 
 60 
 
 43-9 
 
 40.9 
 
 20 
 
 87.8 
 
 81.8 
 
 So 
 
 131 6 
 
 122. 8 
 
 40 
 
 '75-5 
 
 163- 7 
 
 300 
 
 219.4 
 
 204. 6 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dlst. 
 
 Dep 
 
 Lat. 
 
 [For 47 Degrees. 
 
 156 
 
DIFFERENCE OF LATITUDE 
 
 AND DEPARTURE FOR 44. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dkt. 
 
 Lat. 
 
 Dep. 
 
 DiU. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 o- 7 
 
 o. 7 
 
 61 
 
 43-9 
 
 4-- 4 
 
 121 
 
 87.0 
 
 84.1 
 
 iGl 
 
 130. 2 
 
 25-7 
 
 241 
 
 '73-4 
 
 167.4 
 
 2 
 
 1-4 
 
 1.4 
 
 62 
 
 4 ',6 
 
 43- I 
 
 22 
 
 87.8 
 
 84.7 
 
 82 
 
 130.9 
 
 26.4 
 
 42 
 
 174. i 
 
 l6S. I 
 
 3 
 
 2. 2 
 
 2. I 
 
 63 
 
 45-3 
 
 43-8 
 
 23 
 
 83. 5 
 
 85.4 
 
 83 
 
 131. 6 
 
 27.1 
 
 43 
 
 174.8 
 
 I6S.8 
 
 4 
 
 2-9 
 
 2.8 
 
 64 
 
 46. o 
 
 44- 5 
 
 24 
 
 89.2 
 
 86. i 
 
 84 
 
 132.4 
 
 27.8 
 
 44 
 
 "75-5 
 
 169.5 
 
 5 
 
 3-6 
 
 3-5 
 
 65 
 
 46.8 
 
 45-2 
 
 25 
 
 89.9 
 
 86.8 
 
 S5 
 
 133- i 
 
 28.5 
 
 45 
 
 76.2 
 
 170. 2 
 
 6 
 
 4-3 
 
 4.* 
 
 66 
 
 47-5 
 
 45.8 
 
 26 
 
 90. 6 
 
 87.5 
 
 B6 
 
 '33-8 
 
 29. 2 
 
 46 
 
 77-o 
 
 170.9 
 
 7 
 
 5- 
 
 4-9 
 
 67 
 
 48.2 
 
 46. 5 
 
 27 
 
 91.4 
 
 88.2 
 
 87 
 
 '34-5 
 
 29.9 
 
 47 
 
 77-7 
 
 171-6 
 
 8 
 
 5-8 
 
 5-6 
 
 68 
 
 48.9 
 
 47.2 
 
 28 
 
 92.1 
 
 88.9 
 
 88 
 
 135-2 
 
 130. 6 
 
 48 
 
 78.4 
 
 172.3 
 
 9 
 
 6.5 
 
 6-3 
 
 6 9 
 
 49-6 
 
 47-9 
 
 29 
 
 92.8 
 
 89.6 
 
 89 
 
 136. o 
 
 i3'-3 
 
 49 
 
 79- l 
 
 173-0 
 
 10 
 
 7-2 
 
 6.9 
 
 70 
 
 50.4 
 
 48.6 
 
 3 
 
 93-5 
 
 9-3 
 
 90 
 
 '3 6 -7 
 
 132. o 
 
 5 
 
 79.8 
 
 1/3-7 
 
 ii 
 
 7-9 
 
 7.6 
 
 7' 
 
 51.1 
 
 49-3 
 
 '3' 
 
 94.2 
 
 91. o 
 
 191 
 
 137.4 
 
 132-7 
 
 251 
 
 180. 6 
 
 174-4 
 
 12 
 
 8.6 
 
 8-3 
 
 72 
 
 51.8 
 
 50. o 
 
 32 
 
 95.0 
 
 91. 7 
 
 92 
 
 138. i 
 
 133-4 
 
 5 2 
 
 181.3 
 
 175- i 
 
 >3 
 
 9-4 
 
 9.0 
 
 73 
 
 52-5 
 
 50.7 
 
 33 
 
 95-7 
 
 92.4 
 
 93 
 
 138.8 
 
 134- I 
 
 53 
 
 182.0 
 
 75 7 
 
 14 
 
 10. I 
 
 9-7 
 
 74 
 
 53-2 
 
 51.4 
 
 34 
 
 96.4 
 
 93- i 
 
 94 
 
 139.6 
 
 134-8 
 
 54 
 
 182. 7 
 
 176.4 
 
 IS 
 
 10.8 
 
 10.4 
 
 75 
 
 54-0 
 
 52-' 
 
 35 
 
 97- i 
 
 93-8 
 
 95 
 
 140.3 
 
 '35-5 
 
 55 
 
 83.4 
 
 177. i 
 
 16 
 
 "5 
 
 n. I 
 
 76 
 
 54-7 
 
 52-8 
 
 36 
 
 97.8 
 
 94-5 
 
 96 
 
 141.0 
 
 13^-2 
 
 56 
 
 184.2 
 
 177.8 
 
 >7 
 
 12. 2 
 
 ii. 8 
 
 77 
 
 55-4 
 
 53-5 
 
 37 
 
 98.5 
 
 95-2 
 
 97 
 
 141. 7 
 
 136.8 
 
 57 
 
 184.9 
 
 178.5 
 
 18 
 
 12. 9 
 
 '2-5 
 
 78 
 
 5 ^ 
 
 54-2 
 
 33 
 
 99-3 
 
 95-9 
 
 98 
 
 142.4 
 
 137-5 
 
 58 
 
 '85.6 
 
 179.2 
 
 19 
 
 '3-7 
 
 '3-2 
 
 79 
 
 56. 8 
 
 54-9 
 
 39 
 
 ICO. O 
 
 96. 6 
 
 99 
 
 143- i 
 
 133. 2 
 
 59 
 
 186.3 
 
 '79-9 
 
 -o 
 
 14.4 
 
 '3-9 
 
 80 
 
 57-5 
 
 55-6 
 
 4 
 
 loo. 7 
 
 97-3 
 
 200 
 
 143- 9 
 
 138.9 
 
 60 
 
 187, o 
 
 180.6 
 
 21 
 
 15.1 
 
 14. 6 
 
 81 
 
 5-3 
 
 56-3 
 
 I.} I 
 
 101. 4 
 
 97-9 
 
 201 
 
 144. 6 
 
 139. 6 
 
 261 
 
 187-7 
 
 lui. 3 
 
 22 
 
 15.8 
 
 15-3 
 
 82 
 
 59.0 
 
 57-0 
 
 42 
 
 102. I 
 
 98.6 
 
 O2 
 
 '45- 3 
 
 140.3 
 
 62 
 
 188.5 
 
 182. o 
 
 2 3 
 
 16.5 
 
 16. o 
 
 83 
 
 59-7 
 
 57-7 
 
 43 
 
 102. 9 
 
 99-3 
 
 3 
 
 146. o 
 
 141.0 
 
 63 
 
 189. 2 
 
 182.7 
 
 24 
 
 17-3 
 
 16.7 
 
 84 
 
 60. 4 
 
 58.4 
 
 44 
 
 103. 6 
 
 IOO. O 
 
 04 
 
 146.7 
 
 ML? 
 
 64 
 
 189.9 
 
 183.4 
 
 25 
 
 18. o 
 
 '7-4 
 
 85 
 
 61.1 
 
 59.0 
 
 45 
 
 104.3 
 
 loo. 7 
 
 5 
 
 147-5 
 
 142.4 
 
 65 
 
 190.6 
 
 184. i 
 
 26 
 
 18.7 
 
 18. i 
 
 86 
 
 61. 9 
 
 59- 7 
 
 46 
 
 105. o 
 
 101.4 
 
 ob 
 
 148.2 
 
 143- ' 
 
 65 
 
 I9I.3 
 
 184.8 
 
 27 
 
 19.4 
 
 18. 8 
 
 87 
 
 62.6 
 
 60. 4 
 
 47 
 
 105.7 
 
 IO2. I 
 
 7 
 
 148. 9 
 
 M3.8 
 
 67 
 
 192. I 
 
 '85.5 
 
 28 
 
 20. I 
 
 19-5 
 
 88 
 
 63-3 
 
 61. i 
 
 48 
 
 io5. 5 
 
 102.8 
 
 08 
 
 149.6 
 
 144-5 
 
 es 
 
 192.8 
 
 186.2 
 
 29 
 
 20. 9 
 
 20. I 
 
 89 
 
 64. o 
 
 61.8 
 
 49 
 
 107. 2 
 
 '3-5 
 
 09 
 
 I5.3 
 
 145-2 
 
 6 9 
 
 193-5 
 
 186.9 
 
 3 
 
 21.6 
 
 20.8 
 
 90 
 
 64.7 
 
 62.5 
 
 5 
 
 107.9 
 
 104.2 
 
 10 
 
 151.1 
 
 145-9 
 
 7 
 
 194.2 
 
 IS 7 .6 
 
 3' 
 
 22.3 
 
 21.5 
 
 91 
 
 65-5 
 
 63.2 
 
 >5i 
 
 108. 6 
 
 104.9 
 
 211 
 
 151.8 
 
 146. 6 
 
 271 
 
 194.9 
 
 188.3 
 
 32 
 
 23.0 
 
 22. 2 
 
 92 
 
 66.2 
 
 63-9 
 
 5 2 
 
 109. 3 
 
 105. 6 
 
 12 
 
 152.5 
 
 J47-3 
 
 72 
 
 195-7 
 
 iSS. 9 
 
 33 
 
 23.7 
 
 22. 9 
 
 93 
 
 66.9 
 
 64.6 
 
 53 
 
 110. I 
 
 ic6. 3 
 
 '3 
 
 153-2 
 
 148. o 
 
 73 
 
 196.4 
 
 189.6 
 
 34 
 
 24.5 
 
 23-6 
 
 94 
 
 67.6 
 
 65.3 
 
 54 
 
 1 10. 8 
 
 107.0 
 
 14 
 
 153-9 
 
 148.7 
 
 74 
 
 197-1 
 
 190.3 
 
 35 
 
 25.2 
 
 24-3 
 
 95 
 
 68.3 
 
 66. o 
 
 55 
 
 111.5 
 
 107. 7 
 
 15 
 
 154- 7 
 
 149.4 
 
 75 
 
 197-8 
 
 191. o 
 
 3 6 
 
 25.9 
 
 25. o 
 
 96 
 
 69. l 
 
 66. 7 
 
 5 6 
 
 112. 2 
 
 lc3. 4 
 
 16 
 
 I55.4 
 
 150. o 
 
 76 
 
 198.5 
 
 191.7 
 
 37 
 
 26.6 
 
 2 5-7 
 
 97 
 
 69.8 
 
 67.4 
 
 57 
 
 112. 9 
 
 leg. i 
 
 17 
 
 156. i 
 
 150.7 
 
 77 
 
 '99-3 
 
 192.4 
 
 38 
 
 27-3 
 
 26. 4 
 
 98 
 
 70.5 
 
 68. i 
 
 58 
 
 "3-7 
 
 109.8 
 
 18 
 
 156.8 
 
 151.4 
 
 78 
 
 20O. O 
 
 193- i 
 
 39 
 
 28. I 
 
 27. I 
 
 99 
 
 71. c 
 
 68.8 
 
 59 
 
 114.4 
 
 no. 5 
 
 '9 
 
 157.5 
 
 152.1 
 
 P 
 
 200. 7 
 
 193-8 
 
 40 
 
 28.8 
 
 27.8 
 
 IOO 
 
 71.9 
 
 69.5 
 
 60 
 
 115.1 
 
 in. i 
 
 20 
 
 1 5 s - 3 
 
 152.8 
 
 80 
 
 2ol. 4 
 
 94- 5 
 
 41 
 
 29.5 
 
 28.5 
 
 101 
 
 72.7 
 
 70. 2 
 
 161 
 
 115.8 
 
 in. 8 
 
 221 
 
 -159. o 
 
 1530 
 
 281 
 
 02. 1 
 
 195. 2 
 
 4- 
 
 30.2 
 
 29. 2 
 
 02 
 
 73-4 
 
 70.9 
 
 62 
 
 1 1 6. 5 
 
 112.5 
 
 22 
 
 I59.7 
 
 154.2 
 
 82 
 
 2O2. 9 
 
 '95-9 
 
 43 
 
 3-9 
 
 29. 9 
 
 03 
 
 74- i 
 
 71-5 
 
 63 
 
 H7.3 
 
 113.2 
 
 23 
 
 160.4 
 
 154.9 
 
 83 
 
 203. 6 
 
 196. 6 
 
 '4 
 
 3-7 
 
 30. 6 
 
 04 
 
 74-8 
 
 72.2 
 
 64 
 
 I 10. O 
 
 II3-9 
 
 24 
 
 161. 1 
 
 155.6 
 
 84 
 
 24- 3,. 
 
 197-3 
 
 45 
 
 32.4 
 
 3'- 3 
 
 5 
 
 75-5 
 
 72.9 
 
 65 
 
 118. 7 
 
 114. 6 
 
 25 
 
 161. o 
 
 156.3 
 
 85 
 
 205. o 
 
 158. o 
 
 46 
 
 33-1 
 
 32.0 
 
 06 
 
 76.3 
 
 73.6 
 
 6$ 
 
 119.4 
 
 II5-3- 
 
 26 
 
 162.6 
 
 157.0 
 
 86 
 
 205. 7 
 
 198.7 
 
 47 
 
 33-8 
 
 32.6 
 
 07 
 
 77.0 
 
 74-3 
 
 67 
 
 1:0. i 
 
 116. o 
 
 27 
 
 i 6 3-3 
 
 57-7 
 
 87 
 
 206. 5 
 
 199.4 
 
 48 
 
 34-5 
 
 33-3 
 
 08 
 
 77-7 
 
 75.0 
 
 68 
 
 120.8 
 
 116. 7 
 
 28 
 
 164. o 
 
 158.4 
 
 8S 
 
 207.2 
 
 200. I 
 
 49 
 
 35-2 
 
 34-0 
 
 09 
 
 78.4 
 
 75-7 
 
 69 
 
 121. 6 
 
 -U 7. 4 
 
 29 
 
 164.7 
 
 159. i 
 
 89 
 
 207.9 
 
 200. 8 
 
 5 
 
 36. o 
 
 34-7 
 
 10 
 
 79. i- 
 
 76.4 
 
 70 
 
 122.3 
 
 118. i 
 
 3 
 
 165.4 
 
 159.8 
 
 90 
 
 208.6 
 
 201. 5 
 
 51 
 
 3-7 
 
 35-4 
 
 III 
 
 79.8 
 
 77-' 
 
 171 
 
 123. o 
 
 1 1.3. 8 
 
 231 
 
 166. 2 
 
 1 60. 5 
 
 291 
 
 209.3 
 
 202. 1 
 
 52 
 
 37-4 
 
 36.' 
 
 12 
 
 80.6 
 
 77-8 
 
 72 
 
 '23.7 
 
 "9-5 
 
 32 
 
 1 66. 9 
 
 161. 2 
 
 92 
 
 210. 
 
 202.8 
 
 53 
 
 3.i 
 
 36.8 
 
 3 
 
 8'- 3 
 
 78.5 
 
 73 
 
 124.4 
 
 120. 2 
 
 33 
 
 167.6 
 
 161. 9 
 
 93 
 
 210.8 
 
 203.5 
 
 54 
 
 38.8 
 
 37-5 
 
 14 
 
 82.0 
 
 79-2 
 
 74 
 
 125.2 
 
 120. 9 
 
 34 
 
 168. 3 
 
 162.6 
 
 94 
 
 211. 5 
 
 204, 2 
 
 55- 
 
 39-6 
 
 38-2 
 
 15 
 
 82.7 
 
 79-9 
 
 75 
 
 125.9 
 
 121. 6 
 
 35 
 
 169. o 
 
 163. 2 
 
 9 5 
 
 212. 2 
 
 204.9 
 
 56 
 
 40-3 
 
 3S-9 
 
 16 
 
 83-4 
 
 80.6 
 
 76 
 
 126,6 
 
 122,3 
 
 36 
 
 169. 8 
 
 63.9 
 
 9 5 
 
 212. 9 
 
 205. 6 
 
 57 
 
 41. o 
 
 39-6 
 
 17 
 
 84. 2 
 
 81.3 
 
 77 
 
 ".27- 3 
 
 123. o 
 
 37 
 
 170.5 
 
 164.6 
 
 97 
 
 213.6 
 
 206. 3 
 
 58 
 
 41. 7 
 
 40-3 
 
 18 
 
 84.9 
 
 82.0 
 
 78 
 
 128.0 
 
 123. 6 
 
 3 s 
 
 171.2 
 
 1 6 5.3 
 
 98 
 
 214.4 
 
 207. o 
 
 g 
 
 42.4 
 43-2 
 
 41. o 
 41.7 
 
 19 
 
 20 
 
 85.6 
 86. 3 
 
 82.7" 
 83.4 
 
 g 
 
 128.8 
 129.5 
 
 124.3 
 125.0 
 
 39 
 
 40 
 
 171.9 
 172. 6 
 
 1 06. O 
 
 1 66. 7 
 
 99 
 300 
 
 2I 5 .I 
 215.8 
 
 207.7 
 208.4 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 DUt. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 Dist. 
 
 Dep. 
 
 Lat. 
 
 [ For 46 L)cgrees. 
 
 157 
 
DIFFERENCE OF LATITUDE AND DEPARTURE FOR 45. 
 
 Disk 
 
 Lot. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 Dist. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 0.7 
 
 0.7 
 
 61 
 
 43- i 
 
 43-1 
 
 121 
 
 85.6 
 
 85.6 
 
 181 
 
 128.0 
 
 128.0 
 
 241 
 
 170.4 
 
 170.4 
 
 2 
 
 1.4 
 
 1.4 
 
 62 
 
 43-8 
 
 43-8 
 
 22 
 
 80.3 
 
 86.3 
 
 82 
 
 128.7 
 
 128. 7 
 
 42 
 
 I7I.I 
 
 171.1 
 
 3 
 
 2. I 
 
 2. I 
 
 3 
 
 44-5 
 
 44- S 
 
 23 
 
 87.0 
 
 87.0 
 
 ! 3 
 
 129.4 
 
 129.4 
 
 43 
 
 171.8 
 
 171.8 
 
 4 
 5 
 
 2.8 
 
 3-5 
 
 2.8 
 
 3-5 
 
 64 
 65 
 
 43-3 
 46.0 
 
 43-3 
 46.0 
 
 24 
 
 2 5 
 
 *7 7 
 88.4 
 
 87.7 
 88.4 
 
 84 
 I s 
 
 130. I 
 IJ0.8 
 
 130. i 
 130.8 
 
 44 
 
 45 
 
 172.5 
 173-2 
 
 172.5 
 173-2 
 
 6 
 
 4.2 
 
 4.2 
 
 66 
 
 46.7 
 
 46. 7 
 
 26 
 
 89.1 
 
 89.1 
 
 86 
 
 131.5 
 
 131-5 
 
 4 
 
 '73-9 
 
 173-9 
 
 7 
 
 4-9 
 
 4-9 
 
 67 
 
 47-4 
 
 47-4 
 
 27 
 
 89.8 
 
 89.8 
 
 87 
 
 IJ2.3 
 
 132.2 
 
 47 
 
 '74-7 
 
 "74-7 
 
 8 
 
 5-7 
 
 5-7 
 
 68 
 
 48.1 
 
 48. I 
 
 28 
 
 90.5 
 
 90.5 
 
 88 
 
 132.9 
 
 132-9 
 
 48 
 
 J75-4 
 
 75-4 
 
 9 
 
 6.4 
 
 6.4 
 
 69 
 
 48.8 
 
 48.8 
 
 29 
 
 91.2 
 
 91.2 
 
 89 
 
 I33- 6 
 
 133-6 
 
 49 
 
 176.1 
 
 1/6. i 
 
 10 
 
 7- 1 
 
 7- 
 
 70 
 
 49- 5 
 
 49- S 
 
 3 
 
 9i-9_, 
 
 91.9 
 
 90 
 
 I34._4 
 
 134.4 
 
 S2 
 
 176.8 
 
 176.8 
 
 u 
 
 7-8 
 
 7-8 
 
 7' 
 
 50.2 
 
 50.2 
 
 131 
 
 92. 6 
 
 92.6 
 
 191 
 
 35- i 
 
 I35-I 
 
 2 S' 
 
 177-5 
 
 177-5 
 
 12 
 
 8-5 
 
 8-5 
 
 72 
 
 5-9 
 
 5-9 
 
 32 
 
 93-3 
 
 93-3 
 
 92 
 
 135-8 
 
 '35-8 
 
 52 
 
 178.2 
 
 178.2 
 
 13 
 
 9.2 
 
 9.2 
 
 73 
 
 51.6 
 
 51.6 
 
 33 
 
 94.0 
 
 94-0 
 
 93 
 
 I36.S 
 
 '36-5 
 
 S3 
 
 178.9 
 
 178.9 
 
 M 
 
 9-9 
 
 9-9 
 
 74 
 
 52-3 
 
 52-3 
 
 34 
 
 94.8 
 
 94.8 
 
 94 
 
 137-2 
 
 '37-2 
 
 5.4 
 
 179.6 
 
 179.6 
 
 >5 
 
 16 
 
 10. 6 
 "3 
 
 10. 6 
 "3 
 
 75 
 76 
 
 53-o 
 S3- 7 
 
 3- 
 3-7 
 
 35 
 3 6 
 
 96.2 
 
 96.2 
 
 95 
 96 
 
 I37.9 
 138.6 
 
 '37-9 
 138.6 
 
 s$ 
 
 56 
 
 180.3 
 
 181.0 
 
 iSo. 3 
 iSi.o 
 
 J7 
 
 12.0 
 
 12.0 
 
 77 
 
 54-4 
 
 54-4 
 
 37 
 
 96.9 
 
 96.9 
 
 97 
 
 >39-3 
 
 J39-3 
 
 57 
 
 181.7 
 
 181.7 
 
 J3 
 
 12.7 
 
 12.7 
 
 73 
 
 55-2 
 
 55-2 
 
 3 
 
 97.6 
 
 97.6 
 
 98 
 
 140. o 
 
 140.0 
 
 58 
 
 182.4 
 
 182.4 
 
 >9 
 
 1-6-4- 
 
 13-4 
 
 79 
 
 55-9 
 
 55-9 
 
 39 
 
 9^-3 
 
 98.3 
 
 99 
 
 140.7 
 
 140.7 
 
 59 
 
 183. i 
 
 183. i 
 
 20 
 
 1A. I 
 
 14- I 
 
 80 
 
 56.6 
 
 5&-6 
 
 40 
 
 99.0 
 
 99-0 
 
 200 
 
 141.4 
 
 141.4 
 
 60 
 
 183.8 
 
 183.8 
 
 ii 
 
 14. S 
 
 14.8 
 
 81 
 
 57-3 
 
 57-3 
 
 141 
 
 99-7 
 
 99-7 
 
 2O I 
 
 142. i 
 
 142. i 
 
 261 
 
 184.6 
 
 184.6 
 
 22 
 
 15.6 
 
 15.6 
 
 82 
 
 58.0 
 
 58.0 
 
 42 
 
 100.4 
 
 100.4 
 
 02 
 
 142.8 
 
 142.8 
 
 62 
 
 185-3 
 
 185.3 
 
 !3 
 
 16.3 
 
 16.3 
 
 3 
 
 53.7 
 
 53.7 
 
 43 
 
 101. I 
 
 I'M I 
 
 3 
 
 H3-5 
 
 '43-5 
 
 ^3 
 
 l6. o 
 
 186.0 
 
 24 
 
 17.0 
 
 17.0 
 
 84 
 
 59-4 
 
 59-4 
 
 44 
 
 ioi.8 
 
 101.8 
 
 04 
 
 144.2 
 
 144.2 
 
 64 
 
 186.7 
 
 186.7 
 
 25 
 
 7-7 
 
 7- 7 
 
 85 
 
 60. i 
 
 60. I 
 
 45 
 
 102. 5 
 
 102. S 
 
 OS 
 
 145.0 
 
 145.0 
 
 65 
 
 187.4 
 
 187.4 
 
 25 
 
 18.4 
 
 18.4 
 
 85 
 
 60.8 
 
 60.8 
 
 46 
 
 103.2 
 
 IO3. 2 
 
 06 
 
 145-7 
 
 145-7 
 
 66 
 
 iSS. i 
 
 183. 1 
 
 27 
 
 19. i 
 
 19. i 
 
 7 
 
 61.5 
 
 61.5 
 
 47 
 
 >3-9 
 
 103.9 
 
 7 
 
 146.4 
 
 146.4 
 
 67 
 
 188.8 
 
 iSS.8 
 
 28 
 
 19.8 
 
 19.8 
 
 88 
 
 62.2 
 
 62.2 
 
 48 
 
 104.7 
 
 104.7 
 
 08 
 
 147.1 
 
 147- ' 
 
 68 
 
 189.5 
 
 189.5 
 
 29 
 
 20.5 
 
 20. 5 
 
 89 
 
 62. 9 
 
 62.9 
 
 49 
 
 105.4 
 
 IOS.4 
 
 09 
 
 147.8 
 
 147.8 
 
 69 
 
 190.2 
 
 190.2 
 
 go 
 
 21.2 
 
 21.2 
 
 90 
 
 63.6 
 
 63.6 
 
 5 
 
 106. i 
 
 ic5. i 
 
 10 
 
 148.5 
 
 148.5 
 
 7 
 
 190.9 
 
 190.9 
 
 3' 
 
 21.9 
 
 21.9 
 
 9i 
 
 64-3 
 
 64-3 
 
 15' 
 
 106.8 
 
 106.8 
 
 211 
 
 149.2 
 
 149.2 
 
 271 
 
 191.6 
 
 191.6 
 
 32 
 
 32.6 
 
 22.6 
 
 92 
 
 65.1 
 
 65.1 
 
 52 
 
 107.5 
 
 107.5 
 
 12 
 
 149.9 
 
 149.9 
 
 72 
 
 192.3 
 
 192.3 
 
 33 
 34 
 
 23-3 
 24.0 
 
 23-3 
 24.0 
 
 93 
 94 
 
 65.8 
 66. 5 
 
 65.8 
 66.5 
 
 53 
 
 54 
 
 108.2 
 108.9 
 
 108. 2 
 108.9 
 
 13 
 
 14 
 
 150.6 
 iSi-3 
 
 150.6 
 I5I-3 
 
 73 
 74 
 
 193.0 
 '93-7 
 
 193.0 
 193-7 
 
 35 
 
 24.7 
 
 24.7 
 
 95 
 
 67.2 
 
 67.2 
 
 55 
 
 109.6 
 
 109.6 
 
 5 
 
 152.0 
 
 152.0 
 
 75 
 
 '94-5 
 
 '94-5 
 
 35 
 
 25-5 
 
 25-5 
 
 96 
 
 67.9 
 
 67.9 
 
 5 6 
 
 110.3 
 
 II0.3 
 
 16 
 
 152.7 
 
 152.7 
 
 76 
 
 195.2 
 
 195.2 
 
 37 
 3* 
 
 26.2 
 26.9 
 
 26.2 
 26.9 
 
 9 
 
 68.6 
 69-3 
 
 63.6 
 69-3 
 
 P 
 
 1II.O 
 
 111.7 
 
 III.O 
 III.7 
 
 17 
 18 
 
 153-4 
 154. i 
 
 153-4 
 J54-I 
 
 JZ 
 
 >95-9 
 196.6 
 
 '95-9 
 196.6 
 
 33 
 
 27.6 
 
 27.6 
 
 99 
 
 70. o 
 
 70.0 
 
 59 
 
 112.4 
 
 H2.4 
 
 '9 
 
 154-9 
 
 154-9 
 
 79 
 
 197-3 
 
 197-3 
 
 43 
 
 23. .1 
 
 28.3 
 
 IOO 
 
 70.7 
 
 70.7 
 
 60 
 
 in. i 
 
 113. I 
 
 20 
 
 '55-6 
 
 '55-6 
 
 80 
 
 198.0 
 
 198.0 
 
 <I 
 
 ij.0 
 
 29.0 
 
 101 
 
 71.4 
 
 71.4 
 
 101 
 
 113.8 
 
 II3.8 
 
 221 
 
 156.3 
 
 156.3 
 
 281 
 
 198.7 
 
 198.7 
 
 42 
 
 2>7 
 
 29.7 
 
 02 
 
 72.1- 
 
 72.1 
 
 62 
 
 114.6 
 
 II4.6 
 
 22 
 
 i57.o 
 
 157.0 
 
 82 
 
 199-4 
 
 199.4 
 
 43 
 
 3^-4 
 
 33-4 
 
 C3 
 
 72.8 
 
 72.8 
 
 *3 
 
 "5-3 
 
 "5-3 
 
 23 
 
 57. 7 
 
 157-7 
 
 83 
 
 200. I 
 
 200. i 
 
 44 
 
 3*-i 
 
 3'-' 
 
 04 
 
 73- S 
 
 73- S 
 
 64 
 
 116. o 
 
 no. o 
 
 24 
 
 158.4 
 
 158.4 
 
 84 
 
 200.8 
 
 200.8 
 
 45 
 
 31.8 
 
 31.8 
 
 05 
 
 74-2 
 
 74.2 
 
 ; 
 
 116. 7 
 
 116. 7 
 
 25 
 
 IS9- J 
 
 159.1 
 
 85 
 
 201.5 
 
 201.5 
 
 4 5 
 
 32-5 
 
 32-5 
 
 06 
 
 75-0 
 
 75.0 
 
 65 
 
 117.4 
 
 117.4 
 
 26 
 
 159-8 
 
 159.8 
 
 86 
 
 202.2 
 
 202. 2 
 
 47 
 
 33-2 
 
 33-2 
 
 7 
 
 75-7 
 
 75-7 
 
 67 
 
 I I'M 
 
 118. i 
 
 27 
 
 1 60. 5 
 
 160.5 
 
 87 
 
 202.9 
 
 202.9 
 
 43 
 
 33-9 
 
 33-9 
 
 08 
 
 76.4 
 
 76.4 
 
 63 
 
 II8.8 
 
 liS.8 
 
 28 
 
 161. 2 
 
 161.2 
 
 88 
 
 203.6 
 
 203.6 
 
 49 
 
 34-6 
 
 34-6 
 
 09 
 
 7M 
 
 77-1 
 
 69 
 
 "9-3 
 
 119.5 
 
 29 
 
 161.9 
 
 161.9 
 
 89 
 
 204.4 
 
 204.4 
 
 50 
 
 35- A 
 
 35-4 
 
 10 
 
 77-8 
 
 77.8 
 
 70 
 
 120.2 
 
 120.2 
 
 30 
 
 162.6 
 
 162.6 
 
 90 
 
 205. I 
 
 205. I 
 
 1 
 
 36.1 
 
 36.1 
 
 in 
 
 7^-5 
 
 7*. 5' 
 
 171 
 
 1'20. 9 
 
 120.9 
 
 231 
 
 6 3-3 
 
 163-3 
 
 291 
 
 205.8 
 
 205.8 
 
 52 
 
 36.8 
 
 36.8 
 
 12 
 
 79-2 
 
 79-2 
 
 72 
 
 121. 6 
 
 121. 6 
 
 32 
 
 164.0 
 
 164.0 
 
 92 
 
 206.5 
 
 206. 5 
 
 53 
 
 37-5 
 
 3Z-S 
 
 13 
 
 79-9 
 
 79-9 
 
 73 
 
 122.3 
 
 122.3 
 
 33 
 
 164.8 
 
 164.8 
 
 93 
 
 207.2 
 
 207.2 
 
 54 
 
 P 
 
 38.2 
 
 38.9 
 39-6 
 
 38.2 
 
 38.9 
 39-6 
 
 H 
 
 IS 
 
 16 
 
 80.6 
 
 81.3 
 82.0 
 
 0.6 
 81.3 
 
 82..0 
 
 74 
 75 
 76 
 
 123.0 
 '23-7 
 124.5 
 
 123.0 
 
 123-7 
 124.5 
 
 34 
 
 3 
 
 165.5 
 166.2 
 166.9 
 
 165.5 
 166.2 
 166.9 
 
 94 
 
 9 
 
 207.9 
 208.6 
 209.3 
 
 207.9 
 208.6 
 209.3 
 
 57 
 
 40-3 
 
 40.3 
 
 i? 
 
 82.7 
 
 82.7 
 
 77 
 
 I?5.2 
 
 125-2 
 
 37 
 
 167.6 
 
 167,6 
 
 97 
 
 2IO. O 
 
 2IO. O 
 
 58 
 
 41.0 
 
 41.0 
 
 iS 
 
 83-4 
 
 83-4 
 
 73 
 
 I2;. 9 
 
 "25-9 
 
 38 
 
 168.3 
 
 168/3 
 
 98 
 
 210. 7 
 
 210.7 
 
 59 
 
 41.7 
 
 41.7 
 
 19 
 
 84. i 
 
 84. 1 
 
 79 
 
 126.6 
 
 126.6 
 
 39 
 
 169.0 
 
 169.0 
 
 99 
 
 2II.4 
 
 211.4 
 
 60 
 
 42.4, 
 
 
 20 
 
 84-9 
 
 84.9 
 
 80 
 
 IZ7-3 
 
 127- 3 
 
 40 
 
 169.7 
 
 169.7 
 
 300 
 
 212. I 
 
 212. I 
 
 Dist. 
 
 Dep. 
 
 Lat. | Dist. 
 
 Dep. 
 
 Let. 
 
 Dlst 
 
 Dep. 
 
 Lat. 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 Dist 
 
 Dep. 
 
 Lat. 
 
 [For 45 Dep-ees. 
 
 158 
 
TABLE II. 
 
 REFRACTION, DIP, AND PARALLAX 
 
, AINU 
 
 ^ 
 
 
 4_3 . 
 
 
 -O 
 
 
 - 
 
 
 , . 
 
 
 
 ~ rt" 
 
 
 r- CD 
 
 
 r^ ^ 
 
 
 fl CD 
 
 
 r- CD 
 
 
 
 0>T-j 
 
 
 
 '2 
 
 6 
 
 g'O 
 
 i 
 
 O 
 
 S- D 
 
 6 
 
 Is 
 
 o 
 
 DIP OP THE SEA 
 
 |.l 
 
 03 a 
 .2 
 
 SJ 
 
 03 S 
 
 .2 
 
 EJ 
 
 c3 3 
 
 .2 
 
 
 ^1 
 
 03 
 
 03 P 
 
 .2 
 
 HORIZON. 
 
 
 0) *-> 
 
 
 D *J 
 
 
 
 
 
 
 i. 
 
 
 <3<1 
 
 tf 
 
 <^ 
 
 03 
 
 .t <ri 
 ^j 
 
 M 
 
 < ^ 
 
 PH 
 
 ^j*^ 
 ^ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Height 
 
 Dip of 
 
 
 
 
 
 
 
 
 
 
 / 
 
 / // 
 
 1 
 
 / // 
 
 / 
 
 / // 
 
 O 1 1 II 
 
 O / 
 
 / // 
 
 of the 
 
 the Ho- 
 
 
 
 9 30 
 
 5 35 
 
 15 
 
 3 34! 
 
 25 2 4 
 
 42 
 
 1 5 
 
 Eye. 
 
 rizon. 
 
 
 
 36 29 
 
 35 
 
 5 32 
 
 10 
 
 3 32 
 
 10 2 3 
 
 20 
 
 1 3 
 
 
 
 1 
 
 24 53 
 
 40 
 
 5 29 
 
 20 
 
 3 29 
 
 20 2 2 
 
 40 
 
 1 3 
 
 
 
 2 
 
 18 25 
 
 45 
 
 5 27 
 
 30 
 
 3 27 
 
 30 2 1 
 
 43 
 
 1 2 
 
 Ft 
 
 / // 
 
 3 
 
 14 25 
 
 50 
 
 5 24 
 
 40 
 
 3 25! 
 
 40 2 1 
 
 20 
 
 1 2 
 
 1 
 
 59 
 
 4 
 
 11 44 
 
 55 
 
 5 22 
 
 50 
 
 3 22 
 
 50 2 
 
 40 
 
 1 1 
 
 2 
 
 1 23 
 
 5 
 
 9 52 
 
 10 
 
 5 19 
 
 16 
 
 3 20 
 
 26 1 59 
 
 44 
 
 1 
 
 3 
 
 1 42 
 
 5 
 
 9 44 
 
 5 
 
 5 17 
 
 10 
 
 3 18 
 
 10 1 58 
 
 20 
 
 59 
 
 4 
 
 1 58 
 
 10 
 
 9 36 
 
 10 
 
 5 14 
 
 20 
 
 3 16 
 
 20 1 57 
 
 40 
 
 59 
 
 5 
 
 2 11 
 
 15 
 
 9 28 
 
 15 
 
 5 12 
 
 30 
 
 3 14 
 
 30 1 56 
 
 45 
 
 58 
 
 6 
 
 2 24 
 
 20 
 
 9 21 
 
 20 
 
 5 9 
 
 40 
 
 3 12 
 
 40 1 55 
 
 20 
 
 57 
 
 7 
 
 2 36 
 
 25 
 
 9 14 
 
 25 
 
 5 7 
 
 50 
 
 3 10 
 
 50 1 54 
 
 40 
 
 57' 
 
 8 
 
 2 46 
 
 5 30 
 
 9 7 
 
 10 30 
 
 5 5 
 
 17 
 
 3 8 
 
 27 
 
 1 54 
 
 46 56 
 
 9 
 
 2 56 
 
 35 
 
 9 
 
 35 
 
 5 2 
 
 10 
 
 3 6 
 
 10 
 
 1 53 
 
 20 55 
 
 10 
 
 3 06 
 
 40 
 
 8 53 
 
 40 
 
 5 
 
 20 
 
 3 5 
 
 20 
 
 1 52 
 
 40 
 
 55 
 
 11 
 
 3 15 
 
 45 
 
 8 47 
 
 45 
 
 4 58 
 
 30 
 
 3 3 
 
 30 
 
 1 51! 
 
 47 
 
 54 
 
 12 
 
 3 24 
 
 50 
 
 8 46 
 
 50 
 
 4 56 
 
 40 
 
 3 1 
 
 40 
 
 1 51 
 
 20 
 
 54 
 
 13 
 
 1 t 
 
 3 32 
 
 *> M f\ 
 
 55 
 
 8 34 
 
 55 
 
 4 53 
 
 50 
 
 2 59 
 
 50 
 
 1 50 
 
 40 
 
 53 
 
 14 
 
 j 40 
 
 
 
 
 
 
 
 
 
 
 
 15 
 
 3 48 
 
 6 
 
 8 28 
 
 11 
 
 4 51 
 
 18 
 
 2 57 
 
 28 
 
 1 49 
 
 48 
 
 52 
 
 16 
 
 3 55 
 
 5 
 
 8 22 
 
 5 
 
 4 49 
 
 10 
 
 2 56 
 
 20 
 
 1 48 
 
 49 
 
 9 50 
 
 17 
 
 4 02 
 
 10 
 
 8 16 
 
 10 
 
 4 47 
 
 20 
 
 2 54 
 
 40 
 
 1 46 
 
 50 
 
 49 
 
 18 
 
 T v<** 
 
 4 09 
 
 15 
 
 8 10 
 
 15 
 
 4 4-5 
 
 30 
 
 2 52 
 
 29 
 
 1 45 
 
 51 
 
 47 
 
 19 
 
 4 16 
 
 20 
 
 8 5 
 
 20 
 
 4 43 
 
 40 
 
 2 51 
 
 20 
 
 1 43 
 
 52 
 
 45 
 
 20 
 
 4 23 
 
 25 
 
 7 59 
 
 25 
 
 4 41 
 
 50 
 
 2 49 
 
 40 
 
 1 42 
 
 53 
 
 44 
 
 21 
 
 4 29 
 
 6 30 
 
 7 54 
 
 11 30 
 
 4 39! 
 
 19 
 
 2 48' 
 
 30 
 
 1 40 
 
 54 
 
 42 
 
 22 
 
 4 36 
 
 35 
 
 7 49 
 
 t? 
 
 4 37 
 
 10 
 
 2 46; 
 
 20 
 
 1 39 
 
 55 
 
 41 
 
 23 
 
 4 42 
 
 40 
 
 7 43 
 
 
 
 4 35 
 
 20 
 
 2 45 
 
 40 
 
 1 38 
 
 56 
 
 39 
 
 24 
 
 4 48 
 
 45 
 
 7 38 
 
 45 
 
 4 33 
 
 30 
 
 2 43 
 
 31 
 
 1 37 
 
 57 
 
 37 
 
 25 
 
 4 54 
 
 50 
 
 7 33 
 
 50 
 
 4 31 
 
 40 
 
 2 42 
 
 20 
 
 1 35 J 
 
 58 
 
 36 
 
 26 
 
 5 00 
 
 55 
 
 7 28 
 
 55 
 
 4 29 
 
 50 
 
 2 40 
 
 40 
 
 1 34 
 
 59 
 
 35 
 
 27 
 
 5 06 
 
 7 
 
 7 24 
 
 12 
 
 4 27 
 
 20 
 
 2 39 
 
 32 
 
 1 33 
 
 60 
 
 33 
 
 28 
 
 5 11 
 
 5 
 
 7 19 
 
 5 
 
 4 26 
 
 10 
 
 2 37 
 
 20 
 
 1 32 
 
 61 
 
 32 
 
 29 
 
 5 17 
 
 10 
 
 7 14 
 
 10 
 
 4 24 
 
 20 
 
 2 36 
 
 40 
 
 1 31 
 
 62 
 
 31 
 
 30 
 
 5 22 
 
 15 
 
 7 10 
 
 15 
 
 4 22 
 
 30 
 
 2 35 
 
 33 
 
 OA 
 
 1 29 
 
 63 
 
 30 
 
 
 
 20 
 
 7 6 
 
 20 
 
 4 20 
 
 40 
 
 2 33 
 
 20 
 
 1 2S 
 
 64 
 
 28 
 
 
 25 
 
 7 1 
 
 25 
 
 4 19 
 
 50 
 
 2 32 
 
 40 
 
 1 27 
 
 65 
 
 27 
 
 THE SUN'S PAR- 
 
 7 30 
 
 6 57 
 
 12 30 
 
 4 17 
 
 21 
 
 2 31 
 
 34 
 
 1 26 
 
 66 
 
 26 
 
 ALLAX IN ALTI- 
 
 35 
 
 6 53 
 
 35 
 
 4 15 
 
 10 
 
 2 29 
 
 20 
 
 1 25 
 
 t)7 
 
 25 
 
 TUDE. 
 
 40 
 
 6 49 
 
 40 
 
 4 13 
 
 20 
 
 2 28 
 
 40 
 
 1 24 
 
 68 
 
 23 
 
 
 45 
 
 6 45 
 
 45 
 
 4 12 
 
 30 
 
 2 27 
 
 35 
 
 1 23 
 
 69 
 
 22 
 
 
 
 50 
 
 6 41 
 
 50 
 
 4 10 
 
 40 
 
 2 26 
 
 20 
 
 1 22 
 
 70 
 
 21 
 
 Sun's 
 
 Sun's 
 
 55 
 
 6 37 
 
 55 
 
 4 9 
 
 50 
 
 2 24 
 
 40 
 
 1 21 
 
 71 
 
 20 
 
 Alt. 
 
 Parallax. 
 
 8 
 
 6 33 
 
 13 
 
 4 7 
 
 22 
 
 2 23 
 
 36 
 
 1 20 
 
 72 
 
 19 
 
 
 
 5 
 
 6 2!) 
 
 5 
 
 4 5 
 
 10 
 
 2 22 
 
 20 
 
 1 19 
 
 73 
 
 18 
 
 
 
 10 
 
 6 25 
 
 10 
 
 4 4 
 
 20 
 
 2 21 
 
 40 
 
 1 18 
 
 74 17 
 
 D. 
 
 S. 
 
 
 6 22 
 
 15 
 
 4 2 
 
 30 
 
 2 20 
 
 37 
 
 1 17 
 
 75 ft i* 
 
 
 
 20 
 
 6 19 
 
 * i 
 
 20 
 
 4 1 
 
 40 
 
 (V iVV7 
 
 2 19 
 
 20 1 16 
 
 f *J \J 
 
 76 
 
 V J *J 
 
 14 
 
 
 
 25 
 
 6 15 
 
 25 
 
 3 59 
 
 50 
 
 2 17 
 
 40 1 15 
 
 77 .0 
 
 13 
 
 
 
 9 
 
 8 30 
 
 6 12 
 
 13 30 
 
 3 58 
 
 23 
 
 2 16 
 
 38 i 14 
 
 78 
 
 12 
 
 10 
 
 Ctf\ 
 
 9 
 
 35 
 
 6 s; 
 
 35 3 56 
 
 10 
 
 2 15 
 
 20 1 13 
 
 79 
 
 11 
 
 20 
 
 f)f\ 
 
 
 40 
 
 6 5 
 
 40 
 
 3 55 
 
 20 
 
 2 14 
 
 40 ! 1 12 
 
 80 
 
 10 
 
 30 
 
 7 
 
 45 
 
 6 2 
 
 45 
 
 3 54 
 
 30 
 
 2 13 
 
 39 1 11 
 
 81 91 
 
 t/i 
 
 t 
 
 50 
 
 5 59 
 
 50 
 
 3 52 
 
 40 
 
 2 12 
 
 20 1 11 
 
 82 8 
 
 50 
 
 fr K 
 
 
 55 
 
 5 56 
 
 55 
 
 3 51 
 
 50 
 
 2 11 
 
 40 1 10 
 
 83 8 
 
 55 
 60 
 
 4 
 
 9 
 
 5 52 
 
 14 
 
 3 49 
 
 24 
 
 2 10 
 
 40 1 9 
 
 84 6 
 
 65 
 
 4 
 
 5 
 
 5 49 
 
 10 
 
 3 47 
 
 10 
 
 2 9 
 
 20' 1 8 
 
 85 005 
 
 70 
 
 3 
 
 10 
 
 5 46 
 
 20 
 
 3 44 
 
 20 
 
 2 8 
 
 40 1 8 
 
 86 4 
 
 75 
 
 2 
 
 15 
 
 5 43 
 
 30 
 
 3 41 
 
 30 
 
 2 7 
 
 41 1 7 
 
 S7 3 
 
 80 
 
 2 
 
 20 
 
 5 4l 
 
 40 
 
 3 39 
 
 40 
 
 2 6 
 
 20 1 6 
 
 SS 2 
 
 85 
 
 1 
 
 25 
 
 5 38 
 
 50 
 
 3 36 
 
 50 
 
 2 5 
 
 40 
 
 1 5 
 
 S!) 1 
 
 90 
 
 
 
 9 30 
 
 5 35 
 
 15 
 
 3 34 
 
 25 
 
 2 4 
 
 42 
 
 1 4 
 
 90 0| 
 
 
 
 160 
 
TABLE III. 
 
 DECLINATION OF THE SUN, 
 1886-1901. 
 
DECLINATION OF THE SUN FOR THE YEARS 1886, 1890, 1894, 1868. 
 
 
 JAN. 
 
 FEB. 
 
 MAR. 
 
 APRII,. 
 
 MAY. 
 
 JUNE. 
 
 
 
 A 
 
 0) 
 
 c . 
 
 j-j 
 
 a . 
 
 ^ 
 
 * 
 
 O) 
 
 c 
 
 a 
 
 01 
 
 a 
 
 
 
 a 
 
 a ,. 
 
 ^ 
 
 <D 
 
 
 
 
 o^ 
 
 .3 
 
 O 5 
 
 3 
 
 -g 
 
 *_> 
 
 3 
 
 
 c | 
 
 
 5 
 
 _ 
 
 i 
 
 
 
 C 
 
 SH O 
 
 
 d o 
 
 O 
 
 ?H 
 
 c5 ^ 
 
 
 oj 
 
 
 cJ ^ 
 
 
 
 
 0-02 
 
 <c 
 
 1* Uj ^""* - T*l 
 
 X ^Q 
 
 z 
 
 H-H r+ 
 
 0* ri 
 
 ^^ . r*| 
 
 ,; 
 
 ^C r^ 
 
 fl\ 7* 
 
 -C 
 
 
 
 Q 
 
 Q~ 
 
 Q 
 
 Q 
 
 Q 
 
 
 ^ 
 
 Q 
 
 G 
 
 Q 
 
 5 
 
 Q 
 
 5 
 
 
 60 
 
 / 
 
 n 
 
 / 
 
 n 
 
 o / 
 
 ;/ 
 
 / 
 
 
 / 
 
 
 
 / 
 
 n 
 
 09 
 
 aS 
 
 Q 
 
 
 
 
 
 
 
 
 
 
 
 
 O 
 
 1 
 
 22.59 
 
 +13 
 
 17.02 
 
 +43 
 
 7.30 
 
 +57 
 
 4.37 
 
 +58 
 
 15.08 
 
 +45 
 
 22.05 
 
 +20 
 
 1 
 
 2 
 
 22.54 
 
 14 16.44 
 
 44 
 
 7.07 
 
 57 
 
 5.00 
 
 58 
 
 15.26 
 
 45 
 
 22.13 
 
 19 
 
 2 
 
 3 
 
 22.48 
 
 15 16.27 
 
 44 
 
 6.44 
 
 57 
 
 5.23 
 
 57 
 
 15.44 
 
 44 
 
 22.20 
 
 18 
 
 3 
 
 4 
 
 22.42 
 
 16 16.09 45 
 
 6.21 
 
 58 
 
 5.46 
 
 57 
 
 16.01 
 
 43 
 
 22.28 
 
 17 
 
 4 
 
 5 
 
 22.35 
 
 +17 
 
 15 51 
 
 +46 
 
 5.58 
 
 +58 
 
 6.09 
 
 +57 
 
 16.18 
 
 +43 
 
 22.34 
 
 +16 
 
 5 
 
 6 
 
 22.28 
 
 ' 18 15.32 
 
 46 
 
 5.34 
 
 58 
 
 6.32 
 
 57 
 
 16.35 
 
 42 
 
 22 41 
 
 15 
 
 6 
 
 7 
 
 22.21 
 
 19 15.14 
 
 47 
 
 5.11 
 
 58 
 
 6.54 
 
 56 
 
 16.52 
 
 41 
 
 22.47 
 
 14 
 
 7 
 
 8 
 
 22.13 
 
 20 14.55 
 
 48 
 
 4.48 
 
 58 
 
 7.17 
 
 56 
 
 17.08 
 
 41 
 
 22.52 
 
 13 
 
 8 
 
 9 
 
 22.04 
 
 22 14.35 
 
 48 
 
 4.24 
 
 59 
 
 7.39 
 
 56 
 
 17.25 
 
 40 
 
 22 57 
 
 12 
 
 9 
 
 10 
 
 21.55 
 
 +23 14.16+49 
 
 4.01 
 
 +59 
 
 8.01 
 
 +55 
 
 17.40 
 
 +39 
 
 23.02 
 
 +11 
 
 10 
 
 11 
 
 21.46 
 
 24 13.56 
 
 49 
 
 3.37 
 
 59 
 
 8 23 
 
 55 
 
 17.56 
 
 38 
 
 23.06 
 
 10 
 
 11 
 
 12 
 
 21.36 
 
 25 13.36 50 
 
 3.14 
 
 59 
 
 8.45 
 
 55 
 
 18.11 
 
 38 
 
 23.10 
 
 9 
 
 12 
 
 13 
 
 21.26 
 
 26 13.16! 51 
 
 2.50 
 
 59 
 
 9. or 
 
 54 
 
 18.26 
 
 37 
 
 23.14 
 
 8 
 
 13 
 
 14 
 
 21.16 
 
 27 12.55 51 
 
 2 26 
 
 59 
 
 9.29 
 
 54 
 
 18.40 
 
 36 
 
 23.17 
 
 r* 
 t 
 
 14 
 
 15 
 
 21.05 
 
 +28 
 
 12.35+52 
 
 2.03 
 
 +59 
 
 9.50 
 
 +53 
 
 18.55 
 
 +35 
 
 23.20 
 
 +6 
 
 15 
 
 16 
 
 20.53 
 
 29 12.1? 
 
 52 
 
 1.39 
 
 59 
 
 10.12 
 
 53 
 
 19.09 
 
 34 
 
 23.22 
 
 5 
 
 16 
 
 17 
 
 20.42 
 
 30 11.54 
 
 53 
 
 1.15 
 
 59 
 
 10 32 
 
 53 
 
 19 22 
 
 34 
 
 23 24 
 
 4 
 
 17 
 
 18 
 
 20.30 
 
 31 
 
 11.33 
 
 53 
 
 0.52 
 
 59 
 
 10.54 
 
 52 
 
 19 36 
 
 33 
 
 23.25 
 
 3 
 
 18 
 
 19 
 
 20.17 
 
 32 
 
 11.11 
 
 53 
 
 0.28 
 
 59 
 
 11.15 
 
 52 
 
 19.49 
 
 32 
 
 23.26 
 
 2 
 
 19 
 
 20 
 
 20.04 
 
 +33 
 
 10.50 
 
 +54 
 
 0.04 
 
 +59 
 
 11.35 
 
 +51 
 
 20.01 
 
 +31 
 
 23 27 
 
 +1 
 
 20 
 
 21 
 
 19.51 
 
 34 
 
 10.28 
 
 54 
 
 0.19 
 
 59 
 
 11.56 
 
 51 
 
 20.13 
 
 30 
 
 23.27 
 
 
 
 21 
 
 22 
 
 19.37 
 
 35 
 
 10.06 
 
 55 
 
 0.43 
 
 59 
 
 12.16 
 
 50 
 
 20.25 
 
 29 
 
 23.27 
 
 -1 
 
 22 
 
 23 
 
 19.23 
 
 35 
 
 9.44 
 
 55 
 
 1.07 
 
 59 
 
 12 36 
 
 50 
 
 20 37 
 
 28 
 
 23.26 
 
 2 
 
 23 
 
 24 
 
 19.09 
 
 36 
 
 9.22 
 
 55 
 
 1.30 
 
 59 
 
 12.56 
 
 49 
 
 20.48 
 
 28 
 
 23.25 
 
 3 
 
 24 
 
 25 
 
 18.54 
 
 +37 
 
 9.00 
 
 +56 
 
 1.54 
 
 +59 
 
 13 15 
 
 + 49 
 
 20 59 
 
 +27 
 
 23.24 
 
 -4 
 
 25 
 
 26 
 
 18.39 
 
 38 
 
 8.38 
 
 56 
 
 21 
 
 rt 
 
 59 
 
 13.35 
 
 48 
 
 21.10 
 
 26 
 
 23.22 
 
 5 
 
 26 
 
 27 
 
 18.24 
 
 39 
 
 8.15 
 
 56 
 
 2.41 
 
 59 
 
 13.54 
 
 48 
 
 21.20 
 
 25 
 
 X'3.20 
 
 6 
 
 27 
 
 28 
 
 18.08 
 
 40 
 
 7.52 
 
 57 
 
 3.04 
 
 58 
 
 14.13 
 
 47 
 
 21.30 
 
 24 
 
 23.17 
 
 7 
 
 28 
 
 29 
 
 17.52 
 
 41 
 
 7.30 
 
 57 
 
 3.28 
 
 58 
 
 14 31 
 
 46 
 
 21.39 
 
 23 
 
 23.14 
 
 8 
 
 9 
 
 30 
 
 17.35 
 
 +41 
 
 
 
 3.51 
 
 +58 
 
 14.50 
 
 +46 
 
 21.48 
 
 +22 
 
 23.10 
 
 -9 
 
 bO 
 
 31 
 
 17.19 
 
 42 
 
 
 
 4.14 
 
 58 
 
 15.08 
 
 45 
 
 21.57 
 
 21 
 
 23.07 
 
 10 
 
 31 
 
 32 
 
 17.02 
 
 43 
 
 
 
 4.37 
 
 58 
 
 
 
 22.05 
 
 20 
 
 
 
 32 
 
 162 
 
DECLINATION OF THE SUN FOR THE YEARS 1886, 1890, 1894, 1898. 
 
 
 JULY. 
 
 AUGUST. 
 
 SEPT. OCT. 
 
 Nov. 
 
 DEC. 
 
 
 
 
 i 
 
 i 
 
 
 
 
 
 a 
 
 2 
 
 A 
 
 a . 
 
 
 c .. 
 
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 -a 
 
 = 
 
 A 
 
 i 
 
 
 
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 3 
 
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 C 3 
 
 
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 Sti2 
 
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 it! 2 55 
 
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 fB2 
 
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 8*1 
 
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 SJM 
 
 fcj 
 
 
 
 Q 
 
 Q" 
 
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 S" 
 
 
 5 
 
 Q P^ 
 
 Q 
 
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 Cj 
 
 / 
 
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 / 
 
 // 
 
 o 
 
 / 
 
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 / 
 
 n 
 
 / 
 
 // 
 
 o / 
 
 // 
 
 <S 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Q 
 
 1 
 
 23.07 
 
 -JO 
 
 17.59 
 
 -38 
 
 8.13 
 
 -54 
 
 3.16 
 
 -58 
 
 14.30 
 
 -48 
 
 21.51 
 
 -23 
 
 1 
 
 2 
 
 33.02 
 
 11 
 
 17.44 
 
 39 
 
 7.52 
 
 55 
 
 3.39 
 
 58 
 
 14.49 
 
 47 
 
 22.00 
 
 22 
 
 2 
 
 3 
 
 22-58 
 
 12 
 
 17.28 
 
 39 
 
 7.30 
 
 55 
 
 4.02 
 
 58 
 
 15.08 
 
 47 
 
 22.09 
 
 21 
 
 3 
 
 4 
 
 22.52 
 
 13 
 
 17.12 
 
 40 
 
 7.07 
 
 55 
 
 4.25 
 
 58 
 
 15.27 
 
 46 
 
 22.17 
 
 20 
 
 4 
 
 5 
 
 22.47 
 
 -14 
 
 16.56 
 
 -41 
 
 6.45 
 
 -56 
 
 4.48 
 
 -58 
 
 15.45 
 
 -45 
 
 22.25 
 
 -19 
 
 5 
 
 6 
 
 22.41 
 
 15 
 
 16 40 
 
 41 
 
 6.23 
 
 56 
 
 5.12 
 
 58 
 
 16.03 
 
 45 
 
 22.32 
 
 18 
 
 6 
 
 7 
 
 22.35 
 
 16 
 
 16.23 
 
 42 
 
 6.00 
 
 56 
 
 5.35 
 
 57 
 
 16.21 
 
 44 
 
 22.39 
 
 17 
 
 7 
 
 8 
 
 22.28 
 
 17 
 
 16 06 
 
 43 
 
 5.38 
 
 56 
 
 5.57 
 
 57 
 
 16.39 
 
 43 
 
 22.45 
 
 15 
 
 8 
 
 9 
 
 22 21 
 
 18 
 
 15.49 
 
 43 
 
 5.15 
 
 57 
 
 6.20 
 
 57 
 
 16.56 
 
 43 
 
 22.51 
 
 14 
 
 9 
 
 10 
 
 22.14 
 
 -19 
 
 15.32 
 
 -44 
 
 4.52 
 
 57 
 
 6 43 
 
 -57 
 
 17.13 
 
 -42 
 
 22.57 
 
 -13 
 
 10 
 
 11 
 
 22.06 
 
 20 
 
 15.14 
 
 45 
 
 4.30 
 
 57 
 
 7.06 
 
 57 
 
 17.29 
 
 41 
 
 23.02 
 
 12 
 
 11 
 
 12 
 
 21.58 
 
 21 
 
 14.56 
 
 45 
 
 4 07 
 
 57 
 
 7.28 
 
 56 
 
 17.46 
 
 40 
 
 23.06 
 
 11 
 
 12 
 
 13 
 
 21.49 
 
 22 
 
 14.38 
 
 46 3.44 
 
 57 
 
 7 51 
 
 56 
 
 18.02 
 
 40 
 
 23.10 
 
 10 
 
 13 
 
 14 
 
 21.40 
 
 23 
 
 14.19 
 
 46 
 
 3.2i 
 
 58 
 
 8 13 
 
 56 
 
 18.18 
 
 39 
 
 23.14 
 
 9 
 
 14 
 
 15 
 
 21.31 
 
 -24 
 
 14.01 
 
 -47 
 
 2.58 
 
 -58 
 
 8.36 
 
 -55 
 
 18.33 
 
 -38 
 
 23.17 
 
 i 
 
 15 
 
 16 
 
 21.21 
 
 25 
 
 13.42 
 
 47 
 
 2.35 
 
 58 
 
 8.58 
 
 55 
 
 18.48 
 
 37 
 
 23.20 
 
 6 
 
 16 
 
 17 
 
 21.11 
 
 26 
 
 13.23 
 
 48: 2.11 
 
 58 
 
 9.20 
 
 55 
 
 19 03 
 
 36 
 
 23.22 
 
 5 
 
 17 
 
 18 
 
 21.01 
 
 26 
 
 13.03 
 
 48 
 
 1.48 
 
 58 
 
 9.42 
 
 54 
 
 19.17 
 
 36 
 
 23.24 
 
 4 
 
 18 
 
 19 
 
 20.59 
 
 27 
 
 12.44 
 
 49 
 
 1.25 
 
 58 
 
 10.03 
 
 54 
 
 19 31 
 
 35 
 
 23.26 
 
 3 
 
 19 
 
 20 
 
 20.39 
 
 -28 
 
 12.24 
 
 -50 
 
 1.01 
 
 -58 
 
 10.25 
 
 -54 
 
 19.45 
 
 -34 
 
 23.27 
 
 -2 
 
 20 
 
 21 
 
 20.27 
 
 29 
 
 12 04 
 
 50 
 
 30 
 
 58 
 
 10.46 
 
 53 
 
 19.58 
 
 33 
 
 23.27 
 
 
 
 21 
 
 22 
 
 20.15 
 
 30 
 
 11.44 
 
 50 
 
 0.15 
 
 58 
 
 11.08 
 
 53 
 
 20.11 
 
 32 
 
 23 27 
 
 +1 
 
 22 
 
 23 
 
 20.03 
 
 31 
 
 11.24 
 
 51 
 
 0.08 
 
 58 
 
 11.29 
 
 52 
 
 20.24 
 
 31 
 
 23.26 
 
 o 
 
 23 
 
 24 
 
 19.51 
 
 32 
 
 11.03 
 
 51 
 
 32 
 
 58 
 
 11.50 
 
 52 
 
 20.36 
 
 30 
 
 23.25 
 
 3 
 
 24 
 
 25 
 
 19.38 
 
 -32 
 
 10.42 
 
 -52 
 
 0.55 
 
 -58 
 
 12.10 
 
 -52 
 
 20.48 
 
 -29 
 
 23.24 
 
 +4 
 
 25 
 
 26 
 
 19.25 
 
 33 
 
 10.22 
 
 52 
 
 1.19 
 
 58 
 
 12.31 
 
 51 
 
 21.00 
 
 28 
 
 23.22 
 
 5 
 
 26 
 
 27 
 
 19.11 
 
 34 
 
 10.01 
 
 53 
 
 1.42 
 
 58 
 
 12.51 
 
 51 
 
 21 . 1 1 
 
 27 
 
 23.20 
 
 w 
 
 27 
 
 28 
 
 18.57 
 
 35 
 
 9.40 
 
 53 
 
 2.06 
 
 58 
 
 13.12 
 
 50 
 
 21.21 
 
 26 
 
 23 17 
 
 8 
 
 28 
 
 29 
 
 18.43 
 
 36 
 
 9.18 
 
 53 
 
 2.28 
 
 58 
 
 13.32 
 
 50 
 
 21 32 
 
 25 
 
 23.13 
 
 9 
 
 29 
 
 30 
 
 18.29 
 
 36 
 
 8.57 
 
 -54 
 
 2.52 
 
 -58 
 
 13.51 
 
 -49 
 
 21.42 
 
 -24 
 
 23.10 
 
 410 
 
 30 
 
 31 
 
 18.14 
 
 37 
 
 8.35 
 
 54 
 
 3.16 
 
 58 
 
 14.11 
 
 49 
 
 21.51 
 
 23 
 
 23.05 
 
 11 
 
 31 
 
 32 
 
 17.59 
 
 38 
 
 8.13 
 
 54 
 
 
 
 
 14.30 
 
 48 
 
 
 
 23.01 
 
 12 
 
 32 
 
 163 
 
DECLINATION OF THE SUN FOR THE YEARS 1887, 1891, 1895, 1899. 
 
 
 JAN. 
 
 FEB. 
 
 MAR. 
 
 APRIL. 
 
 MAY. 
 
 JUNE. 
 
 
 
 ^ 
 
 33 
 
 C - 
 
 _ * 
 
 x 
 
 pH 
 
 0> 
 
 a . 
 
 A C 
 
 A || fe . 
 
 A 
 
 CD 
 
 s . 
 
 
 
 4-J 
 
 O - 
 
 
 o - 
 
 4-S 
 
 -* 
 
 ~ 
 
 g 
 
 o - 
 
 
 
 o S3 
 
 
 
 3 
 
 3 
 
 3 
 
 
 
 
 
 
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 3 
 
 
 
 . 3 
 
 t* 
 
 3 
 
 
 
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 do g-j o 
 
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 O 
 
 
 g| S2 
 
 
 
 
 gfc 
 
 ^A 
 
 
 
 p ' 
 
 5 
 
 Q^ 
 
 Q 
 
 Q 
 
 
 5~ 
 
 Q Q 
 
 Q 
 
 5~ 
 
 P 
 
 P 
 
 
 w 
 
 
 
 
 
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 o3 
 
 / 
 
 1 f 
 
 / 
 
 // 
 
 // 
 
 / 
 
 n 
 
 / 
 
 // 
 
 o / 
 
 n 
 
 o3 
 
 Q 
 
 
 
 
 
 
 
 
 
 
 
 
 Q 
 
 1 
 
 23.01 
 
 +12 
 
 17.06 
 
 +43 
 
 7.35 
 
 +57 
 
 4.32 
 
 +58 
 
 15.04 
 
 +45 
 
 22.03 
 
 +20 
 
 1 
 
 2 
 
 22.55 
 
 13 
 
 16.49 
 
 43 
 
 7.12 
 
 57 
 
 4.55 
 
 58 
 
 15.22 
 
 45 
 
 22.11 
 
 19 
 
 2 
 
 3 
 
 22.50 
 
 15 
 
 16 31 
 
 44 
 
 6.49 
 
 57 
 
 5.18 
 
 57 
 
 15.40 
 
 44 
 
 22.19 
 
 18 
 
 3 
 
 4 
 
 22.44 
 
 16 
 
 16 13 
 
 45 
 
 6.26 
 
 58 
 
 5.40 
 
 57 
 
 15.57 
 
 43 
 
 22.26 
 
 17 
 
 4 
 
 5 
 
 22.37 
 
 +17 
 
 15.55 
 
 +46 
 
 6.03 
 
 +58 
 
 6.04 
 
 +57 
 
 16.14 
 
 +43 
 
 22.33 
 
 +17 
 
 5 
 
 6 
 
 22.30 
 
 18 
 
 15.37 
 
 46 
 
 5.40 
 
 58 
 
 6.26 
 
 57 
 
 16.31 
 
 42 
 
 22.39 
 
 16 
 
 6 
 
 rt 
 
 22.23 
 
 19 
 
 15.18 
 
 47 
 
 5. 
 
 17 
 
 58 
 
 6.49 
 
 56 
 
 16.48 
 
 41 
 
 22.45 
 
 15 
 
 ft 
 
 i 
 
 8 
 
 22.15 
 
 20 
 
 14.59 
 
 47 
 
 4.53 
 
 58 
 
 7.11 
 
 56 
 
 17.04 
 
 41 
 
 22.51 
 
 14 
 
 8 
 
 9 
 
 22.06 
 
 21 
 
 14.40; 48 
 
 4.30 
 
 59 
 
 7.34 
 
 56 
 
 17.21 
 
 40 
 
 22.56 
 
 13 
 
 9 
 
 10 
 
 21.58 
 
 +22 
 
 14.21 +49 
 
 4.06 
 
 +59 
 
 7.56 
 
 +55 
 
 17.36 
 
 +39 
 
 23 01 
 
 +12 
 
 10 
 
 11 
 
 21.48 
 
 23 
 
 14.01 
 
 49 
 
 3.43 
 
 59 
 
 8.18 
 
 55 
 
 17.52 
 
 39 
 
 23.05 
 
 10 
 
 11 
 
 12 
 
 21.39 
 
 24 
 
 13.41 50 
 
 3.19 
 
 59 
 
 8.40 
 
 55 
 
 18.07 
 
 38 
 
 23.09 
 
 10 
 
 12 
 
 13 
 
 21.29 
 
 26 
 
 13.21 50 
 
 2.56 
 
 59 
 
 9 02 
 
 54 
 
 18.22 
 
 37 
 
 23.13 
 
 8 
 
 13 
 
 14 
 
 21.18 
 
 27 
 
 13.01 51 
 
 2.32 
 
 59 
 
 9.24 
 
 54 
 
 18.37 
 
 36 
 
 23.16 
 
 7 
 
 14 
 
 15 
 
 21.08 
 
 +28 
 
 12.40+51 
 
 2.08 
 
 +59 
 
 9 45 +54 
 
 18.51 
 
 +35 
 
 23.19 
 
 +6 
 
 15 
 
 16 
 
 20.56 
 
 29 
 
 12.20 
 
 52 
 
 1.45 
 
 59 
 
 10.06 
 
 53 
 
 19.05 
 
 35 
 
 23.21 
 
 5 
 
 16 
 
 17 
 
 20.45 
 
 30 
 
 11.59 1 52 
 
 1.21 
 
 59 
 
 10.28 
 
 53 
 
 19.19 
 
 34 
 
 23.23 
 
 4 
 
 17 
 
 18 
 
 20.33 
 
 31 
 
 11.38 
 
 53 
 
 0.57 
 
 59 
 
 10.49 
 
 52 
 
 19.32 
 
 33 
 
 23.25 
 
 3 
 
 18 
 
 19 
 
 20.20 
 
 32 
 
 11.16 
 
 53 
 
 0.34 
 
 59 
 
 11.09 
 
 52 
 
 19.45 
 
 32 
 
 23.26 
 
 2 
 
 19 
 
 20 
 
 20.07 
 
 +32 
 
 10.55 
 
 +54 
 
 10 
 
 +59 
 
 11.30 
 
 +51 
 
 19.58 
 
 +31 
 
 23.27 
 
 +1 
 
 20 
 
 21 
 
 19.54 
 
 33 
 
 10.33 
 
 54 
 
 0.14 
 
 59 
 
 11.51 
 
 51 
 
 20.10 
 
 30 
 
 23.27 
 
 
 
 21 
 
 22 
 
 19.41 
 
 34 
 
 10.12 
 
 55 
 
 0.37 
 
 59 
 
 12.11 
 
 50 
 
 20.23 
 
 30 
 
 23.27 
 
 -1 
 
 22 
 
 23 
 
 19.27 
 
 35 
 
 9.50 
 
 55 
 
 1.01 
 
 59 
 
 12.31 
 
 50 
 
 20.34 
 
 29 
 
 23.26 
 
 2 
 
 23 
 
 24 
 
 19.12 
 
 36 
 
 9.28 
 
 55 
 
 1.24 
 
 59 
 
 12.51 
 
 49 
 
 20.46 
 
 28 
 
 23.25 
 
 3 
 
 24 
 
 25 
 
 18.58 
 
 +37 
 
 9.05 
 
 +56 
 
 1.48 
 
 +59 
 
 13.10 
 
 +49 
 
 20.57 
 
 +27 
 
 23.24 
 
 -4 
 
 25 
 
 26 
 
 18.43 
 
 38 
 
 8.43 
 
 56 
 
 2.12 
 
 59 
 
 13.30 
 
 48 
 
 21.07 
 
 26 
 
 23.22 
 
 5 
 
 26 
 
 27 
 
 18.27 
 
 39 
 
 8.20 
 
 56 
 
 2.35 
 
 59 
 
 13.49 
 
 48 
 
 21.17 
 
 25 
 
 23.20 
 
 6 
 
 27 
 
 28 
 
 18.12 
 
 39 
 
 7.58 
 
 57 
 
 2.59 
 
 59 
 
 14.08 
 
 47 
 
 21.27 
 
 24 
 
 23.18 
 
 7 
 
 28 
 
 29 
 
 17.56 
 
 40 
 
 7.35 
 
 57 
 
 3.22 
 
 59 
 
 14 27 
 
 47 
 
 21.37 
 
 23 
 
 23.15 
 
 8 
 
 29 
 
 30 
 
 17.39 
 
 +41 
 
 
 
 3.45 
 
 +58 
 
 14.45 
 
 +46 
 
 21.46 
 
 22 
 
 23.11 
 
 -9 
 
 30 
 
 31 
 
 17.23 
 
 42 
 
 
 
 4.09 
 
 58 
 
 15.04 
 
 45 
 
 21.55 
 
 21 
 
 23.08 
 
 10 
 
 31 
 
 32 
 
 17.06 
 
 43 
 
 
 
 4.32 
 
 58 
 
 
 
 22.03 
 
 20 
 
 
 
 32 
 
 164 
 
DECLINATION OF THE SUN FOR THE YEARS 1887, 1891, 1895, 1899. 
 
 
 JULY. 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 
 a 
 
 G . 
 
 a 
 
 3. 
 c 
 
 _ 
 
 ^ 
 
 OJ 
 
 j 
 
 o 
 
 
 
 c 
 
 j 
 
 g 
 
 
 
 h 
 
 O ^ 
 E3 
 
 " 
 
 o :; 
 
 H 
 
 
 
 =" 
 
 3 
 
 5" 
 
 g 
 
 o fa 
 
 3 
 
 fa 
 
 
 
 1 
 
 ,1 
 
 ^iz; *d 2 
 
 g"j| 
 
 o 
 
 02 
 
 id 2 
 
 o o 
 0,02 
 
 !SJ 
 
 6 o 
 
 id 
 
 w o 
 35 GO 
 
 id 2 
 
 
 
 P 
 
 P 
 
 P 
 
 
 
 P 
 
 
 ft 
 
 p 
 
 p 
 
 ' 
 
 P"~ 
 
 P 
 
 p~ 
 
 
 'f. 
 C? 
 
 / 
 
 
 o / 
 
 n 
 
 o / 
 
 II 
 
 / 
 
 n 
 
 / 
 
 H 
 
 o / 
 
 n 
 
 CC 
 
 S3 
 
 p 
 
 
 
 
 
 
 
 
 
 
 
 
 p 
 
 1 
 
 23.08 
 
 -10 
 
 18.03 
 
 -38 
 
 8.19 
 
 -54 
 
 3.10 
 
 -58 
 
 14.26 
 
 -48 
 
 21.49 
 
 -23 
 
 1 
 
 2 
 
 23.03 
 
 11 
 
 17.481 38 
 
 7.57 
 
 55 
 
 3.33 
 
 58 
 
 14.45 
 
 47 
 
 21.58 
 
 22 
 
 2 
 
 3 
 
 22.59 
 
 12 
 
 17.32 
 
 39 
 
 7.35 
 
 55 
 
 3.56 
 
 58 
 
 15.04 
 
 47 
 
 22.07 
 
 21 
 
 3 
 
 4 
 
 22.54 
 
 13 
 
 17.16 
 
 40 
 
 7.13 
 
 55 
 
 4.20 
 
 58 
 
 15.22 
 
 46 
 
 22.15 
 
 20 
 
 4 
 
 5 
 
 22.48 
 
 -14 
 
 17.00 
 
 -41 
 
 6.51 
 
 -56 
 
 4.43 
 
 -58 
 
 15.41 
 
 -46 
 
 22.23 
 
 -19 
 
 5 
 
 6 
 
 22.43 
 
 15 
 
 16.44 
 
 41 
 
 6.28 
 
 56 
 
 5.06 
 
 58 
 
 15.59 
 
 45 
 
 22.30 
 
 18 
 
 6 
 
 7 
 
 22^36 
 
 16 
 
 16.27 
 
 42 
 
 6 06 
 
 56 
 
 5.29 
 
 57 
 
 16.17 
 
 44 
 
 22.37 
 
 17 
 
 r* 
 \ 
 
 8 
 
 22.30 
 
 17 
 
 16.10 
 
 42 
 
 5.43 
 
 56 
 
 5.52 
 
 57 
 
 16.34 
 
 44 
 
 22.44 
 
 16 
 
 8 
 
 9 
 
 22.23 
 
 18 
 
 15 53 
 
 43 
 
 5.21 
 
 57 
 
 6.15 
 
 57 
 
 16.52 
 
 43 
 
 22.50 
 
 15 
 
 9 
 
 10 
 
 22.15 
 
 -19 
 
 15.36 
 
 -44 
 
 4.58 
 
 -57 
 
 6.37 
 
 -57 
 
 17 09 
 
 -42 
 
 22.55 
 
 -13 
 
 10 
 
 11 
 
 22.08 
 
 20 
 
 15.18 
 
 44 
 
 4.35 
 
 57 
 
 7.00 
 
 57 
 
 17.25 
 
 41 
 
 23 01 
 
 12 
 
 11 
 
 12 
 
 22.00 
 
 21 
 
 15.00 
 
 45 
 
 4.12 
 
 57 
 
 7.23 
 
 56 
 
 17.42 
 
 41 
 
 23.05 
 
 11 
 
 12 
 
 13 
 
 21.51 
 
 22 
 
 14 42 
 
 46 
 
 3.49 
 
 57 
 
 7.45 
 
 56 
 
 17.58 
 
 40 
 
 ^3.10 
 
 10 
 
 13 
 
 14 
 
 21.42 
 
 23 
 
 14.24 
 
 46 
 
 3.26 
 
 58 
 
 8.08 
 
 56 
 
 18.14 
 
 39 
 
 23.13 
 
 9 
 
 14 
 
 15 
 
 21.33 
 
 --23 
 
 14.05 
 
 -47 
 
 3.C3 
 
 -58 
 
 8.30 
 
 -55 
 
 18.29 
 
 -38 
 
 23.17 
 
 -8 
 
 15 
 
 16 
 
 21.23 
 
 24 
 
 13.46 
 
 47 
 
 2.40 
 
 58 
 
 8.52 
 
 55 
 
 18.44 
 
 3T 
 
 23.20 
 
 n 
 t 
 
 16 
 
 17 
 
 21.13 25 
 
 13.27 
 
 48 
 
 2.1 
 
 7 
 
 58 
 
 9.14 
 
 55 
 
 18.59 
 
 37 
 
 23.22 
 
 5 
 
 17 
 
 18 
 
 21.03 26 
 
 13 08 
 
 48 
 
 1.54 
 
 58 9.36 
 
 55 
 
 19.14 
 
 36 
 
 23 24 
 
 4 
 
 18 
 
 19 
 
 20.52 27 
 
 12.48 
 
 49 
 
 1.30 
 
 58 
 
 9.58 
 
 54 
 
 19.28 
 
 35 
 
 x'3.25 
 
 3 
 
 19 
 
 20 
 
 20.41 
 
 -28 
 
 12.29 
 
 -49 
 
 1.07 
 
 -58 
 
 10.20 
 
 -54 
 
 19.42 
 
 -34 
 
 23.26 
 
 2 
 
 20 
 
 21 
 
 20.30 
 
 29 
 
 12.09 
 
 50 
 
 0.44 
 
 58 
 
 10.41 
 
 53 
 
 19 55 
 
 33 
 
 23 27 
 
 1 
 
 21 
 
 22 
 
 20.18 
 
 30 
 
 11.49 
 
 50 
 
 0.20 
 
 58 11.02 
 
 53 
 
 20.08 
 
 32 
 
 23.27 
 
 +0 
 
 22 
 
 23 
 
 20.06 
 
 31 
 
 11.28 
 
 51 
 
 0.03 
 
 58 
 
 11.24 
 
 52 
 
 20.21 
 
 31 
 
 23.27 
 
 2 
 
 23 
 
 24 
 
 19.54 
 
 31 
 
 11.08 
 
 51 
 
 0.26 
 
 58 
 
 11 .45 
 
 52 
 
 20.33 
 
 30 
 
 23 26 
 
 3 
 
 24 
 
 25 
 
 19.41 
 
 -32 
 
 10.48 
 
 -52 
 
 0.50 
 
 -58 
 
 12.05 
 
 -52 
 
 20.45 
 
 -29 
 
 23 24 
 
 
 25 
 
 26 
 
 19.28 
 
 as 
 
 10.27 
 
 52 
 
 1.13 
 
 58 
 
 12.26 
 
 52 
 
 20.57 
 
 28 
 
 23 23 
 
 5 
 
 26 
 
 27 
 
 19.14 
 
 34 
 
 10.06 
 
 53 
 
 1.35 
 
 58 
 
 12.46 
 
 51 
 
 21.08 
 
 27 
 
 23.20 
 
 6 
 
 27 
 
 28 
 
 19.01 
 
 35 
 
 9.45 
 
 53 
 
 2.00 
 
 58 
 
 13.07 
 
 50 
 
 21.19 
 
 26 
 
 23.18 
 
 r* 
 i 
 
 28 
 
 29 
 
 18.47 
 
 35 
 
 9.23 
 
 53 
 
 2.23 
 
 58 
 
 13 27 
 
 50 
 
 21.29 
 
 25 
 
 23.14 
 
 9 
 
 29 
 
 30 
 
 18.33 
 
 -36 
 
 9.02 
 
 -54 
 
 2.47 
 
 -58 
 
 13.47 
 
 -49 
 
 21.39 
 
 -24 
 
 23.10 
 
 +10 
 
 30 
 
 31 
 
 18.18 
 
 37 
 
 8.40 
 
 54 
 
 3.10 
 
 58 
 
 14.06 
 
 49 
 
 21.49 
 
 23 
 
 23.06 
 
 11 
 
 31 
 
 32 
 
 18.03 
 
 38 
 
 8.19 
 
 54 
 
 
 
 
 14.25 
 
 48 
 
 
 
 23.02 
 
 12 
 
 32 
 
 165 
 
DECLINATION OF THE SUN FOR THE YEARS 1888, 1892, 1896, 1900. 
 
 
 JAN. 
 
 FEB. 
 
 MARCH. 
 
 APRIL. 
 
 MAY. 
 
 JUNE. 
 
 
 
 A a 
 
 j 
 
 a . 
 
 - 
 
 A fi . 
 
 J 
 
 9 . 
 
 ,d 
 
 a . 
 
 rC 
 
 a 
 
 
 
 73 o ^ 
 
 IJ3 
 
 O '" 
 
 c 
 
 V O *-i 
 
 
 O '" 
 
 73 
 
 O '~ 
 
 
 A M 
 
 
 
 3 ' 3 
 
 3 
 
 3 
 
 3 
 
 
 g 
 
 3 
 
 H 
 
 . 
 
 M 
 
 " 3 
 
 
 
 O O JH O 
 
 "r 
 
 SB 2 
 
 6 
 
 <SJ T2 
 
 l*A 
 
 gj 
 
 SB 2 
 
 aJ 
 
 *g 2 
 
 ^ 
 ^ '^\ 
 
 SB 
 
 
 
 Q^ fl~ 
 
 Q " 
 
 " 
 
 Q 
 
 
 
 Q 
 
 5 
 
 fi 
 
 'A 
 
 Q 
 
 s 
 
 
 02 
 
 cS 
 
 / 
 
 
 
 / 
 
 II 
 
 o / 
 
 n 
 
 / 
 
 ; 
 
 1 
 
 lt 
 
 / 
 
 II 
 
 
 
 Q 
 
 
 
 
 
 
 
 
 
 
 
 
 1 
 
 1 
 
 23.02 
 
 +12 
 
 17.10+42 
 
 7.' 
 
 17 
 
 +57 
 
 4.49 
 
 +58 
 
 15.17 
 
 f45 
 
 22.09 
 
 +20 
 
 1 
 
 2 
 
 22.57 
 
 13 
 
 16.53 43 
 
 6.55 
 
 57 
 
 5.12 
 
 57 
 
 15.35 
 
 44 
 
 22.17 
 
 19 
 
 2 
 
 3 
 
 22.51 14 
 
 16.35 44 
 
 6.32 
 
 58 
 
 5.35 
 
 57 
 
 15.53 
 
 44 
 
 22 24 
 
 18 
 
 3 
 
 4 
 
 22.45 15 
 
 16 18 45 
 
 6.09 
 
 58 
 
 5.58 
 
 57 
 
 16.10 
 
 43 
 
 22.31 
 
 17 
 
 4 
 
 5 
 
 22.39 
 
 +17 
 
 16.00+45 
 
 5.46 
 
 +58 
 
 6.21 
 
 +57 
 
 16.27 
 
 +42 
 
 22.38 
 
 +16 
 
 5 
 
 6 
 
 22.32 18 
 
 15.41 
 
 46 
 
 5.22 
 
 58 
 
 6.44 
 
 56 
 
 16.44 
 
 42 
 
 22.44 
 
 15 
 
 6 
 
 7 
 
 22.24 
 
 19 
 
 15.23 
 
 47 
 
 4.59 
 
 58 
 
 7.06 
 
 56 
 
 17.01 
 
 41 
 
 22.49 
 
 14 
 
 7 
 
 8 
 
 22.17 20 
 
 15.04 
 
 47 
 
 4.35 
 
 59 
 
 7.28 
 
 56 
 
 17.17 
 
 40 
 
 22.55 
 
 13 
 
 8 
 
 9 
 
 22.08 21 
 
 14.45 
 
 48 
 
 4J 
 
 12 
 
 59 
 
 7.51 
 
 55 
 
 17.33 
 
 39 
 
 23.00 
 
 12 
 
 9 
 
 10 
 
 22.00 +22 
 
 14.25 
 
 +49 
 
 3.49 
 
 +59 
 
 8.13 
 
 +55 
 
 17.48 
 
 +39 
 
 23.04 
 
 +11 
 
 10 
 
 11 
 
 21.51 
 
 23 
 
 14.06 
 
 49 
 
 3.25 
 
 59 
 
 8.35 
 
 55 
 
 18.04 
 
 38 
 
 23.08 
 
 10 
 
 11 
 
 12 
 
 21.41 
 
 24 
 
 13.46 
 
 50 
 
 3.01 
 
 59 
 
 8.57 
 
 54 
 
 18.19 
 
 37 
 
 23.12 
 
 9 
 
 12 
 
 13 
 
 21.31 
 
 25 
 
 13.26 
 
 50 
 
 2.38 
 
 59 
 
 9.18 
 
 54 
 
 18 23 
 
 36 
 
 23.15 
 
 8 
 
 13 
 
 14 
 
 21 21 
 
 26 
 
 13.06 
 
 51 
 
 2.14 
 
 59 
 
 9.40 
 
 54 
 
 18.48 
 
 36 
 
 23.18 
 
 7 
 
 14 
 
 15 
 
 21.10 
 
 +27 
 
 12.45 
 
 +51 
 
 1.50 
 
 +59 
 
 10.01 
 
 +53 
 
 19.02 
 
 +35 
 
 23.21 
 
 +6 
 
 15 
 
 16 
 
 20.59 
 
 28 
 
 12.25 
 
 52 
 
 1 27 
 
 59 
 
 10.23 
 
 53 
 
 19.16 
 
 34 
 
 23.23 
 
 5 
 
 16 
 
 17 
 
 20.47 
 
 29 
 
 12.04 
 
 52 
 
 1.03 
 
 59 
 
 10.44 
 
 52 
 
 19.29 
 
 33 
 
 23.25 
 
 4 
 
 17 
 
 18 
 
 20.351 30 
 
 11.43 
 
 53 
 
 0.39 
 
 59 
 
 11.05 
 
 52 
 
 19.42 
 
 32 
 
 23.25 
 
 3 
 
 18 
 
 19 
 
 20.23 31 
 
 11.21 
 
 3 
 
 16 
 
 59 
 
 11.25 
 
 51 
 
 19.55 
 
 31 
 
 23.27 
 
 2 
 
 19 
 
 20 
 
 20.10 
 
 +32 
 
 11.00 
 
 +54 
 
 0.08 
 
 +59 
 
 11.46 
 
 +51 
 
 20.08 
 
 +31 
 
 23.27 
 
 +0 
 
 20 
 
 31 
 
 19.57 
 
 33 
 
 10.38 
 
 54 
 
 32 
 
 59 
 
 12.06 
 
 50 
 
 20.20 
 
 30 
 
 23.27 
 
 -0 
 
 21 
 
 22 
 
 19.44 
 
 34 
 
 10.17 
 
 54 
 
 0.55 
 
 59 
 
 12.26 
 
 50 
 
 20.32 
 
 29 
 
 23.27 
 
 1 
 
 22 
 
 no 
 
 19.30 
 
 35 
 
 9.55 
 
 54 
 
 1.19 
 
 59 
 
 12.46 
 
 49 
 
 20.43 
 
 28 
 
 23.26 
 
 2 
 
 23 
 
 24 
 
 19.16 
 
 35 
 
 9.33 
 
 55 
 
 1.43 
 
 59 
 
 13.06 
 
 49 
 
 20.54 
 
 27 
 
 23.25 
 
 4 
 
 24 
 
 o*- 
 
 JtJW 
 
 19.01 
 
 +37 
 
 9.11 
 
 +56 
 
 2.06 
 
 +59 
 
 13.25 
 
 +48 
 
 21.05 
 
 +26 
 
 23.23 
 
 -5 
 
 25 
 
 23 
 
 18.46 
 
 38 
 
 8.48 
 
 57 
 
 2.30 
 
 59 
 
 13.45 
 
 48 
 
 21.15 
 
 25 
 
 23.21 
 
 6 
 
 26 
 
 27 
 
 18.31 
 
 38 
 
 8.26 
 
 57 
 
 2.53 
 
 59 
 
 14.04 
 
 47 
 
 21.25 
 
 24 
 
 23.18 
 
 7 
 
 27 
 
 23 
 
 18.15 
 
 39 
 
 8.03 
 
 57 
 
 3.16 
 
 58 
 
 14.22 
 
 47 
 
 21.35 
 
 23 
 
 23.15 
 
 8 
 
 28 
 
 29 
 
 18.00 
 
 40 
 
 7.41 
 
 57 
 
 3.40 
 
 58 
 
 14.41 
 
 46 
 
 21.44 
 
 23 
 
 23.12 
 
 9 
 
 29 
 
 30 
 
 17.43 
 
 +41 
 
 7.18 
 
 +57 
 
 4.03 
 
 +58 
 
 14.59 
 
 +45 
 
 21.53 
 
 +22 
 
 23.09 
 
 -10 
 
 30 
 
 31 
 
 17.27 
 
 41 
 
 
 
 4.26 
 
 57 
 
 15.17 
 
 45 
 
 22.01 
 
 21 
 
 23.04 
 
 11 
 
 31 
 
 32 
 
 17.10 
 
 42 
 
 
 
 4.49 
 
 57 
 
 
 
 22.09 
 
 20 
 
 
 
 32 
 
 
 
 
 
 
 
 
 1 
 
 166 
 
DECLINATION OF THE SUN FOR THE YEARS 1888, 1892, 1896, 1900. 
 
 
 JULY. 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 
 j 
 
 g . 
 
 . 
 
 o 
 
 fl 
 
 rl 
 
 s 
 
 ^ 
 
 = 
 
 j 
 
 o 
 c . 
 
 j 
 
 
 
 
 
 _t 
 
 o 3 
 
 ^3 
 
 s 
 
 3 
 
 "S 
 
 3 
 
 3 
 
 3 
 
 O 
 
 3 
 
 . 3 
 
 .s 
 
 3 
 
 . 3 
 
 . 3 
 
 
 
 Q 
 
 SH ^ 
 
 u o 
 
 te 3 o J 
 
 O 
 
 M ^ 
 
 c5 O 
 
 IH - 
 
 
 
 fH O 
 
 o Q 
 
 O 
 
 
 
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 " -"-^ 
 
 
 E,c fc 
 
 02 
 
 Sx 
 
 ^Q 
 
 > ^ 
 
 
 3, 'Jl 
 
 
 
 
 
 O 
 
 o 
 
 
 
 
 
 O 
 
 
 Q 
 
 ft 
 
 
 
 
 
 
 
 Q 
 
 Q 
 
 . 
 
 w 
 
 I 
 
 / 
 
 " 
 
 / 
 
 " 
 
 o 
 
 ' 
 
 " 
 
 / 
 
 II 
 
 b / 
 
 " 
 
 ' 
 
 " 
 
 1 
 
 Q 
 
 1 
 
 23.04 
 
 -n 
 
 17.51 
 
 -38 
 
 8.02 
 
 -55 
 
 3.27 
 
 -58 
 
 14.40 
 
 -48 
 
 21.56 
 
 -22 
 
 1 
 
 2 
 
 23.00 
 
 12 
 
 17.36 
 
 39 
 
 7.40 55 
 
 3.51 
 
 58 
 
 14.59 
 
 47 
 
 22.04 21 
 
 2 
 
 3 
 
 22.55 
 
 13 
 
 17.20 
 
 40 
 
 7.18 55 
 
 4.14 
 
 58 
 
 15.18 
 
 46 
 
 22.13 20 
 
 3 
 
 4 
 
 22.50 
 
 14 
 
 17 04 
 
 40 
 
 6.56 56 
 
 4.37 
 
 58 
 
 15.36 
 
 46 
 
 22 21 19 
 
 4 
 
 5 
 
 22.44 
 
 -15 
 
 16.48 
 
 -41 
 
 6.34 
 
 -56 
 
 5.00 
 
 -58 
 
 15.54 
 
 -45 
 
 22.28 -18 
 
 5 
 
 6 
 
 22.38 
 
 16 
 
 16.31 
 
 42 
 
 6.11 
 
 56 
 
 5.23 
 
 58 
 
 16.12 
 
 44 
 
 2235 17 
 
 6 
 
 7 
 
 22.31 
 
 17 
 
 16 15 
 
 42 
 
 5.49 
 
 56 
 
 5.46 
 
 57 
 
 16 30 44 
 
 82.43 16 
 
 7 
 
 8 
 
 22 25 
 
 18 
 
 15.57 
 
 43 
 
 5.26 
 
 57 
 
 6.09 
 
 57 
 
 16.47 
 
 43 
 
 22.48 15 
 
 8 
 
 9 
 
 22.17 
 
 19 
 
 15.40 44 
 
 5.04 
 
 57 
 
 6.32 
 
 57 
 
 17.04 
 
 42 
 
 22.54J 14 
 
 9 
 
 10 
 
 22.10 
 
 -20 
 
 15.23 -44 
 
 4.41 
 
 -57 
 
 6.55 
 
 -57 
 
 17.21 
 
 -42 
 
 22.59-13 
 
 10 
 
 11 
 
 22.02 
 
 20 
 
 1505 45 
 
 4.18 
 
 57 
 
 7.17 
 
 56 
 
 17.38 
 
 41 
 
 23 04 
 
 11 
 
 11 
 
 12 
 
 21.53 
 
 21 
 
 14.47 45 
 
 3.55 
 
 57 
 
 7.40 
 
 56 
 
 17.54 
 
 40 
 
 23.09 
 
 10 
 
 12 
 
 13 
 
 21.44 
 
 22 
 
 14.28 46 
 
 3.32 
 
 58 
 
 8.02 
 
 56 
 
 18.10 
 
 39 
 
 23.12 
 
 9 
 
 13 
 
 14 
 
 21.35 
 
 23 
 
 14.10 47 
 
 3.09 
 
 58 
 
 8.25 
 
 56 18.25 
 
 38 
 
 23.16 
 
 8 
 
 14 
 
 15 
 
 21.26 
 
 -24 
 
 13.51 -47 
 
 2.46 
 
 -58 
 
 8.47 
 
 -55 
 
 18.41 
 
 -38 
 
 23.19 
 
 r- 
 I 
 
 15 
 
 16 
 
 21.16 
 
 25 
 
 13.32 48 
 
 2.23 
 
 58 
 
 9.09 
 
 55 
 
 18.56 
 
 37 
 
 23.21 
 
 6 
 
 16 
 
 17 
 
 21.06 
 
 26 
 
 13.13 48 
 
 1.59 
 
 58 
 
 9.10 
 
 55 
 
 19.10 
 
 36 
 
 23.24 
 
 5 
 
 17 
 
 18 
 
 20.55 
 
 27 
 
 12.53 49 
 
 1.36 
 
 58 
 
 9.53 
 
 54 
 
 19.24 
 
 35 
 
 23.25 
 
 3 
 
 18 
 
 19 
 
 20.44 
 
 28 
 
 12.34 49 
 
 1.13 
 
 58 
 
 10.14 
 
 54 
 
 19.38 
 
 34 
 
 23.26 
 
 2 
 
 19 
 
 20 
 
 20.33 
 
 -29 
 
 12.14 -50 
 
 0.50 
 
 -58 
 
 10.36 
 
 -54 
 
 19.52 
 
 -33 
 
 23.27 
 
 -1 
 
 20 
 
 21 
 
 20.21 
 
 29 
 
 11.54 50 
 
 0.26 
 
 58 
 
 10.57 
 
 53 
 
 20.05 
 
 32 
 
 23.27 
 
 +0 
 
 21 
 
 22 
 
 20.09 
 
 30 
 
 11.34 51 
 
 0.03 
 
 58 
 
 11.18 
 
 53 
 
 20.18 
 
 31 
 
 23.27 
 
 1 
 
 22 
 
 23 
 
 19.57 
 
 31 
 
 11.13 51 
 
 0.20 
 
 58 
 
 11.39 
 
 52 
 
 20.30 
 
 31 
 
 23.26 
 
 2 
 
 23 
 
 24 
 
 19.44 
 
 32 
 
 1053 52 
 
 0. 
 
 44 
 
 58 
 
 12.00 
 
 52 
 
 20.42 30 
 
 23.25 
 
 4 
 
 24 
 
 25 
 
 19.31 
 
 -33 
 
 10.32-52 
 
 1.07 
 
 -58 
 
 12.21 
 
 -51 
 
 20 64 
 
 -29 
 
 23.23 
 
 +5 
 
 25 
 
 26 
 
 19.18 
 
 34 
 
 10.11 52 
 
 1. 
 
 31 
 
 58 
 
 12.41 
 
 51 
 
 21.05 
 
 28 
 
 23.21 
 
 6 
 
 26 
 
 27 
 
 19.04 
 
 34 
 
 9.50 53 
 
 1. 
 
 54 
 
 58 
 
 13.02 
 
 50 
 
 21.16 
 
 27 
 
 23.18 
 
 7 
 
 27 
 
 28 
 
 18.50 
 
 35 
 
 9.29 
 
 53 
 
 2. 
 
 17 
 
 58 
 
 13.22 
 
 50 
 
 21.27 
 
 25 
 
 23.15 
 
 8 
 
 28 
 
 29 
 
 18.36 
 
 36 
 
 9.07 
 
 54 
 
 2.41 
 
 58 
 
 13.42 
 
 49 
 
 21.37 
 
 25 
 
 23.12 
 
 9 
 
 29 
 
 30 
 
 18.21 
 
 -37 
 
 8.46 
 
 -54 
 
 3. 
 
 04 
 
 58 
 
 14.01 
 
 -49 
 
 21.46 
 
 -24 
 
 23.07 
 
 -1-11 
 
 30 
 
 31 
 
 18.07 
 
 37 
 
 8.24 
 
 54 
 
 3. 
 
 27 
 
 58 
 
 14.21 
 
 46 
 
 21.56 
 
 23 
 
 23.03 
 
 11 
 
 31 
 
 33 
 
 17.51 
 
 38 
 
 8.02 
 
 55 
 
 
 
 
 14.40 
 
 48 
 
 
 
 22.58 
 
 13 
 
 32 
 
 167 
 
DECLINATION OF THE SUN FOR THE YEARS 1889, 1893, 1897, 1901. 
 
 
 JAN. 
 
 FEB. 
 
 MARCH. 
 
 APRIL. 
 
 MAY. 
 
 JUNE. 
 
 
 
 ^ 
 
 - 
 
 A 
 
 " 
 
 <> 
 
 A 
 
 ^ 
 
 G 
 
 A 
 
 
 
 A 
 
 03 
 
 c . 
 
 ^ 
 
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 4^ 
 
 o -' 
 
 
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 -t_3 
 
 C* *" 
 
 
 o jj 
 
 +3 
 
 o s- 
 
 4 
 
 o '- 
 
 
 
 3 
 
 . 3 
 
 3 
 
 . 3 
 
 3 
 
 SH 
 
 3 
 
 m 
 
 
 i-* 
 
 , ^ 
 
 FH 
 
 
 
 
 d o 
 
 
 d o 
 
 ^| [ Q 
 
 d o 
 
 O 
 
 ?H O 
 
 ci ^ 
 
 SH O 
 
 d ^ 
 
 
 CJ ^ 
 
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 S A 
 
 OJCQ 
 
 5 r-^ 
 
 
 Z 
 
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 <L t^i 
 
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 .5 
 
 
 
 Q ' 
 
 p 
 
 Q 
 
 
 
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 Q 
 
 Q 
 
 
 
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 O 
 
 
 DO 
 
 / 
 
 
 / 
 
 
 
 o / 
 
 n 
 
 / 
 
 n 
 
 / 
 
 II 
 
 / 
 
 // 
 
 CO 
 
 Q 
 
 
 
 
 
 
 
 
 
 
 
 
 Q 
 
 1 
 
 22.58 
 
 +13 
 
 16.57 
 
 +43 
 
 7.23 
 
 +57 
 
 4.44 
 
 +58 
 
 15.13 
 
 +45 
 
 22.07 
 
 +20 
 
 1 
 
 2 
 
 22.53 
 
 14 
 
 16.40 
 
 44 
 
 7.00 
 
 57 
 
 5.07 
 
 57 
 
 15.31 
 
 44 
 
 22.15 
 
 19 
 
 2 
 
 3 
 
 22.47 
 
 15 
 
 16.22 
 
 44 
 
 6.37 
 
 58 1 5.30 
 
 57 
 
 15.49 
 
 44 
 
 22.22 
 
 18 
 
 3 
 
 4 
 
 22.40 
 
 16 
 
 16.04 
 
 45 
 
 6.14 
 
 58 
 
 5.53 
 
 57 
 
 16.06 
 
 43 
 
 22.30 17 
 
 4 
 
 5 
 
 22.34 
 
 +17 
 
 15.46 
 
 +46 
 
 5.51 
 
 +58 
 
 6.15 
 
 +57 
 
 16.23 
 
 +42 
 
 22.36 +16 
 
 5 
 
 6 
 
 22.26 
 
 19 
 
 15.27 
 
 47 
 
 5.28 
 
 58 
 
 6.38 
 
 56 
 
 16.40 
 
 42 
 
 22.42 
 
 15 
 
 6 
 
 7 
 
 22.19 
 
 20 
 
 15.08 
 
 47 
 
 5.05 
 
 58 
 
 7.01 
 
 56 
 
 16.57 
 
 41 
 
 22.48 14 
 
 7 
 
 8 
 
 22.11 
 
 21 
 
 14.49 
 
 48 
 
 4.41 
 
 58 
 
 7.23 
 
 56 
 
 17.13 
 
 40 
 
 22.54 13 
 
 8 
 
 9 
 
 22.02 
 
 22 
 
 14.30 
 
 48 
 
 4.18 
 
 59 
 
 7.45 
 
 56 
 
 17.29 
 
 40 
 
 22.59 
 
 12 
 
 9 
 
 10 
 
 21.53 
 
 +23 
 
 14.11 
 
 +49 
 
 3.54 
 
 +59 
 
 8.08 
 
 +55 
 
 17.45 
 
 +39 
 
 23.03+11 
 
 10 
 
 11 
 
 21.44 
 
 24 
 
 13.51 
 
 50 
 
 3.31 
 
 59 
 
 8.30 
 
 55 
 
 18.00 
 
 38 
 
 23.07 
 
 10 
 
 11 
 
 12 
 
 21.34 
 
 25 
 
 13.31 
 
 50 
 
 3.07 
 
 59 
 
 8.51 
 
 54 
 
 18.15 
 
 37 
 
 23.11 
 
 9 
 
 12 
 
 13 
 
 21.24 
 
 26 
 
 13.11 
 
 51 
 
 2.43 
 
 59 
 
 9.13 
 
 54 
 
 18.30 
 
 37 
 
 23.15 
 
 8 
 
 13 
 
 14 
 
 21.13 
 
 27 
 
 12.50 
 
 51 
 
 2.20 
 
 59 
 
 9.35 
 
 54 
 
 18.44 
 
 36 
 
 23.18 
 
 7 
 
 14 
 
 15 
 
 21.02 
 
 +28 
 
 12.30 
 
 +52 
 
 1.56 
 
 459 
 
 9.56 
 
 +53 
 
 18.59 
 
 +35 
 
 23.20 
 
 +6 
 
 15 
 
 16 
 
 20.50 
 
 29 
 
 12.09 
 
 52 
 
 1.32 
 
 59 
 
 10.17 
 
 53 
 
 19.12 
 
 31 
 
 23.22 
 
 5 
 
 16 
 
 17 
 
 20.38 
 
 30 
 
 11.48 
 
 53 
 
 1.09 
 
 59 
 
 10.39 
 
 52 
 
 19.26 
 
 33 
 
 23.24 
 
 4 
 
 17 
 
 18 
 
 20.26 
 
 31 
 
 11.27 
 
 53 
 
 0.45 
 
 59 
 
 10.59 
 
 52 
 
 19.39 
 
 33 
 
 23.26 
 
 3 
 
 18 
 
 19 
 
 20.14 
 
 32 
 
 11.05 
 
 54 
 
 0.2 
 
 I 
 
 59 
 
 11.20 
 
 52 
 
 19.52 
 
 32 
 
 23.26 
 
 2 
 
 19 
 
 20 
 
 20.01 
 
 +33 
 
 10.44 
 
 +54 
 
 0.02 
 
 +59 
 
 11.41 
 
 +51 
 
 20.05 
 
 +31 
 
 23.27 
 
 +1 
 
 20 
 
 21 
 
 19.47 
 
 34 
 
 10.22 
 
 54 
 
 0.26 
 
 59 
 
 12.01 
 
 51 
 
 20.17 
 
 30 
 
 23.27 
 
 -0 
 
 21 
 
 22 
 
 19.33 
 
 35 
 
 10.00 
 
 55 
 
 0.49 
 
 59 
 
 12.21 
 
 50 
 
 20.29 
 
 29 
 
 23.27 
 
 1 
 
 22 
 
 23 
 
 19.19 
 
 36 
 
 9.38 
 
 55 
 
 1.13 
 
 59 
 
 12.41 
 
 50 
 
 20.40 
 
 28 
 
 23.26 
 
 2 
 
 23 
 
 24 
 
 19.05 
 
 37 
 
 9.16 
 
 56 
 
 1.37 
 
 59 
 
 13.01 
 
 49 
 
 20.51 
 
 27 
 
 23.25 
 
 3 
 
 24 
 
 25 
 
 18.50 
 
 +37 
 
 8.54+56 
 
 2.00 
 
 +59 
 
 13.21 
 
 +49 
 
 21.02 
 
 +26 
 
 23.23 
 
 -4 
 
 25 
 
 26 
 
 18.35 
 
 38 
 
 8.31 
 
 56 
 
 2.24 
 
 59 
 
 13.40 
 
 48 
 
 21.12 
 
 26 
 
 23.21 
 
 5 
 
 26 
 
 27 
 
 18.19 
 
 39 
 
 8.09 57 
 
 2.47 
 
 59 13.59 
 
 47 
 
 21.23 
 
 25 
 
 23.19 
 
 6 
 
 27 
 
 28 
 
 18.03 
 
 40 
 
 7.46 
 
 57 
 
 3.11 
 
 58 14.18 
 
 47 
 
 21.32 
 
 24 
 
 23.16 
 
 7 
 
 28 
 
 29 
 
 17.47 
 
 41 
 
 7.23 
 
 57 
 
 3.34 
 
 58 
 
 14.36 
 
 46 
 
 21.42 
 
 23 
 
 23.13 
 
 8 
 
 29 
 
 30 
 
 17.31 
 
 +42 
 
 
 
 3.57 
 
 +58 
 
 14.55 
 
 +46 
 
 21.51 
 
 +22 
 
 23.09 
 
 -9 
 
 30 
 
 31 
 
 17.14 
 
 42 
 
 
 
 4.21 
 
 58 
 
 15.13 
 
 45 
 
 21.59 
 
 21 
 
 23.05 
 
 10 
 
 31 
 
 32 
 
 16.57 
 
 43 
 
 
 
 4.44 
 
 581 
 
 
 22.07 
 
 20 
 
 
 32 
 
 
 i 
 
 
 i 
 
 
 
 
 
 
 
 
 1 
 
 
 168 
 
DECLINATION OF THE SUN FOR THE YFAKS 1889, 1893, 1897, 1901. 
 
 
 JULY. 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 
 J3 
 
 D 
 a 
 
 a 
 
 
 
 ^ 
 
 a 
 
 D 
 C 
 
 f. O 
 
 ; 
 
 .c ~ 
 
 
 
 -e 
 
 
 t* 
 
 3 -' 
 
 W 
 
 j G - 
 
 ** c - 
 
 5 c j -' 
 
 C c - 
 
 
 
 M 
 
 fei 
 
 ag. 
 
 3 
 
 o 
 
 fe = 
 
 y C '{H C 
 
 d c SH c 
 
 d c o 
 
 
 
 0^ ^H 
 
 -- J^ 
 
 U ^H 
 
 -^ 
 
 I/ i^i 
 
 72 
 
 
 
 i, V .S 
 
 IX ~ J3 
 
 
 
 
 Q 
 
 ft 
 
 Q 
 
 Q 
 
 ft 
 
 
 Q 
 
 o 
 
 - 
 
 Q 
 
 ft 
 
 Q* Q- 
 
 
 09 
 
 ti 
 
 / 
 
 H 
 
 / 
 
 
 o / 
 
 n 
 
 / 
 
 // 
 
 O / 
 
 
 / 
 
 fl 
 
 m 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ft 
 
 1 
 
 23.06 
 
 -11 
 
 17.55 
 
 -38 
 
 8 07 
 
 -55 
 
 3.22 
 
 58 
 
 14.35 
 
 -48 
 
 21.54 
 
 -23 
 
 1 
 
 2 
 
 23.01 
 
 12 
 
 17.40 
 
 39 
 
 7.46 
 
 55 
 
 3.45 
 
 58 
 
 14.54 
 
 47 
 
 22.02 
 
 22 
 
 2 
 
 3 
 
 22.56 
 
 13 
 
 17.24 
 
 39 
 
 7.24 
 
 55 
 
 4 08 
 
 58 
 
 15.13 
 
 47 
 
 22.11 
 
 21 
 
 3 
 
 4 
 
 22 51 
 
 16 
 
 17. OS 
 
 40 
 
 7.01 
 
 55 
 
 4 31 
 
 58 
 
 15.32 
 
 46 
 
 22.19 
 
 20 
 
 4 
 
 5 
 
 22.45 
 
 -15 
 
 16.52 
 
 -41 
 
 6.39 
 
 -56 
 
 4.55 
 
 -58 
 
 15.50 
 
 -45 
 
 22.27 
 
 -18 
 
 5 
 
 6 
 
 22.39 
 
 16 
 
 16.35 
 
 41 
 
 6.1 
 
 7 
 
 56 
 
 5.18 
 
 57 
 
 16.08 
 
 45 
 
 22.34 
 
 17 
 
 6 
 
 7 
 
 22.33 
 
 17 
 
 16.19 
 
 42 
 
 5.54 
 
 56 
 
 5.41 57 
 
 16.26 
 
 44 
 
 22.41 
 
 16 
 
 r* 
 t 
 
 8 
 
 22.26 
 
 18 
 
 16.01 
 
 43 
 
 5.32 
 
 56 
 
 6.04 57 
 
 16.43 
 
 43 
 
 22.47 
 
 15 
 
 8 
 
 9 
 
 22.19 
 
 19 
 
 15.44 
 
 43 
 
 5.09 
 
 57 
 
 6.26 57 
 
 17.00 
 
 43 
 
 22.53 
 
 14 
 
 9 
 
 10 
 
 22.12 
 
 -20 
 
 15.27 
 
 -44 
 
 4.46 
 
 -57 
 
 6.49 -57 
 
 17.17 
 
 -42 
 
 22.58 
 
 -13 
 
 10 
 
 11 
 
 22.04 
 
 20 
 
 15.09 
 
 45 
 
 4.23 
 
 57 
 
 7.12 56 
 
 17.34 
 
 41 
 
 23.03 
 
 12 
 
 11 
 
 12 
 
 21.55 
 
 2! 
 
 14 51 
 
 45 
 
 4.01 
 
 57 
 
 7.34 56 
 
 17.50 
 
 40 
 
 23.07 
 
 11 
 
 12 
 
 13 
 
 21.47 
 
 22 
 
 14.33 
 
 46 
 
 3.38 
 
 57 
 
 7.57 
 
 56 
 
 18.06 
 
 39 
 
 23.12 
 
 10 
 
 13 
 
 14 
 
 21.38 
 
 23 
 
 14.14 
 
 46 
 
 3.15 
 
 58 
 
 8.19 
 
 56 
 
 18.22 
 
 39 
 
 23.15 
 
 8 
 
 14 
 
 15 
 
 21.28 
 
 -24 
 
 13.54 
 
 -47 
 
 2.51 
 
 -58 
 
 8.41 
 
 55 
 
 18.37 
 
 -38 
 
 23.18 
 
 ^ 
 
 15 
 
 16 
 
 21.18 
 
 25 
 
 13.37 
 
 48 
 
 2.28 
 
 58 
 
 9.04 55 
 
 18.52 
 
 37 
 
 23.21 
 
 6 
 
 16 
 
 17 21.08 
 
 26 
 
 13.17 
 
 48 
 
 2.05 
 
 58 
 
 9.26 55 
 
 19.07 36 
 
 23.23 
 
 5 
 
 17 
 
 18 
 
 20.58 
 
 27 
 
 12.58 
 
 49 
 
 1.42 
 
 58 
 
 9.47 54 
 
 19.211 35 
 
 23.25 
 
 4 
 
 18 
 
 19 20.47 
 
 28 
 
 12 38 
 
 49 
 
 1.19 
 
 58 
 
 10.09 
 
 54 
 
 19.35 34 
 
 23 . 26 
 
 2 
 
 19 
 
 20 20.36 
 
 -28 
 
 12.19 
 
 -50 
 
 0.55 
 
 -58 
 
 10.31 
 
 -54 
 
 19.49 -34 
 
 23.27 
 
 -1 
 
 20 
 
 21 20 24 
 
 29 
 
 11.59 
 
 50 
 
 0.32 
 
 58 
 
 10.52 
 
 53 
 
 20 02 
 
 33 
 
 23.27 
 
 
 
 21 
 
 22 2012 
 
 30 
 
 11.39 
 
 51 
 
 0.08 
 
 58 
 
 11.13 53 
 
 20.15 
 
 32 23.27 
 
 +1 
 
 22 
 
 23 20 00 
 
 31 
 
 11.18 
 
 51 
 
 0.15 
 
 58 
 
 11.34 52 
 
 20.27 
 
 31 23.26 
 
 2 
 
 23 
 
 24 19.47 
 
 31 
 
 10.58 
 
 51 0.38 
 
 58 
 
 11.55 52 
 
 20.40 
 
 30 
 
 23.25 
 
 3 
 
 24 
 
 25 19.34 
 
 -33 
 
 10.37 
 
 -52 1.02 
 
 -58 
 
 12.16 -51 
 
 20.51 
 
 -29 
 
 23 24 
 
 +5 
 
 25 
 
 26 19.21 
 
 33 
 
 10.16 
 
 52 1.25 
 
 58 
 
 12.37 
 
 51 
 
 21.03 
 
 28 
 
 23.22 
 
 6 
 
 26 
 
 27 
 
 19.08 
 
 34 
 
 9.55 
 
 53 1.48 
 
 58 
 
 12.57 51 
 
 21.14 27 
 
 23.19 
 
 7 
 
 27 
 
 28 
 
 18.54 
 
 35 
 
 9.34 
 
 53 2.12 
 
 58 
 
 13.17 50 
 
 21.241 26 
 
 23 16 
 
 8 
 
 28 
 
 29 
 
 18.39 
 
 36 
 
 9.12 
 
 53 2.35 
 
 58 
 
 13.37 49 
 
 21.34 
 
 25 
 
 23.12 9 
 
 29 
 
 30 
 
 18.25 
 
 -37 
 
 8.51 
 
 -54, 2.58 
 
 -58 
 
 13.57 
 
 -49 
 
 21.44 
 
 -24 
 
 23.09 
 
 +10 
 
 30 
 
 31 
 
 18.10 
 
 37 
 
 8.29 
 
 54 
 
 3.27 
 
 58 
 
 14.16 
 
 48 
 
 21.53 
 
 23 
 
 23.04 
 
 12 
 
 31 
 
 32 
 
 17.55 
 
 38 
 
 8.08 
 
 55 
 
 
 
 
 14.35 
 
 48 
 
 
 
 22.59 
 
 13 
 
 32 
 
 169 
 
TABLE IV. 
 
 EQUATION OF TIME, 
 1886-1901. 
 
EQUATION OF TIME FOR THE YEARS 1886, 1890, 1894, 1898. 
 
 
 JAN. 
 
 FEB. 
 
 MAR. 
 
 APR. 
 
 MAY. 
 
 JUNE. 
 
 JULY 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 o5 
 
 03 
 
 <D 
 
 <B 
 
 i 
 
 6 
 
 <D 
 
 
 
 a/' 
 
 oi 
 
 0) 
 
 
 0) 
 
 
 S 
 
 a 
 
 a 
 
 aa 
 
 
 a a 
 
 a 
 
 a 
 
 aa 
 
 as 
 
 as 
 
 
 
 
 *r^ 
 
 *r^ 
 
 i i 
 
 O *r^ 
 
 O T^ 
 
 O ' 
 
 *.T3 
 
 *~ 
 
 O *r> 
 
 '3 
 
 O '43 
 
 i* 
 
 *p; 
 
 
 
 
 . 
 
 o*t 
 
 o i . 
 
 ~ 
 
 O 
 
 o . 
 
 o . 
 
 M 
 
 S-, *^ 
 
 -, ^ 
 f 
 
 
 2 
 
 
 43 a 
 
 C-, 
 
 43 a 
 
 ** . a 
 
 " a 
 
 ^ p l 
 
 *" a 
 
 * a 
 
 . a 
 
 ^ a 
 
 . a 
 
 . 
 
 73 ^ 
 
 
 73 a 
 
 73 a 
 
 73 a 
 
 73 J3 & 
 
 fi a 
 
 j$ 73 a 73 a 
 
 73 a 
 
 ,c a 
 
 ,d a 
 
 -c a 
 
 pO 
 
 
 
 73 ~ 
 
 'w X 
 
 73 08 
 
 
 3 c3 
 
 3 73 S3 
 
 73 eg 
 
 73 oj 
 
 3 s3 
 
 
 3 fly 
 
 p 
 
 J"j c3 
 
 
 4 
 
 -4 
 
 4 
 
 <: CO 
 
 co 
 
 CO <J 
 
 *" 
 
 4 
 
 50 
 
 CO 
 
 CO 
 
 CO 
 
 
 00 
 
 
 
 M. S 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M. S. 
 
 M.S. 
 
 M. S. 
 
 1 
 
 353 
 
 1351 
 
 1230 
 
 354 
 
 302 
 
 227 
 
 333 
 
 605 
 
 008 
 
 1021 
 
 1618 
 
 1044 
 
 2 
 
 421 
 
 1358 
 
 1218 
 
 336 
 
 310 
 
 218 
 
 344 
 
 601 
 
 027 
 
 1040 
 
 16 18 
 
 1021 
 
 3 
 
 449 
 
 1405 
 
 1205 
 
 318 316 
 
 208 
 
 355 
 
 557 
 
 046 
 
 1058 
 
 1618 
 
 958 
 
 4 
 
 5 16 
 
 1410 
 
 11 52 
 
 300 
 
 322 
 
 158 
 
 406 
 
 552 
 
 105 
 
 11 17 
 
 1618 
 
 933 
 
 5 
 
 543 
 
 1415 
 
 1138 
 
 243 
 
 327 
 
 147 
 
 417 
 
 546 
 
 125 
 
 1135 
 
 1616 
 
 909 
 
 6 
 
 610 
 
 1420 
 
 1124 
 
 225 
 
 332 
 
 137 
 
 427 
 
 540 
 
 1 45 
 
 11 52 
 
 1614 
 
 843 
 
 7 
 
 636 
 
 1423 
 
 11 10 
 
 208 
 
 337 
 
 1 26 
 
 437 
 
 533 
 
 205 
 
 1209 
 
 1610 
 
 818 
 
 8 
 
 702 
 
 1425 
 
 1055 
 
 1 51 
 
 341 
 
 1 14 
 
 447 
 
 525 
 
 226 
 
 1226 
 
 1606 
 
 r 
 
 "51 
 
 9 
 
 727 
 
 1427 
 
 1040 
 
 1 34 
 
 344 
 
 1 03 
 
 456 
 
 517 
 
 246 
 
 1242 
 
 1602 
 
 725 
 
 10 
 
 751 
 
 1428 
 
 1025 
 
 1 18 
 
 346 
 
 051 
 
 504 
 
 509 
 
 307 
 
 1258 
 
 1556 
 
 657 
 
 11 
 
 815 
 
 1428 
 
 1009 
 
 1 02 
 
 349 
 
 039 
 
 513 
 
 459 
 
 328 
 
 1314 
 
 1549 
 
 630 
 
 12 
 
 838 
 
 1427 
 
 953 
 
 046 
 
 350 
 
 027 
 
 520 
 
 449 
 
 349 
 
 1329 
 
 1542 
 
 602 
 
 13 
 
 901 
 
 1426 
 
 936 
 
 030 
 
 351 
 
 15 
 
 528 
 
 439 
 
 410 
 
 1343 
 
 1534 
 
 534 
 
 14 
 
 923 
 
 1424 
 
 919 
 
 015 
 
 351 
 
 002 
 
 534 
 
 428 
 
 431 
 
 135? 
 
 1525 
 
 505 
 
 15 
 
 944 
 
 1421 
 
 902 
 
 000 
 
 351 
 
 010 
 
 541 
 
 417 
 
 452 
 
 1411 
 
 1515 
 
 436 
 
 16 
 
 1005 
 
 1417 
 
 845 
 
 015 
 
 351 
 
 023 
 
 546 
 
 405 
 
 314 
 
 1424 
 
 1504 
 
 407 
 
 17 
 
 1024 
 
 1413 
 
 827 
 
 029 
 
 349 
 
 036 
 
 552 
 
 352 
 
 535 
 
 1436 
 
 1452 
 
 338 
 
 18 10 44 
 
 1407 
 
 810 
 
 043 
 
 348 
 
 049 
 
 557 
 
 339 
 
 556 
 
 1447 
 
 1440 
 
 308 
 
 19 11 02 
 
 1402 
 
 752 
 
 057 
 
 345 
 
 102 
 
 601 
 
 326 
 
 617 
 
 1458 
 
 1426 
 
 238 
 
 20 11 20 
 
 1355 
 
 734 
 
 1 10 
 
 342 
 
 1 14 
 
 604 
 
 312 
 
 638 
 
 1509 
 
 1412 
 
 209 
 
 21 
 
 11 37 
 
 1348 
 
 715 
 
 1 22 
 
 339 
 
 1"27 
 
 608 
 
 257 
 
 659 
 
 1518 
 
 1357 
 
 ] 
 
 [39 
 
 22 
 
 11 53 
 
 1340 
 
 657 
 
 1 35 
 
 335 
 
 1 40 
 
 610 
 
 242 
 
 720 
 
 1527 
 
 1341 
 
 ] 
 
 109 
 
 23 
 
 1208 
 
 13 33 
 
 639 
 
 147 
 
 330 
 
 1 53 
 
 612 
 
 227 
 
 741 
 
 15 36 
 
 1324 
 
 038 
 
 24 
 
 12 23 
 
 1323 
 
 620 
 
 1 58 
 
 325 
 
 206 
 
 614 
 
 211 
 
 802 
 
 1543 
 
 13 07 
 
 
 
 08 
 
 25 
 
 1236 
 
 1313 
 
 602 
 
 209 
 
 320 
 
 219 
 
 615 
 
 155 
 
 822 
 
 1550 
 
 1249 
 
 022 
 
 26 
 
 1249 
 
 1303 
 
 543 
 
 219 
 
 314 
 
 232 
 
 615 
 
 1 39 
 
 843 
 
 1556 
 
 1230 
 
 051 
 
 27 
 
 1302 
 
 1253 
 
 525 
 
 229 
 
 307 
 
 244 
 
 6 15 
 
 1 22 
 
 903 
 
 1602 
 
 1210 
 
 ] 
 
 .21 
 
 28 
 
 1313 
 
 1242 
 
 507 
 
 238 
 
 300 
 
 257 
 
 614 
 
 1 04 
 
 923 
 
 1607 
 
 1150 
 
 ] 
 
 [51 
 
 29 
 
 1324 
 
 1230 
 
 448 
 
 247 
 
 252 
 
 309 
 
 613 
 
 047 
 
 942 
 
 1610 
 
 1129 
 
 220 
 
 30 
 
 1333 
 
 
 430 
 
 255 
 
 244 
 
 321 
 
 611 
 
 029 
 
 1002 
 
 1614 
 
 1107 
 
 249 
 
 31 
 
 1342 
 
 
 412 
 
 302 
 
 236 
 
 333 
 
 608 
 
 Oil 
 
 1021 
 
 1616 
 
 1044 
 
 318 
 
 i 
 
 
 172 
 
EQUATION OF TIME FOR THE YEARS 1887, 1891, 1895, 1899. 
 
 
 JAN. 
 
 FEB. 
 
 31 AR 
 
 APR. 
 
 MAY. 
 
 JUNE. 
 
 JULY. 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 CD 
 
 CD 
 
 c 
 
 e 
 
 cv 
 
 
 
 V 
 
 
 O> 
 
 03 
 
 cJ 
 
 C E- 
 
 
 
 
 a 
 
 r* 
 
 _ 
 
 
 
 ->, S 
 
 
 
 ^ 
 
 Z 
 
 
 
 S JE 
 
 
 
 o*t 
 
 *". 
 
 2 '* x 
 
 2- 
 
 2 o'-5 
 
 !-. +J . 
 
 s . 
 
 o'- 3 
 
 cr 
 
 9'Z 
 
 S* 3 
 
 *- ft 
 
 
 ~ ft 
 
 73 P. 
 
 " p. 
 
 73 P. 
 
 *- P. 
 
 73 P. 
 
 PI 
 
 73 .0 P. 
 
 ". P. 
 
 > ft 
 
 J= * ft 
 
 ^ a. 
 
 73 ft 
 
 ~ ft 
 
 73 ft 
 
 *" ft 
 
 ft 
 
 ]=' ft 
 
 *"" 9- 
 
 "' ~ E 
 ^ *C ert 
 
 
 
 73 S3 
 
 73 C5 
 
 < 02 
 
 3 CO 
 02 
 
 < <* 
 
 73 eg 
 
 73 CS 
 
 3 CS 
 02 
 
 co 
 
 -2 * 
 
 p s* wj 
 
 02 < 
 
 02 
 
 C? 
 
 M. S. 
 
 M.S. 
 
 M. S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M. S. 
 
 M. S. 
 
 M.S. 
 
 M.S. 
 
 M. S. 
 
 M. S. 
 
 O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1 
 
 347 
 
 1349 
 
 1233 
 
 359 
 
 300 
 
 228 
 
 330 
 
 606 
 
 004 
 
 10 17 
 
 1618 
 
 1051 
 
 2 
 
 415 
 
 1357 
 
 1221 
 
 341 
 
 307 
 
 219 
 
 342 
 
 602 
 
 023 
 
 1036 
 
 1620 
 
 1028 
 
 3 
 
 443 
 
 1404 
 
 1209 
 
 323 
 
 314 
 
 210 
 
 353 
 
 558 
 
 042 1055 1620 
 
 1004 
 
 4 
 
 510 
 
 1409 
 
 11 56 
 
 305 
 
 320 
 
 200 
 
 404 
 
 552 
 
 102 
 
 11 13 16 19 
 
 940 
 
 5 
 
 537 
 
 14 14 
 
 1142 
 
 247 
 
 326 
 
 1 50 
 
 4 14 
 
 547 
 
 121 
 
 11 32 16 18 
 
 9 16 
 
 6 
 
 604 
 
 1418 
 
 1128 
 
 229 
 
 331 
 
 139 
 
 425 
 
 541 
 
 141 
 
 11 49 16 16 
 
 851 
 
 7 
 
 630 
 
 14 22 
 
 11 14 
 
 2 12 
 
 336 
 
 129 
 
 434 
 
 534 
 
 202 1207 1613 
 
 825 
 
 8 
 
 655 
 
 1424 
 
 1059 
 
 1 55 
 
 340 
 
 1 17 
 
 444 
 
 526 
 
 222 1223 1609 
 
 759 
 
 9 
 
 720 
 
 1426 
 
 1044 
 
 1 38 
 
 343 
 
 1 06 
 
 453 
 
 5 18 
 
 242 1240 1604 
 
 732 
 
 10 
 
 745 
 
 1427 
 
 1028 
 
 121 
 
 346 
 
 054 
 
 502 
 
 510 
 
 303 1256 1558 
 
 705 
 
 11 
 
 809 
 
 1427 
 
 1012 
 
 1 05 
 
 348 
 
 043 
 
 510 
 
 501 
 
 324 
 
 1311 1552 
 
 637 
 
 12 
 
 832 
 
 1427 
 
 956 
 
 049 
 
 350 
 
 030 
 
 518 
 
 451 
 
 345 
 
 13 26 15 45 
 
 609 
 
 13 
 
 855 
 
 1425 
 
 939 
 
 033 
 
 351 
 
 018 
 
 525 
 
 441 
 
 406 
 
 13 41 15 36 
 
 541 
 
 14 
 
 917 
 
 1423 
 
 923 
 
 018 
 
 352 
 
 006 
 
 532 
 
 430 
 
 427 
 
 1355 
 
 1527 
 
 512 
 
 15 
 
 938 
 
 1421 
 
 906 
 
 003 
 
 352 
 
 007 
 
 539 
 
 4 19 
 
 448 
 
 1408 
 
 1517 
 
 443 
 
 16 
 
 959 
 
 1417 
 
 848 
 
 012 
 
 351 
 
 020 
 
 545 
 
 407 
 
 509 
 
 1422 
 
 1507 
 
 414 
 
 17 
 
 1019 
 
 14 13 
 
 831 
 
 026 
 
 350 
 
 033 
 
 550 
 
 355 
 
 530 1433 1455 
 
 344 
 
 18 
 
 1038 
 
 1408 
 
 8 13 
 
 040 
 
 348 
 
 046 
 
 556 
 
 342 
 
 551 
 
 14 45 14 43 
 
 314 
 
 19 
 
 1057 
 
 1403 
 
 756 
 
 053 
 
 346 
 
 059 
 
 600 
 
 329 
 
 6 12 
 
 14 56 14 29 
 
 245 
 
 20 
 
 11 15 
 
 1357 
 
 738 
 
 107 
 
 343 
 
 1 12 
 
 604 
 
 3 15 
 
 633 
 
 15 06 14 15 
 
 215 
 
 21 
 
 11 32 
 
 1350 
 
 720 
 
 1 19 
 
 389 
 
 1 25 
 
 607 
 
 301 
 
 654 
 
 15 16 14 00 
 
 1 45 
 
 22 
 
 11 49 
 
 1342 
 
 702 
 
 131 
 
 335 
 
 1 38 
 
 6 10 
 
 246 
 
 7 15 
 
 1525 1345 
 
 1 15 
 
 23 
 
 1204 
 
 1334 
 
 643 
 
 143 
 
 331 
 
 1 51 
 
 613 
 
 231 
 
 736 
 
 1534 1328 
 
 045 
 
 24 
 
 12 19 
 
 1326 
 
 625 
 
 1 54 
 
 326 
 
 204 
 
 6 14 
 
 215 
 
 757 
 
 15 42 13 11 
 
 15 
 
 25 
 
 1233 
 
 13 16 
 
 607 
 
 205 
 
 320 
 
 217 
 
 6 15 
 
 200 
 
 817 
 
 15 49 12 53 
 
 015 
 
 26 
 
 1247 
 
 1306 
 
 549 
 
 216 
 
 314 
 
 230 
 
 616 
 
 1 43 
 
 838 
 
 1555 1234 
 
 045 
 
 27 
 
 1259 
 
 12 56 
 
 530 
 
 225 
 
 308 
 
 242 
 
 616 
 
 1 26 
 
 858 
 
 1601 1215 
 
 1 14 
 
 28 
 
 13 11 
 
 12 45 
 
 512 
 
 235 
 
 301 
 
 255 
 
 6 15 
 
 1 09 
 
 9 18 
 
 1606 1155 
 
 1 44 
 
 29 
 
 13 22 
 
 1233 
 
 4 53 
 
 244 
 
 253 
 
 307 
 
 6 14 
 
 051 
 
 938 
 
 16 10 11 34 
 
 2 13 
 
 30 
 
 13 32 
 
 
 435 
 
 252 
 
 245 
 
 319 
 
 612 
 
 033 
 
 958 
 
 1614 1113 
 
 242 
 
 31 
 
 1341 
 
 
 4 17 
 
 260 
 
 237 
 
 330 
 
 609 
 
 015 
 
 1017 
 
 1616 1051 
 
 311 
 
 173 
 
EQUATION OF TIME FOR THE YEARS 1888, 1892, 1896, 1900. 
 
 
 JAN. 
 
 FEB. 
 
 MAR. 
 
 APR. 
 
 MAY 
 
 JUNE 
 
 JULY. 
 
 AUG. 
 
 SEPT 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 e 
 
 
 
 o5 
 
 
 ec 
 
 C< 
 
 <D 
 
 
 1 ; 
 
 6 
 
 
 r- V 
 
 03 
 
 
 
 o> 
 
 
 o> 
 
 
 i 
 
 a 
 
 g 
 
 
 H 
 
 3 S 
 
 c 
 
 g 
 
 a 
 
 
 s g 
 
 SS 
 
 SS 
 
 SS 
 
 g 
 
 g 
 
 
 *r^ 
 
 *^ 
 
 'r^ 
 
 
 &M "*~^ 
 
 g+3 
 
 o 
 
 L- r- 
 
 i^> 
 
 
 *- 
 
 g+3 
 
 0:5 
 
 
 
 o 
 
 i -i 
 
 
 o . 
 
 . 
 
 O 
 
 
 ^t-H ^ 
 
 _&H 
 
 
 
 
 . 
 
 
 <4H 
 
 
 
 
 - 
 
 
 
 ** a 
 
 ** a 
 
 43 P, 
 
 T* 
 
 X C*> 
 
 W . P. 
 
 ' 4 ~ l 
 
 4-5 * 
 
 "*" a 
 
 Tl 
 
 X 2- 
 
 C . P. 
 
 t|H a 
 
 **"" a 
 
 t| ~ l 
 
 *~' a 
 
 
 73 Q, 
 
 a a 
 
 ^3 
 
 U 
 
 2 % 
 
 -2 g. 
 
 _Q 
 
 *W Q_ 
 
 73 a 
 
 T3 
 
 2 P. 
 
 
 X Q, 
 
 .da 
 
 j-j 
 
 73 a 
 
 
 73 o3 
 
 T3 o3 
 
 T3 o3 
 
 <! 
 
 5 TO 
 rr> 
 
 3 OS 
 
 S 
 
 'W TO" 
 
 73 03 
 
 
 02^ 
 
 3 o3 
 
 3 o3 
 
 3 3 
 
 ^j 
 
 T! o3 
 
 
 ^ 
 
 <! 
 
 < 
 
 
 uu 
 
 02 
 
 02 
 
 < 
 
 < 
 
 
 VJU 
 
 02 
 
 02 
 
 oc 
 
 02 
 
 ^ 
 
 33 
 
 o8 
 
 Q 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 1 
 
 340 
 
 1348 
 
 12 25 
 
 345 
 
 305 
 
 222 
 
 338 
 
 602 
 
 19 
 
 1033 
 
 1620 
 
 1034 
 
 2 
 
 408 
 
 13 55 
 
 12 12 
 
 327 
 
 312 
 
 2 12 
 
 350 
 
 558 
 
 038 
 
 1052 
 
 1621 
 
 1011 
 
 3 
 
 436 
 
 1402 
 
 11 59 
 
 3 10 
 
 3 18 
 
 202 
 
 401 
 
 553 
 
 (158 11 10 1620 
 
 947 
 
 4 
 
 503 
 
 1408 
 
 11 46 
 
 2 52 
 
 324 
 
 1 
 
 52 
 
 4 12 
 
 548 
 
 1 17 
 
 11 28 16 19 
 
 922 
 
 5 
 
 530 
 
 14 14 
 
 11 32 
 
 234 
 
 329 
 
 1 
 
 42 
 
 422 
 
 542 
 
 137 
 
 11 46 
 
 1617 
 
 857 
 
 6 
 
 557 
 
 1418 
 
 11 18 
 
 217 
 
 334 
 
 1 
 
 31 
 
 432 
 
 5 
 
 35 
 
 157 
 
 1203 
 
 1614 
 
 831 
 
 7 
 
 623 
 
 1422 
 
 11 03 
 
 200 
 
 333 
 
 1 
 
 20 
 
 442 
 
 5 
 
 28 
 
 217 
 
 1220 
 
 1610 
 
 805 
 
 8 
 
 649 
 
 1425 
 
 1048 
 
 I 
 
 43 
 
 342 
 
 1 
 
 08 
 
 451 
 
 5 
 
 20 
 
 237 
 
 1236 
 
 1606 
 
 r 
 i 
 
 38 
 
 9 
 
 714 
 
 1427 
 
 1033 
 
 1 
 
 27 
 
 345 
 
 056 
 
 500 
 
 5 
 
 12 
 
 258 
 
 1252 
 
 1600 
 
 7 
 
 11 
 
 10 
 
 739 
 
 1428 
 
 1017 
 
 1 
 
 10 
 
 347 
 
 045 
 
 509 
 
 5 
 
 03 
 
 319 
 
 1308 
 
 1554 
 
 644 
 
 11 
 
 803 
 
 1429 
 
 1001 
 
 054 
 
 349 
 
 032 
 
 517 
 
 4 
 
 54 
 
 340 
 
 13 28 
 
 1547 
 
 6 16 
 
 12 
 
 827 
 
 1429 
 
 945 
 
 039 
 
 350 
 
 020 
 
 524 
 
 4 
 
 44 
 
 401 
 
 1338 1539 
 
 548 
 
 13 
 
 850 
 
 1428 
 
 928 
 
 023 
 
 350 
 
 
 
 07 
 
 531 
 
 4 
 
 33 
 
 422 
 
 1352 1530 
 
 519 
 
 14 
 
 913 
 
 1426 
 
 9 12 
 
 
 
 08 
 
 350 
 
 005 
 
 538 
 
 4 
 
 22 
 
 423 
 
 1405 1521 
 
 450 
 
 15 
 
 934 
 
 1423 
 
 855 
 
 006 
 
 350 
 
 018 
 
 544 
 
 4 
 
 10 
 
 504 
 
 14 19 15 10 
 
 421 
 
 16 
 
 955 
 
 1420 
 
 837 
 
 021 
 
 349 
 
 031 
 
 550 
 
 3 
 
 58 
 
 525 
 
 1431 
 
 1459 
 
 352 
 
 17 
 
 1016 
 
 14 16 
 
 820 
 
 035 
 
 347 
 
 044 
 
 555 
 
 3 
 
 45 
 
 547 
 
 1443 
 
 1447 
 
 323 
 
 18 
 
 1035 
 
 1412 
 
 802 
 
 048 
 
 345 
 
 057 
 
 559 
 
 3 
 
 3> 
 
 608 
 
 1454 
 
 1434 
 
 253 
 
 19 
 
 10 54 
 
 1406 
 
 744 
 
 1 
 
 02 
 
 342 
 
 1 
 
 10 
 
 603 
 
 3 
 
 18 
 
 629 
 
 1505 
 
 1420 
 
 223 
 
 20 
 
 11 12 
 
 1400 
 
 726 
 
 1 
 
 15 
 
 339 
 
 1 
 
 22 
 
 607 
 
 3 
 
 04 
 
 650 
 
 1515 
 
 1406 
 
 1 
 
 54 
 
 21 
 
 1130 
 
 1353 
 
 708 
 
 1 
 
 27 
 
 335 
 
 1 
 
 35 
 
 610 
 
 2 
 
 49 
 
 711 
 
 1525 
 
 1350 
 
 1 
 
 24 
 
 22 
 
 1146 
 
 1346 
 
 650 
 
 1 
 
 39 
 
 331 
 
 1 
 
 48 
 
 6 12 
 
 2 
 
 34 
 
 732 
 
 1533 
 
 1334 
 
 054 
 
 23 
 
 1202 
 
 13 38 
 
 631 
 
 1 
 
 50 
 
 326 
 
 201 
 
 6 13 
 
 2 
 
 18 
 
 753 
 
 1542 
 
 13 17 
 
 
 
 24 
 
 24 
 
 12 17 
 
 1329 
 
 613 
 
 202 
 
 321 
 
 214 
 
 614 
 
 2 
 
 02 
 
 814 
 
 1549 
 
 1259 
 
 006 
 
 25 
 
 1231 
 
 1320 
 
 554 
 
 212 
 
 315 
 
 226 
 
 615 
 
 1 
 
 46 
 
 834 
 
 1556 
 
 1241 
 
 036 
 
 26 
 
 1245 
 
 1310 
 
 536 
 
 222 
 
 309 
 
 239 
 
 615 
 
 1 
 
 29 
 
 855 
 
 16 01 12 22 
 
 1 
 
 06 
 
 27 
 
 1257 
 
 1300 
 
 517 
 
 232 
 
 302 
 
 251 
 
 614 
 
 1 
 
 12 
 
 915 
 
 1607 1202 
 
 1 
 
 35 
 
 28 
 
 1309 
 
 1249 
 
 459 
 
 241 
 
 255 
 
 303 
 
 613 
 
 
 
 54 
 
 935 
 
 16 11 ' 11 41 
 
 205 
 
 29 
 
 1320 
 
 1237 
 
 440 
 
 250 
 
 247 
 
 3 15 
 
 611 
 
 
 
 36 
 
 954 
 
 16 15 11 19 
 
 234 
 
 30 
 
 1330 
 
 1225 
 
 422 
 
 258 
 
 239 
 
 327 
 
 609 
 
 
 
 18 
 
 1014 
 
 1617 
 
 1057 
 
 303 
 
 31 
 
 1339 
 
 
 404 
 
 305 
 
 231 
 
 338 
 
 606 
 
 
 
 00 
 
 1033 
 
 1619 
 
 1034 
 
 332 
 
 174 
 
EQUATION OF TIME FOR THE YEARS 1889, 1893, 1897, 1901. 
 
 
 JAN. 
 
 FEB. 
 
 MAR. 
 
 APR. 
 
 MAY. 
 
 JUNE. 
 
 JULY. 
 
 AUG. 
 
 SEPT. 
 
 OCT. 
 
 Nov. 
 
 DEC. 
 
 
 e 
 
 o 
 
 oj 
 
 
 
 
 03 
 
 
 o 
 
 ' 
 
 OJ 
 
 - * 
 
 oJ 
 
 o5 
 
 0) 
 
 
 a 
 
 a 
 
 s 
 
 
 cE 
 
 SS S 
 
 = 
 
 g 
 
 S 
 
 
 S 5 
 
 S= = S 
 
 
 H 
 
 i * 
 
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 *^ 
 
 
 O '" 
 
 O' O 
 
 ~ 
 
 5 
 
 
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 o o -.5 
 
 
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 E* 
 
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 Q 
 
 
 
 
 
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 *" ft 
 
 
 "~ ft 
 
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 ~ 0. 
 
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 ^ ft 
 
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 : w a. 
 
 
 ft 
 
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 "C 
 
 r a 
 
 2 - 
 
 j ft 
 
 -C ft 
 
 JS ft 
 
 '** "O 2 
 
 
 O ei 
 
 C o3 
 
 S3 
 
 T3 
 
 
 "H 53 "E 
 
 "C ccl 
 
 
 
 3 S3 
 
 3 03 
 
 
 
 q 
 
 <5 
 
 ^ 
 
 ^ 
 
 OQ 
 
 CO 
 
 X 
 
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 ^ 
 
 ^ 
 
 cc 
 
 CO 
 
 CO 
 
 CO < 
 
 cc 
 
 c. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 S 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 M.S. 
 
 31. S. 
 
 M.S 
 
 31. S. 
 
 31. S. 
 
 1 
 
 401 
 
 1354 
 
 1228 
 
 350 
 
 303 
 
 224 
 
 336 
 
 604 
 
 013 
 
 1027 
 
 1619 
 
 1039 
 
 2 
 
 429 
 
 1401 
 
 12 16 
 
 332 
 
 310 
 
 2 14 
 
 348 
 
 600 
 
 032 
 
 1046 
 
 1620 1016 
 
 3 
 
 456 
 
 1407 
 
 12 03 
 
 314 
 
 3 17 
 
 204 
 
 359 
 
 555 
 
 052 
 
 11 04 1620 952 
 
 4 
 
 524 
 
 14 13 
 
 11 50 
 
 257 
 
 323 
 
 ' 
 
 I 54 4 10 
 
 550 
 
 1 11 
 
 11 22 16 19 
 
 928 
 
 5 
 
 551 
 
 14 18 
 
 1136 
 
 239 
 
 328 
 
 144 
 
 420 
 
 544 
 
 131 
 
 11 40 
 
 1617 
 
 903 
 
 6 
 
 617 
 
 1422 
 
 11 22 
 
 222 
 
 3 33 
 
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 I 33 
 
 430 
 
 538 
 
 1 51 
 
 11 58 
 
 1614 
 
 838 
 
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 i 
 
 643 
 
 1425 
 
 11 08 
 
 205 
 
 337 
 
 1 22 
 
 440 
 
 531 
 
 212 
 
 1215 
 
 16 11 
 
 812 
 
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 709 
 
 1427 
 
 1053 
 
 J 
 
 1 48 
 
 341 
 
 ] 
 
 I 11 
 
 449 
 
 523 
 
 232 
 
 12 32 
 
 1607 
 
 745 
 
 9 
 
 733 
 
 1428 
 
 1037 
 
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 31 
 
 344 
 
 059 
 
 458 
 
 515 
 
 253 
 
 1248 
 
 1602 
 
 7 19 
 
 10 
 
 758 
 
 1429 
 
 1022 
 
 ] 
 
 [ 15 
 
 346 
 
 048 
 
 507 
 
 506 
 
 314 
 
 1304 
 
 1556 
 
 651 
 
 11 
 
 821 
 
 1429 
 
 1006 
 
 058 
 
 348 
 
 036 
 
 515 
 
 456 
 
 334 
 
 1319 
 
 1549 
 
 624 
 
 12 
 
 845 
 
 1428 
 
 949 
 
 042 
 
 350 
 
 024 
 
 522 
 
 446 
 
 356 
 
 1334 1541 
 
 555 
 
 13 
 
 907 
 
 1426 
 
 9:33 
 
 027 
 
 351 
 
 
 
 11 
 
 529 
 
 436 
 
 417 
 
 1348 
 
 15 33 
 
 527 
 
 14 
 
 929 
 
 1424 
 
 916 
 
 
 
 12 
 
 351 
 
 001 
 
 536 
 
 425 
 
 438 
 
 1402 
 
 15 23 
 
 458 
 
 15 
 
 950 
 
 1421 
 
 859 
 
 003 
 
 351 
 
 014 
 
 542 
 
 413 
 
 459 
 
 14 15 
 
 15 13 
 
 429 
 
 16 1010 
 
 1417 
 
 841 
 
 018 
 
 350 
 
 027 
 
 548 
 
 401 
 
 520 
 
 1428 
 
 1502 
 
 400 
 
 17 
 
 1030 
 
 14 12 
 
 823 
 
 032 
 
 349 
 
 039 
 
 553 
 
 348 
 
 541 
 
 1440 
 
 1450 
 
 330 
 
 18 
 
 1049 
 
 1407 
 
 806 
 
 046 
 
 347 
 
 052 
 
 558 
 
 335 
 
 603 
 
 1452 
 
 1437 
 
 301 
 
 19 
 
 11 07 
 
 1401 
 
 748 
 
 1 
 
 00 
 
 344 
 
 3 
 
 05 
 
 602 
 
 322 
 
 624 
 
 1502 
 
 1423 
 
 231 
 
 20 
 
 1124 
 
 1354 
 
 730 
 
 1 
 
 12 
 
 341 
 
 ] 
 
 .18 
 
 605 
 
 307 
 
 645 
 
 1512 
 
 1409 
 
 201 
 
 21 
 
 11 41 
 
 1347 
 
 712 
 
 ] 
 
 25 
 
 337 
 
 ] 
 
 131 
 
 608 
 
 253 
 
 706 
 
 1522 
 
 1354 
 
 1 31 
 
 22 
 
 11 57 
 
 13 39 
 
 653 
 
 I 
 
 37 
 
 333 
 
 ] 
 
 44 
 
 611 
 
 238 
 
 727 
 
 1531 
 
 13 38 
 
 1 01 
 
 23 
 
 1212 
 
 13 31 
 
 635 
 
 1 
 
 49 
 
 329 
 
 1 
 
 57 
 
 613 
 
 223 
 
 747 
 
 1539 1321 
 
 031 
 
 24 
 
 1227 
 
 1322 
 
 617 
 
 200 
 
 3 23 
 
 210 
 
 6 14 
 
 207 
 
 808 
 
 1546 
 
 1303 001 
 
 25 
 
 1240 
 
 13 12 
 
 558 
 
 210 
 
 317 
 
 223 
 
 6 15 
 
 1 51 
 
 828 
 
 1553 
 
 1245 
 
 029 
 
 26 
 
 1253 
 
 1302 
 
 540 
 
 221 
 
 3 11 
 
 2 36 6 15 
 
 1 34 
 
 849 
 
 1559 
 
 1225 
 
 059 
 
 27 
 
 1305 
 
 1251 
 
 521 
 
 230 
 
 304 
 
 2 48 i 6 15 
 
 1 17 
 
 909 
 
 1604 
 
 1205 
 
 1 29 
 
 28 
 
 1317 
 
 1240 
 
 506 
 
 239 
 
 257 
 
 3 00 6 14 
 
 1 00 
 
 929 
 
 1609 
 
 11 45 
 
 1 58 
 
 29 
 
 1327 
 
 1228 
 
 445 
 
 248 
 
 249 
 
 3 13 6 12 
 
 042 
 
 948 1612 11 24 
 
 228 
 
 3U 
 
 1337 
 
 
 426 
 
 256 
 
 241 
 
 3 25 6 10 
 
 024 
 
 1008 
 
 16 15 
 
 11 02 
 
 257 
 
 31 
 
 1346 
 
 
 408 
 
 
 
 233 
 
 
 
 607 
 
 005 
 
 
 1618 
 
 1039 
 
 325 
 
 175 
 
*s 
 
 nco^o 
 
 CCGO OSO 
 
 T"H 
 
 i 1 CO rj* iC 
 
 C03CC-.0 
 
 CO -* iC 
 
 0*7*0*0* 
 
 CO 00 OS O 
 O* O* O* CO 
 
 
 
 i OS 
 0* 
 
 rHOJ^O 
 
 r^ 
 
 TI O* CO iC 
 
 COi-OC OS 
 
 i O* co rf 
 
 0*0*0*0* 
 
 ic i- oo os 
 0*0*0*0* 
 
 
 
 i oo 
 
 n O* TJ< 1C 
 
 so 1*000* 
 
 n O* CO rf 
 
 1C CO 00 OS 
 
 o -tm 
 
 O* O* OJ O* 
 
 iC CO t- OO 
 
 o* o* o* o* 
 
 
 
 i t- 
 
 0* 
 
 .10JCOIC 
 
 ot-ooos 
 
 o i o? TT 
 
 1C CO 1- 00 
 
 OS O TI CO 
 n O* O* O* 
 
 * iC CO t- 
 OJ OJ O* O* 
 
 
 
 5 S 
 
 nOJCO"* 
 
 ic t- oo os 
 
 O i OJ CO 
 
 T ic co t- 
 
 ooo of 
 
 nO*O*O* 
 
 CO -^ 1C CO 
 O* O* OJ O* 
 
 
 
 a s 
 
 1-1 O* CO TP 
 
 * 
 
 OS O nCO 
 
 rt 1C CO t- 
 
 OCO5O ii 
 
 O* CO ^ 1C 
 
 0*0*0*0* 
 
 
 
 
 i Tt 
 
 o* 
 
 ~o*co^ 
 
 iCCOt-OO 
 
 OSOnO* 
 
 CO ^* iC *^ 
 
 1- 00' OS O 
 
 i OJCO T* 
 O* OJO* O* 
 
 
 
 
 i CO 
 OJ 
 
 nOJ COrJt 
 
 1C CO t- 00 
 
 OSO nOJ 
 
 OJ CO Tf 1C 
 
 COI-OOO5 
 
 O i O* CO 
 OJ OJ OJ OJ 
 
 
 
 
 o 
 
 nO*CO^ 
 
 OCOCOt- 
 
 OOCiOn 
 
 o*?o rf c 
 
 co t-<-oo 
 
 n OJ O* O* 
 
 
 
 
 0* 
 
 ~0*CO^ 
 
 t- 
 
 OOO5O l 
 
 n O* CO TP 
 
 1C CO J-OO 
 
 00 Oi O i 
 
 
 
 
 
 ; 8 
 
 ,10* CO CO 
 
 rf 1C CO I- 
 
 oooo oso 
 
 t 
 
 HO* CO CO 
 
 rr 10 co t- 
 
 aoccoio 
 
 
 
 
 -s 
 
 ^ojojco 
 
 TJ< 1C COCO 
 
 Tl 
 
 O nO* CO 
 
 eo rf ic co 
 
 - t-OO OS 
 
 
 
 
 ; oo 
 
 rHOJOJCO 
 
 ^.iCiOCO 
 
 i- oooo os 
 
 O nn O* 
 
 CO ** "* 1C 
 
 <ot-t-oo 
 
 
 
 
 ; i- 
 
 n n OICO 
 
 ^^ ^^ *o ?o 
 
 CO^OOOS 
 
 OS O n n 
 
 O? CO CO m 
 
 C CC CO t> 
 
 
 
 
 s CO 
 
 mi O* CO 
 
 CO Tf iC 1C 
 
 coc-t-co 
 
 OS OS O n 
 
 no* co co 
 
 TJ< iC 1C CO 
 
 
 
 
 5 S 
 
 n nO*CO 
 
 co^^ic 
 
 CO CO 1- 00 
 
 coos oso 
 
 n 11 O* CO 
 
 CO-* 1 TMC 
 
 
 
 *" 1 ( 
 
 r~ n O*O* 
 
 CO ^f* ^* *O 
 
 1C CO CO - 
 
 00 00 OS OS 
 
 n OJ 
 
 O* CO CO rf 
 
 
 
 ^ CO 
 *- -r-i 
 
 nn O* Ot 
 
 co co "^ ^* 
 
 ic iC' ;o i 
 
 i- oo oo os 
 
 OOO n 
 
 n OJ OJ CO 
 
 
 
 *- ii 
 
 ^,10*0* 
 
 co co ^^ ^* 
 
 1C 1C CD CO 
 
 t- t- 00 00 
 
 OS OS O O 
 
 nnO* O* 
 
 
 
 5 ~ 
 
 O n nOJ 
 
 ojcoco-* 
 
 TP 1C 1C CO 
 
 CO CO t- t- 
 
 00 OC OS OS 
 
 OOnn 
 11 n 11 T-* 
 
 -. o 
 
 0-^0* 
 
 o* co co co 
 
 ^^iCO 
 
 1C CO CO 1- 
 
 t-oooooo 
 
 OSO5OO 
 n 1-1 
 
 - 03 
 
 O TH i-^C^ 
 
 o* o* co co 
 
 CO ^T Tt iO 
 
 1C 1C O CO 
 
 CO i- t- 00 
 
 oooo os os 
 
 - 00 
 
 0--- 
 
 OJ OJO* CO 
 
 CO OO *^J* ^* 
 
 TT 1C 1C 1C 
 
 CO COCO <- 
 
 ot-oooo 
 
 i fr- 
 
 O n n il 
 
 nO*O*OJ 
 
 co co co f 
 
 ^.^rr^ 
 
 1C 1C CO '-O 
 
 <00 t -^ 
 
 ^co 
 
 Oil 1-1 i-l 
 
 .HO* 0*0* 
 
 OJ CO CO CO 
 
 CO "V* rj< 
 
 T}< 1C 1C 1C 
 
 1C 5O CO CO 
 
 5^ 
 
 OOHT-I 
 
 ^.H^O* 
 
 0*0*0* co 
 
 COCO CO CO 
 
 ^^ 
 
 Tf IClCiC 
 
 5^ 
 
 OO-rlT-l 
 
 T-ll 1 H H 
 
 0*0*0*0* 
 
 ojo* co co 
 
 COCO CO CO 
 
 Tr^^^ 
 
 5 CO 
 
 000^ 
 
 ^^^^ 
 
 ^~~0 
 
 0*0*0*0* 
 
 ojo* ojco 
 
 CO CO CO CO 
 
 i OJ 
 
 oooo 
 
 
 
 
 nO*O* O* 
 
 7iO?C7^ 
 
 
 
 
 ^ 1-1 
 
 oooo 
 
 oooo 
 
 
 
 
 
 
 
 
 
 anon 
 
 ~OJ^ 
 
 mot- oo 
 
 OSOnOJ 
 11 1 1 11 
 
 CO TT 1C CO 
 
 t-oocso 
 
 -lOICO Tf 
 
 0*0* 0*0* 
 
 
 
 176 
 
TABLE V. 
 
 SINES, TANGENTS, AND SECANTS. 
 
SINES. TANGENTS. AND SECANTS. 
 
 
 179= 
 
 M. 
 
 [our A. . 
 
 lour p. M. 
 
 Sine. 
 
 Diff. '. 
 
 Cosecant. 
 
 Tangent. 
 
 DiQ. i . 
 
 Cotangent. 
 
 Secant. 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 
 2 
 
 3 
 
 4 
 
 200 
 I 59 S 2 
 59 44 
 59 36 
 59 aS 
 
 O O O 
 
 o 8 
 o 16 
 o 24 
 
 o 32 
 
 nf. neg. 
 
 6.40373 
 76476 
 94085 
 7.06579 
 
 30103 
 17609 
 12494 
 9691 
 
 Infinite. 
 .3-53b27 
 23524 
 05915 
 [2.93421 
 
 Inf. neg. 
 
 6.46373 
 76476 
 94085 
 7- 6579 
 
 30103 
 17609 
 12494 
 9691 
 
 Infinite. 
 3- 53627 
 235=4 
 05915 
 2.93421 
 
 0. OOOOO 
 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 
 o. ooooo 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 
 60 
 
 59 
 
 58 
 57 
 
 56 
 
 8 
 9 
 
 I 59 20 
 59 12 
 
 59 4 
 58 56 
 
 58 4 S 
 
 o o 40 
 
 48 
 
 o 56 
 4 
 
 12 
 
 7. 16270 
 24188 
 - ggj 
 
 36682 
 4'797 
 
 7918 
 6694 
 5800 
 
 5"5 
 
 4576 
 
 12.83730 
 75812 
 69118 
 63318 
 58203 
 
 7. 16270 
 24188 
 v H ^ 
 36682 
 
 41797 
 
 7918 
 6694 
 5800 
 
 5 "! 
 4576 
 
 2.83730 
 75812 
 ' jn8 
 63318 
 
 5 $20 3 
 
 c . c : : ~-j 
 ooooo 
 ooooo' 
 ooooo 
 ooooo 
 
 o. ooooo 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 
 53 
 
 54 
 
 53 
 52 
 51 
 
 10 
 
 II 
 
 12 
 
 '3 
 H 
 
 I 58 40 
 
 58 32 
 58 24 
 58 16 
 58 8 
 
 20 
 28 
 
 36 
 
 44 
 
 52 
 
 7-46373 
 50512 
 
 54291 
 
 577 6 7 
 60985 
 
 4i39 
 3779 
 347o 
 3218 
 2997 
 
 12.53027 
 49488 
 
 4579 
 42233 
 39 '5 
 
 7-46373 
 50512 
 54291 
 
 57/67 
 60986 
 
 4139 
 
 3779- 
 3476 
 
 3219 
 2996 
 
 2. SS 6 ^? 
 49488 
 
 4579 
 42233 
 
 39 1 4 
 
 o. ooooo 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 
 o. ooooo 
 ooooo 
 ooooo 
 ooooo 
 
 DC 3OO 
 
 5" 
 
 49 
 48 
 47 
 46 
 
 '5 
 16 
 
 17 
 
 iS 
 19 
 
 I 58 o 
 57 52 
 57 44 
 57 36 
 
 57 28 
 
 020 
 
 2 8 
 
 2 16 
 
 2 24 
 2 32 
 
 7. 63982 
 66784 
 69417 
 71900 
 
 74248 
 
 2802 
 2633 
 2483 
 234* 
 2227 
 
 12. 36018 
 33216 
 
 35 S 3 
 28100 
 
 25752 
 
 7- 63982 
 66785 
 69418 
 71900 
 74248 
 
 2803 
 2633 
 2482 
 2348 
 2228 
 
 2. 36018 
 
 33215 
 30582 
 28100 
 
 25752 
 
 IO. ooooo 
 ooooo 
 
 00001 
 OOOOI 
 OOOOI 
 
 o. ooooo 
 ooooo 
 9-99999 
 
 99999 
 99999_ 
 
 45 
 44 
 43 
 
 I 
 
 20 
 
 21 
 22 
 23 
 
 24 
 
 ii 57 20 
 57 >2 
 57 4 
 
 5 ^ 5 
 56 4 S 
 
 2 40 
 2 48 
 2 56 
 
 3 4 
 
 3 '2 
 
 7- 76475 
 78594 
 80615 
 82545 
 84393 
 
 2119 
 
 2021 
 
 1930 
 1848 
 
 1773 
 
 12.23525 
 21406 
 I93 S 5 
 1/455 
 15607 
 
 7- 764/6 
 
 "8595 
 80615 
 82546 
 S 4394 
 
 2119 
 
 2O2O 
 
 1931 
 1848 
 
 773 
 
 2.23524 
 21405 
 
 '93 8 5 
 17454 
 15606 
 
 IO. OOOOI 
 OOOOI 
 OOOOI 
 OOOOI 
 
 OOOOI 
 
 9.99999 
 99999 
 
 99999 
 99999 
 
 99999 
 
 40 
 
 P 
 \ 
 
 25 
 20 
 
 27 
 
 28 
 
 29 
 
 ii 56 40 
 
 S 6 , 32 
 56 24 
 
 56 r6 
 
 56 8 
 
 o 3 20 
 
 3 1 
 
 3 36 
 3 44 
 3 52 
 
 7.86166 
 87870 
 89509 
 o^oSS 
 52612 
 
 1704 
 
 ' 6 39 
 
 1579 
 1524 
 1472 
 
 2- 13834 
 
 12130 
 
 10491 
 
 08012 
 
 07325 
 
 -. 86167 
 87871 
 89510 
 91089 
 92613 
 
 1704 
 1639 
 
 '579 
 
 1524 
 
 H73 
 
 2. I3S33 
 12129 
 10490 
 08911 
 
 0/3S7 
 
 10. OOOOI 
 OOOOI 
 OOOOI 
 OOOOI 
 O0002 
 
 9.99999 
 999 , 
 99999 
 99999 
 9999 s 
 
 35 
 34 
 33 
 
 32 
 3 1 
 
 3 
 3' 
 3 2 ' 
 33 
 S4 
 
 ii s6 o 
 
 55 52 
 55 44 
 55 3 6 
 
 55 28 
 
 040 
 4 8 
 4 16 
 4 24 
 4 S 2 
 
 7- 94084 
 95508 
 96887 
 98223 
 99520 
 
 1424 
 1379 
 1336 
 1297 
 1259 
 
 12.05916 
 
 04492 
 
 03113 
 01777 
 
 00480 
 
 7.94086 
 95510 
 96889 
 98225 
 99522 
 
 1424 
 1379 
 1336 
 1297 
 1259 
 
 12.05914 
 04490 
 03III 
 
 01775 
 00478 
 
 IO. OOO02 
 OOOO2 
 oAo02 
 O0002 
 00002 
 
 9- 99993 
 99998 
 
 9999 s 
 99993 
 
 9999 s 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 36 
 
 P 
 
 39 
 
 ii 55 20 
 55 12 
 55 4 
 54 56 
 
 54 4 
 
 o 4 40 
 448 
 4 56 
 
 5 4 
 
 5 I2 
 
 8.00779 
 
 O2OO2 
 03192 
 
 435 
 05478 
 
 I22 3 
 II9O 
 II5S 
 1128 
 IIOO 
 
 11.99221 
 
 97998 
 96808 
 95650 
 
 94522 
 
 8. oo-Si 
 02004 
 03194 
 
 4353 
 
 05481 
 
 1223 
 1190 
 1159 
 1128 
 
 IIOO 
 
 11.99219 
 97996 
 96806 
 
 95647 
 94519 
 
 IO. OOOO2 
 OOOO2 
 
 00003 
 00003 
 
 00003 
 
 9. 9999^ 
 9999 s 
 99997 
 99S97 
 99997 
 
 25 
 24 
 23 
 
 22 
 21 
 
 4 
 4' 
 42 
 
 43 
 44 
 
 II 54 40 
 54 32 
 54 24 
 54 16 
 54 8 
 
 o 5 20 
 
 S2 ? 
 
 5 36 
 
 5 44 
 
 5 S 2 
 
 S. 065 78 
 07650 
 08696 
 09718 
 
 10717 
 
 1072 
 1046 
 
 IO22 
 
 999 
 976 
 
 11.93422 
 9235 
 
 9 I 34 
 90282 
 89283 
 
 8. 06501 
 
 07653 
 
 c ? 7 . . 
 09722 
 10720 
 
 1072 
 1047 
 
 1022 
 998 
 976 
 
 H-934'9 
 92347 
 93P 
 90278 
 89280 
 
 10. 00003 
 00003 
 00003 
 00003 
 00004 
 
 9- 99997 
 99997 
 99997 
 99997 
 99996 
 
 20 
 19 
 
 18 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 4 S 
 
 49 
 
 II 54 o 
 53 52 
 53 44 
 53 3 6 
 53 28 
 
 060 
 6 8 
 6 16 
 6 24 
 
 6 32 
 
 8. 11693 
 12647 
 I358i 
 14495 
 I539I 
 
 954 
 934 
 9H 
 896 
 
 877 
 
 ii. 08307 
 
 87353 
 86419 
 
 85505 
 
 84609 
 
 8. 11696 
 12651 
 
 13585 
 14500 
 
 '5395 
 
 955 
 934 
 95 
 895 
 878 
 
 II. 88304 
 
 87349 
 86415 
 85500 
 84605 
 
 10.00004 
 00004 
 00004 
 00004 
 00004 
 
 9.99996 
 99996 
 99996 
 99996 
 90996 
 
 '5 
 M 
 13 
 
 12 
 II 
 
 5 
 M 
 52 
 53 
 54 
 
 ii 53 20 
 53 " 
 
 53 i 
 
 52 56 
 
 S 2 48 
 
 o 6 40 
 648 
 6 56 
 7 4 
 7 12 
 
 S. 16268 
 17128 
 
 1/971 
 18798 
 19610 
 
 860 
 
 843 
 827 
 
 Sl2 
 
 797 
 
 11.83732 
 82872 
 82029 
 81202 
 80390 
 
 8. 16273 
 
 I7I33 
 17976 
 18804 
 
 19616 
 
 S6o 
 
 843 
 828 
 812 
 
 797 
 
 11.83727 
 82867 
 &202J 
 81196 
 80384 
 
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 55 
 5 6 
 57 
 5 
 59 
 60 
 
 ii 52 40 
 52 S 2 
 52 24 
 52 16 
 52 8 
 52 o 
 
 7 20 
 
 728 
 7 36 
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 8. 20407 
 21189 
 21958 
 2-713 
 23456 
 24186 
 
 702 
 769 
 755 
 743 
 73 
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 78811 
 78042 
 77287 
 
 76544 
 
 75814 
 
 8.20413 
 21195 
 21964 
 22720 
 23462 
 24192 
 
 782 
 769 
 750 
 742 
 730 
 718 
 
 II.795S7 
 78805 
 78036 
 77280 
 
 76538 
 75808 
 
 10.00006 
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 9-99994 
 99994 
 99994 
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 99994 
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 4 
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 M. 
 
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 178 
 
SINES, TANGENTS, AND SECANTS. 
 1 ITS 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
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 Cosecant. 
 
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 I 
 
 2 
 
 3 
 
 4 
 
 II 52 
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 5 1 44 
 5' 3 6 
 
 51 28 
 
 080 
 
 8 .8 
 
 8 16 
 8 24 
 832 
 
 8.24186 
 
 2493 
 25609 
 26304 
 26^88 
 
 7 1I 
 706 
 
 695 
 684 
 
 673 
 
 11.75814 
 7597 
 74391 
 73696 
 73012 
 
 8. 24191 
 24910 
 25616 
 26312 
 
 26996 
 
 718 
 706 
 696 
 684 
 673 
 
 II.7S8oS 
 75090 
 
 74384 
 73688 
 
 73004 
 
 10. 00007 
 00007 
 00007 
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 9-99993 
 97993 
 99993 
 99993 
 99992 
 
 ' 
 59 
 5* 
 57 
 56 
 
 6 
 
 8 
 9 
 
 II 51 20 
 51 12 
 
 51 1 
 
 50 56 
 
 50 48 
 
 o 8 40 
 8 48 
 8 56 
 
 9 4 
 9 12 
 
 8.27661 
 28324 
 28977 
 29621 
 
 3 255 
 
 663 
 653 
 644 
 634 
 624 
 
 11.72339 
 71676 
 71023 
 70379 
 69745 
 
 8. 2-669 
 
 28332 
 28986 
 29629 
 30263 
 
 663 
 654 
 643 
 634 
 625 
 
 H. 7233 1 
 
 71668 
 71014 
 70371 
 
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 IO. 00008 
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 00008 
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 9- 99992 
 99992 
 99992 
 
 99992 
 99991 
 
 55 
 54 
 53 
 
 5- 
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 10 
 
 ii 
 
 12 
 
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 14 
 
 11 50 40 
 
 5 32 
 50 24 
 50 16 
 50 8 
 
 o 9 20 
 9 2& 
 9 3 6 
 9 44 
 9 5 2 
 
 8. 30879 
 3 '495 
 32103 
 
 32702 
 
 33-92 
 
 616 
 608 
 
 599 
 590 
 
 533 
 
 11.69121 
 68505 
 
 67897 
 67298 
 66708 
 
 8.30888 
 
 3 '55 
 32112 
 32711 
 33302 
 
 617 
 607 
 599 
 59i 
 584 
 
 11.69112 
 
 68495 
 67888 
 67289 
 66698 
 
 10. 00009 
 00009 
 
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 9- 99991 
 99991 
 
 99990 
 99990 
 
 2222; 
 
 5 
 
 49 
 4* 
 47 
 46 
 
 15 
 1 6 
 
 17 
 18 
 
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 II 50 o 
 49 52 
 49 44 
 49 36 
 49 28 
 
 IO O 
 
 10 8 
 10 16 
 10 24 
 10 32 
 
 8.33875 
 34-150 
 35018 
 35578 
 3613' 
 
 III 
 560 
 
 553 
 .547 
 
 11.66125 
 
 65550 
 64982 
 64422 
 63869 
 
 8. 33886 
 34461 
 35029 
 35590 
 36143 
 
 575 
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 561 
 
 553 
 546 
 
 11.66114 
 
 65539 
 64971 
 64410 
 63857 
 
 10. OOOIO 
 
 oooil 
 
 OOOII 
 OOOII 
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 \- ' 
 99989 
 99989 
 
 99989 
 99989 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 
 21 
 
 22 
 23 
 
 24 
 
 II 49 20 
 49 '2 
 
 49 4 
 48 56 
 
 48 48 
 
 o 10 40 
 10 48 
 10 56 
 ii 4 
 
 II 12 
 
 8. 36678 
 37217 
 37750 
 38276 
 
 38796 
 
 539 
 533 
 526 
 520 
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 11.63322 
 
 62783 
 62250 
 61724 
 
 61204 
 
 8. 36689 
 37229 
 37762 
 38289 
 
 38809 
 
 540 
 533 
 5*7 
 520 
 
 5'4 
 
 11.63341 
 62771 
 62238 
 61711 
 61191 
 
 IO. OOOI2 
 OOOI2 
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 00013 
 
 00013 
 
 9- 99988 
 99088 
 99988 
 99987 
 99987 
 
 40 
 39 
 38 
 
 11 
 
 25 
 26 
 27 
 28 
 29 
 
 ii 48 40 
 
 48 32 
 48 24 
 48 16 
 48 8 
 
 II 20 
 II 28 
 II 36 
 
 ii 44 
 n 52 
 
 8- 393' 
 39818 
 40320 
 40816 
 41307 
 
 508 
 502 
 196 
 
 KM 
 
 485 
 
 11.60690 
 60182 
 59680 
 59184 
 58693 
 
 8- 393 2 3 
 39832 
 40334 
 40830 
 
 41321 
 
 509 
 502 
 496 
 491 
 486 
 
 11.60677 
 60168 
 59666 
 
 5917 
 58679 
 
 10. 00013 
 00014 
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 9. 99987 
 99986 
 99986 
 99986 
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 35 
 
 34 
 33 
 32 
 31 
 
 3 
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 32 
 33 
 
 34 
 
 II 48 o 
 47 5 2 
 47 44 
 47 36 
 47 28 
 
 O 12 
 12 8 
 12 16 
 12 24 
 12 32 
 
 8.41792 
 42272 
 42746 
 43216 
 
 43680 
 
 480 
 
 474 
 470 
 464 
 459 
 
 n. 5^208 
 57728 
 5/254 
 56/84 
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 8.41807 
 42287 
 42762 
 
 43232 
 43696 
 
 480 
 
 475 
 470 
 464 
 460 
 
 11.58193 
 
 57713 
 57238 
 56768 
 56304 
 
 10. 00015 
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 9.99985 
 99985 
 99934 
 99984 
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 3 
 29 
 28 
 
 11 
 
 35 
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 9 
 
 39 
 
 H 47 20 
 47 12 
 47 4 
 46 56 
 46 48 
 
 12 40 
 12 48 
 12 56 
 
 13 4 
 13 12 
 
 8.44139 
 
 44594 
 45044 
 
 45489 
 4593 
 
 455 
 450 
 
 445 
 441 
 
 436 
 
 11.55861 
 55406 
 54956 
 545" 
 
 54070 
 
 8.44156" 
 44611. 
 45061 
 45507 
 
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 455 
 450 
 446 
 441 
 
 437 
 
 11.55844 
 55389 
 
 54939 
 54493 
 54052 
 
 10. 00017 
 00017 
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 9- 999 S 3 
 99983 
 
 999S3 
 99982 
 99982 
 
 25 
 24 
 
 23 
 
 22 
 21 
 
 40 
 
 4' 
 42 
 43 
 
 44 
 
 ii 46 40 
 46 32 
 46 24 
 
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 a 13 20 
 13 28 
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 13 44 
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 8. 46366 
 46799 
 47226 
 47650 
 
 433 
 427 
 424 
 419 
 
 416 
 
 H-S3 6 34 
 53201 
 
 52774 
 5?35o 
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 8. 46385 
 46817 
 
 47245 
 47669 
 48089 
 
 432 
 428 
 424 
 420 
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 53 '3 
 52755 
 52331 
 51911 
 
 10. 00018 
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 99981 
 
 99901 
 99981 
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 IO 
 19 
 
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 17 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
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 45 52 
 45 44 
 45 36 
 45 28 
 
 o 14 o 
 14 8 
 14 16 
 14 24 
 14 32 
 
 8. 48485" 
 48896 
 
 4934 
 49708 
 50108 
 
 411 
 
 408 
 404 
 400 
 396 
 
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 51104 
 50696 
 50292 
 49892 
 
 8. 48505 
 48917 
 49325 
 49/29 
 50139 
 
 412 
 
 408 
 
 404 
 401 
 
 397 
 
 11.51495 
 51083 
 
 5 675 
 50271 
 49870 
 
 IO. COD2O 
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 9.99980 
 99979 
 99979 
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 14 
 13 
 
 12 
 11 
 
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 51 
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 53 
 
 54 
 
 ii 45 20 
 45 12 
 45 4 
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 14 48 
 14 56 
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 8. 554 
 50897 
 51287 
 51673 
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 393 
 
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 370 
 
 11.49496 
 49103 
 48713 
 48327 
 47945 
 
 8. 50527 
 50920 
 5'3io 
 51696 
 52079 
 
 393 
 39o 
 386 
 
 3 ! 3 
 380 
 
 H-49473 
 49080 
 48690 
 48304 
 47921 
 
 IO. OOO22 
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 OO023 
 OO023 
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 9- 99978 
 99977 
 99977 
 99977 
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 ] : 
 6 
 
 55 
 
 5 
 
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 59 
 60 
 
 II 44 40 
 
 44 32 
 44 24 
 
 44 16 
 44 8 
 44 o 
 
 15 20 
 15 28 
 15 36 
 
 15 44 
 15 52 
 16 o 
 
 8. 52434 
 52810 
 
 53183 
 53552 
 539'9 
 54282 
 
 375~ 
 373 
 369 
 367 
 363 
 360 
 
 11.47566 
 47190 
 46817 
 46448 
 46081 
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 8. 52459 
 
 52835 
 53208 
 
 53573 
 53945 
 543 8 
 
 376 
 
 373 
 370 
 367 
 
 3 < 3 
 361 
 
 .4754 
 47165 
 46792 
 46422 
 
 46055 
 45692 
 
 10. 00024 
 
 00025 
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 00026 
 00026 
 
 9- 99976 
 99975 
 99975 
 99974 
 99974 
 99974 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour P. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. i'. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. i'. 
 
 Tangent. 
 
 Cosecant 
 
 Sine. 
 
 M. 
 
 91 
 
 
 88 
 
 179 
 
s 
 
 SINES, TANGENTS, AND SECANTS. 
 
 177 
 
 M. 
 
 Hoia 1 A. M. 
 
 Hour P.*I. 
 
 Sine. 
 
 Di i'. 
 
 Cosecant. 
 
 Tangent 
 
 Diff. i'. 
 
 Cotangent. 
 
 Secant 
 
 Cosine 
 
 M. 
 
 
 
 i 
 
 2 
 
 3 
 4 
 
 II 44 o 
 
 43 52 
 43 44 
 43 36 
 43 23 
 
 O 10 O' 
 
 16 8 
 16 16 
 16 24 
 
 16 32 
 
 8. 54282 
 54642 
 54999 
 55354 
 55705 
 
 360 
 357 
 355 
 35' 
 
 349 
 
 11.45718 
 45358 
 45001 
 44646 
 
 44295 
 
 8. 54308 
 54669 
 
 55027 
 55382 
 55734 
 
 36, 
 358 
 
 355 
 352 
 349 
 
 1 1. 45692 
 4533' 
 44973 
 44610 
 44266 
 
 lo. 00026 
 00027 
 00027 
 00028 
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 9 09974 
 99973 
 99973 
 99972 
 99972 
 
 60 
 
 52 
 5 
 
 57 
 S6 
 
 1 
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 9 
 
 ii 43 20 
 43 12 
 43 4 
 42 56 
 
 42 48 
 
 o 16 40 
 16 48 
 16 56 
 17 4 
 
 17 12 
 
 8. 56054 
 56400 
 
 56743 
 57084 
 
 57421 
 
 346 
 343 
 341 
 337 
 336 
 
 11.43946 
 
 43600 
 
 43257 
 42916 
 
 42579 
 
 8. 56083 
 56429 
 56773 
 57"4 
 57452 
 
 346 
 344 
 341 
 338 
 3^6 
 
 11.43917 
 
 43571 
 43227 
 42885 
 42548 
 
 10. 00029 
 00029 
 00030 
 00030 
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 9.99971 
 
 99971 
 99970 
 99970 
 
 99969 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 ii 
 
 12 
 13 
 
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 ii 42 40 
 
 42 S 3 
 42 24 
 
 42 1 6 
 42 8 
 
 17 20' 
 17 28 
 1736 
 
 17 44 
 17 52 
 
 8-57757 
 58089 
 
 5 8 4i9 
 58747 
 59072 
 
 332 
 330 
 328 
 325 
 323 
 
 11.42243 
 41911 
 4I58I 
 41253 
 40928 
 
 8.57788 
 58121 
 
 58451 
 58779 
 59>o5 
 
 333 
 33 
 328 
 326 
 323 
 
 11.45212 
 41879 
 
 41549 
 41221 
 40895 
 
 10. 00031 
 
 00032 
 
 00032 
 
 00033 
 
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 9. 99969 
 99968 
 99968 
 
 99967 
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 So 
 49 
 48 
 47 
 46 
 
 15 
 16 
 
 17 
 18 
 
 19 
 
 ii 42 o 
 
 41 52 
 41 44 
 
 41 3 6 
 41 28 
 
 o 18 o 
 18 8 
 i3 16 
 18 24 
 18 32 
 
 8. 59395 
 59715 
 60033 
 60349 
 60662 
 
 320 
 318 
 316 
 313. 
 3" 
 
 11.40605 
 40285 
 39967 
 39651 
 39338 
 
 8. 594=8 
 
 59749 
 60068 
 60384 
 60698 
 
 321 
 3'9 
 316 
 
 3H 
 3" 
 
 11.40572 
 40251 
 
 39932 
 39616 
 
 39302 
 
 10. 00033 
 00034 
 00034 
 00035 
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 9. 99967 
 99966 
 99966 
 99965 
 99964 
 
 45 
 44 
 43 
 42 
 
 41 
 
 20 
 21 
 22 
 
 =3 
 
 =4 
 
 II 4! 20 
 41 12 
 
 41 4 
 40 56 
 40 48 
 
 o 18 40 
 J8 48 
 18 56 
 19 4 
 
 19 12 
 
 8. 60973 
 61282 
 61589 
 6.1894 
 62196 
 
 39 
 307 
 3=5 
 302 
 301 
 
 11.39027 
 38718 
 
 334" 
 38106 
 37804 
 
 8. 61009 
 61319 
 61626 
 61931 
 
 62234 
 
 310 
 307 
 303 
 33 
 301 
 
 11.38991 
 78681 
 
 28374 
 
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 37766 
 
 10.00036 
 00037 
 00037 
 00038 
 00038 
 
 9. 99964 
 
 99963 
 99963 
 99962 
 99962 
 
 40 
 
 ? 
 
 11 
 
 -5 
 
 CO 
 
 ?3 7 
 
 29 
 
 ii 40 40 
 40 32 
 40 24 
 40 16 
 40 8 
 
 19 
 IJ 23 
 
 19 3 s 
 19 44 
 19-52 
 
 8. 62497 
 62705 
 63091 
 63385 
 63678 
 
 298 
 296 
 294 
 
 293 
 290 
 
 "3753 
 37205 
 36909 
 36615 
 36322 
 
 8.62535 
 62834 
 
 * 3 ' 3 I 
 63426 
 
 63718 
 
 299 
 237 
 295 
 292 
 291 
 
 11.37465 
 37166 
 36869 
 
 36574 
 
 .36=82 
 
 10. 00039 
 00039 
 00040 
 00040 
 00041 
 
 9- 9996i 
 99961 
 99960 
 99960 
 99959 
 
 35 
 34 
 33 
 32 
 3i 
 
 30 
 31 
 32 
 33 
 
 34 
 
 n 40 o 
 
 39 5 2 
 39 44 
 33 36 
 39 28 
 
 O 20 
 20 8 
 
 20 16 
 
 20 24 
 
 20 32 
 
 8. 63968 
 
 64256 
 
 64543 
 64827 
 65110 
 
 288 
 287 
 284 
 283 
 281 
 
 21.36032 
 
 35744 
 35457 
 35 '73 
 34890 
 
 8. 64009 
 64298 
 
 64585 
 64870 
 
 fcS'St 
 
 2Sg 
 287 
 285 
 284 
 281 
 
 1 1- 3599' 
 35702 
 
 35415 
 35130 
 34846 
 
 10. 00041 
 00042 
 00042 
 
 00043 
 
 00044 
 
 9- 99959 
 99958 
 99958 
 
 99957 
 99956- 
 
 3 
 2 9 
 28 
 
 27 
 26 
 
 35 
 3 
 
 % 
 X* 
 
 39 
 
 ;i 39 20 
 39 12 
 39 4 
 38 56 
 3848 
 
 o 20 40 
 
 20 4" 
 20 56 
 21 4 
 21 12 
 
 8. 65391 
 65670 
 
 65947 
 66223 
 
 66497 
 
 279 
 277 
 276 
 274 
 272 
 
 11.34609 
 3433 
 34053 
 33777 
 3353 
 
 8. 65435 
 65715 
 65993 
 66269 
 
 66543 
 
 280 
 278 
 276 
 274 
 273 
 
 "34565 
 34285 
 34007 
 3373' 
 33457 
 
 10. 00044 
 00045 
 00045 
 00046 
 00046 
 
 9. 99956 
 99955 
 99955 
 99954 
 99954 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 
 4' 
 42 
 
 43 
 44 
 
 ii 38 40 
 38 32 
 38 24 
 38 1 5 
 38 8 
 
 O 21 2O 
 21 28 
 21 S 6 
 21 44 
 
 21 52 
 
 8. 66769 
 67039 
 67308 
 
 67575 
 67841 
 
 270 
 269 
 267 
 266 
 263 
 
 "33231 
 32961 
 32692 
 32425 
 32159 
 
 8.66816 
 67087 
 
 6 SI S6 
 67624 
 
 67890 
 
 2 r 
 269 
 
 268 
 266 
 264 
 
 11.33184 
 
 32913 
 32644 
 32376 
 32110 
 
 10. 00047 
 00048 
 00048 
 
 00049 
 
 00049 
 
 9- 90953 
 99952 
 99952 
 99951 
 99951 
 
 2O 
 19 
 
 18 
 
 17 
 16 
 
 4 I 
 46 
 
 47 
 48 
 
 49 
 
 ii 38 o 
 
 37 52 
 37 44 
 37 36 
 37 28 
 
 22 
 22 8 
 22 l6 
 22 24 
 22 32 
 
 8.68104 
 68367 
 68627 
 68886 
 69144 
 
 263 
 260 
 259 
 258 
 256 
 
 11.31896 
 31633 
 3'373 
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 30856 
 
 8.68154 
 68417 
 68673 
 68938 
 69196 
 
 263 
 261 
 260 
 258 
 257 
 
 11.31846 
 31583 
 31322 
 31062 
 30804 
 
 lo. 00050 
 00051 
 00051 
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 9- 9995 s 
 99949 
 99949 
 99948 
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 IS 
 14 
 13 
 
 12 
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 50 
 5' 
 52 
 53 
 54 
 
 n 37 23 
 37 12 
 
 3 l i 
 & 56 
 36 48 
 
 O 22 40 
 
 22 48 
 22 56 
 
 23 4 
 
 23 12 
 
 8. 69400 
 69654 
 69907 
 
 7 I59 
 70409 
 
 254 
 253 
 252 
 250 
 249 
 
 ii. 30600 
 30346 
 
 3 00 93 
 29841 
 29591 
 
 8. 69453 
 69708 
 69962 
 70214 
 70465 
 
 255 
 254 
 252 
 251 
 249 
 
 n. 3547 
 
 30292 
 30038 
 29786 
 29535 
 
 10. 00053 
 00054 
 00054 
 00055 
 
 00056 
 
 9. 99947 
 99946 
 99946 
 99945 
 99944 
 
 10 
 
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 8 
 
 6 
 
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 n 36 40 
 36 32 
 
 36 24 
 
 36 16 
 36 8 
 36 o 
 
 23 20 
 23 28 
 23 36 
 
 23 44 
 23 52 
 24 o 
 
 8. 70658 
 70905 
 71151 
 
 71395 
 71638 
 
 71880 
 
 247 
 246 
 244 
 
 243 
 242 
 240 
 
 11.29342 
 29095 
 28849 
 28605 
 28362 
 28120 
 
 8. 70714 
 70962 
 71208 
 
 71453 
 71697 
 71940 
 
 248 
 246 
 
 245 
 
 244 
 243 
 241 
 
 n. 29286 
 29038 
 28792 
 
 28547 
 28303 
 28060 
 
 10. 00056 
 00057 
 00058 
 00058 
 00059 
 00060 
 
 9. 99944 
 99943" 
 99942 
 99942 
 99941 
 99940 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A. u. 
 
 Cosine. 
 
 Diff. i'. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. i'. 
 
 Tangent. 
 
 Cosecant. 
 
 Sine. 
 
 M. 
 
 92 81 
 
 180 
 
SINES, TANGENTS, AND SECANTS. 
 3 110 
 
 11. 
 
 Hour A. H. 
 
 Hour P.M. 
 
 Sine. 
 
 Diff. i'. 
 
 Cosecant. 
 
 Tangent. 
 
 Did. i'. 
 
 Cotangent. 
 
 Secan'. 
 
 Cosine. 
 
 M. 
 
 o 
 
 i 
 
 2 
 
 3 
 
 4 
 
 II 36 
 
 35 5 2 
 35 44 
 35 3 6 
 35 =8 
 
 o 24 o 
 24 8 
 24 16 
 24 24 
 
 24 ! 
 
 8. 71880 
 721:0 
 72359 
 72S97 
 7^34 
 
 240 
 239 
 23 
 
 237 
 235 
 
 II. 281:0 
 27SSO 
 27641 
 
 2/403 
 27166 
 
 8. 71940 
 
 72l8l 
 72420 
 7:659 
 7:896 
 
 241 
 2-39 
 239 
 237 
 
 236 
 
 1 1. 28060 
 27819 
 
 27580 
 
 27341 
 
 27104 
 
 IO. 00060 
 00060 
 00061 
 00062 
 00062 
 
 9- 90940 
 99940 
 90939 
 9993 s 
 99938 
 
 60 
 59 
 
 5 
 57 
 56 
 
 I 
 
 8 
 9 
 
 11 35 20 
 35 2 
 35 4 
 34 5 6 
 34 48 
 
 o 24 4 > 
 
 24 48 
 24 56 
 
 25 4 
 25 12 
 
 8. 73069 
 
 7333 
 73535 
 
 73 T" 7 
 73997 
 
 2 34 
 232 
 232 
 230 
 
 229 
 
 11.26931 
 26697 
 26465 
 26233 
 26003 
 
 8- 73 '32 
 7336 
 73600 
 
 73832 
 74063 
 
 234 
 234 
 232 
 
 23" 
 2:9 
 
 1 1 . 26868 
 26634 
 26400 
 26168 
 2 5937 
 
 10. 00063 
 00064 
 00064 
 00065 
 00066 
 
 9- 99937 
 99936 
 
 9993 6 
 99935 
 99934 
 
 55 
 54 
 53 
 52 
 SJ 
 
 10 
 
 ii 
 
 12 
 13 
 
 '4 
 
 II 34 40 
 34 32 
 34 24 
 34 16 
 34 8 
 
 o 25 20 
 
 25 2S 
 
 25 3 6 
 25 44 
 25 52 
 
 8. 74226 
 
 74454 
 74680 
 74906 
 75 '30 
 
 228 
 226 
 226 
 224 
 223 
 
 11.25774 
 25546 
 25320 
 25094 
 24870 
 
 8. 74:92 
 745 =! 
 74748 
 74974 
 75'99 
 
 229 
 227 
 226 
 225 
 
 224 
 
 II. 25708 
 
 25479 
 25252 
 250:6 
 2480! 
 
 10. 00066 
 00067 
 00068 
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 49 
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 47 
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 33 52 
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 26 8 
 26 16 
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 26 32 
 
 8- 75353 
 
 75575 
 75795 
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 222 
 220 
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 219 
 217 
 
 II. 24647 
 24425 
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 23985 
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 8- 75423 
 
 75 6 45 
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 76087 
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 222 
 222 
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 11.24577 
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 10. 00070 
 00071 
 00071 
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 45 
 44 
 43 
 42 
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 20 
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 22 
 
 23 
 
 24 
 
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 33 '2 
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 32 5 6 
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 26 48 
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 27 12 
 
 8. 76451 
 76667 
 76883 
 7797 
 773 10 
 
 216 
 216 
 
 214 
 213 
 
 212 
 
 11.23549 
 
 23333 
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 22690 
 
 8. 76525 
 76742 
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 77'73 
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 217 
 
 216 
 
 215 
 214 
 213 
 
 11.23475 
 
 23258 
 23042 
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 10. 00074 
 
 00074 
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 9- 999^6 
 99926 
 99925 
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 40 
 39 
 38 
 37 
 36 
 
 25 
 26 
 
 27 
 28 
 29 
 
 ii 32 40 
 
 32 32 
 32 24 
 32 16 
 32 8 
 
 o 27 20 
 
 27 28 
 27 36 
 
 27 44 
 27 52 
 
 8. 77522 
 77733 
 77943 
 78152 
 78360 
 
 211 
 210 
 
 20 9 
 208 
 
 208 
 
 11.22478 
 22267 
 22057 
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 21640 
 
 8. 77600 
 77811 
 78022 
 78232 
 78441 
 
 211 
 211 
 2IO 
 209 
 
 20S 
 
 ii. 22400 
 22189 
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 21768 
 
 21559 
 
 10. 00077 
 00078 
 
 00079 
 
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 9. 999:3 
 99922 
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 35 
 34 
 33 
 32 
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 3 
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 32 
 33 
 
 34 
 
 ii 32 o 
 3' 52 
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 3' 3 6 
 31 28 
 
 o 28 o 
 28 8 
 28 16 
 28 24 
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 8. 78568 
 
 78774 
 78979 
 79i8 3 
 793 86 
 
 206 
 205 
 204 
 203 
 202 
 
 11.21432 
 21226 
 2I02I 
 20817 
 20614 
 
 8. 78649 
 78855 
 79061 
 79266 
 7947 
 
 206 
 206 
 205 
 204 
 203 
 
 ii. 21351 
 21145 
 20939 
 20734 
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 10. 00081 
 00082 
 00083 
 00083 
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 9.99919 
 99918 
 
 99917 
 99917 
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 3 
 29 
 
 28 
 
 27 
 26 
 
 P 
 
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 39 
 
 ii 31 20 
 
 31 12 
 
 31 i 
 
 3 56 
 
 30 48 
 
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 28 56 
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 29 12 
 
 8. 79588 
 797S9 
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 201 
 201 
 199 
 199 
 
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 II. 20412 
 202 1 1 
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 19612 
 
 8. 79 6 73 
 
 79875 
 80076 
 
 80277 
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 202 
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 201 
 199 
 
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 11.20327 
 20125 
 19924 
 
 19723 
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 10. 00085 
 
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 9.99915 
 99914 
 
 99913 
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 25 
 24 
 23 
 
 22 
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 40 
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 42 
 43 
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 3 3 2 
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 30 16 
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 29 28 
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 80782 
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 197 
 196 
 
 95 
 194 
 
 193 
 
 II. I94K 
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 18827 
 18633 
 
 8. 80674 
 80872 
 81068 
 81264 
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 108 
 196 
 196 
 
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 194 
 
 ii. 193:6 
 19128 
 18932 
 18736 
 
 18541 
 
 10. 00089 
 00090 
 00091 
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 9.99911 
 99910 
 99909 
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 19 
 18 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
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 29 52 
 29 44 
 29 36 
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 30 8 
 30 16 
 
 3 24 
 30 32 
 
 8.81560 
 81752 
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 82134 
 82324 
 
 192 
 192 
 190 
 190 
 189 
 
 II. 18440 
 18248 
 18056 
 17866 
 17676 
 
 8. 81653 
 81846 
 82038 
 82230 
 
 824:0 
 
 193 
 192 
 192 
 190 
 190 
 
 11.18347 
 18154 
 17962 
 17770 
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 10. 00093 
 00094 
 
 00095 
 
 00096 
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 9- 9997 
 99906 
 99905 
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 15 
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 12 
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 5 
 51 
 52 
 53 
 
 54 
 
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 29 12 
 
 28 56 
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 31 4 
 
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 8.82513 
 82701 
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 83075 
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 188 
 187 
 187 
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 185 
 
 11.17487 
 17299 
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 16925 
 16730 
 
 8. 82610 
 
 82799 
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 83'75 
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 189 
 188 
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 ii. 17390 
 17201 
 
 7 '3 
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 10. 00097 
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 9- 99903 
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 55 
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 28 32 
 28 24 
 
 28 16 
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 31 28 
 
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 8. 83446 
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 184 
 183 
 
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 181 
 
 181 
 
 II.l655 4 
 16370 
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 8- 83547 
 
 83732 
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 84100 
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 184 
 
 184 
 182 
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 182 
 
 II. 16453 
 16268 
 16084 
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 9- 99898 
 99898 
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 Sine. 
 
 M. 
 
 93 86 
 
SINES, TANGENTS, AND SECANTS. 
 4 . 175 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
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 Dlff. i'. 
 
 Cosecant. 
 
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 I 
 
 2 
 
 3 
 
 4 
 
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 27 52 
 27 44 
 27 3 6 
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 32 8 
 32 16 
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 8. 84358 
 
 84539 
 84718 
 84897 
 8 575 
 
 181 
 179 
 179 
 
 I 7 8 
 177 
 
 II. 15642 
 15461 
 15282 
 
 '5'3 
 14925 
 
 8. 84464 
 84646 
 84826 
 85006 
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 182 
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 179 
 178 
 
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 14994 
 14815 
 
 IO. 00106 
 00107 
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 00109 
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 9. 99894 
 
 99893 
 99892 
 99891 
 99891 
 
 60 
 
 59 
 58 
 
 11 
 
 8 
 9 
 
 II 27 20 
 27 12 
 27 A 
 
 26 56 
 26 48 
 
 o 32 40 
 32 48 
 32 56 
 33 4 
 33 12 
 
 8. 85252 
 
 85429 
 85605 
 85780 
 85955 
 
 177 
 I 7 6 
 
 175 
 175 
 173 
 
 II. 14748 
 I457I 
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 14220 
 14045 
 
 8. 85363 
 85540 
 85717 
 85% 
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 177 
 
 '77 
 176 
 176 
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 11. 14637 
 14460 
 14283 
 14107 
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 10. oo no 
 
 OOIII 
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 00113 
 00114 
 
 9. 99890 
 99889 
 99888 
 99887 
 99886 
 
 55 
 54 
 53 
 52 
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 10 
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 12 
 13 
 14 
 
 II 26 40 
 26 32 
 26 24 
 
 26 l6 
 
 26 8 
 
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 33 28 
 33 36 
 33 44 
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 8.86128 
 86301 
 86474 
 86645 
 86816 
 
 173 
 173 
 171 
 171 
 171 
 
 II. 13872 
 
 13699 
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 13184 
 
 8. 86243 
 86417 
 86591 
 86763 
 86935 
 
 '74 
 '74 
 172 
 172 
 171 
 
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 '3583 
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 13065 
 
 10. 00115 
 
 001 ID 
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 9. 99885 
 99884 
 99883 
 99882 
 99881 
 
 5o 
 49 
 48 
 47 
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 17 
 
 18 
 19 
 
 II 26 O 
 
 25 52 
 25 44 
 
 25 3 6 
 
 25 28 
 
 34 o 
 34 8 
 34 '6 
 34 2 4 
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 8. 86987 
 87156 
 
 87325 
 87494 
 87661 
 
 169 
 169 
 
 i6J> 
 167 
 
 168 
 
 ii. 13013 
 
 12844 
 12675 
 12506 
 12339 
 
 8. 87106 
 87277 
 87447 
 87616 
 87785 
 
 171 
 
 170 
 169 
 169 
 1 68 
 
 ii. 12894 
 12723 
 
 12553 
 12384 
 
 12215 
 
 10. 00120 
 OOI2I 
 OOI2I 
 OOI22 
 OOI23 
 
 9. 99880 
 99879 
 
 99879 
 99878 
 99877 
 
 45 
 44 
 43 
 42 
 
 4' 
 
 20 
 21 
 22 
 
 2 3 
 24 
 
 ii 25 20 
 
 25 12 
 
 25 2 
 
 24 5 6 
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 34 43 
 34 5 6 
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 8. 87829 
 
 87995 
 88161 
 88326 
 88490 
 
 166 
 166 
 
 165 
 164 
 
 164 
 
 n. 12171 
 
 12005 
 11839 
 11674 
 11510 
 
 8- 87953 
 88120 
 88287 
 
 88453 
 88618 
 
 167 
 167 
 166 
 '65 
 '65 
 
 ii. 12047 
 1 1 880 
 
 "7'3 
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 11382 
 
 10. 00124 
 
 00125 
 OOI26 
 00127 
 OOI28 
 
 9- 99876 
 
 99875 
 99874 
 
 99873 
 99872 
 
 4 
 
 3 ?, 
 38 
 
 3 l 
 36 
 
 25 
 26 
 
 27 
 28 
 29 
 
 ii 24 40 
 
 24 3 2 
 24 24 
 24 16 
 24 8 
 
 o 35 20 
 35 28 
 35 36 
 35 44 
 
 35 52 
 
 8. 88654 
 88817 
 88980 
 89142 
 89304 
 
 '< 3 
 '63 
 
 162 
 162 
 
 1 60 
 
 ii. 11346 
 11183 
 1 1 020 
 10858 
 10696 
 
 8. 88783 
 88948 
 89111 
 89274 
 89437 
 
 165 
 '63 
 '63 
 '63 
 161 
 
 ii. 11217 
 11052 
 10889 
 10726 
 10563 
 
 10. 00129 
 
 00130 
 00131 
 OCH32 
 00133 
 
 9. 99871 
 99870 
 99869 
 99868 
 99867 
 
 35 
 34 
 33 
 3 2 
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 3 
 3i 
 3 2 
 33 
 
 34 
 
 ii 24 o 
 23 S 2 
 23 44 
 23 S 6 
 23 28 
 
 o 36 o 
 36 8 
 36 16 
 36 24 
 3 32 
 
 8. 89464 
 89625 
 89784 
 
 89943 
 90102 
 
 161 
 159 
 '59 
 '59 
 158 
 
 ii. 10536 
 
 l375 
 10216 
 10057 
 09898 
 
 8. 89598 
 89760 
 89920 
 90080 
 90240 
 
 162 
 1 60 
 1 60 
 1 60 
 '59 
 
 ii. 10402 
 10240 
 10080 
 09920 
 09760 
 
 10. 00134 
 00135 
 00136 
 
 00137 
 
 00138 
 
 9. 99866 
 99865 
 99864 
 99863 
 
 99862 
 
 3 
 29 
 28 
 
 2 l 
 26 
 
 3 ! 
 36 
 
 37 
 38 
 39 
 
 II 23 20 
 23 12 
 
 23 4 
 
 22 56 
 22 48 
 
 o 36 40 
 36 48 
 36 56 
 37 4 
 37 '2 
 
 8. 90260 
 90417 
 
 90574 
 90730 
 90885 
 
 '57 
 
 I5 I 
 156 
 
 '55 
 
 155 
 
 II. 09740 
 
 09583 
 09426 
 09270 
 09115 
 
 8. 90399 
 
 90557 
 90715 
 90872 
 91029 
 
 158 
 158 
 '57 
 '57 
 '56 
 
 ii. 09601 
 
 09443 
 09285 
 09128 
 08971 
 
 10. 00139 
 
 00140 
 00141 
 00142 
 00 '43 
 
 9. 99861 
 99860 
 99859 
 99858 
 99857 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 
 41 
 42 
 
 43 
 44 
 
 II 22 40 
 
 22 32 
 22 24 
 
 22 ID 
 22 8 
 
 o 37 20 
 37 28 
 37 3 6 
 37 44 
 37 52 
 
 8. 91040 
 91195 
 
 91349 
 91502 
 
 91655 
 
 '55 
 '54 
 '53 
 '53 
 152 
 
 II. 08960 
 08805 
 
 0865! 
 08498 
 08345 
 
 8.91185 
 9 '340 
 
 9'495 
 91650 
 91803 
 
 '55 
 
 '55 
 '55 
 '53 
 '54 
 
 11.08815 
 08660 
 08505 
 08350 
 08197 
 
 10. 00144 
 00145 
 00146 
 00147 
 00148 
 
 9- 99856 
 
 99855 
 99854 
 
 99853 
 99852 
 
 20 
 
 '9 
 18 
 
 17 
 16 
 
 45 
 
 46 
 
 47 
 48 
 
 49 
 
 II 22 O 
 21 52 
 
 21 44 
 
 21 36 
 21 28 
 
 o 38 o 
 38 8 
 38 16 
 3 24 
 38 32 
 
 S. 91807 
 
 9'959 
 92110 
 92261 
 92411 
 
 152 
 '5' 
 '5' 
 150 
 
 150 
 
 II. 08193 
 08041 
 07890 
 
 7739 
 07589 
 
 8. 91957 
 92110 
 
 92262 
 92414 
 
 92565 
 
 '53 
 
 '52 
 
 152 
 '5' 
 'Si 
 
 ii. 08043 
 07890 
 
 07738 
 07586 
 
 07435 
 
 10. 00149' 
 00150 
 00152 
 
 00153 
 
 00154 
 
 9.99851 
 99850 
 99848 
 
 99847 
 99846 
 
 IS 
 H 
 13 
 
 12 
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 5 
 5' 
 
 52 
 53 
 
 54 
 
 II 21 20 
 21 12 
 
 21 4 
 20 56 
 20 48 
 
 o 38 40 
 38 48 
 38 56 
 39 4 
 39 12 
 
 8. 92561 
 92710 
 92859 
 93007 
 93154 
 
 '49 
 '49 
 148 
 
 '47 
 
 147 
 
 11.07439 
 
 07200 
 07141 
 06903 
 06846 
 
 8.92716 
 92866 
 93016 
 93165 
 93313 
 
 150 
 150 
 
 '49 
 148 
 149 
 
 n. 0.7284 
 
 07134 
 06984 
 06035 
 06687 
 
 10. 00155 
 00156 
 
 00157 
 
 00158 
 00159 
 
 9- 99845 
 99844 
 
 99843 
 99842 
 
 99841 
 
 10 
 I 
 
 55 
 5 6 
 
 ii 
 
 59 
 60 
 
 II 2O 40 
 20 32 
 
 2O 24 
 20 10 
 20 8 
 
 20 o 
 
 o 39 20 
 39 28 
 39 3 6 
 39 44 
 39 5 2 
 40 o 
 
 8. 93301 
 93448 
 93594 
 9374 
 93885 
 94030 
 
 H l 
 146 
 
 146 
 '45 
 '45 
 44 
 
 li. 06699 
 06552 
 06406 
 06260 
 06115 
 05970 
 
 8. 93462 
 93609 
 93 75 6 
 93903 
 94049 
 
 94195 
 
 '47 
 '47 
 147 
 146 
 146 
 '45 
 
 11.06538 
 06391 
 06244 
 06097 
 
 05951 
 05805 
 
 10. 00160 
 00161 
 00162 
 00163 
 00164 
 00166 
 
 9- 99840 
 
 99839 
 99838 
 
 99837 
 99836 
 
 99834 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Difi. i'. 
 
 Secant 
 
 Cotangent. 
 
 Diff. i'. 
 
 Tangent. 
 
 Cosecant. 
 
 Sine. 
 
 M. 
 
 94 85 
 
 18. 
 
SINES, TANGENTS, AND SECANTS. 
 5 174 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 4 
 
 II 20 OO 
 1952 
 "9 44 
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 19 28 
 
 0.40 o 
 40 8 
 40 16 
 40 24 
 40 32 
 
 8. 94030 
 94' 74 
 943 '7 
 94461 
 94603 
 
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 2 
 
 4 
 7 
 9 
 
 11.05970 
 05826 
 05683 
 05539 
 05397 
 
 8. 94195 
 94340 
 94485 
 94630 
 
 94773 
 
 O 
 
 2 
 4 
 7 
 9 
 
 II. 05805 
 05660 
 
 55'5 
 053/0 
 05227 
 
 10. 00166 
 00167 
 00168 
 00169 
 00170 
 
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 o 
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 9- 99834 
 99 8 33 
 99832 
 99831 
 
 99830 
 
 60 
 
 59 
 
 58 
 
 57 
 56 
 
 8 
 9 
 
 II 19 20 
 19 12 
 
 19 4 
 
 18 56 
 
 18 48 
 
 o 40 40 
 40 48 
 40 56 
 41 4 
 4! 12 
 
 8. 94746 
 94887 
 95029 
 95170 
 953' 
 
 ii 
 
 '3 
 
 15 
 
 20 
 
 11.05254 
 
 053 
 04971 
 04830 
 04690 
 
 8. 94917 
 95060 
 95202 
 
 95344 
 95486 
 
 ii 
 "3 
 
 18 
 
 20 
 
 n. 05083 
 04940 
 04798 
 04656 
 04514 
 
 10. 00171 
 00172 
 
 00173 
 00175 
 
 00176 
 
 o 
 o 
 o 
 o 
 o 
 
 9. 09829 
 99828 
 99827 
 99825 
 99824 
 
 55 
 54 
 53 
 
 5 2 
 5' 
 
 10 
 
 ii 
 
 12 
 
 '3 
 14 
 
 II 1 8 40 
 18 32 
 18 24 
 iS 16 
 18 8 
 
 O 41 20 
 41 28 
 
 41 3 6 
 41 44 
 41 52 
 
 8. 95450 
 
 955 8 9 
 95728 
 95867 
 96005 
 
 22 
 
 24 
 26 
 29 
 
 3' 
 
 n. 04550 
 04411 
 04272 
 433 
 03995 
 
 8.95627 
 
 95767 
 95908 
 90047 
 96187 
 
 22 
 24 
 27 
 29 
 
 3 1 
 
 11.04373 
 
 04233 
 04092 
 
 03953 
 03813 
 
 10. 00177 
 00178 
 00179 
 00180 
 00181 
 
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 o 
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 9- 99823 
 99822 
 99821 
 99820 
 99819 
 
 So 
 49 
 48 
 
 47 
 46 
 
 15 
 10 
 
 17 
 
 18 
 
 19 
 
 ii 18 o 
 1752 
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 1736 
 17 28 
 
 o 42 o 
 42 8 
 42 16 
 42 24 
 42 32 
 
 8. 96143 
 96280 
 96417 
 
 96553 
 96689 
 
 33 
 35 
 37 
 39 
 
 42 
 
 11.03857 
 03720 
 03583 
 03447 
 03311 
 
 8. 96325 
 96464 
 96602 
 
 96739 
 96877 
 
 33 
 35 
 38 
 40 
 
 42 
 
 11.03675 
 03536 
 03398 
 03261 
 
 03123 
 
 10. 00183 
 00184 
 00185 
 00186 
 00187 
 
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 o 
 o 
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 9.99817 
 99816 
 99815 
 99814 
 99813 
 
 45 
 44 
 
 43 
 42 
 
 41 
 
 20 
 21 
 
 22 
 
 23 
 
 24 
 
 II I 7 20 
 
 1712 
 
 17 4 
 
 16 56 
 16 48 
 
 o 42 40 
 42 48 
 42 5 6 
 43 4 
 43 I2 
 
 8. 96825 
 96960 
 
 9795 
 97229 
 97363 
 
 44 
 46 
 
 48 
 5 
 53 
 
 11.03175 
 03040 
 02905 
 02771 
 02637 
 
 8.97013 
 97150 
 97285 
 97421 
 9755 6 
 
 44 
 46 
 
 49 
 5' 
 53 
 
 n. 02987 
 02850 
 02715 
 02579 
 02444 
 
 10. 00188 
 00190 
 00191 
 00192 
 
 00193 
 
 o 
 o 
 o 
 
 
 
 o 
 
 9. 99812 
 99810 
 99809 
 99808 
 99807 
 
 40 
 39 
 3* 
 37 
 3& 
 
 25 
 26 
 
 27 
 
 28 
 
 29 
 
 ii 16 40 
 16 32 
 16 24 
 16 16 
 16 8 
 
 o 43 20 
 43 28 
 43 3 6 
 43 44 
 43 52 
 
 8. 97496 
 97629 
 97762 
 97894 
 98026 
 
 55 
 57 
 59 
 61 
 
 64 
 
 ii. 02504 
 02371 
 02238 
 02106 
 01974 
 
 8. 97691 
 97825 
 
 97959 
 98092 
 98225 
 
 ii 
 
 60 
 
 62 
 64 
 
 ii. 02399 
 02175 
 02041 
 01908 
 01775 
 
 10. 00194 
 00196 
 00197 
 00198 
 00199 
 
 
 9. 99806 
 99804 
 99803 
 99802 
 99801 
 
 35 
 34 
 33 
 3 2 
 3' 
 
 3 
 3' 
 32 
 33 
 
 34 
 
 II 16 o 
 1552 
 >544 
 1536 
 15 28 
 
 o 44 o 
 44 
 44 6 
 44 24 
 
 44 32 
 
 8.98157 
 98288 
 98419 
 
 98549 
 98679 
 
 66 
 68 
 70 
 72 
 75 
 
 ii. 01843 
 01712 
 01581 
 01451 
 01321 
 
 8. 98358 
 98490 
 98622 
 
 98753 
 98884 
 
 6t> 
 69 
 71 
 73 
 75 
 
 ii. 61642 
 01510 
 01378 
 01247. 
 on 16 
 
 IO. O0200 
 OO2O2 
 OO2O3 
 00204 
 00205 
 
 
 9. 99800 
 99798 
 
 99797 
 99796 
 
 99795 
 
 3 
 29 
 28 
 27 
 26 
 
 3 
 
 9 
 
 39 
 
 II 15 20 
 15 12 
 
 'S 4 
 
 14 56 
 1448 
 
 o 44 40 
 44 48 
 44 56 
 45 4 
 45 '2 
 
 8. 98808 
 
 9 S 937 
 99066 
 99194 
 99322 
 
 77 
 79 
 81 
 83 
 86 
 
 11.01192 
 01063 
 00934 
 00806 
 00678 
 
 8.99015 
 99145 
 99275 
 9945 
 99534 
 
 77 
 80 
 82 
 84 
 86 
 
 n. 00985 
 00855 
 00725 
 00595 
 004.66 
 
 lo. 00207 
 
 OO2o8 
 O0209 
 O02IO 
 O02I2 
 
 
 9- 99793 
 99792 
 
 99791 
 99790 
 99788 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4" 
 
 42 
 
 43, 
 44 
 
 11 14 40 
 
 1432 
 14 24 
 
 14 16 
 14 8 
 
 o 45 20 
 45 28 
 45 36 
 45 44 
 45 5 2 
 
 8. 9945 
 99577 
 99704 
 
 99830 
 99956 
 
 88 
 90 
 92 
 
 94 
 96 
 
 ii. 00550 
 00423 
 00296 
 00170 
 00044 
 
 8. 99662 
 99791 
 99919 
 9. 00046 
 00174 
 
 89 
 91 
 93 
 95 
 97 
 
 11.00338 
 00209 
 00081 
 10. 99954 
 99826 
 
 10.00213 
 O02I4 
 00215 
 O02I7 
 00218 
 
 ) 
 
 9- 99787 
 99786 
 
 99785 
 99783 
 99782 
 
 20 
 19 
 
 18 
 
 '7 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 ii 14 o 
 1352 
 '344 
 1336 
 13 28 
 
 o 46 o 
 46 8 
 46 16 
 46 24 
 46 3 2 
 
 9. 00082 
 00207 
 00332 
 00456 
 00581 
 
 99 
 
 101 
 
 3 
 105 
 107 
 
 16. 99918 
 
 99793 
 99668 
 
 99544 
 99419 
 
 9. 00301 
 00427 
 
 00553 
 00679 
 00801; 
 
 IOO 
 102 
 104 
 1 06 
 
 108 
 
 10. 99699 
 
 99573 
 99447 
 99321 
 99'95 
 
 10. 00219 
 
 O0220 
 OO222 
 OO223 
 OO224 
 
 
 9- 9978i 
 99780 
 99778 
 
 99777 
 99776 
 
 '5 
 14 
 '3 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 54 
 
 II 13 20 
 13 12 
 
 13 1 
 12 56 
 
 12 48 
 
 o 46 40 
 46 48 
 46 56 
 47 4 
 47 12 
 
 9. 00704 
 00828 
 -0095J. 
 01074 
 01196 
 
 no 
 
 112 
 114 
 
 116 
 118 
 
 10. 99296 
 99172 
 99049 
 98926 
 98804 
 
 9- 00930 
 01055 
 01 1 79 
 
 01303 
 01427 
 
 111 
 "3 
 "5 
 "7 
 
 120 
 
 10. 99070 
 98945 
 98821 
 98697 
 
 98573 
 
 10. 00225 
 
 CO227 
 00228 
 OO229 
 OO23I 
 
 
 9- 99775 
 99773 
 99772 
 
 99771 
 99769 
 
 10 
 
 6 
 
 55 
 5 
 
 11 
 8 
 
 II 12 40 
 12 32 
 12 24 
 12 l6 
 12 8 
 12 
 
 o 47 20 
 47 28 
 47 36 
 47 44 
 47 52 
 48 o 
 
 9. 01318 
 01440 
 01561 
 01682 
 01803 
 01923 
 
 121 
 
 123 
 125 
 127 
 129 
 '32 
 
 10. 98682 
 98560 
 98439 
 98318 
 98197 
 98077 
 
 9.01550 
 01673 
 01796 
 01918 
 02040 
 02162 
 
 122 
 124 
 126 
 128 
 3' 
 133 
 
 10. 98450 
 
 98327 
 
 98204 
 98082 
 97960 
 
 97838 
 
 10. 00232 
 
 00233 
 00235 
 00230 
 00237 
 00239 
 
 
 99768 
 99767 
 99765 
 99764 
 
 99763 
 99761 
 
 5 
 4 
 3 
 
 2 
 I 
 
 
 
 It. 
 
 Hour i". a. 
 
 Hour A. M. 
 
 Cosine. 
 
 D1S. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 &MR6. 
 
 M. 
 
 95 84 
 
f SINES, TANGENTS, AND SECANTS. 
 C 
 
 .. m 
 
 M. 
 
 Hour A. M. 
 
 Hour P.M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent 
 
 Diff. 
 
 Cotangent. 
 
 Secant, 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 o 
 I 
 
 2 
 
 3 
 
 4. 
 
 II 12 O 
 
 II 52 
 1144 
 II 36 
 II 28 
 
 O 48 
 
 48 8 
 48 16 
 48 24 
 48 32 
 
 9- 01923 
 02043 
 02163 
 02283 
 02402 
 
 O 
 2 
 
 
 
 7 
 
 10. 98077 
 97957 
 9737 
 97717 
 97598 
 
 9.02162 
 02283 
 02404 
 02525 
 
 02645 
 
 O 
 2 
 
 4 
 6 
 8 
 
 10. 97838 
 
 97717 
 97596 
 97475 
 97355 
 
 10. 00239 
 
 00240 
 0024! 
 00243 
 00244 
 
 O 
 O 
 
 o 
 o 
 
 o 
 
 9- 9976i 
 
 99760 
 
 99759 
 99757 
 99756 
 
 60 
 59 
 58 
 
 11 
 
 I 
 9 
 
 II I I 2O 
 II 12 
 
 ii 4 
 10 56 
 10 48 
 
 48 40 
 
 48 48 
 4 8 56 
 49 4 
 49 12 
 
 9. 02520 
 02639 
 0275.7 
 02874 
 02992 
 
 Q 
 11 
 
 3 
 
 '5 
 17 
 
 10. 97480 
 973 61 
 97243 
 97126 
 97008 
 
 9. os."66 
 02885 
 03005 
 03124 
 03242 
 
 9 
 ii 
 
 '3 
 IS 
 7 
 
 13. 97234 
 97"5 
 96995 
 96876 
 96758 
 
 10, 00245 
 
 00247 
 
 00248 
 00249 
 00251 
 
 o 
 
 
 
 o 
 o 
 o 
 
 9-99755 
 99753 
 99752 
 
 99751 
 99749 
 
 55 
 54 
 53 
 52 
 5 
 
 10 
 II 
 
 12 
 
 '3 
 
 14 
 
 II 10 40 
 
 10 32 
 10 24 
 10 16 
 10 8 
 
 o 49 20 
 49 28 
 49 3 6 
 49 44 
 49 5 2 
 
 9. 03109 
 03226 
 03342 
 03458 
 03574 
 
 19 
 20 
 
 22 
 
 24 
 26 
 
 10. 96891 
 
 96774 
 96658 
 96542 
 96426 
 
 9- 9336i 
 03479 
 03597 
 03^14 
 03832 
 
 19 
 
 21 
 23 
 
 24 
 26 
 
 10. 96639 
 96521 
 
 96403 
 96286 
 96168 
 
 10.00252 
 
 00253 
 00255 
 
 00256 
 00258 
 
 o 
 o 
 o 
 
 
 
 
 9- 99748 
 99747 
 99745 
 99744 
 99742 
 
 So 
 49 
 48 
 
 47 
 46 
 
 11 
 
 17 
 
 18 
 9 
 
 II 10 
 
 9 5 2 
 944 
 936 
 9 28 
 
 o 50 o 
 50 8 
 50' 1 6 
 50 24 
 50 32 
 
 9. 03690 
 03805 
 03920 
 04034 
 04M9 
 
 28 
 
 3 
 3 
 33 
 35 
 
 10.96310 
 96195 
 96080 
 95966 
 95851 
 
 9- 3948 
 04065 
 94181 
 04297 
 04413 
 
 28 
 
 3 
 
 32 
 
 3 t 
 36 
 
 10. 96052 
 
 95935 
 95819 
 
 95703 
 
 95-587 
 
 10. 00259 
 00260 
 00262 
 00263 
 00264 
 
 
 
 o 
 o 
 
 
 
 o 
 
 9- 99741 
 99740 
 
 9973 s 
 99737 
 99736 
 
 45 
 44 
 43 
 42 
 4' 
 
 20 
 
 21 
 22 
 23 
 
 24 
 
 II 9 20 
 
 9 12 
 
 9 4 
 856 
 848 
 
 o 50 40 
 50- 48 
 50 56 
 5' 4 
 
 51 12 
 
 9. 04262 
 
 0437 6 
 04490 
 04603 
 04715 
 
 37 
 39 
 Al 
 43 
 
 44 
 
 10.95738 
 95624 
 95510 
 
 95397 
 95285 
 
 9. 04528 
 04643 
 04758 
 04873 
 04987 
 
 3 
 
 39 
 4 
 
 43 
 45 
 
 10. 95472 
 9535,7 
 95242 
 95127 
 
 95'3 
 
 10. 00266 
 
 00267 
 00269 
 00270 
 00272 
 
 
 
 9- 99734 
 99733 
 9973' 
 9973 
 99728 
 
 40 
 39 
 38 
 
 9 
 
 II 
 
 12 
 
 29 
 
 II 8 40 
 832. 
 8 24 
 8 16 
 8 8 
 
 51 20 
 51 28 
 
 5" 36 
 51 44 
 5' 52 
 
 9. 04828 
 04940 
 05052 
 05164 
 05275 
 
 4 b 
 48 
 
 5 
 
 52 
 
 54 
 
 10.95172 
 95060 
 94948 
 94836 
 94725 
 
 9.05101 
 '05214 
 
 05328 
 05441 
 05553 
 
 47 
 49 
 5 
 53 
 
 54 
 
 10. 94899 
 94786 
 94672 
 94559 
 94447 
 
 10. 00373 
 
 00274 
 
 00276 
 
 00277 
 
 00279 
 
 
 9.99727 
 99726 
 
 99724 
 99723 
 99721 
 
 35 
 34 
 33 
 32 
 3i 
 
 3 
 Si 
 32 
 
 33 
 
 34 
 
 II 8 o 
 
 752 
 744 
 736 
 728 
 
 o 52 o 
 52 8 
 52 16 
 52 24 
 52 32 
 
 9. 05386 
 
 05497 
 05607 
 05717 
 05827 
 
 56 
 57 
 
 0? 
 
 3 
 
 10.94614 
 9453 
 94393 
 94283 
 
 94173 
 
 9. 05666 
 05778 
 05890 
 06002 
 06113 
 
 50 
 58 
 60 
 62 
 64 
 
 IP. 94334 
 94222 
 94110 
 9399 s 
 93887 
 
 10. 00280 
 00282 
 00283 
 00284 
 00286 
 
 
 9- 99720 
 99718 
 
 997' 7 
 99716 
 
 997M 
 
 3 
 
 20 
 28 
 
 27 
 
 26 
 
 35 
 36 
 37 
 38 
 
 39 
 
 ii 7 20 
 
 712 
 
 7 4 
 656 
 648 
 
 o 52 40 
 
 52 48 
 52 56 
 
 53 4 
 53 '2 
 
 9-05937 
 06046 
 
 6'5S 
 06264 
 06372 
 
 65 
 
 67 
 69 
 
 70 
 72 
 
 10. 94063 
 93954 
 93 8 45 
 93736 
 93628 
 
 9. 06224 
 06335 
 06445 
 06556 
 06666 
 
 66 
 68 
 69 
 7' 
 73 
 
 10. 93776 
 93665 
 93555 
 93444 
 93334 
 
 10. 00287 
 00289 
 00290 
 00292 
 
 00293 
 
 
 9-997I3 
 99711 
 99710 
 99708 
 99ro7 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 
 41 
 42 
 43 
 
 44 
 
 ii 6 40 
 632 
 624 
 6j6 
 6 8 
 
 o 53 20 
 53 28 
 53 36 
 53 44 
 53 52 
 
 9.06481 
 06589 
 06696 
 06804 
 06911 
 
 74 
 76 
 
 
 Si 
 
 10.93519 
 934" 
 9334 
 93196 
 93089 
 
 9- 06775 
 06885 
 06994 
 07103 
 07211 
 
 75 
 77 
 79 
 
 Si 
 
 83 
 
 10. 93225 
 
 93"5 
 93006 
 92897 
 92789 
 
 10. 00295 
 00296 
 00298 
 00299 
 00301 
 
 
 9- 99705 
 99704 
 99702 
 99701 
 99699 
 
 20 
 19 
 
 II 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 II 6 o 
 
 552 
 5 44 
 536 
 528 
 
 o 54 o 
 54 8 
 54 16 
 54 24 
 54 32 
 
 9.07018 
 07124 
 07231 
 
 07337 
 
 07442 
 
 3 
 85 
 87 
 89 
 
 9 
 
 10. 92982 
 92876 
 92769 
 92663 
 92558 
 
 9- 07320 
 07428 
 
 753 6 
 07643 
 07751 
 
 84 
 86 
 88 
 90 
 92 
 
 10. 92680 
 
 92572 
 92404 
 
 92357 
 92249 
 
 10. 00302 
 00304 
 00305 
 00307 
 
 00308 
 
 
 9- 99698 
 99696 
 
 99695 
 99693 
 99692 
 
 '5 
 '4 
 '3 
 
 12 
 II 
 
 5 
 51 
 52 
 53 
 54 
 
 ii 5 20 
 5 12 
 
 5 4 
 
 456 
 448 
 
 o 54 40 
 54 48 
 54 56 
 55 4 
 55 12 
 
 9- 7 I )43 
 0/653 
 07758 
 0786? 
 07968 
 
 93 
 94 
 96 
 
 98 
 
 100 
 
 10. 92452 
 
 92347 
 92242 
 
 92137 
 92032 
 
 9. 07858 
 07964 
 08071 
 08177 
 08283 
 
 94 
 96 
 98 
 
 99 
 
 IOI 
 
 10.92142 
 92036 
 91929 
 91823 
 91717 
 
 10.00310 
 
 00311 
 00313 
 00314 
 
 00316 
 
 
 9- 99690 
 99689 
 99687 
 99686 
 99684 
 
 10 
 
 6 
 
 P. 
 U 
 
 59 
 60 
 
 ii 440 
 432 
 424 
 416 
 
 4 * 
 4 6 
 
 o 55 20 
 55 28 
 55 36 
 55 44 
 55 52 
 56 o 
 
 9. 08072 
 08176 
 08280 
 
 08383 
 08486 
 08589 
 
 102 
 
 104 
 
 106 
 107 
 109 
 in 
 
 10. 91928 
 91824 
 
 91720 
 91617 
 91514 
 91411 
 
 9. 08389 
 08495 
 08600 
 08705 
 08810 
 08914 
 
 '3 
 105 
 107 
 109 
 in 
 113 
 
 10.91011 
 91505 
 91400 
 91295 
 91190 
 91086 
 
 10.00317 
 
 00319 
 00320 
 
 OQ322 
 00323 
 00325 
 
 
 9- 99683 
 99681 
 99680 
 99678 
 99677 
 99675 
 
 5 
 4 
 3 
 
 2 
 
 I 
 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 96 '88 s 
 
SIXES, TANGENTS, AND SECANTS. 
 7 172 
 
 M. 
 
 Hour A. M. 
 
 Hour r. M. 
 
 Sine. 
 
 Did 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 I 
 
 2 
 
 3 
 
 4 
 
 1140 
 362 
 
 3 44 
 336 
 3^2 
 
 O 56 O 
 56 8 
 56 16 
 
 56 24 
 56 32 
 
 9. 08589 
 08692 
 08795 
 08897 
 08909 
 
 
 
 : 
 3 
 
 6 
 
 10.9141! 
 91308 
 91205 
 91103 
 9IOOI 
 
 9. 08914 
 09019 
 09123 
 09227 
 09330 
 
 O 
 2 
 
 3 
 
 5 
 7 
 
 10.91086 
 90981 
 90877 
 
 9773 
 00670 
 
 10. 00325 
 
 .00326 
 00328 
 00330 
 00331 
 
 O 
 
 o 
 
 o. 
 a 
 
 o 
 
 9- 99675 
 99674 
 99672 
 $9670 
 99669 
 
 60 
 59 
 58 
 57 
 5* 
 
 6 
 
 8 
 9 
 
 ii 3 20 
 3 '2 
 
 3 4 
 
 256 
 
 2 48 
 
 o 56 40 
 56 48 
 56 56 
 57 4 
 J7 12 
 
 9.09101 
 09202 
 
 093 4 
 09405 
 09506 
 
 8 
 10 
 ii 
 13 
 '4 
 
 10. 00899 
 
 90798 
 
 90696 
 
 90595 
 90494 
 
 9- 09434 
 09537 
 09640 
 09742 
 09845 
 
 8 
 
 10 
 
 ii 
 13 
 15 
 
 10. 90566 
 
 90463 
 
 90360 
 
 90258 
 90155 
 
 10. 00333 
 
 00334 
 00336 
 
 00337 
 00339 
 
 o 
 o 
 o 
 o 
 o 
 
 9.99667 
 99666 
 99664 
 99663 
 99661 
 
 55 
 54 
 53 
 52 
 5i 
 
 10 
 
 ii 
 
 12 
 
 13 
 
 14 
 
 II 2 40 
 2 3 2 
 2 24 
 2 l6 
 2 8 
 
 o 57 20 
 57 28 
 57 36 
 57 44 
 57 5-2 
 
 o. 09606 
 09707 
 09807 
 09907 
 10006 
 
 16 
 18 
 
 9 
 
 21 
 
 22 
 
 10. 90394 
 
 90293 
 
 S3I93 
 90093 
 89994 
 
 9- 9947 
 10049 
 10150 
 10252 
 10353 
 
 16 
 18 
 20 
 
 21 
 2.3 
 
 10. 90053 
 
 89951 
 89850.. 
 89-48 
 
 89647 
 
 10. 00341 
 
 00342 
 00344 
 00345 
 00347 
 
 o 
 o 
 o 
 o 
 o 
 
 9. 99659 
 99658 
 99656 
 99655 
 99653 
 
 50 
 
 49 
 
 48 
 
 47 
 46 
 
 15 
 16 
 
 17 
 18 
 
 19 
 
 II 2 
 
 52 
 
 44 
 
 36 
 28 
 
 o 58 o 
 58 8 
 58 16 
 53 24 
 5^32 
 
 o. 10106 
 10205 
 
 10304 
 
 10402 
 10501 
 
 24 
 26 
 
 27 
 29 
 3 
 
 10. 89894 
 
 9795 
 89696 
 89598 
 
 59499 
 
 -0- 10454 
 
 i555 
 10656 
 10756 
 10856 
 
 24 
 26 
 28 
 2 9 
 
 3' 
 
 TO. 89546 
 89445 
 89344 
 89244 
 89144 
 
 10. 00349 
 
 00350 
 00352 
 
 00353 
 00355 
 
 o 
 o 
 o 
 I 
 I 
 
 9.99651 
 99650 
 99648 
 99647 
 
 90645 
 
 45 
 44 
 43 
 42 
 4i 
 
 20 
 21 
 22 
 
 2 Z 
 24 
 
 II 20 
 
 12 
 
 4 
 o 56 
 048 
 
 o 58 40 
 58 48 
 58 56 
 
 59 4 
 59 12 
 
 9- "0599 
 10697 
 10795 
 10893 
 10990 
 
 32 
 
 34 
 35 
 
 ii 
 
 10. 89401 
 
 89303 
 89205 
 
 89107 
 89010 
 
 9. 10956 
 11056 
 11155 
 11254 
 "353 
 
 33 
 34 
 36 
 37 
 39 
 
 10. 89044 
 
 88944 
 88845 
 88746 
 
 88647 
 
 10.00357 
 00358 
 
 00360 
 00362 
 
 00363 
 
 
 9- 99643 
 99642 
 99640 
 99638 
 99637 
 
 40 
 39 
 38 
 37 
 3^ 
 
 2 l 
 26 
 
 27 
 28 
 29 
 
 II O 40 
 
 032 
 
 o 24 
 o 16 
 o 8 
 
 o 59 20 
 59 28 
 59 36 
 59 44 
 59 5 2 
 
 9. 11087 
 11184 
 11281 
 
 "377 
 
 11474 
 
 40 
 42 
 
 43 
 
 4 4 
 46 
 
 10.88913 
 
 SSSi6 
 88719 
 88623 
 88526 
 
 9. 11452 
 
 -"SSI 
 11649 
 
 "747 
 11845 
 
 4i 
 42 
 44 
 46 
 47 
 
 10. 88548 
 
 88449 
 88351 
 
 88253 
 88155 
 
 to. 00365 
 00367 
 00368 
 00370 
 00371 
 
 
 9- 99635 
 99633 
 99632 
 99630 
 99629 
 
 35 
 34 
 33 
 
 r- 
 31 
 
 30 
 31 
 32 
 
 33 
 34 
 
 II O O 
 
 10 59 52 
 5944 
 59'3& 
 5928 
 
 100 
 
 o 8 
 o 16 
 o 24 
 o 32 
 
 9.11570 
 
 ; II666 
 II76l 
 Il8 57 
 II952 
 
 48 
 50 
 5! 
 53 
 54 
 
 10. 88430 
 88334 
 88239 
 88143 
 88048 
 
 9- "943 
 12040 
 12138 
 12235 
 12332 
 
 49 
 51 
 
 52 
 54 
 
 SS 
 
 10.88057 
 87960 
 87862 
 
 87765 
 
 87668 
 
 10. 00373 
 
 00375 
 00376 
 00378 
 
 00380 
 
 
 9- 99627 
 99625 
 99624 
 99622 
 99620 
 
 30 
 29 
 28 
 
 27 
 
 26 
 
 35 
 36 
 
 11 
 39 
 
 10 59 20 
 59 '2 
 59 4 
 5856 
 58-48 
 
 I O 40 
 
 o 48 
 o 56 
 
 4 
 
 12 
 
 9. 12047 
 I2I42 
 12236 
 
 12331 
 12425 
 
 56 
 58 
 59 
 6j 
 62 
 
 10. 87953 
 
 87858 
 87764 
 
 87669 
 
 87575 
 
 9. 12428 
 .12525 
 12621 
 12717 
 128-3 
 
 57 
 
 I 9 
 60 
 
 62 
 64 
 
 10.87572 
 87475 
 87379 
 87283 
 87187 
 
 10. 00382 
 
 00383 
 00385 
 
 00387 
 00388 
 
 
 9.99618 
 99617 
 99615 
 
 99613 
 
 99612 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4i 
 42 
 43 
 
 44 
 
 10 58 40 
 
 5832 
 5824 
 58 16 
 58 8 
 
 I 20 
 28 
 36 
 
 44 
 S 2 
 
 9.12519 
 12612 
 12706 
 12799 
 
 12892 
 
 64 
 66 
 
 67 
 69 
 
 70 
 
 10. 87481 
 
 87388 
 87294 
 
 87201 
 87108 
 
 9. 12909 
 13004 
 13099 
 13194 
 13289 
 
 65 
 
 tl 
 70 
 
 72 
 
 10. 87091 
 86996 
 86901 
 86806 
 86711 
 
 10. 00390 
 
 00392 
 00393 
 00395 
 00397 
 
 
 9. 99610 
 99608 
 99607 
 99605 
 99603 
 
 20 
 
 19 
 
 18 
 
 i? 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 10 58 o 
 5752 
 5744 
 5736 
 5728 
 
 120 
 
 2 8 
 2 16 
 2 2 4 
 2 3 2 
 
 9. 12985 
 13078 
 
 '3'7i 
 13263 
 
 "3355 
 
 72 
 74 
 75 
 77 
 
 78 
 
 10.87015 
 86922 
 
 86-829 
 
 86737 
 86645 
 
 9- 3384 
 34/S 
 
 '3573 
 13667 
 13761 
 
 73 
 75 
 
 I 1 
 So 
 
 10.86616 
 
 86522 
 86427 
 
 86333 
 86239 
 
 10. 00399 
 00400 
 00402 
 00404 
 00405 
 
 
 9.99601 
 99600 
 99508 
 99596 
 99595 
 
 '5 
 14 
 '3 
 
 12 
 II 
 
 5" 
 Si 
 2 
 53 
 
 54 
 
 10 57 20 
 57 12 
 57 4 
 5656 
 5648 
 
 I 2 40 
 2 48 
 2 5 6 
 
 3 4 
 
 3 '2 
 
 9- '3447 
 '3539 
 I3 6 3o 
 13722 
 
 13813 
 
 So 
 82 
 
 f 3 
 85 
 8? 
 
 10. 86553 
 
 86461 
 
 86370 
 
 86270 
 86187 
 
 9- 13854 
 I394S 
 14041 
 I4I34 
 14227 
 
 fci 
 
 83 
 85 
 86 
 88 
 
 10.86146 
 86052 
 
 85959 
 85866 
 
 85773 
 
 10. 00407 
 00409 
 00411 
 00412 
 00414 
 
 2 
 
 9- 99&3 
 99591 
 99589 
 99588 
 99586 
 
 IO 
 I 
 
 i 
 
 58 
 
 s 
 
 10 56 40 
 
 5632 
 5&2 4 
 56 16 
 56 8 
 56 o 
 
 i 3 20 
 3 28 
 336 
 3 44 
 3 52 
 4 o 
 
 9. 13904 
 
 13994 
 14085 
 
 I4I75 
 14266 
 
 I435 6 
 
 88 
 90 
 91 
 93 
 
 9 
 
 10.86096 
 86006 
 
 85915 
 85825 
 
 85734 
 
 85044 
 
 9- 14320 
 14412 
 14504 
 
 14597 
 14688 
 14780 
 
 90 
 91 
 93 
 
 21 
 
 Ob 
 
 98 
 
 10. 85680 
 S 55 S8 
 85496 
 854P3 
 85312 
 85220 
 
 10. 00416 
 
 004*8 
 
 00419 
 00421 
 
 00423 
 
 00425 
 
 2 
 2 
 2 
 
 2 
 
 2 
 2 
 
 9- 995 S 4 
 99582 
 
 9958i 
 99579 
 99577 
 99575 
 
 S 
 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour P.M. 
 
 HOU/A.M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 D\a. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff 
 
 Sine. 
 
 M. 
 
 97 82 
 
 185 
 
SINES, TANGENTS, AND SECANTS. 
 8 171 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 4 
 
 10 56 o 
 
 55 S2 
 5544 
 
 55 3 6 
 5528 
 
 I 4 
 
 4 8 
 
 4 if) 
 
 4 24 
 
 4 3 2 
 
 9- I435 6 
 
 14445 
 I453S 
 14624 
 
 I47H 
 
 O 
 I 
 
 3 
 4 
 6 
 
 10. 85644 
 85555 
 85465 
 853/6 
 85286 
 
 9. 14780 
 14872 
 M963 
 5054 
 I5H5 
 
 O 
 I 
 
 3 
 4 
 6 
 
 IO. 85220 
 85128 
 
 85037 
 84946 
 
 84855 
 
 IO. 00425 
 00426 
 00428 
 00430 
 00432 
 
 O 
 
 o 
 o 
 
 
 
 o 
 
 9- 99575 
 99574 
 99572 
 
 9957 
 99568 
 
 60 
 59 
 5S 
 
 H 
 
 6 
 
 8 
 9 
 
 10 55 20 
 55 12 
 55 4 
 5456 
 5448 
 
 I 4 40 
 4 48 
 4 5 6 
 5 4 
 5 i 2 
 
 9- 14803 
 14891 
 14980 
 15069 
 I5I57 
 
 8 
 
 IO 
 
 ii 
 '3 
 
 10. 85197 
 85109 
 85020 
 
 84931 
 
 84843 
 
 9- 15236 
 J5327 
 
 I54'7 
 15508 
 
 15598 
 
 7 
 9 
 
 IO 
 12 
 
 13 
 
 io. 84764 
 
 84673 
 84583 
 
 84492 
 
 84402 
 
 io. 00434 
 00435 
 
 00437 
 00439 
 00441 
 
 o 
 
 
 
 o 
 o 
 o 
 
 9- 99566 
 99565 
 99563 
 99561 
 
 99559 
 
 55 
 54 
 53 
 S 2 
 S' 
 
 10 
 ii 
 
 12 
 
 13 
 14 
 
 10 54 40 
 5432 
 5424 
 54 16 
 54 8 
 
 I 5 20 
 
 5 28 
 5 36 
 5 44 
 5 52 
 
 9-15245 
 15333 
 15421 
 15508 
 15596 
 
 14 
 16 
 
 i? 
 18 
 20 
 
 10. 84755 
 
 84667 
 
 84579 
 84492 
 
 84404 
 
 9. 15688 
 
 15777 
 15867 
 
 15956 
 16046 
 
 H 
 
 16 
 17 
 19 
 
 20 
 
 io. 84312 
 
 84223 
 84133 
 
 84044 
 
 83954 
 
 io. 00443 
 00444 
 00446 
 
 00448 
 00450 
 
 o 
 o 
 o 
 o 
 o 
 
 9-99557 
 99S5 6 
 99554 
 99552 
 9955 
 
 50 
 
 49 
 48 
 
 47 
 
 46 
 
 3 
 
 \l 
 
 '9 
 
 10 54 o 
 5352 
 5344 
 5336 
 5328 
 
 i 6 o 
 6 8 
 6 16 
 
 6 24 
 6 32 
 
 9- 15683 
 15770 
 
 15857 
 15944 
 16030 
 
 21 
 23 
 
 24 
 25 
 27 
 
 10.84317 
 84330 
 
 84143 
 84056 
 
 83970 
 
 9- 16135 
 16224 
 16312 
 16401 
 16489 
 
 22 
 23 
 25 
 26 
 
 27 
 
 io. 83865 
 
 83776 
 83688 
 
 83599 
 83511- 
 
 io. 00452 
 
 00454 
 00455 
 
 00457 
 00459 
 
 o 
 
 9- 99548 
 99546 
 
 99545 
 99543 
 9954' 
 
 45 
 44 
 
 43 
 42 
 
 41 
 
 20 
 21 
 
 22 
 23 
 24 
 
 10 53 20 
 53 I2 
 53 4 
 S 2 5 6 
 
 5248 
 
 i 6 40 
 6 48 
 6 56 
 
 7 4 
 
 7 '2 
 
 9. 16116 
 16203 
 16289 
 
 i 6 374 
 16460 
 
 28 
 
 3 
 3i 
 32 
 34 
 
 10. 83884 
 
 83797 
 83711 
 
 83626 
 83540 
 
 9. 16577 
 16665 
 
 16753 
 16841 
 
 16928 
 
 2 9 
 
 3 
 S 2 
 33 
 35 
 
 io. 83423 
 
 83335 
 
 83247 
 
 8 3 '59 
 83072 
 
 io. 00461 
 00463 
 
 00465 
 
 00467 
 
 00468 
 
 
 9- 99539 
 99537 
 99535 
 99533 
 99532 
 
 40 
 39 
 38 
 
 12 
 
 25 
 26 
 
 27 
 28 
 
 29 
 
 10 52 40 
 
 5232 
 15224 
 52 16 
 52 8 
 
 I 7 20 
 
 7 28 
 736 
 7 44 
 7 52 
 
 9.16545 
 16631 
 16716 
 16801 
 16886 
 
 35 
 
 $ 
 
 39 
 4i 
 
 10.83455 
 
 83369 
 83284 
 
 83199 
 83114 
 
 9. 17016 
 17103 
 17190 
 17277 
 17363 
 
 36 
 37 
 39 
 40 
 
 42 
 
 io. 82984 
 
 82897 
 
 82810 
 
 82723 
 82637 
 
 io. 00470 
 
 00472 
 00474 
 
 00476 
 00478 
 
 
 9- 9953 
 99528 
 
 99526 
 99524 
 99522 
 
 35 
 34 
 33 
 32 
 31 
 
 3 
 3 1 
 
 3 2 
 33 
 34 
 
 10 52 o 
 5' 52 
 5 1 44 
 5' 36 
 51 28 
 
 i 8 o 
 8 8 
 8 16 
 8 24 
 832 
 
 9. 16970 
 17055 
 I7I39 
 17223 
 
 I73 7 
 
 42 
 44 
 45 
 47 
 48 
 
 10. 83030 
 
 82945 
 82861 
 
 82777 
 82693 
 
 9- 1 745 
 17536 
 17622 
 17708 
 17794 
 
 43 
 
 4 
 46 
 
 48 
 49 
 
 10.82550 
 
 82464 
 82378 
 82292 
 82206 
 
 io. 00480 
 00482 
 00483 
 00485 
 00487 
 
 
 9- 99520 
 99518 
 
 995 '7 
 99515 
 995 '3 
 
 3 
 29 
 28 
 
 27 
 
 26 
 
 3 
 36 
 
 37 
 38 
 39 
 
 10.51 20 
 
 51 12 
 
 5' 4 
 
 5056 
 5048 
 
 I 8 40 
 8 48 
 8 56 
 
 9 4 
 9 12 
 
 9- '7391 
 
 7474 
 
 1755^ 
 17641 
 
 I77 2 4 
 
 49 
 5i 
 
 S 2 
 54 
 55 
 
 10. 82609 
 
 82526 
 
 82442 
 
 82359 
 82276 
 
 9. 17080 
 
 17965 
 18051 
 18136 
 18221 
 
 50 
 52 
 53 
 55 
 56 
 
 io. 82120 
 
 2035 
 
 81949 
 81864 
 81779 
 
 io. 00489 
 00491 
 00493 
 00495 
 00497 
 
 
 9.99511 
 
 99509 
 
 99507 
 99505 
 9953 
 
 25 
 24 
 2 3 
 
 22 
 21 
 
 40 
 
 41 
 42 
 
 43 
 44 
 
 10 150 40 
 53 2 
 524 
 50 16 
 50 8 
 
 I 9 20 
 9 28 
 
 9 3 6 
 9 44 
 9 5 2 
 
 9- 17807 
 17890 
 
 17973 
 18055 
 
 18137 
 
 5& 
 58 
 
 I 9 
 61 
 
 62 
 
 10. 82195 
 82110 
 
 82027 
 
 81945 
 81863 
 
 9. 18306 
 18391 
 
 18475 
 18560 
 18644 
 
 58 
 
 0? 
 
 62 
 63 
 
 io. 81694 
 81609 
 
 81525 
 
 81440 
 
 81356 
 
 io. 00499 
 00501 
 
 00503 
 
 00505 
 00506 
 
 
 9- 995 01 
 99;f99 
 
 99497 
 
 99495 
 99494 
 
 20 
 19 
 
 18 
 
 17 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 10 50 o 
 49 5 2 
 49 44 
 49 3 6 
 49 28 
 
 I IO O 
 
 10 8 
 10 rt 
 10 24 
 10 32 
 
 9. 18220 
 18302 
 18383 
 18465 
 
 18547 
 
 63 
 65 
 66 
 68 
 69 
 
 10. 81780 
 81693 
 81617 
 
 81535 
 81453 
 
 9. 18728 
 18812 
 18896 
 
 18979 
 19063 
 
 65 
 66 
 68 
 69 
 7> 
 
 10. 81272 
 
 81188 
 81104 
 81021 
 
 80937 
 
 io. 00508 
 00510 
 00512 
 00514 
 00516 
 
 2 
 
 9- 99492 
 99490 
 99488 
 99486 
 99484 
 
 15 
 14 
 '3 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 54 
 
 10 49 20 
 49 12 
 49 4 
 4856 
 
 48 48 
 
 I 10 40 
 
 10 48 
 10 56 
 ii 4 
 
 II 12 
 
 9. 18628 
 18709 . 
 18790 
 18871 
 18952 
 
 71 
 72 
 
 73 
 
 75 
 76 
 
 io. 81372 
 81291 
 81210 
 81129 
 81048 
 
 9. 19146 
 19229 
 19312 
 
 19395 
 19478 
 
 72 
 74 
 
 9 
 
 78 
 
 io. 80854 
 
 80771 
 
 80688 
 80605 
 80522 
 
 10.00518 
 00520 
 
 00522 
 
 00524 
 
 00526 
 
 2 
 2 
 2 
 
 2 
 2 
 
 9- 994 S 2 
 99480 
 
 994/8 
 99476 
 
 99474 
 
 10 
 
 6 
 
 55 
 56 
 
 H 
 
 59 
 60 
 
 10 48 40 
 4832 
 4 8 24 
 48 16 
 48 8 
 48 o 
 
 I II 20 
 II 28 
 II 36 
 
 II 44 
 II 52 
 
 12 
 
 9. 19033 
 19113 
 I9I93 
 19273 
 19353 
 '9433 
 
 7 
 79 
 80 
 82 
 83 
 85 
 
 io. 80967 
 80887 
 80807 
 80727 
 
 80647 
 80567 
 
 9- 19561 
 19643 
 19725 
 
 19807 
 19889 
 19971 
 
 79 
 Si 
 
 82 
 84 
 85 
 87 
 
 IO. 0439 
 
 80357 
 0275 
 
 80193 
 
 SOI I I 
 
 80029 
 
 io. 00528 
 
 00530 
 00532 
 
 534 
 00536 
 00538 
 
 2 
 
 2_ 
 2 
 2 
 
 2 
 2 
 
 9- 994/2 
 99479 
 99468 
 99466 
 
 99464 
 99462 
 
 5 
 4 
 3 
 
 2 
 I 
 
 
 
 M. 
 
 Hour p. M. 
 
 Hour A. !>:. 
 
 Conine. 
 
 Diff. 
 
 Secant 
 
 Cotangent. 
 
 Diff. 
 
 Tangent 
 
 Cosecant. 
 
 Diff. 
 
 Sine 
 
 M 
 
 98 81 
 
 186 
 
SINES, TANGENTS, AND SECANTS. 
 9 . 170 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 
 
 i 
 
 2 
 
 3 
 
 4 
 
 IO 48 O 
 47 S 2 
 4744 
 4736 
 4723 
 
 I 12 O 
 12 8 
 12 16 
 
 12-24 
 
 12 32 
 
 9- '9433 
 I95I3 
 19592 
 19672 
 1975' 
 
 O 
 
 I 
 
 3 
 4 
 5 
 
 10. 80567 
 
 80487 
 80408 
 80328 
 80249 
 
 9- '997' 
 20053 
 20134 
 2O2I6 
 20297 
 
 O 
 I 
 
 3 
 4 
 5 
 
 IO. 80029 
 
 79947 
 
 79865 
 
 79784 
 79703 
 
 IO. 00538 
 00540 
 00542 
 00544 
 00546 
 
 O 
 O 
 O 
 
 
 o 
 
 9- 99462 
 99460 
 99458 
 99456 
 99454 
 
 60 
 59 
 5 
 57 
 56 
 
 1 
 9 
 
 10 47 20 
 47 12 
 47 4 
 4656 
 46 48 
 
 I 12 40 
 12 48 
 12 56 
 13 4 
 '3 l2 
 
 9. 19830 
 
 19909 
 19988 
 
 20067 
 
 20145 
 
 6 
 8 
 9 
 
 10 
 
 ii 
 
 10. 80170 
 80091 
 80012 
 79933 
 
 79355 
 
 9- 20378 
 20459 
 20540 
 20621 
 20701 
 
 b 
 8 
 9 
 
 10 
 12 
 
 10. 79622 
 
 7954' 
 7946o 
 
 79379 
 79299 
 
 10. 00548 
 
 00550 
 00552 
 00554 
 00556 
 
 
 
 o 
 o 
 o 
 o 
 
 9. 99452 
 99450 
 99448 
 99446 
 99444 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 ii 
 
 12 
 13 
 
 >4 
 
 10 46 40 
 46 32 
 46 24 
 46 16 
 
 46 S 
 
 I 13 23 
 
 13 i3 
 '3 3 6 
 13 44 
 '3 52 
 
 9. 20223 
 
 20302 
 20380 
 
 20458 
 20535 
 
 13 
 H 
 
 5 
 16 
 
 18 
 
 10. 79777 
 79698 
 79620 
 79542 
 794 6 5 
 
 9. 20782 
 20862 
 20942 
 
 21022 
 2II02 
 
 '3 
 '4 
 
 10 
 
 17 
 
 18 
 
 10. 79218 
 79138 
 79058 
 78978 
 78898 
 
 10. 00558 
 00560 
 00562 
 
 00564 
 
 00566 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 9- 99442 
 99440 
 
 9943 8 
 99436 
 99434 
 
 5 
 49 
 48 
 
 47 
 46 
 
 II 
 
 11 
 
 19 
 
 10 45 o 
 45 52 
 45 44 
 45 36 
 4528 
 
 i 14 o 
 14 8 
 14 16 
 14 24 
 '4 32 
 
 9. 20613 
 - 20691 
 20768 
 
 20845 
 
 20922 
 
 '9 
 
 20 
 21 
 
 23 
 
 24 
 
 10. 79387 
 79309 
 79232 
 
 79155 
 79078 
 
 9. 2Il82 
 2I26I 
 21341 
 2I42O 
 21499 
 
 >9 
 
 21 
 22 
 23 
 
 25 
 
 10. 78818 
 
 78739 
 78659 
 78580 
 78501 
 
 10. 00568 
 
 00571 
 
 TO 573 
 00575 
 00577 
 
 
 9- 99432 
 99429 
 99427 
 99425 
 99423 
 
 45 
 44 
 43 
 4 2 
 4' 
 
 20 
 21 
 22 
 
 23 
 
 24 
 
 10 45 20 
 45 I2 
 45 4 
 4456 
 44 48 
 
 I 14 40 
 
 14 48 
 14 56 
 
 IS 4 
 
 I 5 12 
 
 9- 20999 
 21076 
 
 2"53 
 21229 
 21306 
 
 20 
 28 
 29 
 
 3 
 
 10. 79001 
 
 78924 
 78847 
 
 78771 
 
 78694 
 
 9.21578 
 21657 
 21736 
 21814 
 21893 
 
 26 
 
 27 
 28 
 
 3 
 
 31 
 
 10. 78422 
 
 78343 
 
 78264 
 78186 
 78107 
 
 10.00579 
 00581 
 00583 
 00585 
 00587 
 
 
 9- 994 2 ' 
 99419 
 994'7 
 994'5 
 99413 
 
 40 
 39 
 38 
 37 
 3 b 
 
 25 
 26 
 
 27 
 2S 
 
 29 
 
 10 44 40 
 44 3 2 
 44 24 
 44 '6 
 44 8 
 
 I Ij 20 
 15 28 
 
 5 3 6 
 '5 4-1 
 15 52 
 
 9. 21382 
 21458 
 
 21534 
 21610 
 21685 
 
 3' 
 33 
 
 34 
 35 
 37 
 
 10. 78618 
 
 78542 
 78466 
 78390 
 78315 
 
 9.21971 
 22049 
 22127 
 
 22205 
 22283 
 
 3 2 
 34 
 35 
 36 
 38 
 
 10. 78029 
 7795 ' 
 77S73 
 77795 
 77717 
 
 10. 00589 
 00591 
 
 593 
 00596 
 00598 
 
 
 9.99411 
 99409 
 99407 
 99404 
 99402 
 
 35 
 34 
 33 
 32 
 3' 
 
 3 
 3' 
 32 
 33 
 34 
 
 10 44 o 
 43 52 
 43 44 
 43 3 6 
 
 432S 
 
 i 16 o 
 16 8 
 16 16 
 
 16 24 
 16 32 
 
 9. 21761 
 21836 
 21912 
 21987 
 22062 
 
 38 
 39 
 40 
 42 
 
 43 
 
 lo. 78239 
 
 78164 
 78088 
 78013 
 
 7793 s 
 
 9. 22361 
 22438 
 22516 
 
 22593 
 22670 
 
 39 
 40 
 
 4 1 
 43 
 44 
 
 10. 77639 
 775 6 2 
 77484 
 77407 
 7733 
 
 10. 00600 
 00602 
 00604 
 00606 
 00608 
 
 
 9- 994oo 
 99398 
 99396 
 99394 
 99392 
 
 30 
 29 
 
 28 
 
 11 
 
 9 
 
 37 
 
 38 
 39 
 
 10 43 20 
 43 '2 
 43 4 
 42 56 
 
 4248 
 
 i 16 40 
 16 48 
 16 56 
 
 17 4 
 17 12 
 
 9.22137 
 
 222II 
 22286 
 22361 
 22435 
 
 44 
 45 
 47 
 48 
 49 
 
 10. 77863 
 77/Sg 
 777'4 
 7/639 
 77565 
 
 9- 22747 
 22824 
 22901 
 22977 
 2354 
 
 45 
 47 
 48 
 
 49 
 50 
 
 '- 7/253 
 77176 
 77099 
 77023 
 76946 
 
 10. 00610 
 00612 
 00615 
 00617 
 00619 
 
 
 9- 9939 
 993 S 8 
 993 S 5 
 99383 
 9938i 
 
 25 
 
 24 
 23 
 
 22 
 21 
 
 40 
 4' 
 42 
 43 
 
 44 
 
 i o 42 40 
 4232 
 42 24 
 42 16 
 42 8 
 
 I 17 20 
 17 28 
 17 36 
 
 17 44 
 17 52 
 
 9- 225 9 
 22583 
 22657 
 22731 
 22805 
 
 5 
 52 
 53 
 
 54 
 55 
 
 10. 77491 
 774'7 
 77343 
 7/269 
 
 77195 
 
 9.23130 
 23206 
 23283 
 23359 
 
 23435 
 
 52 
 
 53 
 
 ii 
 
 57 
 
 10. 76870 
 /6794 
 76717 
 76641 
 
 76565 
 
 10. 00&2I 
 
 00623 
 00625 
 00628 
 00630 
 
 2 
 
 2 
 
 9- 99379 
 99377 
 99375 
 99372 
 9937 
 
 20 
 
 '9 
 18 
 
 17 
 16 
 
 45 
 40 
 
 47 
 48 
 
 49 
 
 10 42 o 
 
 4' 52 
 
 41 44 
 
 4' 3 6 
 41 28 
 
 I 18 o 
 18 8 
 18 16 
 18 24 
 18 32 
 
 9. 2^878 
 22952 
 23025 
 23098 
 23171 
 
 P 
 
 59 
 60 
 62 
 
 10. 77122 
 77048 
 
 7 6 975 
 76902 
 76829 
 
 9.23510 
 23586 
 23661 
 
 23737 
 23812 
 
 58 
 60 
 61 
 62 
 63 
 
 10. 76490 
 
 76414 
 
 76339 
 76263 
 76188 
 
 10. 00632 
 
 00634 
 
 00636 
 00638 
 00641 
 
 2 
 2 
 
 2 
 2 
 2 
 
 9- 99368 
 99366 
 
 99364 
 99362 
 
 99359 
 
 '5 
 M 
 '3 
 
 12 
 11 
 
 5 
 5' 
 52 
 
 53 
 
 54 
 
 JO 41 20 
 4! 12 
 41 4 
 40 56 
 40 48 
 
 18 40 
 18 48 
 18 56 
 9 4 
 
 19 12 
 
 9- 23244 
 233"7 
 
 23390 
 23462 
 
 2 3S3< 
 
 63 
 64 
 
 65 
 67 
 68 
 
 10. 76756 
 76683 
 76610 
 
 76538 
 76465 
 
 9. 23887 
 23962 
 
 24037 
 24112 
 24186 
 
 65 
 66 
 
 67 
 69 
 
 7o 
 
 10. 76113 
 
 76-038 
 75963 
 758.88 
 
 75 S '4 
 
 10. 00643 
 
 00645 
 
 00647 
 00649 
 00652 
 
 2 
 2 
 2 
 2 
 2 
 
 99357 
 99355 
 99353 
 9935' 
 9934 s 
 
 10 
 
 9 
 8 
 
 6 
 
 55 
 5 6 
 
 H 
 g 
 
 10 40 40 
 
 4 32 
 40 24 
 40 16 
 40 8 
 40 o 
 
 I 19 2O 
 19 28 
 19 36 
 
 19 44 
 IQ 52 
 20 
 
 9- 23607 
 23679 
 23752 
 23823 
 
 23895 
 23967 
 
 69 
 7i 
 72 
 73 
 
 74 
 /6 
 
 'o- 76393 
 
 76321 
 76248 
 76177 
 76105 
 76033 
 
 9. 24261 
 
 24335 
 24410 
 24484 
 
 24558 
 24632 
 
 7' 
 73 
 
 74 
 75 
 76 
 7S 
 
 '0- 75739 
 75665 
 
 75590 
 755i6 
 75442 
 753 6S 
 
 10. 00654 
 00656 
 
 00658 
 
 00660 
 00663 
 00665 
 
 2 
 
 2 
 2 
 2 
 2 
 
 2 
 
 9- 99346 
 99344 
 99342 
 99340 
 99337 
 99335 
 
 5 
 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 99 80 
 
 187 
 
SINES, TANGENTS, AND SECANTS. 
 10 169 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent. 
 
 Secant. 
 
 Diff 
 
 Cosine. 
 
 M. 
 
 o 
 I 
 
 2 
 
 3 
 
 4 
 
 IO 40 o 
 3952 
 3944 
 3936 
 3928 
 
 I 2O o 
 
 20 8 
 20 16 
 20 24 
 
 20 32 
 
 9- 23967 
 24039 
 24110 
 24181 
 24253 
 
 
 I 
 
 2 
 
 3 
 
 5 
 
 10. 76033 
 75961 
 75890 
 75819 
 
 75747 
 
 9. 24632 
 24706 
 
 24779 
 24853 
 24926 
 
 
 I 
 
 2 
 
 4 
 5 
 
 lo. 75368 
 
 75294 
 75221 
 
 75147 
 7574 
 
 IO. 00665 
 00667 
 00669 
 00672 
 00674 
 
 O 
 
 O 
 
 O 
 
 9- 99335 
 99333 
 99331 
 99328 
 99326 
 
 60 
 
 59 
 58 
 57 
 56 
 
 1 
 9 
 
 10 39 20 
 39 12 
 39 4 
 3856 
 3848 
 
 I 20 40 
 2O 48 
 20 56 
 21 4 
 21 12 
 
 24395 
 24466 
 
 24536 
 24607 
 
 6 
 
 I 
 
 9 
 
 10 
 
 10. 75676 
 
 75534 
 75464 
 75393 
 
 9. 25000 
 
 25073 
 25H6 
 
 25219 
 
 25292 
 
 
 
 7 
 8 
 
 9, 
 ii 
 
 10. 75000 
 
 74927 
 74854 
 74781 
 74708 
 
 lo. 00676 
 00678 
 00681 
 00683 
 00685 
 
 o 
 a 
 
 
 
 o 
 
 o 
 
 9- 993 2 4 
 99322 
 
 993 '9 
 993'7 
 99315 
 
 35 
 
 53 
 2 
 <;i 
 
 IO 
 
 II 
 12 
 '3 
 14 
 
 10 38 40 
 3832 
 3824 
 38 16 
 38 8 
 
 I 21 20 
 21 28 
 21 36 
 
 21 44 
 
 21 52 
 
 9- 24677 
 24748 
 24818 
 24888 
 24958 
 
 ii 
 
 13 
 14 
 
 If 
 
 ia. 75323 
 
 75252 
 75182 
 75"2 
 
 75042 
 
 9. 25365 
 
 25437 
 25510 
 
 25582 
 25655 
 
 12 
 13 
 14 
 15 
 
 16 
 
 10. 74635 
 
 74563 
 74490 
 
 74418 
 
 74345 
 
 10. 00687 
 00690 
 00692 
 
 00694 
 00696 
 
 o 
 o 
 o 
 
 9-993I3 
 99310 
 99308 
 99306 
 99304 
 
 5 
 49 
 
 47 
 
 40 
 
 15 
 16 
 
 17 
 18 
 
 19 
 
 10 38 o 
 3752 
 3744 
 3736 
 3728 
 
 I 22 
 22 8 
 22 16 
 22 24 
 
 22 32 
 
 9. 25028 
 25098 
 25168 
 25237 
 
 ;i 
 
 19 
 
 20 
 
 22 
 
 10. 74972 
 74902 
 74832 
 74763 
 74693 
 
 9.25727 
 
 25799 
 25871 
 
 25943 
 26015 
 
 18 
 
 19 
 20 
 
 21 
 
 22 
 
 10. 74273 
 74201 
 74129 
 
 7457 
 73985 
 
 10. 00699 
 00701 
 
 00703 
 
 00706 
 00708 
 
 
 9- 995i 
 99299 
 99297 
 99294 
 99292 
 
 45 
 44 
 43 
 4^ 
 4: 
 
 30 
 21 
 22 
 23 
 24 
 
 10 37 20 
 37 12 
 37 4 
 3656 
 3648 
 
 I 22 40 
 22 48 
 22 56 
 
 23 4 
 
 23 12 
 
 9- 25376 
 25445 
 25514 
 
 25583 
 25652 
 
 24 
 
 2 
 
 27 
 
 10 74624 
 
 74555 
 74486 
 
 74417 
 
 74348 
 
 9. 26086 
 26158 
 26229 
 26301 
 
 26372 
 
 24 
 
 25 
 26 
 
 27 
 28 
 
 10. 75914 
 
 73771 
 
 73699 
 
 73628 
 
 10.00710 
 00712 
 
 00715 
 00717 
 
 00719 
 
 
 9. 99290 
 99288 
 99285 
 99283 
 99281 
 
 40 
 
 P 
 
 H 
 
 25 
 26 
 27 
 28 
 29 
 
 10 36 40 
 3632 
 36 24 
 3616 
 36 8 
 
 I 23 20 
 2 3 28 
 23 3 6 
 
 23 44 
 23 52 
 
 9.25721 
 25790 
 25858 
 25927 
 25995 
 
 3 
 31 
 
 32 
 
 33 
 
 10. 74279 
 74210 
 74142 
 
 74073 
 74005 
 
 9- 26443 
 26514 
 26585 
 26655 
 26726 
 
 29 
 31 
 32 
 
 33 
 34 
 
 10. 73557 
 73486 
 734I5 
 73345 
 73274 
 
 10. 00722 
 00724 
 00726 
 00729 
 00731 
 
 
 9.99278 
 99276 
 
 99274 
 99271 
 99269 
 
 35 
 34 
 33 
 32 
 
 3 
 
 32 
 33 
 34 
 
 10 36 o 
 35 5 2 
 3544 
 3536 
 3528 
 
 i 24 o 
 24 8 
 24 16 
 24 24 
 
 24 32 
 
 9. 26063 
 26131 
 26199 
 26267 
 
 34 
 
 ? 
 38 
 39 
 
 i- 73937 
 73869 
 73801 
 
 73733 
 73665 
 
 9- 26797 
 26867 
 
 26937 
 27008 
 27078 
 
 35 
 36 
 38 
 39 
 40 
 
 10. 73203 
 
 73 "33 
 73 6 3 
 72992 
 72922 
 
 lo. 00733 
 
 00736 
 00738 
 
 00740 
 
 00743 
 
 
 9- 99267 
 99264 
 99262 
 99260 
 99257 
 
 30 
 29 
 28 
 
 27 
 26 
 
 35 
 3 6 
 37 
 38 
 39 
 
 10 35 20 
 35 " 
 35 4 
 3456 
 3448 
 
 i 24 40 
 24 48 
 24 56 
 
 25 4 
 
 25 12 
 
 9- 26403 
 26470 
 26538 
 26605 
 26672 
 
 40 
 41 
 42 
 43 
 
 44 
 
 10. 73597 
 7353 
 73462 
 
 73395 
 73328 
 
 9. 27148 
 27218 
 
 27288 
 
 27357 
 
 27427 
 
 42 
 44 
 
 45 
 46 
 
 10. 72852 
 72782 
 72712 
 72643 
 
 72573 
 
 10. 00745 
 
 00748 
 00750 
 00752 
 00755 
 
 2 
 
 9- 99255 
 99252 
 99250 
 99248 
 99245 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 
 42 
 43 
 44 
 
 10 34 40 
 3432 
 3424 
 34 16 
 34 8 
 
 I 25 20 
 25 28 
 25 36 
 
 25 44 
 25 52 
 
 9- 26739 
 26806 
 26873 
 26940 
 27007 
 
 45 
 47 
 48 
 <9 
 5 
 
 10. 73261 
 73194 
 73127 
 73060 
 
 72993 
 
 9- 2/496 
 27566 
 27635 
 27704 
 27773 
 
 47 
 48 
 
 49 
 Si 
 
 52 
 
 10. 72504 
 
 72434 
 72365 
 
 72296 
 
 72227 
 
 10.00757 
 
 00759 
 
 00762 
 00764 
 
 00767 
 
 2 
 2 
 
 2 
 2 
 2 
 
 9- 99243 
 99241 
 
 99238 
 99236 
 
 99233 
 
 2O 
 19 
 
 IS 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 49 
 
 10 34 o 
 3352 
 3344 
 3336 
 3328 
 
 I 26 
 
 26 8 
 26 16 
 26 24 
 26 32 
 
 9- 27073 
 27140 
 27206 
 27273 
 27339 
 
 52 
 53 
 
 I 
 
 10. 72927 
 
 72860 
 72794 
 72727 
 
 72661 
 
 9. 27842 
 27911 
 27980 
 28049 
 28117 
 
 53 
 54 
 
 11 
 
 58 
 
 IO. 72 1 "jo 1 
 72089 
 72O2O 
 
 7I%I 
 71883 
 
 10.00769 
 
 00771 
 00774 
 00776 
 00779 
 
 2 
 2 
 2 
 2 
 
 2 
 
 9.99231 
 99229 
 99226 
 99224 
 99221 
 
 15 
 14 
 
 3 
 
 12 
 II 
 
 5 
 Si 
 
 52 
 
 53 
 54 
 
 10 33 20 
 33 12 
 33 4 
 32 56 
 3248 
 
 i 26 40 
 26 48 
 26 56 
 27 4 
 
 27 12 
 
 9. 27405 
 
 27471 
 27537 
 27602 
 27668 
 
 59 
 60 
 61 
 
 10. 72595 
 
 72529 
 72463 
 72398 
 72332 
 
 9.28186 
 28254 
 28323 
 28391 
 28459 
 
 00 
 
 61 
 
 62 
 63 
 
 16. 71814 
 
 71746 
 71677 
 
 71609 
 
 71541 
 
 10.00781 
 00783 
 00786 
 
 00788 
 
 00791 
 
 2 
 2 
 2 
 2 
 
 2 
 
 9.99219 
 
 99217 
 99214 
 99212 
 
 99209 
 
 30 
 
 6 
 
 U-\O t^-OO O O 
 IO U"> w in IOVO 
 
 10 32 40 
 
 3232 
 3224 
 32 16 
 32 8 
 32 o 
 
 I 27 2O 
 27 28 
 27 3 6 
 
 27 44 
 
 27 5 2 
 
 28 o 
 
 9- 27734 
 27799 
 27864 
 
 27930 
 
 2/995 
 28060 
 
 <>3 
 64 
 
 65 
 66 
 
 10. 72266 
 72201 
 
 72136 
 72070 
 72005 
 71940 
 
 9- 28527 
 
 28595 
 
 28662 
 28730 
 28798 
 28865 
 
 67 
 68 
 69 
 71 
 
 10. 7473 
 71405 
 
 7:338 
 71270 
 71202 
 7"3S 
 
 10. 00793 
 00796 
 00798 
 00800 
 00803 
 00805 
 
 2 
 2 
 2 
 2 
 2 
 2 
 
 9- 99-20? 
 99204 
 99202 
 99200 
 99197 
 99195 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour t. it. 
 
 Hour A.M. 
 
 Cosine. 
 
 Dint. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 100 79 
 
 Ibb 
 
SINES, TANGENTS, AND SECANTS. 
 11 ' 16cS 
 
 M. 
 
 Hour A. M. 
 
 Hour r i. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 I 
 
 2 
 
 3 
 4 
 
 IO 32 
 3 1 52 
 31 44 
 
 3' 36 
 
 3128 
 
 I 28 
 
 28 8 
 28 16 
 28 24 
 28 32 
 
 9. 28060 
 28125 
 28190 
 28254 
 28319 
 
 O 
 I 
 
 2 
 
 3 
 4 
 
 10. 71940 
 
 7'875 
 71810 
 71746 
 71681 
 
 9. 28865 
 
 28933 
 29000 
 29067 
 29134 
 
 O 
 
 I 
 2 
 
 3 
 
 4 
 
 10.71135 
 71067 
 71000 
 
 70933 
 
 70800 
 
 IO. 00805 
 00808 
 008 1 o 
 00813 
 00815 
 
 O 
 
 
 
 
 O 
 
 
 9.99195 
 99192 
 99190 
 99187 
 99185 
 
 Co 
 
 59 
 58 
 
 H 
 
 6 
 
 I 
 9 
 
 10 31 20 
 
 31 12 
 
 31 t 
 
 3056 
 3048 
 
 I 28 40 
 28 48 
 28 56 
 29 4 
 
 29 12 
 
 9- 28384 
 28448 
 28512 
 28577 
 28641 
 
 1 
 
 I 
 
 9 
 
 10. 71616 
 
 71552 
 
 71488 
 71423 
 
 7359 
 
 9. 29201 
 29268 
 
 29335 
 29402 
 29468 
 
 1 
 8 
 9 
 
 10 
 
 10. 70799 
 
 70732 
 70665 
 70598 
 70532 
 
 10.00818 
 
 OO22O 
 
 00^23 
 
 00825 
 
 C0o28 
 
 o 
 
 
 
 o 
 
 
 
 o 
 
 9.99182* 
 99180 
 99177 
 99175 
 99172 
 
 55 
 54 
 53 
 52 
 Si 
 
 10 
 ii 
 
 12 
 13 
 H 
 
 10 30 40 
 
 3032 
 
 3 24 
 30 16 
 
 3 8 
 
 I 29 20 
 29 28 
 
 29 36 
 29 44 
 
 29 52 
 
 9. 28705 
 28769 
 28833 
 28896 
 28960 
 
 IO 
 
 II 
 
 12 
 
 '3 
 
 14 
 
 10. 71295 
 71231 
 71167 
 71104 
 71040 
 
 9- 29535 
 29601 
 29668 
 
 29734 
 29800 
 
 II 
 
 12 
 
 '3 
 
 4 
 
 15 
 
 10. 70465 
 
 70399 
 70332 
 
 70266 
 70200 
 
 io. 00830 
 00833 
 00035 
 
 00838 
 
 00840 
 
 o 
 o 
 
 9.99170 
 99167 
 . 99165 
 99162 
 99160 
 
 50 
 49 
 48 
 47 
 46 
 
 5 
 
 16 
 
 12 
 
 19 
 
 10 30 o 
 29 52 
 2944 
 2936 
 29 28 
 
 i 30 o 
 30 8 
 30 16 
 30 24 
 
 3 32 
 
 9. 29024 
 ' 29087 
 29150 
 29214 
 29277 
 
 16 
 
 i? 
 18 
 
 19 
 
 20 
 
 10. 70976 
 
 70913 
 70050 
 70786 
 70723 
 
 9. 29866 
 29932 
 29998 
 30064 
 30130 
 
 10 
 
 11 
 19 
 
 20 
 
 10. 70134 
 
 70068 
 
 70002 
 
 69936 
 
 69870 
 
 lo. 00843 
 00845 
 00848 
 00850 
 00853 
 
 
 9-99I57 
 99155 
 99152 
 
 99150 
 99147 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 
 21 
 22 
 
 2 3 
 
 24 
 
 10 29 20 
 29 12 
 
 29 4 
 
 28 56 
 28 48 
 
 i 30 40 
 30 48 
 30 56 
 31 4 
 
 jl 12 
 
 9. 29340 
 
 29403 
 29466 
 29529 
 29591 
 
 21 
 
 22 
 23 
 
 24 
 
 25 
 
 10. 70660 
 
 70597 
 70534 
 70471 
 70409 
 
 9. 30195 
 30261 
 30326 
 30391 
 
 30457 
 
 22 
 23 
 24 
 
 2! 
 
 10. 69805 
 
 69739 
 69674 
 
 69609 
 
 69543 
 
 io. 00855 
 00858 
 
 00860 
 
 00863 
 00865 
 
 
 9.99145 
 99142 
 99140 
 
 99137 
 99135 
 
 40 
 39 
 38 
 37 
 36 
 
 25 
 26 
 27 
 28 
 29 
 
 10 28 40 
 
 2832 
 
 28 24 
 28 16 
 
 28 8 
 
 I 31 20 
 31 28 
 
 31 3 6 
 3' 44 
 
 3i 52 
 
 9- 29654 
 29716 
 
 29779 
 29841 
 29903 
 
 26 
 
 27 
 28 
 
 29 
 30 
 
 10. 70346 
 70284 
 70221 
 70159 
 70097 
 
 9- 30522 
 3 587 
 30652 
 30717 
 30782 
 
 27 
 28 
 
 29 
 30 
 31 
 
 10. 69478 
 
 69413 
 69348 
 
 69283 
 69218 
 
 io. 00868 
 00870 
 00873 
 00876 
 00878 
 
 
 9.99132 
 
 99130 
 99127 
 99124 
 99122 
 
 35 
 34 
 33 
 32 
 3i 
 
 3 
 
 3' 
 32 
 33 
 
 34 
 
 10 28 
 
 2752 
 2744 
 2736 
 
 27 28 
 
 I 32 o 
 32 8 
 3 2 16 
 32 24 
 32 32 
 
 9. 29966 
 30028 
 30090 
 30151 
 3 2I 3 
 
 31 
 32 
 
 33 
 34 
 35 
 
 10. 70034 
 
 69972 
 
 69910 
 
 69849 
 69787 
 
 9. 30846 
 30911 
 
 3975 
 31040 
 31104 
 
 32 
 
 33 
 35 
 36 
 37 
 
 10. 69154 
 69089 
 69025 
 68960 
 68896 
 
 io. ooSSi 
 
 00883 
 00886 
 00888 
 00891 
 
 
 9.99119 
 99117 
 99114 
 99112 
 99109 
 
 3 
 2 9 
 28 
 
 27 
 26 
 
 35 
 36 
 37 
 3S 
 39 
 
 IO 27 20 
 27 12 
 
 27 4 
 
 26 56 
 
 26 48 
 
 i 32 40 
 32 48 
 32 56 
 33 4 
 33 12 
 
 9.30275 
 3 336 
 30398 
 
 3459 
 30521 
 
 36 
 37 
 38 
 39 
 40 
 
 10. 69725 
 69664 
 69602 
 
 69541 
 69479 
 
 9.31168 
 3'233 
 3' 2 97 
 3'36i 
 31425 
 
 38 
 39 
 40 
 
 4i 
 42 
 
 10.68832 
 68767 
 68703 
 
 68639 
 68575 
 
 io. 00894 
 00896 
 00899 
 00901 
 00904 
 
 2 
 2 
 
 2 
 2 
 2 
 
 9. 99106 
 99104 
 99101 
 99099 
 99096 
 
 25 
 24 
 
 23 
 22 
 21 
 
 40 
 
 41 
 42 
 
 43 
 
 44 
 
 10 26 40 
 26 32 
 26 24 
 26 16 
 26 8 
 
 i 33 20 
 33 28 
 33 36 
 33 44 
 
 33 52 
 
 9- 35 82 
 30643 
 30704 
 30765 
 30826 
 
 4> 
 
 42 
 
 43 
 
 4 
 46 
 
 10. 69418 
 
 69357 
 
 69296 
 
 69235 
 69174 
 
 9- 3M89 
 31552 
 31616 
 
 31679 
 3'743 
 
 43 
 44 
 45 
 46 
 47 
 
 10. 68511 
 
 68448 
 68384 
 68321 
 68257 
 
 io. 00907 
 00909 
 00912 
 00914 
 00917 
 
 2 
 2 
 
 2 
 2 
 
 2 
 
 9-99093 
 99091 
 99088 
 99086 
 99083 
 
 20 
 
 : 9 8 
 17 
 
 16 
 
 4 
 46 
 
 47 
 48 
 
 49 
 
 IO 26 O 
 25 52 
 2544 
 2536 
 25 28 
 
 i 34 
 34 8 
 34 16 
 34 24 
 34 S 2 
 
 o. 30887 
 
 3947 
 31008 
 31068 
 31129 
 
 47 
 48 
 49 
 5 
 
 51 
 
 10.69113 
 69053 
 
 68992 
 
 68932 
 
 68871 
 
 9. 31806 
 31870 
 
 3'933 
 31996 
 3^59 
 
 49 
 5 
 51 
 
 S 2 
 
 53 
 
 10. 68194 
 68130 
 68067 
 68004 
 
 67941 
 
 io. 00920 
 00922 
 00925 
 00928 
 00930 
 
 
 
 2 
 2 
 2 
 2 
 
 9. 99080 
 99078 
 
 99075 
 99072 
 99070 
 
 5 
 4 
 13 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 
 54 
 
 to 25 20 
 
 25 12 
 
 2 5 4 
 
 24 56 
 2448 
 
 i 34 40 
 34 48 
 34 56 
 35 4 
 35 '2 
 
 9.31189 
 31250 
 3I3IO 
 3'37 
 3M30 
 
 52 
 53 
 54 
 55 
 
 5 6 
 
 10. 68Sn 
 68750 
 68690 
 68630 
 68570 
 
 9.32122 
 32185 
 32248 
 323" 
 32373 
 
 54 
 55 
 56 
 
 1 
 
 10. 67878 
 
 67815 
 
 67752 
 67689 
 67627 
 
 io. 00933 
 00936 
 00938 
 00941 
 00944 
 
 2 
 
 2 
 2 
 2 
 2 
 
 9-99067 
 99064 
 99062 
 99059 
 99056 
 
 10 
 
 9 
 8 
 
 6 
 
 9 
 
 57 
 S3 
 
 , 59 
 Go 
 
 10 24 40 
 
 2432 
 2424 
 
 24 16 
 24 8 
 24 o 
 
 i 35 eo 
 35 28 
 35 36 
 35 44 
 35 5 2 
 36 o 
 
 9. 31490 
 
 31549 
 31609 
 31669 
 31728 
 31788 
 
 H 
 59 
 60 
 61 
 62 
 
 10. 68510 
 68451 
 68391 
 
 68331 
 68272 
 68212 
 
 9- 32436 
 32498 
 32561 
 32623 
 32685 
 32747 
 
 59 
 60 
 61 
 
 I 3 
 64 
 
 65 
 
 io. 67564 
 
 67502 
 67439 
 67377 
 67315 
 67253 
 
 io. 00946 
 
 00949 
 00952 
 
 00954 
 
 00957 
 
 00960 
 
 2 
 
 2 
 2 
 2 
 3 
 
 3 
 
 9- 99054 
 99051 
 99048 
 99046 
 
 99043 
 99040 
 
 5 
 4 
 3 
 
 2 
 I 
 
 
 M 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 -otangeiu. 
 
 Diff 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 tf. 
 
 101 78 
 
 189 
 
SINES, TANGENTS, AND SECANTS. 
 12 161 
 
 M. 
 
 Hour A.M. 
 
 Hour F. M. 
 
 Sine. 
 
 Did 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent. 
 
 Secant. 
 
 Diff 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 IO 24 O 
 23 S 2 
 23 44 
 
 23 3 6 
 
 23 28 
 
 1 36 
 36 8 
 36 Iff 
 36 2 4 
 36 J2 
 
 9.31788 
 3^47 
 3'97 
 31966 
 32025 
 
 
 
 I 
 
 2 
 
 3 
 4 
 
 IO. 6^212 
 68153 
 68093 
 68034 
 67975 
 
 9- 32-747 
 32810 
 32872 
 3 2 933 
 32995 
 
 
 I 
 2 
 3 
 4 
 
 10. 67253 
 
 67190 
 67128 
 67067 
 67005 
 
 10. 00960 
 00962 
 00965 
 00968 
 00970 
 
 O 
 O 
 
 o 
 o 
 o 
 
 9- 99040 
 99038 
 
 99035 
 99032 
 99030 
 
 60 
 
 59 
 58 
 
 y 
 
 i 
 
 I 
 
 9 
 
 10 23 20 
 23 12 
 2 3 4 
 
 22 56 
 22 48 
 
 i 36 40 
 36 48 
 36 56 
 37 4 
 37 ' 2 
 
 9- 3 2o8 4 
 
 32143 
 
 32202 
 32261 
 32319 
 
 8 
 9 
 
 lo. 67916 
 
 67857 
 67798 
 67739 
 
 6760! 
 
 9- 3357 
 33"9 
 33180 
 33242 
 
 33303 
 
 6 
 
 9 
 
 10. 66943 
 66881 
 66820 
 66758 
 66697 
 
 10. 00973 
 00976 
 00978 
 00981 
 00984 
 
 o 
 o 
 o 
 o 
 o 
 
 9- 99027 
 99024 
 99022 
 99019 
 9.9016 
 
 55' 
 54 
 53 
 S 2 
 Si 
 
 10 
 
 11 
 
 12 
 
 '3 
 
 14 
 
 10 22 40 
 22 32 
 22 24 
 22 l6 
 22 8 
 
 i 37 20 
 37 28 
 37 36 
 37 44 
 37 52 
 
 9- 32378 
 32437 
 32495 
 32553 
 32612 
 
 10 
 10 
 
 II 
 
 12 
 
 '3 
 
 10. 67622 
 
 67563 
 67505 
 
 67447 
 67388 
 
 9- 333 6 5 
 33426 
 
 334S 7 
 33548 
 33609 
 
 10 
 
 ii 
 
 12 
 13 
 14 
 
 10. 66635 
 
 66574 
 66513 
 
 66452 
 66391 
 
 10. 00987 
 00989 
 00992 
 00995 
 
 00998 
 
 o 
 
 9- 99 I3 
 99011 
 99008 
 99005 
 99002 
 
 5 
 49 
 48 
 
 47 
 46 
 
 15 
 
 16 
 
 17 
 18 
 
 '9 
 
 IO 22 O 
 21 52 
 21 44 
 21 36 
 21 28 
 
 i 38 o 
 38 8 
 38 16 
 38 24 
 38 32 
 
 9- 326/0 
 32728 
 32786 
 
 32844 
 32902 
 
 H 
 
 15 
 16 
 
 ; 8 7 
 
 10. 67330 
 
 67272 
 67214 
 67156 
 
 67098 
 
 9- 33670 
 3373 1 
 33792 
 33853 
 33913 
 
 !i 
 
 i? 
 
 18 
 
 19 
 
 IO. 66330 
 
 66269 
 66208 
 66147 
 
 66087 
 
 10. OIOOO 
 
 01003 
 01006 
 01009 
 
 OIOII 
 
 
 9. 99000 
 
 98997 
 98994 
 98991 
 98989 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 22 
 
 2 3 
 
 24 
 
 IO 21 2O 
 21 12 
 
 21 4 
 2O 56 
 20 48 
 
 i 38 40 
 38 48 
 38 56 
 39 4 
 39 '2 
 
 9. 32960 
 33018 
 
 33 75 
 33133 
 33i9 
 
 19 
 20 
 
 21 
 
 22 
 23 
 
 10. 67040 
 66982 
 66925 
 
 66867 
 66810 
 
 9- 33974 
 34034 
 3495 
 34155 
 34215 
 
 20 
 
 21 
 22 
 
 2 3 
 
 24 
 
 10. 66026 
 65966 
 65905 
 65845 
 
 65785 
 
 lo. 01014 
 01017 
 
 OI020 
 OIO22 
 01025 
 
 
 9. 98986 
 98983 
 98980 
 98978 
 98975 
 
 40 
 
 39 
 38 
 37 
 36 
 
 2 5 
 26 
 
 27 
 28 
 29 
 
 I o 20 40 
 
 20 32 
 2O 24 
 26 l6 
 20 8 
 
 i 39 20 
 39 28 
 39 3 
 39 44 
 39 52 
 
 9- 33 2 48 
 3335 
 33362 
 334 2 o 
 33477 
 
 24 
 25 
 2O 
 
 27 
 28 
 
 10. 66752 
 
 66695 
 66638 
 66580 
 66523 
 
 9-342/13 
 34336 
 34396 
 34456 
 345I 6 
 
 25 
 26 
 
 27 
 28 
 
 29 
 
 lo. 65724 
 
 65664 
 
 65604 
 
 65544 
 65484 
 
 10.01028 
 OI03I 
 
 OI33 
 01036 
 01039 
 
 
 9- 98972 
 98969 
 
 98967 
 98964 
 98961 
 
 35 
 34 
 33 
 S 2 
 V 
 
 3 
 3' 
 32 
 33 
 34 
 
 IO 20 O 
 
 195 2 
 1944 
 1936 
 1928 
 
 I 40 o 
 40 8 
 40 16 
 40 24 
 40 32 
 
 9- 33534 
 33591 
 33 ( H7 
 33704 
 3376i 
 
 2 9 
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 3 
 3i 
 32 
 
 IO. 66466 
 66409 
 
 66353 
 
 66296 
 4)6239 
 
 9-34576 
 34635 
 34695 
 34755 
 34814 
 
 3 
 3' 
 S 2 
 33 
 
 34 
 
 10. 65424 
 
 65365 
 65305 
 65245 
 65186 
 
 10. 01042 
 01045 
 01047 
 01050 
 01053 
 
 2 
 
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 9- 98958 
 98955 
 98953 
 98950 
 98947 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 36 
 37 
 38 
 39 
 
 10 19 20 
 19 12 
 
 19 4 
 18 56 
 18 48 
 
 i 40 40 
 40 48 
 40 56 
 41 4 
 
 4! 12 
 
 9- 33 s ' s 
 33 S 74 
 33931 
 33987 
 
 3443 
 
 33 
 
 34 
 
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 37 
 
 10. 66 1 02 
 
 66126 
 
 66069 
 
 60013 
 65957 
 
 9- 34S74 
 34933 
 3499 2 
 35051 
 35"i 
 
 S 
 
 $ 
 
 39 
 
 10. 65126 
 
 65067 
 65008 
 
 64949 
 
 64889 
 
 10. 01056 
 01059 
 01062 
 01064 
 
 01067 
 
 2 
 2 
 2 
 2 
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 9- 98944 
 98941 
 98938 
 98936 
 
 9 S 933 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4i 
 42 
 43 
 
 44 
 
 10 18 40 
 1832 
 18 24 
 18 16 
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 I 41 20 
 41 28 
 
 4' 36 
 41 44 
 
 41 S 2 
 
 9. 34100 
 34156 
 34212 
 34268 
 34324 
 
 38 
 39 
 40 
 
 41 
 42 
 
 10. 65900 
 65844 
 
 65788 
 
 65732 
 65676 
 
 9-35I70 
 35229 
 35288 
 
 35347 
 3545 
 
 40 
 41 
 42 
 43 
 44 
 
 lo. 64830 
 
 64771 
 64712 
 64653 
 64595 
 
 10. 01070 
 
 01073 
 
 01076 
 01079 
 01081 
 
 2 
 2 
 
 2 
 2 
 
 2 
 
 9- 9893 
 9 S 927 
 98924 
 98921 
 9 S 9I9 
 
 20 
 19 
 
 18 
 
 7 
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 45 
 46 
 
 47 
 48 
 
 49 
 
 IO 18 O 
 
 1752 
 1744 
 
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 17 28 
 
 i 42 o 
 42 8 
 42 16 
 42 24 
 
 42 3 2 
 
 9- 3438o 
 3443- 
 34401 
 34547 
 34602 
 
 43 
 
 44 
 
 45 
 46 
 47 
 
 10. 63620 
 
 65564 
 65509 
 65453 
 65398 
 
 9- 35464 
 35523 
 355Si 
 35 6 40 
 
 35698 
 
 4 I 
 46 
 
 47 
 48 
 
 49 
 
 10. 64536 
 
 64477 
 64419 
 
 64360 
 
 64302 
 
 10. 01084 
 01087 
 01090 
 01093 
 01096 
 
 2 
 
 2 
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 9. 98916 
 
 98913 
 98910 
 
 98907 
 98904 
 
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 13 
 
 12 
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 5 
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 53 
 54 
 
 10 17 20 
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 1656 
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 42 48 
 42 56 
 43 4 
 43 12 
 
 9- 34 6 5 S 
 34713 
 347 6 9 
 34 82 4 
 34879 
 
 48 
 48 
 49 
 50 
 51 
 
 10. 65342 
 
 65287 
 65231 
 65176 
 
 65121 
 
 9-35757 
 35SI5 
 35873 
 3593' 
 35989 
 
 5 
 Si 
 S 2 
 53 
 54 
 
 10. 64243 
 64185 
 64127 
 
 64069 
 64011 
 
 10. 01099 
 
 01 102 
 OII04 
 OII07 
 
 oiuo 
 
 2 
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 2 
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 3 
 
 9. 98901 
 98898 
 98896 
 
 98893 
 98890 
 
 10 
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 55 
 56 
 57 
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 59 
 60 
 
 10 16 40 
 16 32 
 16 24 
 16 16 
 16 8 
 16 o 
 
 I 43 20 
 43 28 
 43 36 
 43 44 
 43 52 
 44 
 
 9- 34934 
 34989 
 3544 
 3599 
 35154 
 35209 
 
 S 2 
 53 
 54 
 55- 
 56 
 57 
 
 10. 65066 
 65011 
 
 64956 
 
 64901 
 
 64846 
 64791 
 
 9- 36047 
 36105 
 36163 
 36221 
 36279 
 36336 
 
 55 
 56 
 57 
 58 
 
 59 
 60 
 
 10- 63953 
 63895 
 
 t>337 
 63779 
 63721 
 63664 
 
 10. 01113 
 
 OI5S6 
 
 01119 
 
 01 122 
 OII25 
 OII28 
 
 3 
 3 
 3 
 3 
 3 
 3 
 
 9. 9 SS8T 
 98884 
 oSSSi 
 98878 
 
 98875 
 98872 
 
 S 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour r. M. 
 
 Hour A. in. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 102 77 
 
 190 
 
SINES, TANGENTS, AND SECANTS. 
 13 166 
 
 M. 
 
 Hour A . 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant: 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 2 
 
 3 
 4 
 
 JO 16 
 
 IS S 2 
 15 44 
 
 5 36 
 15 28 
 
 I 44 o 
 
 44 8 
 
 44 16 
 44 24 
 44 3 2 
 
 9- 35209 
 35261 
 
 35318 
 35373 
 
 35427 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 10. 64791 
 
 64737 
 64682 
 64627 
 64573 
 
 9- 36336 
 36394 
 3 6 452 
 3 6 59 
 36566 
 
 O 
 
 I 
 2 
 
 3 
 
 4 
 
 10. 63664 
 
 63606 
 63548 
 63491 
 6.V134 
 
 IO. 01 1 28 
 01131 
 
 "33 
 01136 
 01139 
 
 O 
 o 
 O 
 
 o 
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 9. 98872 
 98869 
 98867 
 98864 
 98861 
 
 60 
 
 59 
 58 
 57 
 
 56 
 
 I 
 
 I 
 9 
 
 10 15 20 
 
 15 12 
 
 15 i 
 1456 
 
 1448 
 
 I 44 40 
 44 48 
 44 5 6 
 45 4 
 45 >2 
 
 9- 354i 
 35536 
 3559 
 35644 
 35^8 
 
 4 
 
 I 
 
 lo. 64519 
 
 64464 
 
 64410 
 
 64356 
 
 64302 
 
 9- 36624 
 3 66Si 
 
 36738 
 
 3 6 795 
 36852 
 
 i 
 
 6 
 
 8 7 
 
 10. 63376 
 
 633 1 9 
 63262 
 63205 
 63148 
 
 lo. 01142 
 
 01145 
 
 01148 
 oi 151 
 
 01154 
 
 o 
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 o 
 o 
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 9. 9 SS 5 S 
 
 98855 
 98852 
 98849 
 
 98846 
 
 55 
 54 
 53 
 52 
 5i 
 
 10 
 
 II 
 
 12 
 
 '3 
 
 14 
 
 10 14 40 
 
 1432 
 14 24 
 
 14 16 
 14 8 
 
 I 45 20 
 45 28 
 45 36 
 45 44 
 45 52 
 
 9-35752 
 35806 
 35860 
 359H 
 35968 
 
 9 
 
 IO 
 
 ii 
 ii 
 
 12 
 
 ID. 64248 
 64194 
 64140 
 64086 
 64032 
 
 9. 36909 
 36966 
 
 37023 
 37080 
 
 37137 
 
 9 
 
 IO 
 
 ii 
 
 12 
 13 
 
 10. 63091 
 
 63034 
 62977 
 62920 
 62863 
 
 io. 01157 
 01160 
 01163 
 01166 
 oi 169 
 
 
 9. 98843 
 
 98840 
 
 98837 
 98834 
 98831 
 
 So 
 
 4 1 
 48 
 
 4 I 
 
 
 11 
 17 
 
 18 
 9 
 
 10 14 o 
 >3 52 
 '344 
 
 13 3j> 
 13 ^8 
 
 I 46 o 
 46 8 
 46 16 
 46 24 
 46 32 
 
 9. 36022 
 
 36075 
 36129 
 36182 
 36236 
 
 '3 
 H 
 15 
 
 16 
 17 
 
 10. 63978 
 
 639 2 5 
 63871 
 63818 
 63764 
 
 9-37I93 
 37250 
 3736 
 37363 
 37419 
 
 14 
 15 
 
 16 
 II 
 
 10. 62807 
 
 62750 
 
 62694 
 
 62637 
 62581 
 
 io. 01172 
 
 01175 
 
 01178 
 oi 181 
 01184 
 
 
 9. 98828 
 
 98825 
 
 98822 
 98819 
 98816 
 
 45 
 44 
 43 
 
 42 
 41 
 
 20 
 21 
 22 
 
 23 
 24 
 
 10 13 20 
 
 13 12 
 
 13 I 
 
 12 56 
 
 12 48 
 
 I 46 40 
 46 48 
 46 56 
 47 4 
 47 '2 
 
 9. 36289 
 36342 
 3 6 395 
 3 6 449 
 36502 
 
 18 
 18 
 
 19 
 
 20 
 
 21 
 
 lo. 63711 
 
 63658 
 
 63605 
 
 63551 
 63498 
 
 9- 37476 
 37532 
 37588 
 
 37 6 44 
 37700 
 
 19 
 '9 
 
 20 
 21 
 
 22 
 
 10. 62524 
 
 62468 
 62412 
 
 62356 
 
 62300 
 
 io. 01187 
 01190 
 
 01193 
 
 01196 
 01199 
 
 
 9.98813 
 98810 
 98807 
 08804 
 
 98801 
 
 40 
 
 38 
 
 37 
 36 
 
 % 
 
 11 
 29 
 
 10 12 40 
 12 32 
 12 24 
 12 l6 
 12 8 
 
 I 47 20 
 47 28 
 47 36 
 47 44 
 47 5 2 
 
 9- 3 6 555 
 36608 
 36660 
 
 36713 
 36766 
 
 22 
 23 
 24 
 25 
 25 
 
 10. 63445 
 6339 2 
 63340 
 63287 
 63234 
 
 9- 37756 
 37812 
 37868 
 
 37924 
 37980 
 
 23 
 24 
 25 
 26 
 2? 
 
 10. 62244 
 
 62188 
 62132 
 
 62076 
 
 62020 
 
 IO. 01202 
 OI205 
 OI208 
 OI2II 
 01214 
 
 
 9- 98798 
 98795 
 98792 
 98789 
 98786 
 
 35 
 34 
 33 
 32 
 3J 
 
 30 
 
 3' 
 32 
 33 
 
 34 
 
 IO 12 O 
 " 52 
 
 II 44 
 II 36 
 II 28 
 
 I 48 
 
 48 8 
 48 16 
 48 24 
 48 32 
 
 9-36819 
 36871 
 36924 
 .36976 
 37028 
 
 26 
 27 
 28 
 29 
 30 
 
 10. 63181 
 63129 
 
 6307,6 
 63024 
 62972 
 
 9- 3 So 35 
 38091 
 
 38H7 
 38202 
 
 S 82 57 
 
 28 
 29 
 
 3 
 31 
 
 32 
 
 10. 61965 
 61909 
 
 61853 
 
 61798 
 61743 
 
 10. 01217 
 
 OI22O 
 OI223 
 OI22 
 OI229 
 
 2 
 
 2 
 
 2 
 2 
 
 2 
 
 9. 98783 
 98780 
 9 S 777 
 98774 
 9 S 771 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 3 6 
 37 
 3 
 59 
 
 10 II 2O 
 II 12 
 II 4 
 10 56 
 10 48 
 
 i 48 40 
 48 48 
 48 50 
 
 49 4 
 49 12 
 
 9- 378i 
 37133 
 37i85 
 37237 
 37289 
 
 3' 
 
 32 
 S 2 
 
 33 
 34 
 
 10. 62919 
 
 62867 
 62815 
 62763 
 
 62711 
 
 9.3 8 3i3 
 38368 
 38423 
 38479 
 3 8 534 
 
 3 3 
 33 
 34 
 35 
 36 
 
 10. 61687 
 61632 
 61577 
 
 61521 
 61466 
 
 io. 01232 
 
 OI235 
 01238 
 OI24I 
 01244 
 
 2 
 
 2 
 2 
 2 
 2 
 
 9. 98768 
 
 9 s /65 
 98-62 
 
 98759 
 98756 
 
 25 
 
 2* 
 23 
 22 
 21 
 
 40 
 4i 
 42 
 43 
 44 
 
 10 10*40 
 10 32 
 10 24 
 10 16 
 10 8 
 
 I 49 20 
 49 28 
 49 3 6 
 49 44 
 49 52 
 
 9- 3734' 
 37393 
 37445 
 374-37 
 37549 
 
 35 
 36 
 
 3 
 
 39 
 
 10. 62659 
 62607 
 
 62555 
 62503 
 62451 
 
 9. 38589 
 38644 
 38699 
 
 38754 
 3 SSo8 
 
 % 
 
 39 
 40 
 
 41 
 
 10. 61411 
 
 61356 
 61301 
 61246 
 61 192 
 
 io. 01247 
 
 01250 
 01254 
 01257 
 Olr6o 
 
 2 
 
 2 
 2 
 2 
 2 
 
 9- 98/53 
 98750 
 98746 
 
 98743 
 98740 
 
 20 
 
 19 
 IS 
 
 17 
 16 
 
 4 
 46 
 
 47 
 
 48 
 
 49 
 
 IO 10 
 
 9 5 2 
 9 44 
 9 3 6 
 
 9 28 
 
 I 50 o 
 50 8 
 50 16 
 5 2 4 
 
 5 32 
 
 9-37600 
 37652 
 377=>3 
 37755 
 37806 
 
 39 
 40 
 
 41 
 
 42 
 
 43 
 
 10. 62400 
 
 62348 
 62297 
 62245 
 
 62194 
 
 9- 38863 
 38918 
 3 8 972 
 39027 
 39082 
 
 42 
 43 
 44 
 45 
 45 
 
 10.61137 
 61082 
 61028 
 60973 
 60918 
 
 io. 01263 
 01266 
 01269 
 01272 
 
 01275 
 
 2 
 
 2 
 2 
 2 
 
 2 
 
 9- 98737 
 98734 
 98731 
 98728 
 98725 
 
 15 
 >4 
 13 
 12 
 II 
 
 5 
 5 1 
 52 
 53 
 
 54 
 
 10 9 20 
 
 9 12 
 
 9 4 
 856 
 848 
 
 i 50 40 
 50 48 
 50 56 
 51 4 
 
 5 I 12 
 
 9- 3/3S8 
 37909 
 37960 
 38011 
 38062 
 
 44 
 
 4 I 
 46 
 
 47 
 47 
 
 lo. 62142 
 62091 
 62040 
 61989 
 61938 
 
 9- 39136 
 39190 
 
 39245 
 39299 
 39353 
 
 46 
 
 47 
 48 
 
 49 
 5 
 
 lo. 60864 
 
 60810 
 60755 
 
 60701 
 60647 
 
 IO. OI2/S 
 
 01281 
 01285 
 
 01 2S8 
 
 01291 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 98722 
 98719 
 
 98715 
 98712 
 98709 
 
 IO 
 
 6 
 
 55 
 5 6 
 57 
 58 
 
 I 9 
 60 
 
 to 8 40 
 832 
 824 
 8 16 
 8 8 
 8 o 
 
 I 51 20 
 51 28 
 
 5' S 6 
 5 1 44 
 
 5' 52 
 52 o 
 
 9-38113 
 38j6 4 
 38215 
 38266 
 
 38317 
 
 38368 
 
 48 
 49 
 5 
 Si 
 52 
 53 
 
 10. 61887 
 
 618^6 
 
 61785 
 
 61734 
 61683 
 
 61632 
 
 9- 39407 
 39461 
 39515 
 39569 
 39623 
 
 39677 
 
 51 
 52 
 53 
 
 54 
 55 
 56 
 
 lo. 60593 
 
 60539 
 
 60485 
 
 60431 
 
 60377 
 60323 
 
 io. 01294 
 
 01297 
 01300 
 
 01303 
 
 0130(3 
 01310 
 
 3 
 3 
 3 
 3 
 3 
 3 
 
 9. 98706 
 
 98703 
 98700 
 
 98697 
 98694 
 98690 
 
 5 
 4 
 3 
 
 2 
 
 I 
 O 
 
 M. 
 
 Hour v. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 103 76 
 
 191 
 
SINES, TANGENTS, AND SECANTS. 
 14 . 165 
 
 M. 
 
 Hour A. M. 
 
 Hour f. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 o 
 I 
 
 2 
 
 3 
 4 
 
 to 8 o 
 752 
 744 
 736 
 7 28 
 
 I 52 
 52 8 
 
 52 ID 
 52 24 
 S 2 32 
 
 9. 38368 
 38418 
 38469 
 3S5I9 
 3857 
 
 O 
 I 
 2 
 
 2 
 
 3 
 
 IO. 61632 
 61582 
 
 6l53 
 61481 
 
 61430 
 
 9- 39677 
 3973' 
 39/85 
 39838 
 39892 
 
 O 
 I 
 
 2 
 
 3 
 
 3 
 
 10. 60323 
 60269 
 60215 
 60162 
 60108 
 
 10.01310 
 
 0>3'3 
 01316 
 01319 
 01322 
 
 O 
 O 
 
 
 o 
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 9. 98690 
 98687 
 98684 
 98681 
 98678 
 
 60 
 59 
 
 58 
 
 57 
 56 
 
 i 
 
 9 
 
 10 7 20 
 7 12 
 
 7 4 
 656 
 648 
 
 I 52 40 
 S 2 48 
 52 56 
 53 4 
 53 12 
 
 9. 38620 
 38670 
 38721 
 
 3 8 77I 
 38821 
 
 4 
 
 I 
 
 7 
 7 
 
 10. 61380 
 
 61330 
 61279 
 
 61229 
 
 61179 
 
 9- 39945 
 39999 
 40052 
 40106 
 40159 
 
 4 
 I 
 
 io. 60055 
 60001 
 
 59948 
 59894 
 59841 
 
 10.01325 
 01329 
 01332 
 
 OI 335 
 01 338 
 
 o 
 o 
 o 
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 9. 98675 
 9 S6 7I 
 98668 
 98665 
 98662 
 
 55 
 54 
 53 
 S 2 
 5' 
 
 10 
 
 it 
 
 12 
 
 '3 
 
 14 
 
 10 6 40 
 
 632 
 6 24 
 616 
 6 8 
 
 i 53 20 
 53 28 
 53 36 
 53 44 
 53 52 
 
 9- 3 88 7i 
 38921 
 
 3 S 971 
 39021 
 
 39071 
 
 8 
 9 
 
 10 
 
 II 
 II 
 
 10. 61129 
 61079 
 61029 
 
 60979 
 6,0929 
 
 9. 40212 
 40266 
 40319 
 40372 
 40425 
 
 9 
 10 
 
 10 
 
 II 
 
 12 
 
 io. 59788 
 
 59734 
 59681 
 59628 
 59575 
 
 io. 01341 
 
 OI 344 
 01348 
 
 01351 
 
 '354 
 
 
 9- 98659 
 98656 
 98652 
 98649 
 98646 
 
 So 
 49 
 
 48 
 
 47 
 46 
 
 15 
 
 16 
 
 \l 
 
 "9 
 
 10 6 o 
 
 55 2 
 5 44 
 
 536 
 528 
 
 i 54 o 
 54 8 
 54 16 
 54 24 
 54 3 2 
 
 9.39121 
 
 39170 
 39220 
 39270 
 39319 
 
 12 
 
 '3 
 
 14 
 
 5 
 
 15 
 
 10. 60879 
 
 60830 
 
 60780 
 60730 
 60681 
 
 9. 40478 
 
 40531 
 40584 
 40636 
 40689 
 
 '3 
 
 14 
 
 \l 
 
 17 
 
 io. 59522 
 
 59469 
 59416 
 
 59364 
 593" 
 
 10.01357 
 
 01366 
 01364 
 01367 
 01370 
 
 
 9- 9 S6 43 
 98640 
 98636 
 
 98633 
 98630 
 
 45 
 44 
 43 
 42 
 
 41 
 
 20 
 
 21 
 22 
 23 
 24 
 
 10 5 20 
 5 12 
 5 4 
 
 456 
 448 
 
 i 54 40 
 54 48 
 54 S 6 
 55 4 
 55 '2 
 
 9- 3939 
 394'8 
 394 6 7 
 39517 
 39; 6 6 
 
 16 
 
 '7 
 
 18 
 
 19 
 
 20 
 
 10. 60631 
 60582 
 
 60533 
 60483 
 
 60434 
 
 9. 40742 
 40795' 
 40847 
 40900 
 40952 
 
 17 
 
 18 
 
 '9 
 20 
 
 21 
 
 io. 59258 
 59205 
 
 59>53 
 59100 
 
 59048 
 
 10.01373 
 
 01377 
 01380 
 
 oi3?3 
 01386 
 
 
 9. 98627 
 98623 
 98620 
 98617 
 98614 
 
 40 
 
 11 
 1 
 
 26 
 
 28 
 20 
 
 10 4 40 
 
 43 2 
 424 
 4 16 
 4 8 
 
 i 55 20 
 55 28 
 55 3 6 
 55 44 
 55 52 
 
 9.39615 
 39664 
 
 39713 
 39/62 
 39811 
 
 20 
 21 
 22 
 23 
 24 
 
 10. 60385 
 60336 
 60287 
 60238 
 60189 
 
 9.41005 
 41057 
 41109 
 41161 
 41214 
 
 22 
 23 
 23 
 24 
 
 25 
 
 io. 58995 
 
 5 S 943 
 58891 
 
 58839 
 58786 
 
 io. 01390 
 
 01393 
 01396 
 
 01399 
 01403 
 
 2 
 2 
 
 9. 98610 
 98607 
 98604 
 98601 
 98597 
 
 35 
 34 
 33 
 32 
 3' 
 
 3 
 
 31 
 
 -11 
 
 J- 
 
 33 
 
 34 
 
 10 4 o 
 352 
 344 
 336 
 328 
 
 i 56 o 
 56 8 
 56 16 
 56 24 
 56 32 
 
 9. 39860 
 39909 
 3995 s 
 40006 
 
 455 
 
 24 
 2 5 
 26 
 
 27 
 28 
 
 10. 60140 
 60091 
 60042 
 59994 
 59945 
 
 9. 41266 
 41318 
 
 41370 
 41422 
 
 4M74 
 
 26 
 
 27 
 28 
 
 19 
 
 3 
 
 I- 5 8 734 
 
 58682 
 58630 
 
 58578 
 58526 
 
 io. 01406 
 01409 
 014:2 
 01416 
 
 01419 
 
 2 
 2 
 
 2 
 2 
 2 
 
 9- 98594 
 98591 
 98588 
 985,84 
 98581 
 
 30 
 29 
 28 
 
 26 ? 
 
 3 , 5 
 36 
 
 37 
 3 
 39 
 
 10 3 20 
 3 12 
 
 3 4 
 
 256 
 
 2 48 
 
 i 56 40 
 56 48 
 56 56 
 57 4 
 57 12 
 
 9. 40103 
 40152 
 40200 
 40249 
 40297 
 
 2 9 
 29 
 30 
 
 3 
 
 3 2 
 
 10. 59897 
 59848 
 59800 
 59751 
 59703 
 
 9- 41526 
 41578 
 
 41629 
 41681 
 
 41731 
 
 3 
 31 
 32 
 33 
 
 34 
 
 io. 58474 
 58422 
 58371 
 58319 
 1:8267 
 
 io. 01422 
 01426 
 
 01429 
 01432 
 
 01 435 
 
 2 
 2 
 2 
 
 2 
 2 
 
 9.98578 
 
 98574 
 98571 
 98568 
 98565 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4' 
 
 4- 
 43 
 44 
 
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 232 
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SINES, TANGENTS, AND SECANTS. 
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SINES, TANGENTS, AND SECANTS. 
 
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 49 
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 17 
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 25 
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 19 
 
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 9- 49652 
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 49740 
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 19 
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 21 
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 20 
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 22 
 23 
 24 
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 29 
 
 28 
 
 27 
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 35 
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 9. 48014 
 48054 
 48094 
 48i33 
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 23 
 24 
 25 
 25 
 26 
 
 10. 51986 
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 51906 
 51867 
 51827 
 
 9- 50092 
 50136 
 50180 
 50223 
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 26 
 26 
 27 
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 49864 
 49820 
 
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 25 
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 22 
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 4 
 41 
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 43 
 
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 9 38 40 
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 9.48213 
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 48332 
 
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 27 
 27 
 
 28 
 
 29 
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 32 
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 02102 
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 37 
 37 
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 107 22 
 
 195 
 
SINES, TANGENTS, AND SECANTS. 
 18 161 
 
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 50576 
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 48352 
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 17 
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 43 
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 39 
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 26 
 
 27 
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 9- 4995 s 
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 16 
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 10. 50042 
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 21 
 
 22 
 22 
 
 23 
 
 24 
 
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 27 
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 35 
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 38 
 39 
 
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 10. 49664 
 49626 
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 49551 
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 9. 52661 
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 52787 
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 24 
 
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 26 
 
 27 
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 10- 47339 
 47297 
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 3 
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 9- 976/4 
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 25 
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 22 
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 4 
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 42 
 43 
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 9 3 4 
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 26 
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 49439 
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SINKS, TANGENTS, AND SECANTS. 
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 33 36 
 33 44 
 33 S 2 
 
 9.51629 
 
 51666 
 51702 
 5 '738 
 5 '774 
 
 5 
 
 7 
 
 8 
 
 10. 48371 
 
 48334 
 
 48298 
 
 48262 
 48226 
 
 9. 54106 
 
 54M7 
 54187 
 54228 
 54269 
 
 7 
 7 
 S 
 
 9 
 9 
 
 10. 45894 
 45853 
 45 s '3 
 45772 
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 10.02477 
 
 02481 
 
 02485 
 
 02490 
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 9- 95523 
 97519 
 
 975'5 
 97510 
 
 97506 
 
 5 
 49 
 48 
 
 47 
 46 
 
 3 
 
 17 
 
 18 
 19 
 
 9 26 o 
 
 25 S^ 
 25 44 
 25 36 
 
 25 28 
 
 2 34 o 
 34 8 
 34 16 
 34 24 
 34 32 
 
 9. 51811 
 51847 
 51883 
 51919 
 51955 
 
 9 
 10 
 10 
 ii 
 ii 
 
 10. 48189 
 
 48153 
 48117 
 48081 
 
 48045 
 
 9 5439 
 54350 
 5439 
 5443 1 
 5447' 
 
 10 
 
 II 
 II 
 
 12 
 
 '3 
 
 10. 45691 
 45650 
 45610 
 45569 
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 10. 02499 
 
 02503 
 
 02508 
 02512 
 02516 
 
 
 9- 975' 
 97497 
 97492 
 97488 
 97484 
 
 45 
 44 
 43 
 42 
 
 4J 
 
 20 
 21 
 22 
 23 
 '24 
 
 9 25 20 
 
 2 5 12 
 
 25 4 
 24 5 6 
 24 43 
 
 2 34 40 
 34 48 
 34 5 6 
 35 4 
 35 '2 
 
 9-5'99 1 
 52027 
 52063 
 
 52099 
 52135 
 
 12 
 
 12 
 
 '3 
 
 14 
 H 
 
 10. 48009 
 47973 
 47937 
 47901 
 47865 
 
 9.54512 
 
 54552 
 54593 
 54 6 33 
 54673 
 
 13 
 H 
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 10. 45488 
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 45407 
 45367 
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 10. 02521 
 
 02525 
 02530 
 
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 2 
 
 2 
 2 
 2 
 
 9- 97479 
 97475 
 97470 
 97466 
 97461 
 
 40 
 39 
 38 
 37 
 36 
 
 'I 
 26 
 
 27 
 28 
 29 
 
 9 24 4 
 24 32 
 24 24 
 24 16 
 24 8 
 
 2 35 20 
 35 28. 
 35 36 
 35 44 
 35 S 2 
 
 9.52171 
 52207 
 52242 
 52278 
 523H 
 
 '5 
 
 15 
 16 
 
 17 
 17 
 
 10. 47829 
 
 47793 
 47758 
 47722 
 47686 
 
 9-547H 
 54754 
 54794 
 54835 
 548/5 
 
 i? 
 17 
 
 18 
 19 
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 10. 45286 
 
 45246 
 45206 
 45165 
 45125 
 
 10. 02543 
 
 02547 
 02552 
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 2 
 2 
 2 
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 9-97457 
 
 97453 
 97448 
 
 97444 
 97439 
 
 35 
 34 
 33 
 32 
 3J 
 
 3 
 V 
 
 32 
 
 33 
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 9 24 o 
 23 52 
 23 44 
 23 3 6 
 23 28 
 
 2 36 
 
 36 8 
 36 16 
 36 24 
 3 6 32 
 
 9- 5235 
 52385 
 52421 
 
 52456 
 52492 
 
 18 
 iS 1 
 19 
 
 20 
 
 2O 
 
 10. 4/650 
 47 6I 5 
 47579 
 47544 
 47508 
 
 9-549I5 
 54955 
 54995 
 55035 
 55075 
 
 20 
 21 
 21 
 22 
 23 
 
 10. 45085 
 
 45045 
 45005 
 
 44965 
 44925 
 
 10. 02565 
 
 02570 
 02574 
 02579 
 02533 
 
 2 
 2 
 2 
 2 
 
 3 
 
 9- 97435 
 9743 
 97426 
 97421 
 97417 
 
 3 
 =9 
 28 
 
 27 
 26 
 
 35 
 36 
 
 9 
 
 39 
 
 9 23 20 
 
 23 12 
 
 23 t 
 22 56 
 
 22 48 
 
 2 36 40 
 
 36 48 
 36 56 
 
 37 4 
 
 37 12 
 
 9.52527 
 
 52563 
 52598 
 
 52634 
 52669 
 
 21 
 21 
 22 
 23 
 
 23 
 
 '0-47473 
 47437 
 47402 
 
 47366 
 4733 1 
 
 9.55"5 
 55155 
 55'95 
 
 55235 
 55275 
 
 23 
 24 
 
 25 
 25 
 26 
 
 10. 44885 
 
 44845 
 44805 
 
 44765 
 
 44725 
 
 10. 02588 
 
 02592 
 02597 
 
 02601 
 02606 
 
 3 
 3 
 3 
 3 
 3 
 
 9.97412 
 97408 
 97403 
 97399 
 97394 
 
 25 
 24 
 23 
 
 *2 
 
 21 
 
 40 
 
 41 
 42 
 43 
 44 
 
 9 22 40 
 22 32 
 22 Z4 
 22 l6 
 22 8 
 
 2 37 20 
 37 28 
 37 36 
 37 44 
 37 S 2 
 
 9. 52705 
 52740 
 
 52775 
 52811 
 52846 
 
 24 
 24 
 
 2 5 
 26 
 
 26 
 
 10. 47295 
 47260 
 47225 
 47189 
 
 47154 
 
 9-553'i 
 55355 
 55395 
 55434 
 55474 
 
 27 
 27 
 28 
 29 
 29 
 
 lo. 44685 
 
 44645 
 44605 
 44566 
 44526 
 
 10. 02610 
 02615 
 02619 
 02624 
 
 02628 
 
 3 
 3 
 3 
 3 
 3 
 
 9- 9739 
 97385 
 973Si 
 97376 
 
 97372 
 
 20 
 '9 
 
 18 
 
 \l 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 9 22 O 
 21 52 
 
 21 44 
 
 21 36 
 
 21 28 
 
 2 38 o 
 38 8 
 38 16 
 38 24 
 38 32 
 
 9- 52881 
 52916 
 52951 
 52986 
 532I 
 
 27 
 27 
 28 
 
 29 
 
 29 
 
 10. 47119 
 47084 
 47049 
 47014 
 46979 
 
 9-555'4 
 55554 
 55593 
 55 fa 33 
 55673 
 
 3 
 3i 
 3' 
 
 S 2 
 
 33 
 
 10. 44486 
 
 44446 
 44407 
 
 44367 
 44327 
 
 10. 02633 
 
 02637 
 02642 
 02647 
 02651 
 
 3 
 3 
 3 
 4 
 
 4 
 
 9- 97367 
 97363 
 9735^ 
 97353 
 97349 
 
 15 
 H 
 13 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 
 54 
 
 9 21 20 
 21 12 
 21 4 
 2O 56 
 2O 48 
 
 2 38 40 
 3 8 4 8 
 3856 
 
 39 4 
 
 39 '2 
 
 9- 53S6 
 53092 
 53 '26 
 53'6i 
 53196 
 
 3 
 3 
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 32 
 32 
 
 10. 46944 
 46908 
 
 46874 
 
 46839 
 46804 
 
 9.55712 
 55752 
 55791 
 55S3I 
 55870 
 
 33 
 
 34 
 35 
 
 % 
 
 10. 44288 
 44248 
 44209 
 44169 
 44130 
 
 10. 02656 
 02660 
 02665 
 02669 
 
 02674 
 
 4 
 4 
 4 
 4 
 4 
 
 9- 97344 
 97340 
 97335 
 97331 
 
 97'- 
 
 10 
 
 6 
 
 55 
 56 
 57 
 58 
 59 
 60 
 
 9 20 40 
 20 32 
 20 24 
 
 2O 10 
 20 8 
 
 20 o 
 
 2 39 20 
 39 28 
 39 36 
 39 44 
 39 52 
 40 o 
 
 9-5323I 
 53266 
 
 533 01 
 53336 
 5337 
 5345 
 
 33 
 33 
 
 34 
 34 
 
 35 
 36 
 
 10. 46769 
 
 46734 
 46699 
 46664 
 46630 
 46595 
 
 9.55910 
 55949 
 55989 
 56028 
 56067 
 56107 
 
 37 
 
 P 
 
 39 
 39 
 40 
 
 10. 44090 
 
 44051 
 
 44011 
 
 43972 
 
 43933 
 43893 
 
 10. 02678 
 
 02683 
 02688 
 02692 
 
 02697 
 
 02701 
 
 4 
 4 
 4 
 4 
 4 
 4 
 
 9- 973-2 
 973 '7 
 973" 2 
 9730S 
 97303 
 97-99 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Did 
 
 Secant. 
 
 Cotangent 
 
 Diff 
 
 Tangent. 
 
 Cosecant. 
 
 Diff 
 
 Sine. 
 
 M. 
 
 109 70 
 
 197 
 
SINES, TANGENTS, AND SECANTS. 
 '23 159 
 
 M. 
 
 HOUI 1 A. M. 
 
 flour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent. 
 
 Secant 
 
 Diff 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 
 2 
 
 3 
 4 
 
 9 20 o 
 
 19 52 
 
 19 44 
 
 '9 36 
 19 28 
 
 2 40 
 40 8 
 40 j6 
 40 24 
 40 32 
 
 9- 53405 
 53440 
 
 53475 
 
 53509 
 
 53544 
 
 O 
 I 
 I 
 
 2 
 2 
 
 10. 46595 
 46560 
 46525 
 46491 
 46456 
 
 9- 56107 
 56146 
 56185 
 56224 
 56264 
 
 O 
 I 
 I 
 
 2 
 3 
 
 10. 43893 
 43854 
 43815 
 43776 
 43736 
 
 10.02701 
 02706 
 02711 
 02715 
 02720 
 
 O 
 
 o 
 
 
 
 
 
 o 
 
 9/97299 
 
 97294 
 97289 
 
 97285 
 97280 
 
 60 
 
 59 
 58 
 57 
 56 
 
 I 
 
 8 
 9 
 
 9 19 20 
 
 19 1.2 
 
 19 4 
 18 56 
 18 48 
 
 2 40 40 
 4O 48 
 4 56 
 
 41 4 
 
 41 12 
 
 9-535}S~ 
 53613 
 
 53647 
 53682 
 
 537i6 
 
 6 
 .3 
 4 
 
 5 
 5 
 
 10. 46422 
 
 46387 
 
 46353 
 46318 
 
 46284 
 
 9- 56303 
 56342 
 56381 
 56420 
 56459 
 
 3 
 4 
 4 
 
 6 
 
 10. 43697 
 43658 
 43619 
 43580 
 43541 
 
 10.02724 
 02729 
 
 02734 
 02738 
 
 -02743 
 
 o 
 
 
 
 9.97276 
 97271 
 97266 
 97262 
 97257 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 II 
 
 12 
 13 
 14 
 
 9 18 40 
 18 32 
 18 24 
 18 16 
 18 8 
 
 2 4! 20 
 41 28 
 4' 36 
 
 41 44 
 4i 5 2 
 
 9-5375' 
 
 53785 
 53 8 '9 
 53 8 54 
 53888 
 
 6 
 6 
 
 7 
 
 8 
 
 lo. 46249 
 
 46215 
 46181 
 46146 
 46112 
 
 9- 56498 
 
 S ^ 53 7 
 565/6 
 
 56615 
 56654 
 
 6 
 
 8 
 9 
 
 10. 43502 
 
 43463 
 43424 
 
 43385 
 
 43346 
 
 10. 02748 
 
 02752 
 02757 
 
 02762 
 02766 
 
 
 9.97252 
 97248 
 97243 
 97238 
 97234 
 
 50 
 
 49 
 48 
 
 47 
 46 
 
 15 
 
 16 
 
 17 
 18 
 
 19 
 
 9 18 o 
 17 52 
 17 44 
 17 36 
 
 17 28 
 
 2 42 
 
 42 8 
 
 42 16 
 42 24 
 42 32 
 
 9. 53922 
 53957 
 5399' 
 54 2 5 
 5459 
 
 8 
 
 9 
 10 
 10 
 ii 
 
 10. 46078 
 
 46043 
 
 46009 
 45975 
 45941 
 
 9- 5 6 693 
 56732 
 567/1 
 56810 
 56849 
 
 10 
 10 
 ii 
 
 12 
 12 
 
 10. 43307 
 43268 
 43229 
 43190 
 43151 
 
 10. 02771 
 
 02776 
 02780 
 
 02785 
 
 02790 
 
 
 9. 97229 
 
 97224 
 97220 
 
 97215 
 97210 
 
 45 
 44 
 43 
 42 
 4' 
 
 2O 
 
 21 
 *> > 
 
 2 3 
 24 
 
 9 17 20 
 
 17 12 
 
 '7 4 
 
 16 56 
 16 48 
 
 2 42 40 
 42 48 
 
 42 5 6 
 43 4 
 43 I 2 
 
 9- 54093 
 541^7 
 54161 
 
 54195 
 54229 
 
 ii 
 
 12 
 12 
 "3 
 
 H 
 
 10. 45907 
 45873 
 45839 
 45805 
 4577" 
 
 9- 56887 
 56926 
 
 56965 
 57004 
 57042 
 
 '3 
 '3 
 '4 
 '5 
 >5 
 
 10.43113 
 43074 
 43035 
 42996 
 42958 
 
 10. 02794 
 
 02799 
 
 02804 
 02808 
 02813 
 
 2 
 2 
 
 2 
 
 2 
 2 
 
 9. 97206 
 97201 
 
 97196 
 97192 
 97187 
 
 40 
 
 "3Q 
 3^ 
 
 37 
 36 
 
 25 
 26 
 27 
 
 28 
 
 29 
 
 9 16 40 
 16 32 
 16 24 
 16 16 
 16 8 
 
 2 43 20 
 43 28 
 
 43 3^ 
 43 44 
 43 5 2 
 
 9- 54263 
 54297 
 5433' 
 54365 
 54399 
 
 14 
 15 
 
 11 
 
 16 
 
 10-45737 
 45703 
 45669 
 
 45635 
 45601 
 
 9.57081 
 57120 
 57158 
 57'97 
 57235 
 
 ib 
 17 
 
 II 
 
 '9 
 
 to. 42919 
 
 42880- 
 
 42842 
 42803 
 
 42765 
 
 10.02818 
 02822 
 02827 
 02832 
 02837 
 
 2 
 2 
 2 
 2 
 2 
 
 9.97182 
 97178 
 
 97173 
 97168 
 
 97163 
 
 35 
 34 
 33 
 32 
 3' 
 
 3 
 3' 
 
 3- 
 33 
 34 
 
 9 16 o 
 15 52 
 '5 44 
 IS 36 
 
 15 28 
 
 2 44 o 
 44 8 
 
 44 16 
 44 24 
 44 3 2 
 
 9- 54433 
 54466 
 
 545 
 54534 
 54567 
 
 '7 
 17 
 18 
 
 19 
 
 '9 
 
 10. 45567 
 
 45534 
 45500 
 
 45466 
 45433 
 
 9-57274 
 573I 2 
 57351 
 57389 
 57428 
 
 "9 
 20 
 
 21 
 21 
 
 22 
 
 10.42726 
 42688 
 42649 
 
 42611 
 
 42572 
 
 10. 0284 1 
 
 02846 
 02851 
 
 02855 
 
 02860 
 
 2 
 2 
 3 
 
 3 
 3 
 
 9-97159 
 97>54 
 97M9 
 97145 
 97140 
 
 30 
 29 
 28 
 
 *l 
 
 26 
 
 35 
 30 
 
 H 
 
 39 
 
 9 15 20 
 
 15 12 
 
 15 1 
 
 14 56 
 
 14 48 
 
 2 44 40 
 44 .4 s 
 44 5 6 
 45 4 
 45 12 
 
 9. 54601 
 
 54635 
 54668 
 
 54 /o 2 
 54735 
 
 20 
 2O 
 21 
 21 
 22 
 
 10. 45399 
 45365 
 4S33 2 
 45298 
 
 45265 
 
 9-57466 
 57504 
 57543 
 5758i 
 576i9 
 
 22 
 2 3 
 24 
 24 
 
 25 
 
 JO. 42534 
 42496 
 42457 
 42419 
 42381 
 
 10. 02865 
 02870 
 02874 
 02879 
 02884 
 
 3 
 3 
 3 
 3 
 3 
 
 9-97I35 
 9713 
 97126. 
 97121 
 97116 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 
 42 
 43 
 
 <<4 
 
 9 H 4 
 H 32 
 14 24 
 14 16 
 
 14 8 
 
 2 45 20 
 45 28 
 45 36 
 45 44 
 45 5 2 
 
 9. 54769 
 
 54802 
 54836 
 54869 
 
 54903 
 
 23 
 23 
 24 
 24 
 25 
 
 10.45231 
 45198 
 45164 
 45'3' 
 
 4597 
 
 9- 57658 
 5/696 
 57734 
 57772 
 57810 
 
 26 
 6 
 27 
 28 
 28 
 
 10. 42342 
 
 42304 
 
 42266 
 42228 
 
 42190 
 
 10. 02889 
 02893 
 
 02898 
 02903 
 
 02908 
 
 3 
 3 
 3 
 3 
 3 
 
 9.97111 
 97107 
 97102 
 97097 
 97092 
 
 20 
 19 
 
 18 
 \l 
 
 45 
 <6 
 
 47 
 48 
 
 49- 
 
 9 14 o 
 
 '3 5 2 
 '3 44 
 13 36 
 13 28 
 
 2 46 O 
 
 46 8 
 46 16 
 46 24 
 46 3 2 
 
 9- 54936 
 54969 
 55003 
 55036 
 55069 
 
 3 
 
 26 
 27 
 28 
 
 10. 45064 
 4S03 1 
 44997 
 "44964 
 44931 
 
 9.57849 
 
 57S87 
 57925 
 57963 
 58001 
 
 29 
 30 
 30 
 
 3' 
 3' 
 
 10.42151 
 
 42113 
 42075 
 42037 
 41999 
 
 10. 02913 
 
 02917 
 
 02922 
 02927 
 
 02932 
 
 4. 
 4 
 4 
 4 
 4 
 
 9- 9/087 
 97083 
 97078 
 
 97073 
 97068 
 
 '5 
 
 54 
 '3 
 
 12 
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 50 
 5' 
 
 52, 
 53 
 54 
 
 9 '3 20 
 
 13 12 
 
 '3 4 
 
 12 56 
 12 48 
 
 2 46 40 
 46 48 
 46 56 
 
 47 4 
 47 '2 
 
 9.55102 
 55 '36 
 55169 
 55202 
 
 55235 
 
 28 
 
 29 
 29 
 30 
 
 30 
 
 10. 44898 
 44864 
 
 44831 
 44798 
 
 44765 
 
 9- 58039 
 58077 
 58115 
 
 58'53 
 58191 
 
 3 2 
 33 
 33 
 34 
 35 
 
 10. 41961 
 
 41923 
 41885 
 
 {M&47 
 41809 
 
 10. 02937 
 02941 
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 02951 
 
 02956 
 
 4 
 4 
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 9- 9/063 
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 97054 
 97049 
 
 97044 
 
 10 
 
 6 
 
 55 
 56 
 
 H 
 59 
 60 
 
 9 12 40 
 
 12 3 2 
 12 24 
 12 16 
 12 8 
 12 
 
 2 47 20 
 47 28 
 47 36 
 47 44 
 47 5 2 
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 9- 55268 
 553' 
 55334 
 55367 
 554oo 
 
 55433 
 
 31 
 32 
 32 
 
 33 
 33 
 34 
 
 10. 44732 
 
 44699 
 44666 
 
 44633 
 
 44600 
 
 44567 
 
 9. 58229 
 58267 
 58304 
 5834? 
 
 58380 
 58418 
 
 3 I 
 36 
 
 37 
 
 % 
 39 
 
 10.41771 
 4' 733 
 41696 
 41658 
 41620 
 41582 
 
 10.02961 
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 02975 
 
 02980 
 
 02985 
 
 4 
 4 
 4 
 5 
 5 
 5 
 
 9- 97039 
 97035 
 97030 
 97025 
 97020 
 97015 
 
 5 
 4 
 3 
 
 2 
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 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 110 69 
 
SINES, TANGENTS, AND SECANTS. 
 21 158 
 
 M. 
 
 Hour*. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Dlff.j Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 9 12 o 
 II 52 
 II 44 
 II 36 
 
 II 28 
 
 2 48 
 48 8 
 48 16 
 
 48 24 
 48 32 
 
 9- 55433 
 5S4 6 
 
 55499 
 55532 
 SSS&4 
 
 
 
 I 
 
 I 
 
 2 
 2 
 
 10. 44567 
 
 44534 
 44501 
 44468 
 44436 
 
 9. 58418 
 58455 
 58493 
 5853' 
 58569 
 
 O 
 I 
 
 I 
 2 
 2 
 
 10. 41582 
 
 41545 
 41507 
 
 41469 
 41431 
 
 IO. 02985 
 02990 
 02995 
 02999 
 03004 
 
 O 
 
 
 
 o 
 o 
 
 9.97015 
 9/OIO 
 97005 
 97001 
 96996 
 
 to 
 59 
 5 
 57 
 56 
 
 8 
 Q 
 
 9 II 20 
 
 II 12 
 
 II 4 
 
 10 56 
 10 4'J 
 
 2 48 40 
 4 8 48 
 48 5 6 
 
 49 4 
 
 49 '2 
 
 9- 55597 
 55630 
 55 66 3 
 55695 
 55728 
 
 3 
 
 3 
 4 
 4 
 
 5 
 
 10. 44403 
 443/0 
 44337 
 4435 
 
 44272 
 
 9. 58606 
 58644 
 58681 
 58719 
 
 58757 
 
 3 
 4 
 4 
 
 10.41394 
 41356 
 
 4I3I9 
 41281 
 
 41243 
 
 10. 03009 
 03014 
 03019 
 03024 
 03029 
 
 o 
 
 
 
 9. 96991 
 96986 
 96981 
 96975 
 96971 
 
 55 
 54 
 53 
 52 
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 10 
 
 ii 
 
 12 
 
 '3 
 
 H 
 
 9 10 40 
 lo 32 
 10 24 
 10 16 
 
 lo 8 
 
 2 49 20 
 49 28 
 43 3 5 
 49 44 
 49 52 
 
 9-55/61 
 
 55793 
 55826 
 55858 
 55891 
 
 I 
 
 6 
 
 7 
 
 7 
 
 ic. 44239 
 44207 
 
 44174 
 44142 
 44109 
 
 9- 58794 
 58832 
 58869 
 58907 
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 6 
 7 
 
 8 
 9 
 
 10. 41206 
 
 41168 
 41131 
 41093 
 
 41056 
 
 10. 03034 
 03038 
 
 03043 
 
 03048 
 353 
 
 
 9. 90966 
 96962 
 96957 
 
 96952 
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 50 
 
 "I 
 4 
 
 47 
 
 46 
 
 \i 
 
 17 
 
 18 
 9 
 
 9 10 o 
 9 52 
 9 44 
 9 36 
 
 9 2o 
 
 2 50 O 
 
 50 8 
 50 16 
 5 24 
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 9- 55923 
 55956 
 S598 
 56021 
 56053 
 
 8 
 9 
 9 
 
 10 
 10 
 
 10. 44077 
 
 44044 
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 43979 
 43947 
 
 9. 58981 
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 59094 
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 9 
 
 10 
 10 
 
 ii 
 
 12 
 
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 4093 1 
 40944 
 40906 
 40869 
 
 10. 03058 
 03063 
 03068 
 
 03073 
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 2 
 
 9- 9 & 942 
 96937 
 96932 
 
 96927 
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 45 
 44 
 43 
 
 42 
 
 41 
 
 20 
 21 
 22 
 
 23 
 2 4 
 
 9 9 20 
 9 12 
 
 9 4 
 
 856 
 
 8 48 
 
 2 50 40 
 50 48 
 
 5 56 
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 9. 56085 
 56118 
 56150 
 55iC2 
 56215 
 
 ii 
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 12 
 12 
 
 '3 
 
 10.43915 
 45882 
 
 43 8 50 
 43818 
 
 43785 
 
 9. 59168 
 59205 
 
 59243 
 59280 
 
 59317 
 
 12 
 13 
 
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 14 
 
 15 
 
 10. 40832 
 
 40795 
 40757 
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 40609 
 
 40571 
 
 40534 
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 10. 03083 
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 03097 
 
 03102 
 
 2 
 
 2 
 2 
 
 2 
 2 
 
 9.96917 
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 9 6 903 
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 40 
 
 11 
 
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 2 5 
 26 
 
 27 
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 29 
 
 9 8 40 
 8 32 
 8 24 
 8 16 
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 2 51 20 
 51 28 
 5' 3 6 
 
 5' 44 
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 9. 56247 
 56279 
 5631" 
 56343 
 56375 
 
 '3 
 '4 
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 15 
 
 ID 
 
 '0-43753 
 43721 
 4369 
 43657 
 43625 
 
 9- 59354 
 59391 
 59429 
 59466 
 
 5953 
 
 I! 
 
 17 
 
 7 
 
 18 
 
 10. 03107 
 
 031 12 
 03"7 
 03122 
 
 0.3127 
 
 2 
 2 
 
 2 
 2 
 2 
 
 9. 96893 
 96888 
 96883 
 96873 
 96873 
 
 35 
 3+ 
 33 
 32 
 3' 
 
 3 
 
 3' 
 
 3"- 
 33 
 
 34 
 
 980 
 
 7 52 
 7 44 
 7 36 
 7 28 
 
 2 52 O 
 
 52 8 
 52 16 
 S 2 24 
 5 2 32 
 
 9. 56408 
 56440 
 56472 
 56504 
 56536 
 
 10 
 17 
 
 11 
 
 iS 
 
 10. 43592 
 
 435 6 
 43528 
 
 4349 
 43464 
 
 9- 59540 
 59577 
 59614 
 
 59651 
 59688 
 
 '9 
 '9 
 
 20 
 2O 
 21 
 
 10. 404(30 
 
 40423 
 
 40386 
 
 40349 
 40312 
 
 10. 03132 
 
 03137 
 
 03142 
 
 03147 
 03152 
 
 2 
 
 3 
 3 
 3 
 
 3 
 
 9. 96868 
 96863 
 96^50 
 
 96853 
 96848 
 
 3 
 28 
 
 3 
 
 3| 
 36 
 37 
 3 3 
 39 
 
 9 7 20. 
 7 12 
 
 7 4 
 6 56 
 
 6 48 
 
 2 52 40 
 
 52 48 
 52 56 
 
 53 4 
 53 12 
 
 9-56568 
 
 56599 
 56631 
 56663 
 5669 1 
 
 19 
 19 
 
 20 
 2O 
 21 
 
 lo. 43432 
 434i 
 433 6 9 
 43337 
 43J05 
 
 9- 59725 
 59762 
 59799 
 59835 
 59872 
 
 22 
 22 
 23 
 23 
 24 
 
 10. 40275 
 40238 
 40201 
 40165 
 40128 
 
 10. 03157 
 03162 
 
 03167 
 03172 
 03177 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 96843 
 96838 
 
 9683? 
 96828 
 96823 
 
 25 
 24 
 23 
 
 22 
 21 
 
 4 
 4' 
 43 
 43 
 44 
 
 9 6 40 
 
 6 32 
 6 24 
 6 16 
 6 8 
 
 2 53 20 
 53 28 
 53 36 
 53 44 
 53 52 
 
 9- 5>/2 7 
 5J759 
 56790 
 56822 
 5|54 
 
 21 
 22 
 22 
 
 *3 
 
 2.1 
 
 IO-43273 
 43241 
 43210 
 43178 
 43 '46 
 
 9- 59909 
 59946 
 59983 
 00019 
 60056 
 
 25 
 
 11 
 27 
 
 27 
 
 10. 4.0091 
 
 40054 
 40017 
 
 39981 
 
 39944 
 
 10. 03103 
 
 03187 
 03192 
 03197 
 
 03202 
 
 3 
 3 
 3 
 4 
 
 4 
 
 9.96818 
 96813 
 96808 
 96803 
 96798 
 
 20 
 19 
 
 ii 
 
 45 
 46 
 
 8 
 
 49 
 
 960 
 
 5 52 
 5 44 
 5 36 
 5 28 
 
 2 54 o 
 54 8 
 54 "6 
 54 24 
 54 32 
 
 9. 50686 
 56917 
 
 56949 
 
 56902 
 57012 
 
 24 
 25 
 
 3 
 
 26 
 
 10.43114 
 43083 
 43051 
 43020 
 42988 
 
 9. 60093 
 60130 
 60 1 65 
 60203 
 60240 
 
 58 
 
 29 
 29 
 
 3 
 
 30 
 
 10. 39007 
 39370 
 39834 
 39797 
 397^0 
 
 10. 03207 
 03212 
 
 03217 
 
 03222 
 03228 
 
 4 
 4 
 4 
 
 4 
 4 
 
 9- 96793 
 96788 
 
 96781 
 96778 
 96772 
 
 15 
 u 
 3 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 
 54 
 
 9 5 a 
 
 5 " 
 
 4 56 
 4 48 
 
 2 54 40 
 54 48 
 54 56 
 55 4 
 55 '2 
 
 9-57044 
 57075 
 57107 
 57i3 
 57169 
 
 27 
 
 2 
 
 28 
 29 
 
 10. 42956 
 
 42925 
 42893 
 42862 
 42831 
 
 9. 602 70 
 
 60313 
 60349 
 60386 
 60.1.22 
 
 3' 
 3' 
 32 
 33 
 33 
 
 10. 39724 
 39687 
 39651 
 39614 
 39578 
 
 10. 03231 
 
 03238 
 03243 
 
 03248 
 
 03253 
 
 4 
 4 
 4 
 4 
 4 
 
 9.96767 
 96762 
 
 96757 
 96753 
 
 96747 
 
 10 
 I 
 
 55 
 56 
 
 IS 
 
 59 
 bo 
 
 9 4 40 
 4 32 
 
 4 2* 
 
 4 10 
 4 8 
 
 4 o 
 
 a 55 20 
 55 2 
 55 36 
 55 44 
 55 52 
 56 o 
 
 9-57201 
 57232 
 57264 
 57295 
 57326 
 57358 
 
 29 
 
 3 
 3 
 3> 
 
 33 
 
 32 
 
 10.42799 
 
 4 2 7 6 
 
 42736 
 42705 
 42674 
 42642 
 
 9- 60459 
 60495 
 60512 
 60568 
 60605 
 60641 
 
 34 
 35 
 
 9 
 
 36 
 37 
 
 10. 39541 
 
 3955 
 39468 
 
 39432 
 39395 
 39359 
 
 10. 03258 
 
 03263 
 03268 
 
 03273 
 03278 
 
 03283 
 
 5 
 5 
 S 
 
 5 
 5 
 
 5 
 
 9.96742 
 96737 
 96732 
 96727 
 96722 
 96717 
 
 5 
 4 
 3 
 
 2 
 1 
 
 
 M. 
 
 Hour r. M. 
 
 Hour A.M. 
 
 Cislr.3. 
 
 D15. Secant. 
 
 Cotangent. 
 
 DIC. 
 
 Tancer.1. J Cosecant. 
 
 Dia. 
 
 Slue. 
 
 It, 
 
 111 8 
 
22 
 
 SINES, TANGENTS, AND SECANTS. 
 
 isr 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Dirt. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 
 2 
 
 3 
 
 4 
 
 9 4 o 
 
 3 52 
 3 44 
 3 36 
 
 3 28 
 
 2 56 
 56 S 
 56 16 
 56 24 
 5 6 32 
 
 9- 5 735 s 
 573 8 9 
 574 2 o 
 57451 
 57482 
 
 
 
 I 
 
 I 
 2 
 2 
 
 10. 42642 
 42611 
 42580 
 
 42549 
 42518 
 
 9. 60641 
 
 60677 
 60714 
 60750 
 60786 
 
 O 
 
 I 
 
 I 
 
 2 
 2 
 
 10. 39359 
 
 39323 
 39286 
 39250 
 39214 
 
 10. 03283 
 03289 
 03294 
 ' 03299 
 03304 
 
 
 
 
 
 o 
 o 
 
 o 
 
 9.96717 
 96711 
 96706 
 96701 
 96696 
 
 60 
 
 59 
 5< 
 
 57 
 56 
 
 6 
 
 8 
 9 
 
 9 3 20 
 3 12 
 3 4 
 2 56 
 
 2 48 
 
 2 56 40 
 
 56 4* 
 5 6 S 6 
 57 4 
 57 12 
 
 9-575H 
 57545 
 57576 
 57507 
 
 57638 
 
 3 
 
 3 
 
 4 
 4 
 
 5 
 
 10. 42486 
 
 42455 
 42424 
 
 42393 
 42362 
 
 9. 60823 
 60859 
 60895 
 60931 
 60967 
 
 3 
 4 
 4 
 5 
 
 5 
 
 10.39177 
 39MI 
 39105 
 39069 
 3933 
 
 lo. 03309 
 033H 
 03319 
 03324 
 03330 
 
 o 
 
 9. 96691 
 96686 
 96681 
 96676 
 96670 
 
 55 
 54 
 53 
 S 2 
 5i 
 
 10 
 
 II 
 
 12 
 13 
 '4 
 
 9 2 40 
 
 2 3 2 
 2 2 4 
 2 l6 
 2 8 
 
 2 57 20 
 57 28 
 57 36 
 57 44 
 57 52 
 
 9.57669 
 577 
 5773' 
 57762 
 
 57793 
 
 I 
 6 
 
 7 
 7 
 
 10.42331 
 
 42300 
 42269 
 
 42238 
 42207 
 
 .9. 61004 
 61040 
 61076 
 6III2 
 61148 
 
 6 
 
 7 
 
 8 
 8 
 
 10. 38996 
 38960 
 
 38924 
 38888 
 38852 
 
 10- 03335 
 
 03340 
 03345 
 03350 
 03355 
 
 
 9. 96665 
 96660 
 96655 
 96650 
 96645 
 
 5 
 
 49 
 48 
 
 47 
 46 
 
 '5 
 
 16 
 
 17 
 
 18 
 
 '9 
 
 920 
 
 52 
 
 44 
 36 
 28 
 
 2 58 
 
 58 8 
 58 16 
 58 24 
 
 58 32 
 
 9.57824 
 
 57855 
 57885 
 579'6 
 57947 
 
 8 
 8 
 9 
 9 
 
 10 
 
 10. 42176 
 
 42145 
 42115 
 
 42084 
 
 42053 
 
 9. 61184 
 6l22O 
 61256 
 61292 
 61328 
 
 9 
 
 10 
 
 10 
 ii 
 ii 
 
 10. 38816 
 
 38780 
 
 38744 
 38708 
 
 38672 
 
 10. 03360 
 03366 
 
 03371 
 03376 
 03381 
 
 2 
 2 
 
 9. 96640 
 96634 
 96629 
 96624 
 96619 
 
 45 
 44 
 
 43 
 42 
 
 41 
 
 20 
 2\ 
 22 
 23 
 
 24 
 
 9 20 
 
 12 
 
 4 
 o 56 
 
 o 48 
 
 2 58 40 
 58 48 
 58 5^ 
 
 59 4 
 
 59 12 
 
 9-579/8 
 sSooS 
 58039 
 58070 
 58101 
 
 10 
 
 II 
 II 
 
 12 
 12 
 
 10. 42022 
 41992 
 
 41961 
 
 41930 
 41899 
 
 9.61364 
 61400 
 61436 
 61472 
 61508 
 
 12 
 13 
 13 
 H 
 
 H 
 
 10. 38636 
 
 38600 
 
 38564 
 38528 
 
 38492 
 
 10. 03386 
 
 03392 
 03397 
 
 03402 
 03407 
 
 2 
 2 
 2 
 2 
 2 
 
 9. 96614 
 96608 
 96603 
 96598 
 90593 
 
 40 
 39 
 38 
 37 
 
 3 
 
 25 
 26 
 
 27 
 28 
 2 9 
 
 9 o 40 
 o 32 
 o 24 
 
 O 10 
 
 o 8 
 
 2 59 20 
 59 2S 
 59 3 6 
 59 44 
 59 52 
 
 9. sSi }i 
 58162 
 58192 
 58223 
 58253 
 
 U 
 3 
 M 
 14 
 
 '5 
 
 10. 41869 
 
 41838 
 
 41808 
 
 41777 
 
 41747 
 
 9.61544 
 
 6 I579 
 61615 
 61651 
 61687 
 
 IS 
 
 11 
 
 17 
 17 
 
 10. 38456 
 
 38421 
 
 38385 
 
 38349 
 
 38313 
 
 10. 03412 
 
 03418 
 03423 
 
 03428 
 
 03433 
 
 2 
 2 
 
 2 
 
 2 
 
 3 
 
 9. 96588 
 96582 
 9 6 577 
 96572 
 96567 
 
 35 
 34 
 33 
 3 2 
 3i 
 
 3 
 3 1 
 32 
 33 
 
 34 
 
 900 
 8 59 52 
 59 44 
 59 3 6 
 59 28 
 
 300 
 o 8 
 ' o 16 
 o 24 
 o 32 
 
 9. 58284 
 583H 
 5 8 345 
 
 5 ! 37 I 
 58406 
 
 15 
 
 16 
 16 
 17 
 17 
 
 10. 41716 
 41686 
 
 41655 
 41625 
 
 41594 
 
 9. 61722 
 
 61758 
 61794 
 61830 
 61865 
 
 18 
 18 
 
 19 
 20 
 20 
 
 10. 38278 
 
 38242 
 38206 
 38170 
 
 38135 
 
 10. 03438 
 
 03444 
 03449 
 03454 
 03459 
 
 3 
 3 
 3 
 
 3 
 
 9. 96562 
 
 96"55 6 
 96551 
 96546 
 96541 
 
 30 
 
 29 
 
 28 
 
 27 
 26 
 
 9 
 
 H 
 
 39 
 
 8 59 20 
 59 12 
 59 4 
 
 S 56 
 58 48 
 
 3 o 40 
 o 48 
 o 56 
 4 
 
 12 
 
 9- 5843 6 
 58467 
 
 58497 
 58527 
 58557 
 
 18 
 18 
 19 
 '9 
 
 20 
 
 10. 41564 
 
 41533 
 41503 
 41473 
 41443 
 
 9. 6 1 90 1 
 61936 
 61972 
 62008 
 62043 
 
 21 
 21 
 
 22 
 23 
 23 
 
 10. 38099 
 
 38064 
 38028 
 37992 
 
 37957 
 
 10. 03465 
 
 03470 
 03475 
 
 03480 
 
 03486 
 
 3 
 3 
 3 
 3 
 3 
 
 9- 96535 
 9 6 530 
 96525 
 96520 
 96514 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 
 42 
 43 
 44 
 
 8 58 40 
 
 58 32 
 58 24 
 58 16 
 58 8 
 
 3 20 
 28 
 36 
 
 44 
 
 5 2 
 
 9. 58588 
 58618 
 58648 
 58678 
 58709 
 
 20 
 21 
 21 
 
 22 
 22 
 
 10. 41412 
 
 41382 
 41/52 
 41322 
 41291 
 
 9. 62079 
 62114 
 62150 
 6-2185 
 
 62221 
 
 24 
 24 
 25 
 26 
 
 26 
 
 lo. 37921 
 37886 
 37850 
 37815 
 37779 
 
 10. 03491 
 
 93496 
 03502 
 
 03507 
 03512 
 
 3 
 
 4 
 4 
 4 
 4 
 
 9- 96509 
 96504 
 96498 
 
 96493 
 
 96488 
 
 20 
 
 19 
 IS 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 8 58 o 
 
 57 5 2 
 57 44 
 57 36 
 57 28 
 
 320 
 
 2 8 
 2 16 
 2 24 
 
 2 32 
 
 9- 58739 
 58769 
 
 58799 
 58829 
 58859 
 
 23 
 23 
 
 2 4 
 24 
 
 25 
 
 lo. 41261 
 
 41231 
 
 41201 
 
 41171 
 41141 
 
 9. 62256 
 62292 
 62327 
 62362 
 62398 
 
 27 
 
 27 
 28 
 
 29 
 29 
 
 10. 37744 
 37708 
 37673 
 37638 
 37602 
 
 10.03517 
 
 03523 
 03528 
 03533 
 03539 
 
 4 
 4 
 4 
 4- 
 4 
 
 9- 96483 
 96477 
 96472 
 96467 
 96461 
 
 15 
 M 
 13 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 S4 
 
 8 57 20 
 57 12 
 57 4 
 56 56 
 56 48 
 
 3 2 40 
 2 48 
 2 56 
 
 3 4 
 3 12 
 
 9. 58889 
 5 s 9i9 
 58949' 
 589/9 
 
 "," >oq 
 
 25 
 26 
 
 26 
 27 
 27 
 
 10. 41111 
 41081 
 
 41051 
 
 41021 
 
 40991 
 
 9- 62433 
 62468 
 
 62504 
 
 62539 
 
 62574 
 
 3 
 3 
 31 
 32 
 
 S3 
 
 10.37567 
 37532 
 37496 
 37461 
 37426 
 
 lo. 03544 
 
 03549 
 
 03555 
 
 03560 
 
 03565 
 
 4 
 
 4 
 
 5 
 
 5 
 5 
 
 9- 96456 
 96451 
 
 96445 
 96440 
 
 96435 
 
 10 
 
 9 
 8 
 
 6 
 
 55 
 56 
 57 
 58 
 59 
 60 
 
 8 56 40 
 
 5 6 32 
 5 6 24 
 56 16 
 56 8 
 56 o 
 
 3 3 20 
 
 3*8 
 
 3 36 
 3 44 
 2, 52 
 4 
 
 9- 59039 
 59069 
 59098 
 59128 
 
 59158 
 59188 
 
 28 
 28 
 
 29 
 29 
 
 3 
 31 
 
 10. 40961 
 
 4093! 
 
 40902 
 
 40872 
 40842 
 
 40812 
 
 9. 62609 
 6:645 
 62680 
 62715 
 62750 
 62785 
 
 33 
 33 
 34 
 35 
 35 
 36 
 
 10. 37391 
 
 37355 
 37320 
 37285 
 37250 
 37215 
 
 10.03571 
 03576 
 03581 
 
 03587 
 03592 
 03597 
 
 5 
 5 
 5 
 5 
 
 5 
 5 
 
 9- 96429 
 96424 
 96419 
 
 96413 
 96408 
 
 96403 
 
 5 
 4 
 3 
 
 2 
 
 I 
 i 
 
 M. 
 
 Hour r. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff 
 
 Secant. 
 
 Cotangent 
 
 Diff 
 
 Tangent. 
 
 Cosecant. 
 
 Diff 
 
 Sine. 
 
 M. 
 
 112" 6* 
 
SINES, TANGENTS, AND SECANTS. 
 23 156 
 
 11. 
 
 I lour .\. M. 
 
 Hour t. ii. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Seen t. 
 
 Dlf. 
 
 Coanc. 
 
 11. 
 
 o 
 i 
 
 2 
 
 3 
 
 4 
 
 S 56 o 
 
 55 5 2 
 55 44 
 55 3 6 
 55 28 
 
 340 
 4 8 
 4 16 
 4 24 
 4 32 
 
 9. 59188 
 59218 
 59247 
 59277 
 5937 
 
 O 
 o 
 I 
 I 
 2 
 
 10. 40812 
 40782 
 40753 
 40723 
 40693 
 
 9.62785 
 62820 
 62855 
 62890 
 62926 
 
 O 
 I 
 I 
 
 2 
 
 2 
 
 10.37215 
 37180 
 
 37'45 
 37"o 
 37074 
 
 10. 03597 
 
 03603 
 03608 
 03613 
 03619 
 
 O 
 O 
 O 
 O 
 
 
 9- 96403 
 9 5 397 
 96392 
 06387 
 96381 
 
 Cry 
 59 
 53 
 57 
 56 
 
 I 
 
 8 ? 
 
 Q 
 
 8 55 20 
 
 55 > 2 
 55 4 
 54 56 
 
 54 48 
 
 3 4 40 
 4 48 
 4 5 6 
 5 4 
 5 '2 
 
 9- 5933 6 
 59366 
 59396 
 59425 
 59455 
 
 2 
 
 3 
 3 
 4 
 
 4 
 
 10. 40664 
 
 40634 
 
 40604 
 
 40575 
 40545 
 
 9. 62961 
 62996 
 
 63031 
 63066 
 63101 
 
 3 
 3 
 4 
 5 
 
 5 
 
 10. 37039 
 . 374 
 36969 
 
 3 6 934 
 36899 
 
 10. 03624 
 
 03630 
 
 03635 
 03640 
 03646 
 
 O 
 
 9- 963/6 
 96370 
 96365 
 96360 
 9 6 354 
 
 55 
 
 54 
 
 53 
 S 2 
 5' 
 
 10 
 II 
 12 
 
 13 
 
 14 
 
 S 54 40 
 54 32 
 54 24 
 54 16 
 
 54 8 
 
 3 5 20 
 5 28 
 5 3 6 
 5 44 
 5 52- 
 
 9. 59484 
 595H 
 59543 
 59573 
 59602 
 
 5 
 
 I 
 
 6 
 7 
 
 10.40516 
 40486 
 
 40457 
 40427 
 40398 
 
 9-63I35 
 63170 
 63205 
 63240 
 6 3275 
 
 6 
 6. 
 7 
 
 8 ? 
 
 10. 36865 
 36830 
 
 36795 
 36760 
 
 3 6 725 
 
 10. 03651 
 
 03657 
 
 03662 
 03667 
 
 03673 
 
 
 9- 96349 
 963-53 
 9633 
 
 96333 
 96327 
 
 5 
 
 49 
 
 < ; -> 
 
 47 
 46 
 
 15 
 
 Ib 
 
 17 
 18 
 19 
 
 8 54 o 
 53 52 
 53 44 
 53 3 6 
 53 28 
 
 360 
 6 8 
 6 16 
 6 24 
 632 
 
 9- 59 6 32 
 59661 
 59690 
 
 59720 
 59749 
 
 8 
 
 8 
 9 
 
 9 
 
 10. 40368 
 
 40339 
 40310 
 
 40280 
 
 40251 
 
 9.63310 
 63345 
 63379 
 634'4 
 63449 
 
 9 
 9 
 
 10 
 10 
 
 II 
 
 10. 36690 
 
 36655 
 
 36621 
 
 36586 
 36551 
 
 10. 03670 
 
 03684 
 03689 
 
 03695 
 
 03700 
 
 2 
 2 
 2 
 
 e- 963=2 
 96316 
 96311 
 
 96305 
 96300 
 
 45 
 <4 
 43 
 42 
 4' 
 
 20 
 21 
 
 23 
 24 
 
 8 53 20 
 53 12 
 53 4 
 52 5 6 
 52 48 
 
 3 6 40 
 6 48 
 6 56 
 7 4 
 
 7 2 
 
 9- 5977 s 
 59808 
 
 59837 
 59866 
 
 59895 
 
 10 
 10 
 ii 
 ii 
 
 12 
 
 10. 40222 
 40192 
 
 40163 
 40134 
 
 40105 
 
 9. 6348-4 
 635 '9 
 
 63553 
 63588 
 
 63623 
 
 12 
 12 
 13 
 13 
 H 
 
 10. 36516 
 
 36481 
 
 36447 
 36412 
 
 36377 
 
 10. 03706 
 
 03711 
 03716 
 03722 
 03727 
 
 2 
 2 
 2 
 2 
 2 
 
 9- 9 6 -94 
 96289 
 96284 
 96278 
 9 b 273 
 
 40 
 
 39 
 38 
 37 
 36 
 
 2 5 
 26 
 
 27 
 28 
 29 
 
 8 52 40 
 
 52 3 2 
 52 24 
 52 16 
 
 52 8 
 
 3 7 = 
 7 28 
 
 7 36 
 7 44 
 7 5 2 
 
 9- 59924 
 59954 
 59983 
 60012 
 60041 
 
 12 
 3 
 13 
 
 14 
 14 
 
 10. 40076 
 40046 
 40017 
 
 39988 
 
 39959 
 
 9.63657 
 63692 
 63726 
 63761 
 63796 
 
 H 
 IS 
 
 16 
 16 
 17 
 
 10. 3 b 343 
 
 36308 
 36274 
 36239 
 36204 
 
 10-03733 
 03738 
 03744 
 03749 
 03755 
 
 2 
 
 2 
 2 
 
 3 
 3 
 
 9. 96267 
 96262 
 96256 
 96251 
 96245 
 
 35 
 34 
 33 
 
 52 
 
 3 
 
 3 
 3i 
 3 2 
 33 
 34 
 
 8 52 o 
 51 52 
 51 44 
 
 5' 36 
 51 28 
 
 380 
 8 8 
 8 16 
 8 24 
 
 8 32 
 
 9. 60070 
 60099 
 60128 
 60157 
 6oiS6 
 
 '5 
 15 
 IS 
 
 16 
 16 
 
 10. 3993 
 39901 
 
 39872 
 39843 
 39814 
 
 9. 63830 
 63865 
 63899 
 
 63934 
 
 63968 
 
 i? 
 iS 
 18 
 19 
 
 20 
 
 10. 36170 
 
 36135 
 
 36101 
 36066 
 
 36032 
 
 10. 03760 
 03766 
 
 03771 
 03777 
 03782 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 96240 
 
 96234 
 962:9 
 96223 
 96218 
 
 3 
 29 
 28 
 
 2 7 
 
 26 
 
 35 
 3 6 
 
 H 
 39 
 
 8 51 20 
 
 51 12 
 
 5' 4 
 5 56 
 50 48 
 
 3 8 40 
 8 48 
 
 8 56 
 
 9 4 
 
 9 12 
 
 9. 60215 
 60244- 
 60273 
 60302 
 6033 1 
 
 17 
 17 
 18 
 18 
 19 
 
 10. 39785 
 
 3975 
 39J27 
 39698 
 
 39669 
 
 9. 64003 
 
 64037 
 64072 
 64106 
 64140 
 
 20 
 21 
 21 
 
 22 
 22 
 
 10. 35997 
 35963 
 35928 
 35894 
 35860 
 
 10. 03788 
 
 03793 
 03799 
 
 03804 
 03810 
 
 3 
 3 
 3 
 
 3 
 
 4 
 
 9. 96212 
 96207 
 96201 
 96196 
 96190 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 
 -: ; 
 
 8 50 40 
 5 o 2 
 50 24 
 50 16 
 50 8 
 
 3 9 20 
 9 28 
 9 3 6 
 9 44 
 9 52 
 
 9. 60359 
 60388 
 60417 
 
 60446' 
 60474 
 
 19 
 
 20 
 2O 
 21 
 21 
 
 10. 39641 
 39612 
 39583 
 39554 
 39526 
 
 9- 641 75 
 64209 
 
 64243 
 64278 
 -5 43 i2 
 
 23 
 24 
 2 4 
 25 
 25 
 
 10. 35825 
 3579" 
 35757 
 35722 
 35688 
 
 10. 03815 
 03821 
 03826 
 03832 
 
 03838 
 
 4 
 4 
 4 
 4 
 4 
 
 9. 96185 
 96179 
 96174 
 96168 
 96162 
 
 20 
 
 '9 
 
 18 
 
 7 
 16 
 
 45 
 
 4& 
 47 
 4 
 
 49 
 
 8 50 o 
 49 5 2 
 49 44 
 49 3 6 
 
 49 28 
 
 3 lo o 
 10 8 
 10 16 
 10 24 
 10 32 
 
 9- 60503 
 60532 
 60561 
 60589 
 
 60618 
 
 22 
 22 
 
 2 3 
 
 23 
 24 
 
 10. 39497 
 39468 
 
 39439 
 394 1 1 
 39382 
 
 9- 64346 
 64381 
 
 64415 
 64449 
 64483 
 
 26 
 26 
 
 2 7 
 28 
 
 28 
 
 10. 35654 
 356i9 
 
 35585 
 35551 
 35517 
 
 10. 03843 
 03849 
 
 03854 
 
 03860 
 03865 
 
 4 
 4 
 4 
 4 
 4 
 
 9.96157 
 96151 
 96146 
 96140 
 96135 
 
 '5 
 H 
 >3 
 
 12 
 II 
 
 5 C 
 5' 
 S^ 
 53 
 
 54 
 
 8 49 20 
 49 12 
 49 4 
 48 56 
 
 48 48 
 
 3 i 4 
 10 48 
 10 56 
 ii 4 
 
 II 12 
 
 9. 60646 
 60675 
 60704 
 60732 
 60761 
 
 24 
 
 25 
 
 25 
 20 
 26 
 
 10. 39354 
 
 39325 
 39296 
 
 39-68 
 39239 
 
 9.64517 
 64552 
 64586 
 64620 
 64654 
 
 29 
 29 
 
 3 
 3t 
 31 
 
 10. 35483 
 35448 
 
 354'4 
 
 353So 
 
 3534 6 
 
 10. 03871 
 
 03877 
 03882 
 03888 
 3 S 93 
 
 5 
 5 
 5 
 5 
 5 
 
 9. 96129 
 96123 
 96118 
 96112 
 96107 
 
 IO 
 
 ! 
 
 6 
 
 55 
 56 
 57 
 5 
 
 I 9 
 60 
 
 8 48 40 
 
 4 32 
 48 24 
 
 .-' i'. 
 48 8 
 
 48 
 
 3 II 20 
 II 28 
 II 36 
 
 11 44 
 II 52 
 
 12, O 
 
 9. 60789 
 60818 
 60846 
 60875 
 60903 
 60931 
 
 27 
 27 
 28 
 28 
 
 29 
 2 9 
 
 10. 39211 
 39182 
 
 39154 
 39125 
 39097 
 390 6 9 
 
 9. 64688 
 64722 
 64756 
 64790 
 64824 
 64858 
 
 S 2 
 32 
 33 
 33 
 34 
 35 
 
 IQ-353I2 
 35278 
 
 35244 
 35210 
 
 35176 
 35142 
 
 10. 03899 
 
 03905 
 
 03910 
 03916 
 03921 
 
 03927 
 
 5 
 5 
 
 5 
 5 
 
 Q. 96101 
 96095 
 96090 
 96084 
 96079 
 96073 
 
 5 
 4 
 3 
 
 2 
 
 : 
 o 
 
 M. 
 
 Hour t-. M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 113 66 
 
 201 
 
SINES, TANGENTS, AND SECANTS. 
 2* 155 
 
 M. 
 
 Hour A. M 
 
 Hour p. M 
 
 Sine. 
 
 Diff 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent 
 
 Secant 
 
 Diff 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 4 
 
 8 48 o 
 47 5 2 
 47 44 
 47 S 6 
 47 28 
 
 3 12 o 
 12 8 
 
 12 16 
 12 24 
 12 32 
 
 9. 60931 
 60960 
 60988 
 61016 
 61045 
 
 O 
 o 
 I 
 
 I 
 
 2 
 
 10. 39069 
 39040 
 39012 
 30984 
 38955 
 
 9. 648-8 
 64892 
 64926 
 64960 
 64994 
 
 
 
 I 
 I 
 2 
 2 
 
 10.35142 
 35108 
 
 3574 
 35040 
 35006 
 
 lo. 03927 
 
 03933 
 03938 
 03944 
 03950 
 
 O 
 
 
 o 
 o 
 o 
 
 9- 96073 
 96067 
 96062 
 96056 
 96050 
 
 60 
 
 9 
 
 I 
 
 8 
 9 
 
 8 47 20 
 47 12 
 47 4 
 46 56 
 46 48 
 
 3 '2 4 
 12 48 
 12 56 
 
 '3 4 
 13 12 
 
 9- 6l 73 
 61101 
 61129 
 61158 
 61186 
 
 2 
 
 3 
 3 
 4 
 4 
 
 10. 38927 
 
 38899 
 38871 
 38842 
 38814 
 
 9. 65028 
 65062 
 65096 
 65130 
 65164 
 
 3 
 3 
 
 4 
 4 
 
 s 
 
 10. 34972 
 34938 
 3494 
 34870 
 34836 
 
 10. 03955 
 03961 
 03966 
 03972 
 03978 
 
 o 
 
 ( 
 
 9. 96045 
 96039 
 06034 
 96028 
 96022 
 
 55 
 54 
 53 
 5 2 
 Si 
 
 10 
 it 
 
 22 
 '3 
 
 >4 
 
 8 46 40 
 46 32 
 46 24 
 46 16 
 46 8 
 
 3 J3 20 
 
 13 28 
 '3 36 
 
 '3 44 
 '3 52 
 
 9. 61214 
 61242 
 61270 
 61298 
 61326 
 
 5 
 
 6 
 6 
 
 lo, 38786 
 
 38753 
 
 3 8 73 
 38702 
 
 38674 
 
 9.65197 
 65231 
 65265 
 65299 
 
 65333 
 
 6 
 6 
 7 
 
 8 
 
 lo. 34803 
 34769 
 34735 
 347i 
 34667 
 
 10. 03983 
 03989 
 3995 
 04000 
 04006 
 
 
 9.96017 
 96011 
 96005 
 96000 
 95994 
 
 5 
 49 
 48 
 
 47 
 46 
 
 *s 
 
 16 
 
 '7 
 18 
 
 n 
 
 8 46 o 
 45 52 
 45 44 
 45 3 6 
 
 45 28 
 
 3 '4 o 
 14 8 
 14 16 
 
 14 24 
 
 '4 3 2 
 
 9.61354 
 61302 
 61411 
 61438 
 61466 
 
 7 
 
 I 
 8 
 9 
 
 10. 38646 
 38618 
 
 38589 
 38562 
 
 3 3 534 
 
 9- 65366 
 65400 
 
 6 5434 
 65467 
 65501 
 
 8 
 9 
 9 
 
 10 
 
 ii 
 
 10. 34634 
 34600 
 34566 
 34533 
 34499 
 
 10. 04012 
 04018 
 
 04023 
 
 04029 
 
 04035 
 
 I 
 
 2 
 2 
 2 
 2 
 
 9- 95988 
 95982 
 95977 
 9597' 
 95965 
 
 45 
 44 
 43 
 42 
 41 
 
 CO 
 21 
 C2 
 
 -3 
 24 
 
 8 45 20 
 45 '2 
 45 4 
 44 56 
 44 48 
 
 3 '4 40 
 14 48 
 4 56 
 15 4 
 
 15 12 
 
 9- 6r 494 
 61522 
 61550 
 61578 
 61606 
 
 9 
 10 
 10 
 II 
 II 
 
 10. 38506 
 3 8 478 
 3 3 450 
 38422 
 3 8 394 
 
 9- 6 5535 
 65568 
 
 65602 
 65636 
 65669 
 
 ii 
 
 12 
 12 
 13 
 
 '3 
 
 10. 34465 
 
 3443 2 
 34398 
 34364 
 3433 
 
 10. 04040 
 04046 
 04052 
 04058 
 04063 
 
 2 
 2 
 2 
 2 
 2 
 
 9- 959 bo 
 95954 
 95948 
 95942 
 95937 
 
 40 
 
 3 ? 
 
 38 
 
 3 
 3 
 
 "5 
 
 D 
 
 27 
 
 23 
 
 =9 
 
 8 44 40 
 44 32 
 44 24 
 44 16 
 44 8 
 
 3 IS 20 
 
 15 28 
 
 15 36 
 15 44 
 
 15 52 
 
 9. 61634 
 61662 
 61689 
 61717 
 
 61745 
 
 12 
 12 
 12 
 
 >3 
 
 13 
 
 10. 38366 
 
 38338 
 383" 
 38283 
 
 38255 
 
 9.65703 
 
 65736 
 65770 
 65803 
 65837 
 
 '4 
 
 '5 
 15 
 
 16 
 16 
 
 10. 34297 
 34264 
 3423 
 34197 
 34163 
 
 lo. 04069 
 
 04075 
 
 04080 
 04086 
 04092 
 
 2 
 2 
 3 
 3 
 3 
 
 9- 95931 
 95925 
 959:0 
 
 95914 
 
 95908 
 
 35 
 34 
 
 33 
 32 
 3 r 
 
 3 
 3Z 
 
 32 
 33 
 
 34 
 
 8 44 o 
 43 5 2 
 43 44 
 43 36 
 43 28 
 
 3 16 o 
 16 8 
 16 16 
 
 16 24 
 16 y. 
 
 9.61773 
 61^00 
 61828 
 61856 
 61883 
 
 '4 
 '4 
 >5 
 15 
 
 10. 38227 
 38200 
 
 38172 
 
 3 8 '44 
 S 8 "? 
 
 9. 65870 
 65904 
 65937 
 6597 
 66004 
 
 >7 
 
 11 
 
 18 
 '9 
 
 10.34130 
 34096 
 34063 
 34029 
 33996 
 
 10. 04098 
 
 04103 
 
 04109 
 
 04115 
 
 04121 
 
 3 
 
 3 
 3 
 3 
 3 
 
 9- 959 02 
 
 95897 
 95891 
 
 95885 
 95 8 79 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 S 6 
 
 M 
 39 
 
 8 43 20 
 43 >2 
 43 4 
 
 42 56 
 42 48 
 
 3 16 40 
 16 48 
 16 58 
 17 4 
 
 17 12 
 
 9. 61911 
 
 6'939 
 61966 
 61994 
 62021 
 
 16 
 '7 
 17 
 18 
 18 
 
 10. 38089 
 38061 
 
 38034 
 38006 
 
 37979 
 
 9. 66038 
 66071 
 66104 
 66138 
 66171 
 
 20 
 20 
 
 21 
 21 
 
 22 
 
 10. 33962 
 
 339=9 
 33 S 96 
 33862 
 33829 
 
 10.04127 
 
 04132 
 04138 
 04144 
 
 04150 
 
 3 
 3 
 4 
 4 
 
 4 
 
 MLl 
 95862 
 65856 
 9585 
 
 25 
 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 44 
 
 8 42 40 
 42 3 Z 
 42 24 
 42 16 
 42 8 
 
 3 '7 " 
 17 28 
 17 36 
 >7 44 
 17 52 
 
 9. 62049 
 62076 
 62104 
 62131 
 62159 
 
 18 
 J9 
 9 
 
 
 20 
 
 Jo. 3 795 ' 
 379 2 4 
 37896 
 37869 
 3784 
 
 9. 66204 
 66238 
 66271 
 66304 
 66337 
 
 22 
 3 
 =3 
 
 24 
 
 25 
 
 l- 33796 
 33.7 6 2 
 33729 
 33696 
 3.3663 
 
 10. 04156 
 04161 
 04167 
 
 04173 
 04179 
 
 4 
 
 4 
 4 
 
 4 
 4 
 
 9. 95844 
 95839 
 
 95833 
 95827 
 95821 
 
 20 
 19 
 
 18 
 
 '7 
 
 16 
 
 45 
 46 
 
 47 
 
 48 
 
 49 
 
 8 42 o 
 41 52 
 41 44 
 
 4' 3 6 
 
 41 28 
 
 3 i o 
 18 8 
 18 16 
 18 24 
 
 18 32 
 
 9. 62186 
 62214 
 62241 
 62268 
 62296 
 
 21 
 21 
 22 
 22 
 23 
 
 10.37814 
 37786 
 37759 
 37732 
 3774 
 
 9.66371 
 66404 
 
 66437 
 66470 
 66503 
 
 Z l 
 26 
 
 26 
 
 27 
 
 27 
 
 10. 33629 
 
 3359 s 
 33563 
 33530 
 33497 
 
 10. 04185 
 04190 
 04196 
 
 04202 
 04208 
 
 4 
 4 
 
 5 
 5 
 5 
 
 9-958I5 
 95810 
 95804 
 95798 
 95792 
 
 '5 
 H 
 '3 
 
 12 
 II 
 
 5 
 5' 
 
 52 
 53 
 
 54 
 
 8 41 20 
 
 41 12 
 
 41 4 
 
 40 36 
 40 48 
 
 3 18 40 
 18 48 
 18 56 
 19 4 
 
 19 12 
 
 9- 62323 
 62350 
 
 62377 
 62405 
 62432 
 
 23 
 
 24 
 24 
 24 
 
 2 5 
 
 10. 37677 
 3765a 
 37623 
 37595 
 37568 
 
 9. 66537 
 66570 
 66603 
 08636 
 66669 
 
 28 
 28 
 29 
 30 
 30 
 
 i- 33463 
 3343 
 33397 
 333 6 4 
 33331 
 
 10. 04214 
 04220 
 
 04225 
 04231 
 04237 
 
 5 
 5 
 5 
 5 
 5 
 
 9.95786 
 9578o 
 95775 
 95769 
 95763 
 
 10 
 
 7 
 6 
 
 55 
 56 
 
 is 7 
 
 59 
 60 
 
 8 40 40 
 40 32 
 4 24 
 40 16 
 40 8 
 40 o 
 
 3 19 2 
 
 19 28 
 
 9 36 
 19 44 
 19 52 
 
 20 
 
 9. 62459 
 62486 
 62513 
 62541 
 62568 
 62595 
 
 26 
 26 
 27 
 27 
 28 
 
 10. 37541 
 37514 
 37487 
 37459 
 37432 
 37405 
 
 9. 66702 
 
 66735 
 66768 
 66801 
 60834 
 66867 
 
 3i 
 3i 
 32 
 32 
 33 
 33 
 
 10. 33298 
 33265 
 33232 
 33 '99 
 33 '66 
 3333 
 
 10. 04243 
 
 04249 
 04255 
 
 04261 
 04267 
 04272 
 
 5 
 5 
 
 
 
 6 
 6 
 
 9-95757 
 95751 
 95745 
 95739 
 95733 
 95728 
 
 5 
 4 
 3 
 
 2 
 
 I 
 
 
 M. 
 
 lour p. M. 
 
 iour A. M. 
 
 Cosine. 
 
 DiS. 
 
 Secant. 
 
 otangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 114= 65 
 
SINES, TANGENTS, AND SECANTS. 
 25 154 
 
 M. 
 
 Hour A.M. 
 
 Hour p. M. 
 
 Sine. 
 
 Did 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent. 
 
 Secant. 
 
 Diff 
 
 Cosine. 
 
 M. 
 
 O 
 
 z 
 z 
 
 3 
 
 4 
 
 8 40 O 
 39 52 
 39 44 
 39 3 6 
 39 28 
 
 3 20 O 
 20 8 
 
 20 16 
 20 24 
 
 20 32 
 
 9- 6 2595 
 62622 
 62649 
 62676 
 62703 
 
 O 
 
 
 I 
 I 
 
 2 
 
 10- 3745 
 3737 s 
 3735' 
 37324 
 37297 
 
 9. 66867 
 66900 
 66933 
 66966 
 66999 
 
 
 I 
 I 
 2 
 2 
 
 io. 33133 
 33'00 
 SSO 6 ? 
 33034 
 33oi 
 
 io. 04272 
 04278 
 04284 
 04290 
 04296 
 
 
 
 o 
 o 
 o 
 
 
 
 9.957:S 
 95722 
 95716 
 95710 
 95704 
 
 60 
 59 
 58 
 57 
 S6 
 
 9 
 
 8 39 20 
 39 12 
 39 4 
 3856 
 38 48 
 
 3 20 40 
 20 48 
 2O 56 
 21 4 
 21 12 
 
 9.62730 
 
 62757 
 62784 
 62811 
 62838 
 
 2 
 
 3 
 3 
 
 4 
 4 
 
 10. 37270 
 
 37243 
 37216 
 
 37189 
 37162 
 
 9- 67032 
 
 67065 
 67098 
 
 67'3' 
 67163 
 
 3 
 3 
 4 
 4 
 S 
 
 10. 32968 
 
 32935 
 32902 
 32869 
 32837 
 
 io. 04302 
 04308 
 
 043M 
 
 04320 
 04326 
 
 
 9- 95 6 98 
 95692 
 95686 
 95680 
 95674 
 
 55 
 54 
 53 
 52 
 S' 
 
 10 
 
 II 
 
 12 
 13 
 H 
 
 8 38 40 
 38 32 
 38 24 
 38 16 
 
 38. 8 
 
 3 21 20 
 21 28 
 21 36 
 
 21 44 
 
 21 52 
 
 9. 62865 
 62802 
 62918 
 
 62945 
 62972 
 
 4 
 5 
 
 1 
 6 
 
 10.37135 
 37108 
 
 37082 
 
 37055 
 37028 
 
 9. 67196 
 67229 
 67262 
 67295 
 67127 
 
 I 
 7 
 
 8 
 
 io. 32804 
 
 32771 
 32738 
 32705 
 32673 
 
 LO. 04332 
 04337 
 04343 
 04349 
 4355 
 
 
 9. 95668 
 95663 
 95657 
 95651 
 95 6 45 
 
 5 
 49 
 48 
 
 47 
 46 
 
 16 
 
 "7 
 18 
 
 19 
 
 8 38 o 
 37 52 
 37 44 
 37 3 6 
 37 28 
 
 3 22 O 
 22 8 
 22 l6 
 22 24 
 22 32 
 
 9- 62999 
 63026 
 63052 
 
 63079 
 63106 
 
 7 
 
 8 7 
 8 
 8 
 
 10. 37001 
 
 36974 
 36948 
 
 36921 
 36894 
 
 9. 67300 
 
 67393 
 67426 
 
 67458 
 67491 
 
 8 
 9 
 9 
 
 10 
 
 10 
 
 io. 32640 
 
 32607 
 32574 
 32542 
 32509 
 
 io. 04361 
 
 04367 
 04373 
 04379 
 043 8 5 
 
 2 
 2 
 2 
 
 2 
 2 
 
 9- 95639 
 95633 
 95627 
 95621 
 95615 
 
 45 
 44 
 43 
 
 42 
 
 4i 
 
 20 
 21 
 22 
 23 
 
 24 
 
 8 37 20 
 37 '2 
 
 37 4 
 
 36 56 
 
 36 48 
 
 3 22 40 
 22 48 
 22 56 
 
 23 4 
 23 12 
 
 9-63133 
 63 '59 
 63186 
 
 63213 
 63239 
 
 9 
 9 
 10 
 
 10 
 
 ii 
 
 10. 36867 
 36841 
 36814 
 
 36787 
 36761 
 
 9- 67524 
 67556 
 67589 
 67622 
 67654 
 
 n 
 ii 
 
 12 
 12 
 
 3 
 
 io. 32476 
 
 32444 
 32411 
 
 32378 
 32346 
 
 io. 04391 
 
 04397 
 04403 
 04409 
 04415 
 
 2 
 2 
 2 
 2 
 2 
 
 9- 95609 
 95603 
 05597 
 95S9I 
 95_S|jS 
 
 40 
 39 
 38 
 37 
 
 36 
 
 s 
 
 12 
 
 29 
 
 8 36 40 
 
 3 6 32 
 36 24 
 36 16 
 36 8 
 
 3 23 20 
 
 23 28 
 23 36 
 
 23 44 
 23 52 
 
 g. 63266 
 63292 
 633'9 
 6,^5 
 
 633/2 
 
 ii 
 ii 
 
 12 
 12 
 
 13 
 
 i- 3 6 734 
 
 36708 
 36681 
 
 36655 
 36628 
 
 9. 67687 
 67719 
 67752 
 67785 
 67817 
 
 14 
 14 
 >5 
 
 15 
 
 io. 32313 
 
 32281 
 32248 
 
 32215 
 32183 
 
 io. 04421 
 
 04427 
 04433 
 04439 
 04445 
 
 3 
 
 3 
 3 
 3 
 3 
 
 9-95579 
 95573 
 95567 
 95561 
 
 95555 
 
 35 
 34 
 33 
 32 
 21 
 
 3 
 3i 
 
 3 2 
 33 
 34 
 
 8 36 o 
 35 52 
 35 44 
 35 36 
 35 28 
 
 3 24 o 
 24 8 
 24 16 
 24 24 
 24 32 
 
 9- 63398 
 63425 
 63451 
 
 63478 
 635 4 
 
 3 
 14 
 H 
 
 i5 
 'S 
 
 10. 36602 
 
 36575 
 36549 
 36522 
 36496 
 
 9. 67850 
 67882 
 67915 
 
 67947 
 67980 
 
 16 
 7 
 '7 
 18 
 18 
 
 10.32150 
 32118 
 
 32085 
 32053 
 
 32020 
 
 io. 04451 
 
 04457 
 04463 
 
 04469 
 
 04475 
 
 3 
 3 
 3 
 3 
 3 
 
 9- 95549 
 95543 
 95537 
 95531 
 955 2 5 
 
 30 
 29 
 28 
 
 27 
 26 
 
 i 
 
 38 
 
 39 
 
 8 35 20 
 35 '2 
 35 4 
 34 56 
 34 48 
 
 3 24 4 
 24 48 
 24 56 
 
 25 4 
 
 25 12 
 
 9-6353 1 
 63557 
 63583 
 63610 
 
 63636 
 
 !i 
 
 16 
 
 i? 
 '7 
 
 10. 36469 
 
 36443 
 36417 
 36390 
 36364 
 
 9. 680 J'2 
 68044 
 68077 
 68109 
 
 68142 
 
 19 
 
 20 
 20 
 21 
 21 
 
 io. 31988 
 
 31956 
 35923 
 31891 
 
 31858 
 
 io. 04481 
 
 04487 
 04493 
 
 04500 
 04506 
 
 4 
 4 
 4 
 4 
 4 
 
 9-955I9 
 95513 
 95507 
 955oo 
 
 95494 
 
 2 5 
 24 
 23 
 
 22 
 21 
 
 40 
 4' 
 42 
 43 
 44 
 
 8 34 40 
 34 3 2 
 34 24 
 34 '6 
 34 8 
 
 3 25 20 
 25 28 
 
 25 3 6 
 25 44 
 25 52 
 
 9. 63662 
 63689 
 
 63715 
 63741 
 63767 
 
 18 
 18 
 9 
 '9 
 '9 
 
 10. 36338 
 
 363" 
 
 36285 
 
 36259 
 36233 
 
 9. 68174 
 68206 
 68239 
 68271 
 68303 
 
 22 
 22 
 23 
 23 
 24 
 
 io. 31826 
 
 31794 
 31761 
 
 3' 7 2 9 
 3i 6 97 
 
 io. 04512 
 04518 
 
 04524 
 
 0453 
 
 04536 
 
 4 
 
 4 
 4 
 4 
 4 
 
 9- 95488 
 95482 
 95476 
 95470 
 95464 
 
 2O 
 19 
 
 18 
 
 '7 
 16 
 
 45 
 46 
 
 4 Z 
 48 
 
 49 
 
 8 34 o 
 33 52 
 33 44 
 33 S 6 
 33 28 
 
 3 26 o 
 26 8 
 26 16 
 26 24 
 26 32 
 
 9- 63794 
 63820 
 63846 
 63872 
 63898 
 
 20 
 20 
 21 
 21 
 22 
 
 10. 36206 
 
 36180 
 
 36154 
 36128 
 
 36102 
 
 9 . 68336 
 68368 
 
 68400 
 68432 
 68465 
 
 24 
 25 
 
 2 5 
 
 26 
 
 27 
 
 io. 31664 
 
 31632 
 
 31600 
 
 31568 
 31535 
 
 io. 04542 
 04548 
 04554 
 
 04560 
 04566 
 
 5 
 5 
 5 
 
 5 
 5 
 
 9- 9545 s 
 95452 
 95446 
 95440 
 95434 
 
 15 
 14 
 
 13 
 
 12 
 II 
 
 5 
 51 
 
 S 2 
 53 
 54 
 
 8 33 20 
 33 12 
 33 4 
 32 50 
 
 32 43 
 
 3 26 40 
 26 48 
 26 56 
 27 4 
 
 27 12 
 
 9- 63924 
 63950 
 
 63976 
 64002 
 64028 
 
 22 
 
 2 3 
 2 3 
 2 3 
 24 
 
 10. 36076 
 36050 
 
 36024 
 35998 
 35972 
 
 9- 68497 
 68529 
 68561 
 
 68593 
 68626 
 
 27 
 28 
 28 
 29 
 29 
 
 10.31503 
 31471 
 31439 
 31407 
 
 3'374 
 
 10.04573 
 04579 
 045 S 5 
 04591 
 
 04597 
 
 5 
 5 
 5 
 5 
 
 S 
 
 9- 954=7 
 95421 
 
 95415 
 95409 
 
 95403 
 
 IO 
 
 9 
 8 
 
 7 
 6 
 
 55 
 5 6 
 
 P 
 
 59 
 60 
 
 8 32 40 
 32 32 
 32 24 
 32 16 
 32 8 
 32 o 
 
 3 27 20 
 
 27 28 
 27 36 
 
 27 44 
 Z 7 S 2 
 28 o 
 
 9. 64054 
 64080 
 64106 
 64132 
 64158 
 64184 
 
 24 
 25 
 25 
 26 
 26 
 26 
 
 10. 35940 
 
 35920 
 3^894 
 
 35868 
 
 35842 
 35816 
 
 9. CSojJ 
 68690 
 68722 
 
 68754 
 C37S5 
 68818 
 
 30 
 3 
 3' 
 3' 
 32 
 33 
 
 10.31342 
 
 33'9 
 3.278 
 
 31246 
 
 31214 
 31182 
 
 i o. 04603 
 04609 
 04616 
 
 04622 
 04628 
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 6 
 6 
 6 
 6 
 6 
 6 
 
 9- 95397 
 95391 
 95384 
 9537 s 
 95372 
 95366 
 
 5 
 
 4 
 3 
 
 2 
 
 I 
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 M. 
 
 Hour p. M. 
 
 Hour A. M.I Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 115 64 
 
SINES, TANGENTS, AND SECANTS. 
 26 153 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
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 2 
 
 3 
 4 
 
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 3' 52 
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 3' 3 6 
 31 28 
 
 3 28 
 28 8 
 28 16 
 28 24 
 28 32 
 
 9. 64184 
 64210 
 64236 
 64262 
 64288 
 
 O 
 
 O 
 
 I 
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 2 
 
 10.35816 
 35790 
 
 357 6 4 
 35738 
 35712 
 
 9. 68818 
 68850 
 68882 
 68914 
 
 68916 
 
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 I 
 I 
 2 
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 31150 
 31118 
 
 31086 
 
 31054 
 
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 04640 
 04646 
 04652 
 04659 
 
 O 
 
 
 o 
 
 
 
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 9- 95366 
 9536 
 95354 
 9534 
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 60 
 
 59 
 58 
 57 
 56 
 
 6 
 
 8 
 9 
 
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 31 u 
 
 31 t 
 
 3 5 6 
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 3 28 40 
 28 48 
 28 56 
 29 4 
 
 29 12 
 
 9-643I3 
 6 4339 
 643 b 5 
 64391 
 64417 
 
 2 
 
 3 
 3 
 
 3 
 4 
 
 10. 35687 
 
 35661 
 35635 
 35609 
 35583 
 
 9. 68978 
 65010 
 69042 
 69074 
 69106 
 
 3 
 3 
 4 
 4 
 5 
 
 10. 31022 
 
 30990 
 
 30958 
 30926 
 30894 
 
 10. 04665 
 04671 
 04677 
 04683 
 04690 
 
 
 9-95335 
 95329 
 95323 
 953' 7 
 953'o 
 
 55 
 54 
 53 
 S 2 
 5' 
 
 10 
 
 II 
 
 12 
 
 '3 
 4 
 
 8 30 40 
 
 3 S 2 
 30 24 
 30 16 
 30 8 
 
 3 29 20 
 
 29 28 
 
 29 3 6 
 29 44 
 29 52 
 
 9.64442 
 64468 
 
 64494 
 64519 
 
 64545 
 
 4 
 5 
 5 
 
 6 
 
 IO-35558 
 35532 
 35506 
 354SI 
 
 35455 
 
 9- 6913* 
 69170 
 69202 
 
 69234 
 69266 
 
 6 
 
 7 
 7 
 
 lo. 30862 
 
 3083 
 30798 
 30766 
 
 30734 
 
 10. 04696 
 04702 
 04708 
 
 04714 
 04721 
 
 
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 95298 
 95292 
 95286 
 95279 
 
 5 
 
 49 
 48 
 
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 46 
 
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 10 
 
 17 
 
 18 
 
 '9 
 
 8 30 o 
 29 52 
 29 44 
 29 36 
 29 28 
 
 3 3 o 
 30 8 
 3 '6 
 30 24 
 3 32 
 
 9. 64571 
 
 64596 
 64622 
 64647 
 
 64673 
 
 6 
 7 
 
 8 
 8 
 
 to. 35429 
 
 3544 
 35378 
 35353 
 35327 
 
 9. 69298 
 69329 
 69361 
 
 69393 
 69425 
 
 8 
 8 
 9 
 9 
 
 10 
 
 10. 30702 
 
 30671 
 
 30639 
 30607 
 
 30575 
 
 10. 04727 
 
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 9- 95273 
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 95 2 54 
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 45 
 44 
 43 
 
 42 
 
 41 
 
 20 
 
 21 
 22 
 
 23 
 24 
 
 8 29 20 
 
 29 12 
 
 29 4 
 
 28 56 
 28 ft 
 
 3 3 40 
 30 48 
 30 56 
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 31 12 
 
 9. 64698 
 64724 
 64749 
 
 f>4775 
 64800 
 
 8 
 9 
 9 
 
 10 
 JO 
 
 10. 35302 
 35 2 76 
 
 35251 
 35225 
 35200 
 
 9.69457 
 69488 
 69520 
 
 69552 
 69584 
 
 u 
 ii 
 
 12 
 12 
 
 53 
 
 o- 30543 
 
 30512 
 
 30480 
 
 30448 
 30416 
 
 10. 04758 
 
 04764 
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 04777 
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 2 
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 3 
 
 9- 95 2 42 
 95236 
 95229 
 95223 
 95217 
 
 40 
 
 S 
 
 11 
 
 25 
 26 
 
 27 
 28 
 29 
 
 8 28 40 
 28 32 
 28 24 
 28 16 
 28 8 
 
 3 3 20 
 
 31 28 
 
 3' 36 
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 9. 64826 
 64851 
 64877 
 64902 
 64927 
 
 U 
 ii 
 ii 
 
 12 
 12 
 
 10.35174 
 35149 
 35 '23 
 35 93 
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 9.69615 
 
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 30321 
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 10. 04789 
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 04808 
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 3 
 3 
 
 3 
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 9.95211 
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 95198 
 95192 
 95185 
 
 35 
 34 
 33 
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 3 
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 33 
 
 34 
 
 8 28 o 
 27 52 
 
 27 44 
 27 36 
 27 28 
 
 3 3 2 o 
 32 8 
 
 32 lo 
 3 2 24 
 
 33 32 
 
 9- 64953 
 64978 
 65003 
 65029 
 65054 
 
 13 
 
 '3 
 H 
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 14 
 
 10. 35047 
 35022 
 34997 
 34971 
 34946 
 
 9- 69774 
 69805 
 69837 
 69868 
 69900 
 
 16 
 16 
 17 
 
 || 
 
 lo. 30226 
 
 30195 
 30163 
 
 30132 
 
 30100 
 
 10.04821 
 04527 
 04833 
 
 04840 
 04846 
 
 3 
 3 
 
 3 
 3 
 
 4 
 
 9- 95 79 
 95'73 
 95167 
 95160 
 95 '54 
 
 30 
 29 
 28 
 
 27 
 26 
 
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 37 
 38 
 
 39 
 
 8 27 20 
 
 27 12 
 
 27 4 
 
 26 56 
 26 48 
 
 3 3 2 4 
 32 48 
 32 56 
 
 33 4 
 33 12 
 
 9. 65079 
 65104 
 65130 
 
 65155 
 65180 
 
 IS 
 15 
 
 10 
 
 16 
 
 16 
 
 10.34921 
 34896 
 348/0 
 
 34845 
 34820 
 
 9- 69932 
 69963 
 
 69995 
 70026 
 70058 
 
 18 
 
 19 
 20 
 
 20 
 
 21 
 
 10. 30068 
 
 30037 
 30005 
 
 29974 
 29942 
 
 10. 04852 
 04859 
 04865 
 04871 
 04878 
 
 4 
 
 4 
 4 
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 9.95148 
 95141 
 
 95 '35 
 95129 
 95122 
 
 25 
 2 4 
 
 23 
 
 22 
 
 21 
 
 40 
 
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 42 
 
 43 
 44 
 
 8 26 40 
 26 32 
 26 24 
 26 16 
 26 8 
 
 3 33 20 
 33 28 
 33 3 6 
 33 44 
 33 S 2 
 
 9. 65205 
 65230 
 
 65255 
 65281 
 65306 
 
 17 
 17 
 18 
 18 
 19 
 
 10- 34795 
 34770 
 34745 
 34719 
 34694 
 
 9. 70089 
 70121 
 70152 
 70184 
 70215 
 
 21 
 
 22 
 22 
 23 
 23 
 
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 29879 
 29848 
 29816 
 29785 
 
 10. 04884 
 04890 
 
 04897 
 04903 
 
 04910 
 
 4 
 4 
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 9.95116 
 95110 
 95'03 
 95097 
 95090 
 
 20 
 19 
 
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 16 
 
 11 
 
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 49 
 
 8 26 o 
 2 5 S 2 
 25 44 
 25 36 
 25 28 
 
 3 34 o 
 34 8 
 34 >6 
 34 24 
 34 32 
 
 9-6533I 
 65356 
 65381 
 65406 
 6 543' 
 
 19 
 "9 
 
 20 
 20 
 21 
 
 10. 34669 
 34644 
 34619 
 34594 
 34569 
 
 9- 70247 
 70278 
 
 70309 
 70341 
 70372 
 
 24 
 24 
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 2 I 
 26 
 
 10. 29753 
 29722 
 29691 
 
 29659 
 29628 
 
 10.04916 
 
 04922 
 04929 
 
 04935 
 04941 
 
 5 
 5 
 5 
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 9- 95084 
 95078 
 95071 
 95065 
 95059 
 
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 12 
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 5 
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 52 
 53 
 54 
 
 8^25 20 
 
 25 12 
 
 25 4 
 
 24 5 6 
 24 48 
 
 3 3440 
 34 4 s 
 34 56 
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 9- 65456 
 65481 
 65506 
 
 65531 
 65556 
 
 21 
 
 22 
 22 
 22 
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 345" 9 
 34494 
 34469 
 34444 
 
 9- 70404 
 
 70435 
 70466 
 70498 
 70529 
 
 26 
 27 
 
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 28 
 
 10. 29596 
 
 29565 
 29534 
 29502 
 29471 
 
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 04954 
 
 04961 ! 
 
 04967 
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 5 
 
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 9- 95 52 
 95046 
 
 9539 
 
 95033 
 95027 
 
 10 
 
 9 
 
 8 
 
 6 
 
 55 
 56 
 
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 11 
 
 8 24 40 
 
 24 32 
 24 24 
 24 16 
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 3 35 20 
 35 28 
 35 36 
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 9. 65580 
 65605 
 65630 
 
 65655 
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 65705 
 
 2 3 
 24 
 24 
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 25 
 25 
 
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 34395 
 3437 
 34345 
 31320 
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 o. 70560 
 
 759 2 
 70623 
 
 7 654 
 70685 
 70717 
 
 29 
 
 3 
 30 
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 29408 
 29377 
 29346 
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 29-83 
 
 10.04980 
 04080 
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 6 
 6 
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 9. OCO2O 
 
 950'4 
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 5 
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 Hour A. M. 
 
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 Cotangent. 
 
 Diff. 
 
 TanjCKt. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 116 63 
 
 204 
 
SINES, TAXGEXTS, AND 
 
 27 
 
 SECANTS. 
 152 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff 
 
 Cotangent. 
 
 Secant. 
 
 Diflf 
 
 Cosine. 
 
 M. 
 
 o 
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 23 52 
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 36 8 
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 9- 65705 
 65729 
 
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 65779 
 65804 
 
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 10. 34295 
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 34246 
 34221 
 34196 
 
 9- 70717 
 70748 
 70779 
 70810 
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 20252 
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 29190 
 29159 
 
 10. 05012 
 05018 
 05025 
 05031 
 05038 
 
 
 
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 9. 94988 
 94982 
 
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 94969 
 
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 59 
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 57 
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 9. 65828 
 
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 3 
 
 3 
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 10.34172 
 
 34H7 
 34122 
 
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 34073 
 
 9. 70873 
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 70966 
 
 7997 
 
 3 
 3 
 4 
 4 
 5 
 
 10. 29127 
 
 29096 
 29065 
 29034 
 29003 
 
 10. 05044 
 05051 
 
 05057 
 05064 
 05070 
 
 
 9. 94956 
 94949 
 94943 
 94936 
 94930 
 
 55 
 54 
 53. 
 52 
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 10 
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 12 
 
 '3 
 
 14 
 
 8 22 40 
 22 32 
 22 24 
 22 l6 
 22 8 
 
 3 37 20 
 37 28 
 37 3 6 
 37 44 
 37 52 
 
 9- 65952 
 65976 
 66001 
 
 66025 
 66050 
 
 4 
 4 
 5 
 
 6 
 
 10. 34048 
 
 34024 
 
 33999 
 33975 
 3395 
 
 9. 71028 
 
 71059 
 71090 
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 6 
 6 
 
 7 
 7 
 
 10. 28972 
 
 28941 
 
 28910 
 
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 28847 
 
 10.05077 
 05083 
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 9- 94923 
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 48 
 47 
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 15 
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 9. 66075 
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 6 
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 10. 33925 
 339 i 
 33876 
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 9. 711-84 
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 8 
 8 
 9 
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 10. 28816 
 
 28785 
 28754 
 
 28723 
 
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 10. 05109 
 
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 94885 
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 45 
 44 
 43 
 42 
 41 
 
 20 
 
 21 
 
 22 
 23 
 24 
 
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 3 3 s 4 
 
 38 48 
 
 38 56 
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 9. 66197 
 66221 
 66246 
 66270 
 66295 
 
 8 
 8 
 9 
 9 
 10 
 
 10. 33803 
 33779 
 33754 
 33730 
 3375 
 
 9- 71339 
 7 ! 37o 
 71401 
 
 7H3I 
 71462 
 
 10 
 
 ii 
 n 
 
 12 
 12 
 
 10. 28661 
 28630 
 
 28599 
 28569 
 
 28538 
 
 10. 05142 
 
 05148 
 05155 
 
 05161 
 05168 
 
 2 
 2 
 2 
 3 
 
 3 
 
 9- 94858 
 94852 
 94845 
 94839 
 94832 
 
 40 
 39 
 38 
 37 
 36 
 
 25 
 26 
 
 27 
 23 
 29 
 
 8 20 40 
 
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 3 39 20 
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 9.66319 
 
 66343, 
 66368 
 
 66392 
 66416 
 
 10 
 
 ii 
 ii 
 n 
 
 12 
 
 10. 33681 
 33657 
 33632 
 336o8 
 
 33584 
 
 9- 7H93 
 71524 
 71555 
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 71617 
 
 3 
 13 
 
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 4 
 15 
 
 10. 28507 
 
 28476 
 28445 
 28414 
 
 28383 
 
 10.05174 
 
 05181 
 
 05187 
 05194 
 
 05201 
 
 3 
 3 
 3 
 3 
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 9. 94826 
 94819 
 94813 
 94806 
 
 94799 
 
 35 
 34 
 33 
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 30 
 31 
 
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 33 
 34 
 
 8 20 O 
 
 19 52 
 
 19 44 
 19 36- 
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 3 40 o 
 40 8 
 40 16 
 40 24 
 40 32 
 
 9. 66441 
 66465 
 66489 
 66513 
 66537 
 
 12 
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 13 
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 14 
 
 i- 33559 
 33535 
 335" 
 334S7 
 33463 
 
 9. 71648 
 71679 
 71709 
 71740 
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 15 
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 10. 28352 
 28321 
 28291 
 28260 
 28:129 
 
 10. 05207 
 
 05214 
 
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 05233 
 
 3 
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 4 
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 94786 
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 94773 
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 30 
 29 
 
 28 
 
 27 
 26 
 
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 37 
 3' J 
 39 
 
 8 19 20 
 
 19 12 
 
 19 4 
 
 18 56 
 18 48 
 
 3 4 4 
 40 48 
 40 56 
 41 4 
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 9. 66562 
 66586 
 66610 
 66634 
 66658 
 
 14 
 5 
 
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 15 
 16 
 
 10. 33438 
 334H 
 33390 
 33366 
 33342 
 
 9. 71802 
 
 71833 
 71863 
 71894 
 71925 
 
 18 
 19 
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 20 
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 10. 28198 
 
 28167 
 
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 28106 
 
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 10. 05240 
 
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 4 
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 9. 94760 
 94753 
 94747 
 94740 
 
 94734 
 
 25 
 24 
 23 
 
 22 
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 40 
 41 
 42 
 43 
 44 
 
 8 18 40 
 18 32 
 18 24 
 18 16 
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 3 41 20 
 41 28 
 
 41 36 
 41 44 
 
 41 52 
 
 9. 66682 
 66706 
 66731 
 
 66/55 
 66779 
 
 16 
 17 
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 7 
 18 
 
 10.33318 
 33294 
 33269 
 
 33245 
 33221 
 
 9- 71955 
 7:986 
 72017 
 72048 
 72078 
 
 21 
 21 
 
 22 
 22 
 23 
 
 10. 28045 
 28014 
 
 27983 
 27952 
 27922 
 
 10.05273 
 05280 
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 4 
 
 4 
 5 
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 9.94727 
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 20 
 
 19 
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 11 
 
 8 
 
 47 
 
 43 
 
 49 
 
 8 18 o 
 i? 52 
 17 44 
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 3 42 o 
 42 8 
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 9. 66803 
 66827 
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 66875 
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 18 
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 19 
 19 
 
 20 
 
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 33'49 
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 9. 72109 
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 72170 
 72201 
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 23 
 24 
 24 
 25 
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 10. 27891 
 27860 
 
 27830 
 
 27799 
 27769 
 
 10. 05306 
 
 53'3 
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 5 
 5 
 5 
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 9- 94694 
 94687 
 94680 
 94674 
 94667 
 
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 13 
 
 12 
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 51 
 52 
 53 
 54 
 
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 9. 66922 
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 21 
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 22 
 
 10. 33078 
 
 33054 
 33030 
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 9. 72262 
 72293 
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 26 
 26 
 27 
 
 27 
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 6 
 6 
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 9. 94660 
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 6 
 
 55 
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 57 
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 60 
 
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 9. 67042 
 67066 
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 67137 
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 22 
 23 
 23 
 23 
 24 
 24 
 
 10. 32958 
 
 32934 
 32910 
 
 32887 
 32863 
 32839 
 
 9-724I5 
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 72537 
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 28 
 29 
 29 
 
 3 
 3 
 3i 
 
 10.27585 
 
 27555 
 27524 
 
 27494 
 27463 
 27433 
 
 10. 05373 
 
 05380 
 05386 
 
 05393 
 05409 
 
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 6 
 6 
 6 
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 6 
 7 
 
 9.94627 
 94620 
 94614 
 94607 
 94600 
 
 94593 
 
 5 
 4 
 3 
 
 2 
 I 
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 M. 
 
 Hour?. M. 
 
 Hour A.M. 
 
 Cosine . 
 
 DiS. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 nr 62 
 
 205 
 
SINES, TANGENTS, AND SECANTS. 
 28 151 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 z 
 3 
 4 
 
 8 16 .0 
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 44 16 
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 9. 67161 
 67185 
 67208 
 67232 
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 c 
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 10. 32839 
 32815 
 
 32792 
 32768 
 
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 9. 72567 
 72598 
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 O 
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 2 
 
 2 
 
 10. 27433 
 
 27402 
 27372 
 
 2734' 
 27311 
 
 lo. 05407 
 
 05413 
 05420 
 05427 
 05433 
 
 o 
 o 
 o 
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 9- 94593 
 945S7 
 94580 
 
 94573 
 94567 
 
 60 
 59 
 58 
 
 11 
 
 8 
 9 
 
 8 15 20 
 
 IS 12 
 
 15 4 
 
 14 56 
 14 48 
 
 3 44 4 
 44 4 s 
 44 5 6 
 45 4 
 45 12 
 
 o. 67280 
 6 733 
 673 2 7 
 67350 
 67374 
 
 2 
 
 2 
 
 3 
 3 
 3 
 
 10. 32720 
 
 32697 
 
 32673 
 32650 
 32626 
 
 9. 72720 
 72750 
 72780 
 72811 
 
 72841 
 
 3 
 3 
 
 4 
 4 
 5 
 
 10. 27280 
 
 " 27250 
 
 27220 
 
 27189 
 27159 
 
 10. 05440 
 
 05447 
 05454 
 
 05460 
 
 05467 
 
 
 9- 9456o 
 
 94553 
 94546 
 94540 
 94533 
 
 55 
 54 
 53 
 5 2 
 5' 
 
 10 
 
 II 
 
 12 
 13 
 '4 
 
 S 14 40 
 
 M 3 2 
 14 24 
 14 16 
 14 8 
 
 3 45 20 
 45 28 
 45 36 
 45 44 
 45 52 
 
 9. 67398 
 67421 
 
 67445 
 67468 
 
 67492 
 
 4 
 4 
 5 
 S 
 5- 
 
 10. 32602 
 
 32579 
 32555 
 32532 
 32508 
 
 9. 72872 
 72902 
 72932 
 72963 
 72993 
 
 I 
 6 
 
 7 
 7 
 
 10. 27128 
 
 27098 
 27068 
 27037 
 27007 
 
 10.05474 
 
 05481 
 
 05487 
 05494 
 05501 
 
 2 
 
 9. 94526 
 945'9 
 945" 3 
 94506 
 
 94499 
 
 50 
 49 
 
 48 
 
 47 
 46 
 
 II 
 
 '7 
 
 iS 
 '9 
 
 8 14 o 
 
 3 52 
 '3 44 
 '3 3 6 
 13 28 
 
 3 46 o 
 46 8 
 46 16 
 46 24 
 46 32 
 
 9- 675 '5 
 67539 
 67562 
 67586 
 67609 
 
 6 
 6 
 7 
 7 
 
 7 
 
 10. 32485 
 
 32461 
 32438 
 32414 
 32391 
 
 9- 73023 
 73054 
 73 8 4 
 73i4 
 73 '44 
 
 8 
 8 
 9 
 9 
 
 10 
 
 10. 26977 
 26946 
 26916 
 26886 
 268^6 
 
 10. 05508 
 
 55 '5 
 0552,1 
 OSS 2 * 
 05535 < 
 
 2 
 2 
 2 
 2 
 
 2 
 
 9- 94492 
 94485 
 
 94479 
 
 94472 
 94465 
 
 45 
 
 44 
 43 
 42 
 
 41 
 
 20 
 21 
 22 
 
 23 
 24 
 
 8 13 20 
 
 13 12 
 
 13 4 
 
 12 56 
 12 48 
 
 3 46 40 
 46 48 
 46 56 
 
 47 4 
 47 12 
 
 9- 67633 
 67656 
 67680 
 
 67/03 
 67726 
 
 8 
 8 
 9 
 9 
 9 
 
 10. 32367 
 
 32344 
 
 32320 
 
 32297 
 32274 
 
 9- 73 '75 
 
 7325 
 73235 
 73265 
 73=95 
 
 10 
 ii 
 ii 
 
 12 
 12 
 
 10. 26825 
 
 26795 
 
 26765 
 
 26735 
 
 26705 
 
 10. 05542 
 
 05549 
 05555 
 
 05562 
 
 05569 
 
 2 
 2 
 3 
 
 3 
 3 
 
 9. 94458 
 9445' 
 94445 
 94438 
 9443 ' 
 
 40 
 39 
 38 
 
 i 
 
 25 
 26 
 
 ^7 
 2S 
 2 9 
 
 8 12 40 
 
 12 32 
 12 24 
 12 l6 
 
 12 .8 
 
 3 47 20 
 47 28 
 47 3 6 
 47 44 
 47 52 
 
 9. 67750 
 
 677/3 
 67796 
 67820 
 67843 
 
 10 
 10 
 10 
 
 II 
 II 
 
 10. 32250 
 
 32227 
 32204 
 32180 
 32157 
 
 9- 733=6 
 73356 
 73386 
 73416 
 73446 
 
 '3 
 '3 
 14 
 14 
 
 '5 
 
 10. 26674 
 26644 
 26614 
 
 26584 
 26554 
 
 10. 05576 
 
 05583 
 05590 
 05596 
 
 05603 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 94424 
 
 94417 
 94410 
 94404 
 94397 
 
 35 
 34 
 33 
 32 
 3' 
 
 3 
 
 3' 
 32 
 33 
 
 34 
 
 8 12 
 11 52 
 
 II 44 
 II 36 
 II 28 
 
 3 48 o 
 48 8 
 48 16 
 48 24 
 48 32 
 
 9. 67866 
 67890 
 
 67913 
 67936 
 
 67959 
 
 12 
 12 
 12 
 "3 
 
 3 
 
 .10.32134 
 32110 
 
 32087 
 
 32064 
 
 32041 
 
 9- 73476 
 7357 
 73537 
 73567 
 73597 
 
 15 
 16 
 16 
 '7 
 17 
 
 10. 26524 
 
 26493 
 
 26463 
 
 26433 
 =6403 
 
 10. 05610 
 
 05617 
 
 05624 
 
 05631 
 05638 
 
 3 
 4 
 4 
 4 
 
 4 
 
 9- 94390 
 943S3 
 94376 
 . 94369 
 94362 
 
 3 
 29 
 
 28 
 
 11 
 
 3 I 
 36 
 
 37 
 38 
 39 
 
 8 II 20 
 II 12 
 
 II 4 
 
 10 56 
 10 48 
 
 3- 48 4 
 48 48 
 48 56 
 
 49 4 
 49 12 
 
 9. 67982 
 68006 
 68029 
 68052 
 68075 
 
 14 
 14 
 '4 
 '5 
 '5 
 
 10. 32018 
 3 '994 
 3'97i 
 3I94S 
 31925 
 
 9- 73627 
 73657 
 73687 
 73717 
 
 73747 
 
 18 
 18 
 '9 
 9 
 
 20 
 
 10. 26373 
 
 26343 
 26313 
 26283 
 26253 
 
 to. 05645 
 
 05651 
 05658 
 05665 
 
 05672 
 
 4 
 4 
 4 
 4 
 4 
 
 9- 94355 
 94349 
 94342 
 94335 
 9432 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 
 44 
 
 8 10 40 
 10 32 
 10 24 
 10 16 
 10 8 
 
 3 49 20 
 49 28 
 49 36 
 49 44 
 49 S 2 
 
 9. 68098 
 68121 
 68144 
 68167 
 68190 
 
 16 
 16 
 16 
 17 
 J 7 
 
 10. 31902 
 
 31879 
 31856 
 
 3'833 
 31810 
 
 9- 73777 
 73807 
 
 73837 
 73867 
 73897 
 
 20 
 21 
 21 
 22 
 
 22 
 
 lo. 26223 
 
 26193 
 26163' 
 26133 
 
 26103 
 
 10. 05679 
 05686 
 05693 
 
 05700 
 
 05707 
 
 5 
 5 
 5 
 5 
 5 
 
 9-94321 
 943M 
 9437 
 943 
 94293 
 
 20 
 '9 
 
 18 
 
 17 
 
 16 
 
 4 I 
 46 
 
 47 
 48 
 49 
 
 8 10 o 
 9 52 
 9 44 
 9 3 6 
 9 28 
 
 3 50 o 
 50 8 
 50 ?6 
 50 24 
 5 32 
 
 9. 68213 
 68237 
 68260 
 68283 
 68305 
 
 17 
 18 
 18 
 19 
 19 
 
 10.31787 
 3"763 
 31740 
 31717 
 3 '695 
 
 9- 73927 
 73957 
 73987 
 74017 
 
 74047 
 
 23 
 2 3 
 24 
 24 
 
 25 
 
 10. 26073 
 
 26043 
 26013 
 25983 
 25953 
 
 40.05714 
 
 05721 
 05727 
 05734 
 05741 
 
 5 
 5 
 5 
 
 9. 94286 
 94279 
 
 94273 
 942.66 
 
 94259 
 
 '5 
 14 
 >3 
 
 12 
 II 
 
 5 
 5' 
 
 52 
 53 
 54 
 
 8 9 20 
 9 12 
 
 9 4 
 8 56 
 8 48 
 
 3 5 40 
 50 48 
 50 56 
 
 S' 4 
 
 51 12 
 
 9. 68328 
 
 68351 
 68374 
 68397 
 
 68420 
 
 '9 
 20 
 
 20 
 21 
 21 
 
 10. 31672 
 
 31649 
 31626 
 31603 
 31580 
 
 9- 74077 
 74107 
 
 74137 
 74166 
 74196 
 
 2 5 
 26 
 26 
 27 
 27 
 
 10. 25923 
 
 25893 
 25863 
 
 25834 
 
 25804 
 
 10. 05748 
 
 05755 
 05762 
 05769 
 05776 
 
 6 
 6 
 6 
 6 
 
 6 
 
 9. 94252 
 
 94245 
 94238 
 94231 
 94224 
 
 10 
 
 6 
 
 55 
 5 6 
 57 
 
 59 
 60 
 
 8 8 40 
 832 
 8 24 
 8 16 
 8 8 
 8 o 
 
 3 5' 20 
 
 51 28 
 
 5' 3 6 
 
 51 44 
 51 52 
 52 o 
 
 9- 68443 
 68466 
 68489 
 68512 
 68534 
 68557 
 
 21 
 22 
 22 
 22 
 23 
 23 
 
 !0-3i557 
 3 '534 
 3'5'i 
 31488 
 31466 
 3'443 
 
 9. 74226 
 74256 
 74286 
 743I6 
 74345 
 74375 
 
 28 
 28 
 29 
 29 
 
 3" 
 3 
 
 10.25774 
 25744 
 25714 
 25684 
 
 25655 
 25625 
 
 10.05783 
 05790 
 05797 
 
 05804 
 05811 
 
 05818 
 
 6 
 6 
 
 7 
 7 
 7 
 7 
 
 9.94217 
 94210 
 94203 
 94196 
 94189 
 94182 
 
 5 
 4 
 3 
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 i 
 
 
 
 M. 
 
 Hour P.M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine". 
 
 M. 
 
 118 61 
 
 206 
 
SINES, TANGENTS, AND SECANTS. 
 29 150 
 
 M. 
 
 Hour A. ll. 
 
 Hour f. M. 
 
 Sine. 
 
 Dlff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 2 
 
 3 
 
 4 
 
 880 
 
 7 52 
 7 44 
 7 36 
 
 7 28 
 
 3 5 2 o 
 52 8 
 52 16 
 52 24 
 52 32 
 
 9.68557 
 68580 
 60603 
 68625 
 68648 
 
 O 
 O 
 I 
 I 
 
 I 
 
 10.31443 
 31420 
 
 3>397 
 3'375 
 
 3 '352 
 
 9- 7-5375 
 74405 
 74435 
 74405 
 74494 
 
 o 
 O 
 I 
 I 
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 10. 25625 
 25595 
 25565 
 25535 
 25506 
 
 10-. 05818 
 05825 
 05832 
 
 05839 
 
 05846 
 
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 O 
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 9. 94182 
 
 94175 
 94168 
 94161 
 94154 
 
 60 
 
 3 
 
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 8 7 
 9 
 
 8 7 20 
 7 12 
 
 7 4 
 6 56 
 6 48 
 
 3 5 2 4 
 52 43 
 52 5 6 
 53 4 
 53 '2 
 
 9. 68671 
 6S&91 
 68716 
 
 68739 
 68762 
 
 2 
 2 
 3 
 
 3 
 
 3 
 
 10.31329 
 3 '306 
 31284 
 31261 
 3 '238 
 
 9. 745-4 
 74554 
 7453 
 74613 
 74643 
 
 2 
 
 3 
 3 
 4 
 4 
 
 10. 25470 
 
 25446 
 25417 
 
 25387 
 25357 
 
 10. 05853 
 05860 
 05867 
 
 05874 
 058^1 
 
 
 9.94147 
 94140 
 
 94133 
 94126 
 94119 
 
 55 
 54 
 53 
 52 
 
 y 
 
 10 
 ii 
 
 12 
 
 '3 
 
 14 
 
 S 6 40 
 6 32 
 6 24 
 6 16 
 6 8 
 
 3 53 20 
 53 28 
 53 3 6 
 53 44 
 53 5 2 
 
 9. 68704 
 <>SSo7 
 688:9 
 68852 
 
 68875 
 
 4 
 4 
 i 
 
 5 
 
 5 
 
 10. 3I2It> 
 
 31193 
 
 37i 
 31148 
 31125 
 
 9- 74673 
 74702 
 
 74732 
 74702 
 
 7479' 
 
 5 
 
 6 
 6 
 7 
 
 10. 25327 
 
 25298- 
 25268 
 
 25238 
 
 25209 
 
 10. 05888 
 
 05895 
 
 05902 
 05910 
 
 05917 
 
 2 
 
 2 
 
 9.94112 
 94105 
 94098 
 94090 
 94083 
 
 5 
 49 
 48 
 
 47 
 46 
 
 '5 
 16 
 
 '7 
 18 
 
 19 
 
 8 6 o 
 5-52 
 5 44 
 5 36 
 5 28 
 
 3 54 o 
 54 8 
 54 it> 
 54 24 
 
 54 32 
 
 9. 68897 
 68920 
 68942 
 68965 
 68987 
 
 6 
 6 
 6 
 
 7 
 7 
 
 10. 3" 3 
 31080 
 31058 
 
 3>35 
 3 IOI 3 
 
 9- 74i>2i 
 74851 
 71^80 
 74910 
 74939 
 
 8 
 8 
 9 
 9 
 
 10.25179 
 25149 
 
 25120 
 25090 
 25061 
 
 10. 05924 
 
 0593' 
 05938 
 05945 
 
 595 2 
 
 2 
 2 
 2 
 
 2 
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 9. 94076 
 94069 
 94062 
 
 94055 
 94048 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 
 21 
 
 22 
 
 23 
 24 
 
 8 5 20 
 
 5 I2 
 5 4 
 
 456 
 4 48 
 
 3 54 4 
 54 48 
 
 54 56 
 55 4 
 
 55 '2 
 
 9. 69010 
 69032 
 
 65^55 
 69077 
 69100 
 
 I 
 
 8 
 9 
 9 
 
 10. 30990 
 30968 
 309*5 
 30923 
 30900 
 
 9- "4969 
 74998 
 750:8 
 
 75058 
 75087 
 
 10 
 
 10 
 II 
 II 
 
 12 
 
 10. 25031 
 25002 
 
 24972 
 2494* 
 24913 
 
 10. 05959 
 05966 
 
 05973 
 05980 
 05988 
 
 2 
 3 
 
 3 
 3 
 
 Jl_ 
 3 
 3 
 3 
 3 
 3 
 
 9. 94041 
 
 94034 
 94027, 
 94020 
 94012 
 
 40 
 
 39 
 
 38 
 
 ll 
 
 25 
 26 
 
 27 
 28 
 
 29 
 
 8 4 40 
 4 32 
 4 24 
 4 16 
 4 8 
 
 3 55 2 
 55 28 
 55 36 
 55 44 
 55 52 
 
 9. 69122 
 69144 
 69167 
 69189 
 69212 
 
 9 
 
 10 
 10 
 
 IQ 
 II 
 
 10. 30878 
 30856 
 
 3 833 
 30811 
 30788 
 
 9-75"7 
 75146 
 75176 
 
 75*5 
 
 75235 
 
 12 
 '3 
 
 '3 
 >4 
 
 >4 
 
 10. 2.-,883 
 24854 
 24824 
 
 2 4795 
 
 2 4765 
 
 10. 05995 
 06002 
 06009 
 06016 
 06023 
 
 9. 9400! 
 93998 
 9399" 
 93984 
 93977 
 
 35 
 34 
 33 
 3 2 
 3 
 
 3 
 3' 
 32 
 33 
 34 
 
 840 
 3 S 2 
 3 44 
 3 36 
 3 28 
 
 3 5 6 
 56 8 
 56 16 
 56 24 
 5 6 32 
 
 9. 69234 
 
 69256 
 69279 
 69301 
 69323 
 
 II 
 
 12 
 12 
 
 12 
 13 
 
 10. 30766 
 3744 
 30721 
 30699 
 
 30677 
 
 9- 75264 
 75294 
 75323 
 75353 
 75382 
 
 >5 
 15 
 
 10 
 
 16 
 '7 
 
 10. 24736 
 
 24706 
 
 24677 
 24647 
 24618 
 
 10. 06030 
 06037 
 06045 
 06052 
 06059 
 
 4 
 4 
 4 
 
 4 
 4 
 
 9- 9397 
 939S3 
 93955 
 93948 
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 3 
 
 2! 
 
 27 
 26 
 
 35 
 3 6 
 
 9 
 
 39 
 
 8 3 20 
 3 2 
 3 4 
 
 2 5 6 
 2 48 
 
 3 5 6 4 
 56 48 
 
 56 56 
 57 4 
 57 12 
 
 9- 69345 
 69368 
 69390 
 69412 
 69434 
 
 >3 
 '3 
 4 
 4 
 IS 
 
 10. 30655 
 30632 
 30610 
 30588 
 30566 
 
 9-754" 
 7544" 
 75470 
 75500 
 
 75529 
 
 \l 
 
 18 
 19 
 
 9 
 
 10. 2451:9 
 
 24559 
 2453 
 
 24500 
 24471 
 
 10. 06066 
 06073 
 06080 
 06088 
 06095 
 
 4 
 4 
 4 
 5 
 S 
 
 9- 93934 
 939 2 7 
 93920 
 
 939 12 
 
 93905 
 
 2 5 
 2 4 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 
 44 
 
 8 2 40 
 
 2 32 
 2 24 
 2 16 
 2 8 
 
 3 57 2 
 57 28 
 57 36 
 57 44 
 57 52 
 
 9- 6945 & 
 60479 
 69501 
 69523 
 
 69545 
 
 '5 
 15 
 16 
 16 
 16 
 
 to. 30544 
 30521 
 3499 
 30477 
 30455 
 
 9-75558 
 75583 
 75617 
 
 75647 
 75676 
 
 20 
 20 
 
 21 
 21 
 
 22 
 
 10. 24442 
 
 24412 
 24383 
 24353 
 24324 
 
 10. 0&I02 
 
 o6ic9 
 06116 
 06124 
 06131 
 
 S 
 5 
 5 
 5 
 
 5 
 
 9- 93 8 98 
 9389' 
 93884 
 93876 
 
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 20 
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 ll 
 
 45 
 46 
 
 8 
 
 49 
 
 820 
 52 
 
 44 
 
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 28 
 
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 58 16 
 58 24 
 58 32 
 
 9. 69567 
 69589 
 69611 
 
 69633 
 69655 
 
 7 
 7 
 
 \l 
 
 18 
 
 o. 30433 
 
 30411 
 30389 
 30367 
 
 30345 
 
 9.75705 
 7573S 
 75764 
 75793 
 758-2 
 
 22 
 23 
 23 
 24 
 
 24 
 
 10. 24295 
 
 24265 
 24235 
 24207 
 24178 
 
 10.06138 
 06145 
 06153 
 06100 
 06167 
 
 5 
 
 6 
 6 
 
 9- 93 S 62 
 93855 
 93847 
 9384 
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 52 
 53 
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 9. 69677 
 69699 
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 69743 
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 9 
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 20 
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 10. 30323 
 
 30301 
 30279 
 30257 
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 9- 75852 
 75881 
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 7593? 
 75969 
 
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 25 
 
 27 
 
 10. 24148 
 
 24119 
 
 24090 
 24061 
 24031 
 
 10.06174 
 06181 
 06189 
 06196 
 06203 
 
 6 
 6 
 6 
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 9. 93826 
 
 938i9 
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 55 
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 60 
 
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 3 59 20 
 59 28 
 59 36 
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 9- 697 8 7 
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 69875 
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 20 
 21 
 21 
 21 
 22 
 22 
 
 10. 30213. 
 50191 
 
 30169 
 
 30147 
 30125 
 
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 9- 75958 
 76027 
 76056 
 56086 
 76115 
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 28 
 
 28 
 29 
 29 
 29 
 
 to. 24002 
 
 23973 
 23944 
 23914 
 
 23885 
 
 23856 
 
 10. 06211 
 
 06218 
 
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 06232 
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 06247 
 
 7 
 7 
 7 
 7 
 7 
 7 
 
 9- 93789 
 93782 
 93775 
 93768 
 
 937 6 
 93753 
 
 5 
 
 4 
 3 
 
 2 
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 O 
 
 M. 
 
 Hour i'. M. 
 
 Hour A. M. 
 
 Cosine. 
 
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 Secant. 
 
 Cotangent . 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Dlff. 
 
 Sine. 
 
 M. 
 
 110 60' 
 
 207 
 
SINES, TANGENTS, AND SECANTS. 
 36 149 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Ens. 
 
 Diff. 
 
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 Tangent. 
 
 DifT. 
 
 Cctsr;. 
 
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 800 
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 59 44 
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 400 
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 30081 
 30059 
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 9- 7SI44 
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 76231 
 
 76261 
 
 
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 2 
 
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 23793 
 
 23769 
 
 23739 
 
 10. cS247 
 
 08254 
 06262 
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 06275 
 
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 9. 7000(3 
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 70050 
 70072 
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 3 
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 10. 25594 
 
 29972 
 29950 
 29928 
 2-9907 
 
 9. 76290 
 76319 
 76348 
 76377 
 76406 
 
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 3 
 
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 4 
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 10. 23710 
 
 23681 
 23652 
 23623 
 
 23594 
 
 10. 06283 
 06291 
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 9-937I7 
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 54 
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 13 
 
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 28 
 
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 9.70115 
 70137 
 7'59 
 70180 
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 4 
 4 
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 5 
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 10. 29885 
 29863 
 29841 
 29820 
 
 29798 
 
 9- 76435 
 76464 
 76493 
 76522 
 
 76551 
 
 5 
 
 6 
 7 
 
 10. 23565 
 
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 23507 
 23478 
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 10. 06320 
 
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 935/3 
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 16 
 
 17 
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 9. 70224 
 70245 
 70267 
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 6 
 6 
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 10. 29776 
 
 29755 
 29733 
 29712 
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 9. 76580 
 76609 
 
 76639 
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 8 
 9 
 9 
 
 10. 23420 
 
 23391 
 23361 
 23332 
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 10.06357 
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 2 
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 9- 53643 
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 43 
 
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 20 
 
 21 
 
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 24 
 
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 57 4 
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 4 2 40 
 
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 9- /0332 
 7353 
 70375 
 70396 
 70418 
 
 8 
 8 
 8 
 9 
 
 10. 29660 
 
 29647 
 29625 
 
 29604 
 29582 
 
 9- 76725 
 76754 
 76783 
 76812 
 76841 
 
 10 
 10 
 
 ii 
 ii 
 
 12 
 
 10.23275. 
 23246 
 23217 
 23188 
 23159 
 
 10. 06394 
 06401 
 06409 
 06416 
 06423 
 
 2 
 3 
 3 
 
 3 
 3 
 
 o. 53606 
 95Sr:> 
 93591 
 9:534 
 
 93577 
 
 <- D 
 
 3 
 
 J 
 
 T 
 / 
 
 5 
 
 2 
 3 
 
 29 
 
 7 P 43 
 
 <5 32 
 
 5 t 2 z 
 
 56 16 
 S 5 8 
 
 4 3 20 
 
 3 1 
 3 3 6 
 
 3 44 
 
 3 5" 
 
 9- "0439 
 70461 
 70482 
 70504 
 70525 
 
 9 
 9 
 
 10 
 10 
 
 10 
 
 10. 29501 
 
 29539 
 29518 
 29496 
 29475 
 
 9. 76870 
 
 768.99 
 76928 
 
 76957 
 76986 
 
 12 
 
 '3 
 
 13 
 13 
 14 
 
 10.23130 
 23101 
 23072 
 
 23043 
 23014 
 
 10. 06431 
 
 064-3 
 0^446 
 
 06453 
 06461 
 
 3 
 
 3 
 3 
 3 
 
 A 
 
 9- 93569 
 935 C 2 
 93554 
 93547 
 93539 
 
 5 
 
 4 
 
 -5 
 j 
 
 2 
 
 I 
 
 33 
 
 31 
 33 
 
 33 
 
 34 
 
 7 50 o 
 
 55 52 
 5 44 
 5 36 
 
 55 28 
 
 440 
 4 8 
 4 .6 
 4 24 
 4 32 
 
 9- 70547 
 70568 
 70590 
 70611 
 70633 
 
 II 
 _ll 
 'n 
 
 12 
 12 
 
 10. 29453 
 
 29432 
 
 25410 
 
 29389 
 29367 
 
 9- 770J5 
 77044 
 77073 
 77101 
 
 77130 
 
 14 
 IS 
 15 
 
 16 
 16 
 
 ^10. 22985 
 
 22956 
 22927 
 
 22899 
 
 22870 
 
 10. 0646^ 
 
 06475 
 06423 
 
 06490 
 06408 
 
 4 
 4 
 4 
 4 
 
 A 
 
 9- 93532 
 93525 
 93517 
 935 10 
 93502 
 
 
 
 3 
 
 Cl> 
 
 "7 
 
 J 
 
 35 
 3" 
 37 
 38 
 33 
 
 7 5 20 
 5 12 
 55 4 
 54 6 
 54 48 
 
 4 4 40 
 448 
 4 56 
 S 4 
 5 12 
 
 9- 70&54 
 70675 
 70697 
 70718 
 70739 
 
 '3 
 
 13 
 
 13 
 14 
 
 4 
 
 10. 29346 
 
 25-325 
 29303 
 
 29283 
 29261 
 
 9-77159 
 
 77IS3 
 77217 
 77246 
 77274 
 
 17 
 
 K 
 
 18 
 
 19 
 
 10. 22841 
 22812 
 
 22783 
 22754 
 
 22726 
 
 10. 06505 
 
 06513 
 
 065:0 
 06528 
 
 06535 
 
 4 
 4 
 5 
 5 
 5 
 
 9- 934S5 
 93487 
 934So 
 934/2 
 93465 
 
 ~5 
 24 
 =2f 
 
 12 
 
 rr 
 
 40 
 4' 
 42 
 43 
 43 
 
 7 54 40 
 54 32 
 54 24 
 54 16 
 
 54 8 
 
 4 5 20 
 528 
 5 36 
 5 44 
 
 ? C2 
 
 9. 70761 
 70702 
 "0803 
 70824 
 70846 
 
 14 
 IS 
 IS 
 15 
 
 16 
 
 10. 29239 
 29218 
 29197 
 29170 
 
 29151 
 
 9- 77303 
 77332 
 7736i 
 77390 
 
 774'8 
 
 19 
 
 20 
 2O 
 21 
 21 
 
 to. 22697 
 
 22668 
 22639 
 22610- 
 
 22582 
 
 10. 06543 
 06550 
 06558 
 06565 
 
 06573 
 
 5 
 5 
 5 
 5 
 5 
 
 9-93457 
 93450 
 9344 2 
 93435 
 
 93427 
 
 :o 
 19 
 
 Io 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 7 54 o 
 53 52 
 53 44 
 53 36 
 53 28 
 
 460 
 
 6 8 
 6 *6 
 6 24 
 6 52 
 
 9. 70867 
 70SS3 
 70909 
 70931 
 70952 
 
 10 
 
 16 
 17 
 
 \l 
 
 10. 29133 
 29112 
 29091 
 29069 
 
 29048 
 
 9- 77447 
 774/6 
 77505 
 77533 
 77562 
 
 22 
 22 
 23 
 
 23 
 24 
 
 io. ,22553 
 
 22524 
 
 22495 
 
 22467 
 22438 
 
 10. 06580 
 
 06588 
 06595 
 
 06603 
 06610 
 
 6 
 6 
 6 
 6 
 6 
 
 9.53420 
 93412 
 93405 
 93397 
 93390 
 
 '5 
 
 U 
 13 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 
 54 
 
 7 53 20 
 53 12 
 
 53 4 
 52 S 6 
 52 4& 
 
 4 6 40 
 6 48 
 6 56 
 7 4 
 7 12 
 
 9- 70973 
 "0994 
 71015 
 71036 
 71058 
 
 18 
 18 
 19 
 19 
 19 
 
 10. 29027 
 29006 
 
 28985 
 28964 
 28941 
 
 9- 7759' 
 77619 
 77648 
 77677 
 77706 
 
 24 
 25 
 
 11 
 26 
 
 10. 22409 
 22381 
 22352 
 22323 
 22294 
 
 10.06618 
 06625 
 
 06633 
 06640 
 06648 
 
 6 
 6 
 6 
 7 
 7 
 
 9- 933-2 
 93375 
 93367 
 93360 
 933.52 
 
 IO 
 
 9 
 8 
 
 6 
 
 55 
 56 
 
 11 
 59 
 60 
 
 7 52 40 
 52 32 
 
 S*24 
 
 52 16 
 
 52 8 
 
 52 o 
 
 4 7 20 
 728 
 736 
 7 44 
 
 7, S 2 
 
 8 o 
 
 9- 7^79 
 71100 
 71121 
 71142 
 71163 
 71184 
 
 20 
 20 
 20 
 
 21 
 21 
 21 
 
 10. 28921 
 28900 
 28879 
 
 28858 
 28837 
 
 2SSi6 
 
 9- 77734 
 77763 
 7779' 
 
 77810 
 
 7/349 
 
 77S77 
 
 26 
 27 
 
 11 
 28 
 29 
 
 10. 22266 
 
 22237 
 
 22209 
 22180 
 22151 
 
 22123 
 
 10. 06656 
 
 06663 
 06671 
 06678' 
 
 o66S6 
 06693 
 
 7 
 7 
 7 
 
 7 
 7 
 7 
 
 9- 93344 
 93337 
 933-9 
 933P2 
 933'4 
 93307 
 
 S 
 
 4 
 
 ^ 
 
 2 
 I 
 O 
 
 M. 
 
 Hour P.M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent 
 
 Diff 
 
 Tangent. 
 
 Cosecant. 
 
 Dig. 
 
 Sins. 
 
 II. 
 
 120 59 
 
 20$ 
 
SINES, TANGENTS, AND SECANTS. 
 
 31 = 148 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 tt. 
 
 o 
 I 
 
 2 
 
 3 
 
 4 
 
 7 52 o 
 51 52 
 5 1 44 
 5' 36 
 51 28 
 
 480 
 8 8 
 8 16 
 8 24 
 8 32 
 
 9.71184 
 71205 
 71226 
 
 71247 
 71268 
 
 o 
 
 o 
 I 
 
 I 
 I 
 
 IO. 28816 
 28795 
 2S/74 
 
 2^753 
 28732 
 
 9- 77S77 
 77906 
 
 77935 
 7 J963 
 77992 
 
 o 
 o 
 I 
 I 
 
 2 
 
 10. 22123 
 22094 
 22065 
 22037 
 22008 
 
 IO. 06693 
 06701 
 06709 
 06716 
 06724 
 
 O 
 
 
 o 
 o 
 I 
 
 9- 9337 
 93299 
 93291 
 93284 
 93276 
 
 60 
 59 
 58 
 57 
 56 
 
 6 
 
 8 
 9 
 
 7 51 20 
 
 51 12 
 
 51 4 
 
 50 56 
 50 48 
 
 4 8 40 
 8 48 
 8 56 
 
 9 4 
 
 9 '2 
 
 9- 71289 
 71310 
 
 7'33 
 71352 
 71373 
 
 2 
 2 
 
 2 
 
 3 
 3 
 
 10. 28711 
 28690 
 
 28669 
 28648 
 28627 
 
 9. 7&02O 
 
 78049 
 78077 
 
 78106 
 
 78135 
 
 2 
 
 3 
 3 
 4 
 4* 
 
 10. 21980 
 
 21951 
 21923 
 21894 
 21865 
 
 10.06731 
 
 06739 
 06747 
 06754 
 06762 
 
 
 9. 93269 
 93261 
 
 93253 
 93246 
 
 93^ 
 
 55 
 54 
 S3 
 52 
 
 t! 
 
 10 
 
 ii 
 
 12 
 
 '3 
 14 
 
 7 5 4 
 5" 32 
 5 2 4 
 50 16 
 50 8 
 
 4 9 20 
 9 28 
 9 36 
 9 44 
 9 52 
 
 9- 71393 
 714:4 
 
 7M35 
 71456 
 
 7H77 
 
 3 
 4 
 4 
 4 
 5 
 
 10.28607 
 
 28586 
 28565 
 
 28544 
 
 28523 
 
 9- 78163 
 78192 
 78220 
 78249 
 78277 
 
 5 
 
 6 
 6 
 7 
 
 io. 21837 
 
 21808 
 21780 
 
 21751 
 21723 
 
 io. 06770 
 06777 
 06785 
 
 06793 
 06800 
 
 2 
 2 
 
 2 
 
 9- 93^30 
 93223 
 93 2 i5 
 93 2 7 
 93200 
 
 5 
 
 49 
 48 
 47 
 46 
 
 15 
 
 :6 
 
 17 
 18 
 
 19 
 
 7 50 o 
 49 52 
 49 44 
 49, 36 
 49 28 
 
 4 10 o 
 10 8 
 10 16 
 lo 24 
 10 32 
 
 p 71498 
 71519 
 
 71539 
 71560 
 71581 
 
 5 
 
 1 
 
 6 
 
 7 
 
 10. 28502 
 
 28481 
 28461 
 
 28440 
 
 28419 
 
 9. 78306 
 78334 
 78363 
 78391 
 78419 
 
 7 
 8 
 8 
 9 
 9 
 
 io. 21694 
 
 21666 
 21637 
 
 21609 
 21581 
 
 10. 06808 
 06816 
 06823 
 06831 
 06839 
 
 2 
 2 
 2 
 2 
 
 2 
 
 9- 93192 
 93i 8 4 
 93177 
 93169 
 93161 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 22 
 
 23 
 24 
 
 7 49 20 
 49 '2 
 49 4 
 
 48 56 
 48 48 
 
 4 10 40 
 10 48 
 10 56 
 ii 4 
 
 II 12 
 
 9. 71602 
 71622 
 
 71643 
 71664 
 71685 
 
 7 
 
 8 
 8 
 8 
 
 10. 28398 
 
 28378 
 
 28357 
 28336 
 
 28315 
 
 9- 78448 
 78476 
 78505 
 7^533 
 78562 
 
 9 
 
 10 
 IO 
 
 ii 
 ii 
 
 io. 21552 
 
 21524 
 21495 
 21467 
 21438 
 
 io. 06846 
 06854 
 06862 
 06869 
 06877 
 
 3 
 3 
 
 3 
 3 
 3 
 
 9-93IS4 
 93145 
 9313" 
 93131 
 
 93123 
 
 40 
 39 
 
 1 
 
 25 
 26 
 
 27 
 28 
 29 
 
 7 48 40 
 48 32 
 48 24 
 48 16 
 48 8 
 
 4 II 20 
 
 II 28 
 11 36 
 
 ii 44 
 
 n 52 
 
 9.71705 
 71726 
 
 7 "747 
 71767 
 71788 
 
 9 
 9 
 9 
 
 10 
 10 
 
 io. 28295 
 
 28274 
 28253 
 28233 
 
 28212 
 
 9- 78590 
 76618 
 78647 
 78675 
 78704 
 
 12 
 12 
 13 
 13 
 M 
 
 io. 21410 
 21382 
 
 2-1353 
 
 213:5 
 
 21296 
 
 10.06885 
 06892 
 06900 
 06908 
 06916 
 
 3 
 3 
 3 
 4 
 
 4 
 
 9-93II5 
 93108 
 93100 
 93092 
 93084 
 
 35 
 34 
 33 
 32 
 3t 
 
 3 
 3' 
 
 32 
 33 
 
 34 
 
 7 48 o 
 47'52 
 47 44 
 47 36 1 
 47 28 
 
 4 12 
 12 8 
 12 l6 
 12 24' 
 12 32 
 
 9. 71809 
 71829 
 71850 
 
 71870 
 
 71891 
 
 10 
 n 
 ii 
 ii 
 
 12 
 
 io. 28191 
 
 28171 
 
 28150 
 28130 
 28109 
 
 9- 7732 
 78760 
 
 78789 
 78817 
 
 78845 
 
 14 
 
 IS 
 15 
 
 1 6 
 16 
 
 10. 21268 
 ' 11240 
 
 2I2II 
 2IlS 3 
 2"55 
 
 io. 06923 
 06931 
 
 06939 
 06947 
 06954 
 
 4 
 4 
 4 
 4 
 4 
 
 9- 93077 
 93069 
 93061 
 
 9353 
 93046 
 
 3 
 29 
 28 
 
 27 
 26 
 
 9 
 
 H 
 
 39 
 
 7 47 20 
 47 12 
 
 47 4 
 
 46 56 
 46(48 
 
 4 12 40 
 
 12 48 
 12 56 
 
 13 4 
 
 13 12 
 
 9.71911 
 
 71932 
 71952 
 
 71973 
 71994 
 
 12 
 12 
 13 
 13 
 13 
 
 io. 28089 
 
 28068 
 28048 
 28027 
 28006 
 
 9. 78874 
 78902 
 7 3 93o 
 78959 
 78987 
 
 17 
 17 
 17 
 
 18 
 18 
 
 io. 21126 
 21098 
 21070 
 21041 
 21013 
 
 10. 06962 
 06970 
 06978 
 06986 
 06993 
 
 5 
 5 
 
 5 
 5 
 
 5 
 
 9- 9303 8 
 93030 
 93022 
 93014 
 
 937 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4i 
 
 42- 
 43 
 44 
 
 7 46 40 
 46 32 
 46 24 
 46 16 
 46 8 
 
 4 13 20 
 
 13 28 
 
 3 3 6 
 13 44. 
 >3 52 
 
 9. 72014 
 
 72034 
 72055 
 72075 
 72096 
 
 14 
 14 
 H 
 
 5 
 
 15 
 
 io. 27986 
 27966 
 
 2/945 
 27925 
 27904 
 
 9. 79015 
 
 7943 
 79072 
 79100 
 79128 
 
 19 
 19 
 20 
 20 
 
 21 
 
 io. 20985 
 
 20957 
 
 20928 
 20900 
 
 26872 
 
 io. 07001 
 07009 
 
 07017 
 
 07024 
 
 07032 
 
 5 
 5 
 
 I 
 6- 
 
 9- 92999 
 92991 
 
 92983 
 92976 
 92968 
 
 20 
 19 
 
 18 
 
 17 
 16 
 
 4 
 46 
 
 47 
 48 
 
 49 
 
 7 46 o 
 45 52 
 
 45 44 
 45 36 
 45 28 
 
 4 14 o 
 14 8 
 14 16 
 14 24 
 
 14 3 2 
 
 9. 72116 
 72137 
 72157 
 72177 
 72198 
 
 15 
 16 
 16 
 16 
 '7 
 
 io. 27884 
 2/863 
 
 2/843 
 27823 
 27802 
 
 9. 79156 
 79185 
 
 79213 
 79241 
 79269 
 
 21 
 22 
 
 22 
 23 
 23 
 
 10. 2084.). 
 20815 
 20787 
 20759 
 20731 
 
 10. 07040 
 07048 
 07056 
 07064 
 
 07071 
 
 b 
 6 
 6 
 6 
 6 
 
 9. 92960 
 
 92952 
 92944 
 
 92936 
 92929 
 
 15 
 14 
 13 
 
 12 
 I I 
 
 5 
 5' 
 52 
 53 
 54 
 
 7 45 20 
 45 12 
 45 4 
 44 5 6 
 44 48 
 
 4 14 4 
 14 48 
 14 56 
 
 '5 4 
 15 12 
 
 9. 72218 
 72238 
 
 72259 
 72279 
 72299 
 
 17 
 18 
 18 
 18 
 19 
 
 10. 27782 
 
 27762 
 27741 
 27721 
 27701 
 
 9- 79297 
 79326 
 79354 
 79382 
 79410 
 
 24 
 24 
 25 
 2 5 
 26 
 
 io. 20703 
 
 20674 
 20646 
 20618 
 20590 
 
 10. 07079 
 07087 
 
 07095 
 07103 
 
 07111 
 
 6 
 7 
 7 
 7 
 7 
 
 9.92921 
 
 92913 
 92905 
 92897 
 
 02&JJ9 
 
 IO 
 I 
 
 P 
 
 II 
 
 59 
 60 
 
 7 44 40 
 
 44 3 2 
 44 24 
 44 16 
 44 8 
 44 o 
 
 4 15 20 
 15 28 
 IS 3 6 
 5 44 
 15 52 
 16 o 
 
 9- 7232 
 72340 
 72360 
 
 72381 
 72401 
 72421 
 
 '9 
 19 
 
 20 
 20 
 20 
 21 
 
 10. 27680 
 27660 
 
 27640 
 27619 
 27599 
 27579 
 
 9- 79438 
 79466 
 
 79495 
 79523 
 79551 
 79579 
 
 26 
 26 
 27 
 
 11 
 28 
 
 io. 20562 
 
 20534 
 20505 
 20477 
 20449 
 20421 
 
 io. 07119 
 07126 
 
 07134 
 07142 
 07150 
 07158 
 
 7 
 .7 
 7 
 
 I 
 
 8 
 
 9.92881 
 92874 
 92866 
 92858 
 92850 
 92842 
 
 S 
 4 
 3 
 
 2 
 I 
 
 
 M. 
 
 Hour i 1 . M. 
 
 Hour A. M. 
 
 Cosine. 
 
 DI. 
 
 Secant. 
 
 CousngeffL 
 
 Diff. 
 
 Tingent. 
 
 Cococtint. 
 
 Diff. 
 
 Sine. 
 
 M, 
 
 121 58 
 
SINES, TANGENTS, AND SECANTS. 
 
 32 . _ _ 1 
 
 M. 
 
 Hour A.M. 
 
 Hour p. M. 
 
 Sine. 
 
 Difl. 
 
 Cosecant. 
 
 Tangent. 
 
 Did. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 4 
 
 7 44 o 
 43 5 2 
 43 44 
 43 36 
 
 43 28 
 
 4 16 o 
 16 8 
 16 16 
 16 24 
 16 32 
 
 9- 72421 
 72441 
 72461 
 72482 
 72502 
 
 o 
 o 
 
 I 
 I 
 
 10.27579 
 27559 
 2/539 
 27518 
 27498 
 
 9- 79579 
 79607 
 
 79635 
 79663 
 79691 
 
 O 
 
 o 
 
 I 
 I 
 
 2 
 
 10. 20421 
 
 20393 
 20365 
 
 20337 
 20309 
 
 10. 07158 
 07166 
 07174 
 07182 
 07190 
 
 o 
 o 
 o 
 o 
 I 
 
 9. 92842 
 92834 
 92826 
 92818 
 92810 
 
 60 
 
 59 
 53 
 57 
 56 
 
 6 
 
 8 
 9 
 
 7 43 20 
 43 '2 
 43 4 
 42 56 
 42 48 
 
 4 16 40 
 16 48 
 16 56 
 '7 4 
 
 )7 12 
 
 9. 72522 , 
 72542 
 72562 
 72582 
 72602 
 
 2 
 2 
 
 2 
 
 3 
 3 
 
 10. 27478 
 27458 
 27438 
 27418 
 2739S 
 
 9- 797'9 
 79747 
 79776 
 79804 
 79832 
 
 2 
 
 3 
 3 
 4 
 
 4 
 
 10. 20281 
 
 20253 
 
 20224 
 20196 
 20168 
 
 10. 07197 
 07205 
 07213 
 07221 
 07229 
 
 
 9. 92803 
 
 92795 
 92787 
 92779 
 92771 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 ii 
 
 12 
 13 
 
 '4 
 
 7 42 40 
 
 42 32 
 
 42 24 
 42 16 
 42 8 
 
 4 '7 20 
 
 17 28 
 
 17 3 6 
 '7 44 
 
 17 52 
 
 9. 72622 
 
 72643 
 72663 
 72683 
 727 3 
 
 3 
 4 
 4 
 4 
 5 
 
 10. 27378 
 
 27357 
 27337 
 
 273'7 
 27297 
 
 9. 79860 
 79888 
 79916 
 79944 
 79972 
 
 5 
 
 6 
 6 
 
 7 
 
 10. 20140 
 
 201 12 
 
 20084 
 20056 
 20028 
 
 10.07237 
 07245 
 
 07253 
 07261 
 07269 
 
 2 
 2 
 2 
 
 9 .92 76 j 
 92755 
 92747 
 92739 
 92731 
 
 5 
 49 
 48 
 
 4 l 
 46 
 
 '5 
 16 
 17 
 
 19 
 
 7 42 o 
 
 41 5 2 
 41 44 
 
 41 36 
 
 41 28 
 
 4 18 o 
 18 8 
 18 16 
 18 24 
 18 32 
 
 9- 72723 
 72743 
 
 72763 
 7 2 783 
 72803 
 
 5 
 
 I 
 6 
 6 
 
 10. 27277 
 27257 
 
 27237 
 27217 
 27197 
 
 9. 80000 
 80028 
 80056 
 80084 
 80112 
 
 7 
 
 I 
 8 
 9 
 
 IO. 20OOO 
 19972 
 19944 
 19916 
 19888 
 
 10.07277 
 
 07285 
 
 07 2 93 
 07301 
 
 07309 
 
 2 
 2 
 2 
 2 
 3 
 
 9- 92723 
 92715 
 92707 
 92699 
 92691 
 
 45 
 44 
 43 
 42 
 4 
 
 20 
 
 21 
 
 22 
 23 
 24 
 
 7 41 20 
 
 41 12 
 
 41 4 
 
 40 56 
 40 48 
 
 4 18 40 
 18 48 
 18 56 
 19 4 
 
 19 12 
 
 9- 72823 
 
 72843 
 72863 
 72883 
 72902 
 
 7 
 7 
 
 I 
 8 
 
 10.27177 
 27157 
 27137 
 27117 
 
 27098 
 
 9. 80140 
 80 1 63 
 80195 
 80223 
 80251 
 
 9 
 
 10 
 
 10 
 
 II 
 II 
 
 10. 19860 
 
 19832 
 
 19805 
 
 19777 
 
 '9749 
 
 10.07317 
 07325 
 7333 
 07341 
 07349 
 
 3 
 3 
 3 
 3 
 3 
 
 9- 92683 
 92675 
 92667 
 92659 
 92651 
 
 40 
 39 
 38 
 37 
 36 
 
 26 
 27 
 28 
 29 
 
 7 4 4 
 40 32 
 40 24 
 40 16 
 40 8 
 
 4 19 20 
 
 19 28 
 19 36 
 
 19 44 
 19 52 
 
 9. 72922 
 72942 
 72962 
 72982 
 73002 
 
 8 
 9 
 9 
 9 
 
 10 
 
 10. 27078 
 
 27058 
 27038 
 
 27018 
 26998 
 
 9. 80279 
 80307 
 
 80335 
 80363 
 80391 
 
 12 
 12 
 13 
 
 '3 
 '3 
 
 10. 19721 
 
 9 6 93 
 19665 
 
 '9637 
 19609 
 
 10.07357 
 07365 
 07373 
 07381 
 
 07389 
 
 3 
 3 
 
 4 
 4 
 4 
 
 9. 92643 
 
 92635 
 92627 
 92619 
 92611 
 
 35 
 34 
 33 
 32 
 3' 
 
 3 
 3' 
 32 
 33 
 34 
 
 7 40 o 
 39 52 
 39 44 
 39 36 
 
 39 28 
 
 4 20 o 
 
 20 8 
 20 l6 
 
 20 24 
 
 20 32 
 
 9. 73022 
 
 73 4i 
 73061 
 73081 
 73101 
 
 10 
 
 10 
 II 
 ii 
 ii 
 
 to. 26978 
 
 26959 
 26939 
 
 26919 
 
 26899 
 
 9. 80419 
 80447 
 80474 
 8ojo2 
 80530 
 
 '4 
 14 
 '5 
 '5 
 
 16 
 
 10. 19581 
 
 19553 
 19526 
 19498 
 19470 
 
 10. 07397 
 
 07405 
 
 74 '3 
 07421 
 07429 
 
 4 
 4 
 4 
 
 4 
 5 
 
 9. 92603 
 
 92595 
 92587 
 
 92579 
 92571 
 
 30 
 29 
 28 
 
 27 
 26 
 
 35 
 36 
 
 H 
 39 
 
 7 39 20 
 39 12 
 39 4 
 38 56 
 38 48 
 
 4 20 40 
 
 20 48 
 20 56 
 21 4 
 21 12 
 
 9. 73121 
 
 73140 
 73160 
 73180 
 73200 
 
 12 
 12 
 12 
 '3 
 '3 
 
 10. 26879 
 26860 
 26840 
 26820 
 26800 
 
 9. 80558 
 80586 
 80614 
 80642 
 80669 
 
 16 
 
 17 
 17 
 18 
 18 
 
 10. 19442 
 
 19414 
 19386 
 19358 
 
 933' 
 
 10. 07437 
 
 07445 
 07454 
 07462 
 07470 
 
 5 
 5 
 5 
 5 
 5 
 
 9- 92563 
 92555 
 92546 
 
 92538 
 9253 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 4' 
 42 
 43 
 44 
 
 7 3 8 4 
 38 32 
 38 24 
 38 16 
 38 8 
 
 4 21 2O 
 21 28 
 21 36 
 
 21 44 
 
 21 52 
 
 9. 73219 
 73239 
 73259 
 73278 
 73298 
 
 13 
 H 
 
 '4 
 
 14 
 
 "5 
 
 10. 26781 
 26761 
 
 26741 
 
 26722 
 26702 
 
 9. 80697 
 80725 
 
 80753 
 80781 
 80808 
 
 19 
 
 19 
 20 
 20 
 
 20 
 
 10. 19303 
 19275 
 19247 
 19219 
 19192 
 
 10. 07478 
 07486 
 
 07494 
 
 07502 
 
 07510 
 
 6 
 6 
 6 
 
 9.92522 
 
 925U 
 92506 
 92498 
 9249 
 
 2O 
 
 '7 
 16 
 
 4 I 
 46 
 
 47 
 48 
 
 49 
 
 7 3 o 
 37 52 
 37 44 
 37 36 
 37 28 
 
 4 22 
 22 8 
 22 l6 
 22 24 
 22 32 
 
 9- 733 '8 
 73337 
 73357 
 73377 
 73396 
 
 '5 
 15 
 
 16 
 16 
 16 
 
 10. 26682 
 
 26663 
 26643 
 
 26623 
 26604 
 
 9. 80836 
 80864 
 80892 
 80919 
 
 80947 
 
 21 
 21 
 22 
 22 
 
 23 
 
 10. 19164 
 
 19136 
 
 19108 
 19081 
 19053 
 
 10. 07518 
 
 0752, 
 07535 
 07543 
 07551 
 
 6 
 6 
 6 
 6 
 7 
 
 9. 92482 
 92473 
 92465 
 92457 
 92449 
 
 IS 
 '4 
 '3 
 
 12 
 II 
 
 5 
 5' 
 
 52 
 53 
 54 
 
 7 37 20 
 37 2 
 37 4 
 36 56 
 36 48 
 
 4 22 40 
 22 48 
 22 56 
 
 23 4 
 
 23 12 
 
 9- 734 6 
 73435 
 73455 
 73474 
 73494 
 
 17 
 >7 
 17 
 18 
 18 
 
 10. 26584 
 
 26565 
 26545 
 
 26526 
 26506 
 
 9- 8975 
 81003 
 81030 
 81058 
 81086 
 
 23 
 24 
 24 
 25 
 25 
 
 10. 19025 
 18997 
 18970 
 18942 
 18914 
 
 10.07559 
 -07567 
 
 07575 
 07584 
 07502 
 
 7 
 7 
 7 
 7 
 7 
 
 9- 9 2 44! 
 92433 
 92415 
 92416 
 
 92408 
 
 10 
 I 
 I 
 
 55 
 56 
 
 11 
 
 59 
 60 
 
 7 3 6 4 
 3 6 32 
 3 6 24 
 30 16 
 36 8 
 36 o 
 
 4 23 20 
 
 -23 28 
 23 36 
 
 23 44 
 23 52 
 24 o 
 
 9.735:3 
 73533 
 735S 2 
 73572 
 73591 
 73611 
 
 lo 1 
 9 
 19 
 19 
 
 20 
 20 
 
 10. 26487 
 26467 
 26448 
 
 26428 
 
 26409 
 
 26389 
 
 9.81113 
 81141 
 81169 
 81196 
 81224 
 81252 
 
 26 
 26 
 26 
 27 
 
 \l 
 
 10. 18887 
 
 18059 
 18831 
 
 181:04 
 
 18775 
 
 18748 
 
 10. 07600 
 0760" 
 07616 
 07624 
 
 07533 
 
 07641 
 
 I 
 8 
 8 
 8 
 8 
 
 9. 92400 
 92392 
 92384 
 93370 
 
 923 6 7 
 
 92359 
 
 5 
 4 
 3 
 
 2 
 
 I 
 
 
 M. 
 
 Hour P. M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Dlff 
 
 Secant. 
 
 Cotangent. 
 
 DIP. 
 
 T?.ngt;nt.. 
 
 Coeswnt. 
 
 Dlff. 
 
 Sine. 
 
 M, 
 
 122 57 
 
 210 
 
SINES, TANGENTS, AND SECANTS. 
 33 116 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 DiSf 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 
 2 
 
 3 
 4 
 
 7 3 6 
 35 52 
 35 44 
 35 36 
 35 28 
 
 4 24 o 
 24 8 
 24 16 
 
 24 24 
 24 32 
 
 9. 7361 1 
 73630 
 
 73 6 5 
 73669 
 
 73689 
 
 
 
 o 
 I 
 I 
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 10. 26389 
 26370 
 26350 
 
 26331 
 26311 
 
 9.81252 
 
 81279 
 81307 
 
 8J335 
 81362 
 
 O 
 o 
 
 i 
 I 
 
 2 
 
 10. 18748 
 18721 
 18693 
 18665 
 18638 
 
 10.07641 
 07649 
 07657 
 07665 
 07674 
 
 O 
 
 
 o 
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 1 
 
 9- 92359 
 92351 
 9*343 
 92335 
 92326 
 
 60 
 
 59 
 58 
 57 
 56 
 
 6 
 
 I 
 
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 7 35 20 
 35 '2 
 35 4 
 34 56 
 34 48 
 
 4 24 40 
 24 48 
 24 5 6 
 25 4 
 
 25 12 
 
 9- 73708 
 73727 
 73747 
 73766 
 
 73785 
 
 2 
 2 
 2 
 3 
 3 
 
 10. 26292 
 26273 
 26253 
 26234 
 26215 
 
 9- 81390 
 81418 
 8144-5 
 
 81473 
 81500 
 
 2 
 
 3 
 3 
 4 
 
 4 
 
 10. 18610- 
 
 18582 
 
 '8555 
 18527 
 
 18500 
 
 10. 07682 
 07690 
 07698 
 07707 
 07715 
 
 
 9. 92318 
 92310 
 92302 
 
 92293 
 
 92285 
 
 55 
 54 
 5? 
 52 
 5i 
 
 10 
 
 ii 
 
 12 
 S3 
 '4 
 
 7 34 4 
 34 32 
 34 24 
 34 '6 
 34 8 
 
 4 25 20 
 
 25 23 
 25 -3 
 
 25 44 
 25 52 
 
 9. 75805 
 73824 
 73843 
 73863 
 
 73882 
 
 3 
 
 3 
 4 
 4 
 4 
 
 10.26195 
 26176 
 26157 
 26137 
 26118 
 
 9.81528 
 &5S6 
 81583 
 81611 
 81638 
 
 5 
 
 5 
 
 
 
 6 
 
 10. 18472 
 18444 
 18417 
 18389 
 18362 
 
 10.07723 
 
 0773 
 07740 
 
 07748 
 07756 
 
 I 
 
 2 
 2 
 2 
 2 
 
 9.92277 
 92269 
 
 92260 
 92252 
 92244 
 
 So 
 49 
 48 
 
 47 
 46 
 
 .11 
 
 11 
 19 
 
 7 34 r o 
 33 52 
 33 44 
 33 3 6 
 33 28 
 
 4 26 o 
 26 8 
 26 J6 
 26 24 
 
 26 32 
 
 Q. 73901 
 73921 
 73940 
 
 73959 
 
 73978 
 
 5 
 5 
 
 1 
 .6 
 
 10. 26099 
 26079 
 26060 
 26041 
 
 26C22 
 
 9.81666 
 81693 
 81721 
 8 1 7,5.8 
 81776 
 
 7 
 
 8 
 S 
 9 
 
 10. 18334 
 
 18307 
 18279 
 18252 
 18224 
 
 io. 07765 
 
 07773 
 07781 
 07789 
 07798 
 
 2 
 2 
 2 
 
 3 
 
 3 
 
 9- 92235 
 92227 
 92219 
 92211 
 
 Q22O2 
 
 45 
 44 
 43 
 42 
 4' 
 
 20. 
 21 
 22 
 
 23 
 
 24 
 
 7 33 20 
 33 12 
 33 4 
 
 32 5 6 
 32 4 
 
 4 26 40 
 26 48 
 26 56 
 27 4 
 
 27 12 
 
 9- 73997 
 74i7 
 7403 6 
 740S5 
 74074 
 
 6 
 7 
 
 7 
 
 S 
 
 10. 26003 
 
 25983 
 
 25964 
 25945 
 23926 
 
 9. 81803 
 81831 
 81858 
 81886 
 81913 
 
 9 
 
 10 
 10 
 
 II 
 ii 
 
 10. 18197 
 18169 
 48142 
 18114 
 
 18087 
 
 io. 07806 
 07814 
 07823 
 07831 
 07839 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 92194 
 92IS6 
 92177 
 92169 
 92l6l 
 
 40 
 39 
 38 
 37 
 
 -<5 
 
 2 5 
 26 
 
 27 
 28 
 29 
 
 7 32 40 
 32 32 
 32 24 
 52 16 
 32 8 
 
 4 27 20 
 
 27 28 
 27.36 
 
 27 44 
 27 5- 
 
 9- 74093 
 74"3 
 74132 
 74'5* 
 74170 
 
 8 
 8 
 9 
 9 
 9 
 
 10. 25907 
 
 25887 
 
 25868 
 
 25849 
 25830 
 
 9. 81941 
 81968 
 81996 
 82023 
 82051 
 
 ii 
 12 
 
 12 
 
 3 
 '3 
 
 10. 18059 
 18032 
 18004 
 
 17977 
 17949 
 
 io. 07848 
 07856 
 
 07864 
 07873 
 
 07881 
 
 3 
 
 4 
 4 
 4 
 4 
 
 9.92152 
 92144 
 92136 
 92127 
 92119 
 
 35 
 34 
 
 33 
 
 S 2 
 31 
 
 30 
 3' 
 32 
 33 
 34 
 
 7 3 2 
 3 52 
 3' 44 
 31 36 
 31 28 
 
 4 28 o 
 28 8 
 28 16 
 28 24 
 28 32 
 
 9- 74189 
 
 74208 
 
 74227 
 74246 
 74265 
 
 10 
 
 IO 
 IO 
 10 
 
 II 
 
 10. 25811 
 
 25792 
 25773 
 
 =5754 
 25735 
 
 9. 82078 
 82106 
 
 82133 
 82161 
 82188 
 
 H 
 
 H 
 IS 
 
 3 
 
 10. 17922 
 
 17894 
 17867 
 
 17839 
 17812 
 
 10. 07889 
 07898 
 07906 
 
 07914 
 07923 
 
 4 
 
 4 
 4 
 5 
 5 
 
 9. 92III 
 92IO2 
 92094 
 92086 
 92077 
 
 3 3 
 29 
 28 
 
 27 
 
 :6 
 
 35 
 36 
 37 
 3S 
 39 
 
 7 3' 20 
 
 3 I 12 
 
 31 1 
 
 3 5 6 
 
 3 48 
 
 4 28 40 
 28 48 
 28 56 
 29 4 
 
 29 12 
 
 9- 74284 
 74303 
 74322 
 7434' 
 7436o 
 
 II , 
 
 II 
 
 12 
 12 
 12 
 
 10. 25716 
 25697 
 25678 
 
 25659 
 25640 
 
 9.82215 
 82243 
 82270 
 82298 
 82325 
 
 16 
 16 
 
 17 
 17 
 18 
 
 10.17785 
 17757 
 
 17730 
 17702 
 
 17675 
 
 io. 07931 
 
 07940 
 07948 
 07956 
 07965 
 
 5 
 5 
 5 
 5 
 
 5 
 
 9. 92069 
 92060 
 92052 
 92044 
 92035 
 
 Z5 
 24 
 23 
 
 22 
 21 
 
 43 
 4i 
 42 
 43 
 
 44 
 
 Z, 3 40 
 '3032 
 3 2 4 
 30 16 
 30 8 
 
 4 29 20 
 29 28 
 29 3 6 
 29 44 
 29 52 
 
 9- 74379 
 74398 
 74417 
 74436 
 74455 
 
 13 
 13 
 13 
 
 14 
 
 4 
 
 10.25621 
 
 25602 
 25583 
 25564 
 
 25545 
 
 9. 8ae52 
 82380 
 
 82407 
 
 82435 
 
 82462 
 
 18 
 '9 
 19 
 
 20 
 
 2O 
 
 10. 17648 
 17620 
 
 17593 
 
 17565 
 17538 
 
 io. 07973 
 07982 
 
 07990 
 07998 
 
 08007 
 
 6 
 6 
 6 
 6 
 6 
 
 9.92027 
 92Ol8 
 92OIO 
 92OS2 
 
 9 '993 
 
 2O 
 
 >9 
 18 
 
 12 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 7 30 a 
 29 52 
 29 44 
 
 29 3 6 
 29 28 
 
 4 30 o 
 30 8 
 30 16 
 3 24 
 3 32 
 
 9- 74474 
 74493 
 74512 
 
 7453 
 74549 
 
 '4 
 15 
 
 '5 
 15 
 
 16 
 
 10. 25526 
 
 25507 
 
 25488 
 25469 
 25451 
 
 9. 82489 
 
 82517 
 8254-1 
 82571 
 
 82599 
 
 21 
 21 
 
 22 
 22 
 
 22 
 
 10. 17511 
 
 17483 
 17456 
 17429 
 17401 
 
 10.08015 
 08024 
 08032 
 08041 
 0^049 
 
 6 
 
 6 
 7 
 7 
 7 
 
 9.91985 
 91070 
 919*3 
 9!959 
 9'95' 
 
 15 
 14 
 13 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 J4 
 
 7 eg 20 
 
 29 12 
 
 29 4 
 
 28 56 
 28 48 
 
 4 3 4 
 3048 
 3 5 6 
 31 4 
 
 31 12 
 
 9- 74568 
 
 74587 
 74606 
 74625 
 74644 
 
 16 
 16 
 17 
 >7 
 17 
 
 10. 25432 
 
 25413 
 25394 
 25375 
 25356 
 
 9. 82626 
 
 8:653 
 82681 
 82708 
 82735 
 
 23 
 23 
 24 
 24 
 
 25 
 
 io. 17374 
 
 17347 
 
 >73'9 
 17292 
 17265 
 
 io. 08058 
 08066 
 08075 
 08083 
 08092 
 
 7 
 7 
 
 7 
 
 I 
 
 9.910.42 
 
 91934 
 91925 
 
 91917 
 91968 
 
 10 
 
 6 
 
 55 
 56 
 57 
 5^ 
 59 
 60 
 
 7 28 40 
 28 32 
 28 24 
 28 16 
 2*8 8 
 28 o 
 
 4 3' 20 
 
 31 28 
 
 31 3 6 
 3' 44 
 3' 52 
 32 o 
 
 9. 74662 
 74681 
 74700 
 74719 
 74737 
 74756 
 
 7 
 18 
 18 
 i3 
 19 
 '9 
 
 10. 25338 
 
 253'9 
 25300 
 25281 
 25263 
 25244 
 
 9.82762 
 
 82790 
 
 82817 
 
 82844 
 
 82871 
 82899 
 
 20 
 26 
 27 
 27 
 
 27 
 
 io. 17238 
 17210 
 
 17183 
 17156 
 17129 
 
 17101 
 
 10.08100 
 08109 
 08117 
 08126 
 08134 
 08143 
 
 8 
 8 
 8 
 8 
 8 
 8 
 
 9. 91000 
 91891 
 9 iS 3 
 91874 
 91866 
 91857 
 
 5 
 4 
 3 
 
 2 
 
 I 
 O 
 
 M. 
 
 Hour v. M. 
 
 Hour A.M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Did. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 123 56 
 
SINES, TANGENTS, AND SECANTS. 
 34 145 
 
 M. 
 
 Hour A. M. 
 
 Hour r. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 
 
 I 
 
 2 
 
 3 
 4 
 
 7 28 o 
 
 27 5 2 
 
 27 44 
 27 36 
 27 28 
 
 4 32 o 
 32 8 
 32 16 
 3 2 24 
 32 32 
 
 9- 74756 
 74775 
 74794 
 74812 
 
 74^3' 
 
 O 
 
 I 
 I 
 I 
 
 10. 25244 
 25225 
 25206 
 25188 
 25169 
 
 9. 82899 
 82926 
 
 82953 
 82980 
 83008 
 
 O 
 O 
 
 I 
 I 
 
 2 
 
 10. 17101 
 17074 
 
 17047 
 17020 
 16992 
 
 IO. 08143 
 08151 
 08160 
 08168 
 08177 
 
 O 
 
 o 
 
 o 
 o 
 I 
 
 9.91857 
 
 91849 
 91840 
 91832 
 91823 
 
 60 
 59 
 58 
 57 
 56 
 
 1 
 
 8 
 9 
 
 7 27 20 
 
 27 12 
 
 27 4 
 
 26 56 
 26 48 
 
 4 3 2 4 
 7: 48 
 32 56 
 33 4 
 33 12 
 
 9- 74 8 5o 
 74*68 
 74887 
 74906 
 74924 
 
 2 
 2 
 2 
 2 
 3 
 
 10.25150 
 25132 
 25113 
 25094 
 25076 
 
 9- 83035 
 83062 
 83089 
 83117 
 
 83144 
 
 2 
 
 3 
 
 3 
 4 
 
 4 
 
 10. 16965 
 16938 
 16911 
 
 16883 
 16856 
 
 10.08185 
 08194 
 08202 
 082II 
 08219 
 
 I 
 I 
 I 
 I 
 I 
 
 9-91815 
 91806 
 91798 
 91789 
 91781 
 
 55 
 54 
 53 
 S 2 
 5i 
 
 10 
 
 II 
 
 12 
 
 3 
 
 H 
 
 7 26 40 
 26 32 
 26 24 
 26 16 
 26 8 
 
 4 33 20 
 33 28 
 33 36 
 33 44 
 33 5 2 
 
 9- 74943 
 74961 
 7498o 
 
 74999 
 75017 
 
 3 
 3 
 
 4 
 4 
 4 
 
 10.25057 
 
 25039 
 25020 
 2500] 
 24983 
 
 9.83171 
 83198 
 83225 
 83252 
 83280 
 
 5 
 5 
 
 1 
 
 6 
 
 10. 16829 
 16802 
 
 16775 
 16748 
 
 16720 
 
 10. 08228 
 
 08237 
 
 08245 
 08254 
 08262 
 
 I 
 
 2 
 2 
 2 
 2 
 
 9.91772 
 91763 
 91755 
 91746 
 91738 
 
 So 
 49 
 48 
 47 
 46 
 
 15 
 
 16 
 
 17 
 IS 
 19 
 
 7 26 o 
 
 25 5 2 
 25 44 
 25 36 
 
 25 28 
 
 4 34 o 
 34 8 
 34 16 
 34 24 
 34 3 2 
 
 9- 75036 
 75054 
 75073 
 75091 
 75110 
 
 5 
 5 
 
 6 
 
 10. 24964 
 
 24946 
 24927 
 24909 
 24890 
 
 9- 83307 
 83334 
 83361 
 83388 
 83415 
 
 7 
 7 
 8 
 8 
 9 
 
 10. 16693 
 16666 
 16639 
 16612 
 
 16585 
 
 10.08271 
 08280 
 08288 
 08297 
 
 08305 
 
 2 
 2 
 2 
 
 3 
 3 
 
 9.91729 
 91720 
 91712 
 
 91703 
 91695 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 
 22 
 23 
 24 
 
 7 25 20 
 
 25 >2 
 
 25 1 
 24 56 
 
 24 43 
 
 4 34 40 
 3.4 48 
 34 5 6 
 35 4 
 35 '2 
 
 9- 75 '28 
 75M7 
 75 '65 
 75184 
 75202 
 
 6 
 
 6 
 
 7 
 7 
 7 
 
 10. 24872 
 
 24853 
 24835 
 24816 
 
 24798 
 
 9.83442 
 8347 
 83497 
 83524 
 83551 
 
 9 
 9 
 
 IO 
 
 IO 
 
 II 
 
 10. 16558 
 
 16530 
 16503 
 16476 
 16449 
 
 10. 08314 
 
 08323 
 
 08331 
 08340 
 08349 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 91686 
 
 91677 
 91669 
 91660 
 91651 
 
 40 
 P 
 
 H 
 
 s 
 
 27 
 28 
 
 29 
 
 7 24 40 
 24 32 
 24 24 
 24 16 
 24 8 
 
 4 35 20 
 35 28 
 35 36 
 35 44 
 35 52 
 
 9- 75221 
 75239 
 75258 
 75276 
 
 75294 
 
 8 
 8 
 ,8 
 
 9 
 
 9 
 
 10. 24779 
 
 24761 
 
 24742 
 24724 
 
 24706 
 
 9-83578 
 83605 
 
 83632 
 83686 
 
 II 
 
 12 
 12 
 
 13 
 13 
 
 lo. 16422 
 
 '6395 
 16368 
 16341 
 16314 
 
 10.08357 
 08366 
 
 08375 
 08383 
 
 08392 
 
 4 
 
 4 
 4 
 4 
 4 
 
 9- 91643 
 91634 
 91625 
 
 916.17 
 91608 
 
 35 
 34 
 33 
 3 2 
 3i 
 
 3 
 3' 
 
 -(2 
 
 33 
 
 34 
 
 7 24 o 
 23 52 
 2 3 44 
 23 3^ 
 23 23 
 
 4 36 o 
 36 8 
 36 16 
 36 24 
 3 6 3 2 
 
 9- 75313 
 75331 
 75350 
 75368 
 75386 
 
 9 
 9 
 10 
 10 
 
 IO 
 
 10. 24687 
 24669 
 24650 
 
 24632 
 24614, 
 
 9-83713 
 83740 
 83768 
 
 83795 
 83822 
 
 J4 
 14 
 '4 
 15 
 IS 
 
 10. 16287 
 16260 
 16232 
 16205 
 16178 
 
 10. 08401 
 08409 
 
 08418 
 08427 
 08435 
 
 4 
 
 4 
 5 
 5 
 
 5 
 
 9.91599 
 91591 
 91582 
 91573 
 91565 
 
 30 
 29 
 28 
 
 11 
 
 s 
 
 37 
 3 s 
 39 
 
 7 23 20 
 
 23 12 
 
 23 4 
 
 22 56 
 
 22 48 
 
 4 3 6 40 
 
 3 ^ 
 36 56 
 
 37 4 
 37 I 2 
 
 9. 75405 
 754 2 3 
 75441 
 75459 
 75478 
 
 II 
 II 
 II 
 
 12 
 12 
 
 10. 24595 
 
 24577 
 24559 
 24541 
 24522 
 
 9- 83849 
 83876 
 
 83903 
 8 393P 
 83957 
 
 16 
 16 
 
 17 
 17 
 
 18 
 
 10. 16151 
 
 16124 
 16097 
 
 16070 
 
 16043 
 
 10. 08444 
 
 08453 
 
 08462 
 68470 
 
 08479 
 
 5 
 5 
 5 
 
 9-9I556 
 9'547 
 91538 
 91530 
 91521 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 
 41 
 42 
 
 43 
 
 44 
 
 7 22 40 
 22^2 
 22 24 
 22 l6 
 22 8 
 
 4 37 20 
 37 28 
 37 36 
 37 44 
 37 S 2 
 
 9. 75496 
 755'4 
 75533 
 7555' 
 75569 
 
 12 
 13 
 '3 
 
 '3 
 
 13 
 
 10. 24504 
 24486 
 
 24467. 
 
 24449 
 24431 
 
 9- 83984 
 84011 
 84038 
 84065 
 84092 
 
 18 
 18 
 19 
 '9 
 
 20 
 
 10. 16016 
 
 15989 
 15962 
 
 15935 
 
 15908 
 
 10. 08488 
 08496 
 
 08505 
 
 08514 
 08523 
 
 6 
 6 
 6 
 6 
 6 
 
 9--9I5I2 
 91504 
 
 9H95 
 91486 
 
 91477 
 
 2O 
 19 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 / 22 O 
 21 52 
 21 44 
 
 21 36 
 21 28 
 
 4 38 o 
 38 8 
 38 16 
 38 24 
 38 3 2 
 
 9- 75587 
 75605 
 75024 
 75642 
 75660 
 
 H 
 14 
 
 14 
 >5 
 
 l.S 
 
 10.24413 
 
 24395 
 24-376 
 
 24358 
 24340 
 
 9. 84119 
 84146 
 
 84173 
 84200 
 84227 
 
 2O 
 21 
 21 
 
 22 
 22 
 
 10. 15881 
 
 15854 
 15827 
 
 15800 
 '5773 
 
 10. 08531 
 08540 
 
 08549 
 08558 
 08567 
 
 7 
 7 
 
 7 
 7 
 7 
 
 9-91469 
 91460 
 
 9M5I 
 91442 
 9H33 
 
 5 
 
 14 
 
 13 
 12 
 II 
 
 5 
 5' 
 5 2 
 53 
 54 
 
 7 21 20 
 
 21 12 
 
 21 4 
 
 20 56 
 20 48 
 
 4 38 40 
 3848 
 38 56 
 39 4 
 39 12 
 
 9. 75678 
 75696 
 75714 
 75733 
 7575' 
 
 15 
 16 
 
 16 
 
 16 
 
 17 
 
 10. 24322 
 
 24304 
 24286 
 24267 
 24249 
 
 9- 84254 
 84280 
 
 84307 
 84334 
 84361 
 
 23 
 23 
 23 
 24 
 
 24 
 
 10. 15746 
 
 15720 
 
 5 6 93 
 15666 
 
 15639 
 
 10.08575 
 08584 
 08593 
 
 08602 
 08011 
 
 7 
 
 8 
 
 8 
 8 
 
 9.91425 
 91416 
 91407 
 91398 
 91389 
 
 IO 
 
 6 
 
 55 
 56 
 
 H 
 g 
 
 7 20 40 
 
 20 32 
 2O 24 
 
 20 16 
 
 20 8 
 20 
 
 4 39 20 
 39 28 
 39 36 
 39 44 
 39 S 2 
 40 o 
 
 9- 7S7&9 
 
 75787 
 75805 
 
 75823 
 75841 
 75 8 59 
 
 17 
 "7 
 
 >7 
 18 
 18 
 18 
 
 10. 2423 i 
 
 24213 
 24195 
 24177 
 24159 
 24141 
 
 9. 84388 
 84415 
 84442 
 84469 
 84496 
 84523 
 
 25, 
 2 5 
 26 
 26 
 27 
 27 
 
 10. 15612 
 I55S5 
 15558 
 
 15531 
 
 15504 
 
 15477 
 
 10. 08619 
 08628 
 08637 
 08646 
 08655 
 08664 
 
 8 
 8 
 8 
 8 
 9 
 9 
 
 9-91381 
 9I37 2 
 91363 
 91354 
 9!345 
 91336 
 
 5 
 
 4 
 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 TJiff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Did. 
 
 Sihe. 
 
 M. 
 
 124 55 
 
SINES, TANGENTS, AND SECANTS. 
 
 35 nr 
 
 M, 
 
 I lou A. M. 
 
 Hour p. M. 
 
 Sine 
 
 Dirt. 
 
 Cosecant, 
 
 Tangent. 
 
 Dirt. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Conine. 
 
 M. 
 
 
 
 I 
 
 3 
 
 4 
 
 7 20 o 
 
 19 52 
 
 19 44 
 
 '9 3 a 
 
 10 S 
 
 4 40 O 
 40 8 
 40 TO 
 40 24 
 
 4 3 2 
 
 9. 75859 
 75877 
 75895 
 75913 
 7593" 
 
 O 
 O 
 
 I 
 I 
 I 
 
 IO. 24141 
 24123 
 24105 
 24087 
 
 24069 
 
 9- 845 2 3 
 8} 55 o 
 
 845/6 
 84603 
 
 84630 
 
 o 
 O 
 
 I 
 I 
 2 
 
 10: 15477 
 
 "5450 
 15424 
 
 ^5397 
 '5370 
 
 lo. 08664 
 08672 
 08681 
 oSbgo 
 08699 
 
 O 
 
 o 
 o 
 
 
 
 I 
 
 9-9I3j!6 
 91328 
 
 9'3'9 
 91310 
 91301 
 
 60 
 59 
 5 s 
 57 
 50 
 
 6 
 
 8 
 9 
 
 7 19 20 
 
 19 12 
 
 19 4 
 18 56 
 18 41 
 
 4 40 40 
 40 48 
 
 4 5 6 
 41 4 
 
 41 12 
 
 9- 75949 
 75967 
 759S5 
 76003 
 76021 
 
 I 
 
 2 
 
 2 
 2 
 
 3 
 
 10.24051 
 
 24033 
 24015 
 
 23997 
 23979 
 
 9.840^7 
 84684 
 
 847" 
 84738 
 84764 
 
 2 
 3 
 
 3 
 4 
 4 
 
 10. 15343 
 
 I53i 6 
 15289 
 15262 
 15236 
 
 10. 08708 
 08717 
 08726 
 8734 
 08743 
 
 I 
 I 
 
 I 
 I 
 I 
 
 9. 91292 
 91283 
 91274 
 91266 
 91257 
 
 55 
 54 
 53 
 52 
 5i 
 
 Io 
 
 1 1 
 
 12 
 '3 
 H 
 
 7 18 40^ 
 18 32 
 18 24 
 18 16 
 18 8 
 
 4 41 20 
 
 41 2S 
 
 4i 3 6 
 41 44 
 4' 52 
 
 9. 76039 
 - 76057 
 76075 
 
 7 6 093 
 76111 
 
 3 
 3 
 4 
 4 
 4 
 
 10. 23961 
 
 23943 
 23925 
 23907 
 23889 
 
 9. 84791 
 S 4 8 1 S 
 
 84845 
 84872 
 84899 
 
 4 
 5 
 
 1 
 6 
 
 10. 1520; 
 15182 
 
 15155 
 15128 
 15101 
 
 10. 08752 
 08761 
 08770 
 08779 
 08788 
 
 2 
 2 
 2 
 2 
 2 
 
 9.91248 
 91239 
 91230 
 
 QI22I 
 
 9I2I2 
 
 5 
 49 
 48 
 
 47 
 46 
 
 '5 
 
 16 
 
 i? 
 18 
 
 IT 
 
 7 18 o 
 >7 52 
 17 44 
 '7 3 6 
 17 28 
 
 4 42 o 
 42 8 
 42 16 
 42 24 
 
 42 32 
 
 9. 76129 
 76146 
 76164 
 76182 
 
 76200 
 
 4 
 5 
 5 
 
 6 
 
 10. 23871 
 
 23354 
 23836 
 
 23818 
 
 23800 
 
 9. 84925 
 84952 
 
 84979 
 85006 
 
 85033 
 
 7 
 
 8 
 
 8 
 8 
 
 10. 15075 
 
 15048 
 
 15021 
 
 14994 
 14967 
 
 10. 08797 
 08806 
 
 08815 
 
 08824 
 08833 
 
 2 
 
 2 
 
 3 
 3 
 j 
 
 9. 91203 
 91194 
 9"S5 
 91176 
 91167 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 22 
 23 
 24 
 
 7 "7 20 
 
 17 12 
 
 17 4 
 
 16 56 
 16 4 S 
 
 4 42 40 
 42 48 
 42 56 
 43 4 
 43 12 
 
 9. 76218 
 76236 
 
 76253 
 76271 
 76289 
 
 6 
 6 
 6 
 
 7 
 
 7 
 
 10. 23782 
 
 23764 
 23747 
 23729 
 23711 
 
 9. 85059 
 85086 
 
 85"3 
 85140 
 85166 
 
 9 
 9 
 
 10 
 10 
 
 II 
 
 10. 14941 
 
 14914 
 
 14887 
 
 14060 
 
 14834 
 
 10. 08842 
 
 08851 
 08859 
 08868 
 
 08877 
 
 3 
 
 3 
 j 
 3 
 
 4 
 
 9.91158 
 91149 
 9II41 
 91132 
 91123 
 
 40 
 39 
 3^ 
 37 
 36 
 
 2 5 
 26 
 
 27 
 28 
 29 
 
 7 1 6 40 
 16 32 
 16 24 
 16 16 
 16 8 
 
 4 43 20 
 43 2S 
 43 36 
 43 44 
 
 43 52 
 
 9- 76307 
 76324 
 76342 
 76360 
 
 7637S 
 
 8 
 8 
 8 
 9 
 
 10. 23693 
 
 23676 
 23658 
 
 23640 
 
 23622 
 
 9-85193 
 85220 
 
 85247 
 85273 
 85300 
 
 II 
 
 12 
 12 
 12 
 13 
 
 10. 14807 
 
 14780 
 
 14753 
 M727 
 14700 
 
 lo. 08886 
 
 08895 
 
 08904 
 
 08913 
 
 o8r)22 
 
 4 
 4 
 4 
 4 
 
 4 
 
 9- 9U14 
 91105 
 91090 
 91087 
 91078 
 
 35 
 34 
 33 
 32 
 ji 
 
 3 
 3' 
 32 
 33 
 
 34 
 
 7 16 o 
 15 S 2 
 15 44 
 '5 3 6 
 15 28 
 
 4 44 o 
 44 8 
 44 l6 
 44 24 
 
 44 32 
 
 9- /D395 
 764I3 
 743i 
 76448 
 76466 
 
 9 
 9 
 9 
 
 IO 
 
 IO 
 
 10. 23605 
 235 S 7 
 23569 
 23552 
 23534 
 
 9- 8 53-7 
 85354- 
 85380 
 85407 
 85434 
 
 13 
 '4 
 H 
 
 '5 
 15 
 
 10. 14673 
 14646 
 14620 
 
 14593 
 
 14566 
 
 lo. 08931 
 08940 
 08949 
 o8q 5 8 
 08907 
 
 5 
 
 5 
 
 5 
 5 
 5 
 
 o. 91069 
 9 1 061.1 
 91051 
 91042 
 91033 
 
 3 
 29 
 28 
 
 27 
 26 
 
 11 
 
 37 
 3* 
 39 
 
 7 15 20 
 
 IS 12 
 
 '5 4 
 H S 6 
 14 48 
 
 4 44 40 
 44 4 s 
 44 56 
 45 4 
 45, '2 
 
 9. 76484 
 76501 
 76519 
 76537 
 76554 
 
 10 
 
 II 
 II 
 II 
 
 12 
 
 10. 23516 
 
 23499 
 23481 
 
 23463 
 
 21446 
 
 9. 85460 
 85487 
 855H 
 85540 
 SSS 6 ? 
 
 16 
 
 16 
 16 
 '7 
 17 
 
 10. 14540 
 
 14513 
 
 14486 
 
 14460 
 
 '4433 
 
 lo. 08977 
 
 0X986 
 089(55 
 09004 
 
 09013 
 
 5 
 
 6 
 6. 
 
 r. qio23 
 91014 
 91005 
 90090 
 90987 
 
 25 
 24 
 
 2j 
 22 
 21 
 
 40 
 
 4' 
 
 42 
 
 43 
 
 44 
 
 7 '4 4 
 '4 3 2 
 14 24 
 14 16 
 14 8 
 
 4 45 2 
 45 28 
 45 36 
 45 44 
 
 45 52 
 
 9- /657 2 
 76590 
 76607 
 76625 
 "6642 
 
 12 
 12 
 
 12 
 13 
 
 [3 
 
 10. 23428 
 
 23410 
 23393 
 23375 
 23353 
 
 9- 85594 
 85620 
 85647 
 
 85674 
 85700 
 
 18 
 18 
 19 
 "9 
 
 20 
 
 10. 14406 
 
 14380 
 
 14353 
 143-6 
 
 14300 
 
 10. 09022 
 09031 
 00040 
 oro 49 
 09058 
 
 6 
 6 
 6 
 
 b 
 
 7 
 
 9. 90978 
 90969 
 90960 
 
 995i 
 90942 
 
 2O 
 
 19 
 18 
 
 17 
 
 16 
 
 45 
 46 
 
 47 
 48 
 
 -") 
 
 7 14 o 
 '3 52 
 "3 44 
 '3 3 6 
 13 28 
 
 4 46 o 
 46 8 
 46 16 
 46 24 
 46 32 
 
 9. 76660 
 76677 
 76695 
 76712 
 76730 
 
 13 
 14 
 '4 
 H 
 H 
 
 10. 23340 
 
 23323 
 23305 
 23288 
 
 23270 
 
 9. 85727 
 
 85754 
 85780 
 
 85807 
 85834 
 
 2O 
 2O 
 21 
 21 
 
 22 
 
 10. 14273 
 
 14246 
 14220 
 14193 
 
 14166 
 
 lo. 09007 
 09076 
 09085 
 00094 
 09104 
 
 7 
 7 
 7 
 
 7 
 7 
 
 9- 933 
 90924 
 90915 
 90906 
 90896 
 
 15 
 M 
 Ij 
 
 12 
 II 
 
 5 
 5' 
 
 52 
 53 
 54 
 
 7 IT, 20 
 
 13 12 
 
 >3 4 
 
 12 56 
 12 48 
 
 4 46 40 
 46 48 
 46 56 
 47 4 
 47 12 
 
 9. 76747 
 76765 
 76782 
 76800 
 76817 
 
 >5 
 
 >5 
 
 15 
 16 
 16 
 
 lo. 23253 
 
 23235 
 23218 
 
 23200 
 23 lS 3 
 
 9. 85860 
 85887 
 
 8 59I3 
 85940 
 85967 
 
 22 
 23 
 23 
 4 
 24 
 
 10. 14140 
 
 14113 
 14087 
 
 14060 
 iv33 
 
 10.09113 
 
 00122 
 09131 
 09140 
 09149 
 
 8 
 8 
 8 
 
 8 
 8 
 
 9.90887 
 90878 
 goSoq 
 90860 
 90851 
 
 10 
 
 9 
 8 
 
 1 
 
 55 
 56 
 57 
 53 
 
 I 9 
 60 
 
 7 12 40 
 
 12 32 
 12 24 
 12 l6 
 12 8 
 12 
 
 4 47 20 
 47 28 
 47 36 
 47 44 
 47 52 
 48 
 
 9. 76835 
 76852 
 76870 
 76887 
 76904 
 76922. 
 
 10 
 
 17 
 17 
 
 !7 
 
 12 
 
 10. 23105 
 
 23148 
 
 23130 
 23115 
 23053 
 23073 
 
 9- 85933 
 86020 
 86046 
 86073 
 86100 
 86126 
 
 24 
 25 
 25 
 
 26 
 26 
 
 27 
 
 10. 14007 
 13980 
 13954 
 13927 
 13900 
 
 13874 
 
 10. 09158 
 
 09168 
 09177 
 09186 
 09195 
 09204 
 
 8 
 8 
 9 
 9 
 9 
 9 
 
 9. 90842 
 90832 
 90^23 
 90814 
 90805 
 90790 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour ?. M. 
 
 Hour A.M. 
 
 Coclno. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent 
 
 Cosecant. 
 
 DU. 
 
 Sins 
 
 M. 
 
 12: S4 
 
 313 
 
SINES, TANGENTS, AND SECANTS. 
 36 - 143 
 
 M. 
 
 Hour A.M. 
 
 Hour p. M. 
 
 Sine. 
 
 Dlff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 7 12 
 II 52 
 II 44 
 II 36 
 II 28 
 
 4 48 o 
 48 8 
 48 16 
 
 48 24 
 48 32 
 
 9. 76922 
 76939 
 76957 
 76974 
 76991 
 
 o 
 
 .> 
 
 I 
 I 
 
 I 
 
 10. 23078 
 23061 
 
 23043 
 23026 
 23009 
 
 9.86126 
 
 86153 
 86179 
 86co6 
 86232 . 
 
 O 
 O 
 I 
 I 
 2 
 
 10. 13874 
 
 I3 8 47 
 13821 
 
 13794 
 13768 
 
 10. 09204 
 09213 
 09223 
 
 09232 
 09241 
 
 o 
 o 
 o 
 o 
 I 
 
 9. 90796 
 90787 
 
 90777 
 90768 
 90759 
 
 60 
 
 59 
 58 
 
 y 
 
 8 
 
 9 
 
 7 ii 20 
 
 II 12 
 
 ii 4 
 10 56 
 lo 48 
 
 4 48 40 
 48 48 
 48 56 
 49 4 
 49 '2 
 
 9. 77009 
 77026 
 
 77043 
 77061 
 77078 
 
 I 
 
 2 
 2 
 2 
 
 3 
 
 10. 22991 
 
 22974 
 22957 
 
 22939 
 22922 
 
 9. 86259 
 86285 
 86312 
 86338 
 86365 
 
 2 
 
 3 
 
 n 
 
 a 
 
 4 
 4 
 
 10. 13741 
 
 I37I5 
 13688 
 
 13662 
 '3635 
 
 10. 09250 
 
 09259 
 
 09269 
 09278 
 
 09287 
 
 
 9- 9 750 
 00741 
 90731 
 90722 
 97>3 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 II 
 
 12 
 
 '3 
 
 14 
 
 7 10 40 
 10 32 
 10 24 
 10 16 
 10 8 
 
 4 49 20 
 49 28 
 49 3 6 
 49 44 
 49 5 2 
 
 9- 7795 
 77112 
 
 77"30 
 77H7 
 77164 
 
 3 
 3 
 
 3 
 4 
 4 
 
 10. 22905 
 
 22SS8 
 
 22870 
 
 22853 
 22836 
 
 9. 86392 
 86418 
 86445 
 86471 
 
 86498 
 
 4 
 
 5 
 
 6 
 6 
 
 10. 13608 
 
 13582 
 13555 
 13529 
 13502 
 
 10. 09296 
 09306 
 
 93 '5 
 09324 
 
 9333 
 
 2 
 2 
 2 
 2 
 2 
 
 9- 9 704 
 90694 
 90685 
 90676 
 90667 
 
 5 
 
 49 
 4 S 
 
 47 
 46 
 
 15 
 
 16 
 
 '7 
 iS 
 
 19 
 
 7 10 o 
 9 52 
 9 44 
 9 3 6 
 9 28 
 
 4 50 o 
 50 8 
 50 16 
 5 Z 4 
 5 32 
 
 9- 77l8l 
 77199 
 77216 
 
 77233 
 
 77250 
 
 4 
 S 
 5 
 5 
 5 
 
 10. 22819 
 
 22801 
 22784 
 22767 
 22750 
 
 9. 86524 
 86551 
 86577 
 86603 
 86630 
 
 7 
 7 
 
 8 
 8 
 
 10. 13476 
 
 13449 
 13423 
 13397 
 13370 
 
 10. 09343 
 09352 
 09361 
 09370 
 09380 
 
 2 
 
 2 
 
 3 
 3 
 3 
 
 9.90657 
 90648 
 90639 
 90630 
 90620 
 
 45 
 44 
 
 43 
 42 
 
 41 
 
 20 
 21 
 22 
 23 
 24 
 
 7 9 20 
 9 12 
 
 9 4 
 8 56 
 8 48 
 
 4 5 4 
 5 48 
 50 56 
 
 5' 4 
 51 12 
 
 9. 77268 
 77285 
 77302 
 773 '9 
 77336 
 
 6 
 6 
 6 
 
 7 
 
 7 
 
 10. 22732 
 
 22715 
 
 22698 
 
 22681 
 22664 
 
 9. 86656 
 86683 
 86709 
 86736 
 86762 
 
 9 
 9 
 
 10 
 10 
 
 ii 
 
 10. 13344 
 
 >33'7 
 13291 
 13264 
 13238 
 
 10. 09389 
 09398 
 094*8 
 09417 
 09426 
 
 3 
 3 
 3 
 
 4 
 4 
 
 9. 90611 
 90602 
 90592 
 90583 
 90574 
 
 40 
 39 
 38 
 37 
 36 
 
 25 
 26 
 27 
 28 
 29 
 
 7 8 40 
 
 8 32 
 8 24 
 8 16 
 8 8 
 
 4 5 1 20 
 51 28 
 51 36 
 
 5' 44 
 51 52 
 
 9- 77353 
 773/0 
 77387 
 77405 
 77422 
 
 7 
 
 8 
 
 8 
 
 10. 22647 
 22630 
 22613 
 
 22595 
 22578 
 
 9. 86789 
 86815 
 86842 
 86868 
 86894 
 
 ii 
 ii 
 
 12 
 12 
 
 13 
 
 10. 13211 
 13185 
 I3'5 
 13 '32 
 13106 
 
 10. 09435 
 
 09445 
 09454 
 9 1 6 3 
 09473 
 
 4 
 4 
 4 
 4 
 5 
 
 9. 90565 
 
 90555 
 90546 
 
 90537 
 90527 
 
 35 
 34 
 33 
 32 
 3J 
 
 3 
 3' 
 
 32 
 33 
 
 34 
 
 780 
 7 52 
 7 44 
 7 36 
 728 
 
 4 52 o 
 
 52 I 
 52 16 
 
 5 2 24 
 
 S 2 32 
 
 9- 77439 
 77456 
 77473 
 77490 
 77507 
 
 9 
 9 
 9 
 9 
 10 
 
 10. 22501 
 
 22544 
 22527 
 
 22510 
 22493 
 
 o. 86921 
 ' 86947 
 86974 
 87000 
 87027 
 
 '3 
 H 
 H 
 15 
 5 
 
 10. 13079 
 
 I3 53 
 13026 
 13000 
 12973 
 
 10. 09482 
 09491 
 09501 
 09510 
 09520 
 
 5 
 
 5 
 5 
 5 
 5 
 
 9. 90518 
 90509 
 90499 
 90490 
 90480 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 36 
 
 3^ 
 39 
 
 7 7 20 
 7 12 
 
 7 4 
 6 56 
 6 48. 
 
 4 S 2 4 
 
 52 4 s 
 
 S 2 56 
 53 4 
 53 12 
 
 9- 775 2 4 
 77541 
 77558 
 77575 
 77592 
 
 10 
 10 
 
 II 
 II 
 II 
 
 10. 22476 
 
 22459 
 22442 
 22425 
 
 22408 
 
 9- 87053 
 87079 
 87106 
 87132 
 87158 
 
 15 
 16 
 16 
 '7 
 17 
 
 10. 12947 
 12921 
 
 12894 
 12868 
 12842 
 
 10. 09529 
 
 09538 
 09548 
 
 09557 
 
 09566 
 
 \ 
 
 6 
 6 
 6 
 
 9. 90471 
 90462 
 90452 
 9443 
 9434 
 
 2 5 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 44 
 
 7 6 40 
 6 32 
 6 24 
 6 16 
 6 8 
 
 4 53 20 
 53 28 
 53 36 
 53 44 
 53 52 
 
 9- 77609 
 77626 
 
 77643 
 77660 
 
 77677 
 
 II 
 
 12 
 12 
 12 
 >3 
 
 10. 22391 
 
 22374 
 22357 
 22340 
 22323 
 
 9.87185 
 87211 
 87238 
 87264 
 87290 
 
 18 
 18 
 18 
 19 
 19 
 
 10. 12815 
 
 12789 
 
 12762 
 
 12736 
 
 12710 
 
 10. 09576 
 
 09585 
 09595 
 
 09604 
 09614 
 
 6 
 
 6 
 7 
 7 
 7 
 
 9- 90424 
 94 ' 5 
 90405 
 90396 
 90386 
 
 2O 
 
 J Q 
 
 7 
 
 16 
 
 46 
 
 47 
 48 
 49 
 
 760 
 
 5 5= 
 5 44 
 5 36 
 528 
 
 4 54 o 
 54 8 
 54 16 
 54 24 
 
 54 32 
 
 9- 77694 
 77711 
 77728 
 77744 
 7776i 
 
 >3 
 
 13 
 
 '3 
 
 14 
 
 14 
 
 10. 22306 
 22289 
 22272 
 22256 
 22239 
 
 9- 873 7 
 87343 
 87369 
 87396 
 
 87422 
 
 20 
 20 
 
 21 
 21 
 
 22 
 
 10. 12683 
 
 12657 
 
 12631 
 
 12604 
 
 12578 
 
 lo. 09623 
 09632 
 09642 
 09651 
 09661 
 
 7 
 7 
 7 
 
 8 
 
 9- 90377 
 90368 
 
 935 S 
 90349 
 9 330 
 
 '5 
 M 
 J3 
 
 12 
 II 
 
 5 
 5 
 52 
 53 
 
 54 
 
 7 5 20 
 
 5 '2, 
 
 5 4 
 4 56 
 4 48 
 
 4 54 4 
 54 48 
 54 56 
 55 4 
 55 12 
 
 9- 77778 
 
 77795 
 77812 
 
 77829 
 77846 
 
 "4 
 '5 
 5 
 >5 
 IS 
 
 IO, 22222 
 22205 
 22188 
 22I7I 
 22154 
 
 9- S 744 S 
 87475 
 87501 
 87527 
 87554 
 
 22 
 22 
 23 
 23 
 24 
 
 10. 12552 
 
 12525 
 12499 
 
 12473 
 12446 
 
 10. 09670 
 09680 
 09689 
 
 09699 
 
 09708 
 
 8 
 8 
 8 
 8 
 
 8 
 
 9- 933 
 90320 
 90311 
 90301 
 90292 
 
 10 
 
 9 
 8 
 
 6 
 
 55 
 5 6 
 57 
 58 
 59 
 60 
 
 7 4 40 
 
 4 32 
 4 24 
 4 16 
 4 8 
 4 o 
 
 4 55 20 
 55 28 
 55 36 
 55 44 
 
 55 52 
 
 rfl o 
 
 9. 77862 
 
 77879 
 77896 
 
 779'3 
 77930 
 779^5 
 
 16 
 16 
 16 
 16 
 7 
 17. 
 
 10. 22138 
 
 22I2I 
 22104 
 22087 
 2207O 
 220^4 
 
 9. 87580 
 87606 
 8/633 
 87659 
 87685 
 87711 
 
 24 
 25 
 
 2 1 
 26 
 
 26 
 26 
 
 lo. 12420 
 
 12394 
 12367 
 
 1234' 
 12315 
 
 12289 
 
 . 10. 09718 
 
 09727 
 
 09737 
 09746 
 09756 
 09765 
 
 9 
 9 
 9 
 9 
 9 
 9 
 
 9. 90282 
 
 90273 
 90263 
 
 90254 
 90244 
 90235 
 
 5 
 4 
 
 3 
 
 2 
 I 
 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosins. 
 
 Diff. 
 
 Secant. iCotanent. 
 
 DifT. 
 
 Tangent. 
 
 Cosecant. 
 
 Did. 
 
 Sine. 
 
 M. 
 
 126 53 
 
SINES, TANGENTS, AND SECANTS. 
 37 142 
 
 M. 
 
 Hour A. M. 
 
 Hour p. u. 
 
 Sine. 
 
 Did 
 
 Cosecant. 
 
 Tangent. 
 
 Did 
 
 Cotangent. 
 
 Secant. 
 
 Did 
 
 Cosine. 
 
 M. 
 
 O 
 1 
 
 2 
 
 3 
 
 4 
 
 7 4 o 
 3 52 
 3 44 
 3 36 
 328 
 
 4 5 6 
 56 8 
 56 I& 
 56 24 
 
 5 6 32 
 
 9- 77946 
 77963 
 77980 
 
 77997 
 
 78013 
 
 O 
 O 
 
 I 
 
 10. 22054 
 
 22037 
 22O2O 
 22003 
 21987 
 
 9.87711 
 87738 
 87764 
 87790 
 87817 
 
 
 O 
 
 I 
 I 
 
 2 
 
 10. 12289 
 
 12262 
 12236 
 I22IO 
 12183 
 
 10. 09765 
 
 09775 
 09784 
 
 09794 
 09803 
 
 o 
 O 
 Q 
 
 I 
 
 9- 90235 
 90225 
 90216 
 90206 
 90197 
 
 60 
 
 59 
 58 
 57 
 56 
 
 6 
 8 
 
 Q 
 
 7 3 20 
 3 12 
 3 4 
 
 2 5 6 
 2 48 
 
 4 56 4 
 56 48 
 
 56 56 
 57 4 
 57 12 
 
 9. 78030 
 78047 
 78063 
 78080 
 
 78097 
 
 I 
 
 2 
 
 2 
 2 
 2 
 
 10. 21970 
 
 21953 
 21937 
 2I92O 
 21903 
 
 9- 87843 
 87869 
 87895 
 87922 
 87948 
 
 2 
 
 3 
 3 
 3 
 4 
 
 10. 12157 
 
 I2I3I 
 
 12105 
 12078 
 
 12052 
 
 10. 09813 
 
 09822 
 09832 
 09841 
 
 09851 
 
 
 9- 90187 
 90178 
 90168 
 90159 
 90149 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 II 
 12 
 >3 
 
 4 
 
 7 2 40 
 
 2 32 
 2 2 4 
 
 2 n. 
 2 8 
 
 4 57 20 
 57 28 
 57 36 
 57 44 
 57 5 2 
 
 9.78113 
 78130 
 
 78147 
 78163 
 
 78180 
 
 3 
 
 3 
 3 
 4 
 4 
 
 10.21887 
 21870 
 21853 
 21837 
 2l82O 
 
 9- 87974 
 88000 
 88027 
 88053 
 88079 
 
 4 
 S 
 
 I 
 6 
 
 10. 12026 
 
 I2OOO 
 
 "973 
 11947 
 11921 
 
 10. 09861 
 09870 
 09880 
 
 09889 
 09899 
 
 2 
 2 
 2 
 2 
 2 
 
 9.90139 
 90130 
 90120 
 90111 
 90101 
 
 5 
 49 
 48 
 
 47 
 46 
 
 15 
 1 6 
 
 17 
 
 18 
 
 '9 
 
 72O 
 5 2 
 
 44 
 3 
 28 
 
 4 58 o 
 58 8 
 58 if, 
 58 24 
 
 53 32 
 
 9- 78J97 
 78213 
 78230 
 78246 
 78263 
 
 4 
 4 
 5 
 
 5 
 5 
 
 10. 21803 
 
 21787 
 21770 
 
 2>754 
 
 2"737 
 
 9.88105 
 88131 
 88158 
 88184 
 88210 
 
 7 
 7 
 
 8 ? 
 8 
 
 10. 11895 
 
 11869 
 11842 
 11816 
 11790 
 
 10. 09909 
 
 09918 
 09928 
 
 09937 
 09947 
 
 2 
 
 3 
 3 
 3 
 3 
 
 9- 90091 
 90082 
 90072 
 90063 
 
 53 
 
 45 
 44 
 43 
 42 
 
 41 
 
 20 
 21 
 
 22 
 23 
 24 
 
 7 20 
 
 12 
 
 4 
 o 56 
 o 48 
 
 4 5 s 4o 
 58 48 
 
 5 8 56 
 59 4 
 59 12 
 
 9. 78280 
 78296 
 
 783 '3 
 78329 
 78346 
 
 I 
 6 
 6 
 7 
 
 10. 21720 
 21704 
 21687 
 21671 
 21654 
 
 9. 88236 
 88262 
 88289 
 883,5 
 88341 
 
 9 
 9 
 10 
 
 10 
 10 
 
 to. 11764 
 
 11738 
 
 11711 
 
 11685 
 11659 
 
 10.09957 
 
 09906 
 
 09976 
 
 09986 
 
 00995 
 
 3 
 3 
 4 
 4 
 4 
 
 9.90043 
 
 90034 
 90024 
 90014 
 90005 
 
 40 
 39 
 3 
 37 
 36 
 
 25 
 26 
 27 
 28 
 2 9 
 
 7 o 40 
 o 32 
 o 24 
 
 10 
 
 o 8 
 
 4 59 20 
 59 28 
 59 3 6 
 59 44 
 59 5 2 
 
 9- 7 8 3 6 2 
 78379 
 78395 
 78412 
 78428 
 
 7 
 7 
 
 8 
 8 
 
 10. 21638 
 21621 
 21605 
 21588 
 21572 
 
 9. 88367 
 
 88393 
 88420 
 88446 
 88472 
 
 II 
 
 II 
 
 12 
 12 
 13 
 
 10. 11633 
 11607 
 11580 
 
 "554 
 11528 
 
 10. 10005 
 10015 
 10024 
 
 10034 
 10044 
 
 4 
 
 4 
 4 
 5 
 5 
 
 9.89995 
 89985 
 
 89976 
 89966 
 
 89956 
 
 35 
 34 
 33 
 32 
 3 
 
 3 
 3' 
 
 32 
 33 
 34 
 
 700 
 6 59 S 2 
 59 44 
 59 36 
 59 28 
 
 500 
 o 8 
 o 16 
 o 24 
 o 32 
 
 9. 78445 
 78461 
 78478 
 78494 
 78510 
 
 8 
 9 
 9 
 9 
 9 
 
 10.21555 
 21539 
 
 21522 
 21506 
 21490 
 
 9. 88498 
 88524 
 88550 
 88577 
 88603 
 
 '3 
 >4 
 14 
 14 
 
 5 
 
 I o. 1 1 502 
 11476 
 11450 
 "423 
 "397 
 
 10. 10053 
 10063 
 
 10073 
 
 10082 
 10092 
 
 5 
 5 
 5 
 
 5 
 5 
 
 9.89947 
 89937 
 89927 
 89918 
 89908 
 
 3 
 29 
 28 
 
 27 
 26 
 
 35 
 36 
 
 $ 
 
 39 
 
 6 59 20 
 59 12 
 
 59 4 
 58 56 
 58 48 
 
 5 o 40 
 o 48 
 o 56 
 4 
 
 12 
 
 9- 7 S 527 
 78543 
 78560 
 
 78576 
 78592 
 
 10 
 10 
 10 
 
 10 
 
 II 
 
 10. 21473 
 
 21457 
 
 21440 
 
 21424 
 
 21408 
 
 9. 88629 
 88655 
 88681- 
 88707 
 88733 
 
 15 
 16 
 16 
 "7 
 '7 
 
 10. 113.71 
 "345 
 "3"9 
 11293 
 11267 
 
 IO. 10102 
 101 12 
 I012I 
 10I3I 
 1014! 
 
 b 
 6 
 6 
 6 
 6 
 
 9. 89898 
 89888 
 89879 
 89869 
 89859 
 
 25 
 24 
 '3 
 
 22 
 21 
 
 40 
 4i 
 
 42 
 43 
 44 
 
 6 58 40 
 
 58 32 
 58 24 
 58 16 
 58 8 
 
 5 20 
 
 28 
 36 
 
 44 
 52 
 
 9. 78609 
 78625 
 78642 
 78658 
 78674 
 
 II 
 II 
 
 12 
 12 
 
 12 
 
 10. 21391 
 
 21375 
 21358 
 21342 
 
 21326 
 
 9- 88759 
 88786 
 88812 
 88838 
 88864 
 
 '7 
 
 Io 
 
 IS 
 9 
 "9 
 
 10.1 1241 
 11214 
 11188 
 11162 
 11136 
 
 10. 10151 
 
 I0l6o 
 IOI70 
 10IOO 
 10190 
 
 6 
 
 7 
 7 
 7 
 7 
 
 9- 89849 
 89840 
 89830 
 89820 
 89810 
 
 20 
 
 19 
 18 
 
 '7 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 6 58 o 
 57 52 
 57 44 
 57 36 
 57 28 
 
 5 2 
 2 8 
 2 16 
 
 2 2 4 
 2 32 
 
 9. 78691 
 78707 
 78723 
 78739 
 78756 
 
 12 
 13 
 
 '3 
 
 13 
 
 13 
 
 10. 21309 
 
 21293 
 21277 
 
 21261 
 
 21244 
 
 9. 88890 
 88916 
 88942 
 88968 
 88994 
 
 20 
 
 20 
 20 
 21 
 21 
 
 10. lino 
 11084 
 11058 
 11032 
 rtoo6 
 
 10. 10199 
 
 10209 
 I02I9 
 1O229 
 10239 
 
 7 
 
 I 
 8 
 
 B 
 
 9. 89801 
 89791 
 8978, 
 89771 
 89761 
 
 15 
 4 
 >3 
 
 12 
 II 
 
 5 
 5 
 
 5= 
 53 
 
 54 
 
 6 57 20 
 57 12 
 57 4 
 56 56 
 56 48 
 
 5 2 40 
 
 2 48 
 2 S 6 
 
 3 4 
 
 3 "2 
 
 9. 78772 
 78788 
 78805 
 78821 
 78837 
 
 '4 
 '4 
 >4 
 >5 
 
 >; 
 
 10. 21228 
 
 2I2I2 
 2II95 
 2II/9 
 21163 
 
 9. 09020 
 89046 
 
 89073 
 3099 
 C 9 I25 
 
 22 
 22 
 2 3 
 23 
 24 
 
 10. 10980 
 10954 
 10927 
 10901 
 10875 
 
 10. 10248 
 10258 
 10-68 
 10278 
 10288 
 
 8 
 8 
 8 
 9 
 9 
 
 9- 8975 2 
 89742 
 89732 
 89722 
 89712 
 
 10 
 
 9 
 
 8 
 
 . 6 
 
 55 
 56 
 
 ? 
 
 59 
 
 60 
 
 6 56 40 
 56 32 
 56 24 
 56 16 
 56 8 
 56 o 
 
 5 3 20 
 3 28 
 3 36 
 3 44 
 3 S 2 
 4 o 
 
 9- 78853 
 78869 
 78886 
 78902 
 78918 
 78934 
 
 5 
 
 "5 
 16 
 16 
 16 
 16 
 
 10. 21147 
 
 2II3I 
 2II14 
 21098 
 21082 
 2IO&6 
 
 9.89151 
 89177 
 89203 
 8 9 229 
 89255 
 
 SgCtii 
 
 24 
 24 
 2 5 
 25 
 26 
 26 
 
 10. 10849 
 
 10823 
 10797 
 10771 
 10745 
 
 10^19 
 
 10. 10298 
 10307 
 10317 
 10327 
 337 
 i347 
 
 9 
 9 
 9 
 9 
 
 10 
 10 
 
 9. 89702 
 89693 
 89683 
 
 896/3 
 89663 
 
 89653 
 
 5 
 4 
 3 
 
 2 
 I 
 O 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 1 Diff. 
 
 Secant. 
 
 Colaneut. 
 
 Din. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 1J 52 
 
 215 
 
SINES, TANGENTS, AND SECANTS. 
 
 38 . m 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sice. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 6 56 o 
 
 55 52 
 55 44 
 55 3 6 
 55 28 
 
 540 
 
 4 8 
 4 16 
 
 4 24 
 
 4 32 
 
 9- 7 S 934 
 78950 
 78967 
 78983 
 78999 
 
 O 
 O 
 
 I 
 I 
 I 
 
 10. 21066 
 21050 
 21033 
 21017 
 2IOOI 
 
 9 89281 
 893 7 
 89333 
 89359 
 89385 
 
 O 
 
 o 
 I 
 I 
 
 2 
 
 10. 10719 
 
 10693 
 10667 
 1064! 
 
 10615 
 
 10. 10347 
 
 I357 
 10367 
 10376 
 10386 
 
 O 
 O 
 
 
 9- 89653 
 89643 
 
 %633 
 89624 
 89614 
 
 60 
 59 
 58 
 57 
 S6 
 
 6 
 
 8 
 9 
 
 6 55 20 
 55 12 
 55 4 
 54 56 
 54 48 
 
 5 4 40 
 448 
 4 5 6 
 5 4 
 
 5 '2 
 
 9- 79' 5 
 793' 
 79047 
 79063 
 79'/9 
 
 I 
 
 2 
 2 
 
 2 
 2 
 
 10. 20985 
 
 20969 
 
 20953 
 20937 
 20921 
 
 9.89411 
 89437 
 89463 
 89489 
 89515 
 
 2 
 
 3 
 3 
 3 
 
 4 
 
 10. 10589 
 
 10563 
 
 >537 
 10511 
 
 10485 
 
 lo. 10396 
 10406 
 10416 
 10426 
 10436 
 
 2 
 
 9. 89604 
 89594 
 89584 
 
 89574 
 89564 
 
 55 
 54 
 53 
 52 
 SI 
 
 10 
 
 II 
 
 12 
 13 
 14 
 
 6 54 40 
 54 3 2 
 54 24 
 54 '6 
 54 8 
 
 5 5 20 
 528 
 5 36 
 5 44 
 5 52 
 
 9- 7995 
 79111 
 79128 
 
 79144 
 79160 
 
 3 
 
 3 
 
 3 
 4 
 
 10. 20905 
 20889 
 20872 
 20856 
 20840 
 
 9. 89541 
 89567 
 89593 
 89619 
 
 89645 
 
 4 
 5 
 
 1 
 
 6 
 
 10. 10459 
 
 10433 
 10407 
 10381 
 i355 
 
 10. 10446 
 10456 
 10466 
 10476 
 
 10486 
 
 2 
 
 2 
 2 
 2 
 2 
 
 9- 89554 
 89544 
 
 89534 
 89524 
 89514 
 
 5 
 49 
 
 47 
 46 
 
 >5 
 16 
 
 \l 
 '9 
 
 6 54 o 
 53 52 
 53 44 
 53 36 
 53 28 
 
 560 
 6 8 
 6 16 
 624 
 6 32 
 
 9.79176 
 79192 
 79208 
 79224 
 79240 
 
 4 
 4 
 5 
 5 
 
 5 
 
 10. 20824 
 
 20808 
 
 20792 
 
 20776 
 
 20760 
 
 9. 89671 
 89697 
 
 89723 
 89749 
 
 89775 
 
 b 
 
 7 
 
 8 
 8 
 
 10. 10329 
 
 10 33 
 10277 
 10251 
 10225 
 
 10. 10496 
 
 10505 
 10515 
 10525 
 
 535 
 
 3 
 3 
 
 3 
 3 
 3 
 
 9- 895 4 
 89495 
 89485 
 
 89475 
 89465 
 
 45 
 44 
 43 
 42 
 4' 
 
 20 
 
 21 
 22 
 23 
 24 
 
 6 53 20 
 53 12 
 
 53 i 
 
 52 56 
 
 52 48 
 
 5 6 40 
 6 48 
 6 56 
 
 7 4 
 
 7 12 
 
 9- 79256 
 79272 
 79288 
 7934 
 793 '9 
 
 6 
 
 6 
 6 
 
 10. 20744 
 20728 
 2071? 
 20696 
 
 20681 
 
 9. 89801 
 89*27 
 89853 
 89879 
 89905 
 
 9 
 9 
 
 10 
 10 
 IO 
 
 lo. 10199 
 10173 
 10147 
 IOI2I 
 
 10095 
 
 10. 10545 
 
 '0555 
 10565 
 
 10575 
 
 10585 
 
 3 
 4 
 4 
 4 
 4 
 
 9. 89455 
 89445 
 89435 
 89435 
 89415 
 
 40 
 39 
 
 I 
 
 2 5 
 26 
 
 27 
 28 
 2 9 
 
 6 52 40 
 52 32 
 52 24 
 52 16 
 
 52 8 
 
 5 7 20 
 7 28 
 7 36 
 7 44 
 7 52 
 
 9- 79335 
 79351 
 793 6 7 
 79383 
 79399 
 
 7 
 
 7 
 7 
 7 
 8 
 
 10. 20665 
 20649 
 20633 
 20617 
 20601 
 
 9- 89931 
 89957 
 89983 
 90009 
 90035 
 
 11 
 II 
 
 12 
 
 12 
 
 3 
 
 10. 10069 
 10043 
 10017 
 09991 
 09965 
 
 10. 10595 
 10605 
 10615 
 10625 
 10636 
 
 4 
 4 
 
 5 
 5 
 S 
 
 9- 89405 
 89395 
 89385 
 
 89375 
 89364 
 
 35 
 34 
 33 
 32 
 3i 
 
 3 
 
 31 
 
 32 
 
 33 
 
 34 
 
 6 52 o 
 
 51 52 
 5 1 44 
 5' 36 
 51 28 
 
 580 
 8 8 
 8 16 
 8 24 
 832 
 
 9- 794'5 
 7943' 
 79447 
 794 6 3 
 79478 
 
 8 
 8 
 8 
 9 
 9 
 
 10. 20585 
 20569 
 
 20553 
 20537 
 
 20522 
 
 9. 90061 
 90086 
 90112 
 90138 
 90164 
 
 '3 
 '3 
 4 
 H 
 15 
 
 10. 09939 
 
 09914 
 09888 
 
 09862 
 09836 
 
 10. 10646 
 10656 
 10606 
 10676 
 10686 
 
 5 
 5 
 
 6 
 
 9- 89354 
 89344 
 89334 
 89324 
 ^93 1 4 
 
 30 
 
 28 
 
 27 
 26 
 
 35 
 36 
 
 37 
 38 
 
 39 
 
 6 51 20 
 
 51 12 
 
 51 4 
 
 5 5 6 
 50 48 
 
 5 8 40 
 8 48 
 8 56 
 
 9 4 
 9 12 
 
 9- 79494 
 79510 
 79526 
 79542 
 79558 
 
 9 
 
 10 
 10 
 
 10 
 10 
 
 10. 20506 
 20490 
 
 20474 
 20458 
 20442 
 
 9. 90190 
 90216 
 90242 
 90268 
 90294 
 
 15 
 16 
 16 
 16 
 '7 
 
 10. 09810 
 
 09784 
 09758 
 09732 
 
 09706 
 
 10. 10696 
 10706 
 10716 
 10726 
 
 10736 
 
 6 
 6 
 6 
 
 6 
 
 7 
 
 9- 89304 
 89294 
 89284 
 
 89274 
 89264 
 
 25 
 24 
 2 3 
 
 22 
 
 21 
 
 40 
 41 
 42 
 43 
 44 
 
 6 50 40 
 
 5 32 
 50 24 
 50 16 
 50 8 
 
 5 9 20 
 9 28 
 9 36 
 9 44 
 9 52 
 
 9- 79573 
 79589 
 79605 
 79621 
 79636 
 
 II 
 II 
 II 
 II 
 
 12 
 
 10. 20427 
 20411 
 
 20395 
 20379 
 20364 
 
 9. 90320 
 90346 
 90371 
 90397 
 90423 
 
 17 
 18 
 18 
 19 
 19 
 
 10. 09680 
 
 09654 
 
 09629 
 
 09603 
 09577 
 
 10. 10746 
 
 10756 
 10767 
 
 0777 
 10787 
 
 7 
 7 
 7 
 7 
 7 
 
 9- 89254 
 89244 
 89233 
 89223 
 89213 
 
 2O 
 19 
 
 18 
 
 17 
 
 16 
 
 45 
 
 4 4 
 47 
 
 48 
 49 
 
 6 50 o 
 49 5 2 
 49 44 
 49 36 
 49 28 
 
 5 10 o 
 10 8 
 10 16 
 10 24 
 
 10 32 
 
 9. 79052 
 79668 
 79684 
 79699 
 79715 
 
 12 
 12 
 12 
 '3 
 
 M 
 
 10. 20348 
 20332 
 20316 
 20301 
 20285 
 
 9. 90449 
 
 90475 
 90501 
 
 90527 
 90553 
 
 19 
 20 
 
 20 
 21 
 21 
 
 10. 09551 
 
 09525 
 
 09499 
 
 09473 
 09447 
 
 10. 10797 
 10807 
 10817 
 10827 
 10838 
 
 8 
 8 
 8 
 8 
 8 
 
 9. 89203 
 
 89193 
 89183 
 
 89173 
 
 89762 
 
 15 
 14 
 13 
 
 12 
 II 
 
 5 
 5' 
 
 2 
 53 
 5^ 
 
 6 49 20 
 49 12 
 
 49 4 
 48 56 
 48 48 
 
 5 10 40 
 
 10 48 
 
 10 56 
 ii 4 
 
 II 12 
 
 9- 7973' 
 79746 
 79762- 
 79778 
 79793 
 
 3 
 
 14 
 14 
 
 14 
 H 
 
 10. 20269 
 20254 
 20238 
 
 20222 
 2O207 
 
 9.90578 
 90604 
 90630 
 90656 
 90682 
 
 22 
 22 
 22 
 23 
 23 
 
 10. 09422 
 
 09396 
 09370 
 09344 
 
 09318 
 
 10. 10848 
 10858 
 10868 
 10878 
 10888 
 
 8 
 9 
 9 
 9 
 9 
 
 9. 89152 
 89142 
 89132 
 89122 
 89112 
 
 IO 
 
 6 
 
 5S 
 56 
 57 
 5 
 59 
 60 
 
 6 48 40 
 
 48 32 
 48 24 
 48 16 
 48 8 
 48 o 
 
 5 II 20 
 II 28 
 II 36 
 
 II 44 
 II 52 
 
 12 O 
 
 9- 79^09 
 79825 
 79840 
 79856 
 79872 
 79887 
 
 '5 
 
 15 
 
 IS 
 
 11 
 
 16 
 
 10. 20191 
 
 20175 
 2Ol6o 
 20144 
 2OI28 
 20II3 
 
 9. 90708 
 
 90734 
 90759 
 90785 
 90811 
 90837 
 
 24 
 24 
 25 
 
 % 
 
 26 
 
 10. 09292 
 09266 
 
 09241 
 09215 
 09189 
 
 09163 
 
 IO. 10899 
 10909 
 
 10919 
 10929 
 
 10940 
 10950 
 
 9 
 9 
 
 10 
 IO 
 IO 
 IO 
 
 9. 89101 
 89091 
 . 89081 
 89071 
 89060 
 89050 
 
 5 
 4 
 3 
 
 2 
 I 
 
 
 
 M. 
 
 Hour p. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 128 51 
 
 310 
 
SINES, TANGENTS, AND SECANTS. 
 39 1 J0 
 
 M. 
 
 Hour A.M. 
 
 Hour !. tl. 
 
 Sine. 
 
 DilT. 
 
 Cosecant, 
 
 Tangent. 
 
 DilT 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine 
 
 M. 
 
 o 
 i 
 
 2 
 
 3 
 
 4 
 
 6 48 o 
 47 S 2 
 47 44 
 47 3 6 
 47 28 
 
 5 12 o 
 
 12 8 
 
 12 16 
 12 24 
 
 12 32 
 
 9- 79SS7 
 
 7993 
 
 79918 
 
 79934 
 
 79950 
 
 o 
 o 
 I 
 I 
 I 
 
 10. 20113 
 20097 
 200^2 
 2O066 
 20050 
 
 9-90S37 
 90863 
 90889 
 90914 
 90940 
 
 o 
 o 
 
 I 
 I 
 
 2 
 
 10. 09163 
 
 09'37 
 09111 
 
 09086 
 
 09060 
 
 10. 10950 
 logSo 
 
 10970 
 10980 
 10991 
 
 O 
 
 o 
 o 
 
 9. 89050 
 89040 
 89030 
 89050 
 89069 
 
 60 
 59 
 
 58 
 
 si 
 
 I 
 
 I 
 9 
 
 6 47 20 
 47 2 
 47 4 
 46 56 
 46 4 S 
 
 5 '2 4 
 12 48 
 12 56 
 
 13 4 
 
 13 12 
 
 9- 799' J 5 
 79981 
 79996 
 
 OOO 1 2 
 
 80027 
 
 I 
 
 2 
 
 2 
 2 
 2 
 
 10. 20035 
 
 20019 
 20004 
 19988 
 19973 
 
 9. 90966 
 90992 
 91018 
 
 9 '043 
 
 91069 
 
 2 
 
 3 
 3 
 3 
 4 
 
 10. 09034 
 09008 
 
 08982 
 
 08957 
 08931 
 
 10. I 1001 
 IIOII 
 IIO22 
 II032 
 1 10.' 2 
 
 2 
 
 9- 88999 
 88989 
 88978 
 88968 
 
 88958 
 
 55 
 54 
 53 
 52 
 <;i 
 
 10 
 
 II 
 
 12 
 13 
 14 
 
 6 46 40 
 
 46 3 2 
 46 24 
 46 16 
 46 8 
 
 5 '3 20 
 
 I 3 28 
 13 36 
 
 "3 44 
 
 >3 52 
 
 9- 8o 43 
 80058 
 80074 
 80089 
 80105 
 
 3 
 3 
 3 
 3 
 
 4 
 
 10. 19957 
 
 19942 
 19926 
 I99II 
 19895 
 
 9.91095 
 91121 
 
 91 '47 
 91172 
 91198 
 
 4 
 5 
 
 6 
 
 10. 08905 
 08879 
 
 08853 
 08828 
 08802 
 
 10. 11052 
 
 IIO03 
 
 H073 
 11083 
 11094 
 
 2 
 2 
 2 
 2 
 2 
 
 9. 88948 
 
 88937 
 1,8927 
 88-917 
 
 88906 
 
 5 
 49 
 48 
 47 
 46 
 
 15 
 
 1 6 
 
 u 
 
 9 
 
 6 46 o 
 45 52 
 45 44 
 45 36 
 45 28 
 
 5 14 o 
 14 8 
 14 16 
 14 24 
 M4 32 
 
 9. 80120 
 80136 
 80151 
 80166 
 80182 
 
 4 
 
 4 
 4 
 5 
 5 
 
 10. 19880 
 
 19864 
 
 19849 
 
 19834 
 19818 
 
 9.91224 
 91250 
 91276 
 91301 
 91327 
 
 6 
 7 
 
 8 
 
 10. 08776 
 
 08750 
 0872+ 
 
 08699 
 
 08673 
 
 io. 11104 
 11114 
 11125 
 
 "135 
 
 11145 
 
 3 
 
 3 
 3 
 3 
 
 3 
 
 9. 88896 
 8SSCS 
 88875 
 88865 
 88855 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 22 
 
 23 
 
 24 
 
 6 45 20 
 45 12 
 45 4 
 
 44 56 
 
 44 48 
 
 5 '4 4 
 1448 
 14 56 
 
 IS 4 
 15 12 
 
 9. 80107 
 80213 
 80228 
 80244 
 80259 
 
 5 
 
 o 
 
 6 
 6 
 
 10. 19803 
 
 19787 
 19772 
 19756 
 19741 
 
 9-91353 
 91379 
 91404 
 
 9 '43 
 
 91456 
 
 9 
 9 
 9 
 10 
 
 10 
 
 10. 08647 
 08621 
 08596 
 08570 
 08544 
 
 io. 11156 
 11166 
 11176 
 11187 
 11197 
 
 3 
 4 
 4 
 4 
 
 4 
 
 9.88844 
 88834 
 88824 
 88813 
 88803 
 
 40 
 
 51 
 
 3 5 
 
 37 
 2& 
 
 25 
 26 
 
 28 7 
 
 29 
 
 (T 44 40 
 44 32 
 44 24 
 44 '6 
 
 44 8 
 
 S '5 20 
 15 28 
 
 15 36 
 
 '5 44 
 
 15 52 
 
 9. 80274 
 0290 
 80305 
 80320 
 80336 
 
 6 
 7 
 7 
 7 
 7 
 
 lo. 19726 
 
 19710 
 19695 
 
 19680 
 
 19664 
 
 9. 91482 
 91507 
 
 9'533 
 9'559 
 
 91585 
 
 II 
 It 
 
 12 
 
 12 
 12 
 
 10.08518 
 
 08493 
 08467 
 08441 
 08415 
 
 10. 11207 
 
 11218 
 11228 
 11239 
 
 11249 
 
 4 
 S 
 
 s 
 
 5 
 
 5 
 
 9. .88 793 
 88782 
 88772 
 88761 
 88751 
 
 35 
 34 
 33 
 J 2 
 3" 
 
 3 
 3' 
 S 2 
 
 33 
 34 
 
 6 44 o 
 43 5 2 
 43 44 
 
 V 36 
 
 43 28 
 
 5 16 o 
 16 8 
 16 16 
 16 24 
 16 32 
 
 9- 80351 
 80366 
 80382 
 
 80397 
 80412 
 
 8 
 8 
 8 
 8 
 9 
 
 10. 19649 
 
 19634 
 19618 
 
 19603 
 
 19588 
 
 9. 91610 
 91636 
 91662 
 91688 
 9I7I3 
 
 13 
 
 13 
 
 '4 
 >4 
 
 IS 
 
 10. 08390 
 08364 
 08338 
 08312 
 
 08287 
 
 io. 11259 
 11270 
 11280 
 11291 
 11301 
 
 5 
 
 
 
 6 
 6 
 
 9. 88741 
 88730 
 88720 
 88709 
 88699 
 
 3 
 29 
 28 
 
 27 
 
 26 
 
 35 
 36 
 
 P 
 
 39 
 
 6 43 20 
 43 >2 
 43 4 
 
 42 s 6 
 
 42 48 
 
 S io 40 
 r6 48 
 16 56 
 17 4 
 
 17 12 
 
 9. 80428 
 80443 
 80458 
 80473 
 80480 
 
 9 
 9 
 9 
 
 10 
 10 
 
 10. 19572 
 
 19557 
 19542 
 19527 
 19511 
 
 9-9"739 
 Si/65 
 91791 
 91816 
 91842 
 
 '5 
 15 
 
 1 6 
 16 
 
 '7 
 
 10. 08261 
 08235 
 08209 
 08184 
 08158 
 
 io. 11312 
 11322 
 
 11332 
 
 M343 
 "353 
 
 6 
 6 
 6 
 7 
 7 
 
 9. 8S6S8 
 88678 
 8S668 
 88657 
 88647 
 
 25 
 24 
 23 
 
 22 
 21 
 
 40 
 41 
 42 
 43 
 
 44 
 
 6 42 40 
 42 3 2 
 42 24 
 42 16 
 42 8 
 
 5 '7 20 
 17 28 
 
 17 36 
 
 7 44 
 '7 52 
 
 9. 80504 
 80519 
 
 80534 
 80550 
 801565 
 
 10 
 
 10 
 II 
 II 
 II 
 
 10. 19496 
 
 19481 
 19466 
 
 19450 
 '9435 
 
 9. 91868 
 
 9 18 93 
 91919 
 
 9 '945 
 
 91971 
 
 '7 
 18 
 18 
 18 
 
 '9 
 
 10. 08132 
 08107 
 
 08081 
 
 08055 
 
 08029 
 
 io. 11364 
 "374 
 "385 
 '1395 
 
 11406 
 
 7 
 
 7 
 7 
 7 
 8 
 
 9. 88636 
 8862$ 
 88615 
 88605 
 88594 
 
 2O 
 19 
 
 18 
 
 '7 
 16 
 
 45 
 46 
 
 47 
 
 4 8 
 
 49 
 
 6 42 o 
 
 42 5 2 
 41 44 
 
 41 36 
 41 28 
 
 5 18 o 
 18 8 
 18 16 
 18 24 
 18 32 
 
 9. 80580 
 80595 
 80610 
 80625 
 80641 
 
 12 
 12 
 12 
 12 
 
 n 
 
 10. 19420 
 19405 
 >939 
 19375 
 >9359 
 
 9.91996 
 92022 
 92048 
 92073 
 92099 
 
 19 
 
 20 
 20 
 21 
 21 
 
 10. 08004 
 
 07978 
 07952 
 0/927 
 
 07901 
 
 io. 11416 
 11427 
 
 "437 
 11448 
 11458 
 
 8 
 8 
 8 
 8 
 9 
 
 9. 8^584 
 
 8S573- 
 88563 
 88552 
 88542 
 
 15 
 4 
 13 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 54 
 
 6 41 20 
 
 41 12 
 
 41 4 
 40 56 
 
 40 48 
 
 5 18 40 
 18 48 
 18 56 
 19 4 
 
 19 12 
 
 9. 80656 
 80671 
 80686 
 80701 
 80716 
 
 13 
 13 
 13 
 14 
 
 '4 
 
 10. 19344 
 19329 
 '934 
 19299 
 19284 
 
 9.92125 
 92150 
 92176 
 92202 
 92227 
 
 21 
 
 22 
 22* 
 2 3 
 23 
 
 10. 07875 
 07850 
 07824 
 
 07798 
 07773 
 
 io. 11469 
 
 11479 
 11490 
 11501 
 11511 
 
 9 
 9 
 9 
 9 
 9 
 
 9.88531 
 88521 
 88510 
 88499 
 88489 
 
 IO 
 
 6 
 
 55 
 5<J 
 
 H 
 & 
 
 6 40 40 
 40 32 
 40 24 
 40 iu 
 40 8 
 40 o 
 
 5 ig 20 
 19 28 
 19 36 
 
 19 44 
 
 19 52 
 
 20 o 
 
 9- 8 73' 
 80746 
 80762 
 80777 
 80792 
 80807 
 
 14 
 '4 
 15 
 15 
 15 
 
 '5 
 
 10. 19269 
 19254 
 19238 
 19223 
 19208 
 I9>93 
 
 9. 92253 
 92279 
 92304 
 9233 
 92356 
 92381 
 
 24 
 2 4 
 24 
 25 
 
 S 5 
 26 
 
 10. 07747 
 
 07721 
 
 07696 
 07670 
 07644 
 07619 
 
 io. 11522 
 
 11532 
 
 "543 
 "553 
 11564 
 
 "575 
 
 IO 
 IO 
 10 
 10 
 IO 
 10 
 
 9. 88478 
 88468 
 
 88457 
 88447 
 88436 
 88425 
 
 5 
 4 
 3 
 
 2 
 1 
 O 
 
 M. 
 
 Hour v, M. 
 
 IIourA.M. 
 
 Cosine 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecani,. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 129 50 
 
 317 
 
SINES, TANGENTS, AND SECANTS. 
 40' - 139 
 
 M. 
 
 Hour A. M. 
 
 Ho\ir p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 o 
 I 
 
 2 
 
 3 
 
 4 
 
 6 40 o 
 
 39 5 2 
 
 39 44 
 39 3 6 
 39 28 
 
 .5 20 
 20 8 
 20 l6 
 20 24 
 
 20 32 
 
 9. 80807 
 80822 
 80837 
 80852 
 80867 
 
 
 
 
 
 
 I 
 
 I 
 
 'o. 19193 
 19178 
 19163 
 19148 
 '9133 
 
 9- 923 S I 
 92407 
 
 92433 
 92458 
 92484 
 
 O 
 O 
 J 
 I 
 
 2 
 
 IO. 07619 
 
 07593 
 07567 
 07542 
 07516 
 
 io. 11575 
 
 "585 
 11596 
 11606 
 11617 
 
 
 
 
 o 
 
 9. 88425 
 88415 
 88404 
 
 88394 
 88383 
 
 60 
 
 59 
 
 5 
 
 11 
 
 6 
 
 8 
 9 
 
 6 39 20 
 39 12 
 39 4 
 3** 5"6 
 38 48 
 
 5 20 40 
 20 48 
 20 56 
 21 4 
 21 12 
 
 9. 80882 
 80897 
 80912 
 80927 
 80942 
 
 I 
 I 
 
 2 
 2 
 2 
 
 10. 19118 
 
 19103 
 19088 
 19073 
 19058 
 
 9.92510 
 
 92535 
 92561 
 
 92587 
 92012 
 
 2 
 
 3 
 
 3 
 3 
 
 4 
 
 io. 07490 
 07465 
 07439 
 
 74 '3 
 
 07388 
 
 io. 11628 
 
 11638 
 11649 
 11-660 
 11670 
 
 2 
 
 9- 88372 
 88362 
 
 88351 
 88340 
 
 88330 
 
 55 
 54 
 53 
 52 
 5i 
 
 10 
 1 1 
 
 12 
 
 3 
 
 14 
 
 6 38 40 
 38 32 
 38 24 
 38 16 
 38 8 
 
 5 21 20 
 21 28 
 21 36 
 21 44 
 
 21 52 
 
 9. 80957 
 80972 
 80987 
 81002 
 81017 
 
 2 
 
 3 
 3 
 3 
 3 
 
 10. 19043 
 19028 
 19013 
 18998 
 18983 
 
 9. 92638 
 92663 
 92689 
 92715 
 92740 
 
 4 
 5 
 
 I 
 
 6 
 
 io. 07362 
 7337 
 073" 
 07285 
 
 07260 
 
 io. 11681 
 11692 
 11702 
 
 "1713 
 
 11724 
 
 2 
 2 
 2 
 
 2 
 
 3 
 
 9.88319 
 88308 
 88298 
 88287 
 88276 
 
 5 
 49 
 
 48 
 
 47 
 46 
 
 15 
 
 16 
 
 17 
 
 18 
 19 
 
 6 38 o 
 37 S 2 
 37 44 
 37 3 6 
 37 28 
 
 5 22 O 
 22 8 
 22 16 
 22 24 
 22 3 2 
 
 9. 81032 
 81047 
 81061 
 81076 
 81091 
 
 4 
 4 
 4 
 4 
 
 5 
 
 10. 18968 
 
 18953 
 18939 
 18924 
 
 18909 
 
 9. 92766 
 92792 
 92817 
 92843 
 92868 
 
 6 
 
 7 
 7 
 8 
 8 
 
 io. 07234 
 07208 
 07183 
 7i57 
 07132 
 
 io. 11734 
 
 11745 
 11756 
 
 1 1 766 
 "'777 
 
 3 
 3 
 3 
 3 
 3 
 
 9. 88266 
 88255 
 88244 
 88234 
 88223 
 
 45 
 44 
 43 
 42 
 41 
 
 20 
 21 
 22 
 
 23 
 
 24 
 
 6 37 20 
 37 12 
 37 4 
 36 56 
 36 4 8 
 
 5 22 40 
 22 48 
 22 56 
 23 4 
 23 12 
 
 9. 8 1 106 
 81121 
 81136 
 81151 
 
 81166 
 
 5 
 5 
 
 6 
 6 
 
 10. 18894 
 
 18879 
 18864 
 18849- 
 18834 
 
 9. 92894 
 92920 
 
 92945 
 92971 
 92996 
 
 9 
 9 
 9 
 
 10 
 10 
 
 io. 07106 
 07080 
 
 07055 
 
 07029 
 
 07004 
 
 ID. 11788 
 
 11799 
 
 11809 
 11820 
 
 11851 
 
 4 
 4 
 4 
 4 
 4 
 
 9. 88212 
 88201 
 88191 
 'SSiSo 
 88169 
 
 40 
 39 
 
 38 
 37 
 3 
 
 11 
 
 27 
 28 
 
 2 9 
 
 6 36 40 
 
 3 f> 32 
 
 36 24 
 
 36 16 
 36 8 
 
 5 23 20 
 23 28 
 23 3 6 
 
 23 44 
 
 23 52 
 
 9. S 1 1 80 
 81195 
 81210 
 81225 
 
 81240 
 
 6 
 6 
 7 
 7 
 7 
 
 10. 18820 
 
 18805 
 18790 
 18775 
 
 18760 
 
 9. 93022 
 93048 
 
 9373 
 9399 
 93 12 4 
 
 ii 
 
 II 
 
 12 
 12 
 12 
 
 io. 06978 
 06952 
 06927 
 06901 
 
 06876 
 
 io. 11842 
 11852 
 11863 
 
 11874 
 
 1 1 Sj 
 
 4 
 5 
 
 5 
 S 
 
 5 
 
 9. 88158 
 88148 
 88137 
 88126 
 88115 
 
 35 
 34 
 33 
 j 2 
 3' 
 
 3 
 3' 
 3 2 
 
 33 
 34 
 
 6 36 o 
 
 35 52 
 
 35 44 
 35 3 6 
 35 28 
 
 5 24 o 
 24 8 
 24 16 
 24 24 
 
 24 3 2 
 
 9.81254 
 81269 
 81284 
 81299 
 81314 
 
 8 
 8 
 8 
 8 
 
 lo. 18746 
 
 18731 
 
 18716 
 18701 
 18686 
 
 9.93150 
 
 93 '75 
 93201 
 
 93 2 27 
 93252 
 
 13 
 13 
 14 
 '4 
 14 
 
 Io. 06850 
 
 06825 
 06799 
 06773 
 
 06748 
 
 io. 11895 
 11906 
 
 1,1917 
 1 1928 
 
 I '939 
 
 I 
 
 6 
 6 
 6 
 
 9.88105 
 88094 
 88083 
 88072 
 88061 
 
 3 
 29 
 
 28 
 
 27 
 26 
 
 35 
 36 
 37 
 38 
 
 39 
 
 6 35 20 
 35 12 
 35 4 
 34 5 6 
 34 48 
 
 5 24 40 
 24 48 
 24 56 
 25 4 
 
 25 12 
 
 9. 81328 
 
 8i343 
 81358 
 
 S'372 
 81387 
 
 9 
 
 9 
 9 
 9 
 
 10 
 
 io. 18672 
 
 18657 
 
 18642 
 18628 
 18613 
 
 9.93278 
 933<>3 
 933 2 9 
 93354 
 933 8 
 
 15 
 
 15 
 16 
 16 
 17 
 
 io. 06722 
 06697 
 06671 
 06646 
 06620 
 
 IO N 11949 
 1 1960 
 11971 
 11982 
 1 1 993 
 
 6 
 6 
 7 
 7 
 7 
 
 9. 88051 
 88040 
 88029 
 88018 
 88007 
 
 25 
 24 
 
 2j 
 22 
 21 
 
 40 
 4' 
 42 
 43 
 
 44, 
 
 6 34 40 
 34 3 2 
 34 24 
 34 "6 
 
 34 8 
 
 5 25 20 
 25 28 
 
 25 3 6 
 25 44 
 25 52 
 
 9. 81402 
 81417 
 81431 
 81446 
 81461 
 
 10 
 
 10 
 10 
 
 II 
 
 II 
 
 io. 18598 
 
 18583 
 
 18569 
 18554 
 18539 
 
 9. 93406 
 93431 
 93457 
 93482 
 9358 
 
 17 
 17 
 18 
 18 
 
 9 
 
 IO. 06594 
 
 06569 
 
 06543 
 
 06518 
 06492 
 
 10. 12004 
 12015 
 12025 
 12036 
 
 12047 
 
 7 
 
 8 
 8 
 8 
 
 9- 8 799 A 
 87985 
 
 879-75 
 87964 
 87953 
 
 2O 
 1') 
 
 iS 
 
 '7 
 16 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 6 34 o 
 33 52 
 33 44 
 33 3 6 
 33 28 
 
 5 26 o 
 26 8 
 26 16 
 26 24 
 
 26 32 
 
 9.81475 
 81490 
 81505 
 81519 
 81534 
 
 II 
 II 
 
 12 
 12 
 12 
 
 10. 18525 
 18510 
 18495 
 18481 
 18466 
 
 9- 93533 
 93559 
 93584 
 93610 
 
 93 6 3 6 
 
 19 
 
 20 
 20 
 20 
 21 
 
 io. 06467 
 
 06441 
 
 06416 
 06390 
 
 06564 
 
 io. 12058 
 12069 
 
 I2oSo 
 I209I 
 1 2 1 02 
 
 8 
 8 
 8 
 9 
 9 
 
 9- 8 7942 
 87931 
 87920 
 87909 
 87898 
 
 '5 
 >4 
 '3 
 
 12 
 I I 
 
 5 
 
 5' 
 5- 
 53 
 54 
 
 6 33 20 
 33 12 
 33 4 
 
 32 5 6 
 3 2 48 
 
 6 26 40 
 26 48 
 26 56 
 
 27 4 
 27 12 
 
 9- 8 '549 
 81563 
 8 I57 8 
 81592 
 81607 
 
 12 
 '3 
 
 '3 
 13 
 13 
 
 io. 18451 
 
 "8437 
 
 18422 
 18408 
 
 '8393 
 
 9. 93" 6 i 
 93687 
 93712 
 9373 s 
 93763 
 
 21 
 22 
 22 
 23 
 
 IO. 06339 
 
 6,3 13 
 
 06288 
 
 06262 
 06237 
 
 10. 124 1 3 
 
 I2I23 
 
 12134 
 I2I45 
 12,56 
 
 9 
 9 
 9 
 
 10 
 IO 
 
 9. 87887 
 87877 
 87866 
 
 87S55 
 87844 
 
 10 
 
 9 
 S 
 
 7 
 6 
 
 55 
 5 6 
 
 ii 
 
 59 
 60 
 
 6 32 40 
 
 32 32 
 32 '24 
 32 16 
 32 8 
 32 o 
 
 5 27 20 
 27 28 
 
 27 36 
 
 27 44 
 27 5 2 
 28 o 
 
 9. 81622 
 81636 
 81651 
 81065 
 81680 
 81694 
 
 H 
 
 '4 
 '4 
 H 
 
 15 
 
 15 
 
 io. 18378 
 
 18364 
 18349 
 
 8335 
 
 18320 
 18306 
 
 9-93/89 
 93814 
 93840 
 
 93865 
 93891 
 93916 
 
 23 
 24 
 
 24 
 
 2 5 
 25 
 
 26 
 
 io. 062 r i 
 06186 
 06160 
 06135 
 06109 
 06084 
 
 Io. 12107 
 12178 
 121X9 
 
 12200 
 I22II 
 12222 
 
 IO 
 IO 
 IO 
 10 
 
 II 
 II 
 
 9- 87833 
 87822 
 87811 
 87800 
 87789 
 87778 
 
 5 
 4 
 3 
 
 2 
 I 
 o 
 
 M. 
 
 Hour r. M 
 
 HoUFA. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 biff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 130 4 
 
 218 
 
SINES, TANGENTS, AND SECANTS. 
 41 138 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cobccant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 o 
 I 
 2 
 
 3 
 4 
 
 6 32 o 
 3 5 2 
 3' 44 
 3> 3 6 
 3 28 
 
 5 28 o 
 28 8 
 28 16 
 28 24 
 28 32 
 
 9. 81694 
 81709 
 81723 
 81738 
 81752 
 
 O 
 O 
 O 
 I 
 I 
 
 IO. 18306 
 18291 
 18277 
 18262 
 18248 
 
 9- 939'6 
 93942 
 93967 
 93993 
 94018 
 
 O 
 O 
 I 
 I 
 
 2 
 
 IO. 06084 
 06058 
 06033 
 06007 
 05982 
 
 10. 12222 
 12233 
 12244 
 12255 
 12266 
 
 
 O 
 O 
 
 9. 87778 
 87767 
 87756 
 87745 
 87734 
 
 60 
 59 
 58 
 
 57 
 56 
 
 I 
 
 8 
 9 
 
 6 31 20 
 
 31 12 
 
 31 i 
 3 56 
 
 3 48 
 
 5 28 40 
 28 48 
 28 56 
 29 4 
 
 29 12 
 
 9.81767 
 81781 
 81796 
 81810 
 81825 
 
 I 
 I 
 
 2 
 2 
 2 
 
 10. 18233 
 18219 
 18204 
 18190 
 
 18175 
 
 9. 94044 
 94069 
 94095 
 94120 
 94146 
 
 2 
 
 3 
 3 
 3 
 4 
 
 10.05956 
 05931 
 
 595 
 05880 
 
 05854 
 
 10. 12277 
 
 12288 
 12299 
 I23IO 
 12321 
 
 2 
 
 9- 87723 
 87712 
 87701 
 87690 
 87679 
 
 55 
 54 
 53 
 52 
 5' 
 
 10 
 
 II 
 
 12 
 
 '3 
 '4 
 
 6 30 40 
 
 3 S 2 
 30 24 
 30 16 
 30 8 
 
 5 29 20 
 29 28 
 2 9 36 
 
 29 44 
 29 52 
 
 9.81839 
 81854 
 81868 
 81882 
 81897 
 
 2 
 
 3 
 3 
 3 
 3 
 
 10. 18161 
 
 18146 
 18132 
 18118 
 18103 
 
 9.94171 
 
 94197 
 94222 
 
 94248 
 942/3 
 
 4 
 
 5 
 
 I 
 
 6 
 
 10. 05829 
 
 05803 
 05778 
 05752 
 05727 
 
 10. 12332 
 
 12343 
 '2354 
 
 12365 
 
 12376 
 
 2 
 2 
 2 
 2 
 3 
 
 9. 87668 
 87657 
 87646 
 
 87635 
 87624 
 
 5 
 49 
 48 
 
 47 
 46 
 
 15 
 16 
 
 '7 
 18 
 
 '9 
 
 6 30 o 
 29 52 
 29 44 
 
 29 36 
 29 28 
 
 5 3 o 
 30 8 
 
 30 16 
 30 24 
 3 3 2 
 
 9.81911 
 81926 
 81940 
 
 81955 
 81969 
 
 4 
 4 
 4 
 4 
 5 
 
 lo. 18089 
 
 18074 
 18060 
 
 18045 
 
 18031 
 
 9- 94299 
 94324 
 9435 
 94375 
 94401 
 
 6 
 7 
 
 8 
 8 
 
 10. 05701 
 05676 
 05650 
 
 05625 
 05599 
 
 10. 12387 
 
 12399 
 
 12410 
 12421 
 12432 
 
 3 
 
 3 
 3 
 3 
 
 4 
 
 9.87613 
 87601 
 87590 
 
 87579 
 87568 
 
 45 
 44 
 43 
 42 
 
 4' 
 
 20 
 21 
 22 
 23 
 24 
 
 6 29 20 
 
 29 12 
 
 29 4 
 
 28 56 
 28 48 
 
 5 3 4 
 30 48 
 30 56 
 31 4 
 
 31 12 
 
 9. 81983 
 81998 
 82012 
 82026 
 82041 
 
 5 
 5 
 5 
 
 
 
 10. 18017 
 18002 
 
 17988 
 17974 
 17959 
 
 9. 94426 
 94452 
 94477 
 94503 
 94528 
 
 
 
 9 
 9 
 
 10 
 IO 
 
 10.05574 
 05548 
 05523 
 05497 
 05472 
 
 10. 12443 
 
 12454 
 12465 
 12476 
 12487 
 
 4 
 4 
 4 
 4 
 4 
 
 9- 8 7557 
 87546 
 87535 
 87524 
 87513 
 
 40 
 39 
 38 
 37 
 36 
 
 11 
 
 27 
 28 
 2 9 
 
 6 28 46 
 28 32 
 28 24 
 28 16 
 28 8 
 
 5 3' 20 
 31 28 
 
 31 36 
 
 3' 44 
 3i 52 
 
 9. 82055 
 82069 
 82084 
 82098 
 82II2 
 
 6 
 6 
 6 
 
 7 
 7 
 
 10. 17945 
 
 1 793' 
 17916 
 17902 
 
 17888 
 
 9- 94554 
 94579 
 94604 
 
 9463 
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SINES, TANGENTS, AND SECANTS. 
 
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SINES, TANGENTS, AND SECANTS. 
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 29 
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 10 56 
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 X V :. 'I 
 
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 16 
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 40 
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 42 
 43 
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 49 52 
 
 9.83914 
 
 83927 
 83940 
 
 83954 
 83967 
 
 9 
 
 9 
 9 
 
 10 
 10 
 
 10. 16086 
 
 16073 
 
 16060 
 16046 
 
 16033 
 
 9- 97978 
 98003 
 98029 
 98054 
 98079 
 
 '7 
 '7 
 18 
 18 
 '9 
 
 IO. O2O22 
 01997 
 OI97I 
 01946 
 OIO2I 
 
 10. 14064 
 14076 
 
 14088 
 
 14100 
 
 14! 12 
 
 8 
 8 
 8 
 9 
 9 
 
 9- 85936 
 85924 
 85912 
 85900 
 85888 
 
 20 
 
 '9 
 18 
 
 '7 
 1 6 
 
 45 
 46 
 
 47 
 48 
 
 49 
 
 6 10 o 
 9 52 
 9 44 
 9 3 6 
 9 28 
 
 5 5 
 50 8 
 
 5 16 
 
 50 24 
 50 32 
 
 9. 83980 
 
 83993 
 84006 
 
 84020 
 84033 
 
 IO 
 10 
 10 
 
 n 
 i.i 
 
 10. 16020 
 16007 
 
 '5994 
 15980 
 15967 
 
 9. 98104 
 98130 
 
 98i55 
 98180 
 98206 
 
 '9 
 '9 
 20 
 
 20 
 21 
 
 IO. 01896 
 01870 
 
 01845 
 01820 
 
 01794 
 
 10. 14124 
 
 14136 
 14149 
 14161 
 '4'73 
 
 9 
 
 9 
 9 
 
 10 
 IO 
 
 9. 85876 
 85864 
 85851 
 85839 
 85827 
 
 '5 
 H 
 13 
 
 12 
 II 
 
 SO 
 
 5" 
 
 S 2 
 53 
 54 
 
 6 9 20 
 9 12 
 
 9 4 
 
 8 56 
 8 48 
 
 5 5 40 
 50 48 
 50 56 
 
 5' 4 
 
 51 12 
 
 9. 84046 
 84059 
 84072 
 84085 
 84098 
 
 II 
 
 II 
 
 12 
 
 12 
 12 
 
 10. 15954 
 15941 
 15928 
 
 15915 
 15902 
 
 9-98231 
 98256 
 98281 
 98307 
 98332 
 
 21 
 22 
 22 
 22 
 23 
 
 10, 01769 
 
 01744 
 01719 
 
 01693 
 01668 
 
 10. 14185 
 
 14197 
 14209 
 14221 
 
 14234 
 
 10 
 IO 
 10 
 
 1 1 
 ii 
 
 9.85815 
 85803 
 85791 
 
 85779 
 85766 
 
 10 
 
 7 
 6 
 
 55 
 56 
 57 
 58 
 59 
 60 
 
 6 8 40 
 
 S3 2 
 8 24 
 8 16 
 8 8 
 8 o 
 
 5 51 20 
 
 51 28 
 
 5' 36 
 
 5' 44 
 
 5' 5-2 
 52 o 
 
 9- S4II2 
 8 4 t2 5 
 84138 
 84151 
 84164 
 84177 
 
 12 
 12 
 13 
 
 3 
 
 13 
 13 
 
 10. 15888 
 
 '5875 
 
 15862 
 15849 
 
 15836 
 
 15823 
 
 9-98357 
 98383 
 98408 
 
 9 S 433- 
 98458 
 
 98484 
 
 23 
 24 
 
 24 
 24 
 25 
 25 
 
 10. 01643 
 01617 
 01592 
 01567 
 01542 
 01516 
 
 10. 14246 
 
 14258 
 14270 
 
 14282 
 14294 
 
 14307 
 
 u 
 n 
 1 1 
 
 12 
 12 
 12 
 
 9- 8 5754 
 85742 
 
 8573 
 85718 
 85706 
 85693 
 
 5 
 4 
 3 
 
 2 
 I 
 
 
 M. 
 
 Hour r. M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff 
 
 Secant. 
 
 Cotangent 
 
 Diff 
 
 Tangent. 
 
 Cosecant. 
 
 Diff 
 
 Sine. 
 
 M. 
 
 133 40 
 
 221 
 
SINES, TANGENTS, AND SECANTS. 
 44 
 
 35 
 
 M. 
 
 Hour A. M. 
 
 Hour p. M. 
 
 Sine. 
 
 Diff. 
 
 Cosecant. 
 
 Tangent. 
 
 Diff. 
 
 Cotangent. 
 
 Secant. 
 
 Diff. 
 
 Cosine. 
 
 M. 
 
 O 
 
 I 
 
 2 
 
 3 
 
 4 
 
 680 
 
 7 52 
 7 44 
 7 3 6 
 
 7 28 
 
 5 52 o 
 52 8 
 52 16 
 S 2 24 
 
 S 2 32 
 
 9.84177 
 84190 
 84203 
 84216 
 84229 
 
 O 
 
 
 
 
 I 
 I 
 
 10. 15823 
 15810 
 '5797 
 15784 
 I577J 
 
 9.98484 
 98509 
 
 98534 
 98560 
 
 98585 
 
 O 
 
 - o 
 I 
 I. 
 
 2 
 
 10. 01516 
 
 01491 
 01466 
 01440 
 OI 4 I5 
 
 10. 14307 
 
 I43I9 
 14331 
 14343 
 14355 
 
 O 
 O 
 
 o 
 
 9. 85693 
 85681 
 85669 
 85657 
 85645 
 
 60 
 
 Co 
 
 57 
 16 
 
 I 
 
 8 
 9 
 
 6 7 20 
 7 12 
 
 7 4 
 6 56 
 
 6 48 
 
 5 5 2 4 
 52 48 
 
 S 2 5 6 
 53 4 
 53 '2 
 
 9. 84242 
 84255 
 84269 
 84282 
 84295 
 
 I 
 I 
 
 2 
 
 2 
 2 
 
 10. 15758 
 15745 
 573i 
 15718 
 15705 
 
 9.98610 
 
 98635 
 98661 
 98686 
 98711 
 
 2 
 3 
 
 3 
 3 
 4 
 
 10. 01390 
 
 01365 
 
 01339 
 01314 
 
 oi 289 
 
 10. 14368 
 
 14380 
 14392 
 14404 
 
 14417 
 
 2 
 2 
 
 9- 85632 
 85620 
 85608 
 85596 
 85583 
 
 55 
 54 
 53 
 52 
 5i 
 
 10 
 
 n 
 
 12 
 
 13 
 
 14 
 
 6 6 40 
 6 32 
 6 24 
 6 16 
 6 8 
 
 5 53 20 
 53 28 
 53 3 6 
 53 44 
 53 5 2 
 
 9. 84308 
 84321 
 84334 
 84347 
 84360 
 
 2 
 
 2 
 
 3 
 3 
 3 
 
 10. 15692 
 
 15679 
 15666 
 
 15653 
 15640 
 
 9-98737 
 98762 
 98787 
 98812 
 98838 
 
 4 
 5 
 5 
 
 lo. 01263 
 01238 
 01213 
 
 01188 
 
 01162 
 
 10. 14429 
 
 14441 
 
 14453 
 14466 
 
 14478 
 
 2 
 2 
 
 2 
 
 3 
 
 3 
 
 9.85571 
 85559 
 85547 
 85534 
 85522 
 
 5 
 49 
 48 
 
 47 
 46 
 
 15 
 16 
 17 
 
 19 
 
 660 
 5 52 
 5 44 
 5 36 
 5 28 
 
 5 54 
 54 8 
 54 16 
 54 2 4 
 54 3 2 
 
 9-84373 
 84385 
 84398 
 84411 
 84424 
 
 3 
 
 3 
 4 
 4 
 4 
 
 10. 15627 
 
 15615 
 
 15602 
 
 15589 
 15576 
 
 9.98863 
 98888 
 
 98913 
 98939 
 98964 
 
 6 
 
 7 
 
 8 
 8 
 
 10. 01137 
 
 OIII2 
 01087 
 Olo6l 
 01036 
 
 10. 14490 
 
 14503 
 14515 
 
 I45 2 7 
 14540 
 
 3 
 3 
 4 
 4 
 4 
 
 9.85510 
 
 85497 
 85485 
 
 85473 
 
 85460 
 
 45 
 44 
 43 
 42 
 
 41 
 
 20 
 
 21 
 
 22 
 
 23 
 24 
 
 6 5 20 
 
 5 '2 
 
 5 i 
 4 S 6 
 
 4 48 
 
 5 54 4 
 54 48 
 54 56 
 55 4 
 55 12 
 
 9- 84437 
 84450 
 
 84463 
 84476 
 84489 
 
 4 
 5 
 5 
 5 
 5 
 
 10. 15563 
 
 1555 
 15537 
 15524 
 15511 
 
 9.9%89 
 99015 
 99040 
 99065 
 99090 
 
 8 
 9 
 9 
 10 
 
 10 
 
 IO. 01011 
 
 00985 
 00960 
 
 00935 
 
 00910 
 
 10. 14552 
 14564 
 14577 
 14589 
 14601 
 
 4 
 4 
 5 
 5 
 
 S 
 
 9- 85448 
 85436 
 
 854 2 3 
 85411 
 
 85399 
 
 40 
 39 
 38 
 
 3 J 
 
 2 ? 
 26 
 
 27 
 28 
 
 29 
 
 6 4 40 
 4 32 
 4 t-4 
 4 16 
 4 8 
 
 5 55 20 
 55 28 
 55 3 6 
 55 44 
 55 S 2 
 
 9. 84502 
 84515 
 84528 
 84540 
 
 84553 
 
 6 
 6 
 6 
 6 
 
 10. 15498 
 
 15485 
 15472 
 15460 
 
 15447 
 
 9.99116 
 99141 
 99166 
 99191 
 99217 
 
 ii 
 
 ii 
 ii 
 
 12 
 12 
 
 10. 00884 
 00859 
 00834 
 00809 
 00783 
 
 10. 14614 
 14626 
 
 14639 
 14651 
 
 14663 
 
 5 
 
 I 
 6 
 6 
 
 9- 85386 
 
 85374 
 85361 
 
 85349 
 85337 
 
 35 
 34 
 33 
 32 
 3f 
 
 3 
 3' 
 3 2 
 33 
 34 
 
 640 
 3 S 2 
 3 44 
 336 
 3 28 
 
 5 56 o 
 56 8 
 56 16 
 56 24 
 
 56 32 
 
 9. 84566 
 
 84579 
 84592 
 84605 
 84618 
 
 6 
 
 7 
 7 
 7 
 7 
 
 ID. 15434 
 I542I 
 
 15408 
 
 15395 
 I538 2 
 
 9.99242 
 99267 
 
 99293 
 99318 
 99343 
 
 13 
 13 
 
 3 
 
 14 
 
 H 
 
 10. 00758 
 
 00733 
 00707 
 00682 
 
 00657 
 
 10. 14676 
 
 14688 
 14701 
 
 14713 
 
 14726 
 
 6 
 6 
 
 7 
 7 
 7 
 
 9- 85324 
 85312 
 
 85299 
 85287 
 
 85274 
 
 3 
 29 
 28 
 
 2 7 
 26 
 
 35 
 36 
 37 
 38 
 39 
 
 6 3 20 
 3 12 
 
 3 i 
 
 2 5 6 
 2 48 
 
 5 5 4 
 56 48 
 
 56 56 
 57 4- 
 57 12 
 
 9. 84630 
 84043 
 84656 
 84669 
 84682 
 
 8 
 8 
 8 
 8 
 3 
 
 10. 15370 
 
 15357 
 15344 
 15331 
 15318 
 
 9.99368 
 99394 
 99419 
 99444 
 99469 
 
 15 
 \l 
 
 10 
 
 16 
 
 10. 00632 
 00606 
 00581 
 
 00556 
 00531 
 
 10. H73 8 
 
 14750 
 14763 
 
 14775 
 14788 
 
 7 
 
 8 
 8 
 8 
 
 9. 85262 
 85250 
 
 85237 
 85225 
 85212 
 
 25 
 24 
 2 3 
 
 22 
 21 
 
 40 
 41 
 4 2 
 43 
 
 44 
 
 6 2 40 
 2 32 
 2 24 
 
 2 in 
 2 8 
 
 5 57 20 
 57 28 
 57 3 6 
 57 44 
 57 5 2 
 
 9- 84694 
 84707 
 84720 
 84733 
 84745 
 
 9 
 9 
 9 
 9 
 
 9 
 
 10. 15306 
 
 15293 
 
 15280 
 
 15267 
 15255 
 
 9-99495 
 99520 
 
 99545 
 99570 
 99596 
 
 17 
 17 
 
 18 
 18 
 19 
 
 10. 00505 
 00480 
 
 00455 
 00430 
 
 00404 
 
 10. 14800 
 
 14813 
 14825 
 14838 
 
 14850 
 
 8 
 8 
 9 
 9 
 9 
 
 9. 85200 
 85187 
 
 85-75 
 85162 
 85150 
 
 20 
 '9 
 
 1 8 
 
 17 
 16 
 
 45 
 46 
 
 4 
 48 
 
 49 
 
 62O 
 52 
 
 44 
 36 
 28 
 
 5 58 o 
 
 58 s 
 
 58 16 
 58 24 
 58 32 
 
 9. 84758 
 84771 
 84784 
 
 84796 
 84809 
 
 10 
 10 
 10 
 10 
 
 11 
 
 10. 15242 
 
 15229 
 
 i_;2io 
 15204 
 15191 
 
 9.99621 
 99646 
 99672 
 
 99697 
 99722 
 
 19 
 19 
 20 
 20 
 
 21 
 
 10. 00379 
 
 00354 
 
 00328 
 
 00303 
 
 00278 
 
 10. 14863 
 
 14875 
 
 14888 
 
 14900 
 
 4913 
 
 9 
 lo 
 
 10 
 10 
 10 
 
 9-85137 
 85125 
 85112 
 85100 
 85087 
 
 '5 
 '4 
 '3 
 
 12 
 II 
 
 5 
 5' 
 52 
 53 
 54 
 
 6 20 
 12 
 
 4 
 o 56 
 
 48 
 
 5 5 8 4 
 58 48 
 58 56 
 59 4 
 59 12 
 
 9. 84822 
 84835 
 84847 
 84860 
 84873 
 
 II 
 II 
 II 
 II 
 
 12 
 
 10. 15178 
 
 15165 
 
 15153 
 15140 
 
 15 I2 7 
 
 9-99747 
 99773 
 99798 
 99823 
 99848 
 
 21 
 21 
 22 
 22 
 
 2 3 
 
 10. 00253 
 00227 
 
 00202 
 
 00177 
 
 00152 
 
 10. 14926 
 
 14938 
 14951 
 
 14963 
 14976 
 
 10 
 
 ii 
 ii 
 ii 
 ii 
 
 9. 85074 
 85062 
 85049 
 
 83037 
 85024 
 
 10 
 
 '! 
 
 6 
 
 55 
 56 
 57 
 58 
 
 I 9 
 60 
 
 6 o 40 
 o 32 
 o 24 
 
 : o 1 6 
 o 8 
 
 O 
 
 5 59 20 
 59 28 
 59 36 
 59 44 
 59 52 
 600 
 
 9. 84885 
 84898 
 84911 
 84923 
 84936 
 84949 
 
 12 
 12 
 12 
 12 
 
 13 
 
 3 
 
 10. 15115 
 15102 
 15689 
 15077 
 15064 
 15^51 
 
 9-99874 
 99 S 99 
 99924 
 
 99949 
 99975 
 
 IO.OOOOO 
 
 23 
 24 
 24 
 24 
 2 5 
 
 2 5 
 
 10. 00126 
 
 OOIOI 
 
 00076 
 00051 
 00025 
 ooooo 
 
 lo. 14988 
 15001 
 
 15014 
 
 15026 
 
 15039 
 15051 
 
 1 1 
 
 12 
 12 
 12 
 
 I2 . 
 12' 
 
 9. 85012 
 84999 
 84986 
 84974 
 84961 
 84949 
 
 5 
 4 
 3 
 
 2 
 
 i 
 
 
 
 M. 
 
 Hour P.M. 
 
 Hour A. M. 
 
 Cosine. 
 
 Diff. 
 
 Secant. 
 
 Cotangent. 
 
 Diff. 
 
 Tangent. 
 
 Cosecant. 
 
 Diff. 
 
 Sine. 
 
 M. 
 
 134 45 
 
 222 
 
INDEX 
 
 A 
 
 PAGE 
 
 Altitude, apparent 39 
 
 circles of equal 3 
 
 correction for 39 
 
 meridian 41 
 
 to take an 38 
 
 true S9 
 
 Amplitude 61 
 
 B 
 
 Barometer 69 
 
 mean level of 71 
 
 Beacon 91 
 
 Bearing 10 
 
 compass 11 
 
 conversion of one to the other 11 
 
 cross 21 
 
 bow and quarter 22 
 
 magnetic 11 
 
 of one object 22 
 
 sailing directions by 22 
 
 true 11 
 
 Bells 94 
 
 Buoys 87 
 
 distinction of 87 
 
 names of 87 
 
 whistling 95 
 
 bell 95 
 
 C 
 
 Cannon . . , 93 
 
 Chart, characteristics marked on 18 
 
 currents how marked on 14 
 
 how engraved 14 
 
 Mercator's, advantage of 13 
 
 signs and abbreviations on 17 
 
 tide, how marked on H 
 
 use of 12 
 
 use of different sizes ., 16 
 
224 INDEX. 
 
 PAGE 
 
 Chronometer 35 
 
 error and rate of 36 
 
 Clouds 65 
 
 forms of 65 
 
 Collisions at sea, regulations for preventing 98 
 
 Compass 5 
 
 azimuth 8 
 
 bo ff\ 5 
 
 boxing the 7 
 
 card 5 
 
 cardinal points of the 6 
 
 deviation of the 8 
 
 lubber's point of 5 
 
 needle 5 
 
 points of the 6 
 
 points of the, in degrees 7 
 
 standard 8 
 
 steering 8 
 
 total error of ... GO 
 
 Course 10 
 
 compass 1 1 
 
 conversion of one to the other 11 
 
 made good 26 
 
 magnetic 11 
 
 shaping the 24 
 
 true 11 
 
 Current 74 
 
 drift 75 
 
 sailing 76 
 
 stream 75 
 
 D 
 
 Date, astronomical 40 
 
 civil 40 
 
 Declination 40 
 
 Departure 2(3 
 
 taking the 25 
 
 Deviation 8 
 
 table of 1-2 
 
 to find the 9 
 
 Dip 39 
 
 Distance made good 26 
 
 meridian zenith 41 
 
 E 
 
 Equator 13 
 
 celestial 40 
 
 G 
 
 Gale, straight line 69 
 
 Gongs 93 
 
INDEX. 225 
 
 H 
 
 PAGE 
 
 Hygrometer 71 
 
 Instruments, use of 1 
 
 Icebergs 76 
 
 L 
 
 Latitude 13 
 
 parallels of 13 
 
 Lead, deep sea 2 
 
 hand 2 
 
 Leeway 10 
 
 Light, character of 79 
 
 colored ... 83 
 
 double 1 83 
 
 fixed 79 
 
 flash or intermittent 83 
 
 house . . . 77 
 
 order of 79 
 
 range of 84 
 
 revolving 79 
 
 ship's 86 
 
 ships, how appear 86 
 
 Line of position 54 
 
 error of compass by 61 
 
 Log 2 
 
 adjustments 4 
 
 book 25 
 
 chip 2 
 
 glass 4 
 
 ground 5 
 
 heaving the 4 
 
 line 3 
 
 patent 5 
 
 slate 25 
 
 M 
 
 Meridian 13 
 
 celestial < 35 
 
 first or prime 13 
 
 N 
 
 Navigation, definition of 1 
 
 P 
 
 Parallax 39 
 
 Poles of the earth 13 
 
 of the heavens . 35 
 
226 
 
 R 
 
 PAGE 
 
 Refraction 39 
 
 Rockets 93 
 
 S 
 
 Semi-diameter 39 
 
 Sextant 36 
 
 adjustment of the 37 
 
 index error of . . 38 
 
 to take an altitude with 38 
 
 Siren 96 
 
 Sound signals 93 
 
 importance of 96 
 
 effect of atmospheric conditions 96 
 
 Storm 68 
 
 approach of 72 
 
 centre of, to avoid 74 
 
 centre of, to locate 73 
 
 direction of track 73 
 
 revolving ... 69 
 
 semicircle of 74 
 
 T 
 
 Tables, Explanation of 109 
 
 Thermometer 71 
 
 Tide, causes of 
 
 ebb 
 
 flood 
 
 neap 
 
 time of high tide, how found 15 
 
 Time, apparent 
 
 equation of 46 
 
 mean 46 
 
 Trumpet 
 
 V 
 Variation 
 
 W 
 Whistles 96 
 
 Z 
 Zenith.. 35 
 
 * 
 

 
 
 *$ 
 
 *^H 
 
 . - 
 
 
 
 I I , . . 1 
 
 m ,. ' 
 
 
 
 
 
 
 
 , 
 . - 
 
 
 . ' 
 
 
 
 

 VA 06104 
 
 
 
 
 
 8 
 
 
 UNIVERSITY OF CALIFORNIA LIBRARY