Dialling made easy, or, Tables calculated for the latitude of Oxford (but will serve without sensible difference for most parts of England) by the help of which, and a line of chords, the hour-lines may quickly and exactly be described upon most sorts of useful dials : with some brief directions for making two sorts of spot dials / by T.E. Edwards, Thomas, mathematician. 1692 Approx. 212 KB of XML-encoded text transcribed from 37 1-bit group-IV TIFF page images. Text Creation Partnership, Ann Arbor, MI ; Oxford (UK) : 2005-10 (EEBO-TCP Phase 1). A38104 Wing E226 ESTC R43140 26910403 ocm 26910403 109843 This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. This Phase I text is available for reuse, according to the terms of Creative Commons 0 1.0 Universal . The text can be copied, modified, distributed and performed, even for commercial purposes, all without asking permission. Early English books online. (EEBO-TCP ; phase 1, no. A38104) Transcribed from: (Early English Books Online ; image set 109843) Images scanned from microfilm: (Early English books, 1641-1700 ; 1715:6) Dialling made easy, or, Tables calculated for the latitude of Oxford (but will serve without sensible difference for most parts of England) by the help of which, and a line of chords, the hour-lines may quickly and exactly be described upon most sorts of useful dials : with some brief directions for making two sorts of spot dials / by T.E. Edwards, Thomas, mathematician. 65 p., [3] folded leaves of plates : ill. Printed by L. Lichfield for Sam. Clarke, bookseller, Oxford : 1692. Errata: p. 65. "All instruments for the Mathematicks are made by John Prujean in Oxon"--p. 20. Reproduction of original in Bodleian Library. 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Time -- Early works to 1800. 2003-05 TCP Assigned for keying and markup 2003-06 SPi Global Keyed and coded from ProQuest page images 2005-02 Andrew Kuster Sampled and proofread 2005-02 Andrew Kuster Text and markup reviewed and edited 2005-04 pfs Batch review (QC) and XML conversion DIALLING MADE EASY : OR , TABLES CALCULATED For the Latitude of OXFORD , ( but will serve without sensible Difference for most Parts of England . ) By the Help of which , and a Line of Chords , the Hour-lines may quickly and exactly be Described upon most sorts of Useful DIALS . With some Brief Directions for Making Two sorts of Spot-Dials . By T. E. OXFORD , Printed by L. Lichfield , for Sam. Clarke Bookseller . 1692. Die Veneris , 21 April , 1648. ORdered by the Lords and Commons assembled in Parliament , that the Boursers and Treasurers of the Colledges in Oxforde shall retaine and keepe such monyes as they have received , without making any divident untill they shall receive order from the Commitee of Lords and Commons for the reformation of the Universitie of Oxon. And that from henceforth , all Tenants , and such others as are to pay money or other dutyes to any Col●●dge in the Universitie of Oxford , shall pay the same to the ●eads of houses appointed by authority of Parliament , ●●spectively , or to those whom they shall appoint to receive the same : and to no other . And that the Acquittance , or Acquittances , of such Heads of houses , or of such as they shall appoint to receive the same , shall be a sufficient warrant and discharge , to the severall Tenants for the payment thereof accordingly : notwithstanding any condition in their Leases to the contrary . Hen. Elsyng , Cler. Parl. Dom. Com. TO THE READER . I Think it will not be inconvenient to premise some things concerning these Tables , before I give the Vses of Them. This Calculation as it was the Product of leisure Hours , so it was at first purely design'd for private Vse : But understanding that several Persons Mathematically inclined , were wishing that something of this Nature was extant , I was not unwilling that these Tables should appear in Publick . Seeing then they lye open to Censure , some will perhaps say , Since I had taken the Pains of Calculating to 60 Degr. I should have compleated the whole Quadrant of Declination . To this I Answer , That in Dials declining more than 60 deg . the Angle which the Stile makes with the Substile is so small , that the Hour-lines will be of no competent distance , and consequently of no , or little use : But to supply this defect , I have laid down a Method to draw Dials that decline beyond 60 deg . almost as easy as if the Tables had been extended to 90 deg . Perhaps another Objection may be raised , That these Tables being calculated only for the Latitude of 51 deg . 45 min. they will be of no use any where else . To this I might reply , That they were chiefly design'd for no other Place , and Printed only for the Benefit of Young Students in this University : but if they serve for any Place within 2 deg . on each side their proper Latitude ( as I am sure they will , allowing One Minutes difference , ) there will be no great reason to Complain . DIALLING made Easy , & ' c. Fig. I. To Draw an Horizontal Dial. 1. DRaw the line A , B for 6 and 6 morning and evening . 2. N , S perpendicular to A , B ; this shall be the 12 a Clock Line . 3. Let C the Intersection of the foresaid lines be the center of your Dial , then take in your Compasses 60 degrees of a line of chords , and with that distance upon the center C draw an obscure segment of a circle as A m B. 4. Turn to your Table of Horizontal Spaces , and see what degrees and minutes answer to 1 and 11 ; you find they are 11 d 53′ : take therefore 11 d 53′ out of your line of chords , and set it from m to a a , on both sides the Meridian . Likewise take 24 d 23′ for the 2d and 10th hour , and set it from m to b b. Take 38 d 9′ and set it from m to c c ; work after the same manner for the remaining hours . 5. From the center C thro' each of these these points a , b , c , d , e , draw lines , which shall be the hours required . The intermediate spaces , viz. Quarter , half , and three-quarters of an hour , are drawn after the same method . 6. Lastly , The stile or cock of your Dial must always make an angle equal to the Lat. of the place . Take therefore 51 d 45′ out of your line of chords and set it from m to n , thro' C and n draw the line C n. Note . 1. That the stile must stand at right angles with the plane upon the 12 a clock line . 2. That the 12 a clock line must be set exactly North and South . 3. That the whole plane must be laid parallel to the Horizon . 4. That the 2 hours above the line of 6 , are drawn by extending the 2 opposite hour-lines thro' the center , as 4 morning is drawn by extending 4 afternoon . Fig. II. Directions for a Prime-Vertical , or , Direct South Dial. THere is little difference between describing a Vertical and Horizontal Dial ; only Observe , 1. That the angle which every hour-line makes with the Meridian must be taken from the Table of Prime-Vertical Spaces , and prickt down on the segment of the circle A , B , m , as before directed in the Horizontal Dial. 2. That the angle which the stile makes with the Meridian must be 38 d 15′ always the Complement of your Latitude . Note . That the stile must stand at right angles with the plane . 2. That the Face of the Dial must look exactly South , and be placed perpendicular to the Horizon . Fig. III. To draw a direct North Dial. THis is as easy as the former : For a South Dial inverted is a North Dial. But because this Dial looketh toward the North part of the Meridian , to which , in these middle Latit . without the Tropicks , the Sun never comes ; therefore must the hours about Midnight be omitted ; as 9 , 10 , 11 and 12 at Night , and 1 , 2 and 3 in the Morn : and the hours 4 , 5 , 7 and 8 must be extended thro the center C , as directed in drawing the Horizontal Dial : So you will have the hours of 4 , 5 , 6 , 7 and 8 in the Morning , and 4 , 5 , 6 , 7 and 8 in the Evening . Note . That the stile of this Dial must point upward to the North Pole , as the South Dial did downward to the South Pole. Fig. IV. Directions for drawing an East and West Dial 1. Upon the point C if it be an East Dial , or upon the point D if a West , with 60 d of your line of chords , draw an obscure segment of a Circle E , F ; then take 38 d 15′ the Co-Latitude of your Place , and set it from E to F , draw C F thro the Plane . Call this line the Equinoctial . 2. Assume any two points in this Equinoctial at a convenient distance for the hour lines of 11 and 6 , and thro these points G and H draw perpendiculars to the Equinoctial . 3. On G with a line of chords draw I , K which shall be 15 d. From G thro K draw the line till it intersects the hour of 6 at L. 4. Upon L with 60 d of chords describe an arch of a circle M , N : between the hour line of 6 and G L. Divide the arch M , N into five parts with 15 degrees of chords . Then turn to your Table for East and West Dials , and see what numbers stand against each hour , ( and the intermediate spaces , if you please to put them in , ) take the said numbers out of your line of chords , and put them upon the arch N M from N to M. 5. Lay a rule from L to each of those divisions o o o , &c. and where the rule intersects the Equinoctial line , make marks x x x , &c. Lines drawn thro these points x x x , &c. parallel to the hour line of 6 , shall be true hour lines for an East plane from 6 to 11 ; but if you transfer the same distances on the Equinoctial before 6 as there be after 6 , and thro those distances draw lines parallel to 6 : you will have also hours before 6 , as 5 , 4 , &c. Note . 1. That the stile may be a plate of Brass or Iron of the same breadth as is the distance between 6 and 9 on the Equinoctial , and fixed upon the line 6 6 , perpendicular to the plane . 2. That an East and West Dial is the same in all respects , save that the hour lines of 4 , 5 , 6 , 7 , 8 , Morn . in an East Dial , must be 8 , 7 , 6 , 5 , 4 , Even . on the West Dial. Fig. V. Directions for an Equinoctial Dial. 1. DEscribe a circle A B C D with 60 d of a line of chords . 2. Draw the Diameters A C and B D at right angles , in the center O. A C shall be the hour of 12 , and B D the hour of 6. 3. Turn to your Table of Equinoctial Dials , and see what numbers answer to every hour ; take the said numbers from your line of chords , and prick them down in the circle A B C D on both sides the line of 12 : draw lines from these points thro the center O , and your work is done . Note . 1. That the Plane of this Dial represents the plane of the Equinoctial , and must be elevated the same number of Degrees toward the South , as the Equator in your Latitude is . 2. That the line of 12 must stand exactly North and South . 3. You must make a Dial on both sides the plane , for the Sun shines half the year on one side , and half the year on t'other . 4. The Gnomon must be a Pin or Wire thrust thro the center , and standing perpendicular to the plane on both sides . Fig. VI. Directions for a Polar Dial. 1. DRaw the line A I , then on A the center describe the segment B C D , with 60 deg . of chords . 2. Draw E F perpendicular to A I at C , and G H parallel to E F. 3. Divide the segment with such numbers as your Table for a Polar or Equinoctial gives you , beginning to divide at C. 4. From A thro each Division draw lines till they touch E F. 5. Perpendiculars made at these intersections to E F will be the hour-lines . Note . 1. That the stile must stand upon 12 , and be equal to the extent between 12 and 3. 2. That G H must be placed Horizontally and Prime-vertically . 3. The Plane must recline so many degrees as the Pole doth . Fig. XI . Directions for finding the Declination of a Wall. I Suppose the Benefit and Usefulness of these Tables may be seen in what has been said already : but their use will much more appear in the inserting of hour-lines upon Declining Planes , for which they were chiefly intended . Before I give directions for Decliners , 't will be proper to shew how to find the Declination of a Wall or Window . 1. Draw a Horizontal Line on the Wall or Plane you would take the Declination of . 2. Fix a plain Board having one streight edge to this line , and parallel to the Horizon . 3. Draw a Line perpendicular to the streight edge , and when the Sun shines thereon , hold up a Line and Plummet , so that the shadow of the Line may fall upon the Board , crossing that perpendicular line , and make two pricks in the shadow a good way distant from one another , and then instantly take the altitude of the Sun with a Quadrant . 4. Lay a Ruler to these two pricks , and draw a line which shall be the Sun's Azimuth on the Board . 5. With the altitude before found , see what the Sun's Azimuth is on Collins's Quadrant . 6. Take the intersection of the shadow line with the perpendicular for a center , and thereon with 60 deg . of chords describe a segment of a circle I K , then from I toward K set the Azimuth found , and thro K and the center draw a right line for the Meridian . 7. Lastly , The Arch intercepted between the Meridian on the Board , and the perpendicular line apply'd to your line of chords gives the Declination . Note . That the Azimuth must be set on the arch of the circle that way that the true South is . An other Way to find the Declination . 1. SET one side of a Quadrant horizontally to the Wall ; hold up a string and plummet when the Sun shines , and move the string till the shadow of it passes thro the center of the Quadrant . 2. See what degree of the limb , the shade falls upon , reckoning from the side of the Quadrant which is perpendicular to the Wall ; then instantly take the Sun's altitude , and find his Azimuth by Collins's Quadrant . 3. If the shade of the string fell between true South and the perpendicular side of the Quadrant , add the deg . of the shade to the Azimuth , the sum gives the Declination ; but if the Meridian or South was between the shade and perpendicular , ( which is easily known considering what time of day it is ) then substract the shade from the Azimuth , the remainder gives the Declination . Fig. VII . Directions for a Declining Dial. Let the Declination given be Twenty Degrees West-ward . 1. DRaw the line N S for 12 a Clock . 2. In this line choose a center as C , upon which with 60 degrees of chords describe an obscure circle . 3. Turn to your Table of Requisites , and see what is the Substile's distance in 20 d of Declin . 'T is 15 d 5′ . take the said distance out of your line of chords , and set it from M to S : thro C and S draw an obscure line for the substile . 4. Now turn to your Declination in Table of hour distances from substile , and see what numbers stand against each hour ( and ¼ part , if you would insert them in your Dial ) transfer these numbers by help of your line of chords into the circle , from S toward A , B , and thro the points draw lines from C the center of your Dial ; these are the hours required ▪ 5. And Lastly , In your Table of Requisites , under the Stile 's height , and opposite to 20 d of Declin . you 'll find 35 d 34′ Set this distance from S to T , then draw C , T , and you have the height of your Cock or Gnomon . Note . 1. That the larger the Radius of your line of Chords is , the better you will insert the distances . 2. If the Declination be East , the Substile must be placed on the left side the Meridian ; and those hours that are next to the Numbers in your Table must be used : but the contrary , if Declination be West . 3. That the Gnomon must be fixt upon the Substile , and stand at right angles with the Plane . Fig. VIII . Directions for a far Decliner . BEcause these Tables extend no farther than 60 deg . of Declination ( and if they had been calculated to 90 deg . they would have been of little use , because the Stile 's height being so small , the hour-lines would have been of no competent distance ) and because sometimes there may be occasion to make a Dial for a greater declination , I will shew a Geometrical way to draw such , by help of a line of chords only . Let the Declinat . given be 64 d West . 1. Make a line B C perpendicular to the Horizon of the Plane . 2. Upon C describe the arch Q S , then out of the Table of Requisites take the Substile's distance , and set it from Q to N ; take also the Stile 's height , and set it from N to h. 3. Draw C D for Substile , and C E for the Stile : Then at any convenient distance draw K L parallel to C E the Stile . Also assume any two points in the Substile , and thro them draw the perpend . F G , and H I. 4. Take the nearest extent from T to K L , and from U to K L , and set it from T to R , and from U to D. 5. Upon D and R , with a line of chords describe two arches of a circle , and set off the inclination of the Meridian from M toward P , and from N to O. With 15 d of chord divide the segments into equal parts , beginning at O and P. 6. Lay a Rule on D , and each division in the arch o n , and mark the intersection of the rule with F G : Then lay the rule to R , and work after the same manner in the other Arch , and H I. 7. Lastly , Thro the marks made in H I , and G F , draw the hour-lines . Note . 1. When the Plane declines Westward , the perpendicular C D must be put on the right hand : Et vice versâ . 2. That the Inclination of Meridian must be set on the same side the Substile with the perpendicular C B. Fig. IX . and XII . Directions for making the Spot Dial. HAving given some Directions for using these Tables in most sorts of common plain Dials , I should now conclude ; but I suppose it will not be unwelcome to some young Practitioners in Dialling , if I give a short and easy Method for making Spot Dials . 'T is true one Clark has treated largly on this subject already , and as he tells the Reader that he believes little will be added by him that comes after , to what he shall there say ; so in my judgment he has said a great deal too much , for by endeavouring to make the thing appear more plain , he has made it the more confused and obscure . I shall be as brief as may be . There are two sorts of these Dials , one in which the Spot moves to the lines , the other in which the lines move to the Spot : I will speak of the first chiefly , because more useful , tho the second more curious . 1. Then you must get a Wood frame , about an Inch and ¼ thick , 7 Inches long , and about 4 broad : order the Joyner to cut this Board sloping from A B C D till he meets with the square a b c d , on the other side , and let him make two Grooves or Rappits as you see in Fig. IX to receive two Glasses . Let the Glass A B C D be 5 inches ½ long , and 3 inches broad . The Glass a b c d may be of any size , the less the better . F G H I must be taken off , and put on at pleasure , having Rappits in it also to keep the Glasses fixt . Let the distance between the two Glasses in the frame be One inch exactly if you can , but there is no great need of being so curious . So much for the Frame . 2. Having found the Declination of your Window , if it has any , draw your Dial upon Paper as above directed : with the Substile and Stile upon it . 3. Now to find where the Spot will be ; remember that it will be always in the substile , and as far distant from the stile as is the distance between the two Glasses . Take therefore the distance of both Glasses as they ly in the Frame , between the points of your Compass , then lay one side of your square on the substile , and the other crossing the stile ; then move the square upon the substile till the extent of the compass does exactly touch both stile and substile , and in that point of the substile which does touch the square , exactly in the angle make the spot ☉ ; then prick the Paper thro with a Pin , and on the back-side also make a Spot with Ink. 4. Draw the line A B perpendicular to the 1 2 a clock line , and either thro the spot , or a little above it . That part of the Dial that is above this line may be cut off , being of no use . 5. When you have finisht your Dial on the Paper , wet it with Gum-water , or any thing that will make the Figured side stick to the Glass , so as that the hour-lines may appear thro it , and that the line of 1 2 may be perpendicular to the Horizon when the Frame is laid in your Window . 6. Place both your Glasses in the Frame , then laying it flat upon the Table with the lesser Glass toward you , look thro it till you can see your reflected Eye , and the spot of Ink on the back-side of the Dial in a right line , then while your Eye is in that posture , with your Pen make a mark upon the Glass which will just cover the spot below . Next paste a piece of Paper upon the other side of this Glass , through which Paper , when it is dry , cut a little hole opposite to the mark before made ; then dawb the other part of the Paper round the hole with Ink , that it may admit nolight . Having done this , put the Glass again into its place , and fastning the top to your Frame , set it close to your Glass-Window , and the Sun entring thro the little hole will cast its Ray upon the opposite hour-lines , and so give the time of day . Note . That if you please you may lay aside the Glasses , and use strong Dutch Paper alone ; first wetting it , and then pasteing the edges of it , strain it upon your Frame so stiff as may be without cracking it . Paste also another Paper on the back-side of your Frame , and when both are dry , thrust a streight Needle thro the Dial spot till it does just touch the Paper on the back-side , then by the help of a Rule and Square , setting the Rule upon the substile , and keeping it upright with your square , direct the top of your Needle by the side of the square , till it stands exactly upright in the angle which is made by the rule and square , when it is in this posture , push the Needle quite thro the lower Paper , and that will be the hole thro which the Sun must shine . This sort of Dial does look very well till the heat of the Sun warps the Paper , and so makes the Hour lines crooked . That sort of Dial wherein the hour-lines move to the spot is only the former inverted : But whereas the Frame in the former was cut sloping , in this it must be cut streight thro , that the hour-lines may all appear upon the opposite Paper ; and note also that the Glasses must be of an equal bigness , and the back-side of your Paper on which the Dial is drawn must be fasten'd to the Glass , that you may with a Pen-knife cut out the Hour-lines and Figures , so the Sun shining thro these spaces , will form artificial lines upon the oppose Paper , and move one after t' other by the spot , as the Sun moves in the Heavens . Thus I have been as short , and ( I hope ) as perspicuous as may be in these Directions , and if I can have the Happiness to please some ( for I do not expect to satisfy all ) I have my end . All Instruments for the Mathematicks are Made by JOHN PRUJEAN in OXON . The Three Requisites in Dialling Calculated to every Degree of Declination in Lat. 51.45 . Declinat . Stile 's Heighth . Substile's Distance a Merid. Inclination of Meridian . Declinat . Stile 's Heighth . Substile's Distance a Merid. Inclination of Meridian .   ° ′ ° ′ ° ′   ° ′ ° ′ ° ′ 1 38. 14 0. 47 1. 16 46 25. 29 29. 33 52. 50 2 38. 13 1. 34 2. 32 47 24. 58 29. 58 53. 48 3 38. 11 2. 21 3. 48 48 24. 28 30. 22 54. 45 4 38. 8 3. 8 5. 4 49 23. 58 30. 45 55. 41 5 38. 5 3. 55 6. 20 50 23. 27 31. 8 56. 39 6 38. 0 4. 42 7. 37 51 22. 56 31. 30 57. 34 7 37. 55 5. 28 8. 51 52 22. 24 31. 51 58. 29 8 37. 49 6. 14 10. 6 53 21. 52 32. 12 59. 23 9 37. 42 7. 2 11. 25 54 21. 20 32. 32 60. 19 10 37. 34 7. 48 12. 40 55 20. 48 32. 51 61. 12 11 37. 26 8. 33 13. 54 56 20. 15 33. 10 62. 6 12 37. 16 9. 18 15. 8 57 19. 42 33. 28 63. 0 13 37. 06 10. 2 16. 21 58 19. 9 33. 46 63. 52 14 36. 55 10. 48 17. 38 59 18. 35 34. 3 64. 45 15 36. 43 11. 32 18. 51 60 18. 2 34. 19 65. 36 16 36. 31 12. 15 20. 3 61 17. 28 34. 35 66. 30 17 36. 18 12. 59 21. 17 62 16. 54 34. 50 67. 19 18 36. 2 13. 41 22. 28 63 16. 19 35. 5 68. 11 19 35. 50 14. 24 23. 41 64 15. 45 35. 19 69. 2 20 35. 34 15. 5 24. 51 65 15. 10 35. 32 69. 51 21 35. 19 15. 47 26. 4 66 14. 35 35. 46 70. 45 22 35. 2 16. 27 27. 13 67 14. 0 35. 58 71. 34 23 34. 44 17. 7 28. 23 68 13. 44 36. 10 72. 25 24 34. 26 17. 47 29. 33 69 12. 49 36. 21 73. 13 25 34. 8 18. 15 30. 38 70 12. 13 36. 32 74. 4 26 33. 49 19. 4 31. 51 71 11. 38 36. 42 74. 52 27 33. 29 19. 41 32. 58 72 11. 2 36. 51 75. 38 28 33. 8 20. 19 34. 7 73 10. 26 37. 1 76. 32 29 32. 47 20. 55 35. 13 74 9. 34 37. 9 77. 17 30 32. 25 21. 31 36. 20 75 9. 13 37. 17 78. 5 31 32. 3 22. 6 37. 26 76 8. 37 37. 25 78. 57 32 31. 40 22. 40 38. 30 77 8. 9 37. 32 79. 46 33 31. 17 23. 14 39. 35 78 7. 24 37. 37 80. 31 34 30. 53 23. 47 40. 39 79 6. 47 37. 44 81. 19 35 30. 28 24. 19 41. 42 80 6. 10 37. 50 82. 12 36 30. 3 24. 52 42. 47 81 5. 41 37. 54 82. 52 37 29. 36 25. 23 43. 50 82 4. 57 37. 59 83. 47 38 29. 12 25. 53 44. 51 83 4. 19 38. 2 84. 23 39 28. 45 26. 23 45. 53 84 3. 43 38. 6 85. 21 40 28. 18 26. 52 46. 53 45 3. 05 38. 9 86. 12 41 27. 51 27. 21 47. 55 86 2. 29 38. 11 86. 54 42 27. 23 27. 49 48. 54 87 1. 52 38. 13 87. 50 43 26. 55 28. 16 49. 54 88 1. 12 38. 14 88. 26 44 26. 26 28. 42 50. 53 89 0. 37 38. 14 88. 53 45 25. 57 29. 8 51. 51 90 0. 0 38. 15 90. 00   A Table shewing what angle every quarter , half and 3 quarters of an hour makes in a horizontal Dial.   A Table for the same angles in a directsouth Dial.   A Table for the same angles in an Equinoctial and Polar Dial. In Lat. 51. d. 45. m.   ° ′   ° ′   ° ′ 12 00. 00 12 00. 00 12 00. 00 1 02. 57 1 02. 19 1 03. 45 2 05. 54 2 04. 40 2 7. 30 3 08. 52 3 07. 01 3 11. 15 11.1 11. 53 11.1 09. 25 11.1 15. 00 1 14. 55 1 11. 52 1 18. 45 2 18. 01 2 14. 23 2 22. 30 3 21. 10 3 16. 58 3 26. 15 10.2 24. 23 10.2 19. 40 10.2 30. 00 1 27. 41 1 22. 28 1 33. 45 2 31. 04 2 25. 24 2 37. 30 3 34. 33 3 28. 30 3 41. 15 9.3 38. 09 9.3 31. 46 9.3 45. 00 1 41. 51 1 35. 13 1 48. 45 2 45. 40 2 38. 54 2 52. 30 3 49. 36 3 42. 49 3 56. 15 8.4 53. 40 8.4 47. 00 8.4 60. 00 1 57. 53 1 51. 27 1 63. 45 2 62. 11 2 56. 13 2 67. 30 3 66. 37 3 61. 15 3 72. 15 7.5 71. 09 7.5 66. 36 7.5 75. 00 1 75. 38 1 72. 11 1 78. 45 2 80. 29 2 77. 00 2 82. 30 3 85. 14 3 83. 58 3 86. 15 6.6 90. 00 6.6 90. 00 6.6 90. 00 A Table of Hour-Distances , and Parts of an Hour from the Substile . Declin . 1   2   3   ° ′   ° ′   ° ′ 6.6 87. 57 3 91. 58 3 89. 55 1 81. 56 6.6 85. 55 6.6 82. 18 2 76. 00 1 79. 54 1 77. 54 3 70. 16 2 74. 02 2 72. 05 5.7 64. 45 3 68. 22 3 66. 30 1 59. 31 5.7 62. 56 5.7 61. 10 2 54. 33 1 57. 46 1 56. 07 3 49. 54 2 52. 57 2 51. 21 4.8 45. 59 3 48. 47 3 46. 54 1 41. 27 4.8 44. 07 4.8 42. 43 2 37. 37 1 40. 07 1 38. 48 3 34. 01 2 36. 22 2 35. 08 3.9 30. 37 3 32. 50 3 31. 41 1 27. 25 3.9 29. 31 3.9 28. 25 2 24. 23 1 26. 22 1 25. 20 3 21. 30 2 23. 24 2 22. 24 2.10 18. 44 3 20. 35 3 19. 36 1 16. 05 2.10 17. 49 2.10 16. 55 2 13. 31 1 15. 12 1 14. 20 3 11. 02 2 12. 40 2 11. 49 1.11 8. 36 3 10. 12 3 9. 22 1 6. 13 1.11 7. 47 1.11 6. 58 2 3. 52 1 5. 25 1 4. 37 3 2. 08 2 3. 40 2 2. 17   Substile .         Substile . 12 0. 47 3 0. 45 3 0. 02         sub .       1 3. 06 12 1. 34 12 2. 21 2 5. 27 2 3. 34 1 4. 41 3 7. 49 1 6. 14 2 7. 02 11.1 10. 14 3 8. 38 3 9. 26 1 12. 42 11.1 11. 04 11.1 11. 53 2 15. 15 1 13. 33 1 14. 24 3 17. 53 2 15. 46 2 17. 00 10.2 20. 35 3 18. 46 3 19. 41 1 23. 26 10.2 21. 32 10.2 22. 29 2 26. 25 1 24. 25 1 25. 25 3 29. 34 2 27. 26 2 28. 30 9.3 32. 54 3 30. 39 3 31. 46 1 36. 25 9.3 34. 03 9.3 35. 13 2 40. 11 1 37. 39 1 38. 54 3 44. 11 2 41. 30 2 42. 50 8.4 48. 27 3 45. 35 3 47. 00 1 53. 01 8.5 49. 57 8.4 51. 29 2 57. 53 1 54. 37 1 56. 14 3 63. 01 2 59. 34 2 61. 18 7.5 68. 27 3 64. 49 3 66. 38 1 74. 07 7.5 70. 20 7.5 72. 14 2 79. 58 1 76. 05 1 78. 03 3 86. 05 2 82. 00 2 84. 02 Declin . 4   5   6   ° ′   ° ′   ° ′ 3 87. 52 3 85. 47 2 88. 07 6.6 81. 49 6.6 79. 48 3 83. 44 1 75. 53 1 73. 55 6.6 77. 45 2 70. 09 2 68. 14 1 71. 55 3 64. 31 3 62. 48 2 66. 18 5.7 59. 23 5.7 57. 39 3 60. 58 1 54. 26 1 52. 48 5.7 55. 55 2 49. 47 2 48 15 1 51. 09 3 45. 26 3 43. 59 2 46. 42 4.8 41. 20 4.8 39. 59 3 42. 33 1 37. 30 1 36. 15 4.8 38. 37 2 33. 55 2 32. 43 1 34. 58 3 30. 32 3 29. 24 2 31. 31 3.8 27. 20 3.9 26. 16 3 28. 16 1 24. 18 1 23. 17 3.9 25. 11 2 21. 25 2 20. 27 1 22. 16 3 18. 40 3 17. 45 2 19. 28 2.10 16. 01 2.10 15. 07 3 16. 49 1 13. 27 1 12. 36 2.10 14. 14 2 10. 58 2 10. 10 1 11. 44 3 8. 33 3 7. 44 2 9. 17 1.11 6. 10 1.11 5. 22 3 6. 55 1 3. 49 1 3. 02 1.11 4. 34 2 1. 30 2 0. 36 1 2. 14   Substile .   Substile .   Substile . 3 0. 49 3 1. 36 2 0. 04 12 3. 08 12 3. 55 3 2. 23 1 5. 28 1 6. 16 12 4. 43 2 7. 50 2 8. 38 1 7. 03 3 10. 15 3 11. 04 2 9. 26 11.1 12. 43 11.1 13. 32 3 11. 52 1 15. 15 1 16. 06 11.1 14. 24 2 17. 52 2 18. 45 1 16. 58 3 20. 35 3 21. 31 2 19. 39 10.2 23. 26 10.2 24. 24 3 22. 27 1 26. 25 1 27. 26 10.2 25. 23 2 29. 33 2 30. 38 1 28. 28 3 32. 53 3 34. 01 2 31. 34 9.3 36. 25 9.3 37. 37 3 35. 11 1 40. 10 1 41. 28 9.3 38. 51 2 44. 11 2 45. 33 1 42. 47 3 48. 28 3 49. 56 2 46. 58 8.4 53. 01 8.4 54. 36 3 51. 27 1 57. 53 1 59. 34 8.4 56. 13 2 63. 03 2 64. 49 1 61. 17 3 68. 29 3 70. 21 2 66. 39 7.5 74. 10 7.5 76. 07 3 72. 16 1 80. 03 1 82. 04 7.5 78. 07 2 86. 04 2 88. 07 1 84. 07 Declin . 7   8   9   ° ′   ° ′   ° ′ 2 87. 48 2 84. 46 2 83. 36 3 81. 44 3 79. 43 3 77. 35 6.6 75. 47 6.6 73. 48 6.6 71. 44 1 70. 01 1 68. 05 1 66. 06 2 64. 29 2 62. 38 2 60. 44 3 59. 14 3 57. 29 3 55. 44 5.7 54. 16 5.7 52. 37 5.7 50. 55 1 49. 37 1 48. 03 1 46. 28 2 45. 15 2 43. 47 2 42. 17 3 41. 10 3 39. 48 3 38. 23 4.8 37. 20 4.8 36. 03 4.8 34. 44 1 33. 45 1 32. 32 1 31. 18 2 30. 23 2 29. 16 2 28. 04 3 27. 11 3 26. 07 3 25. 00 3.9 24. 11 3.9 23. 09 3.9 22. 06 1 21. 19 1 20. 20 1 19. 19 2 18. 33 2 17. 38 2 16. 40 3 15. 55 3 15. 01 3 14. 07 2.10 13. 23 2.10 12. 31 2.10 11. 38 1 10. 54 1 10. 04 1 9. 12 2 8. 29 2 7. 40 2 6. 50 3 6. 08 3 5. 20 3 4. 30 1.11 3. 47 1.11 3. 01 1.11 2. 12               Sub. 1 1. 29 1 0. 43 1 0. 06   Sub.   Sub.       2 0. 50 2 1. 36 2 2. 24 3 3. 09 3 3. 54 3 4. 43 12 5. 28 12 6. 14 12 7. 02 1 7. 49 1 8. 36 1 9. 14 2 10. 13 2 11. 00 2 11. 50 3 12 41 3 13. 29 3 14. 20 11.1 15. 12 11.1 16. 02 11.1 16. 54 1 17. 49 1 18. 40 1 19. 34 2 20. 31 2 21. 25 2 22. 21 3 23. 22 3 24. 17 3 25. 16 10.2 26. 20 10.2 27. 18 10.2 28. 21 1 29. 28 1 30. 30 1 31. 35 2 32. 47 2 33. 52 2 35. 02 3 36. 19 3 37. 28 3 38. 44 9.3 40. 04 9.3 41. 20 9.3 42. 39 1 44. 04 1 45. 24 1 46. 50 2 48. 22 2 49. 44 2 51. 19 3 52. 56 3 54. 28 3 56. 06 8.4 57. 48 8.4 59. 26 8.4 61. 12 1 62. 59 1 64. 43 1 66. 35 2 68. 26 2 70. 16 2 72. 14 3 74. 09 3 76. 04 3 78. 07 7.5 80. 03 7.5 82. 02 7.5 83. 36 1 86. 06 1 88. 07 1 89. 44 Declin . 10   11   12   ° ′   ° ′   ° ′ 1 87. 41 1 85. 39 1 83. 36 2 81. 34 2 79. 32 2 77. 31 3 75. 34 3 73. 35 3 71. 36 6.6 69. 46 6.6 67. 51 6.6 65. 56 1 64. 13 1 62. 22 1 60. 33 2 58. 56 2 57. 11 2 55. 27 3 53. 58 3 52. 19 3 50. 40 5.7 49. 18 5.7 47. 45 5.7 46. 13 1 44. 57 1 43. 30 1 42. 02 2 40. 52 2 39. 30 2 38. 10 3 37. 04 3 35. 46 3 34. 32 4.8 33. 29 4.8 32. 16 4.8 31. 05 1 30. 08 1 28. 59 1 27. 55 2 26. 57 2 25. 53 2 24. 50 3 23. 57 3 22. 56 3 21. 57 3.9 21. 06 3.9 20. 08 3.9 19. 10 1 18. 22 1 17. 27 1 16. 32 2 15. 45 2 14. 52 2 14. 00 3 13. 14 3 12. 23 3 11. 32 2.10 10. 46 2.10 9. 57 2.10 9. 08 1 8. 23 1 7. 35 1 6. 47 2 6. 01 2 5. 15 2 4. 28 3 3. 43 3 2. 57 3 2. 12               sub . 1.11 1. 25 1.11 0. 40 1.11 0. 05   sub .   sub .       1 0. 52 1 1. 36 1 2. 21 2 3. 10 2 3. 54 2 4. 38 3 5. 35 3 6. 10 3 6. 57 12 7. 48 12 8. 33 12 9. 18 1 10. 18 1 10. 57 1 11. 42 2 12. 43 2 13. 23 2 14. 10 3 15. 15 3 15. 55 3 16. 43 11.1 17. 51 11.1 18. 32 11.1 19. 22 1 20. 33 1 21. 17 1 22. 08 2 23. 22 2 24. 08 2 25. 01 3 26. 21 3 27. 09 3 28. 05 10.2 29. 29 10.2 30. 20 10.2 31. 19 1 32. 38 1 33. 41 1 34. 45 2 36. 20 2 37. 17 2 38. 25 3 40. 05 3 41. 07 3 42. 19 9.3 44. 07 9.3 45. 13 9.3 46. 30 1 48. 32 1 49. 36 1 51. 00 2 53. 00 2 54. 17 2 55. 48 3 57. 55 3 59. 17 3 60. 55 8.4 63. 08 8.4 64. 36 8.4 66. 22 1 68. 38 1 70. 11 1 73. 35 2 74. 23 2 76. 02 2 77. 57 3 80. 21 3 82. 04 3 84. 03 7.5 86. 27 7.5 88. 12 7.5 90. 13 Declin . 13   14   15   ° ′   ° ′   ° ′ 1 81. 35 1 79. 27 7.5 83. 34 2 75. 32 2 73. 26 1 77. 25 3 69. 40 3 67. 38 2 71. 26 6 6. 64. 03 6.6 62. 07 3 65. 42 1 58. 45 1 56. 54 6.6 60. 16 2 53. 45 2 52. 00 1 55. 09 3 49. 05 3 47. 26 2 50. 25 5.7 44. 43 5.7 43. 10 3 45. 53 1 40. 38 1 39. 11 5.7 40. 38 2 36. 46 2 35. 28 1 37. 49 3 33. 16 3 31. 59 2 34. 11 4.8 29. 55 4.8 28. 43 3 30. 46 1 26. 46 1 25. 38 4.8 27. 35 2 23. 35 2 22. 42 1 24. 34 3 20. 56 3 19. 56 2 21. 42 3.9 18. 14 3.9 17. 16 3 18. 58 1 15. 39 1 14. 43 3.9 15. 41 2 13. 08 2 12. 15 1 13. 32 3 10. 39 3 9. 51 2 11. 24 2.10 8. 20 2.10 7. 30 3 9. 02 1 6. 08 1 5. 12 2.10 6. 43 2 3. 43 2 2. 56 1 4. 27 3 1. 27 3 0. 40 2 2. 11   sub .   sub .   sub 1.11 0. 49 1.11 1. 35 3 0. 03 1 3. 05 1 3. 49 1.11 2. 18 2 5. 22 2 6. 07 1 4. 33 3 7. 40 3 8. 27 2 6. 51 12 10. 02 12 10. 49 3 9. 10 1 12. 27 1 13. 14 12 11. 32 2 14. 30 2 15. 44 1 13. 58 3 17. 30 3 18. 20 2 16. 29 11.1 20. 11 11.1 21. 03 3 19. 17 1 22. 58 1 23. 52 11.1 21. 51 2 25. 55 2 26. 51 1 24. 43 3 29. 00 3 30. 01 2 27. 45 10.2 32. 18 10.2 33. 22 3 30. 57 1 35. 48 1 36. 56 10.2 34. 22 2 39. 33 2 40. 46 1 37. 23 3 43. 32 3 44. 51 2 41. 55 9.3 47. 49 9.3 49. 14 3 46. 07 1 52. 25 1 53. 57 9.3 50. 36 2 57. 12 2 58. 58 1 55. 25 3 62. 33 3 64. 18 2 60. 33 8.4 68. 04 8.4 69. 57 3 66. 00 1 73. 52 1 75. 51 8.4 71. 45 2 79. 52 2 81. 56 1 77. 44 3 86. 01 3 88. 08 2 83. 54 7.5 92. 14 7.5 94. 23 3 90. 10 Declin . 16   17   18   ° ′   ° ′   ° ′ 7.5 81. 33 7.5 79. 28 7.5 77. 27 1 75. 24 1 73. 22 1 71. 22 2 69. 29 2 67. 29 2 65. 31 3 64. 20 3 61. 54 3 60. 03 6.6 58. 28 6.6 56. 39 6.6 54. 53 1 53. 26 1 51. 43 1 50. 04 2 48. 44 2 47. 08 2 45. 33 3 44. 22 3 42 52 3 41. 21 5.7 40. 19 5.7 38. 53 5.7 37. 31 1 36. 30 1 35. 10 1 33. 54 2 32. 56 2 31. 42 2 30. 30 3 29. 36 3 28. 27 3 27. 18 4.8 26. 29 4.8 25. 23 4.8 24. 19 1 23. 31 1 22. 29 1 21. 29 2 20. 43 2 19. 44 2 18. 47 3 18. 02 3 17. 06 3 16. 12 3.9 15. 28 3.9 14. 35 3.9 13. 43 1 12. 59 1 12. 08 1 11. 19 2 10. 30 2 9. 46 2 8. 58 3 8. 15 3 7. 27 3 6. 42 2.10 5. 58 2.10 5. 11 2.10 4. 27 1 3. 42 1 2. 57 1 2. 16 2 1. 28 2 0. 43 2 0. 00   sub .   sub .   sub . 3 0. 47 3 1. 30 3 2. 11 1.11 3. 01 1.11 3. 44 1.11 4. 24 1 5. 16 1 5. 59 1 6. 39 2 7. 32 2 8. 16 2 8. 56 3 9. 57 3 10. 35 3 11. 16 12 12. 15 12 12. 59 12 13. 41 1 14. 42 1 15. 27 1 16. 09 2 17. 14 2 18. 01 2 18. 44 3 19. 53 3 20. 41 3 21. 26 11.1 22. 39 11.1 23. 58 11.1 24. 15 1 25. 33 1 26. 29 1 27. 15 2 28. 38 2 29. 34 2 30. 26 3 31. 54 3 32. 54 3 33. 50 10.2 35. 22 10.2 36. 27 10.2 37. 26 1 39. 06 1 40. 15 1 41. 19 2 43. 05 2 44. 20 2 45. 30 3 47. 22 3 48. 43 3 49. 59 9.3 51. 58 9.3 53. 25 9.3 54. 51 1 54. 26 1 58. 28 1 59. 58 2 62. 09 2 63. 50 2 65. 28 3 67. 43 3 69. 31 3 71. 16 8.4 73. 34 8.4 75. 29 8.4 77. 20 1 79. 39 1 81. 39 1 83. 35 2 85. 53 2 87. 57 2 89. 56 3 92. 11 3 94. 15 3 97. 55 Declin . 19   20   21   ° ′   ° ′   ° ′ 7.5 75. 22 3 79. 35 3 77. 12 1 69. 22 7.5 73. 23 7.5 71. 02 2 63. 38 1 66. 56 1 65. 09 3 58. 13 2 61. 45 2 59. 36 6.6 53. 09 3 56. 26 3 54. 24 1 48. 52 6.6 51. 28 6.6 49. 32 2 44. 02 1 46. 51 1 45. 03 3 39. 58 2 42. 33 2 40. 52 5.7 36. 10 3 38. 34 3 37. 00 1 32. 38 5.7 34. 32 5.7 33. 33 2 29. 19 1 31. 25 1 30. 11 3 26. 13 2 28. 10 2 27. 02 4.8 23. 17 3 25. 08 3 24. 03 1 20. 30 4.8 22. 16 4.8 21. 15 2 17. 51 1 19. 33 1 18. 35 3 15. 19 2 16. 57 2 16. 12 3.9 12. 52 3 14. 27 3 13. 35 1 10. 30 3.9 12. 03 3.9 11. 13 2 8. 12 1 9. 43 1 8. 55 3 5. 56 2 7. 26 2 6. 40 2.10 3. 43 3 5. 12 3 4. 27 1 1. 30 2.10 3. 00 2.10 2. 17   sub .             2 0. 42 1 0. 49 1 0. 06         sub .   sub . 3 2. 53 2 1. 22 2 2. 04 1.11 5. 07 3 3. 44 3 4. 13 1 7. 21 1.11 5. 46 1.11 6. 27 2 9. 39 1 08. 00 1 8. 42 3 11. 59 2 10. 18 2 10. 59 12 14. 24 3 12. 39 3 13. 21 1 16. 54 12 15. 04 12 15. 47 2 19. 31 1 17. 36 1 18. 20 3 21. 47 2 20. 13 2 20. 59 11.1 25. 07 3 22. 59 3 23. 49 1 28. 09 11.1 25. 54 11.1 26. 44 2 31. 23 1 28. 58 1 29. 52 3 34. 50 2 32. 16 2 33. 13 10.2 38. 32 3 35. 47 3 36. 48 1 42. 30 10.2 39. 33 10.2 40. 40 2 46. 46 1 43. 36 1 44. 49 3 51. 22 2 47. 59 2 49. 18 9.3 56. 18 3 52. 42 3 54. 11 1 61. 35 3.9 57. 45 9.3 59. 19 2 67. 12 1 63. 09 1 64. 05 3 73. 08 2 68. 54 2 70. 43 8.4 79. 18 3 74. 56 3 76. 51 1 85. 37 4.8 81. 11 8.4 83. 13 2 92. 01 1 87. 35 1 88. 41 3 98. 23 2 94. 02 2 96. 09 Declin . 22   23   24   ° ′   ° ′   ° ′ 3 75. 28 3 73. 58 3 71. 21 7.5 69. 20 7.5 67. 53 7.5 65. 21 1 63. 30 1 62. 05 1 59. 40 2 58. 01 2 56. 39 2 54. 23 3 52. 54 3 51. 36 3 49. 28 6.6 4● . 08 6.6 46. 55 6.6 44. 55 1 43. 43 1 42. 34 1 40. 43 2 39. 38 2 38. 34 2 36. 49 3 35. 51 3 34. 50 3 33. 13 5.7 32. 19 5.7 31. 22 5.7 29. 52 1 29. 02 1 28. 08 1 26. 44 2 25. 57 2 25. 07 2 23. 07 3 23. 02 3 22. 16 3 21. 01 4.8 20. 17 4.8 19. 33 4.8 18. 23 1 17. 40 1 16. 59 1 15. 52 2 15. 10 2 14. 31 2 13. 28 3 12. 46 3 12. 08 3 11. 08 3.9 10. 26 3.9 9. 51 3.9 8. 53 1 8. 10 1 7. 36 1 6. 41 2 5. 56 2 5. 25 2 4. 31 3 3. 46 3 3. 15 3 2. 23 2.10 1. 36 2.10 1. 09 2.10 0. 15   sub .   Sub.   Sub. 1 0. 33 1 1. 02 1 1. 45 2 2. 43 2 3. 16 2 4. 00 3 4. 53 3 5. 25 3 6. 09 1.11 7. 05 1.11 7. 37 1.11 8. 21 1 9. 20 1 9. 58 1 10. 35 2 11. 38 2 12. 16 2 12. 54 3 14. 00 3 14. 38 3 15. 17 12 16 .27 12 17. 06 12 17. 46 1 18. 58 1 19. 41 1 20. 22 2 21. 41 2 22. 24 2 23. 07 3 24. 30 3 25. 15 3 26. 01 11.1 27. 31 11.1 28. 18 11.1 29. 06 1 30. 42 1 31. 32 1 32. 24 2 34. 06 2 35. 01 2 35. 56 3 37. 46 3 38. 45 3 39. 42 10.2 41. 42 10.2 42. 46 10.2 43. 53 1 45. 58 1 47. 08 1 48. 20 2 50. 53 2 51. 50 2 53. 10 3 55. 30 3 57. 09 3 58. 22 9.3 60. 47 9.3 62. 21 9.3 63. 57 1 66. 28 1 68. 09 1 69. 53 2 72. 28 2 74. 26 2 76. 06 3 78. 43 3 80. 38 3 82. 36 8.4 85. 10 8.4 87. 10 8.4 89. 12 1 91. 41 1 93. 45 1 95. 49 2 98. 11 2 100. 15 2 102. 20 Declin . 25   26   27   ° ′   ° ′   ° ′ 2 75. 46 2 73. 31 2 71. 29 3 69. 30 3 67. 18 3 65. 20 7.5 63. 30 7.5 61. 26 7 5 59. 32 1 58. 30 1 55. 58 1 54. 10 2 52. 27 2 50. 53 2 49. 11 3 47. 54 3 46. 11 3 44. 36 6.6 43. 27 6.6 41. 50 6.6 40. 22 1 39. 21 1 37. 50 1 36. 29 2 35. 32 2 34. 09 2 32. 17 3 32. 02 3 30. 43 3 29. 33 5.7 28. 46 5.7 27. 33 5.7 26. 20 1 25. 42 1 24. 33 1 23. 32 2 22. 49 2 21. 45 2 20. 47 3 20. 08 3 19. 06 3 18. 10 4.8 17. 31 4.8 16. 35 4.8 15. 43 1 15. 02 1 14. 10 1 13. 21 2 12. 41 2 11. 51 2 11. 04 3 10. 24 3 9. 36 3 8. 51 3.9 8. 11 3.9 7. 26 3.9 6. 43 1 6. 00 1 5. 16 1 4. 37 2 3. 52 2 3. 09 2 2. 30 3 1. 45 3 1. 04 3 0. 26   Sub.   sub .   Sub. 2.10 0. 21 2.10 1. 02 2.20 1. 38 1 2. 28 1 3. 07 1 3. 43 2 4. 35 2 5. 14 2 5. 49 3 6. 44 3 7. 23 3 7. 57 1.11 8. 55 11.1 9. 34 1.11 10. 08 1 11. 1● 1 11. 49 1 12. 33 2 13. 29 2 14. 08 2 14. 43 3 15. 52 3 16. 33 3 17. 09 12 18. 23 12 19. 04 12 19. 41 1 21. 00 1 21. 43 1 22. 22 2 23. 46 2 24. 31 2 25. 12 3 26. 42 3 27. 30 3 28. 13 11.1 29. 50 11.1 30. 41 11.1 31. 28 1 33. 12 1 34. 07 1 34. 56 2 36. 48 2 37. 48 2 38. 43 3 40. 42 3 41. 48 3 42. 48 10.2 44. 55 10.2 46. 07 10.2 47. 42 1 49. 29 1 50. 49 1 52. 03 2 54. 26 2 55. 53 2 57. 15 3 59. 45 3 61. 21 3 62. 52 9.3 65 28 9.3 67. 13 9.3 68. 52 1 71. 32 1 73. 26 1 75. 13 2 77. 53 2 79. 55 2 81. 49 3 84. 28 3 ●6 . 35 3 88. 35 8.4 91. 08 8.4 93. 19 8.4 95. 26 1 97. 47 1 10. 00 1 102. 03 Declin 28   29   30   ° ′   ° ′   ° ′ 2 69. 23 1 73. 49 1 71. 39 3 63. 18 2 67. 28 2 65. 20 7.5 57. 37 3 61. 29 3 59. 24 1 52. 21 7.5 55. 54 7.5 53. 57 2 47. 29 1 50. 44 1 48. 52 3 43. 00 2 46. 00 2 44. 14 6.6 38. 54 3 41. 38 3 39. 59 1 35. 06 6.6 37. 37 6.6 36. 05 2 31. 36 1 33. 55 1 32. 30 3 28. 21 2 30. 30 2 29. 10 5.7 25. 19 3 27. 20 3 26. 05 1 22. 29 5.7 24. 21 5.7 23. 13 2 19. 48 1 21. 35 1 20. 31 3 17. 16 2 18. 58 2 17. 58 4.8 14. 51 3 16. 28 3 15. 33 1 12. 32 4.8 14. 06 4.8 13 13 2 10. 18 1 11. 49 1 11. 01 3 8. 07 2 9. 36 2 8. 50 3.9 6. 00 3 7. 27 3 6. 44 1 3. 55 3.9 5. 22 3.9 4. 41 2 1. 51 1 3. 17 1 2. 38   Sub.             3 0. 12 2 1. 15 2 0. 37         Sub.   Sub. 2.10 2. 15 3 0. 48 3 1. 23 1 4. 19 2.10 2. 50 2.10 3. 24 2 6. 25 1 4. 54 1 5. 27 3 8. 32 2 7. 00 2 7. 31 1 ▪ 11 10. 44 3 9. 08 3 9. 39 1 12. 59 1.11 11. 20 1.11 11. 49 2 15. 19 1 13. 36 1 14. 05 3 17. 45 2 15. 57 2 16. 26 12 20. 19 3 18. 25 3 18. 55 1 23. 01 12 20. 55 12 21. 31 2 25. 54 1 23. 45 1 24. 17 3 28. 58 2 26. 40 2 27. 14 11.1 32. 16 3 29. 47 3 30. 24 1 35. 49 11.1 33. 09 11.1 33. 49 2 39. 40 1 36. 47 1 37. 31 3 43. 51 2 40. 43 2 41. 33 10.2 48. 24 3 45. 01 3 45. 56 1 53. 20 10.2 49. 40 10.2 50. 44 2 58. 42 1 54. 44 1 55. 57 3 64. 28 2 60. 14 2 61. 35 9.3 70. 37 3 66. 08 3 67. 40 1 77. 06 9.3 73. 22 9.3 74. 05 2 83. 49 1 79. 00 1 80. 53 3 90. 40 2 85. 48 2 87. 50 8.4 97. 30 3 92. 42 3 94. 49 1 104. 11 4.8 ●9 . 31 8.4 101. 42 Declin 31   32   33   ° ′   ° ′   ° ′ 1 69. 34 1 67. 32 8.4 71. 59 2 63. 19 2 61. 21 1 65. 28 3 57. 29 3 55. 38 2 59. 23 7.5 52. 07 7.5 50. 22 3 53. 46 1 47. 11 1 45. 33 7 5 48. 37 2 42. 40 2 41. 09 1 43. 55 3 38. 32 3 37. 07 2 39. 38 6 34. 44 6.6 33. 25 3 35. 43 1 31. 14 2 30. 01 6.6 32. 08 2 28. 01 2 26. 53 1 29. 01 3 25. 00 3 23. ●8 2 25. 46 5.7 22. 12 5.7 21. 14 3 22. 56 1 19. 34 1 18. 39 5.7 20. 16 2 17. 05 2 16. 13 1 17. 45 3 14. 43 3 13. 54 2 15. 23 4.8 12. 26 4.8 11. 41 3 13. 07 1 10. 07 1 9. 32 4.8 10. 56 2 8. 08 2 7. 27 1 8. 50 3 6. 04 3 5. 26 2 6. 47 3 9 4. 02 3.6 3. 25 3 4. 47 1 2. 02 1 1. 27 3.9 2. 49         sub .       2 0. 02 2 0. 32 1 0. 52   sud .         sub . 3 1. 57 3 2. 29 2 1. 05 2.10 3. 58 2.10 4. 29 3 3. 02 1 5. 59 1 6. 30 1 5. 00 2 8. 03 2 8. 34 2 7. 01 3 10. 10 3 10. 40 3 9. 04 1.11 12. 21 1.11 12. 52 1.11 11. 10 1 14. 38 1 15. 08 1 13. 22 2 16. 38 2 17. 30 2 15. 39 3 19. 28 3 20. 03 3 18. 01 12 22. 06 12 22. 40 12 20. 33 1 24. 54 1 25. 30 1 23. 14 2 27. 54 2 28. 32 2 26. 06 3 31. 07 3 31. 48 3 29. 10 11.1 34. 36 11.1 35. 21 11.1 32. 31 1 37. 45 1 39. 13 1 36. 08 2 42. 30 2 43. 27 2 40. 05 3 47. 00 3 48. 04 3 44. 25 10.2 51. 56 10.2 53. 07 10 2 49. 10 1 57. 18 1 58. 38 1 54. 21 2 63. 06 2 64. 36 2 60. 02 3 69. 20 3 70. 59 3 66. 10 9.3 75. 57 9.3 77. 45 9.3 72. 44 1 82. 50 1 84. 46 1 79. 39 2 89. 52 2 91. 48 2 86. 48 3 96. 56 3 98. 59 3 94. 01 8.4 103. 49 8.4 105. 53 8.4 101. 08 Declin . 34   35   36   ° ′   ° ′   ° ′ 8.4 69. 53 8.4 67. 46 8.4 65. 37 1 63. 25 1 61. 24 1 59. 20 2 57. 26 2 55. 31 2 53. 41 3 51. 57 3 50. 08 3 48. 19 7.5 46. 54 7.5 45. 14 7.5 43. 32 1 42. 2● 1 40. 47 1 39. 13 2 38. 09 2 36. 43 2 35. 17 3 34. 21 3 33. 00 3 31. 42 6.6 30. 52 6.6 29. 39 6.6 28. 25 1 27. 39 1 26. 31 1 25. 23 2 24. 47 2 23. 38 2 22. 35 3 21. 55 3 20. 57 3 19. 58 5.7 19. 20 5.7 18. 25 5.7 17. 31 1 16. 53 1 16. 02 1 15 ▪ 11 2 14. 34 2 13. 46 2 12. 59 3 12. 21 3 11. 36 3 10. 52 4.8 10. 13 4.8 9. 3● 4.8 8. 49 1 8. 09 1 7. 30 1 6. 50 2 6. 09 2 5. 31 2 4. 54 3 4. 11 3 3. 35 3 3. 00 3.9 2. 14 3.9 1. 40 3.9 1. 07         Sub.   sub . 1 0. 08 1 0. 14 1 0. 46   sub .             2 1. 37 2 2. 08 2 2. 39 3 3. 33 3 4. 03 3 4. 33 2.18 5. 31 2.10 6. 00 2.10 6. 29 1 7. 30 1 7. 59 1 8. 27 2 9. 33 2 10. 00 2 10. 29 3 11. 40 3 12. 07 3 12. 35 1.11 13. 51 1.11 14. 18 1.11 14. 47 1 16. 08 1 16. 36 1 17. 05 2 18. 32 2 19. 01 2 19. 31 3 21. 04 3 21. 35 3 22. 06 12 23. 47 11.1 24. 19 12 24. 52 1 26. 41 1 27. 15 1 27. 51 2 29. 49 2 30. 26 2 31. 05 3 33. 12 2 33. 53 3 34. 36 11.1 36. 54 12 37. 40 11.1 38. 31 1 40. 57 1 41. 48 1 42. 43 2 45. 23 2 46. 22 2 47. 24 3 50. 16 3 51. 23 3 52. 34 10.2 55. 37 11.1 56. 53 10.2 58. 15 1 61. 40 1 62. 53 1 64. 26 2 67. 42 2 69. 23 2 71. 07 3 74. 30 3 76. 17 3 78. 13 9.3 81. 34 9.3 83. 31 9.3 85. 34 1 88. 50 1 90. 54 1 93. 04 2 96 07 2 98. 14 2 100. 28 3 103. 16 3 105. 24 3 107. 37 Declin . 37   38   39   ° ′   ° ′   ° ′ 3 70. 12 3 68. 05 3 65. 55 8.4 63. 30 8.4 61. 28 8.4 59. 23 1 57. 19 1 55. 24 1 53. 26 2 51. 4 2 49. 52 2 48. 02 3 46. 32 3 44. 52 3 43. 11 7.5 41. 54 7.5 40. 22 7.5 38. 48 1 37. 42 1 36. 17 1 34. 55 2 33. 53 2 32. 35 2 31. 16 3 30. 24 3 29. 13 3 28. 00 6.6 27. 13 6.6 26. 07 6.6 25. 00 1 24. 17 1 23. 16 2 22. 14 2 21. 33 2 20. 37 3 19. 40 3 19. 01 3 18. 09 1 17. 16 5.7 16. 38 5.7 15. 49 5.7 14. 59 1 14. 22 1 13. 37 1 12. 51 2 12. 13 2 11. 30 2 10. 48 3 10. 09 3 9. 29 3 8. 49 4.8 8. 09 4.8 7. 31 4.8 6. 54 1 6. 12 1 5. 37 1 5. 02 2 4. 18 2 3. 45 2 3. 11 3 2. 26 3 1. 54 3 1. 23               Sub. 3.9 0. 35 3.9 0. 05 3.9 0. 26   sub .   Sub.       1 1. 16 1 1. 45 1 2. 14 2 3. 08 2 3. 36 2 4. 03 3 5. 01 3 5. 28 3 5. 54 2.10 6. 56 2.10 7. 22 2.10 7. 48 1 8. 54 1 9. 19 1 9. 44 2 10. 55 2 11. 21 2 11. 45 3 13. 01 3 13. 26 3 13. 51 1.11 15. 13 1.11 15. 40 1.11 16. 03 1 17. 31 1 17. 58 1 18. 22 2 19. 58 2 20. 25 2 20. 51 3 22. 34 3 22. 03 3 23. 31 12 25. 23 12 25. 53 12 26. 23 1 28. 24 1 28. 57 1 29. 30 2 31. 41 2 32. 18 2 32. 55 3 35. 17 3 35. 58 3 36. 40 11.1 39. 14 11.1 40. 01 11.1 40. 49 2 43. 36 1 44. 30 1 45. 25 1 48. 25 2 49. 27 2 50. 31 3 53. 45 3 54. 56 3 56. 10 10.2 59. 35 10.2 60. 58 10.2 62. 24 1 65. 58 1 67. 32 1 69. 11 2 71. 52 2 74. 36 2 76. 26 3 80. 07 3 82. 02 3 84. 03 9.3 87. 02 9.3 89. 42 9.3 91. 50 1 95. 13 1 97. 21 1 99. 33 2 102. 40 2 104. 49 2 107. 02 Declin . 40   41   42   ° ′   ° ′   ° ′ 3 63. 48 2 68. 31 2 66. 20 8.4 57. 22 3 61. 37 3 59. 32 1 51. 32 8.4 55. 18 8.4 53. 21 2 46. 17 1 49. 37 1 47. 47 3 41. 33 2 44. 31 2 42. 49 7.5 37. 18 3 39. 55 3 38. 23 1 33. 28 7.5 35. 49 7.5 34. 22 2 30. 00 1 32. 06 1 30. 48 3 26. 50 2 28. 45 2 27. 33 6.6 23. 56 3 24. 59 3 24. 35 1 21. 19 6.6 22. 52 6.6 21. 52 2 18. 46 1 20. 16 1 19 21 3 16. 15 2 17. 51 2 17. 01 5.7 14. 13 3 15. 35 3 14. 47 1 12. 08 5.7 13. 26 5.7 12. 43 2 10. 07 1 11. 23 1 10. 42 3 8. 10 2 9. 26 2 8. 47 4.8 6. 18 3 7. 33 3 6. 56 1 4. 28 4.8 5. 42 4.8 5. 08 2 2. 40 1 3. 55 1 3. 24 3 0. 53 2 2. 09 2 1. 40   sub .         sub . 3.9 0. 54 3 0. 24 3 0. 04         Sub.       1 2. 40 3.9 1. 22 3.9 1. 48 2 4. 29 1 3. 08 1 3. 32 3 6. 19 2 4. 54 2 5. 18 2.10 8. 11 3 6. 43 3 7. 06 1 10. 07 2.10 8. 34 2.10 8. 57 2 12. 8 1 10. 31 1 10. 52 3 14. 13 2 12. 3● 2 12. 53 1.11 16. 15 3 14. 37 3 14. 57 1 18. 46 1.11 16. 50 11.1 17. 11 2 21. 19 1 19. 11 1 19. 33 3 23. 57 2 21. 41 2 2● .04 12 26. 52 3 24. 24 3 24 .48 1 30. 01 12 27. 31 12 27. 49 2 23. 29 1 30. 34 1 31. 04 3 37. 20 2 34. 07 2 34. 42 11.1 41. 31 3 38. 02 3 38. 43 1 46. 18 11.1 42. 24 11.1 43. 11 2 51. 34 1 47. 17 1 48. 13 3 57. 24 2 52. 42 2 53. 48 10.2 63. 49 3 58. 44 3 60. 02 1 70. 49 10.2 65. 23 8.4 67. 14 2 78. 17 1 72. 35 1 74. 20 3 86. 04 2 89. 16 2 82. 13 9.3 93. 58 3 88. 13 3 90. 21 1 101. 45 9.3 96. 13 9.3 98. 26 2 109. 13 1 104. 03 1 106. 17 Declin . 43   44   45   ° ′   ° ′   ° ′ 2 64. 06 2 61. 53 2 66. 51 3 57. 24 3 55. 18 3 59. 38 8.4 51. 21 8.4 49. 24 8.4 53. 14 1 45. 57 1 44. 09 1 47. 30 2 41. 08 2 39. 29 2 42. 24 3 36. 50 3 35. 20 3 37. 54 7.5 32. 59 7 5 31. 36 7.5 33. 52 1 29. 31 1 28. 15 1 30. 17 2 26. 22 2 25. 13 2 27. 02 3 23. 30 3 22. 27 3 24. 07 6.6 20. 52 6.6 19. 54 6.6 21. 26 1 18. 26 1 17. 32 1 18. 58 2 16. 09 2 15. 19 2 16. 41 3 14. 00 3 13. 19 3 14. 32 5.7 11. 58 5.7 11. 16 5.7 12. 31 1 10. 02 1 9. 23 1 10. 36 2 8. 11 2 7. 34 2 8. 46 3 6. 22 3 5. 48 3 6. 59 4.8 4. 37 4.8 4. 05 4.8 5. 16 1 2. 53 1 2. 24 1 3. 37 2 1. 11 2 0. 43 2 1. 56   sub .   Sub.       3 0. 34 3 0. 57 3 0. 17               sub . 3 9 2. 13 3.9 2. 38 3.9 1. 21 1 3. 56 1 4. 19 1 3. 01 2 5. 41 2 6. 03 1 4. 41 3 7. 28 3 7. 49 2 6. 23 2.10 9. 17 2.10 9. 39 3 8. 08 1 11. 13 1 11. 32 2.10 9. 57 2 13. 12 2 13. 32 1 11. 50 3 15. 18 3 15. 37 2 13. 49 1.11 17. 31 1.11 17. 51 3 15. 55 1 19. 54 1 20. 14 1.11 18. 09 2 22. 28 2 22. 49 1 20. 34 3 25. 14 3 25. 37 2 23. 09 12 28. 16 11.1 28. 42 3 25. 58 1 31. 36 1 32. 06 12 29. 08 2 35. 18 2 35. 52 1 32. 34 3 39. 25 3 40. 06 2 36. 26 11.1 44. 01 12 44. 50 3 40. 47 1 49. 11 1 50. 10 11.1 45. 39 2 54. 59 2 56. 10 1 51. 10 3 61. 25 3 62. 50 2 57. 22 10.2 68. 31 11.1 70. 11 3 64. 17 1 76. 11 1 78. 05 10.2 71. 53 2 84. 16 2 86. 22 1 80. 02 3 92. 32 3 94. 47 2 88. 31 9.3 100. 43 9.3 103. 02 3 97. 03 1 108. 35 1 110. 52 9.3 105. 21 Declin . 46   47   48   ° ′   ° ′   ° ′ 1 64. 32 1 62. 10 1 59. 54 2 57. 29 2 55. 15 2 53. 08 3 51. 12 3 49. 08 3 47. 10 8.4 45. 37 8.4 43. 43 8.4 41. 56 1 40. 41 1 38. 57 1 37. 20 2 36. 20 2 34. 45 2 33. 17 3 32. 27 3 31. 01 3 29. 41 7.5 28. 59 7.5 27. 41 7.5 26. 28 1 25. 52 1 24. 41 1 23. 35 2 23. 02 2 21. 57 2 20. 57 3 20. 27 3 19. 27 3 18. 32 6.6 18. 04 6.6 17. 09 6.6 16. 19 1 15. 51 1 15. 01 1 14. 14 2 13. 46 2 13. 00 2 12. 18 3 11. 49 3 11. 06 3 10. 28 5.7 9. 57 5.7 9. 18 5.7 9. 9 1 8. 09 1 7. 33 1 6. 59 2 6. 25 2 5. 52 2 4. 40 3 4. 44 3 4. 14 3 3. 45 4.8 3. 06 4.8 2. 38 4.8 2. 11 1 1. 28 1 1. 02 1 0. 37   Sub.   sub .   sub . 2 0. 08 2 0. 33 2 0. 56 3 1. 45 3 2. 08 3 2. 29 3.9 3. 23 3.9 3. 44 3.9 3. 58 1 5. 02 1 4. 16 1 4. 07 2 6. 44 2 7. 02 2 7. 20 3 8. 28 3 8. 45 3 9. 02 2.10 10. 16 2.10 10. 33 2.10 10. 48 1 12. 09 1 12. 25 1 12. 40 2 14. 08 2 14. 24 2 14. 39 3 16. 14 3 16. 30 3 16. 45 1.11 18. 29 1.11 18. 45 1.11 19. 01 1 20. 53 1 21. 11 1 21. 27 2 23. 31 2 23. 50 2 24. 08 3 26. 24 3 26. 45 3 27. 05 12 29. 33 12 29. 58 12 30. 22 1 33. 06 1 33. 38 1 34. 03 2 37. 04 2 37. 38 2 38. 12 3 41. 31 3 42. 13 3 42. 56 11.1 46. 34 11.1 47. 25 11.1 48. 18 1 52. 15 1 53. 20 1 54. 25 2 58. 41 2 60. 00 2 61. 21 3 65. 51 3 67. 26 3 69. 04 10.2 73. 43 10.2 75. 34 10.2 77. 29 1 82. 06 1 84. 13 1 86. 23 2 90. 47 2 93. 05 2 95. 33 3 99. 25 3 101. 41 3 104. 15 9.3 107. 44 9.3 109. 06 9.3 112. 33 Declin . 49   50   51   ° ′   ° ′   ° ′ 9.3 95. 5 9.3 62. 35 9.3 60. 13 1 57. 38 1 55. 18 1 53. 05 2 51. 02 2 48. 53 2 46. 50 3 45. 02 3 43. 17 3 41. 26 8.4 40 11 8.4 38. 25 8.4 36. 44 1 35. 45 1 34. 09 1 32. 38 2 31. 51 2 30. 24 2 29. 02 3 28. 23 3 27. 04 3 25. 51 7.5 25. 17 7.5 24. 06 7.5 22. 59 1 22. 30 1 21. 25 1 20. 24 2 19. 58 2 18. 59 2 18. 04 3 17. 39 3 16. 45 3 15. 54 6.6 15. 30 6.6 14. 41 6.6 13. 54 1 13. 30 1 12. 44 1 12. 02 2 11. 36 2 10. 55 2 10. 16 3 9. 49 3 9. 11 3 8. 35 5.7 8. 06 5.7 7. 31 5.7 6. 58 1 6. 27 1 5. 55 1 5. 26 2 4. 52 2 4 22 2 3. 54 3 3. 18 3 2 50 3 2. 25 4.8 1. 45 4.8 1. 57 4.8 0. 57         sub .   sub . 1 0. 14 1 0. 10 1 0. 35   sub .             2 1. 17 2 1. 40 2 1. 59 3 2. 50 3 3. 10 3 3. 28 3.9 4. 23 3.9 4. 42 3.9 4. 57 1 5. 58 1 6. 15 1 6. 31 2 7. 34 2 7. 52 2 8. 06 3 9. 17 3 9. 31 3 9. 45 2.10 11. 03 2.10 11. 18 2.10 11. 30 1 12. 55 1 13. 09 1 13. 20 2 14. 52 2 15. 06 2 15. 18 3 16. 59 3 17. 13 3 17. 24 1.11 19. 15 1.11 19. 29 1.11 19. 41 1 21. 43 1 21. 58 1 22. 11 2 24. 25 2 24. 43 2 24. 57 3 27. 25 3 27. 45 3 28. 03 12 30. 45 12 31. 08 12 31. 30 1 34. 31 1 35. 01 1 35. 27 2 38. 47 2 39. 24 2 39. 58 3 43. 39 3 44. 25 3 45. 09 11.1 49. 12 11.1 50. 11 11.1 51. 08 1 55. 33 1 56. 48 1 58. 00 2 62. 45 2 64. 17 2 65. 48 3 70. 46 3 72. 37 3 74. 27 10.2 79. 28 10.2 81. 38 10.2 83. 47 1 88. 36 1 91. 00 1 93. 19 2 97. 48 2 100. 20 2 102. 50 3 106. 40 3 109. 14 3 111. 43 Declin . 52   53   54   ° ′   ° ′   ° ′ 3 65. 31 3 63. 15 3 60. 38 9.3 57. 49 9.3 55. 27 9.3 53. 01 1 50. 51 1 48. 40 1 46. 28 2 44. 49 2 42. 50 2 40. 51 3 39. 36 3 37. 49 3 36. 02 8.4 35. 05 8.4 33. 29 8.4 31. 53 1 31. 09 1 29. 42 1 28. 17 2 27. 42 2 26. 24 2 25. 07 3 24. 38 3 23. 27 3 22. 18 7.5 21. 54 7.5 20. 50 7.5 19. 47 1 19. 25 1 18. 28 1 17. 30 2 17. 10 2 16. 17 2 15. 25 3 15. 05 3 14. 17 3 13. 30 6.6 13. 09 6.6 12. 26 6.6 11. 43 1 11. 21 1 10. 41 1 10. 02 2 9. 38 2 9. 02 2 8. 26 3 8. 01 3 7. 27 3 6. 55 5.7 6. 27 5.7 5. 57 5.7 5. 27 1 4. 54 1 4. 30 1 4. 01 2 3. 27 2 3. 02 2 2. 38 3 2. 00 3 1. 38 3 1. 15               sub . 4.8 0. 35 4.8 0. 14 4.8 0. 07   Sub.   Sub.       1 0. 51 1 1. 10 1 1. 29 2 2. 17 2 2. 34 2 2. 51 3 3. 45 3 4. 00 3 4. 15 3.9 5. 13 3.9 5. 27 3.9 5. 41 1 6. 44 1 6. 57 1 7. 10 2 8. 19 2 8. 30 2 8. 42 3 9. 57 3 10. 08 3 10. 18 2.10 11. 41 2.10 11. 51 2.10 12. 00 1 13. 31 1 13. 40 1 13. 49 2 15. 28 2 15. 37 2 15. 46 3 17. 35 3 17. 42 3 17. 53 1.11 19. 52 1.11 20. 02 1.11 20. 12 1 22. 23 1 22. 34 1 22. 45 2 25. 11 2 25. 23 2 25. 37 3 28. 19 3 28. 33 3 28. 51 12 31. 51 12 32. 12 12 32. 32 1 35. 54 1 36. 19 1 36. 48 2 40. 32 2 41. 06 2 41. 44 3 45. 54 3 46. 39 3 47. 30 11.1 52. 07 11.1 53. 06 11.1 54. 14 1 59. 16 1 60. 34 1 62. 02 2 67. 25 2 69. 03 2 70. 54 3 76. 24 3 78. 25 3 80. 38 10.2 86. 02 10.2 88. 21 10.2 90. 42 1 95. 51 1 98. 22 1 101. 04 2 105. 23 2 107. 58 2 110. 41 Declin 55   56   57   ° ′   ° ′   ° ′ 3 58. 08 3 63. 57 3 61. 12 9.3 50. 43 9.3 55. 34 9.3 53. 00 1 44. 22 1 48. 22 1 46. 03 2 38. 58 2 42. 16 2 40. 11 3 34. 21 3 27. 05 3 35. 15 8.4 30. 23 8.4 32. 41 8.4 31. 02 1 26. 56 1 28. 53 1 27. 26 2 23. 54 2 25. 36 2 24. 18 3 21. 13 3 22. 42 3 21. 32 7.5 18. 48 7.5 20. 08 5.7 19. 05 1 16. 37 1 17. 50 2 16. 53 2 14. 37 2 15. 44 1 14. 53 3 12. 46 3 13. 49 2 13. 03 6.6 11. 03 6.6 12. 03 3 11. 20 1 9. 25 1 10. 23 6.6 9. 44 2 7. 53 2 8. 49 1 8. 14 3 6. 25 3 7. 20 3 6. 48 3.7 4. 59 3.7 5. 54 3.7 5. 26 1 3. 36 1 4. 32 2 4. 06 2 2. 15 2 3. 11 1 2. 48 3 0. 55 3 1. 53 3 1. 31   sub .             4.8 0. 26 4.8 0. 34 4.8 0. 15         sub .   sub . 1 1. 45 1 0. 41 1 1. 01 2 3. 06 2 2. 02 2 2. 17 3 4. 29 3 3. 21 3 3. 34 3.9 5. 53 3.9 4. 42 3.9 4. 53 1 7. 21 1 6. 05 1 6. 15 2 8. 51 2 7. 31 2 7. 39 3 10. 27 3 9. 00 3 9. 08 2.10 12. 08 2.10 10. 35 2.10 10. 41 1 13. 56 1 12. 15 1 12. 21 2 15. 53 2 14. 03 2 14. 07 3 18. 00 3 15. 58 3 16. 04 1.11 20. 19 1.11 18. 06 1.11 18. 11 1 22. 54 1 20. 26 1 20. 31 2 25. 48 2 23. 02 2 23. 09 3 29. 05 3 25. 58 3 26. 07 12 32. 51 12 29. 19 12 29. 32 1 37. 13 1 33. 10 1 33. 28 2 42. 19 2 37. 40 2 38. 07 3 48. 18 3 42. 56 3 43. 35 11.1 55. 20 11.1 49. 10 11.1 50. 05 2 63. 28 1 56. 30 1 57. 46 1 72. 44 2 65. 03 2 66. 43 3 82. 51 3 74. 43 3 76. 51 10.2 93. 23 10.2 85. 15 10.2 87. 47 1 103. 43 1 96. 03 1 98. 50 2 113. 19 2 106. 29 2 109. 21 Declin . 58   59   60   ° ′   ° ′   ° ′ 2 58. 30 1 64. 26 1 61. 59 3 50. 32 2 55. 44 2 53. 04 9.3 43. 50 3 48. 01 3 45. 37 1 38. 13 9.3 41. 35 9.3 39. 28 2 33. 30 1 36. 14 1 34. 22 3 29. 29 2 31. 45 2 30. 06 8.4 26. 03 3 27. 56 3 26. 29 1 23. 04 8.4 24. 40 8.4 23. 23 2 20. 26 1 21. 50 1 20. 41 3 18. 05 2 19. 20 2 18. 18 7.5 15. 59 3 17. 06 3 16. 11 1 14. 04 7.5 15. 05 7.5 14. 16 2 12. 18 1 13. 16 1 12. 31 3 10. 41 2 11. 35 2 10. 54 6.6 9. 08 3 10. 01 3 9. 24 1 7. 42 6.6 8. 32 6.6 8. 00 2 6. 19 1 7. 09 1 6. 39 3 4. 58 2 5. 39 2 5. 23 5.7 3. 42 3 4. 33 3 4. 08 1 2. 26 5.7 3. 18 5.7 2. 56 2 1. 11 1 2. 05 1 1. 24   sub .             3 0. 02 2 0. 53 2 0. 35         sub .   sub . 4.8 1. 16 3 0. 19 3 0. 34 1 2. 31 4.8 1. 31 4.8 1. 44 2 3. 46 1 2. 44 1 2. 55 3 5. 04 2 3. 57 2 4. 07 3.9 6. 24 3 5. 13 3 5. 21 1 7. 47 3.9 6. 32 3.9 6. 38 2 9. 14 1 7. 53 1 7. 58 3 10. 46 2 9. 18 2 9. 23 2.10 12. 25 3 10. 50 3 10. 53 1 14. 11 2.10 12. 28 2.10 12. 30 2 16. 07 1 14. 13 2 14. 14 3 18. 14 2 16. 09 2 16. 09 1.11 20. 35 3 18. 16 3 18. 16 1 23. 14 1.11 20. 37 1.11 20. 39 2 26. 15 1 23. 18 1 23. 21 3 29. 43 2 26. 22 2 26. 23 12 33. 46 3 29. 54 3 30. 03 1 38. 32 12 34. 03 12 34. 19 2 44. 13 1 38. 58 1 39. 24 3 50. 59 2 44. 53 2 45. 31 11.1 59. 02 3 51. 57 3 52. 57 1 68. 27 11.1 60. 26 11.1 61. 52 2 79. 03 1 70. 19 1 72. 17 3 90. 21 2 81. 25 2 83. 53 10.2 101. 38 3 93. 57 3 95. 57 1 112. 11 10.2 104. 37 10.2 107. 35 A Table for East and West Dials .   ° ′ 11 00. 00 1 03. 45 2 07. 30 3 11. 15 10 15. 00 1 18. 45 2 22. 30 3 26. 15 9 30. 00 1 33. 45 2 37. 30 3 41. 15 8 45. 00 1 48. 45 2 52. 30 3 56. 15 7 60. 00 1 63. 45 2 67. 30 3 72. 15 ERRATA . PAge 39. line 7. for 47° . 08′ . read 48° . 08′ . p. 40. l. 19. for 3° . 57′ . r. 63° . 57′ . p. 42. l. 23. for 46° . 35′ . r. 86° . 35′ . p. 42. l. 25. for 10° . 00′ . r. 100° . 00′ . p. 44. l. last , for 69° . 31′ . r. 99° . 31′ . p. 45. l. 11. for 23° . 28′ . r. 23° . 58′ . p. 47. l. 18. for 9° . 3′ . r. 9° . 31′ ▪