UC-NRLF 
 
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 LIBRARY 
 
 UNIVERSITY OF CALIFORNIA. 
 
 JAN 12 1893 . iS<> 
 
 Accessions No. 
 
 Ctes Ato. 
 
ENGINEER S OFFICE, CHESAPEAKE AND OHIO RAILROAD, ) 
 RICHMOND, March 29, 1872. y 
 
 MAJOR HOWARD lias given in this book a simple, yet perfectly accurate 
 method of ascertaining the solid contents of any prismoid . The calculation 
 from end areas is corrected by tables well arranged and few in number, and 
 he has all the accuracy of the prisrnoidal formula with scarcely more trouble 
 than in averaging end areas. 
 
 H. D. WHITCOMB, 
 Chief Engineer Chesapeake and Ohio Railroad. 
 
 E. T. D. MYERS, 
 , Chief Engineer Richmond, Fredericksburg, and Potomac Railroad. 
 
EARTHWORK MENSURATION, 
 
 OK THE BASIS OP THE 
 
 PRISMOIDAL FORMULA. 
 
 CONTAINING A SIMPLE AND LABOR-SAVING METHOD OF 
 
 OBTAINING PRISMOIDAL CONTENTS DIRECTLY FROM END AREAS. 
 
 ILLUSTRATED BY EXAMPLES, 
 
 AND ACCOMPANIED BY PLAIN RULES FOR PRACTICAL USE. 
 
 CO 1ST WAY R. HOWARD, 
 
 CIVIL ENGINEER, EICIIJIOND, VA. 
 
 UNIVERSITY 
 
 NEW YORK : 
 B. VAN KOSTRAim PUBLISHER, 
 
 23 MURRAY AND 27 WARREN STREET. 
 
 1874. 
 
V 
 
 .V 
 
 Entered, according to Act of Congress, in the year 1874, by 
 
 D. VAN NOSTRAND 
 In the Office of the Librarian of Congress, Washington, D. C. 
 
PREFACE. 
 
 THIS work claims to present a new and systematized method of 
 finding the prismoidal contents of Earthwork by means of Tables 
 accompanied by Rules so plain and simple of application as to fit it 
 for the .common uses of Engineers. 
 
 When the ratios of the side slopes are constant between end sec 
 tions of which the transverse surface lines are sensibly similar, all 
 ordinary cases of thorough cut and fill, terminal pyramids, side-hill 
 work, and borrow pits are covered by Formulae (17), (18), and 
 (19), and the prismoidal contents for all side slopes and bases are 
 taken from Tables 4 and 5 by Rules (1), (2), and (3). 
 
 In the method used, the heights of equivalent level sections are 
 not involved, nor is any calculation needed for 100-feet lengths 
 beyond ascertaining the half -sum and the difference of two quanti 
 ties. For the most part Tables do the work of the calculator, and 
 any one who can approximate cubic contents by the rough method 
 of "Average Areas" is competent to obtain the prismoidal contents 
 by the Rules given. 
 
 The tables of level cuttings are not needed when areas are given, 
 and are included chiefly for use in preliminary estimates when the 
 only data are the centre heights and the angles of the transverse 
 surface slopes. With these, the heights of equivalent level sec 
 tions are readily found by Mr. Trau twine s well-known and very inge 
 nious diagrams, than which for the purpose intended probably no bet 
 ter means can be devised. When these heights have been ascertained, 
 the use of the special Correction Tables in connection with those of 
 level cuttings will reduce to a minimum the labor of computing 
 the prismoidal contents. If further tables of level cuttings are 
 considered necessary, the reader is referred to Mr. Trautwine s 
 " Excavation and Embankment," or to the example given at the 
 end of this work, by careful attention to which any required table 
 may be written out with entire accuracy in a few hours. Special 
 corrections for any side slopes may be obtained by Rule 12. 
 
 Not an inconsiderable advantage of the present method is that, by 
 
giving accurate corrections for the familiar approximations in gene 
 ral use, the calculator has the element of error constantly before 
 him, and must speedily learn by practice, if not by theory, the cases 
 in which such corrections become important. But while enough is 
 given, both by rule and example, in Part II. to guide the least theo 
 retical in the use of the tables, in Part I. a strictly mathematical 
 investigation of principles and derivation of formula is submitted 
 to the careful reader. 
 
 The article on Correction of Contents for Curvature was sug 
 gested by that on the same subject in " Henck s* Field-Book," but, 
 by the formulae and table of factors given, in ordinary cases the 
 corrections are much more readily obtained in practice. 
 
 All of the tables in this work have been calculated by the writer, 
 and, as the system used was that of continued additions with special 
 tests at intervals, it is believed that they will be found absolutely 
 correct within the purposed limits, whether the last figure of any 
 amount given be intended to express the nearest whole number or 
 the nearest decimal. 
 
NOTATION AND SIGNS USED. 
 
 A and A = end areas of earthwork. 
 
 M = middle area. 
 
 a and a = areas of triangle between road-bed and intersec 
 tion of side slopes produced. 
 
 1} and y road-bed widths. 
 
 c and c = centre heights of profile. 
 
 li and h =2 heights of equivalent level sections. 
 
 s and s = ratios of opposite side slopes to 1. 
 
 d and d = side distances. 
 
 7ii and li z = side heights. 
 
 N, N , n and ri = correction numbers. 
 
 C = contents for 100 feet. 
 
 Q = correction for curvature. 
 
 <> = "greater or less than." 
 
 ~ = "the difference between." 
 
 " Grade triangle " = triangle between the base and the inter 
 section of the side slopes produced. 
 
UNIVERSITY 
 
 PART I. 
 
 AREAS. GROUND SLOPING TRANSVERSELY. THOROUGH-CUT. 
 
 Fig. 1. 
 
 Let area ABCFD A, area DFG = a, centre height BE c , 
 side heights AK and CL z= /^ and 7/ 2 , side distances AM and XC 
 = d and d , base DF = 5, and ratios of side slopes to 1 = s and s\ 
 
 CASE 1. Side slopes the same. 6- = s. Produce the side slopes 
 until they meet in G. 
 
 = |, hence EG =~ 
 
 2 2s 
 
 , xs b 
 and area a z= 
 
 2 4:3 
 
 But BG e -j- , hence 
 area ACG A -}- a 
 
 and A = x 
 
 is 
 
 (1) 
 
8 
 
 Example. Given s s = f ; I = 18 ft. ; d = 30.9 ; tf = 21.6 ; 
 c = 22.0. 
 
 (tab. 1) = 12, and (tab. 2) = 103. 
 
 and A = 892.5 108 = 784.5. 
 CASE 2. Opposite side slopes unequal, s <> s. 
 The areas of the triangles DAE, EAB, BCE, and ECF arc 
 respectively 
 
 -* X 7i - X h. 
 
 1. _** and? - 
 
 222 2 
 
 and, A = - - - , (2) 
 
 Example. s = J ; 6- = 1 ; & = 1C ; c = 12.6 ; d & d = 10.1 & 
 20.8; A t &// 8 = 8.4 & 21.8. 
 
 8 (8.4+ 21.8) + 12.6 (10.1+29.8) 
 
 A. nr "=. o/U.o. 
 
 CASE 3. DE greater or less than EF. 
 
 Let DE = |, and EF = ^ 
 
 /C /i 
 
 The triangles DAE, EAB and BCE have the same expressions 
 for their areas as in case 2, and area ECF = ^-X^ 2 
 
 hence, A = ..................... (3) 
 
 /v 
 
 Example. Double width track, s - ; s = - ; - = 9 ; =21 
 
 c = 32.8 ; 7/.J & 7/ 8 = 2-4.4 & 40.4 ; d & d = 21.2 & 51.3 
 A _ 9.0 x 24.4 + 21.0 x 40.4 + 32.8 (21.2 -f 51.3) _ 
 
 ~2~ 
 
 Formula (1) applies only to case 1 ; formula (2) to cases 1 and 2 ; 
 and formula (3) is general for all cases where the whole road-bed 
 width is either in cutting or embankment, and the surface slopes 
 are sensibly regular between the centre and side stakes. 
 
 AREAS. SIDE HILL CUTTING. 
 
 Let q the horizontal distance from centre line to grade point 
 opposite, and A = the area of excavation. 
 
9 
 
 CASE 1. Both centre and side height in excavation. 
 The areas of triangles DAE and EAB are as before, and that 
 
 of the triangle running out to grade = ~ 
 
 hence, 
 
 A = 
 
 2 
 
 Example. 8 = 1, 1) 20, c 4.3, 7i t = 10.G, d = 20.6, and 
 q = 6.2. 
 
 A = 
 
 1Q X 10.6 + 4.3 (20.6 + 6.2) 
 
 CASE 2. Centre height in embankment. 
 
 A = 
 
 (5) 
 
 Example. It = IS, li =. 10, q = 5. A = 
 
 (95) 10 
 
 = 20 
 
 AREAS. GROUND LEVEL TRANSVERSELY. 
 
 Fig. 2. 
 
 ^ ? , S. 5 7 B 
 
 G D 
 
 CASE 1. Side slopes the same, or s = s. 
 
 AE = FB = 7/, and EF = CD - b 
 
 Area ABCD = 
 or A = 5 
 
 Example. s = s = - ; I = 16 ; 7i = 20 
 
 A =( 16 -}- 20 x 5)20 = 26 x 20 = 520. 
 
 (6) 
 
 When the field notes are given, this example can, of course, be 
 worked by any one of formulae (1), (2), or (3). 
 
 CASE 2. Opposite side slopes unequal, or s <> s. 
 AE = Us ; FB = Its ; and EF = CD. 
 
 His 4-fl + / t s f -f fly 
 
 area 
 
 or A = 
 
 AT^rrr^ /AB -fCD\ 7 ( 
 
 AB CD = I ^ \h ( 
 
 li 
 
10 
 
 Example. -s = - ; s = 1 ; I = 16 ; li = 20. 
 
 /v 
 
 A = (l6 -f 20 x |)2b = 31 x 20 = G20. 
 
 AREAS. GROUND BROKEN TRANSVERSELY. 
 Fisr. 3. 
 
 To calculate the area tibcdefy I c d e f y. 
 
 The elevations and horizontal distances apart of the points 
 a, I, c } d, c, f f ff f must be determined in the usual manner before 
 the surface is disturbed, and of V, c , d , e ,f, (/ , after the excava 
 tion is made. 
 
 Calculate the area Aalcd efg B between the surface line and 
 the assumed datum plane AB ; also 
 
 The ttre&Aab c d e f g g B between the bottom of the pit as 
 excavated and the same datum plane AB. 
 
 The difference between the results so obtained, gives the area 
 required. 
 
 "When the cross sections of the line have the surface broken 
 transversely, if the slope stakes are supposed to be at a and g (fig. 
 3), and AB is the plane of the road-bed, calculate 
 
 1st : the area A a l> c d cfg B 
 
 2d : the triangles of excess = 
 
 
 The difference between the above two results will give the area 
 of earthwork required. 
 
 For side hill work the process is similar, except that only one 
 
 7i*s 
 triangle of excess = -^-, is to be deducted. 
 
11 
 
 This of course applies to embankment as well as excavation. 
 Rone of the preceding cases require that the cross section shall 
 be drawn before calculating its area, 
 
 CONTENTS. FRUSTUM FORMULA. 
 
 Fig. 4. 
 
 If ABCD and A B C D bo two consecutive cross sections with 
 like surface lines and side slopes but unequal bottom widths, by 
 producing the side slopes until they meet at E and E , the whole 
 figures ABE and A B E are similar as well as the triangles CDE 
 and C D E . But the solid ABCDA B C D being the difference 
 between the frustums ABEA B E and CDEC D E its cubic con 
 tents are 
 
 (ABE + A B E + VABE x A B E 
 
 ( 
 
 - CDE + C D E -f 
 
 x C D E 
 
 in which I represents the distance between the cross sections. 
 
12 
 
 If areas ABCD, A B C D , CDE and C D E be represented by 
 A, A , a and a respectively, then taking I as 100 feet, and repre 
 senting the contents in cubic yards by C, we have : 
 
 (A+^+(A +^)+V(A+a)(A + g )-(^ + a -fV^?) vx 100 
 
 ~~3~ ~27 ( 
 
 If CD = C D then a = a, and the formula becomes : 
 
 a)(A. ! +a) \ 100 
 */2f 
 
 When CD = C D = 0, a vanishes, and 
 A. -f A -f v AAA 100 
 
 = 1 
 
 3 
 
 (10) 
 
 which is the formula for the frustum of a pyramid. 
 
 By formulae (8), (9), and (10) the whole of the formulae for cubic 
 contents hereafter given may be conveniently tested. 
 
 As the solid resulting from connecting the homologous sides of 
 two similar and parallel sections of unequal areas is the frustum of 
 a pyramid, formula (10) is applicable to any plane solid with such 
 end sections, 
 
 CONTENTS. PRISMOIDAL FORMULA. 
 Fig. 5. 
 
 J? 
 
 Let ABCDF be a given cross section, with a base FD = b, and 
 
13 
 
 and s the ratios of its side slopes to 1 ; also let IKDF be an equiva 
 lent cross section with level surface, height MN = h, and with same 
 base and side slopes. Produce the side slopes to their intersection at 
 E, and from E let fall the perpendicular EL on IK, intersecting the 
 base in G. Let area ABCDF = IKDF = A, and FDE = a. 
 
 In the triangle FDE, FG = EG x s, and GD = EG x * , or 
 FD = EG (s -f s ) } whence EG = ?L = _J anc i arca 
 
 * * " t>if o i t- 
 
 <S -f- o 6 -j- o 
 
 __ FDxEG _ I _b_ I* 
 
 ~~ ~ X ~ 
 
 s 2(s + s f 
 Similarly in triangle IKE, EL = h -\- 
 
 IK= 
 
 consequently, 
 
 from which, 
 
 EL = II+T-- 
 
 For convenience of calculation, let GE = -- -. be represented 
 
 s-fs 
 
 A T7T 1 TT ^1 S 
 
 by ff , and J.L by II ; then as ^-^ = -- -- =/-r 
 
 we have, by substitution in (11), 
 
 For a second section with corresponding parts V, H , s and s 9 and 
 
 areas A and a 
 
 and for the area M of a cross section midway between A and A , 
 
 The prismoidal formula for the contents between two end 
 areas A and A at a distance apart = I, with an area M midway be 
 tween them is : 
 
14 
 
 But ^ = ^p. - 
 
 and by substitution in (13) 
 
 C = M+A _A+A -2MV, (u) 
 
 also - = M - t ; and substituting this ku(13) 
 
 C = / M+ ^+4lL 
 
 The two last expressions for the value of C shew that the calcula 
 tion of contents by averaging the end areas requires a minus correc 
 tion ; and by the middle area (or, what is equivalent, taking the 
 amount corresponding to the average of the end heights from a 
 special table) a plus correction of exactly half as much. The actual 
 minus correction will now be found. By substituting the values of 
 A, A and M in the second term of (14) we have : 
 
 = 
 
 V 
 
 and reducing* 
 
 c = ( A + A> - (II 1 ) -Oy-g ) \ ! 
 
 --- -; and g = - 7 , and by substitution in (10) 
 
 8-f-S S-\-S 
 
 1 * V\ A+ x^)^ fl ^o^ ii^LJ j I 
 
 s-4-s 
 * Neglecting the common factors s an(i and tlie denominator, the 
 
 second term becomes, 
 
 2H 2 2 g 2H /2 2<7 /2 II 2 2HIT 
 
 2 
 
 _ H 2 2Hir-fH /2 g*+2(M g f - _ II 
 
 "7~ 2 2 
 
 and restoring the factors - and I, and the denominator, we obtain for 
 mula (1C). 
 
15 
 
 Reducing :* 
 
 making I = 100, dividing by 27, observing that (xy)* (yrf 
 (y~#) 2 , and that t , = a, we obtain : 
 
 y 2 6 
 
 This is the general formula when the opposite side slopes and end 
 road-bed widths are both different. 
 
 "When the road-bed widths are the same, or b ~ b = 0, the last 
 term vanishes, and the formula becomes : 
 
 V 2 6 
 
 This is the general formula for all slopes and bases where the base 
 is constant between the two end sections. 
 When b = l> = o, a o, and 
 
 H^-^^r-- w 
 
 This is the general formula for the frustum of a pyramid,f such as 
 may be the solid between two sections of side hill excavation. 
 
 The correction in terms of equivalent level heights h and li may 
 be found directly from (16) as follows : 
 
 When b = b } the expression (gg Y vanishes and (1C) becomes : 
 
 "" In squaring the binomial of radicals the f actors /__ becomes (i/__l_) 
 
 V s-}-8 \r +V/ 
 
 in the first term, |/_?_ ></_*_ in the second, and L|/_?Lj in the third, or 
 
 6 -(-6 / 6 -|-6 * 8-^-s 
 
 2 8-4-8 
 
 in each ---7. thus cancelling the factor . except in the last term of the 
 
 8-\-S 2 
 
 numerator. 
 
 f Formula (10) before given for the frustum of a pyramid may be traus- 
 
 A I A _|_ A/\A/~ O A I O A I O 
 
 formed into formula (19) ; for ~r * ~r V "" ~ r ^ "J"^ 
 
 3 A-f 3 A r A A +2 -y/ A A _3( A+ A )_A 2 ^/ A A + A _A+ A _ 
 G 6~ 2~~ 
 
 77^- When A =0 in formula (19) it becomes C=(^ - ) ^ 
 
 (-A ~7~ ) ~%Y == ~] ^ ~27~ w ^^ ^ s t ^ ie f rmula for ^ ie solidity of a pyramid, as 
 
 it should le. 
 
10 
 
 but (H-HT 
 
 and substituting, making I 100, and dividing by 27, 
 
 2 2V 27" 
 
 As the plus correction for calculation by middle area was found to 
 be one half of the minus correction for averaging end areas, by 
 making the requisite changes in (20) : 
 
 but when b b, from formula (12), we obtain 
 
 and by substitution : 
 
 This formula is for use when the equivalent level heights have been 
 obtained. 
 
 APPLICATION OF THE PRISMOIDAL FORMULA. 
 
 The prismoidal formula in its ordinary form is applicable to a 
 variety of solids, regular and irregular, but requires that the actual 
 middle section shall be previously determined and its area known. 
 
 In a modified form it can be applied practically by means of 
 tables ; such applications, however, always involving a value of the 
 
 * By substituting the values of H, H , g and g in formula (12) it becomes : 
 M = V 
 
 e 
 
 making b =b, and squaring : 
 
 M = 
 
 4 
 b 
 
 ,7 ( +;, u , H ; t 
 
 V 8 / V /^X 2 
 
 4 \ 8 / A" 8 7 \ 8 / 8 
 
 This also results directly from formula (7) by taking the area of a second 
 section for a height of h , and averaging like parts for M. 
 
middle area which can be deduced directly from the end areas with 
 out necessitating a previous knowledge of the parts of either the 
 middle or the end sections. 
 
 But in all of its modifications, as well as in its ordinary form, the 
 prismoidal formula invariably involves the area of the actual middle 
 section of the solid to which it is applied, and, as in " Roots and 
 Squares" and " Equivalent level heights, both methods involve a 
 value of the area of this middle section (carried to intersection of 
 side slopes when in thorough-cut) which can be proved identical 
 with that of the frustum of a pyramid, the theoretical application of 
 these methods is limited to solids with end sections sensibly similar, 
 or which can DC rendered so by being carried to the intersection of 
 the side slopes. 
 
 As the above has been ignored by other writers on this subject, its 
 mathematical proof will be given. 
 
 The contents of a frustum may be expressed either by the pris 
 moidal or the frustum formula, therefore in the case of a frustum : 
 
 A+A +4M A+A+VAA 
 
 - 7. ~ X ~~ o X & 
 u o 
 
 A I A I 2 \ / \ \ 
 whence A+A -f 4M = 2A+2A +2VAA , and M = - -~ 
 
 _ 
 A 2 
 
 The formula of Roots and Squares where A and A represent the 
 end sections* is (Formula 19) : 
 
 /A+A 
 
 ~ 
 
 and the prismoidal formula for the same solid is : 
 n _ /A+A +4M\100 
 
 = - ~~ ~ 
 
 A+A +4M A+A 
 hence- ^ -- 
 
 clearing fractions, A+A +4M = 3A+3A -(v / A- 
 
 2A+2A -A+2VAA7-A 
 
 _ 
 
 _ / 
 V 
 
 In two end sections with surface level transversely and side slopes 
 constant, if H an-1 H represent the heights from intersection of side 
 slopes to surface and s the ratio of the side slopes to 1, the areas of 
 
 * In tins article, whether the end sections are carried to intersection of side 
 slopes or not, their areas are expressed by A and A . 
 
18 
 
 the end sections to intersection are li s = A, and II 2 s = A , and for 
 the area of the middle section, by averaging like parts : 
 /H-fHV _ 
 
 H s r * 
 
 which is the same value of M as that before obtained. Substituting 
 this in the prismoidal formula : 
 
 <z. __, and reducing, 
 _ lOG^A+A -fVAA 7 100 
 
 6 ~~ x ~27~~ 3 x ~27~ 
 
 which is the formula for the frustum of a pyramid, and shows that 
 this value of M introduced into the prismoidal formula limits its 
 application to such solids only as arc frustums of pyramids. This 
 will be illustrated further from Example 5, page 3G, in which when 
 carried to the intersection of the side slopes produced, the end sec 
 tions are similar. 
 
 . Thus carried to intersection, the end areas and the actual middle 
 area are respectively 349, 2951, and 1333, as given page 3(j. 
 By Roots and Squares 
 
 = 1332 
 
 By equivalent level heights 
 
 II = y - = y 349x |= 15.25 
 
 II -V =V 2951x1 = 44.35 
 
 8 
 
 By substituting this value of M in the prismoidal formula : 
 C = 3JO+ 
 
 For calculation by equivalent level heights as table 15 has a 
 base of 14 feet, and the above heights are taken to intersection of 
 
 side slopes, (- -) x!4x- k -^r must be deducted from contents 
 \ ~ / ^7 
 
 taken from tables. 
 
19 
 
 By Rule 4, 
 
 ^ 29.8 table 15.. 6,47* 
 
 & 
 15.25~44.35 = 29.1 table 17. .+ 392 
 
 6,871 
 
 Deduct 29.8x14 X^ = 417.2 table 4. . .1,545 
 
 5,336 cyds. 
 By mean proportional or frustum formula : 
 
 1 00 
 By deducting tlie grade prism 32.7 X -^y = 121 cyds., practically 
 
 the same result as that given on page 36 is obtained. 
 
 Another case in which the area of the actual middle section can 
 be deduced from the end areas directly, is when each of the latter 
 can be expressed by two surface dimensions, one of which is the 
 same for both end sections, as in solids whose end sections are 
 parallelograms or triangles with the same base and different heights, 
 or vice versa. Thus if Hi = A and lh r = A represent the end areas 
 of a solid of which the end sections are triangles with the same 
 base and different heights, as may be the case in side hill cutting 
 where the transverse surface slope increases regularly between the 
 end sections, by averaging like parts the middle area is 
 
 v i( lt + n \ m + w A+A/ 
 *(-*-)= " 
 
 And as the prismoidal formula is applicable here, by substituting 
 this value of M : 
 
 ~s~ ~ X W - W 
 
 which is the average area formula, in this case giving the prismoidal 
 contents. As an example, suppose the triangular end sections of 
 the solid to have a base of 20 feet and heights of 10 and 40 feet 
 respectively. Then A 10 x 10 = 100 ; A = 10 x 40 = 400 ; and 
 
 
 
 By the prismoidal formula : 
 
 n 100 + 400 -f 4 x 250 100 
 
 C=- - - x - = 250 table 4... 926 cds. 
 
20 
 
 Calculated by Roots and Squares M = \ __ 935 
 
 \ 2 / 
 
 and this substituted in the prismoidal formula gives 
 
 100 
 
 C = 
 
 U /v l 
 
 ^ 
 
 Here the average area formula gives the prismoidal contents, and 
 the prismoidal formula applied by its modification of Roots and 
 Squares gives a very rough approximation. The same inaccuracy is 
 of course involved in the method by equivalent level heights, what 
 ever may be the shape of the equivalent and similar end sections of 
 which the level heights are obtained. For instance, if the side hill 
 work is excavated at rock slope, the level heights, if carried to 
 vertex, may be taken for sections with any other side slopes, as 1 to 
 1, or 1J- to 1. 
 
 At 1 to 1 carried to vertex H = |/^= 10 ; IT = \/~~ = 
 
 20, and to calculate by table 12, with side slopes 1x1 and base 18 
 feet: 
 
 = 15 table 12 .............. 1833 
 
 2 
 
 10-20 = 10 table 14 ............... +31 
 
 Deduct 15xl8x-~ = 270 table 4 ............ -1000 
 
 864 cyds. 
 
 at 1 to 1 carried to vertex II = V^00x"f = 8.16 ; H = -\AOOxf 
 = 16.33, and to calculate by table 15, with side slopes 1 to 1, and 
 base 14 feet. 
 
 8 - 1C + 16 33 = 13.845 table 15 ....... 1468 
 
 
 
 8.1616.33 = 8.17 table 17 ....... +31 
 
 Deduct 12.245xl4x^= 171.4 table 4 ....... -635 
 
 /v 
 
 864 cyds. 
 
 The two last examples show the same error of 62 cyds. obtained by 
 Equivalent level heights, as before by Roots and Squares. 
 I?y mean proportionals or frustum formula : 
 
21 
 
 By Rule 2, 
 
 926 
 
 10~20 = 18 table5.. . 62 
 
 864 cyds. 
 
 If the above sections were similar, as for instance with dimensions 
 10 x 10 and 20 x 20, the first method by average areas would give 
 too much by 62 cyds, whilst by the others the true prismoidal con 
 tents would be obtained. 
 
 If both the heights and bases are different and the sections are 
 
 A-f-A 
 
 not similar, the middle area will be less than - - and greater 
 
 tit 
 
 than I V A-fv A \ ^ an ^ canno ^ j^ obtained directly from the end 
 
 \ JO r 
 
 areas. In such cases, the exact contents can be determined by the 
 prismoidal formula only by first obtaining the dimensions of the 
 actual middle section and calculating its area. 
 
 Practically in railroad earthwork it is only when the transverse 
 surface lines of the end sections are very dissimilar and the areas 
 differ greatly in size that the resulting errors become important, and 
 as at such points the cross sections are usually taken nearer 
 together, it is very rarely the case that the methods of Eoots and 
 Squares and Equivalent level heights fail of practical correctness. 
 In cases of doubt, however, especially when the surface is warped 
 between the end sections, it is safer and better to obtain the area of 
 the actual middle section before calculating the contents. 
 
 CORRECTION OF CONTENTS FOR CURVATURE. 
 
 The following article was suggested by that given in Henck ? s 
 " Field Book/ page 110. 
 
 In excavation on curves, although the cross sections are actually 
 staked out in the direction of the radii at the extremities of the 
 chords, the calculation of contents is made as if these cross sections 
 were perpendicular to the chords. In some cases, especially where 
 the transverse surface slope is considerable, this is the occasion of a 
 sensible error requiring a corresponding correction, the amount of 
 which is determined as follows : 
 
 >^ OP THE"^ 
 
Fig. 6. 
 
 Suppose A, B, and C to be three consecutive 100 feet stations 
 on a curve of radius OB ; and BF and BII the side distances at 
 station B. 
 
 The calculation of contents between A and B, and B and C 
 made as if the cross sections at these points were on the lines KjLj. 
 and KL, and K L and K 3 L 2 , or perpendicular to the chords AB 
 and BC, requires at each station a correction similar to that at B, 
 which will now be considered. It is evident that the correction is 
 the difference between the masses KBK and L BL, on opposite 
 sides of the centre line, and between the two vertical planes KL and 
 K L ; these masses having for their cross sections respectively the 
 half-breadths BF and BH. The angle KBK being very small, the 
 arcs KFK and L HL will be considered as straight lines ; and, as 
 the angle KBF = L BII = $ KBK = TBA = D, the deflection 
 angle of the curve, the distance KF = BF x sin D ; or, generally 
 for small angles, any horizontal line as KK or L L measured per 
 pendicularly to the radius OB, and terminated by the planes KL 
 and K L , is practically equal to BF or BH (the corresponding 
 horizontal distance from the centre line) multiplied by 2 sin D. 
 Consequently, the masses KBK and L BL being considered as trun 
 cated prisms with the areas of the half-breadths BF and BH as 
 bases, their heights at any given points are equal to the horizontal 
 distances of these points from the centre line, multiplied into twice 
 the sine of the deflection angle. 
 
Fig. 7. 
 
 Conditions. Sin 
 gle width road-bed 
 and opposite side 
 slopes the same. 
 Transverse surface 
 slopes regular, 
 
 Let FBHT represent the cross section at B (Fig. C). 
 To simplify calculations, the equal prisms MPT and PTX are 
 added. 
 
 The area FBT = (BP+PT) - = ( c +~r-, and the heights 
 
 /y y /is / lv 
 
 of the prism corresponding are = d x 2 sin D at F, and = at B 
 and T. Its contents therefore = / c ~i~7" feX ( ~ ^~q~ ~ ) Similarly 
 
 . TTT >r n 
 
 the contents of prism HBT := 
 
 2sinD\ 
 ?, ~) an( ^- 
 
 correction required, which is the difference of their volumes, 
 I d z 2 sin D b \cr 2 sin D 
 
 and if Q represents the required correction in cubic yards, 
 
 But, from formula (1), |c-[-~)( - -J = A+, the area carried 
 to intersection of side slopes ; also sin D = , and as E -g- , in 
 
24 
 
 C 
 which C represents the degree of curve, 2 sin D = 50 x 2 x ^r 
 
 o i [ 
 
 
 "57.3 
 
 Therefoie, 
 
 = (A+) Cx ^^ (23) 
 
 57.3x3x27 
 
 In side hill work, as shown by Mr. Ilenck, the general formula 
 
 wli ,-,,-, ,100 
 lor the correction in cubic feet is Q = (d-\-o w)-^, in which 
 
 *i ol\ 
 
 w represents the width of excavation at the road-bed. But as - 
 
 = A, the area of earthwork, in this case the correction in cubic 
 yards is 
 
 57.3x3x27 
 
 Values of the last factor in formulae (23) and (24) are given in 
 Table 18. 
 
 In excavation the correction for curvature as obtained by for 
 mulas (23) and (24) is to be added when the curve is convex, and 
 subtracted when it is concave toward the higher ground, and in em 
 bankment these conditions are reversed. It is supposed to be 
 applied at the middle one of three cross sections at intervals of 100 
 feet, and all on the same curve. 
 
 If the distance to either of the cross sections next the one under 
 consideration differs from 100 feet, the correction found as above is 
 to be multiplied by the half sum of the two distances and divided by 
 100. 
 
 At points of curve or tangent one of these distances of course 
 becomes nothing. 
 
 Whether the side slopes, or the widths from the centre line to 
 the edge of the road-bed, are different or not, if the transverse sur 
 face lines are broken, the cross sections should be drawn to scale, 
 the two half -breadths divided into triangles, and the horizontal dis 
 tances from the centre line to the corners of each subdividing 
 triangle measured on the drawing. The sum of the three distances 
 
 2 sin I) 
 for each triangle multiplied by its area and by - will give the 
 
 contents in cubic feet of the prism corresponding. It is not mate 
 rial how the sides of the subdividing triangles are drawn, provided 
 that the whole of each triangle is on the same side of the centre line. 
 The difference of the masses whose cross sections are the half- 
 
25 
 
 breadths FB and BH (Fig. G), and which lie on opposite sides of the 
 centre line between the vertical planes KL and K L , the base plane 
 and the planes of the side slopes, is in all cases the correction 
 required. 
 
 With double-width track or opposite side slopes different, if the 
 surface is regular from the centre to the slope stakes, from formula 
 
 (3), the areas of the triangles of one half -breadth are - x/ i and , 
 
 and of the other -rX/^o and 
 
 The heights of the prisms corresponding to these areas are 
 
 2 sin D ; (d+O+O) | sin D . / ^ _|_| + o) f sin D ; and 
 (J -f-O-fO) | sin D, and their contents 
 
 sin D shl D x " d/+ sin 
 
 and (-|-)f sin D ; but as f 55. = Cx 0.000215, the correction 
 in cubic yards becomes 
 
 d~d ) \ Cx 0.000215 .......... (25) 
 
PART II. 
 
 PLAIN INSTRUCTIONS 
 
 FOR OBTAINING THE PRISMOIDAL CONTEXTS OF EARTHWORK, WITH 
 PRACTICAL RULES AND EXAMPLES SHOWING THE USES OF THE 
 ACCOMPANYING TABLES IN SIMPLIFYING COMPU 
 TATIONS BY THE FORMULAE OF PART I. 
 
 THE following Rules for computation of Cubic Contents are based 
 on the condition that the transverse surface lines of the end sections 
 shall be sensibly similar ; but it will be observed that 1, 2, and 3 
 together coverall cases to which the method of " Roots and Squares, 
 or of " Equivalent level heights," can be correctly applied, and that 
 the practical limit of their application may be indefinitely extended 
 by increasing the proximity of the cross sections in rough ground. 
 
 To find the prisvtioidal contents of thorough-cut or Jill when road-bed 
 
 width and side slopes are constant between end sections. 
 Given : areas, side slopes, and base (A and A , s and s , and b). 
 
 RULE 1. (FORMULA 18). 
 Enter table 2 with the given road-bed width (#), and the half 
 
 (X-L-,S \ 
 ^ J, and take out the corre 
 sponding area = a. Add this to each of the given end areas and the 
 square roots of the resulting quantities (<\/A-|-ft and \/A -{-aj from 
 table 3 are N and N , the correction numbers. 
 
 Enter table 4 with the average of the end areas ( "^ )> an( l 
 
 table 5 with the difference of the correction numbers (N~N ), and 
 take out the corresponding quantities. The difference of the quan 
 tities taken from tables 4 and 5 is the contents in cubic yards for a 
 length of 100 feet. 
 
 For a different length multiply by the length iu feet and divide 
 by 100. 
 
 Example. Given A - 974 ; A = 87 ; ,9 = i ; s = ; I = 20. 
 
27 
 
 s-4-s 
 From table 2 when b = 20 and -77 = f> ^ ne area * tne 
 
 triangle () = 160 
 
 <V/A-f- = V974 + 160 = 1134 table 3 33.7 = N 
 
 ^/A^a = A/87 + 160 = 247 table3 15.7 = X 
 
 A+A 974+87 _ K , , , 
 
 Z_ = _I o30. 5 table 4 196o 
 
 2 2 
 
 N~N i= 33.7~15.7 = 18.0 table 5. . . . 200 
 
 Contents for 100 feet .......... 1765 cyds. 
 
 For a different length as 80 feet, 1765 x 0.8 = 1412 cyds. 
 XOTE. If the square roots of the areas to the intersection of the 
 side slopes are obtained and recorded when the areas are calculated, 
 as will ordinarily be found more convenient, the data are A and A 
 and N and N ; , and only the two last steps of Rule 1 are necessary. 
 
 To find the prismoidal contents of side hill work, pyramids, and any 
 solid with similar end sections. 
 
 Given : end areas (A and A ). 
 
 RULE 2 (FORMULA 19). 
 
 Take the square roots of the end areas (A/ A and A/ A 7 ) from 
 table 3 = n and ri. 
 
 Enter table 4 with the average of the end areas ( - V and 
 
 \ 2 / 
 
 table 5 with the difference of the correction numbers (n~ri), and 
 take out the corresponding quantities. The difference between the 
 quantities taken from tables 4 and 5 is the contents in cubic yards 
 for 100 feet. 
 
 For a different length multiply by the length in feet and divide 
 by 100. 
 
 Example. Given end areas A = 41 and A = 185. 
 
 A/A = 41 table 3 = 6.4 = n; A/ A 7 = 183 table 3 = 13.6 = n . 
 
 _ +185 = 113teble4 ....... 418 . 5 
 
 / & 
 
 ri = 6.413.6 = 7.2 table 5 ....... 32.0 
 
 Contents for 100 feet ........... 386.5 cyds. 
 
 
 For a different length, as 25 feet, -^- = 96.6 cyds. 
 
 Example. Pyramid. Given end areas A = 104 and A = 0. 
 A/A = 104 table 3 = 10.2 = n ; A/A 7 = = n. 
 
28 
 
 A+A 1044-0 
 
 _Z _ IL_ 2 table 4 192.G 
 
 n~ri = 10.2-0 = 10.2 table 5 -64.2 
 
 Contents for 100 feet 128. 4 cyds. 
 
 For a different length, as GO feet, 128.4x0,6 = 77 cyds. 
 
 KOTE. Examples under Rule 1 can be readily tested by Rule 2, 
 the difference in the working being that the grade prism is first 
 included and then deducted. For instance, in the example given 
 under Rule 1, the end areas to intersection of side slopes are 1134 
 and 247, and the square roots corresponding 33.7 and 1G.7 then : 
 .1134^-247 = G95> 
 
 2 
 33.7-15.7 = 18.0 table 5 . . . . -200 
 
 Contents to intersection of side slopes . . .2358 
 Less grade prism 160 table 4 593 
 
 Contents of earth work for 100 feet.. 1765 cyds. 
 
 To find the prismoidal contents of thorough-cut or fill when the end 
 road-bed widths are different. 
 
 Given : end areas, side slopes, and end road-bed widths (A and A ; 
 s and s ; 1) and V). 
 
 RULE 3 (FORMULA 17). 
 
 g I < 
 Enter table 2 with and Z>, V and l~l respectively, and 
 
 /v 
 
 take out the corresponding areas a, a and a". From table 3 take 
 out the square roots of the end areas to intersection \/A+a = N", 
 and \/A -\-a = X . 
 
 Enter table 4 with - (- , and table 5 with N"~N , and the 
 /& o 
 
 difference between the corresponding quantities taken from tables 4 
 and 5 is the contents in cubic yards for 100 feet. For a different 
 length multiply by the length in feet and divide by 100. 
 
 Example. Given I = 16 ; V = 40 ; s = J ; 5 = | - ; A = 1565 ; 
 A = 253. 
 
 Here a = 128 ; a = 800 ; a" = 288 ; N = 41.1 and N = 32,4. 
 
 A+A a" 1565+253,288 QKW , v, 
 
 -^ HTT^ ^- +y- = 9o7table4 3o44.4 
 
 X~:\ T/ = 41.1-32.4 = 8.7 tablc 5 -46.7 
 
 Contents for 100 feet 3497.7 
 
 Q \ Q*V *y 
 For a different length, as 50 feet 5 = l^ 49 cyds. 
 
29 
 
 The example under Eule 3 is of a case where averaging the end 
 areas gives less than the prismoidal contents. It may be tested by 
 Formula 8, page 12, as also Rules 1 and 2 by Formulae 9 and 10. 
 
 To find the prismoidal contents when the ground is level transversely, 
 or where the heights of equivalent level sections have been obtained. 
 
 Given : level heights, base and half -sum of ratios of side slopes 
 and h ; I and ^l Y 
 
 RULE 4 (FORMULA 21). 
 Enter the table of level cuttings for the proper base and side 
 
 slopes with the half -sum of the end heights ( - -), and the table 
 
 \ * / 
 
 of special plus corrections for the same side slopes with the diffe 
 rence of the end heights (h~h r ), and take out the corresponding 
 quantities. The sum of these quantities is the contents for 100 feet. 
 For a different length, multiply by the length in feet and divide 
 by 100. 
 
 Example. Given I = 14 ; h = 8.6 ; /// = 36.8 ; ^ti = H. 
 
 = m table 15.. ..4040 
 
 x> 
 
 h~h = 8.G~3G.8 = 28.2 table 17 +368 
 
 Contents for 100 feet 4408 cyds. 
 
 For a different length, as 85 feet, 4408 x 0.85 = 3747 cyds. 
 
 To find the Correction for Curvature in single width thorough-cut 
 when the transverse surface slope is regular. 
 
 Given : area to intersection of side slopes, degree of curve, and 
 difference of side distances (A-\-a, C, and d~d ). 
 
 RULE 5 (FORMULA 23). 
 
 Enter table 18 with d~d and take out the corresponding factor : 
 multiply this into the product of A+ by C, and the result is Q 
 the correction in cubic yards, to be applied at the middle one of 
 three stations, all on the same curve and 100 feet apart. If the dis 
 tance to either of the other two stations from the middle one differs 
 from 100 feet, multiply by the half -sum of the two distances and 
 divide by 100. 
 
30 
 
 This correction is to be added or subtracted accordingly as the 
 curve is convex or concave, toward the higher ground. 
 
 Example, Given c = 28 ; 7^ = 40 ; h 2 = 16 ; d = 74 ; rf = 38 ; 
 6 = 28 ; E = 1400 ; or A+ = 2090 ; C = 4.09 ; d~d = 30. 
 
 36 table 18 = 0.00776, 
 ami 2090x4.09x0.00776 = 66.3 cyds. 
 
 If the distances to the two adjacent stations are 50 and 40 feet 
 
 respectively, the correction required is ~X^6.3 = GG.3xO.-l 5 
 
 = 29.8 cyds. 
 
 To find the correction for curvature in side-hill work when the trans 
 verse surface slope is regular. 
 
 (liven : area ; degree of curve ; side distance ; road-bed width ; 
 and width of excavation at road-bed (A : C ; d; b ; w). 
 
 RULE 6 (FORMULA 24). 
 
 Enter table 18 with d-\-l) io and take out the corresponding 
 factor : multiply this by the product of A by C, and the result is 
 Q the correction in cubic yards, to be applied in all respects as in 
 Rule 5. 
 
 Example. Given w 17 ; b 30 ; d - 51 ; 7/ t = 24 ; 1! = 
 1600 ; or A = 204 ; C = 3.5S ; d+l-w = 64. 
 
 G4 table 18 = 0.01379, 
 and 204x3.58x0.01379 = 10.1 cyds. 
 
 If both intervals are 50 feet, the correction required is ~^~ 
 
 X 10.1 = 10.1 X 0.5 = 5 cyds. 
 
 For correction for curvature when the transverse surface slope is 
 broken, or for double-width thorough-cut, sec page 24. 
 
 Rules 5 and 6 apply to excavation only. For embankment the 
 correction is to be added or subtracted accordingly as the curve is 
 concave or convex toward the higher ground. 
 
31 
 
 MISCELLANEOUS EXAMPLES. 
 EXAMPLE 1. 
 
 (1) 
 
 (2) 
 
 (3) 
 
 (4) 
 
 (5) 
 
 (6) 
 
 (?) 
 
 (8) 
 
 (3) 
 
 (10) 
 
 ss o 
 
 02 .2 
 
 
 
 fig 
 
 End 
 
 Areas. 
 
 Average 
 Areas. 
 
 Corr n 
 
 Areas. 
 
 Corr n 
 sq. roots 
 
 Diff. 
 sq. 
 roots 
 
 Average 
 Contents. 
 cu. yds. 
 
 Corr n 
 Contents, 
 cu. yds. 
 
 Prismoidal 
 Contents, 
 cu. yds. 
 
 
 
 
 
 
 
 
 | 
 
 
 
 
 0.0 
 
 
 0.0 
 
 0.( 
 
 
 
 
 
 
 80 
 
 
 30.0 
 
 
 
 7.7 
 
 88.9 
 
 29.3 
 
 59.6 
 
 fl 
 
 
 GO.O 
 
 
 j 60.0 M 7.71 
 U60.0J J12.6 f 
 
 
 
 
 
 
 60 
 
 
 96.2 
 
 
 2.6 
 
 213.8 
 
 2,5 
 
 2113 
 
 1 
 
 
 132.5 
 
 232.5 
 
 15.2 
 
 
 
 
 
 
 100 
 
 
 190.9] 
 
 
 3.5 
 
 707.0 
 
 7.6 699.4 
 
 3 
 
 
 249.2 
 
 
 349.2 
 
 18.: 
 
 
 
 
 
 
 100 
 
 
 280.9 
 
 
 
 1.6 
 
 1040.3 
 
 1.6 
 
 1038.7 
 
 5 
 
 
 312.7 
 
 
 412.7 
 
 203 
 
 
 
 
 
 
 100 
 
 
 466.6 
 
 
 
 6.5 
 
 1728.1 
 
 26.1 
 
 1702.0 
 
 w 
 
 < 
 
 
 G20.5 
 
 
 720.5 
 
 26.8 
 
 
 i 
 
 
 
 100 
 
 
 682,6 
 
 
 
 2.3 
 
 2528.1 
 
 3.3 
 
 2524.8 
 
 9 
 
 
 744.8 
 
 
 844.8 
 
 29.1 
 
 
 
 
 
 
 100 
 
 
 864.9 
 
 
 
 3.8 
 
 3203.3 
 
 8.9 
 
 3194.4 
 
 11 
 
 
 985.0 
 
 
 1085.0 
 
 32.9 
 
 
 
 
 
 
 100 
 
 
 893.3 
 
 
 
 2.9 
 
 3308.5 
 
 5.2 
 
 3303.3 
 
 13 
 
 
 801.5 
 
 
 901.5 
 
 30.0 
 
 
 
 
 
 100 
 
 
 608.7 
 
 I 
 
 7.3 
 
 2254.4 
 
 32.9 
 
 2221.5 ; 
 
 15 
 
 
 416.0 
 
 
 516.0 22.7 
 
 
 
 
 . 
 
 
 100 
 
 
 287.8 
 
 
 
 6.6 
 
 1065.9 
 
 26.9 
 
 1039.0 
 
 17 
 
 
 159.5 
 
 
 259.5 
 
 16.1 
 
 
 
 
 1 
 
 
 40 
 
 
 129.7 
 
 
 
 2,0 
 
 192.1 
 
 1.0 
 
 191.1 
 
 rt 
 
 
 100.0 
 
 
 1 200.0 1 
 1 100.0 f 
 
 m.i) 
 Uo.0 f 
 
 
 
 
 
 
 50 
 
 
 50 
 
 
 
 10.0 
 
 92.6 
 
 30.8 
 
 61.8 
 
 
 
 
 0.0 
 
 
 0.0 
 
 0.0 
 
 
 
 
 1 
 
 
 16423.0 
 
 -176.1 
 
 =16246.9 
 
 
 
 
 1 
 
 Example 1, as above, is of the railroad cut given in Morris s 
 "Earthworks,"* pp. 47-54, with contents computed by Rules 
 1, 2, and 4, and the auxiliary tables of the present work. As 
 here used, the areas are supposed to belong to sections which, when 
 carried to the intersection of the side slopes in thorough-cut, are ren 
 dered sensibly similar, and the examples as here given are intended 
 
 * "Easy Rules for the Measurement of Earthworks by means of the Pris 
 moidal Formula. By Ell wood Morris, C.E." Philadelphia : 1872. 
 
32 
 
 to show only the comparative facility of arriving at the prismoidal 
 contents by Mr, Morris s methods and those of the preceding rules 
 when the above condition of similarity is fulfilled, and not to 
 endorse the application of the method of " Roots and Squares " (or of 
 the rules of this work) in cases where the hypothetical middle area 
 materially differs from the actual one.* 
 
 Except by trial with the actual middle section and the prismoidal 
 formula, it seems almost impossible in cases of dissimilar end sections 
 to know when the application of the method of Roots and Squares, or 
 of the preceding rules, begins to fail of practical correctness, but it 
 may safely be assumed that if the ground is properly and sufficiently 
 cross-sectioned, the results obtained by them will be practically the 
 prismoidal contents. 
 
 The above tabulated example shows all the steps necessary .in 
 (hiding the prismoidal contents in cubic yards when the areas are 
 given. Columns (1), (2), and (3) being written out, (4) is derived 
 directly from (3) by averaging ; (5) from (3) by adding area of grade 
 triangle in thorough-cut ; (G) from (5) by table 3 ; (7) from (G) by 
 subtraction ; (8) from (4) by table 4 ; (9) from (7) by table 5 ; and 
 (10) from (8) and (9) by subtraction. 
 
 Column (4) gives the average end areas throughout the cut, 
 including the terminal pyramids, and the only break in the routine 
 of adding the area of the grade triangle in column (5) is at the point 
 where the cutting runs out on the lower side. At such points two 
 areas have to be used, the one of earthwork plus the grade triangle, 
 for computation of thorough-cut by Rule 1, and the other of earth 
 work alone, for the calculation of the pyramid or side-hill work 
 into which the thorough-cut changes, and of which the computation 
 of contents falls under Rule 2. 
 
 Column (8) gives the contents between each two stations roughed 
 out by the common method of " average areas," column (9) the cor 
 responding error, and column (10) the prismoidal contents, all in 
 cubic yards. 
 
 It is not strictly necessary to write out all of the columns given 
 above, but errors are so much more readily detected when all of the 
 steps are shown, that ordinarily time and labor will be saved by 
 adopting some system of tabulating similar to the above, both as 
 regards the number of columns and the arrangement by which the 
 figures ref en-ing to each two stations may be recorded on a line 
 between them. 
 
 * See article on the application of the prismoidal formula, page 16. 
 
33 
 
 The prismoidal contents in cubic yards between stations 1 and 1 7 
 are given by Mr. Morris as 15,721, and by the above computation as 
 15,723, whilst the contents of the whole cut given by him as 16,664 
 appear above as 16,247. The discrepancy is in the truncated por 
 tions of the cut outside of stations 1 and 17, which by some over 
 sight he gives as 943, instead of 524 cubic yards. 
 
 The preceding example will now be computed by equivalent level 
 heights and Rule 4. The data of level heights are supposed to be 
 obtained from Trautwine s diagrams, as when such accuracy is 
 required as renders the calculation of areas necessary, Rule 1, 2, or 3 
 should be used for the computation of contents. 
 
 EXAMPLE 2. 
 
 0) 
 
 (2) 
 
 (3) 
 
 (4) 
 
 (5) 
 
 (6) 
 
 (7) 
 
 (8) 
 
 Stations. Distances. 
 
 Eq. Level 
 
 Heights, 
 
 Eq. Level 
 Heights. 
 Half-sum. 
 
 Eq. Level 
 Heights. 
 Difference. 
 
 End 
 Heights. 
 Contents. 
 
 Corr n 
 Contents, 
 cu. yds. 
 
 Prismoi 
 dal 
 Contents, 
 cu. yds. 
 
 
 
 
 0.7 
 
 
 
 
 
 
 
 40 
 
 
 1.6 
 
 1.9 
 
 51 
 
 
 
 51 
 
 a 
 
 
 2.6 
 
 
 
 
 
 
 
 60 
 
 
 3.9 
 
 2.6 
 
 207 
 
 1 
 
 208 
 
 I 
 
 
 5.2 
 
 
 
 
 
 
 
 100 
 
 
 7.0 
 
 3.5 
 
 700 
 
 4 
 
 704 
 
 3 
 
 
 8.7 
 
 
 
 
 
 
 
 100 
 
 
 9.5 
 
 1.6 
 
 1038 
 
 1 
 
 1039 
 
 5 
 
 
 10.3 
 
 
 
 
 
 
 
 100 
 
 
 13.6 
 
 6.5 
 
 1692 
 
 13 
 
 1705 
 
 7 
 
 
 16.8 
 
 
 
 
 
 
 
 100 
 
 
 18.0 
 
 2.3 
 
 2533 
 
 2 
 
 2535 
 
 9 
 
 
 19.1 
 
 
 
 
 
 
 
 100 
 
 
 21.0 
 
 3.8 
 
 3189 
 
 5 
 
 3194 
 
 11 
 
 
 22.9 
 
 
 
 
 
 
 
 100 | 
 
 21.5 
 
 2.9 
 
 3305 
 
 3 
 
 3308 
 
 13 
 
 .20.0 
 
 
 
 
 
 
 
 100 | 
 
 16.4 
 
 7.3 
 
 2211 
 
 16 
 
 2227 
 
 15 
 
 
 12.7 
 
 
 
 
 
 
 
 100 
 
 
 9.4 
 
 6.6 
 
 1024 
 
 13 
 
 1037 
 
 17 
 
 
 6.1 
 
 
 
 
 
 
 
 40 
 
 
 5.1 
 
 2.0 
 
 190 
 
 
 
 190 
 
 a 
 
 
 4.1 
 
 
 
 
 
 
 
 25 
 
 
 2.6 
 
 3.1 
 
 54 
 
 1 
 
 55 
 
 
 
 
 1.0 
 
 
 
 
 
 
 
 16194 
 
 -f-59 = 
 
 16253 
 
34 
 
 Yfitli equivalent level heights given, the above tabulated example 
 shows all the steps required in finding the approximate prismoidal 
 contents in cubic yards. Columns (1), (2), and (3) being written 
 out, (4) is derived directly from (3) by averaging, and (5) from (3) 
 by subtracting. The table of level cuttings for a base of 20 feet and 
 slopes 1 to 1, from which column (G) should be taken, is not pub 
 lished in this volume, but its place may readily*be supplied by adding 
 1. to each of the heights of column (3), and taking 70 from each of 
 the corresponding quantities in table 12. Such remainders are the 
 amounts in column (G). Column (7) is derived from (5) by table 
 14, and (&) from (G) and (7) by addition. 
 
 In ordinary ground sloping transversely, the area of earthwork of 
 the terminal pyramid at the point where the centre height is 
 nothing, is about one-fourth of the area of the section where. the 
 pyramid begins ; and practically, as only small quantities are con 
 cerned, the equivalent level height corresponding may be taken as 
 one-fourth of that corresponding to >tho area of the base of the 
 pyramid. 
 
 The calculation of contents by equivalent level heights and 
 tables is well suited for preliminary or approximate estimates, espe 
 cially if, as in the present case, when the sum of the tenths of the 
 end heights is uneven, the average is always taken as the tenth next 
 greater than the actual half-sum. 
 
 The variation between the contents of the thorough-cut from 1 to 
 17, as given in Examples 1 and 2, is due to the fact that the equiva 
 lent level heights are carried out to tenths only. In the present 
 case, at a height of 20 feet the increment is over two cubic yards for 
 each 0.01 of a foot, and in embankment at the same height it is 
 still greater. As in practice neither equivalent level heights nor 
 those of the tables of level cuttings are carried out to hundredths, 
 one cause of the greater accuracy of the previous method by Rules 
 1 and 2 is evident. It may be replied that errors as important arc 
 involved in the field work, the cross section stakes being set only 
 approximately ; but that an element of error should voluntarily be 
 introduced into the calculations because another such already 
 exists in the data, is a position that will not be contended for 
 seriously. 
 
 Example 3. In a cutting with road-bed width 1G feet, and oppo 
 site side slopes J and f to 1, the given areas of two consecutive cross 
 sections with similar transverse surface lines and at a distance apart, 
 of 100 feet, arc 100 and 1000 square feet respectively : required 
 the prismoidal contents. Here the area of the grade triangle (table 2) 
 
OJ 
 
 is 102, and consequently the whole areas to intersection are 202 and 
 1102. 
 
 To find the correction numbers N and JV. 
 
 202 table3 14.2 = JV 
 
 1102 table 3 33.2 = N 
 
 To find the contents in cubic yards. 
 100+1000 
 
 = 550 table 4. 
 
 2 
 14.2-33.2 = 19.0 table 5. . ..-223 
 
 Contents for 100 feet 1814 cyds. 
 
 Test by Formula 9. 
 
 -Y/202xll02 = 472 = mean area to intersection. 
 
 = 490 table 4 .......................... 1815 cyds. 
 
 Example. 4. Given 100 and 1000 square feet respectively as the 
 areas of two similar cross sections 100 feet apart, irrespective of 
 shape or number of sides in perimeter : required the prismoidal con 
 tents. 
 
 To find the correction numbers n and n. 
 100 table 3 ...................... 10.0 = n 
 
 1000 table 3 ..................... 31.6 = n 
 
 To find the contents in cubic yards. 
 
 A 
 
 10.0 31. G = 21.6 table 5 . . . 288 
 
 Contents for 100 feet 1749 cyds. 
 
 Test by Formula 10. 
 = 316 = mean area. 
 
 /1 00+1000+316X100 - / 100 \ 
 
 I r= 4: i fi \ . - I 
 
 V 3 /27 \2lJ 
 
 = 472 table 4 , 1748 cyds. 
 
 Example 5. At two stations 100 feet apart with base b = 14 feet, 
 and side slopes s = 1|- to 1, given the notes of the cross section at 
 the first station, centre height C = 10.2, side heights h t and Ji s = 
 
36 
 
 6.8 and 15.2, and side distances d and d = 17.2 and 29.8 ; and at 
 second station, centre height 38.6, side heights 28.6 and 53.0, and 
 side distances 49.9 and 86.5. 
 
 Calculation of areas A and A , and correction numbers N and N . 
 
 s-\-s 
 For the grade triangle corresponding to Z = 14 and - - = 1, 
 
 tQ 
 
 the height table 1 = 4.67, and the area table 2 = 33 = a. 
 
 By Formula (1) and Rule 1. 
 Area (A+) = <iMiM<lM?M) = 3 49 table 3 = 18.7 = 
 
 </ 
 
 correction number N; and 349 33 = 316 A. 
 Area(A + ) = (38.6+4.67)(49.9+86.5) 
 
 = correction number N ; and 2951 33 = 2918 = A . 
 
 Calculation of Contents. Formula (18), Rule 1. 
 316+2918 
 
 1S.7~54.3 = 35.6 table 5 -782 " 
 
 Contents for 100 feet 5207 cyds. 
 
 Test by Formula 13. 
 
 From the preceding data the notes of the middle area would give 
 centre height 24.4, and side distances 33.55 and 58.15 ; and by For 
 mula (1) 
 
 (24.4 + 4.67) (33.55+ 58. 15) v 
 
 OL> ^^ LOOO O J ^^ 1OUU ^^ iVL. 
 
 2 
 
 i 17 i /1 . n 3l 7+29lS-hl300x4 100 
 by Formula (13) - - 2J _ x _ = 
 
 To find the equivalent level heights. (Rule 7.) 
 316 table 4. . . .1170 table 10. . . .10.6 equiv. lev. lit 
 2918 table 4. . .. 10,807 table 10 .. .39.7 " 
 
 Test by Trautwine s method, with level heights. 
 
 10.6 table 10 1174 
 
 39.7 table 10 10,815 
 
 (25.15 table 10. ...... .4818.5)x4 19,274 
 
 6 [31, 263 
 Contents for 100 feet 5^210.5 cyds. 
 
37 
 
 By Formula (21) , Rule (4), with level heights. 
 
 10 - G + 39 - 7 - 25.15 table 10. . . .4818.5 
 
 /& 
 
 10.G~ 39.7 = 29.1 table 15 ............. +392.0 
 
 Contents for 100 feet ........... 5,210.5 cyds. 
 
 By Formula (20), with eml areas and level heights. 
 316+2918 
 
 10.6~39.7 = 29.1 table 17 ............... 784 
 
 Contents for 100 feet .............. 5205 cyds. 
 
 Approximation ly Formula (20), with centre, heights of profile sub 
 stituted for level heights. 
 
 = 1617 table 4 ................. 5989 
 
 /i 
 
 10.238.6 = 28.4 table 17.. . .747 
 
 Approximate contents for 100 feet.. 5, 242 cyds. 
 
 This approximation is for an extreme case, as in practice the 
 difference between two consecutive centre heights is rarely as much 
 as one-half of the difference above taken. In ordinary cases this 
 approximation gives results very nearly correct. 
 
 It will be observed that by Trautwine s method, as given above, 
 three quantities are taken from the tables, and that it involves an 
 addition of three quantities, a multiplication, and a division ; whilst 
 by Rule 4, which with the same data gives the same result, the sum 
 of two quantities taken from the tables is the required contents. 
 
 Example 6. Correction of Contents for Curvature. If the 
 second cross section of Example 5 is at the middle one of three 
 stations 100 feet apart, and all of them on a G curve which is con 
 cave toward the higher ground, the correction for curvature to be 
 deducted at the station under consideration is obtained as follows by 
 Rule 5 : 
 
 From the above C = G, and from the notes of Example 5, 
 A+0 = 2951, and d~d = 3G.6. But 3G.6 table 18 = 0.007885 ; 
 and Q = 2951 x 6 x 0.007885 = 139.6 cyds. 
 
 Test l)y IlencUs Formula. 
 
 C = \l,-c(d-d )+il)(h-h )} X$(d+d r ) sin D, in which d and d 
 are side distances, h and h side heights, c the centre height, and D 
 
38 
 
 die deflection angle ; hence from the above and the notes of 
 Example 5, 
 
 = 3768.5 cu. feet 
 
 = 139. G cyds. In practice d~d is required to the nearest foot only, 
 
 REMARKS OX ESTIMATING CONTENTS. 
 
 PROFILE EARTHWORK. 
 
 In addition to the cross sections at the regular stations, others 
 are necessary where changes begin in the character of the transverse 
 surface slope, as well as at all points where the surface line of the 
 profile changes its direction ; and all of the formulae and rules here 
 tofore given for finding the contents suppose the solid to be between 
 two consecutive cross sections taken at such points. 
 
 In passing from cutting into embankment, cross sections should 
 always be taken at the two points on opposite sides of the road-bed 
 where the cutting "runs out." This will obviate the necessity for 
 staking out the P.P." except with a zero point on the centre line, 
 as, in addition to accurate data for calculation of the pyramids of 
 cut and bank which lie between the two cross sections thus taken, 
 two more zero points, one on each side of the road-bed, will be 
 given. For like reasons, in passing from thorough into side hill 
 cutting, the point on the lower side where the excavation runs out 
 should be cross-sectioned. 
 
 Where the original quantities of excavation and embankment 
 have been calculated, and the work is being done according to the 
 slope-stakes and field-notes, probably the simplest method of obtain 
 ing the quantities moved in an unfinished cutting or embankment 
 is to take the average heights above or below the road-bed at each 
 of the several stations of that portion which has been worked upon, 
 and then, with Formula (21), Rule 4, and tables, to calculate by 
 these heights the quantities remaining to be done. The latter sub 
 tracted from the original quantities between the same stations will, 
 of course, give the desired amount. 
 
 When the material lies in strata, a similar means may be used 
 for determining the respective quantities of the different kinds of 
 
39 
 
 excavation. For example, a cutting may be composed of earth at 
 top, loose rock below the earth, and solid rock at bottom : the 
 amounts then calculated by the loose rock heights, and deducted 
 from the original quantities giving the earth, and the solid rock- 
 similarly calculated and deducted from the amounts obtained by the 
 loose rock heights giving the loose rock. When the necessary ave 
 rage heights have been obtained, the quantities corresponding may 
 be found very rapidly by Rule 4 and the proper tables. 
 
 For approximate estimates, when the centre heights and trans 
 verse surface slopes only are given, the shortest method is to find the 
 equivalent level heights by Trautwine s diagrams, and then take out 
 the contents by Rule 4. 
 
 When the work is carried on irregularly, no general rules for 
 ascertaining the true contents can be given. When the cross sections 
 are very irregular and dissimilar, the best practical rule is to take 
 them at very short intervals. This in all cases reduces the error in 
 the calculation of contents to a minimum. 
 
 A very careful and thorough investigation of the mathematical 
 methods of calculating irregular earthwork is given in the article on 
 " Earthwork " in Henck s " Field-Book, " and to that the theoretical 
 reader is referred. 
 
 BOREOW PITS. 
 
 For obtaining the contents of extensive borrow pits, the follow 
 ing will be found to be about as simple a method as is consistent 
 with correctness. Before the excavation is commenced, lay off the 
 surface in squares, rectangles, or triangles, small enough to be con 
 sidered as plane surfaces, and take elevations with the Level at all of 
 the corners. These elevations must be referred to a base which will 
 be below the bottom of the borrow pit when the work is finished. 
 
 A plan of the ground as laid off should then be made, and the 
 elevations above the base recorded on it at the corners. When r,n 
 estimate of the quantities excavated is to be made during the pro 
 gress of the work, the horizontal limits of the pit as then excavated 
 should be taken, and inside of these limits the whole of the ground 
 again divided into rectangles and triangles without reference to UK 
 former surface divisions, the elevations above the base plane again 
 being taken at all corners, including those on the surface at the 
 edges of the pit. 
 
 The original quantity inside of the pit limits and down to the 
 base plane, taken as a series of truncated prisms, should then be 
 calculated, and next the quantity remaining inside of the pit limits 
 
40 
 
 and above the base plane. The difference between those amounts 
 gives the quantity excavated. 
 
 The advantage of using an independent method of dividing up 
 the ground after the original surface has been removed is that it 
 rarely happens that the best arrangement of these subdivisions for 
 reducing to plane surfaces will agree accurately, either in size or 
 position, with those originally taken on the ground surface. If, 
 however, the same divisions can be taken in the bottom of the pit as 
 originally on the surface, the differences of the elevations at each 
 corner taken before and after the excavation is made will give the 
 heights of the prisms, of which the contents may be obtained by a 
 single calculation. 
 
 In order to prevent the necessity for recalculating the finished 
 portions at each estimate, when any portion of the pit will not again 
 be disturbed, its limits should be referenced on the ground and indi 
 cated on the plan, and its contents recorded separately, 
 
 RULES FOR VARIOUS USES OF TABLES. 
 
 To find the height of an equivalent level section. 
 * Given : areas, side slopes, and base. 
 
 RULE 7. 
 
 Enter table 4 with the given area, and take out the corresponding 
 quantity : find the quantity nearest to this in the body of table of 
 level cuttings with the given side slopes and base, and the index 
 number corresponding is the equivalent level height to the nearest 
 tenth. 
 
 * When centre heights and transverse surface slopes only are given, if r = 
 ratio to 1 of surface slope = cotangent of surface angle, and = 8, then the 
 
 equivalent level height = h= ( e-f- | r _ L 
 
 \ 2*7 V 1 -** to 
 
41 
 
 Example. Given a = 800 ; -^- = H ; b = 14 
 
 800 table 4. . . .2963 table 15. .. .18.9 equiv. lev. lit. 
 To find the area corresponding to a level height, reverse the pro 
 cess of Rule 7. 
 
 To find the middle area of Rule 1. 
 
 Given : N", N , and a. 
 
 RULE 8. 
 
 Enter table 3 with - , and take out the quantity correspond 
 ing ; from this deduct a, and the remainder is the middle area. 
 From example 5, page 36, 1ST = 18.7 ; K" = 54.3 ; and a 33. 
 18.7-J-54.3 _ qft - f Ki rt Q IQQO 
 
 1332 - 33 = 1299 = M 
 
 To find the middle area of Rule 2. 
 
 Given : n and n . 
 
 RULE 9. 
 
 Enter table 3 with ~- , and the quantity corresponding is the 
 
 middle area. 
 
 Example. With similar end areas 4x25 = 100, and 8x50 = 
 400, the middle area is 6x37.5 225. Here n = 10 and n 20, 
 
 , n-\-n 104-20 , ,, ___ ,, 
 
 and ^ = ~ = lo table 3 = 22o M. 
 
 To find the middle area of Rule 4. 
 
 94 ^ 
 
 Given : h and h ; --- ; and b. 
 
 RULE 10. 
 Enter the table of level cuttings for the given side slopes and 
 
 base with ~|~ , and take out the corresponding quantity : find the 
 
 quantity nearest to this in the body of table 4, and the index num 
 ber corresponding is the middle area. 
 
 Example. From example 5, page 36, h = 10.6 and h 39.7. 
 
 1Q>6 t 39>7 = 25. 15 table 15 .... 4818 table 4 .... 1301. 
 A 
 
42 
 
 To extend the Correction Tables, general or special. 
 RULE 11. 
 
 When the difference of the correction numbers, or of the level 
 heights, is too large to enter the table with, take one-half of it, and 
 with this enter and take out the corresponding quantity, which mul 
 tiplied by 4 gives the correction required far a length of 100 
 feet. 
 
 Examples. In table 5 the correction corresponding to 32 is 632.1, 
 which multiplied by 4 gives 2528.4, the correction corresponding 
 to 64. 
 
 In table 17, the correction corresponding to 12.2 is 68.9, which 
 multiplied by 4 gives 275.6, the correction corresponding to 24.4. 
 
 To find the special corrections for any given side slopes from the 
 general correction table. 
 
 RULE 12. 
 
 Enter table 5 with h~h r , and take out the corresponding quan 
 tity ; for the special plus corrections multiply this by the quarter- 
 sum of the ratios of the side slopes I ~~ 1 ; for the special minus 
 
 ( s i y\ 
 -t-l The corrections so 
 
 obtained are for = lengths of 100 feet. 
 
 Examples. From table 5 the general minus correction corre- 
 
 s-\~s 
 spending to 39.4 is 958.2, and the plus correction for ~~- 1J is 
 
 958.2 x f = 718.7 corresponding to 39.4 table 17. The minus cor- 
 
 g i g ; 
 rection for - - = |- is 958.2 x J- = 479.1 corresponding to 39.4 
 
 2 
 
 table 14. In like manner with ~ = | the plus correction for 39.4 
 
 A 
 
 <? I -g 
 
 = 958.2 x 0.1 = 95.8, table 8 ; and with - - = 1, the minus cor- 
 
 fy 
 
 rections, general and special, are the same, as are N~N and h^h . 
 (See table 5, and examples 1 and 2, pages 31 and 33.) 
 
43 
 
 EXPLANATIONS OF TABLES. 
 
 Table 1 is for obtaining the height of the grade triangle. To 
 use it, find the half-sum of the ratios of the given side slopes at the 
 top. and the number vertically below, and on the same line with the 
 given road-bed width in the left column, is the height required. 
 
 g I Q f 
 
 Thus with 1} = 16 and ~~~ = f the height corresponding is 12.8. 
 
 Table 2 contains the area of the same triangle. It is used with 
 the same data and entered in the same way. Thus with I = 18 and 
 
 9-Jo 
 
 - := -|- the area corresponding = a = 162. 
 
 / 
 
 Table 3 gives square roots to tenths, or correction numbers of 
 areas. To use it, find in the body of the table the number nearest 
 to that which expresses the area under consideration, and the figures 
 on the same horizontal line in the left column arc the whole num 
 bers, and that immediately above it, at the top of the table, the 
 tenths of the correction number required. Thus if the area to 
 intersection of side slopes is 2,000, the correction number N is 4-4.7 : 
 if one of similar end areas is 230, the correction number n is 15.2. 
 
 Table 4 is for finding the contents for 100 feet corresponding to 
 a given area. The left column contains the tens, and the top the 
 units, of the area. In the body of the table are the corresponding 
 contents in cubic yards for lengths of 100 feet. In the short table 
 of two lines prefixed, the contents -corresponding to the tenths of the 
 area are given, and these when required are to be added to the con 
 tents taken from the main table. Thus the contents corresponding 
 to the area 1872.7 are 6933.3+2.6 = 6935.9 cubic yards. 
 
 Table 5 is for obtaining the corrections for computations by ave 
 rage areas. The arithmetical difference between the correction 
 numbers is to be found in whole numbers and tenths respectively, in 
 the left column and at the top of the table, and the number corre 
 sponding in the body of the table is the correction in cubic yards for 
 a length of 100 feet. Thus if the difference of the correction num 
 bers is 28.3, the correction corresponding is 494.4 cycls. This 
 correction is always to be subtracted. 
 
 The Tables of Level Cuttings for special side slopes and road-bed 
 widths give the cubic yards for lengths of 100 feet corresponding to 
 the different heights, of which the whole numbers are in the left 
 column and the tenths at top. 
 
44 
 
 The special tables of plus corrections give the correction for 
 computation by averaging equivalent level heights. The differences 
 of the end heights in feet and tenths respectively are in the left 
 column and at top, and the corresponding corrections for lengths 
 of 100 feet in the body of the table. Care must be taken to use the 
 correction table with the half sum of the side slopes the same as that 
 of the table of level cuttings of which the contents are to be cor 
 rected. 
 
 The special tables of minus corrections give the corrections for 
 average areas when entered with the heights of equivalent level sec- 
 dons. The side slopes of the table must be the same as those of the 
 end sections, between which the contents are to be corrected. 
 
 When the tables of minus corrections for special slopes are 
 entered with the differences of the centre heights of the profile 
 instead of those of the equivalent level heights, in ordinary ground 
 :i close approximation to the true correction is obtained. 
 
 For the special plus correction tables the half-sum of the side 
 .slopes is indicated at the top. For the special minus corrections 
 the slopes are indicated at the bottom of the same tables. 
 
 Table 18 contains factors for calculation of the corrections for 
 curvature. Its use is explained in Rules 5 and G. 
 
TABLE tfo. 1. 
 
 Roadbed Width in Left Column ; half-sum of ratios of Side Slopes 
 at Top ; Height of Grade Triangle in body of Table. 
 
 i 
 
 b 
 
 i 
 
 t 
 
 1 
 
 i 
 
 5 
 
 8 
 
 1 
 4 
 
 8 
 
 1 
 
 H 
 
 H 
 
 If 
 
 n 
 
 2 
 
 IO 
 
 25 
 
 20 
 
 13.3 
 
 IO 
 
 8.0 
 
 6.7 
 
 5-7 
 
 5 
 
 44 
 
 4.0 
 
 3-6 
 
 3-3 
 
 2-5 
 
 I2j 30 
 
 24 
 
 16.0 
 
 12 
 
 9.6 
 
 8.0 
 
 6.9 
 
 6 
 
 5-3 
 
 4 .8 
 
 4-4 
 
 4-0 
 
 30 
 
 14 
 
 35 
 
 28 
 
 18.7 
 
 14 
 
 II. 2 
 
 9-3 
 
 8.0 
 
 7 
 
 6.2 
 
 56 
 
 5.1 
 
 4-7 
 
 3-5 
 
 16 
 
 40 
 
 32 
 
 21.3 
 
 16 
 
 12.8 
 
 10.7 
 
 9-1 
 
 8 
 
 7-1 
 
 6.4 
 
 5-8 
 
 5,3 
 
 4.0 
 
 18 
 
 45 
 
 36 
 
 24.0 
 
 18 
 
 144 
 
 12.0 
 
 10-3 
 
 9 
 
 8.0 
 
 7-2 
 
 6-5 
 
 6.0 
 
 4-5 
 
 20 
 
 50 
 
 40 
 
 26.7 
 
 20 
 
 16.0 
 
 13-3 
 
 11.4 
 
 IO 
 
 8-9 
 
 8.0 
 
 7-3 
 
 6.7 
 
 5-0 
 
 22 
 
 55 
 
 44 
 
 29-3 
 
 22 
 
 17.6 
 
 14-7 
 
 12.6 
 
 ii 
 
 9.8 
 
 8.8 
 
 8.0 
 
 7-3 
 
 5-5 
 
 24 
 
 60 
 
 48 
 
 32.0 
 
 24 
 
 19.2 
 
 16.0 
 
 13.7 
 
 12 
 
 10.7 
 
 9-6 
 
 87 
 
 8.0 
 
 6.0 
 
 26 
 
 65 
 
 52 
 
 34.7 
 
 26 
 
 20.8 
 
 17-3 
 
 14.9 
 
 13 
 
 EX.6 
 
 10.4 
 
 9-5 
 
 8.7 
 
 6.5 
 
 28 
 
 70 
 
 56 
 
 37-3 
 
 28 
 
 22.4 
 
 18.7 
 
 16.0 
 
 14 
 
 12.4 
 
 II. 2 
 
 10.2 
 
 9-3 
 
 7-o 
 
 30 
 
 75 
 
 60 
 
 40.0 
 
 30 
 
 24.0 
 
 20.0 
 
 17.1 
 
 15 
 
 13.3 
 
 12.0 
 
 10.9 
 
 1O.O 
 
 7-5 
 
 
 4 
 
 i 
 
 t 
 
 i 
 
 5 
 
 "8 
 
 i 
 
 I 
 
 1 
 
 H 
 
 U 
 
 if 
 
 H 
 
 2 
 
 TABLE 
 
 2. 
 
 Roadbed Width in Left Column; half-sum of ratios of Side Slopes 
 at Top; Area of Grade Triangle in body of Table. 
 
 CJ 
 
 J 
 
 T 
 
 4 
 
 t 
 
 i 
 
 I 
 
 1 
 
 i 
 
 1 
 
 4 
 
 H 
 
 Jl 
 
 H 
 
 2 
 
 10 
 
 125 
 
 100 
 
 66.7 
 
 50 
 
 4O.O 
 
 33-3 
 
 28.6 
 
 25 
 
 22.2 
 
 20.0 
 
 18.2 
 
 16.7 
 
 12.5 
 
 12 
 
 180 
 
 144 
 
 96.0 
 
 72 
 
 57-6 
 
 48.0 
 
 41.1 
 
 .36 
 
 32.0 
 
 28.8 
 
 26.2 
 
 24.0 
 
 18.0 
 
 M 
 
 245 
 
 196 
 
 130.7 
 
 98 
 
 78.4 
 
 65.3 
 
 56.0 
 
 49 
 
 43,5 
 
 .38.2 
 
 35-6 
 
 32.7 
 
 24-5 
 
 ib 
 
 320 
 
 2561170.7 
 
 128 
 
 102.4 
 
 85-3 
 
 73-i 
 
 64 
 
 56.9 
 
 51-2 
 
 46.6 
 
 42.7 
 
 32.0 
 
 [8 
 
 4 5 
 
 3241216.0 
 
 162 
 
 129.6 
 
 108.0 
 
 92.6 
 
 81 
 
 72.0 
 
 64.8 
 
 58.9 
 
 54-0 
 
 40.5 
 
 20 
 
 500 
 
 400 
 
 266.7 
 
 200 
 
 1 60.0 
 
 133.3 
 
 "4-3 
 
 IOO 
 
 88.9 
 
 80.0 
 
 72.7 
 
 66.7 
 
 50.0 
 
 22 605 
 
 484 
 
 322.7 
 
 242 
 
 193.6 
 
 161.3 
 
 138.3 
 
 121 
 
 107.5 
 
 96.8 
 
 88.0 
 
 80.7 
 
 60.5 
 
 24] 720 
 
 576 384.0 
 
 288 
 
 230.4 
 
 192.0 
 
 164.6 
 
 144 
 
 128.0 
 
 II5-2 
 
 104.7 
 
 96.0 
 
 72.0 
 
 26 
 
 845 
 
 676 
 
 450.7 
 
 338 
 
 270.4 
 
 225.3 
 
 I93.I 
 
 
 150.2 
 
 135-2 
 
 122.9 
 
 112.7 
 
 84,5 
 
 28 
 
 980 
 
 784 
 
 522.7 
 
 392 
 
 313-6 
 
 261.3 
 
 224.0 
 
 196 
 
 174.2 
 
 156.8 
 
 142.6 
 
 130.7 
 
 98.0 
 
 30 
 
 1125 
 
 900 
 
 600.0 
 
 450 
 
 360.0 
 
 300.0 
 
 257.1 
 
 225 
 
 200.0 
 
 iSo.o 
 
 163.6 
 
 150.0 
 
 112.5 
 
 
 i 
 
 i 
 
 * 
 
 * 
 
 I 
 
 1 
 
 * 
 
 1 
 
 H 
 
 H 
 
 If 
 
 H 
 
 * 
 
46 
 
 TABLE tfo. 3. 
 
 Areas in body of Table; Correction Nos., in feet and tenths, in left 
 column and at top. 
 
 u 
 
 
 i 
 
 
 
 Diff.to 
 
 ! 
 
 .1 .2 
 
 -3 
 
 4 -5 
 
 .6 
 
 -7 
 
 .8 
 
 -9 
 
 0.05 
 
 o j o.o o.o o.i 
 
 0.2 
 
 0-3 
 
 0.4 
 
 * 0.5 
 
 0.6 
 
 0.8 
 
 0.05 
 
 1 I 1.2 
 
 i-4 
 
 i-7 
 
 2. 
 
 2-3 
 
 2.6 
 
 2.9 
 
 3-2 
 
 3-6 
 
 0.2 
 
 2 
 
 4 4-4 
 
 4.8 
 
 5-3 
 
 5.8 
 
 6-3 
 
 6.8 
 
 7-3 
 
 7.8 
 
 8.4 
 
 o-3 
 
 3 
 
 9 
 
 9 .6 
 
 IO.2 
 
 10.9 
 
 n.6 
 
 12.3 
 
 13- 
 
 13-7 
 
 14.4 
 
 15.2 
 
 0.4 
 
 4 
 
 16 
 
 16.8 
 
 17-6 
 
 18.5 
 
 19.4 
 
 20.3 
 
 21.2 
 
 22.1 
 
 23. 24. 
 
 o-5 
 
 5 
 
 25 
 
 26. 
 
 27- 
 
 28.1 
 
 29.2 
 
 30-3 
 
 31-4 
 
 32-5 
 
 33-6 
 
 34-8 
 
 0.6 
 
 6 
 
 36 
 
 37-2 
 
 38.4 
 
 39-7 
 
 41. 
 
 42-3 
 
 43-6 
 
 44-9 
 
 46.2 
 
 47-6 
 
 0.7 
 
 7 
 
 49 
 
 50.4 
 
 51-8 
 
 53-3 
 
 54-8 
 
 56.3 
 
 57-8 
 
 59-3 
 
 60.8 
 
 62.4 
 
 0.8 
 
 8 
 
 64 
 
 65.6 
 
 67.2 
 
 68.9 
 
 70.6 
 
 72.3 
 
 74- 
 
 75-7 
 
 77-4 
 
 79.2 
 
 0.9 
 
 9 
 
 Si 
 
 82.8 
 
 84.6 
 
 86.5 
 
 88.4 
 
 90-3 
 
 92.2 
 
 94.1 
 
 96. 
 
 98. 
 
 
 io 
 
 IOO 
 
 IO2. 
 
 104. 
 
 1 06. i 
 
 108.2 
 
 110.3 
 
 112.4 
 
 II4-5 
 
 116.6 
 
 118.8 
 
 .1 
 
 U 
 
 121 
 
 123.2 
 
 125-4 
 
 127.7 
 
 130. 
 
 132.3 134.6 | 136.9 
 
 139.2 
 
 141.6 
 
 o 
 
 12 
 
 144 
 
 146.4 
 
 148.8 
 
 I5I.3 
 
 153-8 
 
 156-3 
 
 158.8 
 
 161.3 
 
 163.8 
 
 166.4 
 
 3 
 
 X 3 
 
 169 
 
 I7I.6 
 
 174.2 
 
 176.9 
 
 179.6 
 
 182.3 185- 
 
 187.7 
 
 190.4 
 
 193.2 
 
 4 
 
 *4 
 
 I 9 6 
 
 198.8 
 
 2OI.6 
 
 204.5 
 
 207.4 
 
 210.3 
 
 213.2 
 
 216. i 
 
 219. 
 
 222. 
 
 5 
 
 15 
 
 225 
 
 228. 
 
 231. 
 
 234.1 
 
 237-2 
 
 240.3 
 
 243.4! 246.5 
 
 249.6 
 
 252.8 
 
 .6 
 
 16 
 
 256 
 
 259.2 
 
 262.4 
 
 265.7 
 
 269. 
 
 272.3 
 
 275.6 
 
 278.9 
 
 282.2 
 
 285.6 
 
 7 
 
 J 7 
 
 289 
 
 292.4 
 
 295.8 
 
 299-3 
 
 302.8 306.3 
 
 309.8 
 
 3I3-3 
 
 316.8 
 
 320.4 
 
 .8 
 
 18 
 
 324 
 
 327.6 331.2 
 
 334-9 
 
 338.6 342.3 
 
 346. 349-7 
 
 353-4 
 
 357-2 
 
 9 
 
 *9 
 
 361 
 
 364.3 
 
 368.6 
 
 372-5 
 
 376.4 380.3 
 
 384.2 388.1 
 
 392. 
 
 396. 
 
 2. 
 
 20 
 
 400 
 
 404. 
 
 408. 
 
 412.1 
 
 416.2 420.3 
 
 424.4 428.5 
 
 432.6 
 
 436.8 
 
 2.1 
 
 21 
 
 441 
 
 445-2 
 
 449-4 
 
 453-7 
 
 458. 
 
 462.3 
 
 466.6 | 4.70.9 
 
 475-2 
 
 479-6 
 
 2.2 
 
 22 
 
 484 
 
 488.4 
 
 492.8 
 
 497-3 
 
 501.8 
 
 506.3 
 
 510.8 i 515.3 
 
 519-8 
 
 5244 
 
 2-3 
 
 2 3 
 
 529 
 
 533-6 
 
 538-2 
 
 542-9 
 
 547-6 
 
 552-3 
 
 557- 561-7 
 
 566.4 
 
 57L2 
 
 2-4 
 
 2 4 
 
 576 
 
 580.8 
 
 585-6 
 
 59-5 
 
 595-4 
 
 600.3 
 
 605.2 i 610.1 
 
 615. 
 
 620. 
 
 2-5 
 
 25i 625 
 
 630. 
 
 635. 
 
 640.1 
 
 645.2 
 
 650.3 
 
 655-4 
 
 660.5 
 
 665.6 
 
 670.8 
 
 2.6 
 
 26 
 
 676 
 
 681.2 
 
 686.4 
 
 691.7 
 
 697. 
 
 702.3 
 
 707.6 
 
 712.9 
 
 718.2 
 
 723-6 
 
 2.7 
 
 27 
 
 729 
 
 734-4 
 
 739-8 
 
 745-3 
 
 750.8 
 
 756.3 
 
 761.8 
 
 767-3 
 
 772.8 
 
 778.4 
 
 2.8 
 
 28 
 
 78 4 
 
 789.6 
 
 795-2 
 
 800.9 
 
 806.6 
 
 812.3 
 
 818. 
 
 823.7 
 
 829.4 
 
 835.2 
 
 2-9 
 
 29 
 
 8 4 I 
 
 846.8 
 
 852.6 
 
 858-5 
 
 864-4 
 
 870.3 
 
 876.2 
 
 882.1 
 
 888. 
 
 894. 
 
 3.0 
 
 30 
 
 900 
 
 906. 
 
 912. 
 
 918.1 
 
 924-2 
 
 930.3 
 
 936.4 
 
 942-5 
 
 948.6 
 
 954-8 
 
 3-i 
 
 3i 
 
 9 6l 
 
 967.2 
 
 973-4 
 
 979-7 
 
 986 
 
 992-3 
 
 998.6 
 
 1005 jion 
 
 1018 
 
 3-2 
 
 32 
 
 1024 
 
 1030 
 
 1037 11043 
 
 1050 
 
 1056 
 
 1063 
 
 1069 
 
 1076 
 
 1082 
 
 3.3 
 
 33 
 
 1089 
 
 1096 
 
 1102 jnog 
 
 1116 
 
 1122 
 
 1129 
 
 1136 
 
 1142 1149 
 
 3-5 
 
 34 
 
 1156 
 
 1163 
 
 1170 1176 
 
 1183 
 
 1190 
 
 1197 
 
 1204 
 
 I2II 1218 
 
 3-6 
 
 35 
 
 1225 
 
 1232 
 
 1239 1246 
 
 1253 
 
 I26O 
 
 1267 
 
 1274 
 
 1282 
 
 1289 
 
 3-6 
 
 361296 
 
 1303 
 
 1310 1318 
 
 1325 
 
 1332 
 
 1340 
 
 1347 
 
 1354 
 
 1362 
 
 3-7 
 
 37 1369 
 
 1376 
 
 1384 |i39i 
 
 1399 
 
 1406 
 
 1414 
 
 1421 
 
 1429 
 
 1436 
 
 3-8 
 
 38 
 
 1444 1452 
 
 1459 
 
 1467 
 
 1475 
 
 1482 
 
 1490 
 
 1498 
 
 1505 
 
 1513 
 
 3-9 
 
 39 
 
 1521 
 
 1529 
 
 1537 
 
 1544 
 
 1552 
 
 1560 
 
 1568 
 
 1576 
 
 1584 
 
 I59 2 
 
 4.0 
 
 40 1600 
 
 r 6o8 
 
 1616 
 
 1624 
 
 1632 
 
 1640 
 
 1648 
 
 1656 
 
 1665 
 
 i673 
 
 4.1 
 
 : 4l|l68l 
 
 1689 
 
 1697 
 
 1706 
 
 1714 
 
 1722 
 
 i73i 
 
 1739 
 
 1747 
 
 1756 
 
 4-2 
 
 431764 
 
 1772 
 
 1781 
 
 1789 
 
 1798 
 
 1806 
 
 1815 
 
 1823 
 
 1832 
 
 1840 
 
 4.2 
 
 4311849 
 
 1858 
 
 1866 . 
 
 i875 
 
 1884 
 
 1892 
 
 1 901 
 
 1910 
 
 I9l8 
 
 1927 
 
 4-3 
 
 44 1936 
 
 1945 
 
 1954 
 
 1962 
 
 1971 
 
 1980 
 
 1989 
 
 1998 
 
 2007 
 
 2016 
 
 4.4 
 
 452025 2034 
 
 2043 
 
 2052 
 
 2061 
 
 2O7O 
 
 2079 
 
 2088 
 
 2098 
 
 2107 
 
 4-5 
 
 462116 2125 
 
 2134 
 
 2144 
 
 2153 
 
 2162 
 
 2172 
 
 2181 
 
 2190 
 
 2 2OO 
 
 4-7 
 
 47^2209 2218 
 
 2228 
 
 2237 
 
 2247 
 
 2256 
 
 2266 
 
 2275 
 
 2285 
 
 2294 
 
 4.8 
 
 482304 2314 
 
 2323 
 
 2333 
 
 2343 
 
 2352 
 
 2362 
 
 2372 
 
 238l 
 
 2391 
 
 4.8 
 
 49 2401 
 
 2411 2421 
 
 2430 
 
 2440 
 
 2450 
 
 2460 
 
 2470 
 
 2480 
 
 2490 
 
 5-0 
 
 502500 
 
 2510 2520 
 
 2530 
 
 2540 
 
 2550 
 
 2560 
 
 2570 
 
 2581 
 
 259 1 
 
 5-o 
 
 
 
 , , 
 
 -3 -4 
 
 .5 
 
 .6 
 
 7 
 
 .8 
 
 -9 
 
 
47 
 
 TABLE No. 3 CONCLUDED. 
 
 Areas in body of Table; Correction JVbs., in fed and tenths, in left 
 
 column and at top. 
 
 i 
 
 
 
 
 
 
 
 
 
 
 
 D iff. for 
 
 1 
 
 o 
 
 .1 
 
 .2 
 
 .3 
 
 4 
 
 5 
 
 .0 
 
 7 
 
 .8 
 
 9 
 
 0.05 
 
 51 
 
 2601 
 
 2611 
 
 2621 
 
 2632 
 
 2642 
 
 2652 
 
 2663 
 
 2673 
 
 2683 
 
 2694 
 
 5-2 
 
 52 
 
 2704 
 
 2714 
 
 2725 
 
 2735 
 
 2746 
 
 2756 
 
 2767 
 
 2777 
 
 2788 
 
 2798 
 
 ^.2 
 
 53 
 
 2809 
 
 2820 
 
 2830 
 
 2S 4 r 
 
 2852 
 
 2862 
 
 2873 
 
 2884 
 
 2894 
 
 2905 
 
 5-3 
 
 54 
 
 2916 
 
 2927 
 
 2938 
 
 2948 
 
 2959 
 
 2970 
 
 2981 
 
 2992 
 
 3003 
 
 3014 
 
 5-4 
 
 55 
 
 3025 
 
 3036 
 
 3047 
 
 3058 
 
 3069 
 
 3080 
 
 3091 
 
 3102 
 
 3H4 
 
 3125 
 
 5-5 
 
 56 
 
 3136 
 
 3147 
 
 3158 
 
 3170 
 
 3181 
 
 3192 
 
 3204 
 
 3215 
 
 3226 
 
 3238 
 
 5-7 
 
 57 
 
 3249 
 
 3260 
 
 3272 
 
 3283 
 
 3295 
 
 3306 
 
 33i8 
 
 3329 
 
 3341 
 
 3352 
 
 5-7 
 
 58 
 
 3364 
 
 3376 
 
 3387 
 
 3399 
 
 34ii 
 
 3422 
 
 3434 
 
 3446 
 
 3457 
 
 3469 
 
 5-8 
 
 59 
 
 343i 
 
 3493 
 
 3505 
 
 35 r 6 
 
 3528 
 
 3540 
 
 3552 
 
 3564 
 
 3576 
 
 3583 
 
 5-9 
 
 60 
 
 3600 
 
 3612 
 
 3624 
 
 3636 
 
 3648 
 
 3660 
 
 3672 
 
 3684 
 
 3697 
 
 3709 
 
 6.0 
 
 61 
 
 3721 
 
 3733 
 
 3745 
 
 3753 
 
 3770 
 
 3782 
 
 3795 
 
 3807 
 
 3819 
 
 3832 
 
 6.2 
 
 62 
 
 3S44 
 
 3856 
 
 3869 
 
 3881 
 
 3894 
 
 3906 
 
 39 J 9 
 
 3931 
 
 3944 
 
 3956 
 
 6.2 
 
 63 
 
 39 6 9 
 
 3982 
 
 3994 
 
 4007 
 
 4020 
 
 4032 
 
 4045 
 
 4058 
 
 4070 
 
 4083 
 
 6-3 
 
 64 
 
 4096 
 
 4109 
 
 4122 
 
 4134 
 
 4147 
 
 4160 
 
 4173 
 
 4186 
 
 4199 
 
 4212 
 
 6.4 
 
 65 
 
 4225 
 
 4238 
 
 4251 
 
 4264 
 
 4277 
 
 4290 
 
 4303 
 
 4316 
 
 4330 
 
 4343 
 
 6-5 
 
 66 
 
 4356 
 
 4369 
 
 4382 
 
 439^ 
 
 4409 
 
 4422 
 
 4436 
 
 4449 
 
 4462 
 
 4476 
 
 6-7 
 
 67 
 
 4489 
 
 4502 
 
 45i6 
 
 4529 
 
 4543 
 
 4556 
 
 4570 
 
 4583 
 
 4597 
 
 4610 
 
 6.7 
 
 68 
 
 4624 
 
 4638 
 
 4651 
 
 4665 
 
 4679 
 
 4692 
 
 4706 
 
 4720 
 
 4733 
 
 4747 
 
 6.8 
 
 69 
 
 4761 
 
 4775 
 
 4789 
 
 4802 
 
 4816 
 
 4830 
 
 4844 
 
 4858" 
 
 4872 
 
 4886 
 
 6.9 
 
 70 
 
 4900 
 
 4914 
 
 4928 
 
 4942 
 
 4956 
 
 49/0 
 
 4984 
 
 4998 
 
 5013 
 
 5027 
 
 7.0 
 
 7 1 
 
 5041 
 
 5055 
 
 5069 
 
 5084 
 
 5098 
 
 5112 
 
 5127 
 
 5i4i 
 
 5155 
 
 5170 
 
 7.2 
 
 72 
 
 5*84 
 
 5198 
 
 5213 
 
 5227 
 
 5242 
 
 5256 
 
 5271 
 
 5285 
 
 53oo 
 
 5314 
 
 7.2 
 
 73 
 
 5329 
 
 5344 
 
 5358 
 
 5373 
 
 5388 
 
 5402 
 
 5417 
 
 5432 
 
 5446 
 
 546i 
 
 7-3 
 
 74 
 
 5476 
 
 5491 
 
 5506 
 
 5520 
 
 5535 
 
 5550 
 
 5565 
 
 558o 
 
 5595 
 
 5610 
 
 7-4 
 
 75 
 
 5625 
 
 5640 
 
 5655 
 
 5670 
 
 5685 
 
 5/00 
 
 5715 
 
 5730 
 
 5746 
 
 576i 
 
 7-5 
 
 76 
 
 5776 
 
 579 1 
 
 5806 
 
 5822 
 
 5837 
 
 5852 
 
 5868 
 
 5883 
 
 5898 
 
 59*4 
 
 7-7 
 
 77 
 
 59 2 9 
 
 5944 
 
 5960 
 
 5975 
 
 5991 
 
 6006 
 
 6022 
 
 6037 
 
 6053 
 
 6068 
 
 7-7 
 
 78 
 
 6084 
 
 6100 
 
 6115 
 
 6131 
 
 6147 
 
 6162 
 
 6178 
 
 6194 
 
 6209 
 
 6225 
 
 7-8 
 
 79 
 
 6241 
 
 6257 
 
 6273 
 
 6288 
 
 6304 
 
 6320 
 
 6336 
 
 6352 
 
 6368 
 
 6384 
 
 7-9 
 
 80 
 
 6400 
 
 6416 
 
 6432 
 
 6448 
 
 6464 
 
 6480 
 
 6496 
 
 6512 
 
 6529 
 
 6545 
 
 8.0 
 
 81 
 
 6561 
 
 6577 
 
 6593 
 
 6610 
 
 6626 
 
 6642 
 
 6659 
 
 6675 
 
 6691 
 
 6708 
 
 8.2 
 
 82 
 
 6724 
 
 6740 
 
 6/57 
 
 6773 
 
 6790 
 
 6806 
 
 6823 
 
 6839 
 
 6856 
 
 6872 
 
 8.2 
 
 83 
 
 6889 
 
 6906 
 
 6922 
 
 6939 
 
 6956 
 
 6972 
 
 6989 
 
 7006 
 
 7022 
 
 7039 
 
 8-3 
 
 84 
 
 7056 
 
 7073 
 
 7090 
 
 7106 
 
 7123 
 
 7140 
 
 7157 
 
 7174 
 
 7191 
 
 7208 
 
 8.4 
 
 85 
 
 7225 
 
 7242 
 
 7259 
 
 7276 
 
 7293 
 
 73io 
 
 7327 
 
 7344 
 
 7362 
 
 7379 
 
 8-5 
 
 86 
 
 7396 
 
 7413 
 
 7430 
 
 7448 
 
 7465 
 
 7482 
 
 7500 
 
 7517 
 
 7534 
 
 7552 
 
 8.6 
 
 87 
 
 7569 
 
 7586 
 
 7604 
 
 7621 
 
 7639 
 
 7656 
 
 7674 
 
 7691 
 
 7709 
 
 7726 
 
 8-7 
 
 88 
 
 7744 
 
 7762 
 
 7779 
 
 7797 
 
 7815 
 
 7832 
 
 7850 
 
 7868 
 
 7885 
 
 793 
 
 8.8 
 
 89 
 
 7921 
 
 7939 
 
 7957 
 
 7974 
 
 7992 
 
 8010 
 
 8028 
 
 8046 
 
 8064 
 
 8082 
 
 8.9 
 
 go 
 
 Sioo 
 
 8nS 
 
 81,36 
 
 8i54 
 
 8172 
 
 8190 
 
 8208 
 
 8226 
 
 8245 
 
 8263 
 
 9.0 
 
 Qi 
 
 8281 
 
 8299 
 
 8317 
 
 8336 
 
 8354 
 
 83/2 
 
 8391 
 
 8409 
 
 8427 
 
 8446 
 
 9.2 
 
 92 
 
 8464 
 
 8482 
 
 8501 
 
 8519 
 
 8538 
 
 85^6 
 
 8575 
 
 8593 
 
 8612 
 
 8630 
 
 9.2 
 
 03 
 
 8649 
 
 8568 
 
 8686 
 
 8/05 
 
 8724 
 
 8742 
 
 8761 
 
 8780 
 
 8798 
 
 8817 
 
 9-3 
 
 -* J 
 94 
 
 8836 
 
 8855 
 
 8874 
 
 8892 
 
 8911 
 
 8930 
 
 8949 
 
 8968 
 
 8987 
 
 9006 
 
 9-4 
 
 95 
 
 9025 
 
 9044 
 
 9063 
 
 9082 
 
 9101 
 
 9120 
 
 9139 
 
 9158 
 
 9178 
 
 9197 
 
 9-5 
 
 96 
 
 9216 
 
 9 2 35 
 
 9254 
 
 9274 
 
 9293 
 
 9312 
 
 9332 
 
 9351 
 
 93/0 
 
 939 
 
 9.6 
 
 97 
 
 9409 
 
 9428 
 
 9448 
 
 9467 
 
 9487 
 
 9506 
 
 9526 
 
 9545 
 
 9565 
 
 9584 
 
 9-7 
 
 98 
 
 9604 
 
 9624 
 
 9643 
 
 9663 
 
 9683 
 
 9702 
 
 9722 
 
 9742 
 
 9761 
 
 9781 
 
 9.8 
 
 99 
 
 9801 
 
 9821 
 
 9841 
 
 9860 
 
 9880 
 
 9900 
 
 9920 
 
 9940 
 
 9960 
 
 9980 
 
 9-9 
 
 100 
 
 IOOOO 
 
 IOO2O 
 
 10040 
 
 10060 
 
 10080 
 
 IOIOO 
 
 IOI20 
 
 10140 
 
 10161 
 
 10181 
 
 IO.O 
 
 
 
 
 .x 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .5 
 
 7 
 
 .8 
 
 9 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
48 
 TABLE No. 4. 
 
 Areas 
 
 O I 
 
 O 2 
 
 O 2^ 
 
 O 1 
 
 O d. 
 
 O ^ 
 
 06 
 
 O 7 
 
 o ?e; 
 
 08 
 
 o o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Contents. . 
 
 O.d 
 
 O.7 
 
 o.o 
 
 I.I 
 
 I e, 
 
 I.O 
 
 2 2 
 
 a.6 
 
 2.8 
 
 to 
 
 1.1 
 
 Areas : Tens in left Column and Units at top.. Contents for 100 feet 
 in cubic yards in body of Table. 
 
 1 
 
 O.O 
 
 I.O 
 
 2.0 
 
 3-o 
 
 4.0 
 
 5-o 
 
 6.3 
 
 7.0 8.0 
 
 g.o 
 
 o 
 
 0.0 
 
 3-7 
 
 74 
 
 n. i 
 
 I 4 .8 
 
 18.5 
 
 22.2 
 
 25-9 
 
 29.6 
 
 33-3 
 
 I 
 
 37- 
 
 40.7 
 
 44-4 
 
 48.1 
 
 5L9 
 
 55-6 
 
 59-3 
 
 63- 
 
 66.7 
 
 70.4 
 
 2 
 
 74.1 
 
 77-8 
 
 81.5 
 
 85.2 
 
 88.9 
 
 92.6 
 
 96.3 
 
 IOO. 
 
 103.7 
 
 107.4 
 
 3 
 
 in. i 
 
 114.8 
 
 118.5 
 
 122.2 
 
 125.9 
 
 129.6 
 
 133-3 
 
 137. 
 
 140.7 
 
 144.4 
 
 4 
 
 148.1 
 
 "151-9 
 
 155-6 
 
 159-3 
 
 I6 3 . 
 
 166.7 
 
 170.4 
 
 174.1 
 
 177.8 
 
 181.5 
 
 5 
 
 185.2 | 188.9 
 
 192.6 
 
 196.3 
 
 200. 
 
 203.7 
 
 2074 
 
 211. 1 
 
 214.8 
 
 218.5 
 
 6 
 
 222.2 
 
 225.9 
 
 229.6 
 
 233-3 
 
 237- 
 
 240.7 
 
 244.4 
 
 248.1 
 
 251-9 
 
 255.6 
 
 7 
 
 259-3 
 
 263. 
 
 266.7 
 
 270.4 
 
 274.1 
 
 277.8 
 
 281.5 
 
 285.2 
 
 288.9 
 
 292.6 
 
 8 
 
 296.3 
 
 300. 
 
 303-7 
 
 307.4 
 
 311. 1 
 
 314.8 
 
 3i8.5 
 
 322.2 
 
 325-9 
 
 329-6 
 
 9 
 
 333-3 
 
 337- 
 
 340.7 
 
 344-4 
 
 348.1 
 
 351-9 
 
 355-6 
 
 359-3 
 
 363- 
 
 366.7 
 
 10 
 
 370.4 
 
 374-1 
 
 377-8 
 
 38i.5 
 
 385.2 
 
 388.9 
 
 392-6 
 
 396.3 
 
 400. 
 
 403.7 
 
 ii 
 
 407.4 
 
 411.1 
 
 414.8 
 
 418.5 
 
 422.2 
 
 425-9 
 
 429.6 
 
 433-3 
 
 437- 
 
 440.7 
 
 12 
 
 444-4 
 
 448.1 
 
 451-9 
 
 455-6 
 
 459-3 
 
 463- 
 
 466.7 
 
 470.4 
 
 474-1 
 
 477.8 
 
 *3 
 
 481.5 
 
 485.2 
 
 488.9 
 
 492.6 
 
 496.3 
 
 500. 
 
 503-7 
 
 5074 
 
 511.1 
 
 514-8 
 
 J 4 
 
 518.5 
 
 522.2 
 
 525-9 
 
 529.6 
 
 533-3 
 
 537- 
 
 540.7 
 
 544-4 
 
 548.1 
 
 551-9 
 
 15 
 
 555-6 
 
 559-3 
 
 563- 
 
 566.7 
 
 570.4 
 
 574-1 
 
 577-8 
 
 58i.5 
 
 585-2 
 
 588.9 
 
 16 
 
 592.6 
 
 59 6 -3 
 
 600. 
 
 603.7 
 
 607.4 
 
 6n.i 
 
 614.8 
 
 618.5 
 
 622.2 
 
 625.9 
 
 X 7 
 
 629.6 
 
 633.3 
 
 637. 
 
 640.7 
 
 644.4 
 
 648.1 
 
 651.9 
 
 655.6 
 
 659-3 
 
 663. 
 
 18 
 
 666:7 
 
 670.4 
 
 674.1 
 
 677-8 
 
 681.5 
 
 685.2 
 
 688.9 
 
 692.6 
 
 696.3 
 
 700. 
 
 *9 
 
 703-7 
 
 707.4 
 
 711.1 
 
 714.8 
 
 718.5 
 
 722.2 
 
 725-9 
 
 729.6 
 
 733-3 
 
 737- 
 
 20 
 
 740.7 
 
 744-4 
 
 748.1 
 
 751-9 
 
 755-6 
 
 759-3 
 
 763. 
 
 766.7 
 
 770.4 
 
 774-1 
 
 21 
 
 777-8 
 
 78i.5 
 
 785.2 
 
 788.9 
 
 792.6 
 
 796.3 
 
 800. 
 
 803.7 
 
 807.4 
 
 8n.i 
 
 22 
 
 814.8 
 
 818.5 
 
 822.2 
 
 825.9 
 
 829.6 
 
 833.3 
 
 837. 
 
 840.7 
 
 844.4 
 
 848.1 
 
 2 3 
 
 851.9 
 
 855-6 
 
 859-3 
 
 863. 
 
 866.7 
 
 870.4 
 
 874.1 
 
 877-8 
 
 881.5 
 
 885.2 
 
 24 
 
 888.9 
 
 892.6 
 
 896.3 
 
 900. 
 
 93-7 
 
 907.4 
 
 911.1 
 
 914.8 
 
 918.5 
 
 922.2 
 
 2 S 
 
 925-9 
 
 929.6 
 
 933-3 
 
 93^. 
 
 940-7 
 
 944-4 
 
 948.1 
 
 951-9 
 
 955-6 
 
 959-3 
 
 26 
 
 963- 
 
 966.7 
 
 970.4 
 
 974.1 
 
 977.8 
 
 981.5 
 
 985-2 
 
 988.9 
 
 992.6 
 
 996.3 
 
 2 7 
 
 IOOO. 
 
 1003.7 
 
 1007.4 
 
 ion. i 
 
 1014.8 
 
 1018.5 
 
 IO22.2 
 
 1025.9 
 
 1029.6 
 
 1033-3 
 
 28 
 
 1037. 
 
 1040.7 
 
 1044.4 
 
 1048.1 
 
 1051.9 
 
 1055.6 
 
 1059.3 
 
 1063. 
 
 1066.7 
 
 1070.4 
 
 29 
 
 1074.1 
 
 1077.8 
 
 1081.5 
 
 1085.2 
 
 1088.9 
 
 1092.6 
 
 1096.3 
 
 I IOO. 
 
 1103.7 
 
 1107.4 
 
 30 
 
 IIII. I 
 
 1114.8 
 
 1118.5 
 
 II22.2 
 
 1125.9 
 
 1129.6 
 
 1133-3 
 
 II37- 
 
 1140.7 
 
 1144.4 
 
 3i 
 
 1148.1 
 
 1151.9 
 
 II55-6 
 
 II59-3 
 
 1163. 
 
 1166.7 
 
 1170.4 
 
 1174.1 
 
 1177.8 
 
 1181.5 
 
 32 
 
 1185.2 
 
 1188.9 
 
 1192.6 
 
 1196.3 
 
 1200. 
 
 1203.7 
 
 1207.4 
 
 I2II.I 
 
 1214.8 
 
 1218.5 
 
 33 
 
 1222.2 
 
 1225.9 
 
 1229.6 
 
 1233-3 
 
 1237. 
 
 1240.7 
 
 1244.4 
 
 I248.I 
 
 1251-9 
 
 1255-6 
 
 34 
 
 1259-3 
 
 1263. 
 
 1266.7 
 
 1270.4 
 
 I274.I 
 
 1277.8 
 
 1281.5 
 
 1285.2 
 
 1288.9 
 
 1292.6 
 
 35 
 
 1296.3 
 
 1300. 
 
 I303-7 
 
 1307.4 
 
 I3II.I 
 
 1314-8 
 
 1318.5 
 
 1322.2 
 
 13259 
 
 1329.6 
 
 36 
 
 1333-3 
 
 1337- 
 
 1340.7 
 
 1344-4 
 
 I348.I 
 
 I35I.9 
 
 1355-6 
 
 1359-3 
 
 1363- 
 
 1366.7 
 
 37 
 
 1370.4 
 
 I374-I 
 
 1377-8 
 
 I38I.5 
 
 1385.2 
 
 1388.9 
 
 1392-6 
 
 1396.3 
 
 1400. 
 
 I403-7 
 
 38 
 
 1407.4 
 
 1411.1 
 
 1414.8 
 
 1418.5 
 
 1422.2 
 
 1425.9 
 
 1429.6 
 
 1433-3 
 
 1437- 
 
 1440.7 
 
 39 
 
 14444 
 
 1448.1 
 
 I45L9 
 
 1455-6 
 
 1459-3 
 
 1463. 
 
 1466.7 
 
 1470.4 
 
 I474-I 
 
 1477.8 
 
 40 
 
 I48I.5 
 
 1485-2 
 
 1488.9 
 
 1492.6 
 
 1496.3 
 
 1500. 
 
 1503-7 
 
 15074 
 
 1511.1 
 
 1514-8 
 
 4i 
 
 I5I8.5 
 
 1522.2 
 
 1525-9 
 
 1529.6 
 
 1533-3 
 
 1537- 
 
 15407 
 
 1544-4 
 
 1548.1 
 
 I55L9 
 
 42 
 
 1555-6 
 
 1559-3 
 
 1563. 
 
 1566.7 
 
 1570.4 
 
 I574-I 
 
 1577-8 
 
 1581.5 
 
 1585-2 
 
 1588.9 
 
 43 
 
 1592.6 
 
 1596-3 
 
 1600. 
 
 1603.7 
 
 1607.4 
 
 i6n.i 
 
 1614.8 
 
 1618.5 
 
 1622.2 
 
 1625.9 
 
 44 
 
 1629.6 
 
 1633-3 
 
 1637. 
 
 1640.7 
 
 1644.4 
 
 1648.1 
 
 1651.9 
 
 1655.6 
 
 1659-3 
 
 1663. 
 
 45 
 
 1666.7 
 
 1670.4 
 
 1674.1 
 
 1677.8 
 
 1681.5 
 
 1685.2 
 
 1688.9 
 
 1692.6 
 
 1696.3 
 
 1700. 
 
 46 
 
 1703.7 
 
 1707.4 
 
 1711.1 
 
 I7I4.8 
 
 I7I8.5 
 
 1722.2 
 
 1725-9 
 
 1729.6 
 
 1733-3 
 
 1/37. 
 
 47 
 
 1740.7 
 
 1744.4 
 
 1748.1 
 
 I75L9 
 
 1755-6 
 
 1759-3 
 
 1763. 
 
 1766.7 
 
 1770.4 
 
 1774.1 
 
 48 
 
 1777-8 
 
 1781.5 
 
 1785.2 
 
 1788.9 
 
 1792.6 
 
 1796.3 
 
 1800. 
 
 18037 
 
 1807.4 
 
 iSii.i 
 
 49 
 
 1814.8 
 
 1818.5 
 
 1822.2 
 
 1825.9 
 
 1829.6 
 
 1833.3 
 
 1837. 
 
 1840.7 
 
 1844.4 
 
 1848.1 
 
 50 
 
 1851.9 
 
 1855.6 
 
 1859-3 
 
 1863. 
 
 1866.7 
 
 1870.4 
 
 1874.1 
 
 1877.8 
 
 1881.5 
 
 1885.2 
 
 
 O. 
 
 
 
 2. 
 
 3- 
 
 , | 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9- 
 
49 
 TABLE ]So. 4 CONTINUED. 
 
 Areas 
 
 O.I 
 
 O.2 
 
 O.25 1 O.3 
 
 0.4 
 
 O.5 
 
 0.6 
 
 O.7 I O.75 
 
 08 
 
 0.9 
 
 
 
 
 
 
 
 
 
 
 
 Contents 
 
 0.4 
 
 0.7 
 
 O.g 1 I.I 
 
 1-5 
 
 1.9 
 
 2*2 
 
 2.6 1 2.8 
 
 3-0 
 
 3-3 
 
 Areas : Tens in left Column and Units at top. Contents for WO feet 
 in cubic yards in body of Table. 
 
 ! 
 
 0. 
 
 I. 
 
 2. 
 
 3. 
 
 4- 
 
 5. 
 
 6. 
 
 I 
 
 7- 
 
 8. 
 
 9- 
 
 51 
 
 1888.9 
 
 1892.6 
 
 1896.3 
 
 1900. 
 
 1903.7 
 
 1907.4 1911.1 
 
 1914.8 
 
 1918.5 
 
 1922.2 
 
 52 
 
 1925.9 
 
 1929.6 
 
 1933-3 
 
 I937- 
 
 1940.7 
 
 1944.4 
 
 1948.1 
 
 1951-9 
 
 1955-6 
 
 1959-3 
 
 53 
 
 1963. 
 
 1966.7 
 
 1970.4 
 
 1974.1 
 
 1977.8 
 
 1981-5 
 
 1985-2 
 
 1988.9 
 
 1992.6 
 
 1996.3 
 
 54 
 
 2OOO. 
 
 2003.7 
 
 20074 
 
 2011. 1 
 
 2014.8 
 
 2018.5 
 
 2O22.2 
 
 2025.9 
 
 2029.6 
 
 2033.3 
 
 55 
 
 2037. 
 
 2040.7 
 
 2044.4 
 
 2048.1 
 
 2051.9 
 
 2055.6 
 
 2059.3 
 
 2063. 
 
 2066.7 
 
 2070.4 
 
 56 
 
 2074.1 
 
 2077.8 I 2081.5 
 
 2085.2 
 
 2088.9 
 
 2092.6 j 2096.3 
 
 2IOO. 
 
 2103.7 
 
 2107.4 
 
 57 
 
 2II1.I 
 
 2114.8 
 
 2II8.5 
 
 2122.2 
 
 2125.9 
 
 2129.6 
 
 2133-3 
 
 2137. 
 
 2140.7 
 
 2144.4 
 
 58 
 
 2I48.I 
 
 2151.9 
 
 2155-6 
 
 2159-3 
 
 2163. 
 
 2166.7 
 
 2170.4 
 
 2I74.I 
 
 2177.8 
 
 2181.5 
 
 59 
 
 2185.2 
 
 2188.9 
 
 2192.6 
 
 2196.3 
 
 2200. 
 
 2203.7 
 
 22074 
 
 22II.I 
 
 2214.8 
 
 2218.5 
 
 60 
 
 2222.2 
 
 2225.9 
 
 2229.6 
 
 2233.3 
 
 2237. 
 
 2240.7 
 
 2244.4 
 
 2248.1 
 
 2251.9 
 
 2255.6 
 
 01 
 
 2259-3 
 
 2263. 
 
 2266.7 
 
 2270.4 
 
 2274.1 
 
 2277.8 
 
 22SI.5 
 
 2285.2 
 
 2288.9 
 
 2292.6 
 
 62 
 
 2296.3 
 
 2300. 
 
 2303.7 
 
 2307.4 
 
 23H.I 
 
 2314-8 
 
 2318.5 
 
 2322.2 
 
 2325-9 
 
 2329.6 
 
 63 
 
 2333-3 
 
 2337- 
 
 2340.7 
 
 2344-4 
 
 2348.1 
 
 235L9 
 
 2355-6 
 
 2359-3 
 
 2363- 
 
 2366.7 
 
 64 
 
 2370.4 
 
 2374-1 
 
 2377-8 
 
 2381.5 
 
 2385.2 
 
 2388.9 
 
 2392.6 
 
 2396.3 
 
 2400 y 
 
 2403.7 
 
 65 
 
 2407.4 
 
 2411.1 
 
 2414.8 
 
 2418.5 
 
 2422.2 
 
 2425.9 
 
 2429.6 
 
 2433-3 
 
 2437. 
 
 2440.7 
 
 66 
 
 2444.4 
 
 2448.1 
 
 245L9 
 
 2455-6 
 
 2459-3 
 
 2463. 
 
 2466.7 
 
 24/0.4 
 
 2474.1 
 
 2477-8 
 
 67 
 
 2481.5 
 
 2485-2 
 
 2488.9 
 
 2492.6 
 
 2496.3 
 
 2500. 
 
 2503.7 
 
 2507-4 
 
 2511.1 
 
 2514-8 
 
 68 
 
 2513.5 
 
 2522.2 
 
 2525.9 
 
 2529.6 
 
 2533-3 
 
 2537- 
 
 2540.7 
 
 2544-4 
 
 2548.1 
 
 2551-9 
 
 69 
 
 2555-6 
 
 2559-3 
 
 2563. 
 
 2566.7 
 
 2570.4 
 
 2574-T 
 
 2577-8 
 
 25SI.5 
 
 2585.2 
 
 2588.9 
 
 7 
 
 2592.6 
 
 2596-3 
 
 26OO. 
 
 2603.7 
 
 2607.4 
 
 2611.1 
 
 2614.8 
 
 26l8.5 
 
 2622.2 
 
 2625.9 
 
 7 1 
 
 2629.6 
 
 2633.3 
 
 2637. 
 
 2640.7 
 
 2644.4 
 
 2648.1 
 
 2651.9 
 
 2655.6 
 
 2659-3 
 
 2663. 
 
 72 
 
 2666.7 
 
 2670.4 
 
 2674.1 
 
 2677.8 
 
 2681.5 
 
 2685.2 
 
 2688.9 
 
 2692.6 
 
 2696.3 
 
 2700. 
 
 73 
 
 2703.7 
 
 2707.4 
 
 27II.I 
 
 2714.8 
 
 2/18.5 
 
 2722.2 
 
 2725.9 
 
 2729.6 
 
 2733.3 
 
 2737- 
 
 74 
 
 2740.7 
 
 2744-4 
 
 2748.1 
 
 2751.9 
 
 2755-6 
 
 2759-3 
 
 2763- 
 
 2766.7 
 
 2770.4 
 
 2774-1 
 
 75 
 
 2777.8 
 
 2781.5 
 
 2785.2 
 
 2788.9 
 
 2792.6 
 
 2796-3 
 
 2800. 
 
 2803.7 
 
 2807.4 
 
 2811.1 
 
 76 
 
 2814.8 
 
 2818.5 
 
 2822.2 
 
 2825.9 
 
 2829.6 
 
 2833-3 
 
 2837. 
 
 2840.7 2844.4 
 
 2848.1 
 
 77 
 
 2851.9 
 
 2855.6 
 
 2859-3 
 
 2863. 
 
 2866.7 
 
 2870.4 
 
 2874.1 
 
 2877.8 
 
 2881.5 
 
 2885.2 
 
 78 
 
 2888.9 
 
 2892.6 
 
 2896.3 
 
 2gOO. 
 
 2903.7 
 
 2907.4 
 
 29II.I 
 
 2914.8 
 
 2918.5 
 
 2922.2 
 
 79 
 
 2925.9 
 
 2929.6 
 
 2933-3 
 
 2937- 
 
 2940.7 
 
 29444 
 
 2948.1 
 
 2951.9 
 
 2955.6 
 
 2959.3 
 
 80 
 
 2963. 
 
 2966.7 
 
 2970.4 
 
 2974.1 
 
 2977.8 
 
 2981.5 
 
 2985.2 
 
 2988.9 
 
 2992.6 
 
 2996.3 
 
 81 
 
 3000. 
 
 3003.7 
 
 30074 
 
 3OII.1 
 
 3014.8 
 
 3018.5 
 
 3O22.2 
 
 3025.9 
 
 3029.6 
 
 3033-3 
 
 ! 82 
 
 3037. 
 
 3040.7 
 
 3044-4 
 
 3048.1 
 
 305L9 
 
 3055-6 
 
 3059-3 
 
 3063. 
 
 3066.7 
 
 3070.4 
 
 83 
 
 3074-I 
 
 3077.8 
 
 30SI.5 
 
 3085.2 
 
 3088.9 
 
 3092.6 
 
 3096.3 
 
 3100. 
 
 3103.7 
 
 3107.4 
 
 84 
 
 3IH.I 
 
 3H4.8 
 
 3II8.5 
 
 3122.2 
 
 3125.9 
 
 3129-6 
 
 3133.3 
 
 3137. 3140.7 
 
 31444 
 
 85 
 
 3I43.I 
 
 3I5I9 
 
 3155.6 
 
 3I59.3 
 
 3163. 
 
 3166.7 
 
 31/0.4 
 
 3I74.I 3177.8 
 
 3181.5 
 
 86 
 
 3185.2 
 
 3188.9 
 
 3192.6 
 
 3196.3 
 
 3200. 
 
 3203.7 
 
 32074 
 
 32II.I 
 
 3214.8 
 
 3218.5 
 
 87 
 
 3222.2 
 
 3225.9 
 
 3229.6 
 
 3233.3 
 
 3237. 
 
 3240.7 
 
 32444 
 
 3248.1 
 
 3251.9 
 
 3255-6 
 
 88 
 
 3259-3 
 
 3263. 
 
 3266.7 
 
 3270.4 
 
 3274.1 
 
 3277.8 
 
 32SI.5 
 
 3285.2 3288.9 
 
 3292.6 
 
 89 
 
 3296.3 
 
 3300. 
 
 3303.7 
 
 3307-4 
 
 33H. I 
 
 3314.8 
 
 3318.5 
 
 3322.2 3325.9 
 
 3329.6 
 
 go 
 
 3333-3 
 
 3337- 
 
 3340.7 
 
 3344-4 
 
 3348.1 
 
 335L9 
 
 3355-6 
 
 3359-3 i 3363. 
 
 3366.7 
 
 9* 
 
 3370-4 
 
 3374-1 
 
 3377-8 
 
 3381.5 
 
 3385.2 
 
 3388.9 
 
 3392.6 
 
 3396.3 
 
 3400. 
 
 3403.7 
 
 92 
 
 3407-4 
 
 3411.1 3414.8 
 
 3418.5 
 
 3422.2 
 
 3425.9 
 
 3429-6 
 
 3433-3 
 
 3437. 
 
 3440.7 
 
 93 
 
 3444-4 
 
 3448.1 
 
 3451-9 
 
 3455-6 
 
 3459-3 
 
 3463. 
 
 34667 
 
 3470.4 
 
 3474.1 
 
 3477-8 
 
 94 
 
 34Sr.5 
 
 3485.2 
 
 3488.9 
 
 3492.6 
 
 3496.3 
 
 3500. 
 
 3503.7 
 
 35074 
 
 35U-I 
 
 3514.8 
 
 95 
 
 3518.5 
 
 3522.2 
 
 3525.9 
 
 3529-6 
 
 3533-3 
 
 3537- 
 
 3540.7 
 
 3544-4 
 
 3548.1 
 
 3551-9 
 
 96 
 
 3555-6 
 
 3559-3 
 
 3563. 
 
 3566.7 
 
 3570.4 
 
 3574-1 
 
 3577-8 
 
 35SI.5 
 
 3585-2 
 
 3588.9 
 
 97 
 
 3592.6 
 
 3596.3 
 
 3600. 
 
 3603.7 
 
 3607.4 
 
 3611.1 
 
 3614.8 
 
 3618.5 
 
 3622.2 
 
 3625.9 
 
 98 
 
 3629.6 
 
 3633.3 3637. 
 
 3640.7 
 
 3644.4 
 
 3648.1 
 
 365I-9 
 
 3655.6 3659-3 
 
 3663. 
 
 99 
 
 3666.7 
 
 3670.4 
 
 3674.1 3677.8 
 
 3681.5 
 
 363 5 .2 
 
 3688.9 i 3692.6 3696-3 
 
 37oo. 
 
 100 3703.7 | 
 
 37074 
 
 3711.1 3714.8 
 
 3718.5 
 
 3722.2 
 
 3/25.9 3729.6 
 
 3733-3 
 
 3737- 
 
 o. 
 
 *. 1 3- 
 
 4- 
 
 i 
 5- 6. 
 
 7- 8. 
 
 9- 
 
 1 
 
 i i 
 
 I 
 
 
50 
 
 TABLE No. 4 CONTINUED. 
 
 Areas . . . 
 
 O I 
 
 O 2 
 
 O 2^ 
 
 O "? 
 
 O A 
 
 Oe 
 
 o 6 
 
 O 7 
 
 O If, 
 
 o 8 
 
 OQ 
 
 
 
 
 
 
 
 
 
 
 
 
 0. 9 , 
 
 Contents. . 
 
 O.A 
 
 0.7 
 
 o.o 
 
 I.I 
 
 1.< 
 
 I.O 
 
 2 2 
 
 ^6 
 
 2.8 
 
 TO 
 
 ** 
 
 Areas: Tens in left Column and Units at top. Contents for IQQfcet 
 in cubic yards in body of Table. 
 
 L 
 
 o. 
 
 I. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 
 
 7- 
 
 8. 9- 
 
 XOI 
 
 3740.7 
 
 37444 
 
 3748.1 
 
 375T-9 
 
 3755-6 
 
 37593 
 
 3763. 
 
 3766.7 
 
 37704 
 
 3774-J 
 
 102 
 
 3777-8 
 
 3781.5 
 
 3785-2 
 
 3788.9 
 
 3792.6 
 
 3796-3 
 
 3800. 
 
 3803.7 
 
 3807.4 
 
 3811.1 
 
 103 
 
 3814-8 
 
 3818.5 
 
 3822.2 
 
 3825-9 
 
 3829.6 
 
 3833-3 
 
 3837. 
 
 3840.7 
 
 3844.4 i 3848,1 
 
 1104 
 
 3851-9 
 
 3855.6 
 
 3859.3 
 
 3863. 
 
 3866.7 
 
 3870.4 
 
 3874-1 
 
 3877-8 
 
 3881.5 3885.2 
 
 1105 
 
 3888.9 
 
 3892.6 
 
 3896.3 
 
 3900. 
 
 3903.7 
 
 3907-4 
 
 3911.1 
 
 3914.8 
 
 3918.5 3922,2 
 
 100 
 
 39 2 5-9 
 
 3929.6 
 
 3933-3 
 
 3937- 
 
 3940.7 3944.4 
 
 3948.1 
 
 3951-9 
 
 3955-6 3959-3 
 
 107 
 
 303- 
 
 3966.7 
 
 39704 
 
 3974-1 
 
 3977-8 
 
 398i.5 
 
 3985.2 
 
 3988.9 
 
 3992-6 
 
 3996.3 
 
 108 
 
 4000. 
 
 4003.7 
 
 4007.4 
 
 4011.1 
 
 4014.8 
 
 4018.5 
 
 4022.2 
 
 4025.9 
 
 4029.6 
 
 4033.3 
 
 109 
 
 4037. 
 
 4040.7 
 
 40444 
 
 4048.1 
 
 4051.9 
 
 4055.6 
 
 4059-3 
 
 4063. 
 
 4066.7 
 
 4070.4 
 
 no 
 
 4074.1 
 
 4077.8 
 
 4081.5 
 
 4085.2 
 
 4088.9 
 
 4092.6 
 
 4096.3 
 
 4100. 
 
 4103.7 
 
 4107.4 
 
 III 
 
 4111.1 
 
 4114.8 
 
 4II8.5 
 
 4122.2 
 
 4125.9 
 
 4129.6 
 
 4I33.3 
 
 4I37. 
 
 4140.7 
 
 4144.4 
 
 112 
 
 4148.1 
 
 4I5I-9 
 
 4155.6 
 
 4I59-3 
 
 4163. 
 
 4166.7 
 
 4170.4 
 
 4174.1 
 
 4177.8 
 
 4181.5. 
 
 "3 
 
 4185.2 
 
 4188.9 
 
 4192.6 
 
 4196.3 
 
 4200. 
 
 4203.7 
 
 4207.4 
 
 4211.1 
 
 4214.8 
 
 4218.5 
 
 114 
 
 4222.2 
 
 4225.9 
 
 4229.6 
 
 4233-3 
 
 4237. 
 
 4240.7 
 
 4244.4 
 
 4248.1 
 
 4251.9 
 
 4255.6 
 
 H5 
 
 4259-3 
 
 4263. 
 
 4266.7 
 
 4270.4 
 
 4274.1 
 
 4277.8 
 
 4281.5 
 
 4285.2 
 
 4288.9 
 
 4292.6 
 
 116 
 
 4296.3 
 
 4300. 
 
 4303.7 
 
 43074 
 
 4311.1 
 
 43I4.8 
 
 4318.5 
 
 4322.2 
 
 4325.9 
 
 4329-6 
 
 117 
 
 4333-3 
 
 4337- 
 
 4340-7 
 
 43444 
 
 4348.1 
 
 4351-9 
 
 4355-6 
 
 4359-3 
 
 4363. 
 
 4366.7 
 
 118 
 
 43704 
 
 4374-1 
 
 4377-8 
 
 4381.5 
 
 4385-2 
 
 4388.9 
 
 4392-6 
 
 4396.3 
 
 4400. 
 
 4403.7 
 
 119 
 
 4407.4 
 
 4411.1 
 
 4414.8 
 
 4418.5 
 
 4422.2 
 
 4425.9 
 
 4429.6 
 
 4433-3 
 
 4437. 
 
 4440.7 
 
 120 
 
 4444-4 
 
 4448.1 
 
 4451-9 
 
 4455-6 
 
 4459-3 
 
 4463- 
 
 4466.7 
 
 4470.4 
 
 4474-1 
 
 4477.8 
 
 121 
 
 4481.5 
 
 4485-2 
 
 4488.9 
 
 4492.6 
 
 4496.3 
 
 4500. 
 
 4503.7 
 
 45074 
 
 45H.I 
 
 4514.8 
 
 122 
 
 4518.5 
 
 4522.2 
 
 4525-9 
 
 4529-6 
 
 4533-3 
 
 4537- 
 
 4540-7 
 
 45444 
 
 4548-1 
 
 4551-9 
 
 123 
 
 4555-6 
 
 4559-3 
 
 4563. 
 
 4566.7 
 
 45704 
 
 4574-1 4577-8 
 
 458i.5 
 
 4585-2 
 
 4588.9 
 
 124 
 
 459 2 -6 
 
 4596.3 
 
 4600. 
 
 4603.7 
 
 4607.4 
 
 4611.1 4614.8 
 
 4618.5 
 
 4622.2 
 
 4625.9 
 
 125 
 
 4629.6 
 
 4633-3 
 
 4637. 
 
 4640.7 
 
 4644-4 
 
 4648.1 4651.9 
 
 4655-6 
 
 4659-3 
 
 4663. 
 
 125 
 
 4666.7 
 
 4670.4 
 
 4674.1 
 
 4677.8 
 
 4681.5 
 
 4685.2 4688.9 
 
 4692.6 
 
 4696.3 
 
 4700. 
 
 127 
 
 4703.7 
 
 47074 
 
 4711.1 
 
 4714.8 
 
 47i8.5 
 
 4722.2 4725.9 
 
 4729.6 
 
 4733-3 
 
 4737- 
 
 128 
 
 4740.7 
 
 47444 
 
 4748.1 
 
 4751-9 
 
 4755-6 
 
 4759-3 4763. 
 
 4766.7 
 
 4770-4 
 
 4774-1 
 
 129 
 
 4777-8 
 
 4/81.5 
 
 4785.2 
 
 4788.9 
 
 4792.6 
 
 4796.3 4800. 
 
 4803.7 
 
 4807.4 
 
 4811.1 
 
 130 
 
 4814.8 
 
 4818.5 
 
 4~822.2 
 
 4825.9 
 
 4829.6 
 
 4833.3 4837. 
 
 4840.7 
 
 4844-4 
 
 4848.1 
 
 131 
 
 4851.9 4855-6 
 
 4859-3 
 
 4863. 
 
 4866.7 
 
 4870.4 4874.1 
 
 4877.8 
 
 4881.5 
 
 4885.2 
 
 132 
 
 4888.9 
 
 4892.6 
 
 4896.3 
 
 4900. 
 
 4903.7 
 
 49074 
 
 4911.1 
 
 4914.8 
 
 49 l8 -5 
 
 4922.2 
 
 133 
 
 4925-9 
 
 4929.6 
 
 4933-3 
 
 4937- 
 
 4940.7 
 
 49444 
 
 4948.1 
 
 4951-9 
 
 4955-6 
 
 4959-3 
 
 134 
 
 4963- 
 
 4966.7 
 
 4970.4 
 
 4974.1 
 
 4977-8 
 
 498i.5 
 
 4985.2 
 
 4988.9 
 
 4992.6 
 
 4996.3 
 
 135 
 
 5000. 
 
 5003.7 
 
 5007.4 
 
 5011.1 
 
 5014.8 
 
 5018.5 
 
 5022.2 
 
 5025.9 
 
 5029.6 
 
 5033.3 
 
 136 
 
 5037- 
 
 5040.7 
 
 5044.4 
 
 5048.1 
 
 5051-9 
 
 5055-6 
 
 5059.3 
 
 5063. 
 
 5066.7 
 
 5070.4 
 
 J37 
 
 5074-1 
 
 5077.8 5081.5 
 
 5085.2 
 
 5088.9 
 
 5092.6 
 
 5096.3 
 
 5100. 
 
 5103.7 
 
 5107.4 
 
 138 
 
 $111.1 
 
 5114-8 
 
 5H8.5 
 
 5122.2 
 
 5I25-9 
 
 5129.6 
 
 5133.3 
 
 5I37. 
 
 5140.7 
 
 51444 
 
 139 
 
 5148.1 
 
 5I5L9 
 
 5I55-6 
 
 5I59-3 
 
 5163- 
 
 5166.7 
 
 51704 
 
 5I74-I 
 
 5177.8 
 
 5181.5 
 
 140 
 
 5185.2 
 
 5188.9 
 
 5192-6 
 
 5196.3 
 
 5200. 
 
 5203-7 
 
 5207.4 
 
 5211.1 
 
 5214-8 
 
 5218.5 
 
 141 
 
 5222.2 
 
 5225.9 
 
 5229.6 
 
 5233.3 
 
 5237. 
 
 5240.7 
 
 52444 
 
 5248.1 
 
 5251-9 
 
 5255-6 
 
 142 
 
 5259.3 
 
 5263. 
 
 5266.7 
 
 52704 
 
 5274-1 
 
 5277.8 
 
 5281.5 
 
 5285.2 
 
 5288.9 
 
 5292.6 
 
 143 
 
 5296.3 
 
 5300. 
 
 5303.7 
 
 53074 
 
 53II-I 
 
 5314.8 
 
 53i8.5 
 
 5322.2 
 
 5325.9 
 
 5329-6 
 
 144 
 
 5333-3 
 
 5337- 
 
 5340-7 
 
 5344-4 
 
 5348.1 
 
 5351-9 
 
 5355-6 
 
 5359-3 
 
 5363. 
 
 5366.7 
 
 *45 5370-4 
 
 5374-1 
 
 5377-8 
 
 5381.5 
 
 5385.2 
 
 5388.9 
 
 5392-6 
 
 5396.3 
 
 5400. 
 
 5403.7 
 
 146 5407.4 54H.I 
 
 5414-8 
 
 5418.5 
 
 5422.2 
 
 5425.9 
 
 5429-6 
 
 5433-3 
 
 5437- 
 
 5440.7 
 
 147 54444 5448.1 5451-9 
 
 5455-6 
 
 5459-3 
 
 5463- 
 
 5466.7 
 
 54704 
 
 5474-1 
 
 5477-8 
 
 148 5481.5 
 
 5485-2 
 
 5488.9 
 
 5492.6 
 
 5496.3 
 
 5500. 
 
 5503-7 
 
 55074 
 
 55II-I 
 
 5514-8 
 
 149 5513.5 5522.2 
 
 5525.9 
 
 5529-6 
 
 5533-3 
 
 5537- 
 
 5540-7 
 
 55444 
 
 554S.I 
 
 5551-9 
 
 150 5555-6 ! 5559-3 55^3- 
 
 5566.7 
 
 55704 
 
 5574-1 
 
 5577-8 
 
 5581.5 
 
 5585.2 
 
 5588.9 
 
 j | 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1 
 
 o. 
 
 I . 
 
 2. 
 
 3. 
 
 4. 
 
 5- 
 
 6. 
 
 7. 
 
 8. 
 
 9- 
 
51 
 TABLE Xo. 4 CONTINUED. 
 
 Areas. 
 
 Contents. 
 
 
 
 
 
 0.4 
 
 o. 
 
 0.25 03 
 
 0.9 
 
 0.4 
 15 
 
 0.5 
 
 0.6 
 
 0.7 j 0.75 
 
 0.8 
 
 0.9 
 3-3 
 
 1.9 | 22 
 
 2.6 I 2.8 
 
 30 
 
 Areas : Tens in left Column and Units at top. Contents for 100 feet 
 in cubic yards in body of Table. 
 
 +s 
 
 
 
 
 
 
 
 
 
 I 
 
 Jj 
 
 o. 
 
 i. 
 
 2. 
 
 3- 
 
 4. 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9- 
 
 
 
 
 
 
 
 
 
 
 
 151 
 
 5592.6 
 
 5596.3 
 
 5600. 
 
 5603.7 
 
 5607.4 
 
 5611.1 
 
 5614-8 
 
 5618.5 
 
 5622.2 
 
 5625.9 i 
 
 152 
 
 5629.6 
 
 5633-3 5637- 
 
 5640.7 
 
 56444 
 
 5648.1 
 
 5651-9 
 
 5655-6 
 
 5659.3 
 
 5663. 
 
 153 
 
 5666.7 
 
 5670.4 5674-1 
 
 5677-8 
 
 5681.5 
 
 5685.2 
 
 5688.9 
 
 5692.6 
 
 5696.3 
 
 5700. 
 
 154 
 
 5703.7 
 
 57074 
 
 57H.I 
 
 5714-8 
 
 5718.5 
 
 5722.2 
 
 5725.9 
 
 5729-6 
 
 5733-3 
 
 5737- 
 
 155 
 
 5740.7 
 
 5744.4 5748.1 
 
 5751-9 
 
 5755-6 
 
 5759-3 
 
 5763. 
 
 5766.7 
 
 5770.4 
 
 5774-1 
 
 156 
 
 5777.8 
 
 5781.5 5785.2 
 
 5788.9 
 
 5792.6 
 
 5796.3 
 
 5800. 5803.7 
 
 5807.4 5811.1 
 
 157 
 
 5814.8 5818.5 5822.2 
 
 5825-9 
 
 5829.6 
 
 5833.3 5837. 5840.7 
 
 5844.4 | 5848.1 
 
 158 
 
 5851.9 5855.6 5859.3 
 
 5863. 
 
 5866.7 
 
 5870.4 5874.1 
 
 5877.8 
 
 ! 5881.5 i 5885.2 
 
 159 
 
 5888.9 
 
 5892.6 5896-3 
 
 5900. 
 
 5903.7 
 
 5907.4 59H-I 
 
 5914.8 
 
 5918.5 
 
 5922.2 
 
 1 60 
 
 5925.9 
 
 5929.6 5933-3 
 
 5937- 
 
 5940.7 
 
 5944.4 5948.1 5951.9 
 
 I 5955-6 
 
 5959-3 
 
 161 
 
 5963. 
 
 5966.7 
 
 5970.4 
 
 5974-1 
 
 5977-8 
 
 5981.5 
 
 5985.2 
 
 5988.9 
 
 5992.6 
 
 5996.3 
 
 162 
 
 6000. 
 
 6003.7 
 
 6007.4 
 
 6011.1 
 
 6014.8 6018.5 
 
 6022.2 6025.9 
 
 1 6029.6 
 
 6033.3 
 
 163 
 
 6037. 
 
 6040.7 
 
 6044.4 
 
 6048.1 
 
 6051.9 
 
 6055.6 
 
 6059.3 
 
 Cc6 3 . 
 
 6066.7 
 
 6070.4 
 
 164 
 
 6074.1 
 
 6077-8 
 
 6081.5 
 
 6085.2 
 
 6088.9 ! 6092.6 
 
 6096.3 
 
 6100. 
 
 1 6103.7 
 
 6107.4 
 
 165 
 
 6111.1 
 
 6114.8 
 
 6118.5 
 
 6122.2 6125.9 6129.6 
 
 6133-3 
 
 6137. 
 
 I 6140.7 
 
 6144.4 
 
 166 
 
 6148.1 
 
 6151.9 
 
 6155-6 
 
 6159.3 6163. 6166.7 
 
 6170.4 
 
 6174.1 
 
 ! 6177.8 
 
 6181.5 
 
 167 
 
 6185.2 
 
 6188.9 
 
 6192.6 
 
 6196.3 
 
 6200. 6203.7 
 
 6207.4 
 
 6211.1 
 
 ! 6214.8 
 
 6218.5 l 
 
 168 
 
 6222.2 
 
 6225.9 
 
 6229.6 
 
 6233.3 
 
 6237. 6240.7 
 
 6244.4 
 
 6248.1 
 
 6251.9 
 
 62-55.6 
 
 169 
 
 6259.3 
 
 6263. 
 
 6266.7 
 
 6270.4 
 
 6274.1 
 
 6277.8 
 
 6281.5 
 
 6285.2 
 
 6288.9 
 
 6292.6 
 
 170 
 
 6296.3 
 
 6300. 
 
 6303.7 
 
 6307.4 
 
 6311.1 6314.8 
 
 6318.5 
 
 6322.2 
 
 1 6325.9 
 
 6329.6 
 
 
 6333.3 
 
 6337. 
 
 6340.7 
 
 63444 
 
 6348.1 6351.9 
 
 6355.6 
 
 6359-3 
 
 6363. 
 
 6366.7 
 
 172 
 
 6370.4 
 
 6374.1 
 
 6377.8 
 
 6381.5 
 
 6385.2 6388.9 
 
 6392.6 
 
 6396-3 
 
 | 6400. 
 
 6403.7 
 
 173 
 
 6407.4 
 
 6411.1 
 
 6414.8 
 
 6418.5 6422.2 6425.9 
 
 6429.6 
 
 
 ! 6437- 
 
 6440.7 
 
 174 
 
 6444.4 
 
 6448.1 
 
 6451.9 
 
 6455.6 6459.3 I 6463. 
 
 6466.7 
 
 6470.4 
 
 6474.1 
 
 6477.8 
 
 175 
 
 6481.5 
 
 6485.2 
 
 6488.9 
 
 6492.6 6496.3 | 6500. 
 
 6503-7 
 
 6507.4 
 
 6511.1 
 
 6514-8 
 
 176 
 
 6518.5 
 
 6522.2 
 
 6525-9 
 
 6529.6 6533.3 6537. 
 
 6540.7 
 
 6544.4 
 
 6^48 1 
 
 655L9 
 
 177 
 
 6555.6 
 
 6559-3 
 
 6563- 
 
 6566.7 6570.4 6574.1 6577.8 
 
 6581.5 
 
 6585.2 
 
 6588.9 
 
 178 
 
 6592.6 
 
 6596-3 
 
 6600. 
 
 6603.7 6607.4 6611.1 
 
 6614.8 6618.5 
 
 6622.2 
 
 6625.9 
 
 179 
 
 6629.6 
 
 6633.3 
 
 6637. 
 
 6640.7 
 
 6644.4 6648.1 6651.9 6655.6 
 
 6659.3 6663. 
 
 180 
 
 6666.7 
 
 6670.4 
 
 6674.1 
 
 6677.8 
 
 6681.5 
 
 6685.2 | 6688.9 6692.6 
 
 6696.3 
 
 6700. 
 
 181 
 
 6703.7 
 
 6707.4 
 
 6711.1 
 
 6714.8 
 
 6718.5 6722.2 
 
 6725.9 
 
 6729.6 
 
 6733-3 
 
 6737. 
 
 182 
 
 6740.7 
 
 6744.4 
 
 6748.1 
 
 6751-9 
 
 6755-6 6759.3 
 
 6763. 
 
 6766.7 
 
 6770.4 
 
 6774.1 
 
 183 
 
 6777.8 
 
 6781.5 
 
 6785.2 
 
 6788.9 
 
 6792.6 6796.3 
 
 6800. 
 
 6803.7 
 
 6807.4 
 
 6811.1 i 
 
 184 
 
 6814.8 
 
 6818.5 
 
 6822.2 
 
 6825.9 
 
 6829.6 6833.3 6837. 
 
 6840.7 
 
 6844.4 
 
 6848.1 i 
 
 185 
 
 6851.9 
 
 6855.6 
 
 6859-3 
 
 6863. 
 
 6866.7 6870.4 
 
 6874.1 
 
 6877.8 
 
 6881.5 
 
 6885.2 
 
 186 
 
 6888.9 
 
 6892.6 
 
 6896.3 
 
 6900. 
 
 6903.7 i 6907.4 
 
 6911.1 
 
 6914.8 
 
 6918.5 
 
 6922.2 ! 
 
 187 
 
 6925.9 
 
 6929.6 
 
 6933.3 
 
 6937. 
 
 6940.7 6944.4 
 
 6948.1 6951.9 
 
 6955-6 
 
 6959.3 
 
 188 
 
 6963. 
 
 6966.7 
 
 6970.4 
 
 6974.1 
 
 6977.8 6981.5 6985.2 6988.9 
 
 6992.6 
 
 6996.3 
 
 189 
 
 7000. 
 
 7003.7 7007.4 
 
 7011.1 7014.8 7018.5 7022.2 7025.9 
 
 7029.6 
 
 7033-3 
 
 190 
 
 7037. 
 
 7040.7 7044.4 
 
 7048.1 7051-9 i 7055-6 7059-3 
 
 7063. 
 
 7066.7 
 
 7070.4 
 
 191 
 
 7074.1 
 
 7077.8 7081.5 
 
 7085.2 7088.9 7092.6 1 7096.3 7100. 
 
 7103.7 
 
 71074 
 
 192 
 
 7111.1 
 
 7114.8 7118.5 
 
 7122.2 7125.9: 7129.6! 7133.3 7137. 
 
 7140.7 
 
 71444 , 
 
 193 
 
 7148.1 
 
 7I5I-9 17155-6 7i593l7i63. 17166.717170.4 71741 
 
 7177-8 
 
 7I8I.5 
 
 194 
 
 7185.2 
 
 7188.9 1 7192.6 
 
 7196.3 7200. | 7203.7 7207.4 7211.1 
 
 72148 7218.5 1 
 
 195 
 
 7222.2 
 
 7225.9 7229.6 
 
 7233-3 7237. 7240.7 72444 7248-1 
 
 7251-9 
 
 7255.6 
 
 196 
 
 7259.3 
 
 7263. 
 
 7266.7 
 
 7270.4 
 
 7274.1 
 
 7277.8 7281.5 7285.2 
 
 7288.9 72926 
 
 197 
 
 7296.3 
 
 7300. 
 
 73037 
 
 73074 
 
 7311.1 
 
 7314.8 7318.5 7322.2 
 
 73259 
 
 7329.6 
 
 jig8 
 
 7333-3 
 
 7337- 
 
 7340.7 
 
 7344-4 
 
 7348.1 
 
 7351-9 7355-6 
 
 7359-3 
 
 7363. 
 
 7366.7 
 
 199 
 
 7370.4 
 
 7374-1 
 
 7377-8 
 
 7381.5 
 
 7385-2 
 
 7388.9 
 
 7392-6 
 
 7396.3 
 
 7400. 
 
 7403 7 
 
 200 
 
 7407.4 
 
 7411-1 
 
 7414.8 
 
 7418.5 
 
 7422.2 
 
 
 7429.6 
 
 7433-3 
 
 7437- 
 
 7440.7 
 
 
 o. 
 
 I. 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9 
 
 
 
 i i 
 
 
 
 
 
52 
 TABLE Xo. 4 CONTINUED. 
 
 ; Areas . . . . j o.i 
 
 I o.i j 0.2 0.25 j 0.3 0.410.5 0.6 0.7 0.75 0.8 0.9 
 
 Contents. ... ......... | 0.4 1 0.7 
 
 n 
 
 -1.5 1.9 
 
 2.6 
 
 Areas : Tens in left Column and Units at top. Contents for IQQfcci 
 in cubic yards in body of Table. 
 
 4> 
 
 9 
 
 PEI 
 
 0. | , 
 
 2. 
 
 3- 
 
 4- 
 
 5. 
 
 6. 
 
 tj ^ 
 
 8. 
 
 i 
 9- 
 
 2DI 
 
 7444.4 
 
 7448.1 
 
 745I.9| 7455.6 
 
 7459-3 
 
 7463. 
 
 7466.7 7470.4 
 
 7474-1 
 
 7477-8 
 
 202 
 
 7481.5 
 
 7485-2 
 
 7488.9 7492.6 
 
 7496.3 
 
 7500. 
 
 7503-7 
 
 75074 
 
 75H.I 
 
 7514-8 
 
 2^3 1 75IS.5 
 
 7522.2 
 
 7525-9 7529.6 
 
 7533-3 
 
 7537- 
 
 7540-7 
 
 7544-4 
 
 7548.1 
 
 7551-9 
 
 204 
 
 7555-6 
 
 7559-3 
 
 7563. 7566.7 
 
 7570.4 
 
 7574-1 
 
 7577-8 
 
 7581.5 
 
 7585.2 
 
 7588.9 
 
 205 
 
 7592.6 
 
 759 6 -3 
 
 7600. 
 
 7603.7 
 
 7607.4 
 
 7611.1 
 
 7614.8 
 
 7618.5 
 
 7622.2 
 
 7625.9 
 
 206 
 
 7629.6 
 
 7633-3 
 
 7637. 
 
 7640.7 
 
 7644.4 
 
 7648.1 
 
 7651.9 
 
 7655.6 7659.3 
 
 7663. 
 
 207 
 
 7666.7 
 
 7670.4 
 
 7674.1 
 
 7677.8 
 
 7681.5 
 
 7685.2 
 
 7688.9 
 
 7692.6 
 
 7696.3 
 
 7700. 
 
 208 
 
 7703.7 
 
 7707-4 
 
 77II.1 
 
 7714.8 7718.5 
 
 7722.2 
 
 7725.9 7729.6 
 
 7733-3 
 
 7737- 
 
 209 
 
 7740.7 
 
 7744-4 
 
 7748.1 
 
 7751-9 7755-6 
 
 7759-3 
 
 7763. !7766.7 
 
 7770.4 
 
 7774-1 
 
 210 
 
 7777-8 
 
 778i.5 
 
 7785-2 
 
 7788.9 1 7792.6 
 
 7796.3 
 
 7800. 
 
 7803.7 
 
 7807.4 
 
 7811.1 
 
 211 
 
 7814.8 
 
 7818.5 
 
 7822.2 
 
 7825.9 j 7829.6 
 
 7833.3 
 
 7837. 
 
 7840.7 
 
 7844.4 
 
 7848.1 
 
 212 
 
 7851.9 
 
 7855.6 
 
 7859-3 7863. ! 7866.7 
 
 7870.4 
 
 7874.1 
 
 7877.8 
 
 7881.5 
 
 7885.2 
 
 2I 3 
 
 7888.9 
 
 7892.6 
 
 7896.3 7900. 
 
 7903.7 
 
 79074 
 
 7911.1 
 
 7914.8 
 
 7918.5 
 
 7922.2 
 
 2I 4 
 
 79 2 5.9 
 
 7929.6 
 
 7933-3 ! 7937- 
 
 7940.7 
 
 7944-4 
 
 7948.1 
 
 7951-9 
 
 7955-6 
 
 7959-3 
 
 215 
 
 7963- 
 
 7966.7 
 
 7970.4 7974-1 
 
 7977-8 
 
 798i.5 
 
 7985.2 
 
 7988.9 
 
 7992.6 
 
 7996.3 
 
 216 
 
 8000. 
 
 8003.7 
 
 8007.4 
 
 8011. i 
 
 8014.8 
 
 8018.5 
 
 8022.2 
 
 8025.9 
 
 8029.6 
 
 8033-3 
 
 217 
 
 8037. 
 
 8040.7 
 
 8044.4 
 
 8048.1 
 
 8051.9 
 
 8055.6 
 
 8059.3 
 
 8063. 
 
 8066.7 
 
 8070.4 
 
 2x8 
 
 8074.1 
 
 8077.8 
 
 8081.5 8085.2 8088.9 
 
 8092.0 
 
 8096.3 
 
 8100. 
 
 8103.7 
 
 8107.4 
 
 219 
 
 8111.1 
 
 8114.8 
 
 8118.5 8122.2 8125.9 
 
 8129.0 
 
 0133-3 
 
 8i37. 
 
 8140.7 
 
 8144.4 
 
 220 8148.1 
 
 8151.9 8155.6 
 
 8159.31 8163. 
 
 8166.7 
 
 8170.4 
 
 8174.1 
 
 8177-8 
 
 8181.5 
 
 221 8185.2 
 
 8188.9 8192.6 
 
 8196.3 8200. 
 
 8203.7 
 
 8207.4 
 
 8211.1 
 
 8214.8 
 
 8218.5 
 
 222 8222.2 
 
 8225.9 
 
 8229.6 
 
 8233-3 
 
 8237. 
 
 8240.7 
 
 8244.4 
 
 8248.1 
 
 8251.9 
 
 8255-6 
 
 223 8259.3 
 
 8263. 
 
 8266.7 
 
 8270.4 8274.1 
 
 8277.8 
 
 8281.5 
 
 8285.2 
 
 8288.9 
 
 8292.6 
 
 224 8296.3 
 
 8300. 
 
 8303.7 8307.4 8311.1 
 
 8314-8 
 
 8318.5 
 
 8322.2 
 
 8325.9! 8329.6 
 
 225 8333.3 
 
 8337. 
 
 8340.7 8344.4 8348.1 
 
 8351-9 
 
 8355-6 
 
 8359.3 
 
 8363- 
 
 8366.7 
 
 226 8370.4 
 
 8374.1 
 
 8377.8 
 
 8381.5 8385.2 
 
 8388.9 
 
 8392.6 
 
 8396.3 
 
 8400. 
 
 8403-7 
 
 227 8407.4 
 
 8411.1 
 
 8414.8 8418.5 j 8422.2 
 
 8425.9 
 
 8429.6 
 
 8433.3 
 
 8437. 
 
 8440.7 
 
 228 ! 8444.4 
 
 8448.1 8451.9 8455.6 8459.3 
 
 8463. 
 
 8466.7 
 
 8470.4 8474.1 
 
 8477-8 
 
 229 8481.5 
 
 8485.2 
 
 8488.9 
 
 8492.6 i 8496.3 
 
 8500. 
 
 8503-7 
 
 8507.4 8511.1 
 
 8514-8 
 
 230 8518.5 
 
 8522.2 
 
 8525-9 
 
 8529.6! 8533.3 
 
 8537. 
 
 8540.7 
 
 8544.4 8548.1 
 
 855L9 
 
 2 3 r 
 
 8 555-6 
 
 8559-3J 8563. 
 
 8566.7 
 
 8570.4 
 
 8574.1 
 
 8577.8 
 
 8581.5 
 
 8585-2 
 
 8588.9 
 
 232 1 8592.6 
 
 8596.3 8600. 
 
 8603.7 
 
 8607.4 
 
 8611.1 
 
 8614.8 
 
 8618.5 
 
 8622.2 
 
 8625.9 
 
 233 i 8620.6 
 
 8633.3 I 8637. 
 
 8640.7 
 
 8644.4 
 
 8648.1 
 
 8651.9 
 
 8655.6 
 
 8659-3 
 
 8663. 
 
 2 34 
 
 8666.7 
 
 8670.4 
 
 8674.1 
 
 8677.8 
 
 8681.5 
 
 8685.2 
 
 8688.9 
 
 8692.6 
 
 8696.3 
 
 8700. 
 
 235 
 
 8703.7 
 
 8/07.4 
 
 8711.1 8714.8 8718.5 
 
 8722.2 
 
 8725-9 
 
 8729.6 
 
 8733-3 
 
 8737. 
 
 O J 
 
 236 
 
 8740.7 
 
 8744.4 
 
 8748.1 8751.9 8755.6 
 
 8759-3 
 
 8763. 
 
 8766.7 
 
 8770.4 8774.1 
 
 237 
 
 8777.8 
 
 8781.5 
 
 8785.2 8788.9 
 
 8792.6 
 
 8796.3 
 
 8800. 
 
 8803.7 
 
 8807.4 8811.1 
 
 238 
 
 8814.8 
 
 8818.5 
 
 8822.2 8825.9 
 
 8829.6 
 
 8833-3 
 
 8837. 
 
 8840.7 
 
 8844.4 8848.1 
 
 239 
 
 8851.9 
 
 8855-6 
 
 8859-3 
 
 8863. 8866.7 
 
 8870.4 
 
 8874.1 
 
 8877.8 
 
 8881.5 8885.2 
 
 240 
 
 88880 
 
 8892.6 
 
 8896.3 
 
 8900. 
 
 8903.7 
 
 8907.4 
 
 8911.1 
 
 8914.8 
 
 8918.5 8922.2 
 
 241 8925.9 
 
 8929.6 
 
 8933-3 
 
 8937. 
 
 8940.7 
 
 8944.4 
 
 8948.1 
 
 8951.9 
 
 8955-618959.3 
 
 242 8963. 
 
 8966.7 
 
 8970.4 8974.1 8977.8 
 
 8981.5 
 
 8985.2 
 
 8988.9 
 
 8992.6 ; 8996.3 
 
 243 
 
 9000. 
 
 9003.7 
 
 9007.4 9011.1 9014.8 
 
 9018.5 
 
 9022.2 
 
 9025.9 
 
 9029.6 i 9033.3 
 
 244 9037. 
 
 9040.7 
 
 9044.4 
 
 9048.1 
 
 9051.9 9055.6 
 
 9 59-3 
 
 9063. 
 
 9066.7 : 9070.4 
 
 245 9074.1 
 
 9077.8 
 
 9081.5 9085.2 
 
 9088.9 
 
 9092.6 
 
 9096.3 
 
 9100. 
 
 9103.7 
 
 9107.4 
 
 246 9111.1 
 
 9114.8 19118.5 j 9122.2 9125.9 
 
 9129.6 
 
 9 r 33-3 
 
 9!37- 
 
 9140.7 
 
 9144.4 
 
 247 9148.1 
 
 9 T 5i9 
 
 9I55-6 ! 9*59-3 9 l6 3- 
 
 9166.7 
 
 9170.4 
 
 9174.1 
 
 9177.8 9181.5 
 
 248! 9185.2 
 
 9188.9 
 
 9192.6 i 9196.3 i 9200. 
 
 9203.7 
 
 9207.4 
 
 9211.1 
 
 9214.8 
 
 9218.5 
 
 249 Q222.2 
 
 9225.9 | 9229.6 9233.3 9237. 
 
 9240.7 
 
 9244.4 
 
 9248.1 
 
 9251.9 
 
 9255-6 
 
 250 
 
 9 2 59-3 
 
 9263. 9266.7 
 
 9270.4 9274.1 
 
 9277.8 
 
 9281.5 9285.2 9288.9 
 
 9292.6 
 
 
 o. j i. . 3- 4- 5- 
 
 6. 7- 
 
 8. 
 
 9- 
 
 
 1 i 
 
 1 
 
53 
 TABLE No. 4 CONTINUED. 
 
 j Areas .... 
 
 O.I I O.2 
 
 0.25 
 
 CM 
 
 0.4 1 0.5 
 
 06 
 
 O.y 
 
 O.7<i 
 
 0.8 i o.q 
 " 
 
 
 
 
 
 
 
 
 
 
 (Contents. . . 
 
 0.4 1 0.7 
 
 0.9 
 
 i.i 
 
 1.5 1 1.9 
 
 2.2 
 
 2.6 
 
 2.8 
 
 3-0 1 3-3 
 
 Areas: Tens in left Column and Units at top. Contents for IQQfeet 
 in cubic yards in body of Table. 
 
 o ! 
 
 
 
 
 
 o. 
 
 I. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 6. 
 
 7- 
 
 8. 
 
 9- 
 
 251 
 
 9296.3 
 
 9300. 
 
 9303.7 9307.4 
 
 9311.1 9314-8; 93I8.5J 9322.2 9325.9 
 
 9329.6 
 
 252 
 
 9333-3 
 
 9337- 
 
 9340.7 9344-4 
 
 9348.1! 9351.9 9355.6 9359.3 9363. 
 
 9366.7 
 
 253 
 
 9370.4 9374-1 
 
 9377-8 9381.5 
 
 9385.2 9388.9! 9392.6 9396.3 9400. 
 
 9403.7 
 
 254 
 
 9407.4 9411.1 
 
 9414.8 9418.5! 9422.2 9425.9! 9429.6 9433.3 
 
 9437- 
 
 9440.7 
 
 255 
 
 9444-4 
 
 9448.1 
 
 9451.9; 9455-6 
 
 9459.3 9463. 
 
 94667 
 
 9470.4 
 
 9474.1 
 
 9477.8 
 
 256 
 
 9481.5 
 
 9485.2 
 
 9488.9! 9492-6! 9496.3 
 
 9500. 
 
 9503-7 9507-4 
 
 9511.1 
 
 9514.8 
 
 257 
 
 9518.5 
 
 9522.2 
 
 9525.9 
 
 9529.6 9533.3 
 
 9537- 
 
 9540-71 9544-4 
 
 9548.1 
 
 9551-9 
 
 258 
 
 9555-6 
 
 9559-3 
 
 9563. 
 
 9566.7 
 
 9570.4 
 
 9574-ii 9577-8 9581.5 
 
 9585.2 
 
 9588.9 
 
 259 
 
 9592.6 
 
 9596.3 9600. 
 
 9603.7 
 
 9607.4 
 
 9611.1 
 
 9614.8 9618.5 9622.2 
 
 9625.9 
 
 260 
 
 9629.6 
 
 9633-3 9637. 
 
 9640.7 
 
 9644.4 
 
 9648.1 
 
 9651.9 9655.6 
 
 9659-3 
 
 9663. 
 
 261 
 
 9666.7 
 
 9670.4 9674.1 
 
 9677.8 
 
 9681.5 
 
 9685.2 
 
 9688.9) 9692.6 
 
 9696.3 
 
 9700. 
 
 262 
 
 9703.7 
 
 9707.4 9711.1 
 
 9714.8 
 
 9718.5 
 
 9722.2 
 
 9725.9 9729-6 
 
 9733-3 
 
 9737- 
 
 263 
 
 9740.7 
 
 9744-4 
 
 9748.1 
 
 975T-9 
 
 9755-6 
 
 97593 
 
 9763. 
 
 9766.7 
 
 9770.4 
 
 9774-1 
 
 264 
 
 9777-8 
 
 9781.5 
 
 9785.2 
 
 9788.9 
 
 9792.6 
 
 9796.3 9800. 
 
 9803.7 
 
 9807.4! 9811.1 
 
 265 
 
 9814.8 
 
 9818.5 
 
 9822.2 
 
 9825.9 
 
 9829.6 
 
 9833-3 9837. 
 
 9840.7 
 
 9844.4 
 
 9848.1 
 
 266 
 
 9851.9 
 
 9855.6 
 
 9859-3 
 
 9863. 
 
 9866.7 9870.4 9874.1 9877.8 
 
 9881.5 
 
 9885.2 
 
 267 
 
 9888.9 
 
 9892.6 
 
 9896.3 
 
 9900. 
 
 9903.7 9907.4 9911.1 9914.8 9918.5! 9922.2 
 
 268 
 
 9925-9 
 
 9929.6 
 
 9933-3 
 
 9937- 
 
 9940.7 
 
 9944.4) 9948.1 
 
 9951.9] 9955.6 
 
 9959-3 
 
 269 
 
 9963. 
 
 9966.7 
 
 9970.4 
 
 9974-1 
 
 9977.SJ 9981.5) 9985.2 9988.9 9992.6 
 
 9996.3 
 
 270 
 271 
 
 1 0000. 
 
 10037. 
 
 10003.7 10007.4 
 10040.7110044.4 
 
 IOOII.I 
 
 10048.1 
 
 IOOI4.8! IOOl8. 5IIOO22. 2 10025.9 
 I005I.9 10055.6 10059.3^0063. 
 
 10029. 6 10033. 3 
 10066.7 10070.4 
 
 272 
 
 10074.1 10077.8 10081.5 
 
 10085.2 
 
 10088.9: 10092.6! 10096.3! 10100. 
 
 10103.7 
 
 10107.4 
 
 2 73 
 
 101 1 1. 1 110114.8 10118.5 
 
 IOI22.2 
 
 10125.9 10129.6 10133.3 10137. 
 
 10140.7 
 
 10144.4 
 
 2 74 
 
 10148.1 10151.9 10155.6 
 
 IOI59.3 
 
 10163. 
 
 10166.7 10170.4 10174.1 10177.8 
 
 10181.5 
 
 2 75 
 
 10185.2 10188.9110192.6 
 
 10196.3 
 
 IO2OO. 
 
 10203.7 102074! I02II.I I02I4.8! I02I8.5 
 
 276 
 
 10222.2)10225.9 
 
 10229.6 
 
 10233.3 
 
 10237. 
 
 10240.7 10244.4 IO248.I 10251.9 
 
 10255.6 
 
 277 
 
 10259.3 10263. 
 
 10266.7 
 
 10270.4 
 
 I0274.I 10277.8 I028I.5 
 
 10285.2110288.9 
 
 10292.6 
 
 278 
 
 10296.3 10300. 
 
 10303.7 
 
 10307.4 
 
 I03II.I 10314.8 I03I8.5 
 
 10322.2 
 
 10325.9110329.6 
 
 2 79 
 
 I0333-3jio337. 
 
 10340.7 10344.4 
 
 I0348.I I035I.9 10355.6110359.3 10363. 
 
 10366.7 
 
 280 
 
 10370.410374.1 
 
 10377.8 10381.5 
 
 10385.2 10388.9 10392.6! 10396.3! IO4OO. 
 
 10403.7 
 
 281 
 
 10407.4 10411.1 
 
 10414.8 
 
 10418.5 
 
 10422.2 10425.9 10429.6 10433.3 10437. 
 
 10440.7 
 
 282 
 
 10444.410448.1 
 
 10451.9 
 
 10455.6 
 
 10459.3 10463. 
 
 10466.7 10470.4 10474.1 
 
 10477.8 
 
 283 
 
 10481. 5 [10485. 2 
 
 10488.9 10492.6 10496.3 10500. 
 
 10503.7 10507.4 10511.1 
 
 10514.8 
 
 284 
 
 10518.5 10522.2 
 
 10525.9 
 
 10529.6 
 
 10533.3 I0 537- 
 
 10540.7 10544.4 10548.1 
 
 10551-9 
 
 285 
 
 10555.6 10559.3 
 
 10563. 
 
 10566.7 10570.4 10574.1 
 
 10577.8 10581.5 10585.2 
 
 10588.9 
 
 286 
 
 10592.6 
 
 10596.3 
 
 10600. 
 
 10603.7 
 
 10607.4! 10611. 1 110614.8 
 
 10618.5 10622.2 10625.9 
 
 287 
 
 10629.6 
 
 10633.3 
 
 10637. 
 
 10640.7 
 
 10644.4 10648.1 10651.9 
 
 10655.6 10659.3110663. 
 
 288 
 
 10666.7 
 
 10670.4 
 
 10674.1 
 
 10677.8 
 
 I068l. 5^10685. 2 10688.9 
 
 10692.6 10696.3 
 
 10700. 
 
 289 
 
 10703.7 
 
 10707.4 
 
 10711.1 
 
 10714.8 I07I8.5 
 
 I0722.2!I0725.9 
 
 10729.6 10733.3 
 
 10737. 
 
 290 
 
 10740.7 
 
 10744.4110748.1 
 
 I075I.9 
 
 10755-6 
 
 10759.3 10763. 
 
 10766.7 10770.4 
 
 10774.1 
 
 291 
 
 10777.8 
 
 10781.5 10785.2 10788.9 
 
 10792.6 10796.3 10800. 
 
 10803.7 10807.4 10811. i 
 
 292 
 
 10814.8 
 
 10818.5 
 
 10822.2110825.9! 10829.6 10833.3110837. 
 
 10840.7 10844.4 
 
 10848.1 
 
 2Q3 
 
 10851.9 10855.6 10859.3 10863. 
 
 10866.7 10870.4:10874.! 
 
 10877.8 10881.5 10885.2 
 
 294 
 295 
 
 10888.9 10892.6 10896.3 10900. 
 10925.9 10929.6! 10933.3110937. 
 
 10903.7 
 10940.7 
 
 I09074JI09II.I 10914.8110918.5 
 I09444JI0948.I 10951.9 10955.6 
 
 10922.2 
 10959-3 
 
 296 
 
 10963. 
 
 10966.7 10970.4110974.1110977.8 10981.5 
 
 10985. 2110988.9 10992.6 
 
 10996.3 
 
 297 nooo. 
 
 11003.7 11007.4 noii. i 11014.8 11018.5 
 
 1 1022.2] 1 1025.9! 1 1029.6! 1 1033. 3 
 
 298 
 
 11037. 
 
 1 1040.7! 1 1044.4 ! 1048.1 1 105 i.g 1 1055.6 
 
 11059.3 11063. 
 
 11066.7 
 
 11070.4 
 
 299 
 
 11074.1 11077.8 11081.5 11085.2 
 
 HO88.9jIIO92.6 
 
 11096.3 
 
 moo. 
 
 11103.7 
 
 11107.4 
 
 300 
 
 IIIII.IjIIII4.8 IIII8.5 IH22.2 
 
 III25.9 III29.6 
 
 III33-3 
 
 11137. 
 
 11140.7 
 
 11144.4 
 
 
 0. I. 2. 
 
 3- 
 
 < 
 
 5. 
 
 6. 
 
 
 7. 8. 
 
 g. 
 
54 
 TABLE Xo. 4 CONTINUED. 
 
 Areas 
 
 O I 
 
 O 2 
 
 O 2$ 
 
 O ^ 
 
 04. 
 
 o 5 
 
 o 6 
 
 O 7 
 
 O 7^ 
 
 08 
 
 o 9 i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 [Contents 
 
 0.4 
 
 0.7 
 
 0.9 
 
 I.I 
 
 15 
 
 1.9 
 
 2 2 
 
 2.6 
 
 2.8 
 
 30 
 
 J 
 
 .4 raw ; Tens in left Column and Units at top. Contents for IQQfeet 
 in cubic yards in body of Table. 
 
 1 -si 
 
 
 
 
 
 
 
 
 
 
 1 
 
 o. 
 
 I- 
 
 2. 3. 4- 
 
 5- 
 
 6. 
 
 
 
 7- 
 
 8. 
 
 9. 
 
 1301 
 
 11148.1 
 
 III5I.9 
 
 11155.6 11159.3 11163. 
 
 11166.7 
 
 11170.4 
 
 11174.1 11177.8 11181.5 
 
 302 
 
 11185.2 
 
 IllSS.g 
 
 11192.6 11196.3 1 1 200. 
 
 11203.7 
 
 11207.4 
 
 II2II.I II2I4.8 II2I8.5 
 
 303 
 
 II222.2 
 
 II225.9 
 
 11229.6,11233.3 11237. 
 
 11240.7 
 
 11244.4 
 
 II248.I 11251.9:11255.6 
 
 1304 
 
 11259.3 
 
 II263. 
 
 11266.7 1 1 270.4; 1 1274. i 
 
 11277.8 
 
 11281.5 
 
 II285.2 11288.9:11292.6 
 
 305 
 
 11296.3 
 
 II3OO. 
 
 11303.7 11307.411311.1 
 
 11314.8 
 
 11318.5 
 
 II322.2 11325.9 11329.6 
 
 306 
 
 II333-3 
 
 II337- 
 
 11340.7 11344.4:11348.1 
 
 11351.9 
 
 II355-6 
 
 II359.3 H363. 
 
 11366.7 
 
 307 
 
 11370.411374.! 
 
 11377.8 11381.5111385.2 11388.9 
 
 11392.6 
 
 11396.3 II400. 
 
 11403.7 
 
 5308 
 
 11407.4 
 
 II4II.I 
 
 11414.8 11418.5 11422.2 11425.9 
 
 11429.6 
 
 II433.3 II437- 
 
 11440.7 
 
 309 
 
 II4444 
 
 II448.I 
 
 11451.9 11455.6 11459.3 11463. 
 
 11466.7 
 
 II470.4 H474.I 
 
 11477.8 
 
 310 
 
 11481.5 
 
 11485.2 
 
 11488.9 11492.6:11496.3 11500. 
 
 11503-7 
 
 11507.4111511.1 
 
 11514.8 
 
 311 
 
 II5I8.5 
 
 II522.2 
 
 11525.911529.611533.311537. 
 
 11540.7 
 
 II5444 
 
 H548.I 
 
 "551.9 
 
 312 
 
 II555-6 
 
 1*559-3 
 
 11563. 
 
 II566.7 II570.4 II574-I 
 
 II577-8 
 
 H58I.5 
 
 11585-2 
 
 11588.9 
 
 313 
 
 II592.6 11596.3 
 
 11600. 
 
 11603.7 Ii6o7.4!ii6ii.i 
 
 11614.8 
 
 Il6l8.5 
 
 11622.2 
 
 11625.9 
 
 i3i5 
 
 11629.6 
 II666.7 
 
 11633.3 11637. 
 11670.4 11674.1 
 
 11640.7 11644.4 11648.1 
 11677.8 11681.5 11685.2 
 
 11651.9 
 11688.9 
 
 11655.6 
 11692.6 
 
 11659.3 11663. 
 11696.3 11700. 
 
 316 
 
 II703.7 
 
 11707.4 
 
 11711.1 
 
 11714.8 11718.5 11722.2 
 
 11725.9 
 
 11729.6 
 
 Ii733.3;ii737. 
 
 317 
 
 II740.7 
 
 11744.4 
 
 11748.1 
 
 11751.9 II755-6 H759-3 
 
 11763. 
 
 II766.7 
 
 11770.4 11774-1 
 
 
 II777.8 
 
 11781.5 
 
 11785.2 
 
 11788.9 11792.6 11796.3 11800. 
 
 11803.7 
 
 11807.4 uSii.i 
 
 319 
 
 11814.8 
 
 11818.5 
 
 11822.2 
 
 11825.9111829.6 11833.3 
 
 11837- 
 
 11840.7 
 
 11844.4 11848.1 
 
 320 
 
 11851.9 
 
 11855.6 
 
 11859.3 11863. 11866.7 11870.4 
 
 11874.1 
 
 II877.8 
 
 11881.5 11885.2 
 
 321 
 
 II888.9 
 
 11892.6 
 
 11896.311900. 11903.711907.4 
 
 11911.1 
 
 11914.8 
 
 11918.5 11922.2 
 
 322 
 
 11925.9 
 
 11929.6 
 
 H933.3 
 
 11937. 11940.7:11944.4 
 
 11948.1 
 
 II95I.9 
 
 11955.611959-3 
 
 323 
 
 11963. 
 
 11966.7 
 
 11970.4 11974.1 11977-8 11981.5 
 
 11985.2 
 
 11988.9 
 
 11992.611996.3 
 
 324 
 
 I2OOO. 
 
 12003.7 
 
 120074 I20II.I I20I4.8 
 
 12018.5 
 
 12022.2 
 
 12025.9 
 
 12029.6 12033.3 
 
 325 
 
 12037. 
 
 12040.7 
 
 12044.4 I2O48.I 12051.9 
 
 12055.6 
 
 12059.3 
 
 12063. 
 
 12066.7 12070.4 
 
 326 
 
 I2O74.I 
 
 12077.8 
 
 I208I.5 
 
 12085.2 12088.9 12092.6 
 
 12096.3 
 
 I2IOO. 
 
 12103.7 12107.4 
 
 327 
 
 I2III.I 
 
 
 I2II8.5 
 
 I2I22.2 12125.9 I2I29.6 
 
 I2I33-3 
 
 I2I37.0 
 
 12140.7 12144.4 
 
 328 
 
 I2I48.I 
 
 12151.9 
 
 I2I55.6 12159.3 12163. 
 
 12166.7 
 
 I2I70.4 
 
 I2I74.I 
 
 12177.8 12181.5 
 
 329 
 
 I2I85.2 
 
 12188.9 
 
 I2I92.6 12196.3 12200. 
 
 12203.7 
 
 122074 
 
 I22II.I 
 
 12214.8 12218.5 
 
 330 
 
 12222.2 
 
 12225.9 
 
 12229.6 
 
 12233.3 12237. 
 
 12240.7 
 
 12244.4 
 
 I2248.I 12251.9 12255.6 
 
 33 1 
 
 12259.3 
 
 12263. 
 
 12266.7 
 
 I227O.4 I2274.I 12277.8 
 
 I228I.5 
 
 12285.2 
 
 12288.9 12292.6 
 
 332 
 
 12296.3 
 
 12300. 
 
 12303.7 
 
 12307.4 I23II.I I23I4.8 
 
 I23I8.5 
 
 12322.2 
 
 12325.9 12329.6 
 
 333 
 
 12333-3 
 
 12337. 
 
 12340.7 
 
 12344.4 I2348.I 
 
 12351-9 
 
 12355-6 
 
 12359-3 
 
 12363. 
 
 12366.7 
 
 334 
 
 12370.4 
 
 12374.1 
 
 12377.8 
 
 12381.5112385.2 
 
 12388.9 
 
 12392.6 
 
 12396.3 
 
 12400. 
 
 12403.7 
 
 335 
 
 12407.4 
 
 12411.1 
 
 I24I4.8 
 
 12418.5 12422.2 
 
 12425.9 
 
 12429.6 
 
 12433-3 
 
 12437. 
 
 12440.7 
 
 336 
 
 12444.4 
 
 12448.1 
 
 12451.9 
 
 12455.6 12459.3112463. 
 
 12466.7 
 
 12470.4 
 
 12474.1 
 
 12477.8 
 
 337 
 338 
 
 12481.5 
 I25I8.5 
 
 12485.2 
 12522.2 
 
 12488.9 12492.6 12496.3 I25OO. 
 12525.9 12529.6 12533.3 12537. 
 
 12503.7 
 12540.7 
 
 12507.4 
 12544.4 
 
 12511.1 
 
 12548.1 
 
 12514.8 
 12551-9 
 
 339 
 340 
 
 12555-6 
 12592.6 
 
 12559-3 
 12596.3 
 
 12563. 
 12600. 
 
 12566.7 12570.4 I2574.I 
 12603.7 12607.4 126II.I 
 
 12577-8 
 12614.8 
 
 12581.5 
 I26I8.5 
 
 12585.2 
 12622.2 
 
 12588.9 
 12625.9 
 
 
 12629.6 
 
 12633.3 
 
 12637. 
 
 12640.7 12644.4 
 
 12648.1 
 
 12651.9 
 
 12655.6 
 
 12659.3 
 
 12663. 
 
 342 
 
 12666.7 
 
 12670.4 
 
 I2674.I 
 
 12677.8 12681.5 
 
 12685.2 
 
 12688.9 
 
 12692.6 
 
 12696.3 
 
 12700. 
 
 343 
 
 12703.7 
 
 12707.4 
 
 I27II.I 
 
 12714.8 I27I8.5 
 
 12722.2 
 
 12725.9 
 
 12729.6 12733.3 
 
 12737. 
 
 344 
 
 12740.7 
 
 12744.4 
 
 I2748.I 
 
 I275I.9 12755.6 
 
 12759.3 
 
 12763. 
 
 12766.7 12770.4 
 
 12774.1 
 
 345 
 
 12777.8 
 
 12781.5 
 
 12785.2 12788.9 12792.6 
 
 12796.3 
 
 12800. 
 
 12803.7 12807.4112811.1 
 
 346 
 
 I28I4.8 
 
 12818.5 
 
 12822.2 12825.9 12829.6 
 
 12833.3 
 
 12837. 
 
 12840.7 
 
 12844.4 12848.1 
 
 347 
 
 12851.9 
 
 12855.6 
 
 12859.3 
 
 12863. 12866.7 
 
 12870.4 
 
 I2874.I 
 
 12877.8 
 
 12881.5 12885.2 
 
 348 
 
 12888.9 
 
 12892.6 
 
 12896.3 
 
 I29OO. 12903.7 
 
 12907.4 12911.1 
 
 12914.8 I29l8.5|l2922.2 
 
 349 
 
 12925.9 
 
 12929.6 
 
 12933-3 
 
 12937. 12940.7 
 
 12914.4 
 
 12948.1 
 
 12951.9 
 
 12955-6 
 
 12959-3 
 
 35<> 
 
 12963. 
 
 12966.7 
 
 12970.4 12974.1 12977.8 12981.5 12985.2 
 
 12988.9 12992.6 12996.3 
 
 
 0. 
 
 i. 
 
 2. 3. 4. 
 
 5- 
 
 
 
 7- 
 
 8. 
 
 9- 
 
 . 
 
 
 
 
 
 
 
 
 
 
55 
 TABLE So. 4 CONCLUDED. 
 
 (Areas 1 o I 1 o 2 
 
 O 2Z 
 
 o 3 
 
 O 4 
 
 o 5 
 
 06 
 
 O 7 1 O 7^ 
 
 08 
 
 o 9 
 
 
 
 
 
 
 
 
 
 
 IContents I 0.4 1 0.7 
 
 09 
 
 i.i 
 
 i-5 
 
 1.9 
 
 2.2 
 
 2.6 1 2.8 
 
 3-0 
 
 3-3 
 
 Areas; Tens in left Column and Units at top. Contents for IQQfeet 
 in cubic yards in body of Table. 
 
 1 
 
 o. 
 
 i. 
 
 2. 
 
 3. 
 
 4. 
 
 5. 
 
 6. 
 
 7. 
 
 8. 
 
 9- 
 
 35i 
 
 13000. 
 
 13003.7 
 
 13007.4 I3OII.I 13014.8 
 
 I3OI8.5 I3O22.2 
 
 13025.9 
 
 13029.6 
 
 13033-3 
 
 352 
 
 13037- 
 
 13040.7 
 
 13044.4 13048.1113051.9 
 
 I3055-6 
 
 13059.3 
 
 13063. 13066.7 
 
 13070.4 
 
 353 
 
 13074.1 
 
 13077.8 13081.5 13085.2 
 
 13088.9 
 
 13092.6 13096.3 
 
 13100. 
 
 13103-7 
 
 13107.4 
 
 354 
 355 
 
 13111.1113114.8 13118.5 13122.2 
 13148.1 13151.9 13155.6 I3I59-3 
 
 13125-9 
 13163- 
 
 13129.6113133.3 
 13166.7113170.4 
 
 I3I37. 
 I3I74-I 
 
 13140.7 
 13177.8 
 
 13144.4 
 13181.5 
 
 356 
 
 13185.2 13188.9 13192.6 13196.3 
 
 13200. 
 
 13203.7 
 
 13207.4113211.1 
 
 13214.8 
 
 13218.5 
 
 357 
 
 13222.2 13225.9 
 
 13229.613233.3:13237. 
 
 13240.7 132444 
 
 13248.1 
 
 13251.9 
 
 13255-6 
 
 358 
 
 13259.3 13263. 
 
 13266.7 13270.4 
 
 13274.1 
 
 13277.8 I328I.5 
 
 13285.2 
 
 13288.9 
 
 13292.6 
 
 359 
 
 13296.3 13300. 
 
 I333-7| I 33O74 \ I 33 11 - 1 *33 1.4-8 j 1331 8. 5 
 
 13322.2 
 
 133259 
 
 13329-6 
 
 3 6o 
 
 13333-3 13337- 
 
 13340.7 13344-4 
 
 I3348.I 
 
 !335i-9 !3355-6 
 
 13359-3 
 
 13363. 
 
 13366.7 
 
 
 13370.4 I3374-I 
 
 13377-8 
 
 I338I.5! 
 
 13385-2 
 
 13388.9 13392-6 
 
 13396-3 
 
 13400. 
 
 I3403-7 
 
 362 
 
 13407.413411.1 
 
 13414.8 
 
 13418.5; 
 
 13422.2 
 
 13425-9 
 
 13429.6 
 
 13433-3 
 
 13437- 
 
 13440.7 
 
 363 
 
 134444 
 
 13448.1 
 
 I345L9 
 
 I3455-6: 
 
 13459-3 
 
 13463- 
 
 13466.7113470.4 
 
 13474.1113477.8 
 
 364 
 
 13481.5113485.2 
 
 13488.9 
 
 13492.6 
 
 13496.3 
 
 13500. 
 
 13503.7 
 
 I3507-4 
 
 I35H.I 
 
 I35I4.8 
 
 365 
 
 13518.5 
 
 13522.2 
 
 13525.9 
 
 13529.6 
 
 13533-3 
 
 13537. 
 
 135407 
 
 13544-4 
 
 13548.1113551.9 
 
 366 
 
 13555-6 
 
 13559-3 
 
 13563- 
 
 13566.7 
 
 13570.4 I3574.I 
 
 13577.8 
 
 13581.5 
 
 13585-2 
 
 13588.9 
 
 367 
 
 13592.6 
 
 13596.3 
 
 13600. 
 
 13603.7113607.4 
 
 13611.1 13614.8 
 
 13618.5 
 
 13622.2 
 
 13625.9 
 
 368 
 
 13629.6 
 
 13633-3 
 
 13637- 
 
 13640.7 
 
 13644.4 13648.1 
 
 13651.9113655.6 
 
 13659-3 
 
 13663. 
 
 369 
 
 13666.7 
 
 13670.4 
 
 13674.1 
 
 13677-8 
 
 13681.5113685.2 
 
 13688.9 
 
 13692.6 
 
 13696.3 
 
 13700. 
 
 370 
 
 13703-7 
 
 137074 
 
 13711.1 
 
 13714-8 
 
 13718.5 13722.2 
 
 13725.9 
 
 13729.6 13733.3 
 
 13737- 
 
 37 1 
 
 13740.7 
 
 137444 
 
 13748.1 
 
 I375L9 
 
 I3755.6JI3759-3I3763. 
 
 13766.7 
 
 13770.4 
 
 I3774-I 
 
 372 
 
 13777-8 
 
 13781.5 
 
 13785-2 13788.9 
 
 13792.6113796.3 13800. 
 
 13803 7 
 
 13807.4 
 
 13811.1 
 
 373 
 
 13814.8 
 
 13818.5 
 
 13822.2 13825.9 
 
 13829.6 
 
 13833.3 
 
 13837. 
 
 13840.7113844.4 
 
 13848.1 
 
 374 13851-9 
 375 113888.9 
 
 13855.6113859.3 13863. 1 13866.7 13870.4 13874.1 
 13892.6113896.3 13900- 13903-7 139074 I39H. ! 
 
 13877.8 
 13914.8 
 
 13881.5 
 I39I8.5 
 
 13885.2 
 .13922.2 
 
 376 13925-9 
 
 13929.6 13933.3 
 
 13937- 13940.7 
 
 13944-4 
 
 I3948.I 
 
 I395L9 
 
 13955-6 
 
 13959-3 
 
 377 13963- 
 
 13966.7 13970.4 
 
 I3974.i|i3977.8 
 
 13981-5 
 
 13985-2 
 
 13988.9 
 
 13992.6 
 
 13996.3 
 
 378 14000. 
 
 14003.7 
 
 14007.4 14011.1 
 
 14014.8114018.5 
 
 14022.2 
 
 14025.9 
 
 14029.6 14033.3 
 
 379 ! 14037. 
 
 14040.7 
 
 14044.4 14048.1 14051.9 
 
 14055.6 
 
 14059-3 
 
 14063. 
 
 14066.7 
 
 14070.4 
 
 380 14074.1 
 
 14077.8 
 
 14081.5 
 
 14085.2 
 
 14088.9 
 
 14092.6 
 
 14096.3 
 
 14100. 
 
 14103.7 
 
 ; 14107.4, 
 
 381 14111.1 
 
 14114.8 
 
 14118.5 
 
 14122.2 
 
 14125.9 
 
 14129.6 
 
 I4I33.3 
 
 14137.4114140.7 14144-4 
 
 382 114148.1 
 
 14151.9 
 
 I4I55.6 
 
 I4I59.3 
 
 14163- 
 
 14166.7 
 
 14170.4 
 
 14174.1 
 
 14177.8 
 
 14181.5 
 
 383 14185-2 
 
 14188.9 
 
 14192.6 
 
 14196.3 
 
 14200. 
 
 14203.714207.4114211.1 
 
 14214.8 
 
 ;i42i8.5 
 
 384114222.2 
 385 1,14259-3 
 386 114296.3 
 
 14225.9 
 14263. 
 14300. 
 
 14229.6 
 14266.7 
 14303-7 
 
 14233.3 14237. 
 14270.4 14274.1 
 14307.414311.1 
 
 14240.7 
 
 14277-8 
 I43I4.8 
 
 14244.4 14248.1,14251.9 14255.6 
 14281.5 14285.2 14288.9 14292.6 
 14318.5 14322.2! 14325.9^14329.6 
 
 387 
 
 14333.3 
 
 14337- 
 
 14340.7 143444 
 
 14348.1 
 
 I435I-9 
 
 14355-6 
 
 14359.3 
 
 14363. 
 
 14366.7 
 
 388 
 
 14370.4 
 
 I4374-I 
 
 14377.8 14381.5 
 
 14385-2 
 
 14388.9 
 
 14392.6 14396.3 
 
 14400. 
 
 114403.7 
 
 389 
 
 14407.4 
 
 14411.1 14414.8 14418.5 
 
 14422.2 
 
 14425.9 
 
 14429.6114433-3 
 
 I4437- 
 
 14440.7 
 
 390 
 
 14444.4 
 
 14448.1 14451-9 
 
 14455.6114459.3 
 
 14463. 
 
 14466.7 
 
 14470.4 
 
 14474.1 
 
 14477.8 
 
 
 14481.5 
 
 14485.2 14488.9 14492 6 
 
 14496.3 
 
 14500. 
 
 14503.7 
 
 14507.4 
 
 I45H.I 
 
 14514-8 
 
 392 
 393 
 
 14518.5 
 14555-6 
 
 14522.2 14525-9 
 14559.3 14563. 
 
 14529.614533.314537. 
 14566.7114570.4 14574.1 
 
 14540.7 
 
 14577.8 
 
 14544-4 
 14581.5 
 
 I4548.J 
 14585-2 
 
 I455L9 
 
 14588.9 
 
 394 
 
 14592-6 
 
 14596.3 14600. 
 
 14603.7 
 
 14607.4 
 
 14611.1 
 
 14614.8 
 
 14618.5 
 
 14622.2 14625.9 
 
 395 114629.6 
 396114666.7 
 
 14633.3 14637- 
 14670.4 14674.1 
 
 14640.7 146444 14648-1 
 14677.8; 14681.5] 14685.2 
 
 14651.9 14655.6 
 14688.9 14692.6 
 
 14659-3 
 14696-3 
 
 ! 14663. 
 14700. 
 
 397 14703-7 147074 I47II-I 
 
 14714.8 
 
 14718.5 
 
 14722.2 14725-9 
 
 14729.6 
 
 14733.3 
 
 : 14737. 
 
 398114740.7 
 
 14744.4 
 
 14748.1 
 
 I475L9 
 
 14755-6 
 
 14759-3 
 
 14763. 
 
 14766.7 
 
 14770.4 
 
 14774.1 
 
 399IM777-8 
 
 14781.5 
 
 14785.2 
 
 14788.9 
 
 14792.6 
 
 14796.3 
 
 14800. 
 
 14803.7 
 
 14807.4 
 
 14811.1 
 
 400 14814.8 
 
 14818.5 
 
 14822.2 14825.9 
 
 14829.6 
 
 14833.3 
 
 14837. 
 
 14840.7 
 
 14844.4 
 
 14848.1 
 
 1 * 
 
 i. 
 
 2. 
 
 3- 
 
 4- 
 
 5. 
 
 6, 
 
 7- 
 
 8. 
 
 9. 
 
56 
 
 TABLE Ko. 5. 
 
 Minus Corrections corresponding to N~~N , or n~n , and general for 
 all side slopes. For computation by average Areas. 
 
 Difference of Correction numbers in feet and tenths in left column and 
 at top ; Correction in cubic yards for 100 ft. in body of Table. 
 
 ! *J , 
 
 
 
 
 i 
 
 
 
 
 
 V 
 
 
 
 0. 
 
 i. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9- 
 
 o 
 
 0.0 0.0 
 
 00 
 
 O.I 
 
 O.I 0.2 
 
 0.2 
 
 0-3 
 
 0.4 
 
 0-5 
 
 i 
 
 0.6 
 
 0.7 
 
 0.9 
 
 I.O 
 
 1.2 
 
 1.4 
 
 1.6 
 
 1.8 
 
 2.0 
 
 2.2 
 
 2 
 
 2-5 
 
 2-7 
 
 3-0 
 
 3-3 
 
 3-6 
 
 3-9 
 
 4-2 
 
 4-5 
 
 4.8 
 
 5-2 
 
 3 
 
 5-6 
 
 5-9 
 
 6-3 
 
 6-7 
 
 7.1 
 
 7-6 
 
 8.0 
 
 8-5 
 
 8.9 
 
 94 
 
 4 
 
 99 
 
 10.4 
 
 10.9 
 
 11.4 
 
 12.0 
 
 12.5 
 
 13.1 
 
 13.6 
 
 14.2 
 
 14.8 
 
 5 
 
 154 
 
 .16.1 
 
 16.7 
 
 17-3 
 
 iS.o 
 
 18.7 
 
 19.4 
 
 20.1 
 
 20.8 
 
 21-5 
 
 6 
 
 22.2 
 
 23.0 
 
 23-7 
 
 245 
 
 25.3 
 
 26.1 
 
 26.9 
 
 27.7 
 
 28.5 
 
 29.4 
 
 7 
 
 3O.2 
 
 3i.i 
 
 32.0 
 
 32-9 
 
 33-8 
 
 34-7 
 
 35-7 
 
 36.6 
 
 37-6 
 
 38.5 
 
 8 
 
 39-5 
 
 40.5 
 
 41-5 
 
 42-5 
 
 43-6 
 
 44-6 
 
 45-7 
 
 46.7 
 
 47-8 
 
 48.9 
 
 9 
 
 50.0 
 
 5i. i 
 
 52.2 
 
 534 
 
 54-5 
 
 55-7 
 
 56.9 
 
 58.1 
 
 59-3 
 
 60.5 
 
 10 
 
 61.7 
 
 63.0 
 
 64.2 
 
 65o 
 
 66.8 
 
 68.1 
 
 69.4 
 
 70.7 72.0 
 
 73-3 
 
 ii 
 
 74-7 
 
 76.1 
 
 774 
 
 78.8 
 
 80.2 
 
 81.6 
 
 83-1 
 
 84-5 
 
 86.0 
 
 874 
 
 12 
 
 88.9 
 
 90.4 
 
 91.9 
 
 934 
 
 94-9 
 
 96.5 
 
 98.0 
 
 99-6 
 
 IOI.I 
 
 102.7 
 
 *3 
 
 104.3 
 
 105.9 
 
 107.6 
 
 109.2 
 
 1 10.8 
 
 112.5 
 
 114.2 
 
 H5.9 
 
 117.6 
 
 II9-3 
 
 
 I2I.O 
 
 122.7 
 
 124-5 
 
 126.2 
 
 128.0 
 
 129.8 
 
 131.6 
 
 1334 
 
 135.2 
 
 137-0 
 
 15 
 
 138.9 
 
 140.7 
 
 142.6 
 
 144-5 
 
 146.4 
 
 148.3 
 
 150.2 
 
 152.2 
 
 I54-I 
 
 156.1 
 
 16 
 
 158.0 
 
 160.0 
 
 162.0 
 
 164.0 
 
 166.0 
 
 168.1 
 
 170.1 
 
 172.2 
 
 174.2 
 
 176.3 
 
 17 
 
 178.4 
 
 180.5 
 
 182.6 
 
 184.7 
 
 186.9 
 
 189.0 
 
 191.2 
 
 1934 
 
 195.6 
 
 197.8 
 
 18 
 
 2OO.O 
 
 2O2.2 
 
 204.5 
 
 206.7 
 
 209.0 
 
 211.3 
 
 213.6 
 
 215-9 
 
 218.2 
 
 220.5 
 
 19 
 
 222.8 
 
 225.2 
 
 227.6 
 
 229.9 
 
 232.3 
 
 234.7 
 
 237.1 
 
 239.6 
 
 242.0 
 
 2445 
 
 20 
 
 246.9 
 
 249.4 
 
 251.9 
 
 2544 
 
 256.9 
 
 2594 
 
 262.0 
 
 264-5 
 
 267.1 
 
 269.6 
 
 21 
 
 272.2 
 
 274.8 
 
 2774 
 
 280.1 
 
 282.7 
 
 285.3 
 
 288.0 
 
 290.7 
 
 2934 
 
 296.1 
 
 22 
 
 298.8 
 
 301-5 
 
 304-2 
 
 307-0 
 
 309-7 
 
 312.5 
 
 315.3 
 
 318.1 
 
 320.9 
 
 323-7 
 
 23 
 
 326.5 
 
 3294 
 
 332.2 
 
 335-1 
 
 338.0 
 
 340-9 
 
 343-8 
 
 346.7 
 
 349-7 
 
 352.6 
 
 24 
 
 355-6 
 
 358.5 
 
 361.5 
 
 364-5 
 
 
 370.5 
 
 373-6 
 
 376.6 
 
 379-7 
 
 382.7 
 
 25 
 
 385/8 
 
 388.9 
 
 392.0 
 
 395-1 
 
 398.2 
 
 401.4 
 
 404-5 
 
 407.7 
 
 410.9 
 
 414.1 
 
 26 
 
 417-3 
 
 420.5 
 
 4237 
 
 427.0 
 
 430.2 
 
 433-5 
 
 436.8 
 
 440.1 
 
 4434 
 
 446.7 
 
 27 
 
 450.0 
 
 453-3 
 
 456.7 
 
 460.1 
 
 4634 
 
 466.8 
 
 470.2 
 
 473-6 
 
 477-1 
 
 480.5 
 
 28 484.0 
 
 487.4 
 
 490.9 
 
 494-4 
 
 497-9 
 
 5014 
 
 504-9 
 
 508.5 
 
 512.0 
 
 515-6 
 
 29 
 
 5I9-I 
 
 522.7 
 
 526.3 
 
 529-9 
 
 533-6 
 
 537-2 
 
 540.8 
 
 544-5 
 
 548.2 
 
 551-9 
 
 30 
 
 555-6 
 
 559-3 
 
 563-0 
 
 566.7 
 
 570.5 
 
 574.2 
 
 578.0 
 
 581.8 
 
 585-6 
 
 5894 
 
 31 
 
 593-2 
 
 597-0 
 
 600.9 
 
 604.7 
 
 608.6 
 
 612.5 
 
 616.4 
 
 620.3 
 
 624.2 
 
 628.2 
 
 32 
 
 632.1 
 
 636.1 
 
 640.0 
 
 644.0 
 
 648.0 
 
 652.0 
 
 656.0 
 
 660.1 
 
 664.1 
 
 668.2 
 
 33 
 
 672.2 
 
 676.3 
 
 680.4 
 
 684.5 
 
 688.6 
 
 692.7 
 
 696.9 
 
 701.0 
 
 705.2 
 
 709.4 
 
 34 
 
 713.6 
 
 717-8 
 
 722.0 
 
 726.2 
 
 730.5 
 
 734-7 
 
 739-0 
 
 743-3 
 
 747.6 
 
 7519 
 
 35 
 
 756.2 
 
 760.5 
 
 764.8 
 
 769.2 
 
 773-6 
 
 777-9 
 
 782.3 
 
 786.7 
 
 791.1 
 
 795-6 
 
 36 
 
 800.0 
 
 804.5 
 
 808.9 
 
 813-4 
 
 817.9 
 
 822.4 
 
 826.9 
 
 831.4 
 
 836.0 
 
 840.5 
 
 37 
 
 845.1 
 
 849.6. 
 
 854.2 
 
 858.8 
 
 8634 
 
 868.1 
 
 872.7 
 
 877-3 
 
 882.0 
 
 886.7 
 
 38 
 
 891.4 
 
 896.1 
 
 900.8 
 
 905.5 
 
 910.2 
 
 915.0 
 
 919.7 
 
 9 2 4-5 
 
 929-3 
 
 934-1 
 
 39 
 
 938.9 
 
 943-7 
 
 943.5 
 
 9534 
 
 958.2 
 
 963.1 
 
 968.0 
 
 972.9 
 
 977-8 
 
 982.7 
 
 40 
 
 987.7 
 
 992.6 
 
 997-6 
 
 1002.5 
 
 1007.5 
 
 1012.5 
 
 1017.5 
 
 1022.5 
 
 1027.6 
 
 1032.6 
 
 41 
 
 1037-7 
 
 1042.7 
 
 1047.8 
 
 1052.9 
 
 1058.0 
 
 1063.1 
 
 1068.2 
 
 10734 
 
 1078.5 
 
 1083.7 
 
 42 
 
 1088.9 
 
 1094.1 
 
 1099.3 
 
 1104.5 
 
 1109.7 
 
 1115.0 
 
 II2O.2 
 
 1125.5 
 
 1130.8 
 
 1136.1 
 
 43 
 
 1141.4 
 
 1146.7 
 
 1152.0 1157.3 
 
 1162.7 
 
 1168.1 
 
 II734 
 
 1178.8 1184.2 
 
 1189.6 
 
 44 
 
 1195.1 
 
 1200.5 
 
 1206.0 
 
 1211.4 
 
 1216.9 
 
 12224 
 
 1227.9 
 
 1233.4 1238.9 
 
 1244-5 
 
 45 
 
 1250.0 
 
 1255-6 
 
 1261.1 
 
 1266.7 
 
 1272.3 
 
 1277.9 
 
 1283.6 
 
 1289.2 1294.8 
 
 1300.5 
 
 46 
 
 1306.2 
 
 1311.9 
 
 1317-6 
 
 1323-3 
 
 1329-0 
 
 1334-7 
 
 1340.5 
 
 1346.2 1352.0 
 
 1357-8 
 
 47 
 
 1363.6 
 
 1369.4 
 
 1375-2 
 
 1381.0 
 
 1386.9 
 
 1392.7 
 
 1398.6 
 
 1404.5 1410.4 
 
 1416.3 
 
 48 
 
 1422.2 
 
 1428.2 
 
 I434-I 
 
 1440.1 
 
 1446.0 
 
 1452-0 
 
 1458.0 
 
 1464.0 | 1470.0 
 
 1476.1 
 
 49 
 
 1482.1 
 
 1488.2 
 
 1494.2 
 
 1500.3 
 
 1506.4 
 
 1512.5 
 
 I5I8.6 
 
 1524-7 
 
 1530.9 
 
 1537-0 
 
 50 
 
 1543-2 
 
 15494 
 
 1555-6 
 
 1561.8 
 
 1568.0 
 
 1574-2 
 
 1580.5 
 
 1586.7 
 
 1593-0 
 
 1599.3 
 
 
 0. 
 
 i. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9- 
 
57 
 
 TABLE No. 5 CONCLUDED. 
 
 Minus Corrections corresponding to JV~ JV r , or n~n , and general for 
 all side slopes. For confutation by average Areas. 
 
 Difference of Correction numbers in feet and tenths in left column and 
 at top / Correction in cubic yards for 100 ft. in body of Table. 
 
 < *J 
 
 
 
 
 
 \ 
 
 II 
 
 .0 
 
 
 3 
 
 4 
 
 .5 -6 
 
 7 -8 
 
 Q 
 
 51 
 
 1605.6 
 
 1611.9 
 
 1618.2 
 
 1624.5 
 
 1630.8 
 
 1637.2 
 
 1643.6 
 
 1649.9 !656.3 i 1662.7 
 
 52 
 
 1669.1 
 
 1675.6 
 
 1682.0 1688.5 
 
 1694.9 1701.4 
 
 1707.9 
 
 1714.4 1720.9 
 
 1727.4 
 
 53 
 
 1734-0 
 
 1740.5 1747.1 1753.6 
 
 1760.2 
 
 1766.8 
 
 1773-4 
 
 1780.1 
 
 1786.7 
 
 1793.3 
 
 54 
 
 1 800.0 
 
 1806.7 1813.4 
 
 1820.1 
 
 1826.8 
 
 T833-5 
 
 1840.2 
 
 1847.0 
 
 1853-7 
 
 1860.5 i 
 
 55 
 
 1867.3 
 
 1874.1 1880.9 1887.7 
 
 1894.5 
 
 1901.4 
 
 1908.2 
 
 1915.1 
 
 1922.0 
 
 1928.9 
 
 56 
 
 1935.8 
 
 1942.7 ! 1949.7 
 
 1956.6 
 
 1963.6 1970.5 
 
 I977.5 
 
 1984.5 
 
 I99L5 
 
 1998.5 
 
 57 
 
 2005.6 
 
 2OI2.6 
 
 2019.7 
 
 2026.7 
 
 2033.8 
 
 2040.9 
 
 2048.0 
 
 2055-1 
 
 2062.2 
 
 2069.4 
 
 58 
 
 2076.5 
 
 2083.7 
 
 2090.9 
 
 2098.1 
 
 2105.3 
 
 2112.5 
 
 2119.7 
 
 2127.0 
 
 2134-2 
 
 2141.5 
 
 59 
 
 2148.8 
 
 2I56.I 
 
 2163.4 
 
 2170.7 
 
 2178.0 
 
 2185.3 
 
 2192.7 
 
 2 2OO. I 
 
 2207.4 
 
 2214.8 
 
 60 
 
 2222.2 
 
 2229.6 
 
 2237.1 
 
 2244-5 
 
 2252.0 
 
 2259.4 
 
 2266.9 
 
 22744 
 
 2281.9 
 
 2289.4 
 
 61 
 
 2296.9 
 
 2304.5 
 
 2312.0 
 
 2319.6 
 
 2327.1 
 
 2334-7 2342.3 
 
 2349-9 
 
 2357-6 
 
 2365.2 
 
 62 
 
 2372.8 
 
 2380.5 
 
 2388.2 
 
 2395-9 
 
 2403.6 
 
 2411.3 2419.0 
 
 2426.7 
 
 2434-5 
 
 2442.2 
 
 63 
 
 2450.0 
 
 2457-8 
 
 2465.6 
 
 2473-4 
 
 2481.2 
 
 2489.0 
 
 2496.9 
 
 2504.7 
 
 2512.6 
 
 2520.5 
 
 64 
 
 2528.4 
 
 2536.3 
 
 2544-2 
 
 2552.2 2560.1 
 
 2568.1 
 
 2576.0 
 
 2584-0 
 
 2592.0 
 
 2600.0 
 
 65 
 
 2608.0 
 
 26lO.I 
 
 2624.1 
 
 2632.2 2640.2 
 
 2648.3 
 
 2656.4 
 
 2664.5 
 
 2672.6 2680.7 
 
 66 
 
 2688.9 
 
 2697.0 
 
 2705.2 
 
 27134 
 
 2721.6 
 
 2729.8 
 
 2738-0 
 
 2746.2 
 
 2754.5 
 
 2762.7 
 
 67 
 
 2771.0 
 
 2779-3 
 
 2787.6 
 
 2795-9 
 
 2804.2 
 
 2812.5 
 
 2820.8 
 
 2829.2 
 
 2837.6 
 
 2845-9 
 
 68 
 
 2854-3 
 
 2862.7 
 
 2871.1 
 
 2879.6 
 
 2888.0 
 
 2896.5 
 
 2904.9 
 
 2913.4 
 
 2921.9 
 
 2930.4 
 
 69 
 
 2938.9 
 
 29474 
 
 2956.0 
 
 2964-5 
 
 2973.1 
 
 2981.6 
 
 2990.2 
 
 2998.8 30074 
 
 3016.1 
 
 70 
 
 3024.7 
 
 3033-3 
 
 3042.0 
 
 3050.7 
 
 3059-4 
 
 3068.1 
 
 3076.3 j 3085.5 j 3094.2 
 
 3103.0 
 
 71 
 
 3III.7 
 
 3120.5 
 
 3129-3 
 
 3I38.I 
 
 3146.9 
 
 3155.7 
 
 3164.5 3173.4 
 
 3182.2 
 
 3191.1 
 
 72 
 
 32OO.O 
 
 3203.9 
 
 3217.8 
 
 3226.7 
 
 3235.7 3244.6 
 
 3253.6 3262.5 
 
 3271.5 
 
 3280.5 
 
 73 
 
 3289.5 
 
 3298.5 
 
 3307.6 
 
 3316.6 
 
 3325.7 
 
 3334-7 
 
 3343-8 1 3352.9 
 
 3362.0 
 
 337I-I 
 
 74 
 
 3380.2 
 
 33S94 
 
 3398.5 
 
 3407.7 
 
 3416.9 
 
 3426.1 
 
 3435-3 i 3444-5 
 
 3453-7 
 
 3463-0 
 
 75 
 
 3472.2 
 
 3481.5 
 
 3490.8 
 
 35oo.i 
 
 3509.4 
 
 3518.7 
 
 3528.0 
 
 3537-3 
 
 3546.7 
 
 3556.1 
 
 76 
 
 3565-4 
 
 3574-8 
 
 3584-2 
 
 3593-6 
 
 3603.1 
 
 3612.5 
 
 3622.0 
 
 3631-4 
 
 3640.9 
 
 3650.4 
 
 77 
 
 
 3669.4 
 
 3678.9 
 
 3688.5 
 
 3698.0 
 
 3707.6 
 
 37I7-I 
 
 3726.7 
 
 3736.3 
 
 3745-9 
 
 78 
 
 3755-6 
 
 3765.2 
 
 3774-8 
 
 3784.5 
 
 3794-2 
 
 3803.9 
 
 3813-6 
 
 3823-3 
 
 3833-0 
 
 3842-7 
 
 79 
 
 3852.5 
 
 3862.2 
 
 3872.0 
 
 3881.8 
 
 3891.6 
 
 3901.4 
 
 3911-2 
 
 3921-0 
 
 3930.9 
 
 3940.7 
 
 80 
 
 3950.6 
 
 3960.5 
 
 3970.4 
 
 3980.3 
 
 3990.2 
 
 4000.2 4010.1 
 
 4020.1 
 
 4030.0 
 
 4040.0 
 
 81 
 
 4050.0 
 
 4060.0 ] 4070.0 
 
 4080.1 
 
 4090.1 
 
 4100.2 
 
 4110.2 
 
 4120.3 
 
 4130.4 
 
 4140.5 
 
 82 
 
 4150.6 
 
 4160.7 
 
 4170.9 
 
 4181.0 
 
 4191.2 
 
 4201.4 
 
 4211.6 i 4221.8 
 
 4232.0 
 
 4242.2 
 
 83 
 
 4252.5 
 
 4262.7 
 
 4273-0 
 
 4283.3 
 
 4293.6 
 
 4303.9 
 
 4314-2 4324.5 
 
 4334-8 
 
 4345-2 
 
 84 
 
 4355-6 
 
 4365-9 | 4376.3 
 
 4386.7 
 
 4397- 1 
 
 4407.6 
 
 4418.0 4428.5 
 
 4438.9 
 
 4449.4 
 
 85 
 
 4459-9 
 
 4470.4 4480.9 
 
 4491-4 
 
 4502.0 
 
 4512.5 
 
 4523.1 
 
 4533-6 
 
 4544.2 
 
 4554-8 
 
 86 
 
 45654 
 
 4576.1 
 
 4586.7 
 
 4597-3 
 
 4608.0 
 
 4618.7 
 
 4629.4 4640.1 
 
 4650.8 
 
 4661.5 
 
 87 
 
 4672.2 
 
 4683.0 
 
 4693-7 
 
 4704.5 
 
 47I5.3 
 
 4726.1 
 
 4736.9 4747-7 
 
 4758.5 
 
 47694 
 
 88 
 
 4780.2 
 
 4791-1 
 
 4802.0 
 
 4812.9 
 
 4823.8 
 
 4834.7 
 
 4845.7 
 
 4856.6 
 
 4867.6 
 
 4878.5 
 
 89 
 
 4889.5 
 
 4900.5 
 
 49H-5 
 
 4922.5 
 
 4933-6 
 
 4944.6 
 
 4955-7 
 
 4966.7 
 
 4977-8 
 
 4988.9 
 
 go 
 
 5000.0 
 
 5011.1 
 
 5022.2 
 
 50334 
 
 5044-5 
 
 5055.7 
 
 5066.9 
 
 5078.1 
 
 5089.3 
 
 5100.5 
 
 91 
 
 5IH-7 
 
 5123.0 5134.2 
 
 5145.5 
 
 5156.8 
 
 5168.1 
 
 5179-4 
 
 5190.7 
 
 5202.0 
 
 5213.3 
 
 ! 92 
 
 5224.7 
 
 5236.1 5247.4 
 
 5258.8 
 
 5270.2 
 
 5281.6 
 
 5293.1 
 
 5304.5 
 
 53i6.o 
 
 53274 
 
 93 
 
 5338.9 
 
 5350.4 1 5361.9 
 
 5373-4 
 
 5384.9 
 
 5396.5 
 
 5408.0 
 
 5419.6 
 
 543LI 
 
 5442.7 
 
 94 
 
 5454-3 
 
 5465-9 
 
 5477-6 
 
 5489-2 
 
 5500.8 
 
 5512.5 
 
 5524-2 
 
 5535-9 
 
 5547-6 
 
 5559-3 
 
 95 
 
 5571-0 
 
 5582.7 
 
 5594-5 
 
 5606.2 
 
 5618.0 
 
 5629.8 
 
 5641-6 
 
 56534 
 
 5665.2 
 
 5677.0 
 
 96 
 
 5688.9 5700.7 
 
 5712.6 
 
 5/24.5 
 
 5736.4 
 
 5748.3 
 
 5760.2 
 
 5772.2 
 
 5784.1 
 
 5796.1 
 
 1 97 
 
 5808.0 
 
 5820.0 
 
 5832.0 
 
 5844.0 
 
 5856.0 
 
 5868.1 
 
 5880.1 
 
 5892.2 
 
 5904.2 
 
 59 l6 .3 
 
 i 98 
 
 5928.4 
 
 5940.5 
 
 5952.6 
 
 5964.7 
 
 5976.9 
 
 5989-0 
 
 6001.2 
 
 6013.4 
 
 6025.6 
 
 6037.8 
 
 , 99 
 
 6050.0 
 
 6062.2 
 
 6074-5 
 
 6086.7 
 
 6099.0 
 
 6111.3 
 
 6123.6 
 
 6135-9 
 
 6148.2 
 
 6160.5 
 
 100 
 
 6172.8 
 
 6185.2 
 
 6197.6 
 
 6209.9 
 
 6222.3 
 
 6234.7 
 
 6247.1 
 
 6259.6 
 
 6272.0 
 
 6284.5 
 
 
 .0 
 
 ,z 
 
 .2 
 
 3 
 
 .4 
 
 5 
 
 .6 
 
 .7 
 
 .8 
 
 9 
 
58 
 
 TABLE No. 6. LEVEL CUTTINGS. s -^-=~; b=lQ feet. 
 
 A. 
 
 .0 
 
 .1 
 
 .2 .3 -4 -5 -6 
 
 7 .8 .9 j 
 
 o 
 
 o.o 
 
 5-9 
 
 11.9 
 
 17.8 23.8 
 
 29.8 
 
 35-8 
 
 41.8 
 
 47-9 
 
 53-9 
 
 I 
 
 60.0 
 
 66.1 
 
 72.2 
 
 78.3 
 
 84.4 
 
 90.6 
 
 96.7 
 
 102.9 
 
 109.1 
 
 II5-3 
 
 2 
 
 121.5 
 
 127.7 
 
 134-0 
 
 140.2 
 
 146.5 
 
 152.8 
 
 I59- 1 
 
 165.4 
 
 171.7 
 
 178.1 
 
 3 
 
 184.4 
 
 190.8 
 
 197.2 
 
 203.6 ! 2IO.O 
 
 216.5 
 
 222.9 
 
 229.4 
 
 235-9 
 
 242.4 
 
 4 
 
 248.9 
 
 255-4 
 
 262.0 
 
 268.5 275.1 
 
 281.7 
 
 288.3 
 
 294.9 
 
 301-5 
 
 308.2 
 
 5 
 
 314.8 
 
 321.5 
 
 328.2 
 
 334-9 
 
 341.6 
 
 348.3 
 
 355.1 
 
 361.8 
 
 368.6 
 
 375-4 
 
 6 
 
 382.2 
 
 389-0 
 
 395-9 
 
 402.7 
 
 409.6 
 
 416.5 
 
 4234 
 
 430-3 
 
 437-2 
 
 444-2 
 
 7 
 
 451.1 
 
 458.1 
 
 465.1 
 
 472.1 
 
 479.1 
 
 486.1 
 
 493-2 
 
 500.2 
 
 507-3 
 
 5M.4 
 
 8 
 
 521.5 
 
 528.6 
 
 535-7 
 
 542.9 
 
 550.0 
 
 557-2 
 
 5644 
 
 571-6 
 
 578.8 
 
 586.1 
 
 9 
 
 593-3 
 
 600.6 
 
 607.9 
 
 615.2 
 
 622.5 
 
 629.8 
 
 637-2 
 
 644-5 
 
 651.9 
 
 659-3 
 
 10 
 
 666.7 
 
 674.1 
 
 681.5 
 
 689.0 
 
 696.4 
 
 703.9 
 
 711.4 
 
 718.9 
 
 726.4 
 
 733-9 
 
 ii 
 
 741.5 
 
 749.0 
 
 756.6 
 
 764.2 
 
 771.8 
 
 779-4 
 
 787.1 
 
 794-7 
 
 802.4 
 
 Sio.i 
 
 12 
 
 817.8 
 
 825.5 
 
 833.2 
 
 841.0 
 
 848.7 
 
 856-5 
 
 864.3 
 
 872.1 
 
 879.9 
 
 887.7 
 
 13 
 
 895-6 
 
 9034 
 
 9H-3 
 
 919.2 
 
 927.1 
 
 935-0 
 
 942-9 
 
 950-9 
 
 958-8 
 
 966.8 
 
 14 
 
 974.8 
 
 982.8 
 
 990.8 
 
 998.9 
 
 1007 
 
 1015 
 
 1023 
 
 1031 
 
 1039 
 
 1047 
 
 15 
 
 1056 
 
 1064 
 
 1072 
 
 I080 
 
 1088 
 
 1096 
 
 1105 
 
 ni3 
 
 II2I 
 
 1129 
 
 16 
 
 1138 
 
 1146 
 
 H54 
 
 1163 
 
 1171 
 
 1179 
 
 1188 
 
 1196 
 
 1205 
 
 1213 
 
 17 
 
 1221 
 
 1230 
 
 1238 
 
 1247 
 
 1255 
 
 1264 
 
 1272 
 
 1281 
 
 1290 
 
 1298 
 
 18 
 
 1307 
 
 13*5 
 
 1324 
 
 1333 
 
 1341 
 
 1350 
 
 1358 
 
 1367 
 
 1376 
 
 1385 
 
 19 
 
 1393 
 
 1402 
 
 1411 
 
 1420 
 
 1428 
 
 1437 
 
 1446 
 
 1455 
 
 1464 
 
 1473 
 
 20 
 
 I 4 82 
 
 1490 
 
 1499 
 
 1508 
 
 1517 
 
 1526 
 
 1535 
 
 1544 
 
 1553 
 
 1562 
 
 21 
 
 1571 
 
 1580 
 
 1589 
 
 1598 
 
 1607 
 
 1616 
 
 1626 
 
 1635 
 
 1644 
 
 1653 
 
 22 
 
 l662 
 
 1671 
 
 1681 
 
 1690 
 
 1699 
 
 1708 
 
 1718 
 
 1727 
 
 1736 
 
 1745 
 
 23 
 
 1755 
 
 1764 
 
 1774 
 
 1783 
 
 1792 
 
 1802 
 
 1811 
 
 1821 
 
 1830 
 
 1839 
 
 24 
 
 1849 
 
 1858 
 
 1868 
 
 1877 
 
 1887 
 
 1896 
 
 1906 
 
 1916 
 
 1925 
 
 1935 
 
 25 
 
 1944 
 
 1954 
 
 1964 
 
 1973 
 
 1983 
 
 1993 
 
 2OO2 
 
 2012 
 
 2022 
 
 2032 
 
 25 
 
 2041 
 
 2051 
 
 2061 
 
 2071 
 
 2081 
 
 2091 
 
 2IOO 
 
 2110 
 
 2I2O 
 
 2130 
 
 27 
 
 2I4O 
 
 2150 
 
 2160 
 
 2I"O 
 
 2180 
 
 2190 
 
 2200 
 
 22IO 
 
 222O 
 
 2230 
 
 23 
 
 224O 
 
 2250 
 
 2260 
 
 2270 
 
 2280 
 
 2291 
 
 23OI 
 
 23H 
 
 2321 
 
 233i 
 
 29 
 
 2341 
 
 2352 
 
 2362 
 
 2372 
 
 2382 
 
 2393 
 
 2403 
 
 2413 
 
 2424 
 
 2434 
 
 3 
 
 2444 
 
 2455 
 
 2465 
 
 2476 
 
 2486 
 
 2496 
 
 2507 
 
 2517 
 
 2528 
 
 2538 
 
 3 1 
 
 2549 
 
 2559 
 
 2570 
 
 2581 
 
 259 1 
 
 2602 
 
 2612 
 
 2623 
 
 2634 
 
 2644 
 
 S 2 
 
 2655 
 
 2665 
 
 2676 
 
 2687 
 
 2698 
 
 2708 
 
 2719 
 
 2730 
 
 2741 
 
 2751 
 
 33 
 
 2762 
 
 2773 
 
 2784 
 
 2795 
 
 2806 
 
 2816 
 
 2827 
 
 2838 
 
 2849 
 
 2860 
 
 34 
 
 2871 
 
 2882 
 
 2893 
 
 2904 
 
 2915 
 
 2926 
 
 2937 
 
 2948 
 
 2959 
 
 2970 
 
 35 
 
 2981 
 
 2993 
 
 3004 
 
 3015 
 
 3026 
 
 3037 
 
 3048 
 
 3060 
 
 3071 
 
 3082 
 
 36 
 
 3093 
 
 3105 
 
 3116 
 
 3127 
 
 3138 
 
 3150 
 
 3l6l 
 
 3173 
 
 3184 
 
 3195 
 
 37 
 
 3207 
 
 3218 
 
 3230 
 
 3241 
 
 3252 
 
 3264 
 
 3275 
 
 3287 
 
 3298 
 
 33io 
 
 38 
 
 3321 
 
 3333 
 
 3345 
 
 3356 
 
 3368 
 
 3379 
 
 3391 
 
 3403 
 
 3414 
 
 3426 
 
 39 
 
 3433 
 
 3449 
 
 346i 
 
 3473 
 
 3485 
 
 3496 
 
 3508 
 
 3520 
 
 3532 
 
 3544 
 
 40 
 
 3556 
 
 3567 
 
 3579 
 
 358i 
 
 3593 
 
 3605 
 
 3617 
 
 3629 
 
 3641 
 
 3653 
 
 4i 
 
 3675 
 
 3687 
 
 3699 
 
 37ii 
 
 3723 
 
 3735 
 
 3747 
 
 3759 
 
 3771 
 
 3783 
 
 42 
 
 3796 
 
 3808 
 
 3820 
 
 3832 
 
 3844 
 
 3856 
 
 3869 
 
 3881 
 
 3893 
 
 3905 
 
 43 
 
 39i3 
 
 3930 
 
 3942 
 
 3955 
 
 3967 
 
 3979 
 
 3992 
 
 4004 
 
 4017 
 
 4029 
 
 44 
 
 4041 
 
 4054 
 
 4066 
 
 4079 
 
 4091 
 
 4104 
 
 4116 
 
 4129 
 
 4142 
 
 4154 
 
 45 
 
 4167 
 
 4179 
 
 4192 
 
 4205 
 
 4217 
 
 4230 
 
 4242 
 
 4255 
 
 4268 
 
 4281 
 
 46 
 
 4293 
 
 4306 
 
 4319 
 
 4332 
 
 4344 
 
 4357 
 
 4370 
 
 4383 
 
 4396 
 
 4409 
 
 47 
 
 4421 
 
 4434 
 
 4447 
 
 4460 
 
 4473 
 
 4486 
 
 4499 
 
 4512 
 
 4525 
 
 4538 
 
 48 
 
 4551 
 
 4564 
 
 4577 
 
 4590 
 
 4603 
 
 4616 
 
 4630 
 
 4643 
 
 4656 
 
 4669 
 
 49 
 
 4682 
 
 4695 
 
 4709 
 
 4722 
 
 4735 
 
 4748 
 
 4762 
 
 4775 
 
 4788 
 
 4801 
 
 5 
 
 4815 
 
 4828 
 
 4842 
 
 4855 
 
 4868 
 
 4882 
 
 4895 
 
 4909 
 
 4922 
 
 4935 
 
 5i 
 
 4949 
 
 4962 
 
 4976 
 
 4989 
 
 5003 
 
 5016 
 
 5030 
 
 5044 
 
 5057 
 
 5071 
 
 52 
 
 5084 
 
 5098 
 
 5H2 
 
 5125 
 
 5139 
 
 5153 
 
 5166 
 
 5180 
 
 5194 
 
 5208 
 
 53 
 
 5221 
 
 5235 
 
 5249 
 
 5263 
 
 5277 
 
 5291 
 
 5304 
 
 53i8 
 
 5332 
 
 5346 
 
 54 
 
 536o 
 
 5374 
 
 5388 
 
 5402 
 
 54i6 
 
 5430 
 
 5444 
 
 5458 
 
 5472 
 
 5486 
 
 55 
 
 5500 
 
 5514 
 
 5528 
 
 5542 
 
 5556 
 
 5571 
 
 5585 
 
 5599 
 
 5613 
 
 5627 
 
 56 
 
 5641 
 
 5656 
 
 5670 
 
 5684 
 
 5698 
 
 5713 
 
 5727 
 
 574i 
 
 5756 
 
 5770 
 
 57 
 
 5784 
 
 5799 
 
 58i3 
 
 5828 
 
 5842 
 
 5856 
 
 5871 
 
 5885 
 
 5900 
 
 5914 
 
 58 
 
 5929 
 
 5943 
 
 5958 
 
 5973 
 
 5987 
 
 6002 
 
 6016 
 
 6031 
 
 6046 
 
 6060 
 
 59 
 
 6075 
 
 6089 
 
 6104 
 
 6119 
 
 6i34 
 
 6148 
 
 6163 
 
 6178 
 
 6193 
 
 6207 
 
 60 
 
 6222 
 
 6237 
 
 6252 
 
 6267 
 
 6282 
 
 6296 
 
 6311 
 
 6326 
 
 6341 
 
 6356 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 .7 
 
 .8 
 
 9 
 
59 
 
 TABLE No. 7. LEVEL CUTTINGS. --=~- b=2S feet. 
 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 f 
 
 .4 
 
 5 
 
 .6 
 
 7 
 
 .8 
 
 -9 
 
 
 
 0.0 
 
 10.4 
 
 20.8 
 
 31-2 
 
 41.6 
 
 52.0 
 
 62.5 
 
 73-0 
 
 83-4 
 
 93-9 
 
 I 
 
 104.4 
 
 115.0 
 
 125.5 
 
 136.1 
 
 146.6 
 
 157-2 
 
 167.8 
 
 178.4 
 
 189.1 
 
 199.7 
 
 2 
 
 210.4 
 
 221.0 
 
 231.7 
 
 242.4 
 
 253-2 
 
 263.9 
 
 274.6 
 
 2854 
 
 296.2 
 
 307-0 
 
 3 
 
 317.8 
 
 328.6 
 
 339-4 
 
 350.3 
 
 361.2 
 
 372.0 
 
 382.9 
 
 393-8 
 
 404.8 
 
 4T5.7 
 
 4 
 
 426.7 
 
 437-6 
 
 448.6 
 
 459-6 
 
 470.6 
 
 481.7 
 
 492-7 
 
 503-8 
 
 514.8 
 
 525-9 
 
 5 
 
 537-0 
 
 548.2 
 
 559-3 
 
 570.4 
 
 581.6 
 
 592-8 
 
 604.0 
 
 615.2 
 
 626.4 
 
 637-6 
 
 6 
 
 648.9 
 
 660.2 
 
 671.4 
 
 682.7 
 
 694.0 
 
 7054 
 
 716.7 
 
 728.1 
 
 739-4 
 
 750.8 
 
 7 
 
 762.2 
 
 773-6 
 
 785-1 
 
 796.5 
 
 808.0 
 
 819.4 
 
 830.9 
 
 842.4 
 
 854.0 
 
 865.5 
 
 8 
 
 877.0 
 
 888.6 
 
 900.2 
 
 911.8 
 
 9234 
 
 935-0 
 
 946.6 
 
 958.3 
 
 970.0 
 
 981.6 
 
 9 
 
 993-3 
 
 1005 
 
 1017 
 
 1029 
 
 1040 
 
 1052 
 
 1064 
 
 1076 
 
 1087 
 
 1099 
 
 10 
 
 mi 
 
 1123 
 
 1135 
 
 1147 
 
 H59 
 
 1171 
 
 1182 
 
 1194 
 
 1206 
 
 1218 
 
 ii 
 
 1230 
 
 1242 
 
 1254 
 
 1266 
 
 1278 
 
 1291 
 
 1303 
 
 1315 
 
 1327 
 
 1339 
 
 12 
 
 1351 
 
 1363 
 
 1375 
 
 1388 
 
 1400 
 
 1412 
 
 1424 
 
 1437 
 
 1449 
 
 1461 
 
 I 3 
 
 1473 
 
 1486 
 
 1498 
 
 1510 
 
 1523 
 
 1535 
 
 1547 
 
 1560 
 
 1572 
 
 1585 
 
 14 
 
 1597 
 
 1609 
 
 1622 
 
 1634 
 
 1647 
 
 1659 
 
 1672 
 
 1685 
 
 1697 
 
 1710 
 
 15 
 
 1722 
 
 1735 
 
 1747 
 
 1760 
 
 1773 
 
 1785 
 
 1798 
 
 1811 
 
 1823 
 
 1836 
 
 16 
 
 1849 
 
 1862 
 
 1874 
 
 1887 
 
 1900 
 
 I9 X 3 
 
 1926 
 
 1938 
 
 1951 
 
 1964 
 
 17 
 
 1977 
 
 1990 
 
 2003 
 
 2016 
 
 2029 
 
 2042 
 
 2055 
 
 2068 
 
 2081 
 
 2094 
 
 18 
 
 2107 
 
 2120 
 
 2133 
 
 2146 
 
 2159 
 
 2172 
 
 2185 
 
 2198 
 
 2211 
 
 2225 
 
 19 
 
 2238 
 
 2251 
 
 2264 
 
 2277 
 
 2291 
 
 2304 
 
 2317 
 
 2330 
 
 2344 
 
 2357 
 
 20 
 
 2370 
 
 2384 
 
 2397 
 
 2410 
 
 2424 
 
 2437 
 
 2451 
 
 2464 
 
 2478 
 
 2491 
 
 21 
 
 2504 
 
 2518 
 
 253 1 
 
 2545 
 
 2558 
 
 2572 
 
 2586 
 
 2599 
 
 2613 
 
 2626 
 
 22 
 
 2640 
 
 2654 
 
 2667 
 
 2681 
 
 2695 
 
 2708 
 
 2722 
 
 2736 
 
 2750 
 
 2763 
 
 23 
 
 2777 
 
 2791 
 
 2805 
 
 2818 
 
 2832 
 
 2846 
 
 2860 
 
 2874 
 
 2888 
 
 2902 
 
 24 
 
 2916 
 
 2929 
 
 2943 
 
 2957 
 
 2971 
 
 2985 
 
 2999 
 
 3013 
 
 3027 
 
 3041 
 
 25 
 
 3056 
 
 3070 
 
 3084 
 
 3098 
 
 3112 
 
 3126 
 
 3140 
 
 3154 
 
 3169 
 
 3183 
 
 26 
 
 3197 
 
 3211 
 
 3226 
 
 3240 
 
 3254 
 
 3268 
 
 3283 
 
 3297 
 
 33ii 
 
 3326 
 
 27 
 
 3340 
 
 3354 
 
 3369 
 
 3383 
 
 3398 
 
 3412 
 
 3426 
 
 3441 
 
 3455 
 
 3470 
 
 28 
 
 3434 
 
 3499 
 
 35H 
 
 3528 
 
 3543 
 
 3557 
 
 3572 
 
 3586 
 
 3601 
 
 3616 
 
 29 
 
 3630 
 
 3645 
 
 3660 
 
 3674 
 
 3689 
 
 3704 
 
 3719 
 
 3733 
 
 3748 
 
 3763 
 
 30 
 
 3778 
 
 3793 
 
 3807 
 
 3822 
 
 3837 
 
 3852 
 
 3867 
 
 3882 
 
 3897 
 
 3912 
 
 31 
 
 39 2 7 
 
 3942 
 
 3957 
 
 3972 
 
 3987 
 
 4002 
 
 4017 
 
 4032 
 
 4047 
 
 4062 
 
 32 
 
 4077 
 
 4092 
 
 4107 
 
 4122 
 
 4138 
 
 4153 
 
 4168 
 
 4183 
 
 4198 
 
 4214 
 
 33 
 
 4229 
 
 4244 
 
 4259 
 
 4275 
 
 4290 
 
 4305 
 
 4321 
 
 4336 
 
 4351 
 
 4367 
 
 34 
 
 4382 
 
 4398 
 
 4413 
 
 4429 
 
 4444 
 
 4459 
 
 4475 
 
 4490 
 
 4506 
 
 4521 
 
 35 
 
 4537 
 
 4553 
 
 4568 
 
 4584 
 
 4599 
 
 46i5 
 
 4631 
 
 4646 
 
 4662 
 
 4678 
 
 36 
 
 4693 
 
 4709 
 
 4725 
 
 474i 
 
 4756 
 
 4772 
 
 4788 
 
 4804 
 
 4819 
 
 4835 
 
 37 
 
 4851 
 
 4867 
 
 4883 
 
 4899 
 
 4915 
 
 4931 
 
 4946 
 
 4962 
 
 4978 
 
 4994 
 
 38 
 
 5010 
 
 5026 
 
 5042 
 
 5058 
 
 50/4 
 
 5091 
 
 5107 
 
 5123 
 
 5139 
 
 5155 
 
 39 
 
 5i7i 
 
 5i87 
 
 5203 
 
 5220 
 
 5236 
 
 5252 
 
 5268 
 
 5285 
 
 5301 
 
 5317 
 
 40 
 
 5333 
 
 5350 
 
 5366 
 
 5382 
 
 5399 
 
 5415 
 
 5431 
 
 5448 
 
 5464 
 
 548i 
 
 41 
 
 5497 
 
 5513 
 
 5530 
 
 5546 
 
 5563 
 
 5579 
 
 5596 
 
 5613 
 
 5629 
 
 5646 
 
 42 
 
 5662 
 
 5679 
 
 5695 
 
 5712 
 
 5729 
 
 5745 
 
 5762 
 
 5779 
 
 5795 
 
 5812 
 
 43 
 
 5829 
 
 5846 
 
 5862 
 
 5879 
 
 5896 
 
 59*3 
 
 5930 
 
 5946 
 
 5963 
 
 5980 
 
 44 
 
 5997 
 
 6014 
 
 6031 
 
 6048 
 
 6065 
 
 6082 
 
 6099 
 
 6116 
 
 6i33 
 
 6150 
 
 45 
 
 6167 
 
 6184 
 
 6201 
 
 6218 
 
 6235 
 
 6252 
 
 6269 
 
 6286 
 
 6303 
 
 6321 
 
 46 
 
 6338 
 
 6355 
 
 6372 
 
 6389 
 
 6407 
 
 6424 
 
 6441 
 
 6458 
 
 6476 
 
 6493 
 
 47 
 
 6510 
 
 6528 
 
 6545 
 
 6562 
 
 6580 
 
 6597 
 
 6615 
 
 6632 
 
 6650 
 
 6667 
 
 48 
 
 6684 
 
 6702 
 
 6719 
 
 6737 
 
 6754 
 
 6772 
 
 6790 
 
 6807 
 
 6825 
 
 6842 
 
 49 
 
 6860 
 
 6878 
 
 6895 
 
 6913 
 
 6931 
 
 6948 
 
 6966 
 
 6984 
 
 7002 
 
 7019 
 
 50 
 
 7037 
 
 7055 
 
 7073 
 
 7090 
 
 7108 
 
 7126 
 
 7144 
 
 7162 
 
 7180 
 
 7198 
 
 5i 
 
 7216 
 
 7233 
 
 7251 
 
 7269 
 
 7287 
 
 7305 
 
 7323 
 
 7341 
 
 7359 
 
 7377 
 
 52 
 
 7396 
 
 7414 
 
 7432 
 
 7450 
 
 7468 
 
 7486 
 
 7504 
 
 7522 
 
 7541 
 
 7559 
 
 53 
 
 7577 
 
 7595 
 
 7614 
 
 7632 
 
 7650 
 
 7668 
 
 7687 
 
 7705 
 
 7723 
 
 7742 
 
 54 
 
 7760 
 
 7778 
 
 7797 
 
 7815 
 
 7834 
 
 7852 
 
 7870 
 
 7889 
 
 797 
 
 7926 
 
 55 
 
 7944 
 
 7963 
 
 7982 
 
 8000 
 
 8019 
 
 8037 
 
 8056 
 
 8074 
 
 8093 
 
 8112 
 
 56 
 
 8130 
 
 8i49 
 
 8168 
 
 8186 
 
 8205 
 
 8224 
 
 8243 
 
 8261 
 
 8280 
 
 8299 
 
 57 
 
 8318 
 
 8337 
 
 8355 
 
 8374 
 
 8393 
 
 8412 
 
 8431 
 
 8450 
 
 8469 
 
 8488 
 
 58 
 
 8507 
 
 8526 
 
 S545 
 
 8564 
 
 8583 
 
 8602 
 
 8621 
 
 8640 
 
 8659 
 
 8678 
 
 59 
 
 8697 
 
 8716 
 
 8735 
 
 8754 
 
 8774 
 
 8793 
 
 8812 
 
 8831 
 
 8850 
 
 8870 
 
 60 
 
 8889 
 
 8908 
 
 8927 
 
 8947 
 
 8966 
 
 8985 
 
 95 
 
 9024 
 
 943 
 
 9063 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 .4 
 
 i -5 
 
 .6 
 
 7 
 
 .8 
 
 9 
 
60 
 
 TABLE No. 8. 
 Plus Corrections for -i 5* 
 
 1 
 
 0. 
 
 i. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9- 
 
 o 
 
 0.0 
 
 0.0 
 
 0.0 
 
 0.0 
 
 0.0 
 
 o.o 
 
 
 o.o 
 
 o.o 
 
 o.o 
 
 O.I 
 
 I 
 
 O.I 
 
 O.I 
 
 O.I 
 
 O.I 
 
 O.I 
 
 O.I 
 
 0.2 
 
 0.2 
 
 0.2 
 
 0.2 
 
 2 
 
 0.3 
 
 0.3 
 
 03 
 
 0.3 
 
 0.4 
 
 0.4 
 
 0.4 
 
 0-5 
 
 0-5 
 
 0-5 
 
 3 
 
 0.6 
 
 0.6 
 
 0.6 
 
 0.7 
 
 0.7 
 
 0.8 
 
 0.8 
 
 0.9 
 
 0.9 
 
 O.Q 
 
 4 
 
 I.O 
 
 I.O 
 
 i.i 
 
 i.i 
 
 1.2 
 
 i-3 
 
 1-3 
 
 1.4 
 
 1.4 
 
 i-5 
 
 5 
 
 1-5 
 
 1.6 
 
 1-7 
 
 1-7 
 
 1.8 
 
 1.9 
 
 1.9 
 
 2.0 
 
 2.1 
 
 2.2 
 
 6 
 
 2.2 
 
 -2.3 
 
 2.4 
 
 2-5 
 
 2-5 
 
 2.6 
 
 2-7 
 
 2.8 
 
 2. 9 
 
 2.9 
 
 7 
 
 3-0 
 
 3-i 
 
 3-2 
 
 3-3 
 
 3-4 
 
 3-5 
 
 3-6 
 
 3.7 
 
 3-8 
 
 3.9 
 
 8 
 
 4.0 
 
 4.1 
 
 4.2 
 
 4.3 
 
 44 
 
 4-5 
 
 4.6 
 
 4.7 
 
 4.8 
 
 4.9 
 
 9 
 
 5-o 
 
 5-1 
 
 5-2 
 
 5-3 
 
 5-5 
 
 5-6 
 
 5-7 
 
 5-8 
 
 5-9 
 
 6.1 
 
 10 
 
 6.2 
 
 6-3 
 
 6.4 
 
 6.6 
 
 6.7 
 
 6.8 
 
 6.9 
 
 7-i 
 
 7-2 
 
 7-3 
 
 ii 
 
 7-5 
 
 7-6 
 
 7-7 
 
 7-9 
 
 8.0 
 
 8.2 
 
 8-3 
 
 8-5 
 
 8.6 
 
 8-7 
 
 12 
 
 8.9 
 
 9.0 
 
 9.2 
 
 9-3 
 
 9-5 
 
 9-7 
 
 9.8 
 
 10.0 
 
 10. 1 
 
 10.3 
 
 13 
 
 10.4 
 
 10.6 
 
 10.8 
 
 10.9 
 
 ii. I 
 
 H-3 
 
 11.4 
 
 n.6 
 
 n.8 
 
 11.9 
 
 14 
 
 12. 1 
 
 12.3 
 
 12.5 
 
 12.6 
 
 12.8 
 
 13-0 
 
 13-2 
 
 13-3 
 
 13-5 
 
 13.7 
 
 15 
 
 13-9 
 
 14.1 
 
 14-3 
 
 14-5 
 
 14.6 
 
 14.8 
 
 15-0 
 
 15-2 
 
 154 
 
 15.6 
 
 16 
 
 15-8 
 
 16.0 
 
 16.2 
 
 16.4 
 
 16.6 
 
 16.8 
 
 17.0 
 
 17.2 
 
 17.4 
 
 17.6 
 
 17 
 
 I 7 .8 
 
 iS.i 
 
 18.3 
 
 18.5 
 
 18.7 
 
 18.9 
 
 19.1 
 
 19-3 
 
 19.6 
 
 19.8 
 
 18 
 
 2O.O 
 
 20.2 
 
 20.5 
 
 20.7 
 
 20.9 
 
 21. 1 
 
 21.4 
 
 21.6 
 
 21.8 
 
 22.1 
 
 ig 
 
 22.3 
 
 22.5 
 
 22.8 
 
 23.0 
 
 23.2 
 
 23-5 
 
 23-7 
 
 24.0 
 
 24.2 
 
 24-5 
 
 20 
 
 24.7 
 
 24-9 
 
 25-2 
 
 25-4 
 
 25.7 
 
 25-9 
 
 26.2 
 
 26.5 
 
 26.7 
 
 27.0 
 
 21 
 
 27.2 
 
 27-5 
 
 27-7 
 
 28.0 
 
 28.3 
 
 28.5 
 
 28.8 
 
 29.1 
 
 29-3 
 
 29.6 
 
 22 
 
 29.9 
 
 30.2 
 
 30-4 
 
 30.7 
 
 31-0 
 
 31.3 
 
 31-5 
 
 31-8 
 
 32.1 
 
 324 
 
 23 
 
 32.7 
 
 32.9 
 
 33-2 
 
 33-5 
 
 33-8 
 
 34-1 
 
 34-4 
 
 34-7 
 
 35-0 
 
 35-3 
 
 24 
 
 35-6 
 
 35-9 
 
 36.2 
 
 36.5 
 
 36.8 
 
 37-1 
 
 37-4 
 
 37-7 
 
 38.0 
 
 38.3 
 
 25 
 
 38.6 
 
 38.9 
 
 39-2 
 
 39-5 
 
 39-8 
 
 40.1 
 
 40.5 
 
 40.8 
 
 41.1 
 
 41.4 
 
 26 
 
 41.7 
 
 42.1 
 
 42.4 
 
 42.7 
 
 43-0 
 
 434 
 
 43-7 
 
 44.0 
 
 44-3 
 
 44-7 
 
 27 
 
 45-o 
 
 45-3 
 
 45-7 
 
 46.0 
 
 46.3 
 
 46.7 
 
 47.0 
 
 474 
 
 47-7 
 
 48.1 
 
 28 
 
 48.4 
 
 48.7 
 
 49-1 
 
 49-4 
 
 49-8 
 
 50.1 
 
 50.5 
 
 50-9 
 
 51.2 
 
 51.6 
 
 29 
 
 51-9 
 
 52.3 
 
 52.6 
 
 53-o 
 
 53-4 
 
 53-7 
 
 54-1 
 
 54-5 
 
 54-8 
 
 55-2 
 
 30 
 
 55-6 
 
 55-9 
 
 56.3 
 
 56.7 
 
 57-1 
 
 57-4 
 
 57-8 
 
 58.2 
 
 58.6 
 
 58.9 
 
 31 
 
 59-3 
 
 59-7 
 
 60. i 
 
 60.5 
 
 60.9 
 
 61.3 
 
 61.6 
 
 62.0 
 
 62.4 
 
 62.8 
 
 32 
 
 63.2 
 
 63.6 
 
 64.0 
 
 644 
 
 64.8 
 
 65.2 
 
 65.6 
 
 66.0 
 
 66.4 
 
 66.8 
 
 33 
 
 67.2 
 
 67.6 
 
 68.0 
 
 68.5 
 
 68.9 
 
 69-3 
 
 69-7 
 
 70.1 
 
 70.5 
 
 70.9 
 
 34 
 
 71.4 
 
 71.8 
 
 72.2 
 
 72.6 
 
 73-1 
 
 73-5 
 
 73-9 
 
 74-3 
 
 74-8 
 
 75-2 
 
 35 
 
 75.6 
 
 76.1 
 
 76.5 
 
 76.9 
 
 774 
 
 77-8 
 
 78.2 
 
 78.7 
 
 79.1 
 
 79-6 
 
 36 
 
 80.0 
 
 80.5 
 
 80.9 
 
 81.3 
 
 81.8 
 
 82.2 
 
 82.7 
 
 83.1 
 
 83-6 
 
 84.1 
 
 37 
 
 84.5 
 
 85.0 
 
 854 
 
 85-9 
 
 86.3 
 
 86.8 
 
 87.3 
 
 87.7 
 
 88.2 
 
 88.7 
 
 38 
 
 89.1 
 
 89.6 
 
 90.1 
 
 90.6 
 
 91.0 
 
 9L5 
 
 92.0 
 
 92.5 
 
 92.9 
 
 934 
 
 39 
 
 93-9 
 
 944 
 
 94-9 
 
 95-3 
 
 95-8 
 
 96.3 
 
 96.8 
 
 97-3 
 
 97.8 
 
 98.3 
 
 40 
 
 98.8 
 
 99-3 
 
 99-8 
 
 100.3 
 
 100.8 
 
 101.3 
 
 101.8 
 
 102.3 
 
 102.8 
 
 103.3 
 
 
 0. 
 
 i. 
 
 2. 
 
 3- 
 
 4- 
 
 5- 
 
 6. 
 
 7- 
 
 8. 
 
 9. 
 
 NOTE. The quantities in the above table multiplied by 2 give the minus 
 
 *-4-s 1 
 corrections for- = 
 
61 
 
 TABLE Xo. 9. LEVEL CUTTINGS. =; & = 1G 
 
 fc 
 
 o. 
 
 I. 
 
 2. 
 
 3. 
 
 4- 5- 
 
 6- 7- 
 
 8. 
 
 9- 
 
 
 
 o.o 
 
 5.9 
 
 n.g 
 
 17.9 
 
 24.0 30.1 
 
 36.2 
 
 42.4 
 
 48.6 54-8 
 
 I 
 
 6z.i 
 
 67.4 
 
 73-8 
 
 80.2 
 
 S6.6j 93.1 
 
 99-6 
 
 1 06. i 
 
 112.7 
 
 119.3 
 
 2 
 
 125.9 
 
 132.6 
 
 139-3 
 
 146.1 
 
 152 g 
 
 159-7 
 
 166.6 
 
 173-5 
 
 180.4 
 
 187.4 
 
 3 
 
 194.4 
 
 201.5 
 
 208.6 
 
 215.7 
 
 222.C 
 
 230.1 
 
 237-3 
 
 244.6 
 
 251-9 
 
 259-3 
 
 4 
 
 266.7 
 
 274.1 
 
 281.6 
 
 289.1 
 
 296.6 
 
 304.2 
 
 3H.8 
 
 3I9-4 
 
 327.1 
 
 334-8 
 
 5 
 
 342.6 
 
 350.4 
 
 358.2 
 
 366.1 
 
 374-0 
 
 381.9 
 
 389-9 
 
 397-9 
 
 406.0 
 
 414.1 
 
 6 
 
 422.2 
 
 430.4 
 
 438.6 
 
 446.8 
 
 455.1 
 
 463-^ 
 
 471.8 
 
 480.2 
 
 488.6 
 
 497-1 
 
 7 
 
 505-6 
 
 5I4.I 
 
 522.7 
 
 531-3 
 
 539-9 
 
 548.6 
 
 557-3 
 
 566.1 
 
 574-9 
 
 583.7 
 
 8 
 
 592-6 
 
 601.5 
 
 610.^ 
 
 619.41 628.^ 
 
 637.5 
 
 646.6 
 
 655-7 
 
 664.9 
 
 674.1 
 
 9 
 
 683.3 
 
 692.6 
 
 701. c 
 
 7II-3 
 
 720.7 
 
 730.1 
 
 739-6 
 
 749.1 
 
 758.6 
 
 768.2 
 
 10 
 
 777-8 
 
 7874 
 
 797.1 
 
 806.8 
 
 816.6 
 
 826.4 
 
 836.2 
 
 846.1 
 
 856.0 
 
 865.9 
 
 ii 
 
 875-9 
 
 885.9 
 
 896.0 
 
 906.1 
 
 916.2 
 
 926.^ 
 
 936.6 
 
 946.8 
 
 957-1 
 
 967.4 
 
 12 
 
 977.8 
 
 988.2 
 
 998.6 
 
 1009 
 
 IO2O 
 
 1030 
 
 1041 
 
 1051 
 
 1062 
 
 1073 
 
 13 
 
 1083 
 
 1094 
 
 1105 
 
 1116 
 
 1127 
 
 1138 
 
 1148 
 
 H59 
 
 1170 
 
 1182 
 
 H 
 
 H93 
 
 1204 
 
 1215 
 
 1226 
 
 1237 
 
 1249 
 
 1260 
 
 1271 
 
 1283 
 
 1294 
 
 15 
 
 1306 
 
 1317 
 
 1329 
 
 1340 
 
 1352 
 
 1363 
 
 1375 
 
 1387 
 
 1399 
 
 1410 
 
 16 
 
 1422 
 
 1434 
 
 1446 
 
 1458 
 
 1470 
 
 1482 
 
 1494 
 
 1506 
 
 1518 
 
 1530 
 
 17 
 
 1543 
 
 1555 
 
 1567 
 
 1579 
 
 1592 
 
 1604 
 
 1617 
 
 1629 
 
 1642 
 
 1654 
 
 i3 
 
 1667 
 
 1679 
 
 1692 
 
 1705 
 
 1717 
 
 1730 
 
 1743 
 
 1756 
 
 1769 
 
 1782 
 
 19 
 
 1794 
 
 1807 
 
 1820 
 
 1834 
 
 1847 
 
 1860 
 
 1873 
 
 1886 
 
 1899 
 
 1913 
 
 20 
 
 1926 
 
 1939 
 
 1953 
 
 1966 
 
 1980 
 
 1993 
 
 2007 
 
 2020 
 
 2034 
 
 2047 
 
 21 
 
 2061 
 
 2075 
 
 2089 
 
 2IO2 
 
 2116 
 
 2130 
 
 2144 
 
 2158 
 
 2172 
 
 2186 
 
 22 
 
 2200 
 
 2214 
 
 2228 
 
 2242 
 
 2257 
 
 2271 
 
 2285 
 
 2299 
 
 2314 
 
 2328 
 
 23 
 
 2343 
 
 2357 
 
 2372 
 
 2386 
 
 2401 
 
 2415 
 
 2430 
 
 2445 
 
 2459 
 
 2474 
 
 24 
 
 2489 
 
 2504 
 
 2519 
 
 2534 
 
 2548 
 
 2563 
 
 2578 
 
 2594 
 
 2609 
 
 2624 
 
 25 
 
 2639 
 
 2654 
 
 2669 
 
 2685 
 
 2700 
 
 2715 
 
 2731 
 
 2746 
 
 2762 
 
 2777 
 
 26 
 
 2793 
 
 2808 
 
 2824 
 
 2839 
 
 2855 
 
 2871 
 
 2887 
 
 2902 
 
 2918 
 
 2934 
 
 27 
 
 2950 
 
 2966 
 
 2982 
 
 2998 
 
 3014 
 
 3030 
 
 3046 
 
 3062 
 
 3079 
 
 3095 
 
 28 
 
 SHI 
 
 3127 
 
 3144 
 
 3160 
 
 3177 
 
 3193 
 
 3210 
 
 3226 
 
 3243 
 
 3259 
 
 29 
 
 3276 
 
 3293 
 
 3309 
 
 3326 
 
 3343 
 
 336o 
 
 3377 
 
 3394 
 
 3410 
 
 3427 
 
 30 
 
 3444 
 
 3462 
 
 3479 
 
 3496 
 
 3513 
 
 3530 
 
 3547 
 
 3565 
 
 3582 
 
 3599 
 
 31 
 
 3617 
 
 3634 
 
 3652 
 
 3669 
 
 3687 
 
 3704 
 
 3722 
 
 3739 
 
 3757 
 
 3775 
 
 32 
 
 3793 
 
 3810 
 
 3828 
 
 3846 
 
 386 4 
 
 3882 
 
 39o 
 
 39i8 
 
 3936 
 
 3954 
 
 33 
 
 3972 
 
 3990 
 
 4009 
 
 4027 
 
 4045 
 
 4063 
 
 4082 
 
 4100 
 
 4119 
 
 4137 
 
 34 
 
 4156 
 
 4174 
 
 4193 
 
 4211 
 
 4230 
 
 4249 
 
 4267 
 
 4286 
 
 4305 
 
 4324 
 
 35 
 
 4343 
 
 4362 
 
 4380 
 
 4399 
 
 4418 
 
 4438 
 
 4457 
 
 4476 
 
 4495 
 
 4514 
 
 36 
 
 4533 
 
 4553 
 
 4572 
 
 459 1 
 
 4611 - 
 
 4630 
 
 4650 
 
 4669 
 
 4689 
 
 4708 
 
 37 
 
 4728 
 
 4747 
 
 4767 
 
 4787 
 
 4807 
 
 4826 
 
 4846 
 
 4866 
 
 4886 
 
 4906 
 
 38 
 
 4926 
 
 4946 
 
 4966 
 
 4986 
 
 5006 
 
 5026 
 
 5047 
 
 5067 
 
 5087 
 
 5107 
 
 39 
 
 5128 
 
 5148 
 
 5169 
 
 5189 
 
 5210 
 
 5230 
 
 5251 
 
 5271 
 
 5292 
 
 5313 
 
 40 
 
 5333 
 
 5354 
 
 5375 
 
 5396 
 
 5417 
 
 5438 
 
 5458 
 
 5479 
 
 55oo 
 
 5522 
 
 4i 
 
 5543 
 
 5564 
 
 5585 
 
 5606 
 
 5627 
 
 5649 
 
 5670 
 
 5691 
 
 5713 
 
 5734 
 
 42 
 
 5756 
 
 5777 
 
 5799 
 
 5820 
 
 5842 
 
 5863 
 
 5885 
 
 5907 
 
 5929 
 
 5950 
 
 43 
 
 5972 
 
 5994 
 
 6016 
 
 6038 
 
 6060 
 
 6082 
 
 6104 
 
 6126 
 
 6148 
 
 6170 
 
 44 
 
 6193 
 
 6215 
 
 6237 
 
 6259 
 
 6282 
 
 6304 
 
 6327 
 
 6349 
 
 6372 
 
 6394 
 
 45 
 
 6417 
 
 6439 
 
 6462 
 
 6485 
 
 6507 
 
 6530 
 
 6553 
 
 6576 
 
 6599 
 
 6622 
 
 46 
 
 6644 
 
 6667 
 
 6690 
 
 6714 
 
 6737 
 
 6760 
 
 6783 
 
 6806 
 
 6829 
 
 6853 
 
 47 
 
 6876 
 
 6899 
 
 6923 
 
 6946 
 
 6970 
 
 6993 
 
 7017 
 
 7040 
 
 7064 
 
 7087 
 
 48 
 
 7111 
 
 7135 
 
 7159 
 
 7182 
 
 7206 
 
 7230 
 
 7254 
 
 72/8 
 
 7302 
 
 7326 
 
 49 
 
 7350 
 
 7374 
 
 7398 
 
 7422 
 
 7447 
 
 7471 
 
 7495 
 
 7519 
 
 7544 
 
 7568 
 
 50 
 
 7593 
 
 7617 
 
 7642 
 
 7666 
 
 7691 
 
 7715 
 
 7740 
 
 7765 
 
 7789 
 
 7814 
 
 51 
 
 7839 
 
 7864 
 
 7889 
 
 7914 
 
 7938 
 
 7963 
 
 7988 
 
 8014 
 
 8039 
 
 8064 
 
 52 
 
 8089 
 
 8114 
 
 8i39 
 
 8165 
 
 8190 
 
 8215 
 
 8241 
 
 8266 
 
 8292 
 
 8317 
 
 53 
 
 8343 
 
 8368 
 
 8394 
 
 8419 
 
 8445 
 
 8471 
 
 8497 
 
 8522 
 
 8548 
 
 8574 
 
 54 
 
 8600 
 
 8626 
 
 8652 
 
 8678 
 
 8704 
 
 8730 
 
 8756 
 
 8782 
 
 8809 
 
 8835 
 
 55 
 
 8861 
 
 8887 
 
 8914 
 
 8940 
 
 8967 
 
 8993 
 
 9020 
 
 9046 
 
 973 
 
 9099 
 
 56 
 
 9126 
 
 9*53 
 
 9179 
 
 9206 
 
 9 2 33 
 
 9260 
 
 9287 
 
 9314 
 
 9340 
 
 9367 
 
 57 
 
 9394 
 
 9422 
 
 9449 
 
 9476 
 
 9503 
 
 9530 
 
 9557 
 
 9585 
 
 9612 
 
 9639 
 
 58 
 
 9667 
 
 9694 
 
 9722 
 
 9749 
 
 9777 
 
 9804 
 
 9832 
 
 9859 
 
 9887 
 
 9915 
 
 59 
 
 9943 
 
 9970 
 
 9998 
 
 10026 
 
 10054 
 
 10082 
 
 OIIO 
 
 0138 
 
 10166 
 
 0194 
 
 60 
 
 IO222 
 
 10250 
 
 10279 
 
 10307 
 
 10335 
 
 10363 
 
 0392 
 
 0420 
 
 10449 
 
 0477 
 
 
 .O 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 -7 1 -8 
 
 9 
 
62 
 TABLE KG. 10. LEVEL CUTTIXG.S. 
 
 
 
 .0 
 
 .1 .2 | .3 
 
 -4 -5 .6 .7 | .8 1 .9 
 
 o 
 
 0. 
 
 10.4 
 
 20.8 
 
 31-3 
 
 41.8 
 
 52.3 
 
 62.9 
 
 73-5 
 
 84,1 
 
 94-8 
 
 I 
 
 105.6 
 
 Il6.3 
 
 127.1 
 
 137-9 
 
 148.8 
 
 159-7 
 
 170.7 
 
 181.6 
 
 192.7 
 
 203.7 
 
 2 
 
 214.8 
 
 225.9 
 
 237.1 
 
 248.3 
 
 259.6 
 
 270.8 
 
 282.1 
 
 293.5 
 
 304-9 
 
 316.3 
 
 3 
 
 327.8 
 
 339-3 
 
 350.8 
 
 362.4 
 
 374-0 
 
 385-6 
 
 397-3 
 
 409.1 
 
 420.8 
 
 432-6 
 
 4 
 
 444-4 
 
 456.3 
 
 468.2 
 
 480.2 
 
 492.1 
 
 504.2 
 
 516.2 
 
 528.3 
 
 540.4 
 
 552.6 
 
 5 
 
 564-8 
 
 577-1 
 
 589.3 
 
 601.6 
 
 614.0 
 
 626.4 
 
 638.8 
 
 651-3 
 
 663.8 
 
 676.3 
 
 6 
 
 688.9 
 
 701.5 
 
 714.1 
 
 7268 
 
 739-6| 752.3 
 
 765-1 
 
 777-9 
 
 790.8 
 
 803.7 
 
 7 
 
 816.7 
 
 829.6 
 
 842.7 
 
 855-7 
 
 868.8 
 
 881.9 
 
 895.1 
 
 908.3 
 
 921.6 
 
 934-8 
 
 8 
 
 948.1 
 
 961.5 
 
 974.9 
 
 988.3 
 
 IOO2 
 
 1015 
 
 1029 
 
 1042 
 
 1056 
 
 1070 
 
 9 
 
 1083 
 
 1097 
 
 mi 
 
 1125 
 
 H38 
 
 1152 
 
 1166 
 
 1180 
 
 1194 
 
 1208 
 
 10 
 
 1222 
 
 1236 
 
 1250 
 
 1265 
 
 1279 
 
 1393 
 
 1307 
 
 1322 
 
 1336 
 
 1350 
 
 ii 
 
 1365 
 
 1379 
 
 1394 
 
 1408 
 
 1423 
 
 1438 
 
 1452 
 
 1467 
 
 1482 
 
 1496 
 
 12 
 
 IS" 
 
 1526 
 
 1541 
 
 1556 
 
 1571 
 
 1586 
 
 1601 
 
 1616 
 
 1631 
 
 1646 
 
 13 
 
 1661 
 
 1676 
 
 1692 
 
 1707 
 
 1/22 
 
 1738 
 
 1753 
 
 1768 
 
 1784 
 
 1799 
 
 Z 4 
 
 1815 
 
 1830 
 
 1846 
 
 IS62 
 
 I8 77 
 
 1893 
 
 1909 
 
 1925 
 
 1940 
 
 1956 
 
 15 
 
 1972 
 
 1988 
 
 2004 
 
 2020 
 
 2036 
 
 2052 
 
 2068 
 
 2085 
 
 2IOI 
 
 2117 
 
 16 
 
 2133 
 
 2150 
 
 2166 
 
 2182 
 
 2199 
 
 2215 
 
 2232 
 
 2246 
 
 2265 
 
 2282 
 
 I? 
 
 2298 
 
 2315 
 
 2332 
 
 2348 
 
 2365 
 
 2382 
 
 2399 
 
 2416 
 
 2433 
 
 2450 
 
 18 
 
 2467 
 
 2484 
 
 2501 
 
 2518 
 
 2535 
 
 2552 
 
 2570 
 
 2587 
 
 2604 
 
 2622 
 
 19 
 
 2639 
 
 2656 
 
 2674 
 
 2691 
 
 2709 
 
 2726 
 
 2744 
 
 2762 
 
 2779 
 
 2797 
 
 20 
 
 2815 
 
 2833 
 
 2850 
 
 2868 
 
 2886 
 
 2904 
 
 2922 
 
 2940 
 
 2958 
 
 2976 
 
 21 
 
 2994 
 
 3013 
 
 3031 
 
 3049 
 
 3067 
 
 3086 
 
 3104 
 
 3122 
 
 3Mi 
 
 3159 
 
 22 
 
 3178 
 
 3196 
 
 3215 
 
 3234 
 
 3252 
 
 3271 
 
 3290 
 
 3308 
 
 3327 
 
 3346 
 
 23 
 
 3365 
 
 3384 
 
 3403 
 
 3422 
 
 3441 
 
 3460 
 
 3479 
 
 3498 
 
 3517 
 
 3536 
 
 24 
 
 3556 
 
 3575 
 
 3594 
 
 3614 
 
 3633 
 
 3652 
 
 3672 
 
 3691 
 
 37U 
 
 3730 
 
 25 
 
 3750 
 
 3770 
 
 3789 
 
 3809 
 
 3829 
 
 3849 
 
 3868 
 
 3888 
 
 3908 
 
 3928 
 
 26 
 
 3946 
 
 3968 
 
 3988 
 
 4008 
 
 4028 
 
 4049 
 
 4069 
 
 4089 
 
 4109 
 
 4130 
 
 27 
 
 4150 
 
 4170 
 
 4191 
 
 4211 
 
 4232 
 
 4252 
 
 4273 
 
 4294 
 
 4314 
 
 4335 
 
 28 
 
 4356 
 
 4376 
 
 4397 
 
 4418 
 
 4439 
 
 4460 
 
 4481 
 
 4502 
 
 4523 
 
 4544 
 
 29 
 
 4565 
 
 4586 
 
 4607 
 
 4628 
 
 4650 
 
 4671 
 
 4692 
 
 4714 
 
 4735 
 
 4756 
 
 30 
 
 47/8 
 
 4799 
 
 4821 
 
 4842 
 
 4864 
 
 4886 
 
 4907 
 
 4929 
 
 4951 
 
 4973 
 
 31 
 
 4994 
 
 5016 
 
 5038 
 
 5O6O 
 
 5082 
 
 5104 
 
 5126 
 
 5U8 
 
 5i7o 
 
 5193 
 
 32 
 
 5215 
 
 5237 
 
 5259 
 
 5282 
 
 5304 
 
 5326 
 
 5349 
 
 5371 
 
 5394 
 
 54i6 
 
 33 
 
 5439 
 
 5462 
 
 5484 
 
 5507 
 
 5530 
 
 5552 
 
 5575 
 
 5598 
 
 5621 
 
 5644 
 
 34 
 
 5667 
 
 5690 
 
 5713 
 
 5736 
 
 5759 
 
 5782 
 
 5805 
 
 5828 
 
 5852 
 
 5875 
 
 35 
 
 5898 
 
 5922 
 
 5945 
 
 5968 
 
 5992 
 
 6015 
 
 6039 
 
 6062 
 
 6086 
 
 6no 
 
 36 
 
 6i33 
 
 6i57 
 
 6181 
 
 6205 
 
 6228 
 
 6252 
 
 6276 
 
 6300 
 
 6324 
 
 6348 
 
 37 
 
 6372 
 
 6396 
 
 6420 
 
 6445 
 
 6469 
 
 6493 
 
 6517 
 
 6542 
 
 6566 
 
 6590 
 
 38 
 
 6615 
 
 6639 
 
 6664 
 
 6688 
 
 6713 
 
 6738 
 
 6762 
 
 6787 
 
 6812 
 
 6836 
 
 39 
 
 6861 
 
 6886 
 
 6911 
 
 6936 
 
 6961 
 
 6986 
 
 7011 
 
 7036 
 
 7061 
 
 7086 
 
 40 
 
 7111 
 
 7136 
 
 7162 
 
 7187 
 
 7212 
 
 7238 
 
 7263 
 
 7288 
 
 73U 
 
 7339 
 
 4i 
 
 7365 
 
 7390 
 
 7416 
 
 7442 
 
 7467 
 
 7493 
 
 7519 
 
 7545 
 
 7570 
 
 7596 
 
 42 
 
 7622 
 
 7648 
 
 7674 
 
 7700 
 
 7726 
 
 7752 
 
 j.-.-Q 
 
 777 
 
 7805 
 
 7831 
 
 7857 
 
 43 
 
 7883 
 
 7910 
 
 7936 
 
 7962 
 
 7989 
 
 8015 
 
 8042 
 
 8068 
 
 8095 
 
 8122 
 
 44 
 
 8148 
 
 8i75 
 
 8202 
 
 8228 
 
 8255 
 
 8282 
 
 8309 
 
 8336 
 
 8363 
 
 8390 
 
 45 
 
 8417 
 
 8444 
 
 8471 
 
 8498 
 
 8525 
 
 8552 
 
 8580 
 
 8607 
 
 8634 
 
 8662 
 
 46 
 
 8689 
 
 8716 
 
 8744 
 
 8771 
 
 8799 
 
 8826 
 
 8854 
 
 8882 
 
 8909 
 
 8937 
 
 47 
 
 8965 
 
 8993 
 
 9020 
 
 9048 
 
 9076 
 
 9104 
 
 9132 
 
 9160 
 
 9188 
 
 9216 
 
 48 
 
 9244 
 
 9 2 73 
 
 9301 
 
 9329 
 
 9357 
 
 9386 
 
 9414 
 
 9442 
 
 9471 
 
 9499 
 
 49 
 
 9528 
 
 9556 
 
 9585 
 
 9614 
 
 9642 
 
 9671 
 
 9700 
 
 9728 
 
 9757 
 
 9786 
 
 50 
 
 9815 
 
 9844 
 
 9873 
 
 9902 
 
 9931 
 
 9960 
 
 9989 
 
 10018 
 
 10047 
 
 10076 
 
 5i 
 
 10106 
 
 ioi35 
 
 10164 
 
 10194 
 
 10223 
 
 10252 
 
 10282 
 
 10311 
 
 10341 
 
 10370 
 
 52 
 
 10400 
 
 10430 
 
 10459 
 
 10489 
 
 10519 
 
 10549 
 
 10578 
 
 10608 
 
 10638 
 
 10668 
 
 53 
 
 10698 
 
 10728 
 
 10758 
 
 10788 
 
 10818 
 
 10849 
 
 10879 
 
 10909 
 
 10939 
 
 10970 
 
 54 
 
 IIOOO 
 
 11030 
 
 11061 
 
 11091 
 
 III22 
 
 11152 
 
 11183 
 
 11214 
 
 11244 
 
 11275 
 
 55 11306 
 
 11336 
 
 11367 
 
 11398 
 
 II429 
 
 11460 
 
 11491 
 
 11522 
 
 "553 
 
 11584 
 
 56 
 
 11615 
 
 11646 
 
 11677 
 
 11708 
 
 II740 
 
 11771 
 
 11802 
 
 n834 
 
 11865 
 
 11896 
 
 57 
 
 11928 
 
 "959 
 
 11991 
 
 I2O22 
 
 12054 
 
 12086 
 
 12117 
 
 12149 
 
 12181 
 
 12213 
 
 58 
 
 12244 
 
 12276 
 
 12308 
 
 12340 
 
 12372 
 
 12404 
 
 12436 
 
 12468 
 
 12500 
 
 12533 
 
 59 
 
 12565 
 
 12597 
 
 12629 
 
 12662 
 
 12694 
 
 12726 
 
 i*759 
 
 12791 
 
 12824 
 
 12856 
 
 60 
 
 12889 
 
 12922 
 
 12954 
 
 12987 
 
 13020 
 
 13052 
 
 13^5 
 
 13118 
 
 13151 
 
 13184 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 -7 
 
 .8 
 
 -9 
 
63 
 
 TABLE Xo. 11. 
 
 Plus Corrections for - = 
 
 1 
 
 .0 
 
 .1 
 
 .2 
 
 .3 
 
 .4 
 
 -5 
 
 .6 
 
 d - 
 
 9 
 
 o 
 
 o. 
 
 O. 
 
 0. 
 
 0. 
 
 0. 
 
 0. 
 
 O.I 
 
 O.I 
 
 O.I 
 
 O.I 
 
 I 
 
 O.2 
 
 O.2 
 
 O.2 
 
 0.3 
 
 0-3 
 
 0.3 
 
 0.4 
 
 0.4 
 
 0.5 
 
 0.6 
 
 2 
 
 0.6 
 
 0.7 
 
 0.7 
 
 0.8 
 
 0.9 
 
 I.O 
 
 I.O 
 
 i.i 
 
 1.2 
 
 1.3 
 
 3 
 
 1.4 
 
 1.5 
 
 1.6 
 
 1.7 
 
 1.8 
 
 1.9 
 
 2.0 
 
 2.1 
 
 2.2 
 
 2-3 
 
 4 
 
 2.5 
 
 2.6 
 
 2.7 
 
 2-9 
 
 3-0 
 
 3-1 
 
 3-3 
 
 34 
 
 3-6 
 
 3-7 
 
 5 
 
 3.9 
 
 4.0 
 
 4-2 
 
 4-3 
 
 4-5 
 
 4-7 
 
 4.8 
 
 5-0 
 
 5-2 
 
 54 
 
 6 
 
 5-6 
 
 5-7 
 
 5-9 
 
 6.1 
 
 6-3 
 
 6-5 
 
 6.7 
 
 6-9 
 
 7-i 
 
 7-3 
 
 7 
 
 7-6 
 
 7-8 
 
 8.0 
 
 8.2 
 
 8-5 
 
 8-7 
 
 8.9 
 
 9.1 
 
 94 
 
 9.6 
 
 8 
 
 9.9 
 
 IO.I 
 
 10.4 
 
 10.6 
 
 10.9 
 
 ii. i 
 
 11.4 
 
 11.7 
 
 12.0 
 
 12.2 
 
 9 
 
 12.5 
 
 12.8 
 
 I3-I 
 
 13-3 
 
 13.6 
 
 13-9 
 
 14.2 
 
 14-5 
 
 14-8 
 
 I5-I 
 
 10 
 
 15-4 
 
 15.7 
 
 16.1 
 
 16.4 
 
 16.7 
 
 17.0 
 
 17-3 
 
 17.7 
 
 iS.o 
 
 18.3 
 
 ii 
 
 18.7 
 
 19.0 
 
 19.4 
 
 19.7 
 
 20. i 
 
 20.4 
 
 20.8 
 
 21. 1 
 
 21-5 
 
 21.9 
 
 12 
 
 22.2 
 
 22.6 
 
 23.0 
 
 23-3 
 
 23-7 
 
 24.1 
 
 24.5 
 
 24-9 
 
 25.3 
 
 25-7 
 
 13 
 
 26.1 
 
 26.5 
 
 26.9 
 
 27.3 
 
 27.7 
 
 28.1 
 
 28.5 
 
 29.0 
 
 29.4 
 
 29.8 
 
 14 
 
 30.2 
 
 30-7 
 
 31.1 
 
 31-6 
 
 32.0 
 
 32.4 
 
 32.9 
 
 33-3 
 
 33.8 
 
 34-3 
 
 15 
 
 34-7 
 
 35-2 
 
 35-7 
 
 36.1 
 
 36.6 
 
 37-1 
 
 37-6 
 
 38.0 
 
 38.5 
 
 39-0 
 
 16 
 
 39-5 
 
 40.0 
 
 40.5 
 
 41.0 
 
 41-5 
 
 42.0 
 
 42.5 
 
 43-0 
 
 43-6 
 
 44-1 
 
 17 
 
 44-6 
 
 45-1 
 
 45-7 
 
 46.2 
 
 46.7 
 
 47-3 
 
 47-8 
 
 48.3 
 
 48.9 
 
 494 
 
 k 18 
 
 50.0 
 
 50.6 
 
 51-1 
 
 51.7 
 
 52.2 
 
 52.8 
 
 534 
 
 54-0 
 
 54-5 
 
 55-i 
 
 19 
 
 55-7 
 
 56-3 
 
 56.9 
 
 57-5 
 
 58.1 
 
 58.7 
 
 59-3 
 
 59-9 
 
 60.5 
 
 61.1 
 
 20 
 
 61.7 
 
 62.3 
 
 63.0 
 
 63.6 
 
 64.2 
 
 64.9 
 
 65.5 
 
 66.1 
 
 66.8 
 
 674 
 
 21 
 
 68.1 
 
 68.7 
 
 89.4 
 
 70.0 
 
 70.7 
 
 71-3 
 
 72.0 
 
 72.7 
 
 73-3 
 
 74-0 
 
 22 
 
 74-7 
 
 75-4 
 
 76.1 
 
 76-7 
 
 774 
 
 78.1 
 
 78.8 
 
 79-5 
 
 80.2 
 
 80.9 
 
 23 
 
 81.6 
 
 82.3 
 
 83.1 
 
 83.8 
 
 84.5 
 
 85-2 
 
 86.0 
 
 86.7 
 
 87.4 
 
 88.1 
 
 24 
 
 88.9 
 
 89.6 
 
 90.4 
 
 91.1 
 
 91.9 
 
 92.6 
 
 934 
 
 94.1 
 
 94-9 
 
 95-7 
 
 25 
 
 96.5 
 
 97.2 
 
 98.0 
 
 98.8 
 
 99-6 
 
 100.3 
 
 IOI.I 
 
 101.9 
 
 102.7 
 
 103-5 
 
 26 
 
 104.3 
 
 105.1 
 
 105.9 
 
 106.7 
 
 107.6 
 
 108.4 
 
 109.2 
 
 IIO.O 
 
 no.S 
 
 in. 7 
 
 27 
 
 112.5 
 
 II3-3 
 
 114.2 
 
 115.0 
 
 II5-9 
 
 116.7 
 
 117.6 
 
 118.4 
 
 II9-3 
 
 1 20. i 
 
 28 
 
 I2I.O 
 
 .121.9 
 
 122.7 
 
 123.6 
 
 124-5 
 
 125-3 
 
 126.2 
 
 127.1 
 
 128.0 
 
 128.9 
 
 29 
 
 129.8 
 
 130.7 
 
 131.6 
 
 132.5 
 
 133-4 
 
 134-3 
 
 135-2 
 
 136.1 
 
 137-0 
 
 138.0 
 
 30 
 
 138.9 
 
 139.8 
 
 140.7 
 
 141.7 
 
 142.6 
 
 143.6 
 
 144-5 
 
 1454 
 
 146.4 
 
 147-3 
 
 31 
 
 148.3 
 
 149-3 
 
 150.2 
 
 151-2 
 
 152.2 
 
 I53-I 
 
 I54-I 
 
 I55-I 
 
 156.1 
 
 157-0 
 
 32 
 
 158.0 
 
 159.0 
 
 160.0 
 
 161.0 
 
 162.0 
 
 163.0 
 
 164.0 
 
 165.0 
 
 166.0 
 
 167.0 
 
 33 
 
 I68.I 
 
 169.1 
 
 170.1 
 
 171.1 
 
 172.2 
 
 173.2 
 
 174.2 
 
 175-3 
 
 176.3 
 
 177-3 
 
 34 
 
 178.4 
 
 179.4 
 
 180.5 
 
 181.6 
 
 182.6 
 
 183.7 
 
 184.7 
 
 185.8 
 
 186.9 
 
 188.0 
 
 35 
 
 iSg.O 
 
 190.1 
 
 191.2 
 
 192.3 
 
 1934 
 
 194.5 
 
 195.6 
 
 196.7 
 
 197.8 
 
 198.9 
 
 36 
 
 2OO.O 
 
 2OI.I 
 
 202.2 
 
 203.3 
 
 104-5 
 
 205.6 
 
 206.7 
 
 207.9 
 
 209.0 
 
 2IO.I 
 
 37 
 
 2II-3 
 
 212.4 
 
 213-6 
 
 214-7 
 
 215-9 
 
 217.0 
 
 218.2 
 
 219.3 
 
 220.5 
 
 221.7 
 
 38 
 
 222.8 
 
 224.0 
 
 225.2 
 
 226.4 
 
 227.6 
 
 228.7 
 
 229.9 
 
 231.1 
 
 232.3 
 
 233-5 
 
 39 
 
 234-7 
 
 235-9 
 
 237.1 
 
 238.3 
 
 239-6 
 
 240.8 
 
 242.0 
 
 243-2 
 
 244-5 
 
 245-7 
 
 40 
 
 246.9 
 
 248.1 
 
 249-4 
 
 250.6 
 
 251-9 
 
 253-1 
 
 2544 
 
 255-6 
 
 256.9 
 
 258.1 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 .4 
 
 5 
 
 .6 
 
 .7 
 
 .8 
 
 9 
 
 Minus Corrections for *-= ^. 
 
 NOTE. The quantities from the above table divided by two give tlie plus 
 
 corrections for -4^-= -. 
 2 4, 
 
64 
 TABLE No. 12. LEVEL CUTTINGS. -= l ; 5=18 feet 
 
 & 
 
 .0 
 
 .1 
 
 .2 
 
 -3 -4 | -5 
 
 
 
 -7 .8 ! .9 
 
 o 
 
 o.o 
 
 6.7 
 
 13-5 
 
 20.3 - 27.3 34.3 
 
 41-3 
 
 48-5 
 
 55-7| 63.0 
 
 I 
 
 70.4 
 
 77-8 
 
 85-3 
 
 92.9 100.6 108.3 
 
 116.1 
 
 124.0 
 
 132.01 140.0 
 
 2 
 
 148.1 
 
 156.3 
 
 164.6 
 
 172.9 
 
 181.3 189.8 
 
 198.4 
 
 207.0 215.7 224.5 
 
 3 
 
 233.3 
 
 242.3 
 
 251.3 
 
 260.3 
 
 269.5 
 
 278.7 
 
 288.0 
 
 297.4 306.8] 316.3 
 
 4 
 
 325.9 
 
 335-6 
 
 345-3 
 
 355-1 
 
 365.0 
 
 375-0 
 
 385-0 
 
 395-1 
 
 405-3 
 
 415.6 
 
 5 
 
 425.9 
 
 436.3 
 
 446.8 
 
 457-4 
 
 468.0 
 
 478-7 
 
 489-5 
 
 500.3 
 
 5II-3 
 
 522.3 
 
 6 
 
 533.3 
 
 544-5 
 
 555-7 
 
 567.0 
 
 578.4 
 
 589-8 
 
 601.3 
 
 612.9! 624.6 
 
 636.3 
 
 7 
 
 648.1 
 
 660.0 
 
 672.0 
 
 684.0 
 
 696.1 
 
 708.3 
 
 720.6 
 
 732.9 745.3 
 
 757-8 
 
 8 
 
 770.4 
 
 783-0 
 
 795-7 
 
 808.5 
 
 821.3 
 
 834-3 
 
 847-3 
 
 860.3 873.5 
 
 886.7 
 
 9 
 
 900.0 
 
 9134 
 
 926.8 
 
 940-3 
 
 953-9 
 
 967.6 
 
 981.3 
 
 995. il 1009 
 
 1023 
 
 10 
 
 1037 
 
 1051 
 
 1065 
 
 1080 
 
 1094 
 
 1108 
 
 1123 
 
 H37 
 
 1152 
 
 1167 
 
 ii 
 
 1181 
 
 1196 
 
 1211 
 
 1226 
 
 1241 
 
 1256 
 
 1272 
 
 1287 
 
 1302 
 
 1318 
 
 12 
 
 1333 
 
 1349 
 
 1365 
 
 1380 
 
 1396 
 
 1412 
 
 1428 
 
 1444 
 
 1460 
 
 1476 
 
 13 
 
 1493 
 
 1509 
 
 1525 
 
 1542 
 
 1558 
 
 1575 
 
 1592 
 
 1608 
 
 1625 
 
 1642 
 
 14 
 
 1659 
 
 1676 
 
 1693 
 
 1711 
 
 1728 
 
 1745 
 
 1763 
 
 1780 
 
 1798 
 
 1816 
 
 15 
 
 1833 
 
 1851 
 
 1869 
 
 1887 
 
 1905 
 
 1923 
 
 1941 
 
 1960 
 
 1978 
 
 1996 
 
 16 
 
 2015 
 
 2033 
 
 2O52 
 
 2071 
 
 2089 
 
 2108 
 
 2127 
 
 2146 
 
 2165 
 
 2184 
 
 17 
 
 2204 
 
 2223 
 
 2242 
 
 2262 
 
 2281 
 
 2301 
 
 2321 
 
 2340 
 
 2360 
 
 2380 
 
 18 
 
 2400 
 
 2420 
 
 2440. 
 
 2460 
 
 2481 
 
 2501 
 
 2521 
 
 2542 
 
 2562 
 
 2583 
 
 19 
 
 2604 
 
 2624 
 
 2645 
 
 2666 
 
 2687 
 
 2708 
 
 2729 
 
 2751 
 
 2772 
 
 2793 
 
 20 
 
 2815 
 
 2836 
 
 2858 
 
 2880 
 
 2901 
 
 2923 
 
 2945 
 
 2967 
 
 2989 
 
 3011 
 
 21 
 
 3033 
 
 3056 
 
 3078 
 
 3100 
 
 3123 
 
 3H5 
 
 3168 
 
 3191 
 
 3213 
 
 3236 
 
 22 
 
 3259 
 
 3282 
 
 3305 
 
 3328 
 
 3352 
 
 3375 
 
 3398 
 
 3422 
 
 3445 
 
 3469 
 
 23 
 
 3493 
 
 35i6 
 
 3540 
 
 3564 
 
 3588 
 
 3612 
 
 3636 
 
 3660 
 
 3685 
 
 3709 
 
 24 
 
 3733 
 
 3758 
 
 3782 
 
 3807 
 
 3832 
 
 3856 
 
 3881 
 
 3906 
 
 3931 
 
 3956 
 
 25 
 
 393i 
 
 4007 
 
 4032 
 
 4057 
 
 4083 
 
 4108 
 
 4134 
 
 4160 
 
 4i85 
 
 4211 
 
 26 
 
 4237 
 
 4263 
 
 4289 
 
 4315 
 
 4341 
 
 4368 
 
 4394 
 
 4420 
 
 4447 
 
 4473 
 
 27 
 
 4500 
 
 4527 
 
 4553 
 
 458o 
 
 ^07 
 
 4634 
 
 4661 
 
 4688 
 
 4716 
 
 4743 
 
 28 
 
 4770 
 
 4798 
 
 4825 
 
 4853 
 
 4881 
 
 4908 
 
 4936 
 
 4964 
 
 4992 
 
 5020 
 
 29 
 
 5048 
 
 5076 
 
 5105 
 
 5133 
 
 5161 
 
 5190 
 
 5218 
 
 5247 
 
 5276 
 
 5304 
 
 30 
 
 5333 
 
 5362 
 
 5391 
 
 5420 
 
 5449 
 
 5479 
 
 5508 
 
 5537 
 
 5567 
 
 5596 
 
 31 
 
 5626 
 
 5656 
 
 5685 
 
 5715 
 
 5745 
 
 5775 
 
 5805 
 
 5835 
 
 5865 
 
 5896 
 
 32 
 
 5926 
 
 5956 
 
 5987 
 
 6017 
 
 6048 
 
 6079 
 
 6109 
 
 6140 
 
 6171 
 
 6202 
 
 33 
 
 6233 
 
 6264 
 
 6296 
 
 6327 
 
 6358 
 
 6390 
 
 6421 
 
 6453 
 
 6485 
 
 6516 
 
 34 
 
 6548 
 
 6580 
 
 6612 
 
 6644 
 
 6676 
 
 6708 
 
 6741 
 
 6773 
 
 6805 
 
 6838 
 
 35 
 
 6870 
 
 6903 
 
 6936 
 
 6968 
 
 7001 
 
 7034 
 
 7067 
 
 7100 
 
 7133 
 
 7167 
 
 36 
 
 7200 
 
 7233 
 
 7267 
 
 7300 
 
 7334 
 
 7368 
 
 7401 
 
 7435 
 
 7469 
 
 7503 
 
 37 
 
 7537 
 
 7571 
 
 7605- 
 
 7640 
 
 7674 
 
 7708 
 
 7743 
 
 7777 
 
 7812 
 
 7847 
 
 38 
 
 7881 
 
 7916 
 
 7951 
 
 7986 
 
 8021 
 
 8056 
 
 8092 
 
 8127 
 
 8162 
 
 8198 
 
 39 
 
 8233 
 
 8269 
 
 8305 
 
 8340 
 
 8376 
 
 8412 
 
 8448 
 
 8484 
 
 8520 
 
 8556 
 
 40 
 
 8593 
 
 8629 
 
 8665 
 
 8702 
 
 8738 
 
 8775 
 
 8812 
 
 8848 
 
 8885 
 
 8922 
 
 4i 
 
 8959 
 
 8996 
 
 9033 
 
 9071 
 
 9108 
 
 9145 
 
 9183 
 
 9220 
 
 9258 
 
 9296 
 
 42 
 
 9333 
 
 9371 
 
 9409 
 
 9447 
 
 9485 
 
 9523 
 
 956i 
 
 9600 
 
 9638 
 
 9676 
 
 43 
 
 9715 
 
 9753 
 
 9792 
 
 9831 
 
 9869 
 
 9908 
 
 9947 
 
 9986 
 
 10025 
 
 10064 
 
 44 
 
 10104 
 
 10143 
 
 10182 
 
 IO222 
 
 10261 
 
 10301 
 
 10341 
 
 10380 
 
 10420 
 
 10460 
 
 45 
 
 10500 
 
 10540 
 
 10580 
 
 10620 
 
 10661 
 
 10701 
 
 10741 
 
 10782 
 
 10822 
 
 10863 
 
 46 
 
 10904 
 
 10944 
 
 10985 
 
 IIO26 
 
 11067 
 
 11108 
 
 11149 
 
 11191 
 
 11232 
 
 11273 
 
 47 
 
 H3I5 
 
 H356 
 
 11398 
 
 II440 
 
 11481 
 
 U523 
 
 11565 
 
 11607 
 
 11649 
 
 11691 
 
 48 
 
 H733 
 
 11776 
 
 11818 
 
 II860 
 
 11903 
 
 H945 
 
 11988 
 
 12031 
 
 12073 
 
 12116 
 
 49 
 
 12159 
 
 12202 
 
 12245 
 
 12288 
 
 12332 
 
 12375 
 
 12418 
 
 12462 
 
 12505 12549 
 
 50 
 
 12593 
 
 12636 
 
 12680 
 
 12724 
 
 12768 
 
 12812 
 
 12856 
 
 12900 
 
 12945 
 
 12989 
 
 5i 
 
 13033 
 
 13078 
 
 13122 
 
 I3I67 
 
 13212 
 
 13256 
 
 I330I 
 
 T3346 
 
 I339 1 
 
 13436 
 
 52 
 
 13481 
 
 13527 
 
 13572 
 
 I36I7 
 
 13663 
 
 13708 
 
 13754 
 
 13800 
 
 13845 
 
 13891 
 
 53 13937 
 
 13983 
 
 14029 
 
 14075 
 
 14121 
 
 14168 
 
 14214 
 
 14260 
 
 14307 
 
 14353 
 
 54)14400 
 
 14447 
 
 14493 
 
 14540 
 
 14587 
 
 14634 
 
 14681 
 
 14728 
 
 14776 
 
 14823 
 
 55 
 
 14870 
 
 I49I8 
 
 14965 
 
 I50I3 
 
 15061 
 
 15108 
 
 15156 
 
 15204 
 
 15252 
 
 15300 
 
 56 
 
 15348 
 
 15396 
 
 15445 
 
 15493 
 
 I554I 
 
 15590 
 
 15638 
 
 15687 
 
 15736 
 
 15784 
 
 57 
 
 15833 
 
 15882 
 
 15931 
 
 15980 
 
 16029 
 
 16079 
 
 16128 
 
 16177 
 
 16227 
 
 16276 
 
 58 
 
 16326 
 
 16376 
 
 16425 
 
 16475 
 
 16525 
 
 16575 
 
 16625 
 
 16675 
 
 16725 
 
 16776 
 
 59 
 
 16826 
 
 16876 
 
 16927 
 
 16977 
 
 17028 
 
 17079 
 
 17129 
 
 17180 
 
 17231 
 
 17282 
 
 60 
 
 17333 
 
 17384 
 
 17436 
 
 17487 
 
 17538 
 
 17590 
 
 17641 
 
 17693 
 
 17745 
 
 17796 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 7 
 
 .8 
 
 9 
 
65 
 
 TABLE Ko. 13. LEVEL CUTTINGS. --= 1 ; b=Wfcct. 
 
 8+8 
 
 ta 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 .4 
 
 5> 
 
 .6 
 
 .7 .8 
 
 9 
 
 o 
 
 00.0 
 
 II. I 
 
 22.4 
 
 33-7 
 
 45-0 
 
 56.5 
 
 68.0 
 
 79-6 
 
 91-3 
 
 103.0 
 
 I 
 
 114.8 
 
 126.7 
 
 I3S-7 
 
 150.7 
 
 162.8 
 
 175-0 
 
 187-3 
 
 199.6 
 
 2I2.O 
 
 224.5 
 
 2 
 
 237.0 
 
 249-7 
 
 262.4 
 
 275-1 
 
 288.0 
 
 300.9 
 
 313.9 
 
 327-0 
 
 340.1 
 
 353-4 
 
 3 
 
 366.7 
 
 380.0 
 
 393-5 
 
 407.0 
 
 420.6 
 
 434-3 
 
 448.0 
 
 461.8 
 
 475-7 
 
 489.7 
 
 4 
 
 503.7 
 
 517.8 
 
 532.0 
 
 546.3 
 
 560.6 
 
 575-0 
 
 589-5 
 
 604.0 
 
 618.7 
 
 6334 
 
 5 648.1 
 
 663.0 
 
 677-9 
 
 692.9 
 
 708.0 
 
 723.1 
 
 738.4 
 
 753-7 
 
 76g.c 
 
 7S4.5 
 
 6 
 
 800.0 
 
 815.6 
 
 831-3 
 
 847.0 
 
 862.8 
 
 878.7 
 
 894.7 
 
 910.7 
 
 926.8 
 
 943-0 
 
 7 
 
 959-3 
 
 975-6 
 
 992.0 
 
 1008 
 
 1025 
 
 1042 
 
 1058 
 
 1075 
 
 1092 
 
 1109 
 
 8 
 
 1126 
 
 H43 
 
 1160 
 
 1177 
 
 H95 
 
 1212 
 
 1229 
 
 1247 
 
 1265 
 
 1282 
 
 9 
 
 1300 
 
 1318 
 
 1336 
 
 1354 
 
 1372 
 
 1390 
 
 1408 
 
 1426 
 
 1445 
 
 1463 
 
 10 
 
 1481 
 
 1500 
 
 1519 
 
 1537 
 
 1556 
 
 1575 
 
 1594 
 
 1613 
 
 1632 
 
 1651 
 
 ii 
 
 1670 
 
 1690 
 
 1709 
 
 1728 
 
 1748 
 
 1768 
 
 1787 
 
 1807 
 
 1827 
 
 1847 
 
 12 
 
 1867 
 
 1887 
 
 1907 
 
 1927 
 
 1947 
 
 1968 
 
 1988 
 
 2008 
 
 2029 
 
 2050 
 
 J 3 
 
 2070 
 
 2091 
 
 2112 
 
 2133 
 
 2154 
 
 2175 
 
 2196 
 
 2217 
 
 2239 
 
 2260 
 
 14 
 
 2281 
 
 2303 
 
 2325 
 
 2346 
 
 2368 
 
 2390 
 
 2412 
 
 2434 
 
 2456 
 
 2478 
 
 15 
 
 2500 
 
 2522 
 
 2545 
 
 2567 
 
 2589 
 
 26l2 
 
 2635 
 
 2657 
 
 2680 
 
 2703 
 
 16 
 
 2726 
 
 2749 
 
 2772 
 
 2795 
 
 2818 
 
 2842 
 
 2865 
 
 2888 
 
 2912 
 
 2936 
 
 17 
 
 2959 
 
 2983 
 
 3007 
 
 3031 
 
 3055 
 
 3079 
 
 3103 
 
 3127 
 
 3i5i 
 
 3176 
 
 18 
 
 3200 
 
 3224 
 
 3249 
 
 3274 
 
 3298 
 
 3323 
 
 3348 
 
 3373 
 
 3398 
 
 3423 
 
 19 
 
 3448 
 
 3473 
 
 3499 
 
 3524 
 
 3549 
 
 3575 
 
 3601 
 
 3626 
 
 3652 
 
 3678 
 
 20 
 
 3/04 
 
 3730 
 
 3756 
 
 3782 
 
 3808 
 
 3834 
 
 3861 
 
 3887 
 
 3913 
 
 3940 
 
 21 
 
 3967 
 
 3993 
 
 4020 
 
 4047 
 
 4074 
 
 4101 . 
 
 4128 
 
 4155 
 
 4182 
 
 4210 
 
 22 
 
 4237 
 
 4264 
 
 4292 
 
 4320 
 
 4347 
 
 4375 
 
 4403 
 
 4431 
 
 4459 
 
 4487 
 
 23 
 
 4515 
 
 4543 
 
 4571 
 
 4600 
 
 4628 
 
 4656 
 
 4685 
 
 4714 
 
 4742 
 
 4771 
 
 24 
 
 4800 
 
 4829 
 
 4858 
 
 4887 
 
 4916 
 
 4945 
 
 4975 
 
 5004 
 
 5033 
 
 5063 
 
 25 
 
 5093 
 
 5122 
 
 5152 
 
 5182 
 
 5212 
 
 5242 
 
 5272 
 
 5302 
 
 5332 
 
 5362 
 
 26 
 
 5393 
 
 5423 
 
 5453 
 
 5484 
 
 5515 
 
 5545 
 
 5576 
 
 5607 
 
 5638 
 
 5669 
 
 27 
 
 5700 
 
 5731 
 
 5762 
 
 5794 
 
 5825 5856 
 
 5888 
 
 5920 
 
 5951 
 
 5983 
 
 28 
 
 6015 
 
 6047 
 
 6079 
 
 6111 
 
 6i43 6175 
 
 6207 
 
 6240 
 
 6272 
 
 6304 
 
 29 
 
 6337 
 
 6370 
 
 6402 
 
 6435 
 
 6468 
 
 6501 
 
 6534 
 
 6567 
 
 6600 
 
 6633 
 
 30 
 
 6667 
 
 6700 
 
 6733 
 
 6767 
 
 6801 
 
 6834 
 
 6868 
 
 6902 
 
 6936 
 
 6970 
 
 31 
 
 7004 
 
 7038 
 
 .7072 
 
 7106 
 
 7141 
 
 7175 
 
 7209 
 
 7244 
 
 7279 
 
 7313 
 
 32 
 
 7348 
 
 7383 
 
 7418 
 
 7453 
 
 7483 
 
 7523 
 
 7558 
 
 7594 
 
 7629 
 
 7664 
 
 33 
 
 7700 
 
 7736 
 
 7771 
 
 7807 
 
 7843 
 
 7879 
 
 7915 
 
 7951 
 
 7987 
 
 8023 
 
 34 
 
 8059 
 
 8096 
 
 8132 
 
 8168 
 
 8205 
 
 8242 
 
 8278 
 
 8315 
 
 8352 
 
 8389 
 
 35 
 
 8426 
 
 8463 
 
 8500 
 
 8537 
 
 8575 
 
 8612 
 
 8649 
 
 8687 
 
 8725 
 
 8762 
 
 36 
 
 8800 
 
 8838 
 
 8876 
 
 8914 
 
 8952 
 
 8990 
 
 9028 
 
 9066 
 
 9 I0 5 
 
 9 J 43 
 
 37 
 
 9181 
 
 9220 
 
 9259- 
 
 9297 
 
 9336 
 
 9375 
 
 9414 
 
 9453 
 
 9492 
 
 9531 
 
 38 
 
 9570 
 
 9610 
 
 9649 
 
 9688 
 
 9728 
 
 9/68 
 
 9807 
 
 9847 
 
 9887 
 
 9927 
 
 39 
 
 9967 
 
 10007 
 
 10047 
 
 10087 
 
 10127 
 
 10168 
 
 10208 
 
 10248 
 
 10289 
 
 10330 
 
 40 
 
 10370 
 
 10411 
 
 10452 
 
 10493 
 
 10534 
 
 10575 
 
 10616 
 
 10657 
 
 10699 
 
 10740 
 
 4i 
 
 10781 
 
 10823 
 
 10865 
 
 10906 
 
 10948 
 
 10990 
 
 11032 
 
 11074 
 
 11116 
 
 11158 
 
 42 
 
 1 1 200 
 
 11242 
 
 11285 
 
 11327 
 
 11369 
 
 11412 
 
 II455 
 
 11497 
 
 11540 
 
 H5S3 
 
 43 
 
 11626 
 
 11669 
 
 11712 
 
 H755 
 
 11798 
 
 11842 
 
 11885 
 
 11928 
 
 11972 
 
 12016 
 
 44 | i 205 9 
 
 12103 
 
 12147 
 
 12191 
 
 12235 
 
 12279 
 
 12323 
 
 12367 
 
 12411 
 
 12456 
 
 45 
 
 12500 
 
 12544 
 
 12589 
 
 12634 
 
 12678 
 
 12723 
 
 12768 
 
 12813 
 
 12858 
 
 12903 
 
 46 
 
 12948 
 
 12993 
 
 13039 
 
 13084 
 
 13129 
 
 I3I75 
 
 13221 
 
 13266 
 
 13312 
 
 13358 
 
 47 
 
 13404 
 
 13450 
 
 13496 
 
 13542 
 
 13588 
 
 13634 
 
 13681 
 
 13727 
 
 13773 
 
 13820 
 
 48 13867 
 
 139*3 
 
 13960 
 
 14007 
 
 14054 
 
 14101 
 
 14148 
 
 I4I95 
 
 14242 
 
 14290 
 
 49 
 
 14337 
 
 14384 
 
 14432 
 
 14480 
 
 14527 
 
 14575 
 
 14623 
 
 14671 
 
 14719 
 
 14767 
 
 50 
 
 14815 
 
 14863 
 
 14911 
 
 14960 
 
 15008 
 
 15056 
 
 15105 
 
 I5I54 
 
 15202 
 
 15251 
 
 5i 
 
 15300 
 
 15349 
 
 1539 s 
 
 15447 
 
 15496 
 
 15545 
 
 15595 
 
 15644 
 
 15693 
 
 15743 
 
 52 
 
 15793 
 
 15842 
 
 15892 
 
 15942 
 
 15992 
 
 16042 
 
 16092 
 
 16142 
 
 16192 
 
 16242 
 
 53 
 
 16293 
 
 16343 
 
 16393 
 
 16444 
 
 16495 
 
 16545 
 
 16596 
 
 16647 
 
 16698 
 
 16749 
 
 54 
 
 16800 
 
 16851 
 
 16902 
 
 16954 
 
 17005 
 
 17056 
 
 17108 
 
 17160 
 
 17211 
 
 17263 
 
 55 
 
 I73I5 
 
 17367 
 
 17419 
 
 17471 
 
 17523 
 
 17575 
 
 17627 
 
 17680 
 
 17732 
 
 17784 
 
 56 
 
 1/837 
 
 17890 
 
 17942 
 
 17995 
 
 18048 
 
 18101 
 
 18154 
 
 18207 
 
 18260 
 
 18313 
 
 57 
 
 18367 
 
 18420 
 
 18473 
 
 18527 
 
 18581 
 
 18634 
 
 18688 
 
 18742 
 
 18796 
 
 18850 
 
 58 
 
 18904 
 
 18958 
 
 19012 
 
 19066 
 
 19121 
 
 I9I75 
 
 19229 
 
 19284 
 
 19339 
 
 19393 
 
 59 
 
 19448 
 
 19503 
 
 19558 
 
 19613 
 
 19668 
 
 19723 
 
 19778 
 
 i9 8 34 
 
 19889 
 
 19944 
 
 60 
 
 2OOOO 
 
 20056 
 
 201 1 1 
 
 20167 
 
 20223 
 
 20279 
 
 20335 
 
 20391 
 
 20447 
 
 20503 
 
 
 
 .O .1 
 
 .2 
 
 3 -4 i -5 -6 .7 -8 .9 
 
66 
 
 TABLE No. 
 
 Plus Corrections for s -~- 1. 
 
 "o 
 
 
 i 
 
 
 
 
 
 
 
 
 
 1 
 
 .0 
 
 ,i 
 
 .2 
 
 3 
 
 4 
 
 .5 
 
 .6 
 
 
 
 7 
 
 .8 
 
 9 
 
 O 
 
 o.o 
 
 o.o 
 
 O.O 
 
 o.o 
 
 o.o 
 
 O.I 
 
 O.I 
 
 0.2 
 
 0.2 
 
 0-3 
 
 I 
 
 0.3 
 
 0.4 
 
 0.4 
 
 0-5 
 
 0.6 
 
 0.7 
 
 0.8 
 
 0.9 
 
 I.O 
 
 i.i 
 
 2 
 
 1.2 
 
 1.4 
 
 1-5 
 
 1.6 
 
 1.8 
 
 1.9 
 
 2.1 
 
 2.2 
 
 2.4 
 
 2.6 
 
 3 
 
 2.8 
 
 3-o 
 
 3-2 
 
 3-4 
 
 3-6 
 
 3.8 
 
 4.0 
 
 4.2 
 
 4-5 
 
 4-7 
 
 4 
 
 4-9 
 
 5-2 
 
 5-4 
 
 5-7 
 
 6.0 
 
 6-3 
 
 6-5 
 
 6.8 
 
 7.1 
 
 74 
 
 5 
 
 7-7 
 
 8.0 
 
 8-3 
 
 8-7 
 
 9.0 
 
 9-3 
 
 9-7 
 
 IO.O 
 
 10.4 
 
 10.7 
 
 -6 
 
 ii. i 
 
 "n-5 
 
 11.9 
 
 12.3 
 
 12.6 
 
 13.0 
 
 13-4 
 
 13-9 
 
 14-3 
 
 14.7 
 
 7 
 
 15-1 
 
 15-6 
 
 16.0 
 
 16.4 
 
 16.9 
 
 17.4 
 
 17.8 
 
 18.3 
 
 18.8 
 
 19-3 
 
 8 
 
 19.8 
 
 20.3 
 
 20.8 
 
 21.3 
 
 21.8 
 
 22.3 
 
 22.8 
 
 23-4 
 
 23-9 
 
 24-4 
 
 9 
 
 25.0 
 
 .25.6 
 
 26.1 
 
 26.7 
 
 27.3 
 
 27-9 
 
 28.4 
 
 29.0 
 
 29.6 
 
 30-3 
 
 10 
 
 30-9 
 
 31-5 
 
 32.1 
 
 32-7 
 
 33-4 
 
 34-0 
 
 34-7 
 
 35-3 
 
 36.0 
 
 36.7 
 
 ii 
 
 37-3 
 
 38.0 
 
 38.7 
 
 39-4 
 
 40.1 
 
 40.8 
 
 4i-5 
 
 42.3 
 
 43-0 
 
 43-7 
 
 12 
 
 44-4 
 
 45-2 
 
 45-9 
 
 46-7 
 
 47-5 
 
 48.2 
 
 49-0 
 
 49.8 
 
 50.6 
 
 51.4 
 
 13 
 
 52.2 
 
 53-0 
 
 53-8 
 
 54-6 
 
 554 
 
 56.2 
 
 57-1 
 
 57-9 
 
 58.8 
 
 59-6 
 
 14 
 
 60.5 
 
 61.4 
 
 62.2 
 
 63.1 
 
 64.0 
 
 64.9 
 
 65.8 
 
 66.7 
 
 67.6 
 
 68.5 
 
 15 
 
 69.4 
 
 70.4 
 
 7i-3 
 
 72.3 
 
 73-2 
 
 74.2 
 
 75-i 
 
 76.1 
 
 77.0 
 
 78.0 
 
 iG 
 
 79.0 
 
 So.o 
 
 Si.o 
 
 82.0 
 
 83.0 
 
 84.0 
 
 85.0 
 
 86.1 
 
 87.1 
 
 88.2 
 
 17 
 
 89.2 
 
 9-3 
 
 9 r -3 
 
 92.4 
 
 934 
 
 94-5 
 
 95-6 
 
 96.7 
 
 97-8 
 
 98.9 
 
 i3 
 
 100.0 
 
 IOI.I 
 
 IO2.2 
 
 103.4 
 
 104.5 
 
 105.6 
 
 106.8 
 
 107.9 
 
 109.1 
 
 1 10.2 
 
 ID 
 
 111.4 
 
 II2.6 
 
 H3.8 
 
 115.0 
 
 116.2 
 
 117.4 
 
 118.6 
 
 119.8 
 
 I2I.O 
 
 122.2 
 
 20 
 
 123.5 
 
 124.7 
 
 125.9 
 
 127.2 
 
 128.4 
 
 129-7 
 
 131.0 
 
 132.3 
 
 133-5 
 
 134-8 
 
 21 
 
 136.1 
 
 137.4 
 
 138.7 
 
 140.0 
 
 141-3 
 
 142.7 
 
 144.0 
 
 145-3 
 
 146.7 
 
 148.0 
 
 22 
 
 149.4 
 
 150.7 
 
 I52.I 
 
 153-5 
 
 .154-9 
 
 156.3 
 
 157-6 
 
 159.0 
 
 160.4 
 
 161.9 
 
 23 
 
 163.3 
 
 164.7 
 
 I66.I 
 
 167.6 
 
 169.0 
 
 170.4 
 
 171.9 
 
 173-4 
 
 174.8 
 
 176.3 
 
 24 
 
 177.8 
 
 179-3 
 
 180.8 
 
 182.3 
 
 183.8 
 
 185-3 
 
 186.8 
 
 188.3 
 
 lSg.8 
 
 I9I.4 
 
 25 
 
 192.9 
 
 194.4 
 
 196.0 
 
 197.6 
 
 199.1 
 
 200.7 
 
 202.3 
 
 203.9 
 
 2054 
 
 207.0 
 
 26 
 
 208.6 
 
 210.3 
 
 211.9 
 
 213-5 
 
 215.1 
 
 216.7 
 
 218.4 
 
 22O.O 
 
 221.7 
 
 223.3 
 
 27 
 
 225.0 
 
 226.7 
 
 228.3 
 
 230.0 
 
 231.7 
 
 233-4 
 
 235-1 
 
 236.8 
 
 238.5 
 
 240.3 
 
 28 
 
 242.0 
 
 243.7 
 
 245-4 
 
 247-2 
 
 248.9 
 
 250.7 
 
 252.5 
 
 254.2 
 
 256.0 
 
 257.8 
 
 2g 
 
 259.6 
 
 261.4 
 
 263.2 
 
 265.0 
 
 266.8 
 
 268.6 
 
 270.4 
 
 272.2 
 
 274.1 
 
 275-9 
 
 30 
 
 277.8 
 
 279.6 
 
 281.5 
 
 283.4 
 
 285.2 
 
 287.1 
 
 289.0 
 
 290.9 
 
 292.8 
 
 294-7 
 
 31 
 
 296.6 
 
 298.5 
 
 300.4 
 
 302.4 
 
 304-3 
 
 306.3 
 
 308.2 
 
 310.2 
 
 3I2.I 
 
 3I4.I 
 
 32 
 
 316.0 
 
 318.0 
 
 320.0 
 
 322.0 
 
 324.0 
 
 326.0 
 
 328.0 
 
 330.0 
 
 332.0 
 
 334-1 
 
 33 
 
 336.1 
 
 338.2 
 
 340.2 
 
 342.3 
 
 344-3 
 
 346.4 
 
 348.4 
 
 350.5 
 
 352.6 
 
 354-7 
 
 34 
 
 356.8 
 
 358.9 
 
 361.0 
 
 363-1 
 
 365-2 
 
 3674 
 
 369-5 
 
 371.6 
 
 373-8 
 
 375-9 
 
 35 
 
 373.1 
 
 380.2 
 
 382.4 
 
 384-6 
 
 386.8 
 
 389-0 
 
 391.2 
 
 393-4 
 
 395-6 
 
 397-8 
 
 36 
 
 400.0 
 
 402.2 
 
 404-5 
 
 406.7 
 
 408.9 
 
 411.2 
 
 4134 
 
 4I5-7 
 
 418.0 
 
 420.3 
 
 37 
 
 422.5 
 
 424.8 
 
 427.1 
 
 4294 
 
 431-7 
 
 434-0 
 
 436.3 
 
 438.7 
 
 441.0 
 
 443-3 
 
 38 
 
 445-7 
 
 448.0 
 
 450.4 
 
 452.7 
 
 455-1 
 
 457-5 
 
 459-9 
 
 462.3 
 
 464.6 
 
 467.0 
 
 39 
 
 469.4 
 
 471.9 
 
 474-3 
 
 476.7 
 
 479.1 
 
 481.6 
 
 484.0 
 
 486.4 
 
 488.9 
 
 491.4 
 
 40 
 
 493-8 
 
 496.3 
 
 498.8 
 
 501.3 
 
 503-8 
 
 506.2 
 
 508.8 
 
 5II-3 
 
 513.8 
 
 516.3 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 7 
 
 .8 
 
 9 
 
 Minus Corrections for -~- = 
 
 NOTE. For minus corrections for ~- j j gee Table 5. 
 
67 
 
 TABLE No. 15. LEVEL CUTTINGS. *^-=H;& = l4/<?rf 
 
 -~& 
 
 &. 
 
 .0 
 
 .1 
 
 .2 
 
 3 -4 | -5 
 
 .6 
 
 7 
 
 .8 
 
 9 
 
 o 
 
 o.o 
 
 5-2 
 
 10.6 
 
 16.1 
 
 21.6 
 
 27-3 
 
 33-i 
 
 39-0 
 
 45-0 
 
 51-2 
 
 I 
 
 574 
 
 63.8 
 
 70.2 
 
 76.8 
 
 83.5 
 
 90-3 
 
 97-2 
 
 104.2 
 
 111.3 
 
 118.6 
 
 2 
 
 125.9 
 
 1334 
 
 141.0 
 
 148.6 
 
 156.4 
 
 164.4 
 
 172.4 
 
 180.5 
 
 188.7 
 
 IQ7-I 
 
 3 
 
 205.6 
 
 214.1 
 
 222.8 
 
 231.6 
 
 240.5 
 
 249-5 
 
 258.7 
 
 267.9 
 
 277-3 
 
 286.7 
 
 4 
 
 296.3 
 
 306.0 
 
 315.8 
 
 325.7 
 
 335-7 
 
 345-8 
 
 356.1 
 
 366.4 
 
 376.9 
 
 387.5 
 
 5 
 
 398.1 
 
 408.9 
 
 419.9 
 
 430.9 
 
 442.0 
 
 453-2 
 
 464.6 
 
 476.1 
 
 487.6 
 
 499-3 
 
 6 
 
 511.1 
 
 523.0 
 
 535-0 
 
 547.2 
 
 5594 
 
 571-8 
 
 584.2 
 
 596.8 
 
 609.5 
 
 622.3 
 
 7 
 
 635-2 
 
 648.2 
 
 661.3 
 
 674.6 
 
 687.9 
 
 701.4 
 
 715.0 
 
 728.6 
 
 742.4 
 
 7564 
 
 8 
 
 770.4 
 
 784.5 
 
 798.7 
 
 813-1 
 
 827.6 
 
 842.1 
 
 856.8 
 
 871.6 
 
 886.5 
 
 901.5 
 
 9 
 
 916.7 
 
 931.9 
 
 947-3 
 
 962.7 
 
 978.3 
 
 994-0 
 
 1010 
 
 1026 
 
 1042 
 
 1058 
 
 10 
 
 1074 
 
 1090 
 
 1167 
 
 1123 
 
 1140 
 
 H57 
 
 1174 
 
 1191 
 
 1208 
 
 1225 
 
 ii 
 
 1243 
 
 1260 
 
 1278 
 
 1295 
 
 1313 
 
 I33i 
 
 1349 
 
 1367 
 
 1385 
 
 1404 
 
 12 
 
 1422 
 
 1441 
 
 1459 
 
 1478 
 
 1497 
 
 1516 
 
 1535 
 
 1555 
 
 1574 
 
 1593 
 
 13 
 
 1613 
 
 1633 
 
 1652 
 
 1672 
 
 1692 
 
 1713 
 
 1733 
 
 1753 
 
 1774 
 
 1794 
 
 14 
 
 1815 
 
 1836 
 
 1857 
 
 1878 
 
 1899 
 
 1920 
 
 1941 
 
 1963 
 
 1984 
 
 2006 
 
 15 
 
 2028 
 
 2050 
 
 2072 
 
 2094 
 
 2116 
 
 2138 
 
 2161 
 
 2183 
 
 2206 
 
 2229 
 
 16 
 
 2252 
 
 2275 
 
 2298 
 
 2321 
 
 2345 
 
 2368 
 
 2392 
 
 2415 
 
 2439 
 
 2463 
 
 17 
 
 2487 
 
 2511 
 
 2535 
 
 2560 
 
 2584 
 
 2609 
 
 2633 
 
 2658 
 
 2683 
 
 2708 
 
 iS 
 
 2733 
 
 2759 
 
 2784 
 
 2809 
 
 2835 
 
 2861 
 
 2886 
 
 2912 
 
 2938 
 
 2965 
 
 19 
 
 2991 
 
 3017 
 
 3044 
 
 3070 
 
 3097 
 
 3124 
 
 3151 
 
 3178 
 
 3205 
 
 3232 
 
 20 
 
 3259 
 
 3287 
 
 3314 
 
 3342 
 
 3370 
 
 3398 
 
 3426 
 
 3454 
 
 3482 
 
 35io 
 
 21 
 
 3539 
 
 3567 
 
 3596 
 
 3625 
 
 3654 
 
 3683 
 
 3712 
 
 3741 
 
 3771 
 
 3800 
 
 22 
 
 3830 
 
 3359 
 
 3889 
 
 3919 
 
 3949 
 
 3979 
 
 4009 
 
 4040 
 
 4070 
 
 4101 
 
 23 
 
 4131 
 
 4162 
 
 4193 
 
 4224 
 
 4255 
 
 4287 
 
 4318 
 
 4349 
 
 438i 
 
 4413 
 
 24 
 
 4444 
 
 4476 
 
 4508 
 
 4541 
 
 4573 
 
 4605 
 
 4638 
 
 4670 
 
 4703 
 
 4736 
 
 25 
 
 4769 
 
 4802 
 
 4835 
 
 4868 
 
 4901 
 
 4935 
 
 4968 
 
 5002 
 
 5036 
 
 5070 
 
 26 
 
 5104 
 
 5138 
 
 5172 
 
 5206 
 
 5241 
 
 5275 
 
 5310 
 
 5345 
 
 538o 
 
 5415 
 
 27 
 
 5450 
 
 5485 
 
 5521 
 
 5556 
 
 5592 
 
 5627 
 
 5663 
 
 5699 
 
 5735 
 
 577i, 
 
 28 
 
 5807 
 
 5844 
 
 5880 
 
 59 J 7 
 
 5953 
 
 5990 
 
 6027 
 
 6064 
 
 6101 
 
 6139 
 
 29 
 
 6176 
 
 6213 
 
 6251 
 
 6289 
 
 6326 
 
 6364 
 
 6402 
 
 6441 
 
 6479 
 
 6517 
 
 30 
 
 6556 
 
 6594 
 
 6633 
 
 6672 
 
 6711 
 
 6750 
 
 6789 
 
 6828 
 
 6867 
 
 6907 
 
 31 
 
 6946 
 
 6986 
 
 7026 
 
 7066 
 
 7106 
 
 7146 
 
 7186 
 
 7226 
 
 7267 
 
 7307 
 
 32 
 
 7343 
 
 7389 
 
 7430 
 
 7471 
 
 7512 
 
 7553 
 
 7595 
 
 7636 
 
 7678 
 
 7719 
 
 33 
 
 7761 
 
 7803 
 
 7845 
 
 7887 
 
 7929 
 
 7972 
 
 8014 
 
 8057 
 
 8099 
 
 8142 
 
 34 
 
 8185 
 
 8228 
 
 8271 
 
 8315 
 
 8358 
 
 8401 
 
 8445 
 
 8489 
 
 8532 
 
 8576 
 
 35 
 
 8620 
 
 8665 
 
 8709 
 
 8753 
 
 8798 
 
 8842 
 
 8887 
 
 8932 
 
 8977 
 
 9022 
 
 36 
 
 9067 
 
 9112 
 
 9*57 
 
 9203 
 
 9248 
 
 9294 
 
 9340 
 
 9386 
 
 9432 
 
 9478 
 
 37 
 
 9524 
 
 95/0 
 
 9617 
 
 9663 
 
 9710 
 
 9757 
 
 9804 
 
 9851 
 
 9898 
 
 9945 
 
 38 
 
 9993 
 
 10040 
 
 zooSS 
 
 10135 
 
 10183 
 
 10231 
 
 10279 
 
 10327 
 
 10375 
 
 10424 
 
 39 
 
 10472 
 
 10521 
 
 10569 
 
 10618 
 
 10667 
 
 10716 
 
 10765 
 
 10815 
 
 10864 
 
 10913 
 
 40 
 
 10963 
 
 11013 
 
 11062 
 
 IIII2 
 
 11162 
 
 11213 
 
 11263 
 
 H3I3 
 
 11364 
 
 11414 
 
 41 
 
 11465 
 
 11516 
 
 11567 
 
 Il6l8 
 
 11669 
 
 11720 
 
 11771 
 
 11823 
 
 11874 
 
 11926 
 
 42 
 
 11978 
 
 12030 
 
 12082 
 
 I2I34 
 
 12186 
 
 12238 
 
 12291 
 
 12343 
 
 12396 
 
 12449 
 
 43 
 
 12502 
 
 12555 
 
 12608 
 
 I266I 
 
 12715 
 
 12768 
 
 12822 
 
 12875 
 
 12929 
 
 12983 
 
 44 
 
 13037 
 
 13091 
 
 I3I45 
 
 I32OO 
 
 13254 
 
 13309 
 
 13363 
 
 13418 
 
 13473 
 
 13528 
 
 45 
 
 13583 
 
 13639 
 
 13694 
 
 13749 
 
 13805 
 
 13861 
 
 13916 
 
 13972 
 
 14028 
 
 14085 
 
 46 
 
 14141 
 
 14197 
 
 14254 
 
 I43IO 
 
 14367 
 
 14424 
 
 14481 
 
 14538 
 
 14595 
 
 14652 
 
 47 
 
 14709 
 
 14767 
 
 14824 
 
 14882 
 
 14940 
 
 14998 
 
 15056 
 
 I5H4 
 
 15172 
 
 15230 
 
 48 
 
 15289 
 
 15347 
 
 15406 
 
 15465 
 
 15524 
 
 15583 
 
 15642 
 
 15701 
 
 15761 
 
 15820 
 
 49 
 
 15880 
 
 15939 
 
 J 5999 
 
 16059 
 
 16119 
 
 16179 
 
 16239 
 
 16300 
 
 16360 
 
 16421 
 
 50 
 
 16481 
 
 16542 
 
 16603 
 
 16664 
 
 16725 
 
 16787 
 
 16848 
 
 16909 
 
 16971 
 
 17033 
 
 5i 
 
 17094 
 
 17156 
 
 17218 
 
 I728l 
 
 17343 
 
 17405 
 
 17468 
 
 17530 
 
 17593 
 
 17656 
 
 52 
 
 I77I9 
 
 17782 
 
 17845 
 
 17908 
 
 17971 
 
 18035 
 
 18098 
 
 18162 
 
 18226 
 
 18290 
 
 53 
 
 18354 
 
 18418 
 
 18482 
 
 18546 
 
 18611 
 
 18675 
 
 18740 
 
 18805 
 
 18870 
 
 18935 
 
 54 
 
 19000 
 
 19065 
 
 19131 
 
 19196 
 
 19262 
 
 19327 
 
 19393 
 
 T 9459 
 
 19525 
 
 I959I 
 
 55 
 
 i9 6 57 
 
 19724 
 
 19790 
 
 19857 
 
 19923 
 
 19990 
 
 20057 
 
 20124 
 
 20191 
 
 20259 
 
 56 
 
 20326 
 
 20393 
 
 20461 
 
 20529 
 
 20596 
 
 20664 
 
 20732 
 
 20801 
 
 20869 
 
 20937 
 
 57 
 
 21006 
 
 21074 
 
 21143 
 
 2I2I2 
 
 21281 
 
 21350 
 
 21419 
 
 21488 
 
 21557 
 
 21627 
 
 58 
 
 21696 
 
 21766 
 
 21836 
 
 21906 
 
 21976 
 
 22046 
 
 22116 
 
 22186 
 
 22257 
 
 22327 
 
 59 
 
 22398 
 
 22469 
 
 22540 
 
 226II 
 
 22682 
 
 22753 
 
 22825 
 
 22896 
 
 22968 
 
 23039 
 
 60 
 
 23111 
 
 23183 
 
 23255 
 
 23327 
 
 23399 
 
 23472 
 
 23544 
 
 23617 
 
 23689 23762 j 
 
 
 .0 | .1 
 
 .2 .3 
 
 4 -5 
 
 .6 
 
 7 1 -8 i .9 
 
63 
 TABLE jSTo. 1C. LEVEL CLTTTIXOS. ^p- = H ; Z> = 2f 
 
 b -o j .1 
 
 .2 
 
 .3 
 
 4 
 
 5 -6 .7 j .8 | .9 
 
 o o.o 
 
 9-7 
 
 19-5 
 
 29.4 
 
 39-4 
 
 49-5 59-8 70.1 
 
 80.6 
 
 91.2 
 
 I 
 
 101.9 
 
 II2.6 
 
 123.6 
 
 134.6 
 
 145-7 
 
 156.9 
 
 168.3 
 
 179.8 
 
 I 9 I -3 
 
 203.0 
 
 2 
 
 214.8 
 
 226.7 
 
 238.7 
 
 250.9 
 
 263.1 
 
 275-5 
 
 287.91 300.5 
 
 313-2 
 
 326.0 
 
 3| 33-9 
 
 351-9 
 
 365.0 
 
 378.3 
 
 391.6 
 
 405-1 
 
 418.7 432.4 
 
 446.1 
 
 460.1 
 
 4 
 
 474-1 
 
 488.2 
 
 502.4 
 
 516.8 
 
 531.3 
 
 545.8 
 
 560.5 
 
 575-3 
 
 590-2 
 
 605.2 
 
 5 
 
 620.4 
 
 635-6 
 
 651.0 
 
 666.4 
 
 682.0 
 
 697.7 
 
 7i3j5 
 
 729.4 
 
 7454 
 
 761.5 
 
 C 
 
 777-8 
 
 794-1 
 
 810.6 
 
 827.2 
 
 843.9 
 
 860.6 
 
 877* 
 
 894.6 
 
 911.7 
 
 928.9 
 
 7 
 
 946.3 
 
 963.8 
 
 981.3 
 
 999.0 
 
 1017 
 
 1035 
 
 1053 
 
 1071 
 
 1089 
 
 H07 
 
 8 
 
 1126 
 
 H45 
 
 Il63 
 
 1182 
 
 I2OI 
 
 I22O 
 
 1239 
 
 1258 
 
 1278 
 
 1297 
 
 9 
 
 1317 
 
 1336 
 
 1356 
 
 1376 
 
 1396 
 
 I4l6 
 
 1436 
 
 1457 
 
 1477 
 
 1498 
 
 10 
 
 1519 
 
 1539 
 
 1560 
 
 1581 
 
 1602 
 
 1624 
 
 1645 
 
 1666 
 
 1688 
 
 1710 
 
 ii 
 
 1732 
 
 1753 
 
 1775 
 
 1798 
 
 1820 
 
 1842 
 
 1865 
 
 1887 
 
 1910 
 
 1933 
 
 12 
 
 1956 
 
 ^)79 
 
 2OO2 
 
 2025 
 
 2048 
 
 2072 
 
 2095 
 
 2119 
 
 2143 
 
 2167 
 
 *3 
 
 2191 
 
 2215 
 
 2239 
 
 2264 
 
 2288 
 
 2312 
 
 2337 
 
 2362 
 
 2387 
 
 2412 
 
 14 
 
 2437 
 
 2462 
 
 2488 
 
 2513 
 
 2539 
 
 2564 
 
 2590 
 
 2616 
 
 2642 
 
 2668 
 
 15 
 
 2694 
 
 2721 
 
 2747 
 
 2774 
 
 2801 
 
 2827 
 
 2854 
 
 2881 
 
 2908 
 
 2936 
 
 16 
 
 2963 
 
 2990 
 
 3018 
 
 3046 
 
 3074 
 
 3101 
 
 3129 
 
 3158 
 
 3186 
 
 3214 
 
 17 
 
 3243 
 
 3271 
 
 3300 
 
 3329 
 
 3358 
 
 3387 
 
 3416 
 
 3445 
 
 3474 
 
 3504 
 
 18 
 
 3533 
 
 3563 
 
 3593 
 
 3623 
 
 3653 
 
 3683 
 
 3713 
 
 3744 
 
 3774 
 
 3804 
 
 19 
 
 3835 
 
 3866 
 
 3897 
 
 3928 
 
 3959 
 
 3990 
 
 4022 
 
 4053 
 
 4085 
 
 4Il6 
 
 20 
 
 4148 
 
 4180 
 
 4212 
 
 4244 
 
 4276 
 
 4309 
 
 4341 
 
 4374 
 
 4407 
 
 4439 
 
 21 
 
 4472 
 
 4505 
 
 4538 
 
 4572 
 
 4605 
 
 4638 
 
 4672 
 
 4706 
 
 4740 
 
 4773 
 
 22 
 
 4807 
 
 4842 
 
 4876 
 
 4910 
 
 4945 
 
 4979 
 
 5014 
 
 5049 
 
 5084 
 
 5H9 
 
 23 5154 
 
 5189 
 
 5224 
 
 5260 
 
 5295 
 
 5331 
 
 5367 
 
 5403 
 
 5439 
 
 5475 
 
 2 4 I 55H 
 
 5548 
 
 5584 
 
 5620 
 
 5657 
 
 5694 
 
 573i 
 
 5768 
 
 5805 . 
 
 5842 
 
 25 1 5880 
 
 5917 
 
 5955 
 
 5992 
 
 6030 
 
 6068 
 
 6106 
 
 6i44 
 
 6182 
 
 6221 
 
 26 6259 
 
 6298 
 
 6337 
 
 6375 
 
 6414 
 
 6453 
 
 6492 
 
 6532 
 
 6571 
 
 6610 
 
 27 ; 6650 
 
 6690 
 
 6730 
 
 6769 
 
 6809 
 
 6850 
 
 6890 
 
 6930 
 
 6971 
 
 7011 
 
 28 
 
 7052 
 
 7093 
 
 7134 
 
 7175 
 
 7216 
 
 7257 
 
 7298 
 
 7340 
 
 738i 
 
 7423 
 
 29 7465 
 
 7507 
 
 7549 
 
 7591 
 
 7633 
 
 7676 
 
 7718 
 
 776o 
 
 7803 
 
 7846 
 
 30 
 
 7889 
 
 7932 
 
 7975 
 
 8018 
 
 8062 
 
 8105 
 
 8149 
 
 8192 
 
 8236 
 
 8280 
 
 3i 
 
 8324 
 
 8368 
 
 8412 
 
 8457 
 
 8501 
 
 8546 
 
 8591 
 
 8635 
 
 8680 
 
 8725 
 
 32 8770 
 
 8816 
 
 8861 
 
 8906 
 
 8952 
 
 8998 
 
 9044 
 
 9089 
 
 9*35 
 
 9182 
 
 33 9 22 3 
 
 92/4 
 
 9321 1 9367 
 
 94U 
 
 946i 
 
 9508 
 
 9555 
 
 9602 
 
 9649 
 
 34 9696 
 
 9744 
 
 9791 9839 
 
 9887 
 
 9935 
 
 9983 
 
 10031 10079 
 
 10128 
 
 35 10176 
 
 10224 
 
 10273 10322 
 
 10371 
 
 10420 
 
 10469 
 
 10518 10568 
 
 10617 
 
 36 10667 
 
 10716 
 
 10766 
 
 10816 
 
 10866 
 
 10916 
 
 10966 
 
 11017 
 
 11067 
 
 iui3 
 
 37 11169 
 
 11219 
 
 11270 
 
 11321 
 
 11372 
 
 11424 
 
 H475 
 
 11526 
 
 "578 
 
 11630 
 
 38:11682 
 
 H733 
 
 11785 
 
 11838 
 
 11890 
 
 11942 
 
 H995 
 
 12047 
 
 I2IOO 
 
 12153 
 
 39 12206 
 
 12259 
 
 12312 
 
 12365 
 
 12418 
 
 12472 
 
 12525 
 
 12579 
 
 12633 
 
 12687 
 
 40112741 
 
 12795 
 
 12849 
 
 12904 
 
 12958 
 
 13012 
 
 13067 
 
 13122 
 
 I3I77 
 
 13232 
 
 41 13287 
 
 13342 
 
 13393 
 
 13453 
 
 13509 
 
 13564 
 
 13620 
 
 13676 13732 
 
 13788 
 
 42 13844 
 
 13901 
 
 13957 
 
 14014 
 
 14071 
 
 14127 
 
 14184 
 
 14241 14298 
 
 14356 
 
 43 14413 
 
 14470 
 
 14528 
 
 14586 
 
 14644 
 
 14701 
 
 14759 
 
 14818 
 
 14876 
 
 14934 
 
 44(14993 
 
 15051 
 
 15110 
 
 15169 
 
 15228 
 
 15287 
 
 15346 
 
 15405 15464 
 
 15524 
 
 45 15583 
 
 15643 
 
 *5703 
 
 15763 
 
 15823 
 
 15883 
 
 15943 
 
 16004 16064 
 
 16124 
 
 46|i6iS5 
 
 16246 
 
 16307 
 
 16368 
 
 16429 
 
 16490 
 
 16552 
 
 16613 16675 
 
 16736 
 
 47 |i67 9 8 
 
 16860 
 
 16922 
 
 16984 
 
 17046 
 
 17109 
 
 17171 
 
 17234 117297 
 
 17359 
 
 48117422 
 
 17485 
 
 17548 
 
 17612 
 
 17675 
 
 17738 
 
 17802 
 
 17866 17930 
 
 17993 
 
 49 -18057 
 
 18122 
 
 18186 
 
 18250 
 
 18315 
 
 18379 
 
 18444 
 
 18509 18574 
 
 18639 
 
 50 18704 
 
 18769 
 
 18834 
 
 18900 
 
 18965 
 
 19031 
 
 19097 
 
 19163 19229 
 
 19295 
 
 5i 19361 
 
 19428 
 
 19494 
 
 19560 
 
 19627 
 
 19694 
 
 19761 
 
 19828 19895 
 
 19962 
 
 52 20030 
 
 20097 
 
 20165 
 
 20232 
 
 20300 
 
 20368 
 
 20436 
 
 20504 20572 
 
 20641 
 
 53 20709 
 
 20778 
 
 20847 
 
 20915 
 
 20984 
 
 21053 
 
 2II22 
 
 21192 21261 
 
 21330 
 
 54 21400 
 
 21470 
 
 21540 
 
 21609 
 
 21679 
 
 21750 
 
 21820 
 
 21890 21961 
 
 22031 
 
 55 22102 
 
 22173 
 
 22244 
 
 22315 
 
 22386 
 
 22457 
 
 22528 
 
 22600 22671 
 
 22743 
 
 56 22815 
 
 22887 
 
 22959 
 
 23031 
 
 23103 
 
 23176 
 
 23248 
 
 23320 23393 
 
 23466 
 
 57 [23539 
 
 23612 
 
 23685 
 
 23758 
 
 23832 
 
 23905 
 
 23979 
 
 24052 24126 
 
 24200 
 
 58 24274 
 
 24348 
 
 24422 
 
 24497 
 
 24571 
 
 24646 
 
 24721 
 
 24795 24870 
 
 24945 
 
 59 25020 
 
 25096 
 
 25171 
 
 25246 
 
 25322 
 
 25398 
 
 25474 
 
 25549 
 
 25625 
 
 25702 
 
 60 25778 
 
 25854 
 
 25931 
 
 26007 
 
 26084 
 
 26161 
 
 26238 
 
 26315 
 
 26392 
 
 26469 
 
 
 .0 .1 
 
 .2 .3 .4 -5 
 
 .6 
 
 7 -8 
 
 9 
 
69 
 
 TABLE No. 17. 
 
 Plus Corrections for - 
 
 s 
 
 fS( 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 7 
 
 .3 | , 
 
 
 
 o.o 
 
 0.0 
 
 O.O 
 
 0.0 
 
 O.I 
 
 O.I 
 
 0.2 
 
 0.2 
 
 0-3 
 
 0.4 
 
 I 
 
 o-5 
 
 0.6 
 
 0.7 
 
 0.8 
 
 0.9 
 
 1.0 
 
 1.2 
 
 i-3 
 
 i-5 
 
 i-7 
 
 2 
 
 1.9 
 
 2.Q 
 
 2 *"* 
 
 2.4 
 
 2-7 
 
 2.9 
 
 3-1 
 
 3-4 
 
 3-6 
 
 3-9 
 
 3 
 
 4.2 
 
 4-4 
 
 4-7 
 
 5-o 
 
 5-4 
 
 5-7 
 
 6.0 
 
 6-3 
 
 6.7 
 
 7-0 
 
 4 
 
 7-4 
 
 7.8 
 
 8.2 
 
 8.6 
 
 9.0 
 
 9-4 
 
 9.8 
 
 IO.2 
 
 10.7 
 
 ii. i 
 
 5 
 
 ii. 6 
 
 12.0 
 
 12.5 
 
 13.0 
 
 135 
 
 14.0 
 
 14-5 
 
 15-0 
 
 15.6 
 
 16.1 
 
 6 
 
 16.7 
 
 17.2 
 
 17.8 
 
 18.4 
 
 19.0 
 
 19.6 
 
 2O.2 
 
 20.8 
 
 21.4 
 
 220 
 
 7 
 
 22.7 
 
 23-3 
 
 24.0 
 
 24-7 
 
 25-4 
 
 26.6 
 
 26.7 
 
 27.4 
 
 28.2 
 
 28.9 
 
 8 
 
 29.6 
 
 30.4 
 
 3I-I 
 
 31-9 
 
 32-7 
 
 33-4 
 
 34-2 
 
 35-0 
 
 35-9 
 
 36.7 
 
 9 
 
 37-5 
 
 33.3 
 
 39-2 
 
 40.0 
 
 40.9 
 
 41.8 
 
 42.7 
 
 43-6 
 
 44-5 
 
 45-4 
 
 10 
 
 46.3 
 
 47.2 
 
 48.2 
 
 49.1 
 
 50.1 
 
 51-0 
 
 52. 
 
 53- 
 
 54- 
 
 55- 
 
 ii 
 
 56. 
 
 57- 
 
 58-1 
 
 59-i 
 
 60.2 
 
 61.2 
 
 62.3 
 
 63-4 
 
 64-5 
 
 65.6 
 
 12 
 
 66.7 
 
 67.8 
 
 68.9 
 
 70. 
 
 71.2 
 
 72-3 
 
 73-5 
 
 74-7 
 
 75-9 
 
 77. 
 
 13 
 
 78.2 
 
 79-4 
 
 80.7 
 
 81.9 
 
 83-1 
 
 84.4 
 
 85.6 
 
 86.9 
 
 88.2 
 
 89.4 
 
 14 
 
 90.7 
 
 92.0 
 
 93-4 
 
 94-7 
 
 96.0 
 
 97-3 
 
 93.7 
 
 IOO. 
 
 101.4 
 
 I02.S 
 
 15 
 
 104.2 
 
 105.6 
 
 107.0 
 
 108.4 
 
 109.8 
 
 III. 2 
 
 112.7 
 
 114.1 
 
 115.6 
 
 117. 
 
 16 
 
 118.5 
 
 I2O. 
 
 121.5 
 
 123. 
 
 124-5 
 
 126. 
 
 127.6 
 
 129.1 
 
 I30.7 
 
 132.2 
 
 17 
 
 133-3 
 
 135-4 
 
 137.0 
 
 138.6 
 
 140.2 
 
 I4I.8 
 
 143-4 
 
 145- 
 
 146.7 
 
 148.3 
 
 18 
 
 150. 
 
 I5I.7 
 
 153-4 
 
 155- 
 
 156.7 
 
 158.4 
 
 160.2 
 
 161.9 
 
 163-6 
 
 165.4 
 
 19 
 
 167.1 
 
 168.9 
 
 170.7 
 
 172.4 
 
 174.2 
 
 176.0 
 
 177.9 
 
 179.7 
 
 181.5 
 
 183.3 
 
 20 
 
 185.2 
 
 I8 7 . 
 
 188.9 
 
 190.8 
 
 192.7 
 
 194.6 
 
 196.5 
 
 198.4 
 
 200.3 
 
 2O2.2 
 
 21 
 
 204.2 
 
 206.1 
 
 208. i 
 
 210. 
 
 212. 
 
 214. 
 
 216. 
 
 218. 
 
 220. 
 
 222. 
 
 22 
 
 224.1 
 
 226.1 
 
 228.2 
 
 230.2 
 
 232.3 
 
 234-4 
 
 236-5 
 
 238.6 
 
 240.7 
 
 242.8 
 
 23 
 
 244.9 
 
 247. 
 
 249.2 
 
 251.3 
 
 253-5 
 
 255-7 
 
 257-9 
 
 260.0 
 
 262.2 264.4 
 
 24 
 
 266.7 268.9 
 
 271.1 
 
 273-4 
 
 275-6 
 
 277.9 
 
 280.2 
 
 282.4 
 
 284.7 
 
 287.0 
 
 25 
 
 289.4 
 
 291.7 
 
 294. 
 
 296.3 
 
 298.7 
 
 301.0 
 
 3034 
 
 305-8 
 
 308.2 
 
 310.6 
 
 25 313. 
 
 315-4 
 
 317.3 
 
 320.2 
 
 322.7 
 
 325-I 
 
 327-6 
 
 330.0 
 
 332-5 
 
 335- 
 
 27 337-5 
 
 340.0 
 
 342.5 
 
 345-0 
 
 347-6 
 
 350.1 
 
 352-7 
 
 355-2 
 
 357-3 
 
 360.4 
 
 28 363.0 
 
 365.6 
 
 368.2 
 
 370.8 
 
 373-4 
 
 376.0 
 
 373.7 
 
 381-3 
 
 384-0 
 
 386.7 
 
 29 3894 
 
 392.0 
 
 394-7 
 
 397-4 
 
 400.2 
 
 402.9 
 
 405.6 
 
 408.4 
 
 411.1 
 
 413-9 
 
 30 416.7 
 
 419.4 
 
 422.2 
 
 425.0 
 
 427-9 
 
 430-7 
 
 433-5 
 
 436.3 
 
 439-2 
 
 442.0 
 
 3 1 444-9 
 
 447-3 
 
 450.7 
 
 453-6 
 
 456.5 
 
 459-4 
 
 462.3 
 
 465-2 
 
 468.2 
 
 47I.I 
 
 32 474.1 
 
 477-0 
 
 480.0 
 
 483-0 
 
 486.0 
 
 489.0 
 
 492.0 
 
 495-0 
 
 498.1 
 
 501. T 
 
 33 I 504.2 
 
 507.2 
 
 510-3 
 
 513.4 
 
 5i6.5 
 
 519.6 
 
 522.7 
 
 525-8 
 
 528.9 
 
 532-0 
 
 34! 535-2 
 
 533.3 
 
 541-5 
 
 544-7 
 
 547-9 
 
 551-0 
 
 554-2 
 
 557-4 
 
 560.7 
 
 563.9 
 
 35 567-1 
 
 570.4 
 
 573-6 
 
 576.9 
 
 580.2 
 
 583-4 
 
 586.7 
 
 590-0 
 
 593-4 
 
 596.7 
 
 36 600.0 
 
 603.3 
 
 606.7 
 
 610.0 
 
 6i34 
 
 616.8 
 
 620.2 
 
 623.6 
 
 627.0 
 
 630.4 
 
 37 633.8 
 
 637-2 
 
 640.7 
 
 644.1 
 
 647-6 
 
 651.0 
 
 654.5 
 
 658.0 
 
 661.5 
 
 665.0 
 
 38 668.5 
 
 672.0 
 
 675-6 
 
 679-1 
 
 682.7 
 
 686.2 
 
 689.8 
 
 6934 
 
 697.0 
 
 7OO.6 
 
 39 704-2 
 
 707.8 
 
 711.4 
 
 7i5-o 
 
 718.7 
 
 722.3 
 
 726.0 
 
 729-7 
 
 733-4 
 
 737-0 
 
 40 740.7 
 
 744-4 
 
 748.2 
 
 751-9 
 
 755-6 
 
 759-4 
 
 763.1 
 
 766.9 
 
 770.7 
 
 7744 
 
 
 .0 
 
 .1 
 
 .2 
 
 3 
 
 4 
 
 5 
 
 .6 
 
 .7 
 
 .8 
 
 9 
 
 Minus Corrections for - = ^ 
 
 NOTE. The quantities from above table divided by two give the plus correc- 
 
 s4-s 3 
 tionsfor -5= T 
 
TABLE Xo. 18. 
 Factors for Correction of Contents on Carves. 
 
 ds<? 
 
 
 dj-d 
 
 
 d*d? 
 
 \*j>* 
 
 
 dsd 
 
 
 in 
 
 Factor. 
 
 in 
 
 Factor. 
 
 in 
 
 Factor. | in 
 
 Factor. 
 
 in 
 
 Factor. 
 
 feet. 
 
 
 feet. 
 
 
 feet. 
 
 [feet. 
 
 
 feet. 
 
 
 I 
 
 .OOO22 
 
 21 
 
 .00452 
 
 41 
 
 .00883 
 
 61 
 
 01314 
 
 Si 
 
 01/45 
 
 2 
 
 .00043 . 
 
 22 
 
 .00474 
 
 42 
 
 .00905 
 
 62 
 
 .01336 
 
 82 
 
 .01767 
 
 3 
 
 .00065 
 
 23 
 
 .00496 
 
 43 
 
 .00926 
 
 63 
 
 .01357 
 
 83 
 
 .01788 
 
 4 
 
 .00086 
 
 24 
 
 .00517 
 
 44 
 
 .00948 
 
 64 
 
 01379 
 
 84 
 
 .01810 
 
 5 
 
 .OOIOS 
 
 25 
 
 00539 
 
 45 
 
 .00970 
 
 65 
 
 .01400 
 
 85 
 
 .01831 
 
 6 
 
 .OOI29 
 
 26 
 
 .00560 
 
 46 
 
 .00991 
 
 66 
 
 .01422 
 
 86 
 
 .01853 
 
 7 
 
 .00151 
 
 27 
 
 .00582 
 
 47 
 
 .01013 
 
 67 
 
 01444 
 
 87 
 
 .01875 
 
 8 
 
 .OOI72 
 
 28 
 
 .00603 
 
 48 
 
 .01034 
 
 68 
 
 .01465 
 
 88 
 
 .01896 
 
 9 
 
 .00194 
 
 2 9 
 
 .00625 
 
 49 
 
 .01056 
 
 69 
 
 .01487 
 
 89 
 
 .01918 
 
 10 
 
 .00215 
 
 30 
 
 .00646 
 
 50 
 
 .01077 
 
 70 
 
 .01508 
 
 90 
 
 .01939 
 
 n 
 
 .00237 
 
 31 
 
 .00668 
 
 51 
 
 .01099 
 
 71 
 
 .01530 
 
 91 
 
 .01961 
 
 12 
 
 .00259 
 
 32 
 
 .00689 
 
 52 
 
 .01120 
 
 72 
 
 OI55I 
 
 92 
 
 .01982 
 
 13 
 
 .OO28O 
 
 33 
 
 .00711 
 
 53 
 
 .OII42 
 
 73 
 
 01573 
 
 93 
 
 .02004 
 
 M 
 
 .OO3O2 
 
 34 
 
 .00733 
 
 54 
 
 .01163 
 
 74 
 
 01594 
 
 94 
 
 .02025 
 
 15 
 
 .00323 
 
 35 
 
 .00754 
 
 55 
 
 .01185 
 
 75 
 
 .01616 
 
 95 
 
 .02047 
 
 16 
 
 00345 
 
 36 
 
 .00776 
 
 56 
 
 .OI2O7 
 
 76 
 
 .01637 
 
 96 
 
 .02068 
 
 17 
 
 .00366 
 
 37 
 
 .00797 
 
 57 
 
 .01228 
 
 77 
 
 .01659 
 
 97 
 
 .02090 
 
 18 
 
 .00388 
 
 33 
 
 .00819 
 
 58 
 
 .01250 
 
 78 
 
 .01681 
 
 98 
 
 .O2III 
 
 19 
 
 .00409 
 
 39 
 
 .00840 
 
 59 
 
 .01271 
 
 79 
 
 .01702 
 
 99 
 
 .02133 
 
 20 
 
 .00431 
 
 40 
 
 .00862 
 
 60 
 
 .01293 
 
 So 
 
 .01724 
 
 100 
 
 .02155 
 
 , _J 
 
S 
 
 5 
 
 The Construction of Tables of Contents of Level Cuttings. 
 
 Base = b ; half sum of side slopes = s. 
 
 For each 0.1 of height, the second difference = (0.074074+) 
 
 Between heights 0.0 and 0.1 first difference = -~^- 
 " 2.7 " 2.8 " " 
 
 5.4 " 5.5 " 
 
 27 
 
 Contents for a height of 0.1 = ~ 
 
 2.7 = 
 5.4 = 
 
 To write out a table of level cuttings progressing in height by tenths, 
 rule five columns carried to heights of 2. 7 when s = 1 or one of its 
 multiples, and to heights of 5.4 when s = or one of its odd multiples. 
 
 Example. (See portion of table given below) b = 28 ; s = 1. 
 Here the second difference 0.074074-f- ; first difference between 
 heights 0.0 and 0.1 = 10.407407+ ; between 2.7 and 2.8 = 12.407407+. 
 
 Place the heights from 0.0 to 2.8 in the first column ; then put 
 first difference 10.407407+ in third column opposite 0.0 in first, and 
 second difference 0.074074+ immediately above the first difference. 
 
 As a test for the continued addition of the second difference, put 
 the first difference 12.407407+ in its place in third column, opposite 
 2.7 in first. Now add 0.074074+ for each 0.1 of height up to 2.7, 
 taking care to record the repeating fractions correctly, and see that the 
 last addition gives 12.407407+ opposite 2.7. Then add each amount 
 in third column to the amount on its left in second, recording each 
 sum in the next line below, and keeping the repeating fractions cor 
 rect. The contents in second column opposite 2.7 should be = 
 10&+27s = 307.0. 
 
 JSToAV repeat the amounts in the second column to the nearest tenth, 
 placing them in the fourth column, and as before with regard to the 
 heights in the first. From the fourth column, by subtraction, write 
 the first differences anew, to the nearest tenth, in the fifth column, 
 and opposite their respective positions in the third. 
 
 For the remainder of the table, rule columns in sets of threes ; the 
 first of each set to contain respectively the heights from 2.8 to 5.4, 5.5 
 to 8.1, 8.2 to 10.8, etc. Then increase each of the first differences in 
 the 5th column by 2s 2.0, and the first differences from 2.8 to 5.4 
 are obtained for the eighth column. These again increased by 2.0 give 
 
the first differences from 5.5 to 8.1 for the eleventh column, etc. In 
 this way the first differences for the whole table may be written to one 
 place of decimals. Each first difference is to be added to the contents 
 opposite in the next column on the left, and the sum recorded in the 
 first line below. With contents calculated by Formula C = (b+hs) 
 
 i oo 
 li x -JT~- at intervals for tests, mistakes are almosfimpossible. 
 
 To carry out the table to whole numbers only, repeat the second 
 column to the nearest whole number, get the first differences to whole 
 numbers by subtraction, and proceed in all respects as above directed.* 
 
 (i) (2) (3) (4) (5) (6) (7) (8) (9) (10) (n) 
 
 3 
 
 Contents. 
 
 
 c 
 
 fca 
 
 a 
 
 c 
 
 Ha 
 
 A 
 
 c 
 
 
 
 _bc 
 
 
 0.074074 
 
 C 
 
 5 
 
 UJ 
 
 g 
 
 Q 
 
 tc 
 
 g 
 
 Q 
 
 K.O 
 
 0.000000 
 
 10.407407 
 
 
 
 U 
 
 3 
 
 o 
 33 
 
 
 
 o 
 
 
 
 & 
 
 
 
 p 
 
 ti 
 
 .1 
 
 10.407407 
 
 10.481481 
 
 10.4 
 
 10.5 
 
 2.8 
 
 3194 
 
 12.5 
 
 5-5 
 
 682.4 
 
 14-5 
 
 .2 
 
 20.888888 
 
 10-555555 
 
 20.9 
 
 10.5 
 
 9 
 
 331.9 
 
 12-5 
 
 .6 
 
 696.9 
 
 14-5 
 
 3 
 
 31.444444 
 
 10.629629 
 
 314 
 
 10.7 
 
 3-o 
 
 3444 
 
 12.7 
 
 7 
 
 711.4 
 
 14-7 
 
 4 
 
 42.074074 
 
 10.703703 
 
 42.1- 
 
 10.7 
 
 .1 
 
 357-1 
 
 12.7 
 
 .8 
 
 726.1 
 
 14.7 
 
 5 
 
 52-777777 
 
 10-777777 
 
 52.8 
 
 10.8 
 
 .2 
 
 369-8 
 
 12.8 
 
 -9 
 
 740.8 
 
 14.8 
 
 .6 
 
 63.555555 
 
 10.851851 
 
 63.6 
 
 10.8 
 
 3 
 
 382.6 
 
 12.8 
 
 6.0 
 
 755-6 
 
 14-8 
 
 -7 
 
 74.407407 
 
 10.925925 
 
 744 
 
 10.9 
 
 4 
 
 3954 
 
 12.9 
 
 .1 
 
 7704 
 
 14-9 
 
 .8 
 
 85-333333 
 
 II.O 
 
 85.3 
 
 II.O 
 
 5 
 
 408.3 
 
 13.0 
 
 .2 
 
 785.3 
 
 15-0 
 
 9 
 
 96.333333 
 
 11.074074 
 
 96.3 
 
 ii. i 
 
 .6 
 
 421.3 
 
 13.1 
 
 3 
 
 800.3 
 
 I5-I 
 
 I.O 
 
 107.407407 
 
 11.148148 
 
 107.4 
 
 II. 2 
 
 7 
 
 4344 
 
 13.2 
 
 4 
 
 815.4 
 
 15.2 
 
 .1 
 
 H8.555555 
 
 11.222222 
 
 118.6 
 
 II. 2 
 
 .8 
 
 447-6 
 
 13.2 
 
 .5 
 
 830.6 
 
 15-2 
 
 .2 [129.777777 
 
 11.296296 
 
 129.8 
 
 II.3 
 
 9 
 
 460.8 
 
 13-3 
 
 .6 
 
 845-8 
 
 15-3 
 
 .3 141.074074 
 
 11.370370 
 
 141.1 
 
 ii-3 
 
 4-0 
 
 474.1 
 
 13.3 
 
 7 
 
 861.1 
 
 15-3 
 
 .4 152.444444 
 
 11.444444 
 
 1524 
 
 H-5 
 
 .1 
 
 4874 
 
 13.5 
 
 .8 
 
 876.4 
 
 15-5 
 
 5 
 
 163.888888 
 
 II.5I85I8 
 
 163.9 
 
 ii. 5 
 
 .2 
 
 500.9 
 
 13-5 
 
 9 
 
 891.9 
 
 15-5 
 
 .6 
 
 175.407407 
 
 11.592592 
 
 1754 
 
 n.6 
 
 3 
 
 5144 
 
 13.6 
 
 7.0 
 
 907.4 
 
 15-6 
 
 .7 187.0 
 
 n.666666 
 
 187.0 
 
 ii. 7 
 
 4 
 
 528.0 
 
 13.7 
 
 .1 
 
 923-0 
 
 15-7 
 
 ..8 1198.666666 
 
 11.740740 
 
 198.7 
 
 H.7 
 
 5 
 
 541-7 
 
 13-7 
 
 .2 
 
 938.7 
 
 15-7 
 
 9 
 
 210.407407 
 
 11.814814 
 
 210.4 
 
 n.S 
 
 .6 
 
 5554 
 
 13.8 
 
 .3 
 
 
 15.8 
 
 2.0 
 
 222.222222 
 
 n.888888 
 
 222.2 
 
 11.9 
 
 7 
 
 569.2 
 
 13-9 
 
 4 
 
 
 15.9 
 
 .1 
 
 234.IIIIII 
 
 11.962962 
 
 234-1 
 
 12.0 
 
 .8 
 
 583-1 
 
 14.0 
 
 5 1 
 
 16.0 
 
 .2 
 
 246.074074 
 
 12.037037 
 
 246.1 
 
 12.0 
 
 9 
 
 597-1 
 
 14.0 
 
 .6 
 
 
 16.0 
 
 *} 
 
 258.IIIIII 
 
 I2.IIIIII 
 
 258.1 
 
 12. 1 
 
 5-0 
 
 611.1 
 
 14.1 
 
 7 
 
 
 16.1 
 
 4 
 
 270.222222 
 
 I2.I85I85 
 
 270.2 
 
 12.2 
 
 .1 
 
 625.2 
 
 14.2 
 
 .8 
 
 
 16.2 
 
 .5 
 
 282.407407 
 
 12.259259 
 
 282.4 
 
 12-3 
 
 .2 
 
 6394 
 
 14.3 
 
 9 
 
 
 16.3 
 
 .6 
 
 294.666666 
 
 12-333333 
 
 294.7 
 
 12.3 
 
 3 
 
 653.7 
 
 14.3 
 
 8.0 
 
 
 16.3 
 
 2.7 
 
 307.0 
 
 12.407407 
 
 307.0 
 
 124 
 
 4 
 
 668.0 
 
 14.4 
 
 8.1 
 
 1083.0 
 
 16.4 
 
 2.3 
 
 319407407 
 
 
 3194 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 i 
 
 * In case the second column does not give a whole number at tlie height of 
 2.7, it should be carried out to 5.4, or to the requisite multiple, of 2.7. 
 
UNIVERSITY OF CALIFORNIA LIBRARY 
 
 THIS BOOK IS DUE ON THE LAST DATE 
 STAMPED BELOW 
 
 JAN18 
 
 30m-6, 14 
 

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