*^ :#r- -'^-^ ■•:<^' V v^^ ■• ■ ■^. • +■ ■ n^ ^ ^ "^ y^ \^ ■ ir, . ^^■. .'f^ ■^. ■ '¥: > '^ ^■•. .'^ ^. ^-t: .t- rr , .^. .--t- ¥ ¥ .i^ -^ •"^^ i^ "¥ .i- r -* ■ .•¥. .^ ^ y r T y. .•'♦^. 7t^. ¥ ^ -r . ,.1r. ,^: ^ ^ '^ -'^ ^. .¥. .¥ -ir :ir- ;^'' %:.^l ..r .^ ;t^ .lr -^' ^■^.^.'^, •¥. ;^: .>^ :,r' ^T ■,^. .-^ * :< :-¥ 'V '^ '^■. .'^- :•¥ A >K >f ■■ 'v' ,^ * ¥ :,t^ ■> ^. .*: . :^ ¥ 'V' ^%.^: M, .iff -V:^" ^ ♦^. .* >t^ *; 'rf V T ■ ^^.^^.^^. .>^'. .>^ ;:i^ ":^ t^-. >. .■^. .y. y^ vr V y y X X ¥ "ir? V ♦^^X: .¥ ,.¥ >: ,¥ .i*^ X. .•'^ ¥ ;t- ¥ '^' V ^^„ ,¥ .¥ ,;y V .,. .^ .•^. .¥ '¥ :¥ >■ -r ^■ ^. A M :y X' :^ V ^ r -t- T .•tr. :i-, :»f" .^. '-r' ]-¥-' T^; ^. ^. tf y.^ :itr| .y >t=; >r ¥ :y > •^. ..-^ X M y ■ , ..^, T. ?r V "¥ ■^ -r. ,¥ .i1r tf :JiS3iiv^ 'iflkf -M!! s ^ X - 4.^SC5C> ENCtINEER'S, CONTRACTOR'S AND SURVEYOR'S POCKET TABLE-BOOK COMPRISING .OGARfTHMS OF NUMBERS; LOGARITHMIC SINES AND TANGENTS; NATURAL SINES AND NATURAL TANGENTS; THE TRAVERSE TABLE; AND A FULL AND COMPLETE SET OF EXCAVATION AND EMBANKMENT TABLES; TOGETHER WITH NUMEROUS OTHER VALUABLE TABLES FOR ENGINEERS, &c. BY J. M. SCRIBNEE, A.M. Author of " Engineer's and Mechanic's Companion," &c., &c. NEW-YORK: PUBLISHED BY HUNTINGTON & SAVAGE, No. 216 PEARL STREET. 18 47. ENTERED, ACCORDING TO ACT OF CONGRESS, IN THE YEAR 184:, BY J . 11. S C R I B N E P , IN THE CLERK'S OFFICE OF THE DISTRICT COURT FOR THE NORTHERN DISTR.ICT OF NEW YORK. STEREOTYPED BY NEW YORK! RICH ARD H. HOB BS. C. A. ALVORD, Prim HARTFORD, CONN. Corner John and Dutch Streets. PREFACE. Shortly after the publication of the '• Engineer's and Mechanic's Comjmnion,'' it was suggested to the author, by several distinguished engineers, that a pccket edition of a Text-book, comprising all the useful Tables connnonly required in the field or office, would be highly serviceable to those engaged in practical engineering and surveying. Prompted by their repeated and urgent solicitations to furnish a work of this kind, with Tables adapted to immediate esti- mation of excavations and embankments, together with such other useful Tables of the results of valuable and costly experiments upon the strength of materials and the like, the following pages have been compiled; and much that is entirely new has been carefully com- puted expiessly for this work. The Logarithmic Tables, Sines and Tangents have been culled from the most authentic and approved sou ices; and as great pains have been taken in their revisal, the author feels an unusual degree of confidence in their correctness. Besides, they have been carefully compared with several lUffcrcnl editions, by other authors, in order to have the benefit of their watchfulness in detecting inaccuracies. The Tables of Excavations and Embankments, for facilitating the calculations of earth-work on railroads and canals, will be found exceedingly serviceable and convenient for the practical engineer and contractor, as they will prove a great saving of time, and will serve to prove their own calculations, when otherwise, through the hurry and multiplicity of business, they might seem doubtful. One other advantage to contractors, accruing from the use of these Tables, not originally contemplated, is this : By the common, but erroneous, methods of calculation, the cuttings may appear to equal the embankments; yet, when the work is carried into efi:ect, a large quantity of earth may be required to make up the embankments, or there may be loo much earih for that purpose in the cuttings, accord- ing to the shape or figures of the sections. This, in most cases, arises from erroneous calculations; for the common pracice is, either to add the two extreme heights, and take half the sum for the mean height, or to take half the sum of the areas of the two ends for a mean area. Of course, one makes the quantity too much, and the other too little. Such, however, are not likely to be the errors of a good engineer, and they cannot occur if these tables be used : for as they are calculated from the frhmoioal formula, the demonstiation and IV PREFACE. figure of which accompanj'- the tables, they will giv^e the true cubic quantity in any cutting or embankment. The Table for ascertaining the quantity of land necessary for' the formation of a railroad or canal, will be foimd of much service. The rem.aining miscellaneous Tables will no doubt prove of great practical utility to the engineer and contractor, in making estimate? for public works, &c. The surveyor also will find this a convenient pocket ediiion of Tables, applicable to all the purposes of his business. As it was primarily designed to make this a book purely of Tables, without reference to elementary instruction, every Table inserted has been deemed of especial importance to those for whose use the work is intended; and while all such have been carefully compiled and computed, all extraneous or irrelevant matter has been, with equal care, excluded. In offering a treatise of this nature to the public, the author can of course make few claims to originality, nor has it been his object to produce an original Avork. The principal authors consulted, in pre- paring it for the press, are Hutton, Hassler, and McNeil; and, iDesides these sources of information, he has been essentially aided in his own efforts by several distinguished professional gentlemen, who have kindly advised in the selection of valuable and useful Tables, and, to some extent, furnished 'materiel for the work. That the production might be rendered still more worthy of general patronage, several diagrams have been annexed, which add much to its value in regard to practical utility. In conclusion, the author will merely add a hope, that the engineer, contractor, and surveyor, and all others interested in this branch of science, will find this an acceptable companion and assistant, and that they will duly appreciate his endeavors to furnish such a work as shall meet their varied requirements. J. M. S. Middlehurgh, JV. F., J^dy, 1847. CONTENTS, Page. Preface 3 Logarithms of Numbers, from 1 to 10,000 ' 7 Points of the Compass 23 Logarithmic Sines, Tangents, and Secants, to every point and quarter-point of the compass 23 Hyperbolic Logarithms 24 Geographical Miles in a Degree of Longitude : 24 Velocity and Force of the Wind 24 Sines and Tangents 25 Traverse Table 71 Table of Natural Sines 162 Table of Natural Tangents 164 Areas of the Zones of a Circle 167 Areas of the Segments of a Circle 169 Lengths of Circular Arcs 171 " " " " Radius being Unity . . . . . 172 Proportions of the Lengths of Semi-elliptic Arcs . . . . 173 Proportions of the Lengths of Circular Arcs 174 Demonstration of the Prismoidal Formula 176 Explanation of Excavation Tables 178 Tables of Excavation and Embankment, First Series . .183 • " " " Second Series . 188 Third Series . . 190 Circumferences and Areas of Circles by jE?^/?M5 . . . . 212 Squares, Cubes, Square and Cube Roots 218 Circumferences and Areas of Circles by Tenths .... 235 Weight of a Lineal Foot of Square Iron 237 " " " Round Iron 237 Flat Bar Iron 238 Weight of Cast Iron Pipe 241 Weight of Malleable Iron, Copper, and Lead Pipe .... 242 VI CONTENTS, Page. Weight of Cast Iron Solid Cylinders 243 Weight of Cast Iron and Lead Balls ........ 243 Number of Nails and Spikes to the Pound 243 Table on the Strength of Columns of Wood 244 Table, showing the Dimensions of Cast Iron Columns for sustaining a given weight with safety ...... 244 Weight of Lead and Copper Pipes 245 Table of the Strength of Materials 246 Hints about laying out Curves 247 Table of the quantity of Land for Railroads and Canals . - 249 Explanation of do. • " '' " . . 250 Table of Wages per Day, Week, and Year 250 Difference of Level • . 251 Curvature of the Earth 251 Earthwork in Canals 252 Angles of Slopes in Cuttings or Embankments 255 Mathematical Diagrams 256 Diagram for laying out Curves 257 Inclmed Planes 257 Longitude affecting Time 258 Experiments on the Strength of various species of Timber 259 Stiffness of different Woods 260 Comparative Strength of Ropes and Chains 260 Weight in lbs. of a Foot in length of Cast Iron .... 261 Weight of a Cubic Foot of Various Substances 261 Scantling and Timber Measure 262 % TABLE, CONTAINING THE LOGARITHMS OP NUMBERS FROM 1 TO 10,000. NUMBERS FROM 1 TO 100 AND THEIR LOGARITHMS WITH THEIR INDICES. I 1 ) 2 ; 3 ) 4 \ 5 Loguithm. No. Lo-arithm. No. Logarithm. No. Lognritliin. 'no. Logarithm. 0-000000 21 1-32-3219 41 1-61 -2784 61 1-785330 81 1-908435 0-301030 22 1-34-2423 42 1-623249 62 1-792392 82 l-^il38l4 0-477 1-21 23 1-3(51728 43 1-633468 63 1-799341 83 1-939078 O-G02060 24 1-380211 44 1-643453 64 1-806180 84 1-924279 0-698970 25 1-397940 45 1-653213 65 1-812913 85 1-929419 ) 6 0-778151 26 1-414973 4(5 1-662758 66 1-819.544 86 1-934498 ) 7 0-845098 27 1-431364 47 1-672098 67 1-8-26075 87 1-9.39519 ? 8 0-903090 28 1-447158 48 1-681241 68 1-832509 88 1-944483 ( 9 0-954243 29 1-462393 49 1-690196 69 1-838849 89 1-949390 \ ^^ 1-000000 30 1-477121 50 1-698970 70 1-845098 90 1-954243 ) 11 1-041393 31 1-491362 51 1-707570 71 1-8512.58 91 1-9.59041 12, 13 1-079181 32 1-5051.50 52 1-716003 72 1-857332 92 1-963788 1-113943 33 1-518514 53 1-724276 73 1-863323 93 1-968483 ) 1-t 1-146128 34 1-531479 54 1-7.32394 74 l-f:69-232 94 1-973128 ) 15 1-176091 35 1-544008 55 1-740363 75 1.875061 95 1-977724 I Ifi 1-204120 36 1-556303 51; 1-748188 76 1-880814 96 1-98-2271 ( 1" 1-230449 37 1-568202 57 1-7-.5875 77 1 -888491- 97 1-986772 ( 18 1-255273 38 1-579784 58 1-7634-28 78 l-892-.iy5 98 1-991223 ) 19 ? 20 1-278754 39 1-591065 59 1-770852 79 1-897627 99 1-99.5035 1-301030 40 1-602060 60 1-778151 80 1-903090 100 I 2-000000 ( >- OTE.— In the fol lowini^ part of t he Table, the In dices are omitted, as they ) can be very easily s upplied. Thus, the index of the logarithm of every integer ) nui iber, co.i^istins only of one n umber, is ; of two figures, 1 ; of three res, 2; ef four figures, 3 : bei lo: always a unit less than tlie number of } figi res contained m the inte-rer nun aber. The inde \: to the logarithm of every ) nur ) ope nber above 100, n the foilowring part of the Tal )le, is omitted; yet, in the ration, it must b e prefixed, acco -din? to this rem ark : so that the logarithm ; of 500 is 2-7781 5, an d that of 6L 00 is 3-77815, an ISO 3f the rest. LOGARITHMS No. I I 1 I a I 3 I 4: I 6 1 7 1 8 1 0UiJo98 003029 0034611 6894 7321 7748 011147 011570 011993 53fi0 5779 6197 953-2 9947 020361 0230(54 024075 4486 7757 8164 8571 031812 032216 032619 5830 6230 6629 9811 040207 040602 043755 044148 044540 7664 8053 8442 051538 051924 052309 5378 5760 6142 9185 9563 9942 062958 063333 063709 6699 7071 7443 070407 070776 071145 4085 4451 4816 7731 8094 8457 081347 081707 0820(57 4934 5291 5647 8490 8845 9198 092018 092370 092721 5518 5866 6215 8990 9335 9681 102434 102777 103119 5851 6191 6531 9241 9579 9916 112605 112940 113275 115943 116276 116608 9256 9586 9915 122544 122871 123198 5806 6131 6456 9045 9368 9690 132260 132580 132900 5451 5769 6086 8018 8934 9249 141763 142076 142389 4885 5196 5507 147985 148294 148603 151063 151370 151676 4120 4424 472.8 7154 7457 7759 100168 160469 160769 3161 3460 3758 6134 6430 6726 9086 9380 9674 172019 172311 17260:5 4932 5222 5512 177825 178113 178401 189699 180986 181272 3555 3839 4123 6391 6674 6956 9209 9490 9771 192010 192289 192567 4792 5069 5346 7556 7832 8107 200303 ,200577 200850 3033 3305 3577 1 Dig \ 003891 1 432 <; 81741428 0124151424 66161420 \ 0207751416 ' 4896 412 ', 8978 408 * 033021 1404 ) 028 400 ( 040998 1 397 ( 044932! 393 / 8830^390 ) 052694 1 386 ) 65241383 ) 060320 379 t 40831376 78151373 , 0715141370 , 51821366 881 9 I 383 , 082426 ;W0 ' 6004 357 ' 9552 '355 ( 0930711352 ( 65(52:349 ( 1000201346 ( 3462 343 ( 6871 341 / 110253 338 ( 3609 j 335 I 116940 I 333 ) 120245 1 330 ) 35251328 ) 67811325 ) 1300 12^323 ) 3219 321 ) 6403 318 9564 {316 142702 314 5818311 100 1 3 4 5 6 7 8 9 110 1 2 3 t 6 7 8 000000 4321 8600 012837 7033 021189 5306 9384 033424 7426 041393 5323 9218 053078 6905 000098 4458 8186 000434 4751 9026 013259 7451 021603 5715 9789 033826 7825 041787 5714 9606 053463 7286 001075 4832 8557 071882 072250 5547 5912 120:079181 1 1 082785 21 6360 31 9905, 4 1 093422 1 5 1 6910 6 100371 3804 7210 110590 113943 7271 120574 3852 7105 130334 3539 6721 9879 143015 146128 9219 152288 5336 8362 161368 4353 7317 170262 3186 079543 083144 6716 090258 3772 7257 100715 4146 7549 110926 114277 7603 129903 4178 7429 130(555 3858 7037 140194 3327 146438 952- 152594 5640 8664 161667 4650 7613 170555 ^478 000868 5181 9451 0131)80 7868 022016 6125 030195 4227 8223 042182 6105 9993 053846 7666 061452 5206 8928 072617 6276 079904 083503 071 090611 4122 7604 101059 4487 7888 111203 114611 7934 121231 4504 7753 130977 4177 7354 140508 3639 146748 9835 152900 5943 8905 161967 4947 7908 170848 3769 176091 89771 181844! 4691 1 7521 1 190332 3125! 59001 86571 8 9 20139 176381 176670 9264 9552 182129 182415 4975 5259 7803 8084 190612 190892 3403 3681 6176 6453 8932 9206 201670 201943 0013011 5809 98761 014100 8284 022428 6533 030600 4628 8620 042570 6495 050380 4230 8046 061829 5580 9298 072985 6640 080266 3861 7426 090963 4471 7951 101403 4828 8227 111599 114944 8265 121560 4830 8076 131298 4496 7671 140822 3951 147058 15014: 3205 6246 92f)6 162266 5244 8203 171141 4060 17(5959 9839 182700 5542 83()6 191171 3959 6729 9481 202216 001/34 6038 010300 4521 8700 022841 6942 031004 5029 9017 042969 6885 050766 4613 8426 062206 5953 9668 073352 004 080626 4219 7781 091315 4820 8298 101747 5169 8565 111934 115278 8595 121888 002166 6466 0107-2-1 ' 4940 9116 023252 7350 031408 ' 5430 9414 0433(52 i 7275 051153 49961 8305 062582 6326 070038' 3718 7368; 080987 4576 8136 091607 5169i 8644 1 102091; 5510 8903 112270 j 115611 89261 122216 5150 .S48I 8399 8722 131619 131939 4814 5133 7987 8303 141136 141450 4263 4574 147367 147676 150449 150756 3510 3815 6549 6852 9567 9868 162;564 1628(53 5541 5838 8497 8792 171434 171726 4351 4641 177248 177536 180126 180413 2985 3270 5825 6108 8647 8928 191451 191730 4237 4514 7005 72.^1 9755 200029 202488 2761 148911! 1519S2 5032 80(51 1610()8 4055 7022 9968 172895 5802 178089 289 ^. 181558,287 ( 4407 2,85 ( 7239 283 ( 190051 281 ( 2846 279 ( 5623 278 ( 8382 276 ( 201124 274 ( 3848 272 { I Diff.( OF NUMBERS. No. j 1 1 1 3 1 3 1 4: 1 5 1 6 1 7 1 8 1 9 | D>ff.i Uk, 2J4120 204391 204003 204934 205204] 2054751 205740 2060161 200285] 2005501 271 I G82o 7090 7305 7034 7904 8i7J 8441 8710 8979 9247 200 ■y 9515 9783 210051 210319 2i;;580 2108.53 211121 211388 211054! -211921 '207 ) 4314 4570i-i.i/) 6957 7-221 ; •204 9.585 98401-02^. 3 '2lil6S 212454 272.) 2980 32^^ 3518 3783 4049 4 4844 5100 5373 5638 5902 6166 0430 6094 5 7484 7747 8010 8273 8530 8798 9000 9323 6 220108 220370 220031 220892 221153 221414 221075 221930 322190|202l50,:i0l ) 4792 5.,5l!250 { 7 27 lu 2971) 323(i 3490 3753 4015 42.4 4533 8 5309 5508 5820 0084 6342 60()0 0858 7115 7372 703: )i -2.58 ( 9 7887 8144 8400 8057 8913 9170 9420 9082 9938 230193 '(250 '^ 170 23.)449 230704 230960 231215 231470 •231724 23197i» 232234 232488 2327421255 ) 1 2J0;> 3250 3504 3757 4011 4204 4517 4770 5023 .52701253 2 M-Zi 5781 6033 02b5 0537 0780 7041 7292 7544 77951252 3 804(3 8297 8548 879J 9040 9290 9550 980U 240050 24030,;! 251) 4 24034i> 240799 241048 241297 241540 ■241705 242044 2't-2293 2541 27.0 i 240 ) 520o.j248 ) 5 3J38 328.J 3534 3782 4030 4277 4525 4772 5019 6 5513 575y 6000 6252 6490 6745 6901 7237 7482 77-28 j -240 25)17^;|245 ) 7 7973 8219 84(>4 8709 8954 9108 9443 9087 9932 8 250420 250004 250908 251151 251395 251038 ■251881 252125 25-2308 2010 1 243 ) y 2853 30dG 33;w 3580 3822 4004 4300 4548 4790 .>OJij-242 ) I8;j 255273 255514 255755 255900 250237 256477 256718 250958 257198 257430 -241 \ 1 7(579 7918 8158 8308 8037 8877 9110 9355 9594 9833 1 -239 ( 2 260071 260310 260548 260787 201025 28l-2o3 2615U1 261739 201070 20-2214-233 3 2451 2388 2025 3102 3300 3030 3873 4100 4340 4582-237 4 4818 5054 52J0 5525 5701 5990 6-232 0407 6702 6937 1-235 / 5 7172 740G 7041 7875 8110 8344 8578 8812 9040 9279 1 -234 / G 9513 974t) 9JS0 270213 270440 270079 270912 271144 -271377 271009 233 7 271842 272074 2723)0 2538 2770 3001 3233 3404 3000 3927 232 8. 4158 4389 VyZj 4850 5081 5311 5542 5772 0002 6232 230 y 64G:i 0092 0921 7151 738J 7000 7838 8007 8296 8525 229 ) 193 278754 278032 273-211 279439 279007 279895 280123 280351 280578 280800 228 1 281033 281201 281488 281715 281042 232109 2390 2022 2849 3i)75 227 ( 2 33t)l 3527 3753 3979 4205 4431 4650 4882 5107 53321-228 ( 3 5557 5782 0007 0232 0450 6081 0905 7130 7354 7578 225 ( 4 7802 8020 8249 8473 8090 8020 9143 9306 9530 9812 2-23 ( 5 290035 290257 290480 290702 290925 291147 291300 291.591 291813 292034 222 ( 6 225G 2478 2090 2920 3141 3303 3584 3804 4025 4240|221 ( 7 4400 4087 4007 5127 5347 5507 5787 6007 6-220 04415 12-20 / 8 6Gt;5 0884 7104 7323 7542 7701 7979 8198 8410 8G35i2l9 I y 8853 9071 9289 9507 9725 9943 300101 300378 300595 300813 218, ; 200 301030 301247 301464 301081 301898 302114 30-2.331 30-2.547 30-2764 302980 217 ! ) 1 3100 .3412 3028 3844 4050 4275 4401 4700 4921 •5130 216 ( ) 2 5351 5500 5781 5990 0211 6425 6639 68.54 7068 7282 215 213 ( 212 ) 3 7490 7710 7924 8137 8351 8504 8778 8091 9-204 9417 / 4 9030 9843 310050 310208 310481 310093 310900 311118 311330 311542 ) 5 311754 311906 2177 2389 2000 2812 3023 3234 3445 3050 211 ( 6 3807 4078 4289 4499 4710 4920 5130 5340 5551 5700 210 ( ; 7 5970 0180 6390 0590 6809 7018 7227 7436 7040 7854 200? ) 8 8003 8272 84dl 8080 8808 9100 9314 95-22 9730 9938 208 ) 9 320140 320354 320502 320700 320977 321184 321391 321.598 321805 322012 207 206 205 ( ^A { 2u3 202 ( 202 -2i)l \ 210 322219 322426 322633 322839 323046 323252 323453 32:i6C5 323871 324077 1 1 4282 4488 4094 4899 5105 5310 5516 5721 5020 6131 2 6330 6541 6745 6950 7155 7359 7503 7767 7972 817{) 3 8380 8583 8787 8091 9194 9398 9601 9805 330008 330211 4 330414 330617 330819 331022 331225 331427 331630 331832 2034 223(i 5 2438 2640 2842 3044 3-246 3447 3(-;40 3850 4051 425.'; 6 4454 4655 4850 5057 5257 5458 505s 5859 6059 02GO 7 6460 6G60 6800 7000 7260 7459 7059 7858 8058 8257 -200 ( 8 8456 805G 8355 90.54 9253 9451 96.50 9849 340047 .340240 190 / ( 9 349444 340042 340841 341030 341237 341435 341032 1341830 2028 2225 108/ )^ |0|lia|314:|5|6|7|8|9| mxj 10 L G A R I T H M s ?^^j '"6"'7 1 V » i 3 r 4: : 5 J 6^1 '7 ^1 8 ; 9 1 Difc) 3434':3' 342620 342817 343014 343212 343409 343606 3438021 343999 344196 197 I " 1 439-2 45891 4785 4981 5178 5374 5570 5766 5962 6157 196 ( ■2 6353 6549 6744 6939 7135 7330 7525 7720 7915 8110 195 ( 3; 8305 8500 8694 8889 9083 9278 9472 9666 9860 3500541194 { •i| 3.30248 350442 350036 350829 351023 351216 351410 351603 351796 1989 1 193 ( 5 2183: 2375 2568 2761 2954 3147 3339 3532 3724 3916 193 ( 6 4103; 4301 4493 4685 4876 50i)8 5260 5452 5643 5834 192 { 7 6a2G: 6217, 6408 659!) 6790! 6981 7172 7363 7554 7744 191 ( 8 7935 812.'3 8310 8506 8696 8886 9076 9266 9456 9646 190 9 9835 360025 360215 360404 360593 360783 360972 361161 361350 361539 189/ 230 301728 361917 362105 362294 362482 362671 362859 363048 363236 363424 188 J 1 3612 3800 3988 4176 4363 4551 4739 4926 5113 5301 188 ) 2 5488 5675 5862 6049 6236 6423 6610 6796 6983 7169 187 3 7356 7542 7729 7915 8101 8287 8473 8059 8845 9030 186 ) 4 9210 9401 9587 9772 9958 370143 370328 370513 370698 370883 185 ) 5 371068 371253 371437 371622 371806 1991 2175 23G0 2544 2728 184 ) 6 2912 3096 3280 3464 3647 3831 4015 4198 4382 4565 184 ) 7 4748 4932 5115 5298 5481 5664 5846 6029 6212 6394 183 8 6577 6759 6942 7124 7306 7488 7670 7852 8034 8216 182 ) 9 8393 8580 87G1 8943 9124 9306 9487 9068 9849 380030 181 ) 243 380211 380392 380573 380754 380934 381115 381296 381476 381656 381837 181 j 1 2017 2197 2377 2557 2737 2917 3097 3277 3456 3636 180 ( 2 3815 3995 4174 4353 4533 4712 4891 5070 5249 5428 179 ( 3 5606 5785 59l>4 6142 0321 6499 6677 6856 7034 7212 178 ( 4 7390 75(58 7746 7923 8101 8279 8456 8634 8811 8989 178 I 5 9166 9343 9520 9698 9875 390051 390228 390405 390582 390759 177 G 390035 391112 391288 391464 391641 1817 1993 2169 2345 2521 176 7 2697 2873 3048 3224 3400 3575 3751 3926 4101 4277 176? 8 4452 4627 4802 4977 5152 5326 5501 5676 5850 6025 175 ( 9 6199 6374 6548 6722 6896 7071 7245 7419 7592 7766 174 ( 250 397940 398114 398287 398461 398634 398808 398981 399154 399328 399501 173) 1 9074 9847 400020 400192 400365 400538 400711 400883 401056 401228 173 172; 2 401401 401573 1745 1917 2089 22()1 2433 2G05 2777 2949 3 3121 3292 3464 3635 3807 3978 4149 4320 4492 4663 171 ■> 4 4834 5005 5176 5346 5517 5688 5858 6029 6199 6370 171 5 6540 6710 6881 7051 7221 7391 7561 7731 7901 8070 170 6 8240 8410 8579 8749 8918 9087 9257 9426 9595 97(>4 169 , 7 9033 410102 410271 410440 410609 410777 41094G 411114 411283 411451 169 ) 8 411620 1788 1956 2124 2293 2461 2629 2796 2964 3132 168 ; 9 3300 3467 3635 3803 3970 4137 4305 4472 4639 4806 167 167 ' 260 414973 415140 415307 415474 415641 415808 415974 416141 416308 416474 1 6041 6807 6973 713.4 7306 7472 7638 7804 7970 8135 166 ( 165/ , 2 8301 8467 8033 8798 8964 9129 9295 946!) 9625 9791 3 9956 420121 420286 420451 420816 420781 420945 421110 421275 421439 165' 4 421604 1768 1933 2097 2261 2426 2590 2754 2918 3082 164 5 3246 3410 3574 3737 3901 4065 4228 4392 4555 4718 164 / 6 4882 5045 5208 5371 5534 5697 5860 6023 6186 6349 163 7 6511 6674 6836 6999 7161 7324 7486 7648 7811 7973 162 8 8135 8297 8459 8621 8783 8944 9106 9268 9429 9591 162 / 9 9752 9914 430075 430236 430398 430559 430720 430881 431042 431203 161 / 270 431364 431525 431685 431846 432007 432167 432328 432488 432649 432809 161 ' 1 2969 3130 3290 3450 3610 3770 3930 4090 4249 4409 160 ' 4569 4729 4888 5048 5207 5367 5526 5G85 5844 6004 159 3 6163 6322 6481 6640 6799 6957 7116 7275 7433 7592 159 -i 7751 7909 8067 8226 8384 8542 8701 8859 9017 9175 158 5 9333 9491 9648 9806 9964 440122 440279 440437 440594 440752 158 li i440ii09 4 J 1066 441224 441381 441538 1695 1852 2009 21G6 2323 1 157 7 2480 2637 2793 2950 3106 3263 3419 3576 3732 38891157 t' 1 4045 4201 4357 4513 4669 4825 4981 5137 5293 54491156 i 5604 5760 5915 6071 6226 6382 6537 6692 6848 , 7003 155 { No. O I 1 I 6 I 8 I 9 i Diff. 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8838 8898 8958 9018 9078 60 3 9138 9198 9258 9318 9379 9439 9499 9559 9619 9679 60 4 9739 9799 9859 9918 9978 860038 860098 860158 8602] 8 860278 60 5 860338 860398 860458 860518 860578 0637 0697 0757 0817 0877 60 C 0937 0996 1056 1116 1176 1236 1295 1355 1415 1475 60 1534 1594 1654 1714 1773 1833 1893 1952 2012 2072 60 8 2131 2191 2251 2310 2370 2430 2489 2549 2608 2668 60 9 2728 2787 2847 2906 2966 3025 3085 3144 3204 3263 60 730 863323 863382 863442 863501 863561 863620 863680 863739 863799 863858 59 1 3917 3977 4036 4096 4155 4214 4274 4333 4392 4452 59 2 4511 4570 4630 4689 4748 4808 4867 4926 4985 5045 59 3 5104 5163 5222 5282 5341 5400 5459 5519 5578 5637 59 4 5696 5755 5814 5874 5933 5992 6051 6110 6169 6228 59 5 6287 6346 6405 6465 6524 6583 6642 6701 6760 6819 59 6 6878 6937 6996 7055 7114 7173 7232 7291 7350 74(i9 59 7 7467 7526 7585 7644 7703 7762 7821 78S0 7939 7998 59 8 8056 81] 5 8174 8233 8292 8350 8409 8468 8527 858(5 59 9 8644 8703 8762 8821 8879 8938 8997 9056 9114 9173 59 740 869232 869290 869349 869408 869466 869525 869584 869642 869701 869760 59 1 9818 9877 9935 9994 870053 970111 870170 870228 870287 870345 59 2 870404 870462 87052] 870579 0638 0696 0755 0813 0872 0930 58 3 0989 1047 1106 1164 1223 1281 1339 1398 1456 1515 58 4 1573 1631 1690 1748 1806 1865 1923 1981 2040 2098 58 5 215(i 2215 2273 2331 2389 2448 2506 2564 2622 2681 58 6 2739 2797 2855 2913 2972 3030 3088 3148 3204 3262 58 3321 3379 3437 3495 3553 3611 3669 3727 3785 3844 58 8 3902 39(50 4018 4076 4134 4192 4250 4308 4366 4424 58 9 4482 4540 4598 4656 4714 4772 4830 4888 4945 5003 58 750 875061 875119 875177 875235 875293 875351 875409 87.5466 875524 875582 58 1 5640 5698 5756 5813 5871 5929 5987 6045 6102 6160 58 2 6218 6276 6333 6391 6449 6507 6564 6622 6680 6737 58 3 6795 6853 6910 6968 7026 7083 7141 7199 7256 7314 58 4 7371 7429 7487 7544 7602 7659 7717 7774 7832 7889 58 5 7947 8004 8062 8119 8177 8234 8292 8349 8407 8464 57 6 8522 8579 8637 8694 8752 8809 8866 8924 8981 9039 57 7 9091-. 9153 9211 9268 9325 9383 9440 9497 9555 9612 880127 880185 57 8 96(59 9726 9784 9841 9898 9956 380013 880070 57 ( 9 830242 880299 880356 880413 880471 880528 0585 06421 0699 075G 57 No. I I 1 I 3 4: I 5 I 7 I 8 I 9 I Diff.; OF NUMBER 19 I 1 i I 4 r I 8 I 9 I Diff.'' ( 7tK) 880814 88U871 880 J28 880985 88J042 881099 88115!) 881213 1881271 881328 57- 1 ^ 2 1385 1442 1499 1556 1613 1670 1727 1784 1841 1898 57 ( 1955 2012 2069 2126 2183 2240 2297 2354 2411 2468 57 ( 2525 2581 2838 2695 2752 2809 2866 2923 2980 3037 57 ( 3093 3150 3207 3264 3321 3377 3434 3491 3548 3605 57 ( 3661 3718 3775 3832 3888 3945 4002 4059 4115 4172 57^ 4229 4285 4342 4399 4455 4512 4569 4625 4682 4739 57 / 7 4795 4852 4909 4965 5022 5078 5135 5192 5243 5305 57 ^ 8 5361 5418 5474 5531 5587 5644 5700 5757 5813 5870 57 9 5926 5983 6039 6096 6152 6209 6265 6321 6378 6434 56j 56 ; 56 ( 770 ) 1 886491 886547 886604 886660 886716 886773 886829 88G885 886942 886998 7054 7111 7167 7223 7280 7336 7392 7449 7505 7561 • 2 ( 3 7617 7674 7730 7786 7842 7898 7955 8011 8067 8123 56 56) 8179 8236 8292 8348 8404 8460 8516 8573 8629 868.5 ' 4 8741 8797 8853 89i!9 8965 9021 9077 9134 9190 9246 56) 56 5 9302 9358 9414 9470 952i) 9582 9638 9694 9750 9806 ' 6 9862 9918 9974 890030 890086 890141 890197 890253 890309 890365 56 ^) "^ 890421 890477 890533 058hl 0(>45 0700 0756 0812 0868 0924 56 8 0980 1035 1091 1147 12J3 1259 1314 1370 1426 1482 56 ) 9 1537 1593 1641J 1705 1760 181.; 1872 1928 1983 2039 .56) ) 780 892095 89215U 892206 892262 892317 392373 892429 892484 892540 892595 56 ( ) 1 2651 2707 2762 2818 2873 2929 2985 3040 3096 3151 56 ( ) " 3207 3262 3318 3373 3429 3484 3540 3595 3651 3706 56 ( 3 3762 3817 3873 3928 3984 4039 4094 4150 4205 4261 55 ( 4 4316 4371 4427 4482 4538 4593 4648 4704 4759 4814 55 ( 5 4870 492.5 4980 5036 5091 5146 5201 5257 5312 5367 55 ( i 1 5423 5478 5533 5588 5644 5699 5754 5809 5864 5920 55 ( 5975 6030 6085 6140 6195 6251 6306 6361 6416 6471 55 ( ; 8 6526 6581 6636 6692 6747 6802 6857 6912 6967 7022 55 { ? 9 7077 7132 7187 72-12 7297 7352 7407 7462 7517 7572 55 ( 790 897627 897682 897737 897792 897847 897902 897957 898012 898067 898122 55 / 1 8176 8231 8286 8341 8396 8451 8506 8561 8615 8670 55 ) ? ~ 8725 8780 8835 8890 8944 8999 9054 9109 9164 9218 55 / 3 9273 9328 9383 9437 94y2 9547 9602 9656 9711 9766 55 4 9821 9875 9930 9985 900039 900094 900149 900203 900258 900312 55 ) 5 90i)3u7 J0UJ22 900476 900531 0586 0640 0695 0749 0804 0859 55 ) ' 6 0913 09G8 1022 1077 1131 1186 1240 1295 1349 1404 55 ) / 7 1458 1513 1567 1622 1676 1731 1785 1840 1894 1948 54 ) ( ^ 2003 2057 2112 2166 OOO 1 2275 2329 2384 2438 2492 54 1 9 2547 2601 2655 2710 2764 2818 2873 2927 2981 3036 54 ( 800 903090 933144 903199 903253 903307 903361 903416 903470 903524 903578 54 1 3633 3687 3741 3795 3849 3904 3958 4012 4066 4120 54 3 4174 4229 4283 4337 4391 4445 4499 4553 4607 4661 54 4716 4770 4824 4878 4932 4986 5040 5094 5148 5202 54 4 .-v^56 5310 5364 5418 5472 5526 5580 5634 5688 5742 54 ( 5 5796 5850 5904 5958 6012 6066 6119 6173 6227 6281 54 ( 6 6335 6389 6443 6497 6551 6604 6658 6712 6766 6820 54 7 6874 6927 6981 7035 7089 7143 7196 7250 7304 7358 54 54 54 J 54} 8 7411 7465 7519 7573 7626 7680 7734 7787 7841 7895 9 7949 8002 8056 8110 8163 8217 8270 8324 8378 8431 810 908485 908539 908592 908646 908699 908753 908807 908860 908914 908967 / 1 9021 9074 9128 9181 9235 9289 93421 9396 9449 9503 54 ) 53) ) 2 9556 9810 9663 9716 9770 9823 98771 9930 9984 910037 ; 3 910091 910144 910197 910251 910304 910358 910411 910464 910518 0571 53 ) ' 4 0624 0678 0731 0784 0838 0891 0944 0998 1051 1104 53) ; 5 1158 1211 1264 1317 1371 1424 1477 1530 1584 1637 53 / 6 1690 1743 1797 1850 1903 1956 2009 2063 2116 2169 53 ; 7 2222 2275 2328 2381 2435 2488 2541 2594 2647 2700 53 ) 8 2753 2806 2859 2913 2966 3019 3072 3125 3178 3231 53 ? 9 3284 3337 3390 3443 3496 3549 3602 3655 3708 3761 53 9 I Diff.<; 20 LOGARITHM pNal I 3 8 I 9 I 830 1 2 3 4 5 6 7 8 9 840 1 2 3 4 5 6 7 8 9 850 1 2 3 4 5 860 1 2 3 4 5 6 7 8 870 1 2 3 4 5 6 7 913814 913867 4343 4396 4872 4925 5400 5453 5927 5980 6454 6507 6980 7033 7506 7558 8030 8083 8555 8607 919078 919130 960J 9653 920123 920176 0645 0697 1166 1218 1686 1738 2206 2258 2725 2777 3244 3296 3762 3814 924279 924331 4796 4848 5312 5364 5828 5879 6342 6394 6857 6908 7370 7422 7883 7935 8396 8447 8908 8959 929419 929470 9930 9981 930440 930491 0949 1000 1458 1509 1966 2017 2474 2524 2981 3031 3487 3538 3993 4044 934498 934549 5003 5054 5507 5558 6011 6061 6514 6564 7016 7066 7518 7568 8019 8069 8520 8570 9020 9070 939519 939569 940018 940068 0518 0566 1014 1064 1511 1561 2008 2058 2504 2554 3000 3049 3495 3544 3989 4038 4449 i 4502 4977! 5505 6033 6559 5030 5558 0085 OGli 7085 7138 7611 7663 8135 8188 8659 8712 919183 9706 920228 0749 1270 1790 2310 2829 3348 3865 919235 9758 920280 0801 1322 1842 2362 2881 3399 3917 924383 924434 4899 1 4951 5415 5931 6445 6959 7473 7986 8498 9010 929521 930032 0542 1051 1560 2068 2575 3082 3589 4094 934599 5104 5608 Gill 6614 7117 7618 8119 8620 9120 939619 940118 0616 1114 1611 2107 2603 3099 3593 914026 914079 914132 914184 914237 914290 4555 4608 4660 4713 4766 4819 5083 5136 5189 5241 5294 5347 5611 5664 5716 5769 5822 5875 6138 6191 6243 6296 6349 6401 6664 6717 6770 6822 6875 6927 7190 7243 7295 7348 7400 7453 7716 7768 7820 7873 7925 7978 8240 8293 8345 8397 8450 8502 8764 8816 8869 8921 8973 9026 919287 919340 919392 919444 919496 919549 9810 9862 9914 9967 920019 920071 920332 920384 920436 920489 0541 0593 0853 0906 0958 1010 1062 1114 1374 1426 1478 1530 1582 1634 1894 1946 1998 2050 2102 2154 2414 2466 2518 2570 2622 2674 2933 2985 3037 3089 3140 3192 3451 3503 3555 3607 3658 3710 3969 4021 4072 4124 4176 42-28 924486 924538 924589 924641 924693 924744 5003 5054 5106 5157 5209 5261 5518 5570 5621 5673 5725 5776 6034 6085 6137 6188 6240 6291 6548 6600 6651 6702 6754 6805 7062 7114 7165 7216 7268 7319 7576 7627 7678 7730 7781 7832 8088 8140 8191 8242 8293 8345 8601 8652 8703 8754 8805 8857 9112 9163 9215 9266 9317 9368 929623 929674 929725 929776 929827 929879 930134 930185 930236 930287 930338 930389 0643 0694 0745 0796 0847 0898 1153 1204 1254 1305 1356 1407 1661 1712 1763 1814 1865 1915 2169 2220 2271 2322 2372 2423 2677 2727 2778 2829 2879 2930 3183 3234 3285 3335 3386 3437 3690 3740 3791 3&41 3892 3943 4195 4246 4296 4347 4397 4448 934700 934751 934801 934852 934902 934953 5205 5255 5306 5356 5406 5457 5709 5759 5809 5860 5910 5960 6212 6262 6313 6363 6413 6463 6715 6765 6815 6865 6916 6966 7217 7267 7317 7367 7418 7468 7718 77()9 7819 7869 7919 7909 8219 82r.9 8320 8370 8420 8470 8720 8770 8820 8870 8920 8970 9220 9270 9320 9369 9419 9469 939719 939769 939819 939869 939918 939968 940218 940267 940317 940367 940417 940467 0716 0765 0815 0865 0915 0964 1213 1263 1313 1362 1412 1462 1710 17(i0 1809 1859 1909 1958 2207 2256 2306 2355 2405 2455 2702 2752 2801 2851 2901 2950 3198 3247 3297 3346 3396 3445 3692 3742 3791 3841 3890 3939 4186 4236 4285 4335 4384 4433 5467 5982 6497 7011 7524 8037 8549 90(51 929572 930083 0592 1102 1610 2118 2626 3133 3639 4145 934650 5154 5658 6162 6665 7167 7668 8169 8670 8170 939669 940168 06()6 1163 1660 2157 2653 3148 3643 4137 r 3 I 4: I 5 6 ! 7 I 8 I 9 50 ,; 50 ( 50 / 50 I 50 ) 50 > 50 49 , 49 49 Difl. OF NUMBER 21 No. I 1 a I 3 I 4 I T I 8 I 9 iDifiJ S 88U 944483 944532 944581 944631 944680 944729 944779 1944828 944877 944927 49 1 4976 5025 5074 5124 5173 5222 5272 5321 5370 5419 49 2 .5469 5518 5507 5616 5665 5715 5764 5813 5862 5912 49 3 5961 6010 6059 6108 6157 6207 6256 6305 6354 6403 49 4 6452 6501 6551 6600 6649 6698 6747 6796 6845 6894 49 5 6943 6992 7041 7090 7140 7189 7238 7287 7336 73a5 49 6 7434 7483 7532 7581 7630 7679 7728 7777 7826 7875 49 ( 7 7924 7973 8022 8070 8119 8168 8217 8266 8315 8364 49 ^ 8 8413 8462 8511 8560 8609 8657 8706 8755 8804 8853 49 9 8902 8951 8999 9048 9097 9146 9195 9244 9292 9341 49 ) 890 949390 949439 949488 949536 949585 949634 949683 949731 949780 949829 49 ) 1 9878 9926 9975 950024 950073 950121 950170 950219 950267 950316 49 ) 2 9503()5 950414 950462 0511 0500 0608 0657 0706 07-)4 0803 49 , 3 0851 0900 0949 0997 1046 1095 1143 1192 1240 1289 49 4 1338 1386 1435 1483 1532 1580 1629 1677 1726 1775 49 5 1823 1872 1920 1969 2017 2066 2114 2163 2211 2260 48 < 6 23U8 2356 2405 2453 2502 2550 2599 2647 2696 2744 48, 7 2792 2841 2889 2938 2986 3(i34 3083 3131 3180 3228 48 < 8 3276 3325 3373 3421 3470 3518 3566 3615 3663 3711 48 9 37G0 3808 3856 3905 3953 4001 4049 4098 4146 411M 48^ 900 954243 954291 954339 954387 954435 954484 954532 954580 954628 954677 48 < 1 I 4725 4773 4821 4869 4918 4966 5014 5062 5110 5158 48 ( 5207 5255 5303 5351 5399 5447 5495 5543 5592 5640 48 ( 5688 5730 5784 5832 5880 5928 5976 6024 6072 6120 48 ( 4 6168 6216 6265 6313 6361 6409 6457 6505 6553 6001 48 ( 5 6649 6697 6745 6793 6840 6888 6936 6984 7032 7080 48 ( 6 7128 7176 7224 7272 7320 7368 7416 7484 7512 7559 48 ( 7 7607 7655 7703 7751 7799 7847 7894 7942 7990 8038 48 I 8 808(5 8134 8181 8229 8277 8325 8373 8421 8468 8516 48 ( 9 8564 8612 8659 8707 8755 8803 8850 8898 8946 S994 48 ( (910 959041 959089 959137 959185 959232 959280 959328 959375 959423 959471 48 < 1 9518 9566 9614 9661 9';u9 9757 9604 9a52 9900 9947 48 ^ ( 2 9995 960042 960090 960138 980185 900233 96028] 960328 960376 960423 48 ^ 3 900471 0518 0566 0613 0661 0709 0756 0804 0851 0899 48 ' 4 0946 m^i. 1041 1089 1136 1184 1231 1279 1326 1374 48 ) ( 5 1421 1469 1516 1563 1011 1658 1706 1753 1801 1848 47 ) 6 1895 1913 1990 2038 2u85 2132 2180 2227 2275 232^2 47 ) ( 7 2369 ^17 2404 2511 2559 2606 2653 2701 2743 2795 47 ) ( 8 2843 2890 2937 2985 3032 3079 3126 3174 3221 3268 47 ) 9 3316 3303 3410 3457 35U4 3552 3599 3646 3693 3741 47 J 920 983788 963835 963882 963929 963977 964024 964071 964118 964165 964212 47 1 4260 4307 4354 4401 4448 4495 4542 4590 4637 4684 47 ) 2 4731 4778 4825 4872 4919 4966 5013 5061 5108 5155 47 ) 3 5202 5249 5296 5343 53dU 5437 5484 5531 5578 5625 47 ) 4 5672 5719 5766 5813 586u 5907 5954 6001 6048 6095 47 / 5 6142 6189 6236 6283 6329 6376 6423 647u 6517 6564 47) ) c 6611 6658 6705 6752 679ii 6845 6892 6939 6986 7033 47 ,> ) "' 708U 7127 7173 7220 7207 7314 7361 7408 7454 7501 47 ^ ) e 7548 7595 7642 7688 7735 7782 7829 7875 7922 7969 47 / 9 8010 80C-2 8109 8156 82u3 8249 8296 8343 8390 8436 47 ^ \ 930 968483 968530 968576 968623 988670 968716 968763 968810 968856 968903 47 I 1 8950 8996 9043 9090 9136 9183 9229 9276 9323 9309 47 ^ 2 9416 9463 9509 9556 9602 9649 9695 9742 9789 9835 47 ' 3 9882 9928 9975 970021 970068 9701 H 970161 970207 970254 970300 47 ( 4 970347 970393 97044U 0486 0533 0579 0626 0672 0719 0765 46 ( 5 0812 0858 0904 0951 0997 1044 1090 1137 1183 1229 46 ( 6 1276 1322 1369 1415 1461 1508 1554 1601 1647 1693 46 7 1740 1786 1832 18:9 1925 1971 2018 201:4 2110 2157 46 ( 8 2203 2249 2295 2342 2388 2434 2481 2527 2573 2619 46 ( 9 2066 2712 2758 2804 2851 28..7 2943 2J89 3035 3082 1 46 ( I 8 3 I 4 I 7 I 8 9 I D.ff. 2-2 LOGARITHMS. No. 1 1 a 3 4: 5 6 7 8 9 Dim :^4u;973i'J8 973174 973220 973266 973313 973359 9731051973451 973497 973543 46 1 3590 3636 3682 3728 3774 3820 3866! 3913 39.")9 4005 46 o 4051 4097 4143 4189 4235 4281 4327 4374 4420; 4466 46 3 4512 4558 4604 4650 4696 4742 4788 4834 4880 4920 46 4 4972 5018 5064 5110 5156 5202 5248 5294 5340 5386 46 5 5432 5478 5524 5570 5616 5662 5707 5753 5799 5845 46 / ^ 5891 5937 5983 6029 6075 6121 6107 6212 0258 6304 46 C 7 6350 6396 6442 6488 6533 6579 6625 6671 6717 6763 46 8 6808 6854 6900 6946 6992 7037 7083 7129 7175 7220 46 ) « 72G6 7312 7358 7403 7449 7495 7541 7586 7632 7678 46 / 950 977724 977769 977815 977861 977906 977952 977998 978043 978089 978135 46 ) 1 8181 8226 8272 8317 8363 8409 8454 8500 8546 8591 46 ) '' 8637 8683 8728 8774 8819 8805 8911 8956 9002 9047 46 I 3 9093 9138 9184 9230 9275 9321 9366 9412 9457 9503 46 4 9548 9594 9639 9085 9730 977C 9821 9867 9912 9958 46 5 980003 980049 980094 980140 980185 980231 980276 980322 980367 980412 45 6 0458 0503 0549 0594 0640 0685 0730 0776 082J 0867 45 / 7 0912 0957 1003 1048 1093 1139 1184 1229 1275 1320 45 / 8 1366 1411 1456 1501 1547 1592 1637 168;i 1728 1773 45 i ^ 1819 1864 1909 1954 2000 2045 2090 2135 2181 2226 45 960 982271 982316 982362 982407 982452 982497 982543 982588 982633 982678 45 ( 1 2723 2769 2814 2859 2904 2949 2994 3040 3085 3130 45 ( 2 3175 3220 3265 3310 3356 3401 3446 3491 3536 3581 45 ( 3 3626 3671 3716 3762 3807 3852 3897 3942 3987 4032 45 ( 4 4077 4122 4167 4212 4257 4302 4347 4392 4437 4482 45 ( 5 4527 4572 4617 4662 4707 4752 4797 4842 4887 4932 45 ( 6 4977 5022 5067 5112 5157 5202 5247 5292 5337 5382 45 ? 9 J 970 5426 5471 5516 5561 5606 5651 5696 5741 5786 5830 45 5875 5920 5965 6010 6055 OlOU 6144 6189 6234 6279 45 632^1 6369 6413 6458 6503 6548 6593 6637 6682 6727 45 986772 986817 986861 986906 986951 986996 987040 987085 987130 987175 45 is 7219 7264 7309 7353 7398 7443 7488 7532 7577 7622 45 7666 7711 7756 7800 7845 7890 7934 7979 8024 8068 45 8113 8157 8202 8247 8291 8336 8381 8425 8470 8514 45 8559 8604 8648 8693 8737 8782 8826 8871 8916 8960 45 9005 9049 9094 9138 9183 9227 9272 9310 9361 9405 45 9450 9494 9539 9583 9628 9672 9717 9761 9806 9850 44 9895 9939 9983 990028 990072 990117 99016] 9^0206 990250 990294 44 990339 990383 990428 0472 0510 056J 0605 0;J50 0694 0738 44 0783 0827 0871 0916 0960 1004 1049 1093 1137 1182 44 ^980 99122G 991270 991315 991359 991403 991448 991492 991536 991580 991625 44 1 1609 1713 1758 1802 1846 1890 1935 1979 2023 2067 44 ) 2 2111 2156 2200 2244 2288 2333 2377 2421 2465 2509 44 J 5 2554 2598 2642 2686 2730 2774 2819 2863 2907 2951 44 2995 3039 3083 3127 3172 3216 3260 3304 3348 3392 44 ; I 3436 3480 3524 3568 3613 3657 3701 3745 3789 3833 44 3877 3921 3965 4009 4053 4097 4141 4185 4229 4273 44 I "^ 4317 4361 4405 4449 4493 4537 4581 4625 4669 4713 44 ( 8 4757 4801 4845 4889 4933 4977 5021 5065 5108 5152 44 ) 9 5196 5240 5284 5328 5372 5416 5460 5504 5547 5591 44 S990 995635 995679 995723 995767 995811 995854 995898 995942 995986 996030 44 S 1 6074 6117 6161 6205 6249 6293 6337 6380 6424 6468 44 ) 2 6512 6555 6599 6643 6687 6731 6774 6818 6862 6906 44 ) 3 6949 6993 7037 7080 7124 /168 7212 7255 7299 7343 44 ) 4 7386 7430 7474 7517 7561 7605 7648 7692 7736 7779 44 ) S 7823 7867 7910 7954 7998 8041 8085 8129 8172 8216 44 ) 6 8259 8303 8347 8390 8434 8477 8521 8564 8608 8652 44 ) 7 8695 8739 8782 8826 8869 8913 8956 9000 9043 9087 44 9131 9174 9218 9261 9305 9348 9392 9435 9479 9522 44 9565 9609 9652 9696 9739 9783 9826 9870 9913 9957 43 Ko.\ I 1 I 3 3 I 4 I 5 I XJ^^-L-^5^4^^ TABLE FOR REDUCING CoMMON TO HYPERBOLIC LOGARITHMS. Com. Hvperb, Log. LofT. \ •21 •48354237 •22 •50650372 •23 •52959457 •24 •552i32012j •2.> •57564627 •26 •59867212 •27 •62169798 •28 •64472383 •29 •66774968 •30 •69077553 •31 •71380138 •32 •73682723 •33 •759353U8 •34 1 •78287893 1 •35 1 •80590478 •36 1 •82893063 ■37 1 ■85195648 •38, •87498234 •39 1 ■89800819 •40 1 ■92103404 Hvperb. Log-. •02302585 j ■04605170 •06907755 •09210340 •11512925 •13815511 ■161180901 ■1842U681I ■2072326G •23025351 •25328436 •27631021 •29933606 •32-236191 •345387761 •36841381 j •39143947 •41446532 •43749117 •46051702 TABLE OF THE GEOGRAPHICAL jMILES in a degree of LONGITUDE \ Hvperb. Log-. Com. Hvperb. LoiT. Lo-. AT EVERY DEGREE OF LATITUDE ON THE TERRESTRIAL SPHEROID, THE ELLIPTICITY BEING ASSUMED ■9440.5989 -61 1^4t>t57691 •96708574 -62 1^42760276 ■99011159 ^63 1^4506286J rOl.313744 •64:l-47;i6544u 1^03616329 -65 1^4966803l! r05918914 •06 ,1^51970616J 1-08221499 ^67 ^•54272201 1-10524084 ^68 ,1^5657.5730 1-128-26670 •Og 1-58878371 1-1512.)255 -70 1-61180953 ■51 |1^17431840 ^71 1^6348.3.>42 ■52 I1-197344-25 ^72 1^65786127 ■53il^22037010 ^73 1^68088712 •54 1-24339595 -74 l-7lj391297 •55 1 1-26442180 -75 1^72u93882 •56 il^23944765 -76 1^74996467 ■57 1 1^31247350 ^77 1-772^9052 53 ! l-3:J54-9935 -78 l-79iXJ1637 .59 il^3.5852520 -79 1-81904-222 6J 11-38155106 -80 r842O6807 TABLE of the velocity and the FORCE of the WIND. Com. Hvperb. Lo^. Lose. 1-8650938 1 ■8381 1978; 1-91114563/ 1-93417148) 1-95719733) 1-980-22318) 200324903 ^ 2-02627488) 2-04930073) 2-07232658) — 2-09535243^ •92 2-1 18378-29 ( •93 1 2- 14140414/ •94 ! 2-16442999 ( ■95 2-18745584? 96 2-21048169/ 97 2-23350754? 98 12-2.56.53.339/ 99 2-27955924? 1-00 12-30258509 ( 1° Loiisr. Miles. 60^000 59-991 59-963 59-918 59-855 ) 5 I 59-773 ) 6 59-673 ) 7 59-5.56 ) 8 ! 59-421 ) 9 i 59-267 ( 10 I 59-095 ( 11 I 5fr905 ( 12 ! 58-698 ( 13 ' 58-472 ? 14 58-2-29 ( 15 57-969 ? 16 ; 57-C,90 17 57-395 18 I 57-081 19 56-751 20 56-403 21 : 56-038 22 55^656 23 55-2.J8 24 54-842 25 54-411 26 53-9 ;2 27 ; 53-497 2S 53-015 29 52-518 30 I 52004 Lai. 1° Long. O Miles. 30 52-004 31 51-475 32 50-929 ! 33 50-369 34 49-793 35 49-202 36 48-596 37 47-975 38 47^339 39 40-689 40 46-025 41 45-346 42 44-654 43 43-948 44 43-228 45 42-496 46 41-7.50 47 40-991 48 40-220 49 39-437 50 38-641 51 37-834 52 37^014 1 53 36-184 i 54 35-342 55 34-491 56 33-6-28 57 32-754 58 31-870 59 30-977 60 30-074 TABLE OF THE ANGLES WHICH EVERY POINT AND aUARTER-POINT OF THE COMPASS MAKES WITH THE MERIDIAN. r""^ — - ( NORTH. Points. O ' " 2 48 45 Points. SOUTH. (, / ~oy i C / h 5 37 30 1 ( ' I 8 26 15 1 ( ( N. byE. N. by W. 1 1 \ 1 h- 1 % 11 15 14 3 45 16 52 30 19 41 15 1 1 k 1 i 1 I S. by E. S. byW. J ( 1 N. N. E. N. N. W. 2 2i 2 h 2 1 22 30 25 18 45 28 7 30 30 56 15 o 2 h. 2 1 S. S. E. S. S. w. j > N. E. by N. N. W. byN. 3 ll 33 45 36 33 45 39 22 30 ^1 3| S. E. by S. S. W. by S. ( ) 3^ 42 11 15 ( N. E. N. W. 4 4i 4 i 4 % 45 47 48 45 50 37 30 53 2(5 15 4 4i 4 h 4| S. E. s. w. ( ) N. E. by E. N. W. by W. 5 5i 5 h 5 I 56 15 59 3 45 61 52 30 64 41 15 5 5i 5 .^ 5| S. E. by E. S. W. by W.< i E. N. E. S ) W. N. W. 6 6 i 6^ 67 30 70 \i 45 73 7 30 75 56 15 6 6 h 65 E. S. E. W. S.W. \ ) ) E. byN. ) W. by N. 7 ?! 7| 78 45 81 33 45 84 22 30 87 11 15 7 E. by S. W. byS. J East. West.^^ ^^8^ 90 u_ East. West. ^ J TABLE OF LOGARITHMIC SINES, TANGENTS, AND SECANTS, TO EVERY POINT AND aUARTER-POlNT OF THE COMPASS. SINES AND TANGENTS, FOR EVERY DEGREE AND MINUTE THE QUADRANT. N. B. The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below. 26 (0 Degree.) A T A E L F 01 "' LOGARITHMIC ' "P^W^^ 1 D- Cosine r^ 'T^'^^^ 1 D- Cotan?. ! 1 0-000000 10-000000 0-000000 Infinite. 60 ( 1 C-463726 501717 000000 00 6-463726 .501717 13-.536274 59 r; 764756 293485 000000 00 764756 293483 235244 .58 940847 208231 000000 00 940847 208231 059153 57 I 4 7-0()5786 161517 000000 00 7-065786 161517 12-934214 56 ( 5 162G96 131968 000000 00 162696 131969 837304 55 / 6 241877 111575 9-999999 01 241878 111.578 758122 54 ( "^ 308824 96653 999999 01 3088-25 996.53 691175 53 8 366816 85254 999999 01 366817 85254 633183 52 9 417968 76263 999999 01 417970 76263 582030 51 10 463725 68988 999998 01 463727 68988 536273 50 ( 11. 7-505118 .62981 9-999998 01 7-505120 62981 12-494880 49 12 542906 57936 999997 01 542909 57933 457091 43 13 577668 5.3641 999997 01 577672 53642 422328 47 ( 14 609853 49938 999996 01 609857 49939 390143 46 15 639816 46714 999996 01 639820 46715 360180 45 > 16 6()7845 43881 99i)995 01 667849 43882 3.32151 44 '11 694173 41372 999995 01 694179 41.373 305821 43 18 718997 39135 999994 01 719003 391.36 280997 42 >19 742477 371-27 999993 01 74'2484 37128 257516 41 20 764754 .3.5315 999993 01 764761 35136 23.5239 40 21 7-785943 33672 9-999992 01 7-785951 33673 12-214049 39 Qt) 80G146 32175 999991 01 8061.55 32176 193845 38 23 825451 30805 999990 01 82.5460 .30806 174.540 37 24 843934 29547 999989 02 843944 29549 156056 36 25 861662 28388 999988 02 861674 28390 138326 35 26 878695 27317 999988 02 878708 27318 121292 34 27 89.5085 2(^323 999987 02 895099 26325 104901 33 28 910879 2.5390 999986 02 910894 2.5401 089106 32 29 926119 24538 999985 (»2 926134 24540 073866 31 30 940842 23733 999983 02 940858 23735 0.59142 30 31 7-955082 22980 9-999982 02 7-9.55100 22981 12044900 29 32 9r>887() f)>->->7'i 999981 02 968889 22275 031111 28 33 982233 21608 9i)9980 02 982253 21610 017747 27 34 995198 20981 999979 02 995219 20983 , 004781 26 35 8-007787 20390 999977 02 8-007809 20392 11-992191 25 36 020021 19831 999976 02 020045 19833 979955 24 37 03il)iy 19302 99i>975 02 031945 19305 9(i8055 23 38 043501 18801 999973 02 043.527 18803 950473 22 \ 39 054781 18325 999972 02 054809 18327 945191 21 ( 40 065776 17872 999971 02 065806 17874 934194 20 '< 41 8-076500 17441 9-999969 02 8-076531 17444 11-923469 19 : 42 08(i965 17031 95«)968 02 086997 17034 91.3003 18 43 097183 l(i639 9999()6 02 097217 16642 902783 1' 44 107167 1()2(;5 999964 03 •107202 162(-.8 892797 16 45 116926 15908 999963 03 116-J63 15910 883037 15 14 46 126471 155(56 999961 03 126510 15.568 873490 47 135810 1.5238 999959 03 13.5851 15241 864149 13 48 144953 14924 999958 03 144996 14927 855004 12 49 153907 14622 999956 03 153952 14627 846048 " 50 162681 14333 999954 03 162727 14336 837273 10 J 51 8-171280 140.54 9-999952 03 8-171328 140,57 11-8-28672 9 / ,52 i 179713 13786 999950 03 179763 13790 820237 v> 53 187985 13529 999948 03 188036 13532 811964 54 196102 13280 999946 i 03 1961.56 13284 803844 ^ ( 55 204070 13041 999944 03 204126 13044 795874 •->( 56 211895 12810 999942 04 2119.53 12814 788047 4 / 57 ! 219581 12587 999940 04 219641 12590 7803.59 •3 ( 58 227134 12372 999938 04 227195 12376 772805 2 ( ^•! 234557 12164 999936 04 234621 12168 765379 11 60 ' 241855 11963 999934 1 04 241921 11967 758079 --~i .^^ Cosine ^_,^^_J Sine 1 1 ^ Cctan^^l^ ^_,, T ^_Tanor. 1^ I 891 )eirre es. SINES AND TANGE>fTS. (1 Degree.) 27 M. Sine D. 1 Cosine D. Tang, D. Cutan?. 8-241855 • 11963 9-999934 04 8-241921 11967 11-758079 60 ) 1 249033 11768 999932 .04 249102 11772 750898 59 2 256094 11580 999929 04 256165 11.584 743835 58 3 263042 11398 999927 04 263115 11402 736885 57 4 269881 11221 999925 04 269956 11225 730044 56 5 276614 11050 999922 04 276691 11054 723309 55 6 283243 10883 999920 04 283323 10887 716677 54 7 289773 10721 999918 04 289856 10726 710144 53 s 296207 10565 999915 04 296292 10570 703708 52 9 302546 10413 999913 04 302634 10418 697366 51 ) 10 308794 10266 999910 04 308884 K;270 691116 50 ) 11 8-314954 10122 9-999907 04 8-315046 10126 11-684954 49 ) 12 321027 9982 999905 04 321122 9987 678878 48 W3 14 ) 15 327016 9847 999902 04 327114 9851 672886 47 332924 9714 999899 05 333025 9719 666975 46 338753 9586 999897 05 338856 9590 661144 45 ) 16 344504 9460 999894 05 344610 9465 655390 44 17 350181 9338 999891 05 350289 9343 649711 43 18 355783 9219 999888 05 3.55895 9224 644105 42 ) 19 361315 9103 999885 05 361430 9108 638570 41 ) 20 366777 8990 999882 05 366895 8995 633105 40 } 21 8-372171 8880 9-999879 05 8-372292 8885 11-6-27708 39 ) 22 377499 8772 999876 05 377622 8777 622378 38 ) 23 382762 8667 999873 05 382889 8672 617111 37 ) 24 387962 8564 999870 05 388092 8570 611908 36 )2.5 26 393101 84(;4 999867 05 393234 8470 606766 35 368179 8366 9998f>4 05 398315 8371 601685 34 ) 27 403199 8271 999861 05 403338 8276 596662 33 ^28 . 408161 8177 999858 05 408304 8182 591696 32 29 )30 413008 8086 999854 05 413213 8091 586787 31 417919 7996 999851 06 418068 8002 581932 30 )31 8-422717 7909 9-999848 00 8-422869 7914 11-577131 29 I 32 427462 7823 999844 06 427618 7830 572382 28 ) 33 42215G 7740 999841 06 432315 7745 567685 27 /34 436800 7657 999838 06 436902 7663 563038 26 ;35 441394 7577 999834 06 441560 7583 558440 25 ; 36 445941 7499 999831 06 446110 7505 553890 24 ) 37 450440 7422 999827 00 450613 7428 549387 23 )38 454893 7346 999823 06 455070 7352 544930 22 ; 39 459301 7273 999820 06 459481 7279 540519 21 } 40 463665 7200 999816 06 403849 7206 536151 20 /41 42 8-467985 7129 9-999812 06 8-468172 7135 11-531828 19 472263 7060 999809 06 472454 7066 527.546 18 43 476498 699] 999805 06 • 476693 6998 523307 17 44 480693 6924 999801 06 480892 6931 519108 16 45 484848 6859 999797 07 485050 6865 514950 15 46 488963 6794 999793 07 489170 6801 510830 14 >47 493040 6731 999790 07 493250 6738 506750 13 ) 48 497078 6669 999786 07 497293 6676 502707 12 ;49 501080 6608 999782 07 501298 G615 498702 11 / 50 505045 6548 999778 07 505267 65.55 494733 10 Jnl 52 ( 53 8-508974 6-189 9-999774 07 8-.509200 6496 11-490800 9 512867 6431 999769 07 513098 6439 486902 8 516726 6375 999765 .07 516961 6382 48.3039 7 ' 54 520551 6319 9997(51 07 520790 6326 479210 6 ( 55 56 h 524343 6264 990757 07 524586 6272 475414 5 528102 6211 989753 07 528349 6218 471651 4 531828 6158 999748 07 ' 532080 6165 467920 3 535523 6106 999744 07 535779 6113 464221 2 539186 6055 999740 07 539447 6062 460553 1 542819 6004 999735 07 543084 6012 456916 I Cosine | I Cotaiig. I I Tang. I Degrees. 28 (2 Degrees.) a TABLE OF LOGARITHMIC mTi Sine D. Cosine D. 1 Tans. D. Cotang-. 8-542819 6004 9-999735 07 8-543084 6012 11-456916 60 1 546422 5955 999731 07 540691 5962 453309 59 2 549995 5906 999726 07 550268 5914 449732 58 3 553539 5858 999722 08 5.53817 5866 446183 57 4 557054 5811 999717 08 557336 5819 442664 56 5 560540 5765 999713 08 560828 5773 439172 55 6 5639yj 5719 999708 08 564291 5727 435709 54 567431 5674 999704 08 567727 5682 432273 53 8 570H3G 5630 999699 08 .571137 5638 4288G3 52 9 574214 5587 999694 08 574520 5595 425480 51 10 5775G6 5544 999689 08 577877 5552 422123 50 11 8-580892 5502 9-999685 08 8-581208 .5510 11-418792 49 12 5H41<)3 5460 999680 08 584514 5468 415486 48 13 5874()9 5419 999675 08 587795 5427 412205 47 14 590721 5379 999670 08 5910^1 5387 408949 4(5 15 593948 5339 999665 08 594283 5347 405717 45 1(> 597152 5300 999G60 08 597492 5308 4025U8 44 17 600332 5261 999655 08 600(i77 5270 399323 43 18 603489 5223 999650 08 603839 5232 396161 42 19 600623 5186 999645 09 606978 5194 393022 41 20 609734 5149 999640 09 610094 5158 389906 40 21 8-612823 5112 9-999635 09 8-613189 5121 11-386S11 39 23 615891 5076 999629 09 616262 5085 383738 "38 23 618937 5041 999621 09 G19313 50.10 380687 37 24 621962 5006 999619 09 622343 5015 377657 36 25 624965 4972 999614 09 625352 4981 374648 35 26 627948 4938 999608 09 628340 4947 371660 34 27 630911 4904 999603 09 631308 4913 368692 33 28 633854 4871 999597 09 634256 4880 365744 32 29 636776 4839 999592 09 637184 4843 362816 31 30 639680 4806 999586 09 640093 4816 359907 30 31 8-642563 4775 9-999581 09 8-642982 4784 11-3.57018 29 32 645428 4743 999575 09 G45853 4753 354147 28 33 648274 4712 99!>57il 09 648704 4722 351296 "7 34 651102 4682 999564 09 651537 4691 3484'^3 2(5 35 653911 4652 999558 10 6.54352 4661 345043 25 36 656702 4()22 999553 10 657149 4631 342851 24 37 659475 4592 999547 10 659928 4602 340072 23 38 662230 4563 999541 10 662689 4,573 337311 22 39 664968 4535 999535 10 665433 4544 334567 21 40 .667689 4506 999529 10 668160 4,5215 331840 20 41 8-670393 4479 9-999524 10 8-670870 4488 11-329130 19 42 673080 4451 999518 10 673563 4461 326437 18 43 675751 4424 999512 10 676239 4434 323761 17 44 678405 4397 99959G 10 678900 4417 321100 16 45 681043 4370 999500 10 681.544 4380 318456 15 46 683665 4344 999493 10 684172 4354 31.5828 14 47 686272 4318 999487 10 686784 4328 313216 13 48 688863 4292 999481 10 689381 4303 310619 12 49 691438 4267 999475 10 691963 4277 308037 n 50 693998 4242 999469 10 694.529 4252 305471 10 51 8-.696543 4217 9-999463 11 8-697081 4228 11-3029] 9 9 52 699073 4192 999456 11 699617 4203 300383 8 53 701589 4168 999450 11 702139 4179 297861 7 54 704090 4144 999443 11 704646 41.55 29.5354 6 55 706577 4121 999437 11 707140 4132 292860 5 56 709049 4097 999431 11 709618 4108 290382 4 57 711507 4074 999424 11 712083 4085 287917 3 58 713952 4051 999418 11 714.534 4062 28.5465 2 59 716383 4029 999411 11 716972 4040 283028 1 60 718800 4006 999404 11 719396 4017 280604 IM. Degrees. SINES AND TANGENTS. (3 Degrees.) 29 M. Sine D. Cosine D. Tang. D. Cotang. i 8-718800 4006 9-999404 11 8-719396 4017 11-280604 60 ) 1 721204 3984 999398 11 721806 3995 278194 59 2 723595 3962 999391 11 724204 3974 275796 58 ) 3 725972 3941 999.384 11 726588 3952 273412 57 ) 4 7283:i7 3919 999378 11 728959 3930 271041 56 , 5 730688 3898 999371 11 731317 3909 268683 55 1 6 733027 3877 9993()4 12 733663 3SS9 266337 .54 ; 7 73.5354 3857 999357 12 735996 3868 2W004 53 / 8 737667 3836 999350 12 738317 3848 261683 52 ; 9 7399f59 3816 999343 12 740626 3827 259374 51 ; 10 742259 3796 999336 12 742922 3807 257078 50 { 11 8-744536 3776 9-9993-29 12 8-745207 3787 11.2.54793 49 } 12 746802 37:>6 999322 12 747479 3768 252521 48 > 13 749055 3737 999315 12 749740 3749 250260 47 ) 14 751297 3717 999308 12 7.51989 3729 248011 46 / 15 753528 3698 999301 12 754227 3710 245773 45 ) 16 755747 3679 999294 12 756453 3692 243547 44 ) 17 757955 3661 999286 12 758668 3673 241332 43 ) 18 ) 19 760151 3642 999279 12 760872 3655 239128 42 T62337 3624 999272 12 763065 36.36 236935 41 ; 20 7fr4511 :3606 9992(i5 12 765246 3618 234754 40 I 21 S-766675 3588 9-999257 12 8-767417 3600 11-23-2583 39 ^ 22 768828 3570 999250 13 769578 3;583 230422 38 I 23 770970 3553 999242 13 -71727 3505 228273 37 ? 24 25 773101 3535 999235 13 773866 3543 226134 36 775223 3518 999227 13 775995 3531 224005 35 ( 26 ) 27 777333 3501 999220 13 778114 3514 221886 34 779434 3484 999212 13 780222 3497 219778 33 ;28 .781524 3407 999205 13 782320 3480 217680 32 / 29 783605 3451 999197 13 784408 3464 215592 31 30 785675 3431 999189 13 786486 3447 213514 30 31 32 8-787736 3418 9-999181 13 8-788554 ■mi 11-211446 29 789787 ^402 999174 13 790613 3414 209387 28 33 34 35 791828 3386 999166 13 792662 3399 207338 27 793859 3370 999158 13 794701 3383 205299 20 795881 3354 999150 13 796731 3368 203269 25 36 37 797894 3339 999142 13 798752 3352 201248 24 799897 3323 999134 13 800763 3337 199237 23 38 801892 3308 9991-26 13 802765 3322 197235 22 39 803876 3293 999198 13 804758 3307 195-242 21 40 805852 3278 999110 13 806742 3292 193258 20 41 42 43 8-807819 3263 9-999102 13 8-808717 3278 11191-283 19 809777 3249 999094 14 810683 3262 189317 18 811726 3234 999086 14 812641 3248 187359 17 ; 44 45 81.3667 3219 999077 14 814589 3233 18.5411 16 815599 3205 999069 14 816529 3219 183471 15 46 817522 3191 999061 14 818461 3205 181539 14 (-47 81JM36 3177 999053 14 820384 3191 179616 13 48 49 50 821343 3163 999044 14 822298 3177 177702 12 823240 3149 999036 14 824205 3163 175795 11 825130 3135 999027 14 826103 31.50 173897 10 >51 e-827011 3122 9-999019 14 8-827992 3136 11-172008 9 / 52 8-28884 3108 999010 14 829874 31-23 170126 8 ,: 53 830749 3095 999002 14 831748 3110 l(i8252 ) 54 83^607 3082 998993 14 833613 3096 lf;6387 6 ; 55 834456 30{)9 998984 14 835471 3083 164529 5 ; 56 836297 3056 998976 14 837321 3070 1C2679 4 ,) 57 838130 3043 998967 15 839163 30.57 160837 3 ; 58 829956 3030 998958 15 840998 3045 159002 2 ') 59 841774 3017 998950 15 842825 3o:]2 1.57175 1 )60_ 843585 3000 998941 15 844644 3019 1.55356 Decrees. 3* 30 (4 Degree? .) A TABLE OF LOGARITHMIC ^M^ r^smT ~ 1 D. CoMne D. Ta„g. 1 D. Colang. 8-843585 3005 9-998941 15 8-844644 3019 11-155356 60 I 845387 2992 998932 15 846455 3007 153545 59 2 847183 2980 998923 15 848260 2995 151740 58 3 848J71 2967 998914 15 850057 2982 149943 57 4 85U751 2955 998905 15 851846 2970 148154 56 5 852525 2943 998896 15 853628 2953 146372 55 6 854291 2931 998887 15 855403 2946 144597 54 7 856049 2919 998878 15 857171 2935 142329 53 . 8 857801 2907 998869 15 858932 2923 141068 52 ^ 85d546 2890 998860 15 860686 2911 139314 51 HI 861283 2884 998851 15 862433 2900 137567 50 11 8-863U14 2873 9-998841 15 8-864173 2888 11-135827 49 i-2 864738 2861 998832 15 865906 2877 134094 48 13 866455 2850 998823 16 867632 2866 132368 47 14 868165 2839 998813 10 869351 2854 130049 46 15 869868 28-28 998804 16 871064 2843 128930 45 10 871565 2817 998795 10 872770 2832 127230 44 17 873255 2806 998785 10 874469 2821 125531 43 18 874938 2795 998776 10 876162 2811 123838 42 ly 876615 2786 998766 16 877849 2800 122151 41 20 878285 2773 998757 16 879529 2789 120471 40 21 8-879949 2763 9-998747 10 8-881202 2779 11-118798 39 20 881607 2752 998738 10 882869 2768 117131 38 23 883258 2742 998728 10 884530 2758 115470 37 24 884903 2731 998718 16 886185 2747 113815 36 2.> 886542 2721 998708 16 887833 2737 112167 35 2tj 8881', 4 2711 998699 16 889470 2727 110524 34 27 889801 2700 998689 10 891112 2717 108888 33 28 891421 2690 998679 10 892742 2707 107258 32 29 893035 2680 998609 17 894366 2697 105634 31 30 894643 2670 998659 17 895984 2687 104016 30 31 8-896246 2G60 9-998649 17 8-897596 2077 11-102404 29 32 897842 2651 998639 17 899203 2067 100797 28 33 899432 2G41 998629 17 900803 2658 099197 27 34 901017 2631 998619 17 902398 2648 097602 20 35 902596 2622 998009 17 903987 2638 096013 25 36 9U416U 2612 998599 17 905570 2629 094430 24 37 905736 2603 998589 17 907147 2620 092853 23 38 907297 2593 998578 17 908719 2610 091281 22 39 908853 2584 998568 17 9H)285 2601 089715 21 40 910404 2575 998558 17 911846 2.592 088154 .20 41 8-91 1949 2566 9-998548 17 8-913401 2583 11-080599 19. 42 913488 2556 998537 17 914951 2574 0a5049 18, 43 915022 2547 998527 17 916495 2565 083505 17 44 916550 2538 998516 18 918034 2550 081966 16 45 918073 2529 998506 18 919568 2547 080432 15 46 919591 2520 998495 18 921096 2538 078904 14 47 921103 2512 998485 18 922619 2530 077381 13^ 48 922610 2503 998474 18 924136 2521 075864 12 ' 49 924112 2494 998-164 18 925649 2512 074351 11 50 925609 2486 998453 18 927156 2503 072844 10 51 8-927100 2477 9-998442 18 8-928658 2495 11-071342 9 52 928587 2469 998431 18 930155 2486 069845 8' J 53 930068 2460 998421 18 931647 2478 068353 7 54 931544 2452 998410 18 933134 2470 G>^6860 6 55 933015 2443 998399 18 934616 2461 065384 5 56 934481 2435 998388 18 930093 2453 063907 4 57 935942 2427 998377 18 937505 2445 062435 3 ,58 937398 2419 998366 18 939032 2437 060968 2 59 938850 2411 998355 18 940494 2430 059506 1 60 940296 2403 998344 18 941952 2421 058048 -±( Cosine ^i^'e^_ I^^Comng^^ '^^-.^ ^ i_^ Jai.g^^ M. ' 85 Degi-e ;s. SINES AND TANGENTS. (5 Degrees.) 31 M. Sine '^I>- Cosine ^ D. Tang. D. Cotan». 8-940296 2403 9-998344 19 8-941952 2421 11-0.58043 60 1 941738 2394 998333 19 943404 2413 056596 59 943174 2387 998322 19 944852 2405 0.55148 58 3 944606 2379 998311 19 946295 2397 053705 57 4 946034 2371 998300 19 947734 2390 0.52266 56 5 947456 2363 998289 19 949168 3-282 050832 55 () 948874 2355 998277 19 950597 2374 049403 54 950237 2348 998266 19 952021 2366 047979 53 951696 2340 998255 19 953441 2360 046559 52 U 953100 2332 998243 19 954856 2351 045144 51 10 954499 2325 998232 19 956267 2344 043733 50 11 8-95.1894 2317 9-998220 19 8-957674 2337 11-042326 49 12 9572>!4 2310 9J82U9 19 959075 2;]29 040925 48 13 958670 2302 998197 19 960473 2323 039527 47 14 9(0,).)2 2295 998186 19 961866 2314 038134 46 1.5 961429 2-288 998174 19 9(}3255 2307 036745 45 It) 9()28i»l 2280 998163 19 964639 2300 035361 44 17 9(34170 2273 998151 19 966019 2293 03.3981 43 18 965534 22()6 998139 20 9()7394 2286 0.32606 42 19 i«)6893 2259 998128 20 968766 2279 031234 41 20 968249 2252 998116 20 970133 2271 029867 40 21 8-969600 2244 9-993104 20 8-971496 2265 11028.5C4 39 22 970947 2238 998092 20 972855 22.57 0-27145 38 23 972289 2-231 998080 20 974209 2-251 02.5791 37 24 973628 2-224 998068 20 975560 2244 024440 36 25 974962 2217 998056 20 976906 2237 023094 35 26 976293 2210 998U44 20 978248 •2230 021752 34 27 977619 2203 998032 20 979.586 2-223 0-20414 33 28 978941 2197 998020 20 980921 2217 019079 32 29 980259 2 J 90 998008 20 982251 2210 017749 31 30 981573 2183 997996 20 983577 2204 016423 30 31 8-982883 2177 9-997984 20 8-984899 2197 11-015101 29 32 984189 2170 997972 20 98()217 2191 01.3783 28 33 985491 2163 9979.59 20 987.532 2184 012468 27 34 986789 2157 997947 20 988842 2178 011158 26 35 988083 21.50 997935 21 990149 2171 009851 25 36 989374 2144 997922 21 991451 2165 008.549 24 37 990660 2138 997910 21 99-2750 2158 007250 23 38 991943 2131 997897 21 994045 2152 005955 22 39 993222 2125 997885 21 99.5337 2146 004663 21 40 994497 2119 997872 21 996624 2140 003376 20 41 8-995768 2112 9-997860 21 8-997908 2134 11-002092 19 42 997036 2106 9!)7847 21 999188 2127 000812 18 43 998299 2100 997835 21 000465 21-21 10-999.535 17 44 999560 2094 997822 21 001738 2115 998262 16 45 9-000816 2087 997809 21 003007 2109 996993 15 46 002069 2082 997797 21 004272 2103 99.5728 14 •47 003318 2076 997784 21 005534 2097 994466 13 48 004563 2070 997771 21 006792 2091 993208 12 49 005805 2064 997758 21 008047 8085 991953 11 50 007044 2058 997745 21 009298 2080 990702 10 51 8-008278 20.52 8-997732 21 - 8-010546 2074 10-9894.54 9 52 009510 2046 997719 21 011790 2,)68 988210 8 53 010737 2040 997706 21 013031 2062 986969 7 54 011962 2034 997693 22 014268 2056 985732 6 55 013182 2029 997680 22 01.5502 2051 984498 5 56 014400 2023 997667 22 016732 2045 983268 4 57 015613 2017 9976.54 22 017959 2040 98-2041 3 ) 58 0168-24 2012 997641 22 019183 2033 980817 2 / 59 018031 2006 997628 22 020403 2;)28 979597 1 60 019235 2000 997614 22 0216-20 2023 ••78380 I Cosine | 84 Degrees. I Tang. I M.' 32 (6 Degrees. ) a t a b i. e f I, g a r I t h m I C 'Tm^ l"-"^^"^ ! U- Cosine 1 D. Tang. D. Cctang. "^ 9-019235 2000 9-997614 22 9-021620 2023 10-978380 60 1 020435 1995 997601 22 022834 2017 977166 59 ) 2 021632 1989 997588 22 024044 2011 975956 58 ) 3 022825 1984 997574 22 025251 2006 974749 57 ) 4 024016 1978 997561 22 026455 2000 973545 56 ) 5 025203 1973 997547 22 027655 1995 972345 55 ) Ci 026386 1967 997534 23 028852 1990 971148 54 ) 7 027567 ]962 997520 23 030046 1985 969954 53 8 028744 1957 997507 23 031237 1979 968763 52 9 029918 1951 997493 23 032425 1974 967575 51 10 031089 1947 997480 23 033609 1969 966391 50 11 9-032257 1941 9-997466 23 9-034791 1964 10-965209 49 12 033421 1936 997452 23 035969 1958 964031 48 13 (i34582 1930 997439 23 037144 1953 962856 47 14 035741 1925 997425 23 038316 1948 961684 46 15 036896 1920 997411 23 039485 1943 960515 45 16 038048 1915 997397 23 040651 1938 959349 44 17 039197 1910 997383 23 041813 1933 958187 43 18 040342 1905 997369 23 042973 19-28 957027 42 19 041485 1899 997355 23 044130 1923 955870 41 20 042625 1894 997341 23 045284 1918 954716 40 21 9 043762 1889 9-997327 24 9-046434 1913 10-953566 39 22 044895 1884 997313 24 047582 1908 952418 38 23 046026 1879 997299 24 048727 1903 951273 37 24 047154 1875 997285 24 049869 1898 , 950131 36 25 048279 1970 997271 24 051008 1893 948992 35 26 049400 1865 997257 24 052144 1889 947856 34 27 050519 , 1860 997242 24 053277 1884 946723 33 28 051635 1855 997228 24 054407 1879 945593 32 29 052749 1850 997214 24 055535 1874 944465 31 30 053859 1845 997199 24 056659 1870 943341 30 31 054966 1841 9-997185 24 9-057781 1865 10-942219 29 32 056071 1836 997170 24 058900 1869 941100 28 33 057172 1831 997156 iM 060016 1855 939984 27 34 058271 1827 997141 24 061130 1851 938870 26 35 059367 1822 997127 24 062240 1846 937760 25 36 060460 1817 997112 24 003348 1842 936652 24 37 061551 1813 997098 24 064453 1837 935547 23 38 062639 1808 997083 25 065550 1833 934444 22 39 063724 1804 997068 25 066655 1828 833345 21 40 064806 1799 997053 25 067752 1824 932248 20 41 9-065885 1794 9-997039 25 9-968846 1819 10-931154 19 , 42 066902 1790 997024 25 069938 1815 930062 18 ( 43 068036 1786 997009 25 071027 1810 928973 17 ( 44 069107 1781 996994 25 072113 1806 927887 16 45 070176 1777 996979 25 073197 1802 926803 15 46 071242 1772 996964 25 074278 1797 925722 14 47 072306 1768 996949 25 075356 1793 924644 13 48 073366 1763 996934 25 07()432 1789 923568 12) 49 074424 1759 • 996919 25 077505 1784 922495 11 ( 50 075480 1755 996904 25 078576 1780 921424 10 J 51 9-076533 1750 9-996889 25 9-079644 1776 10-920356 9 ( 52 077583 1746 996874 25 080710 1772 919290 8 ( 53 078631 1742 996858 25 081773 1767 918227 7 / 54 079G76 1738 990843 25 082833 1763 917167 6 55 080719 1733 996828 25 083891 1759 916i09 5 ( 50 081759 1729 996812 26 084947 1755 915053 M 57 082797 1725 996797 26 086000 1751 914000 3 58 083832 1721 996782 26 087050 1747 912950 - 59 084864 1717 996766 26 088098 1743 911902 1 60 085894 1713 996751 26 089144 1738 910856 ( ^_Cosi,^^ ^'"^__^ ^-^U ^otap|.^^ j^ ^L^i^f:^-.! Jti ^-.^ ^^^^ ^ 83 Degre ^S. SINES AND TANGENTS. (7 Degrees.) 33 I Cosine I Tan?. I D. I Cotaii" 9-085F94 1713 9-996751 26 9-089144 1738 10-910856 60 1 086922 1709 996735 26 090187 1734 909813 59 2 087947 1704 996720 26 091228 1730 908772 58 3 088970 1700 996704 26 092266 1727 907734 57 4 089090 1696 996688 26 093.302 1722 906698 56 5 091008 1692 996673 26 094336 1719 905664 55 6 092024 1688 996657 26 09.5367 , 1715 904633 54 093037 1684 996641 26 096395 1711 903605 53 8 094047 1680 996625 26 097422 1707 902578 52 9 0950.50 1676 996610 26 098446 1703 9015.54 51 10 09C<0«2 1673 99(5594 26 099468 1699 900532 50 11 9-()970r>5 1668 9-996578 27 9-100487 1695 10-899513 49 12 098006 1665 996,562 27 101504 1691. 898496 48 13 099065 1661 990.546 27 102519 1687 897481 47 14 100062 1()57 996530 27 103532 1684 896468 46 1.5 101056 l(i53 996514 27 104542 1680 895458 45 IG 102048 1(549 990498 27 105.5.50 1676 894450 44 17 103037 1645 99(5482 27 10(5556 1672 893444 43 IS 104025 1641 996465 27 107559 1669 892441 42 19 10.5010 1638 996449 27 1085(50 1665 891440 41 20 lt)5992 1634 996433 27 109559 1661 890441 40 21 9-106973 1630 9-996417 27 9-110556 1658 10-889444 39 22 107951 1627 996400 27 111.551 1654 888449 38 23 108927 1623 996384 27 112.543 1650 887457 37 24 109901 1619 996368 27 11.3.533 1646 886467 36 25 110873 1616 990351 27 114.521 1643 885479 35 26 111842 1612 996335 27 115.507 1639 884493 34 27 112809 1608 996318 27 116491 1636 883509 33 28 113774 1005 996302 28 117472 1632 882528 32 29 114737 1601 996285 28 118452 1629 881.548 31 30 11.5698 1597 996269 28 119429 1625 880571 30 31 9-116656 1594 9-99(52.52 28 9-120404 1622 10-879596 29 32 117613 155)0 996235 28 121377 1618 878623 28 33 118567 1587 99(5219 28 122348 1615 877652 27 34 119519 1583 996202 28 123317 1611 876683 26 35 120469 1580 996185 28 124284 1607 875716 25 3(5 121417 1576 996168 28 125249 1604 874751 24 37 122362 1573 996151 28 12(i211 1601 873789 23 38 123306 1569 996134 28 127172 1597 872828 22 39 124248 1566 996117 28 1-28130 1594 871870 21 40 125187 1562 996100 28 129087 1591 870913 20 41 9-126125 1559 9-996083 29 9-130041 1587 10-869959 19 42 127060 1556 996066 ■29 130994 1584 8i>9006 18 43 127993 1552 99(5049 29 131944 1581 868056 17 44 128925 1549 996032 29 132893 1577 867107 16 45 129854 1545 996015 29 133839 1574 866161 15 46 130781 1542 995998 29 134784 1571 86.5216 14 47 131706 1539 99.5980 29 135726 1567 864274 13 48 132630 1535 995963 29 136667 1564 863333 12 49 133551 1532 995946 29 137605 1561 862395 11 50 134470 1529 995928 29 138542 1558 8614.58 10 51 9-135387 1525 9-995911 29 9-139476 1555 10-860524 9 52 136303 1522 995894 29 140409 1551 859.591 8 53 137216 1519 995876 29 141340 1548 8.58660 7 54 138128 1516 995859 29 142269 1.545 857731 6 55 139037 1512 995841 29 143196 1542 856804 5 56 139944 1509 995823 ■ 29 144121 1539 855879 4 57 140850 1506 995806 29 145044 1535 854956 3 58 141754 1503 995788 29 145966 1532 854034 2 59 142655 1500 995771 29 146885 1529 853115 1 60 143555 1496 995753 29 147803 1526 852197 82 Degrees. 34 (8 Degrees.) A TABLE OF LOGARIT II M I C M. 1 Sine D. Cosine D. Tansr. 1 cf. Cotanj. 9-143555 1496 9995753 30 9-147803 1526 10.852197 60 1 144453 1493 995735 30 148718 1523 851282 59 2 145349 1490 995717 30 149632 1520 850368 58 3 146243 1487 995699 30 i50544 1517 849456 57 4 147136 1484 995681 30 151454 1514 848546 56 5 148026 1481 995664 30 152363 1511 847037 55 6 148915 1478, 995646 30 153209 1508 846731 54 7 149802 1475 9958^28 30 154174 1505 845826 53 8 150686 1472 995610 30 155077 1502 844923 52 9 151569 1469 995591 30 155978 1499 844022 51 10 152451 1466 995573 30 156877 1496 843123 50 11 9153330 1463 9-995555 30 9-157775 1493 10-842225 49 12 154208 • 1460 995537 30 158671 1490 841329 48 13 155083 1457 995519 30 159565 1487 840435 47 14 155957 1454 995501 31 160457 1484 839543 46 15 156830 1451 995482 31 161347 1481 838653 45 16 157700 1448 995404 31 162236 1479 837764 44 17 158569 1445 995446 31 163123 1476 836877 43 18 159435 1442 995427 31 164008 1473 835992 42 19 160301 1439 995409 31 164892 1470 835108 41 20 161164 1436 995390 31 165774 1467 834226 40 21 9-162025 1433 9-995372 31 9-166654 1464 10-833346 39 22 162885 1430 995353 31 167532 1461 832468 38 23 163743 1427 995334 31 168409 1458 831591 37 24 164600 1424 995316 31 109284 1455 830716 36 23 165454 1422 995297 31 170157 1453 829843 35 26 166307 1419 995278 31 171029 1450 828971 34 27 167159 1416 995260 31 171899 1447 828101 33 28 168008 1413 995241 32 172767 1444 827233 32 29 168856 1410 995222 32 173634 1442 8'.>,(i36fi 31 30 169702 1407 995203 32 174499 1439 825501 30 31 9-170547 1405 9-995184 32 9-175362 1436 10-824638 29 32 171389 1402 995165 32 176224 1433 823776 28 33 172230 1399 995146 32 177084 1431 822916 27 34 173070 1396 995127 32 177942 1428 822058 26 35 173908 1394 995108 32 178799 1425 821201 25 36 174744 1391 995089 32 179655 1423 820345 24 37 175578 1388 995070 32 180508 1420 819492 23 38 176411 1386 995051 32 181360 1417 818040 22 39 177242 1383 995032 32 182211 1415 817789 21 40 178072 1380 995013 32 183059 1412 816941 20 41 9-178900 1377 9-994993 32 9-183907 1409 10-816093 19 42 179726 1374 994974 32 184752 1407 815248 18 43 180551 1372 994955 32 185597 1404 814403 17 44 181374 1369 994935 32 186439 1402 813561 16 45 182196 1366 994916 33 187280 1399 812720 15 46 183016 1364 994896 33 188120 1396 811880 14 47 183834 1361 994877 33 188958 1393 811042 13 48 184651 i:i59 994857 33 189794 1391 810206 12 49 185466 1356 994838 33 190629 1389 809371 11 50 186280 1353 994818 33 191462 1386 808538 10 51 9-187092 1351 9-994798 33 9-192294 1384 10-807706 9 52 187903 1348 994779 33 19312^1 1381 806876 8 53 188712 1346 994759 33 193953 1379 806047 7 54 189519 1343 994739 33 194780 1376 805220 6 55 190325 1341 994719 33 195606 1374 804394 5 56 191130 1338 994700 33 196430 1371 803570 4 57 191933 1336 994680 33 197253 1369 802747 3 58 192734 1333 994660 33 198074 1366 801926 2 59 193534 1330 994640 33 198894 1364 801106 1 60 194332 1328 994620 33 199713 1361 800287 1 Tang. 1 M. 81 Degrees. AND TANGENTS. (9 Degrees.) 35 M. Sine 1 D. Cosine D. TKn22i)2 1189 737 7o8 38 23 255834 1148 992829 39 263005 1187 736995 37 24 256523 1146 9^2806 39 263717 1185 736283 36 25 257211 1144 992783 39 264428 1183 735572 35 26 257898 1142 992759 39 265138 1181 734862 34 27 258583 1141 992736 39 265847 1179 734153 33 28 259268 1139 992713 39 266555 1178 733445 32 29 259951 1137 9iJ2690 39 267261 1176 7327J9 31 30 260633 1135 992o66 39 267967 1174 732033 30 31 9-261314 1133 9-992643 39 9-268671 1172 10-731329 29 32 2619ii4 1131 992619 39 269375 1170 73i>625 28 33 262673 1130 99-i5y6 39 270077 1169 729923 27 34 263351 1128 992572 39 270779 1167 72^221 26 35 264027 1126 992549 39 271479 1165 726^21 25 36 264703 1124 992525 39 272178 1164 72»rt22 24 37 265377 1122 99251(1 39 272876., 1162 727124 23 38 266051 1120 992478 40 273573 1160 726427 22 #39 266723 1119 992454 40 274269 1158 725731 21 40 267395 1117 992430 40 274^64 1157 725036 20 41 9-268065 1115 9-992406 40 9-275658 1155 10-724342 19 42 268734 1113 992382 40 276^51 1153 723649 18 < 43 269402 1111 992359 40 277043 1151 722957 17^ 44 270069 1110 992335 40 277734 1150 722266 16 45 270735 1108 992311 40 278424 1148 721576 15 46 271400 1106 992287 40 2791 J 3 1147 72o8»7 14 47 272064 1105 992-263 40 279801 1145 72olj9 13 48 272726 1103 9^2239 40 2t0488 1143 719512 12 ^ 49 273388 1101 992214 40 281174 1141 7lac26 il 50 274049 1199 992190 40 2dl858 1140 7l8i42 10 ^ 51 9-274708 1098 9-992166 40 9-282542 1138 10-717458 9 ) 52 275367 1096 992142 40 283225 1136 716775 8 / 53 276024 1094 992117 283907 1135 716093 '' ) 54 276()81 1092 992093 284588 1133 715412 6 55 277337 1091 992U69 285268 1131 714732 5 ) 56 277991 1089 992044 285947 1130 714053 4 ) 57 278644 1087 992020 286624 1128 713376 3 ) 58 279297 1086 991996 287301 1126 712699 2 ) 59 279948 1084 991971 287977 1125 712023 1 ) 60 280599 1082 991947 288652 1123 711348 J 70 Degrees. SINES AND T A N G E N TS. (11 De-n-ees.) 37 M. Shie ^"^r^~" Cosine i D. '^:;:^r^ D. Cotang. ...^-1 9-280599 1082 9-991947 41 9-288652 1123 10-711348 60 1 281i>48 1081 991922 41 289326 1122 710674 59 2 '2^1^'J7 1079 , 991897 41 289999 1120 710001 58 3 '282544 1077 991873 i 41 290671 1118 709329 .57 ■t 283190 1076 991848 1 41 29J342 1117 708658 56 .5 28383C 1074 ' 991823 41 292013 1115 70798^7 55 «; 2-^4480 1072 991799 41 292682 1114 707318 .54 7 2^5124 1071 991774 42 293350 1112 706650 .53 8 2^57(i(J 1069 991749 42 294017 1111 705983 52 'J 28(i408 1067 991724 42 2:»40&1 1109 705316 51 h) 287U48 1066 991699 42 295349 1107 704651 .50 11 9-287«87 1064 9-991674 42 9-2;)60l3 1106 10-703987 49 1-2 288326 1063 9911)49 42 296677 1104 703323 48 i:? 2889G4 1061 99J624 42 297339 1103 702661 47 J4 2-'J()(t0 1059 991599 42 298001 1101 701999 46 I.'- 2;Kt236 1058 991574 42 298662 1100 701338 . 45 iii 29i)870 1056 991549 42 299322 1098 700678 44 IT 2ia5H4 1054 991524 42 299980 1096 700020 43 |.^ 2il2137 1053 991498 42 300638 1095 699362 42 Il> 2;i27(« 1051 991473 42 301295 1093 6f)8705 41 'JO 293399 1050 991448 42 301951 1092 6SJ8049 40 ■Ji 9-2i»4(i29 1048 9-991422 42 9-302607 1090 10-697393 39 -•J 2.t4()58 1046 991397 42 303261 1089 tW6739 38 •-3 2 t52>^l> 1045 991372 43 303914 1087 696086 37 ■-'4 295;/J3 1043 991346 43 304567 1086 695433 36 •2') 2.»tj539 1042 991321 43 305218 1084 694782 35 •Jtl 2y71!;4 1040 9912;)5 43 305869 1083 6'M131 . 34 ■J7 2977S8 1039 991270 43 306519 1081 693481 33r ■JS 2ilS4l2 1037 991244 43 3071t)8 1080 692832. .13 -2:1 2ityo;j4 1036 991218 43 307815 1078 692185 31 ;{;. 2iW'o55 1034 y':)1193 43 308463 1077 691537 3U :n 9-3»027() 1032 9-;i91167 43 9-309109 1075 10090891 29 :<-j 300895 1031 991141 43 309754 1074 69024G :!M 301514 1029 991115 43 310398 1173 689602 ;- -.'A 302 J. •)2 1028 991090 43 311042 l(t71 688958 26 :!.-) 302748 1026 9910(54 43 311685 1070 G88315 25 :!i) 3033(14 1025 991038 43 312327 10(i8 687673 24 303979 1023 991012 43 312967 1007 687033 23 :w 304593 1022 99a9!-^6 43 313608 1065 686392 o.> :;;» 305207 1020 990960 43 314-247 1064 685753 21 40 305819 1019 990934 44 314885 1062 685115 20 41 9-30(vl3() 1017 9-990908 44 9-315523 1061 10-684477 19 307041- 1016 990882 44 316159 lOGO 683841 18 • 4!} 3)7050 1014 990855 44 316795 1058 683205 17 ' 44 308259 1013 990829 44 317430 1057 683570 16 4.') 30>-^-07 1011 990803 44 318064 1055 68193G 15 4ti 309474 1010 990777 44 318697 1054 G81303 14 47 310080 1008 990750 44 319329 1053 680671 13 4S 310085 1007 990724 44 319961 1051 680039 12 4.) 3112S9 1005 990697 44 320592 1050 679408 11 5U 31 1893 1004 990671 44 321222 1048 678778 10 51 9-312495 1003 9-990644 44 9-321851 1047 10-678149 9 5J 313097 1001 990618 44 322479 1045 077.521 8 03 313098 1000 990591 44 323106 1044 G7G894 7 54 314297 998 990565 44 323733 1043 676267 (i 55 314H<.I7 997 990538 44 324358 1041 G75642 ,■) 56 315495 996 990511 45 3-24983 1040 67.5017 4 57 316092 994 990485 45 325607 1039 674393 3 58 316689 993 9904.58 45 326231 1037 673769 2 ' 59 317284 991 990431 45 326853 1036 673147 1 GO 317879 990 990404 45 327475 1035 £72525 ^Cosiiie^^ Sine 1 Cotan^. Tang. M. -W^..-v.^-v^ 73 T )e 3G 338742 941 989413 47 349329 988 650671 24 37 339306 940 989384 47 349922 987 650078 23 V 38 3^871 939 989356 47 350514 986 649486 22^ 39 340434 937 989328 47 351106 985 648894 21 40 340996 936 989300 47 351697 983 648303 20 4J 9-341558 935 9-98927*1 47 9-352287 982 10-647713 19^ 42 342119 934 989243 47 352876 981 647124 . 18 ' 43 342C79 932 989214 47 353465 980 646535 17 , 44 343239 931 989186 47 354053 979 645947 16 45 343797 930 989157 47 354640 977 6453(50 15 4« 344355 929 989128 48 355227 976 (>44773 14 47 344912 927 989100 48 355813 975 644187 13 48 345469 926 989071 48 356398 974 643602 12 49 346024 925 989042 48 356982 973 643018 n 50 346579 924 989014 48 357566 971 642434 10 ' 51 9-347134 922 9-988085 • 48 9-358149 970 10-641851 9 52 347687 921 988!)56 48 358731 969 041269 8 53 348240 920 988927 48 350313 968 640(587 7 54 348792 919 48 359893 mi 640107 6 55 349343 917 988869 48 360474 966 6395-26 •'> , 56 349893 916 988840 48 361053 965 638947 4 . 57 350443 915 988811 49 361632 963 638368 3 58 359992 914 988782 49 362210 962 637790 2 / 59 351540 913 988753 49 362787 961 637213 1 ; 60 352083 911 988724 49 363364 960 636636 ^l 77 Degrees. SINE s AND TANGENTS. (13 De-rees ) 39 Pm: 1 Sine T'^dT'" 1 Cosine P. i Ta..g- i D- 1 Cotaiig. ' i 1 9-a52088 911 9-9887iM i 49 9-36X164 1 960 [ 10-636tj36 56 ' I- 1 1 352635 910 988695 1 49 363940 959 \ 636060 ' 2 1 353181 909 988666 49 364515 958 1 635485 ) 3 1 3v53726 908 988636 49 365090 957 1 634910 ^ 4 1 354271 907 9886U7 49 36.5664 955 i 6:M336 ; 5 1 354815 905 988578 49 366237 9.54 63;J763 55 ; ' 6 355358 904 988548 49 366,-10 953 6331ii0 54-, 53 ) ^ 355901 903 988519 49 3673H2 952 63-26] 8 ^ 8 356443 902 988189 ! 49 3671V53 951 632(M7 52 ) 51 9 356984 901 988460 49 368524 9.50 631476 Mo 357524 899 98S130 49 369094 949 630906 50 {ll 9-358064 898 9-988401 49 9-3G9663 948 10-630337 49 ', 12 358603 897 988371 49 370232 946 629768 48 ) ; 13 .359141 896 98a342 49 370799 945 629201 47 '} 14 359678 895 988312 50 371367 944 028633 46) 1-5- 360215 893 988282 50 371933 943 628067 45) .16 360752 892 9882.52 50 372499 942 627501 44 ^ 17 361287 891 988223 50 373064 941 626936 43 ) ^18 361822 890 988193 50 373629 940 G26371 42 ) 19 362356 889 988163 50 374iy3 939 62.5807 41 ) (20 362889 888 988133 50 374756 938 625244 40 ) ) 21 9-36:M22 887 9-988103 50 9-375319 937 10-624681 39 ( i 2-2 363954 885 988073 50 375881 935 624119 38 ( ; 23 36-1485 884 988043 50 376442 934 f>^3558 37 ( . 24 365016 883 988013 50 377003 933 €22997 .36 ( > 2.1 3(i554f» 882 987983 50 377563 932 622437 35 ( 26 366075 881 987953 50 378122 931 621878 34 ( 27 366604 880 987922 50 378681 930 621319 .33 ( .32 ( 28 367131 879 987892 50 379239 929 620761 2y 367659 877 987862 50 379797 928 620203 •31 I 30 368185 876 987832 51 380354 927 619646 zh) 31 9-368711 875 9-987801 51 9-380910 926 10-619090 29 '. 32 369236 874 987771 51 381466 925 618534 28 { 33 3()9761 873 987740 51 382020 924 617980 27 ( 34 370285 872 987710 51 382575 923 617425 26 ( 35 370808 871 987679 51 383129 922 616871 2.5 ( 36 371330 870 987W9 51 383682 921 616318 24 ( 37 371852 869 987618 51 384234 930 615766 23 ( 38 372373 867 987588 51 3&t7i56 919 615-214 22 ( 39 372894 806 987557 51 3^5.337 ,918 614663 2l^ 40 373414 865 987526 51 385888 i9i7 614U2 20 ( 41 9-3/3933 864 9-987496 51 9-386438 915 • 10-613.562 19 i 42 374452 863 987465 51 386987 914 613013 18 43 374970 862 9874.34 51 387536 913 612464 n 44 375487 861 987403 52 388084 912 611916 16 15 45 376003 860 987372 52 388631 911 611369 46 376519 859 987.341 52 389178 910 610822 14 ; 47 377035 858 987310 52 389724 909 610276 13 S 48 377549 857 987279 52 390270 908 609730 12 49 378063 856 987248 52 390815 907 609185 11 I 50 378577 8.M 987217 52 391360 906 608640 10 ; 51 9-379089 853 9-987186 52 9-391903 905 10-608097 ^1 52 379601 852 987155 52 3f^447 904 607553 53 380113 851 987124 52 392989 903 607011 54 380624 850 987092 52 393531 902 606469 6/ 55 381134 849 987061 52 394073 901 605927 5 / 56 381643 848 987030 52 394614 900 605386 4 / 57 382152 847 986998 52 . 395154 899 604846 3 58 382661 846 986967 52 • 395694 898 604306 2 / 1 / ( 59 383168 845 - 986936 52 396233 897 603767 60 383675 844 986904 52 396771 896 603229 -^J- Cos^ie 1 -.^--.^^ _^^_^Sine^^ 1 ^^^Cown?, .^^-^-i ,^^Tang. 1 .^•J 7 5 Degree S. 40 (14 Degrees.) a TABLE OF LOGARITHMIC M. Sine D. Cosine ! D. 1 Tang. 1 D- Colang-. \0 9-383675 844 9-986904 52 9-396771 890 10-603229 60 1 384182 843 986873 53 397309 896 602091 59 2 384687 842 986841 53 397846 895 ()02154 58 3 385192 841 986809 53 398383 894 601617 57 4 385697 840 986778 53 398919 893 601081 56 5 386201 839 986746 53 399455 892 600545 55 6 386704 838 986714 53 399990 891 600010 54 7 387207 837 986683 53 400524 890 599476 53 8 387709 836 986651 53 401058 889 598942 52 9 388210 835 986619 53 401591 888 598409 51 10 388711 834 986587 53 402124 887 597876 30 11 9-389211 833 9-986555 53 9-402()56 886 10-597344 49 12 389711 832 986523 53 403187 885 5'.h;813 48 13 390210 831 986491 53 403718 884 596282 47 14 390708 830 986459 53 404249 883 595751 46 15 391206 8'i8 986427 53 404778 882 595222 45 16 391703 827 986395 53 405308 881 594692 44 17 392199 826 986363 54 405836 880 594164 43 18 392695 825 986331 54 4003(54 879 593636 42 19 393191 824 986299 54 40(3892 878 593108 41 20 393685 823 986206 54 407419 877 592581 40 21 9-394179 822 9-986234 54 9-407945 876 10-592055 39 22 394673 821 986202 54 408471 875 591529 38 23 395166 820 986169 54 408997 874 591003 37 24 395658 819 986137 54 409521 874 590479 36 25 396150 818 986104 54 410045 873 589955 35 26 396641 817 986072 54 410569 872 589-131 34 27 397132 817 986039 54 411092 871 588908 33 28 397621 816 986007 54 411615 870 588385 32 29 398111 815 985974 54 412137 869 587863 31 30 398600 814 985942 54 412658 868 587342 30 31 9-399088 813 9-985909 55 9-413179 867 10-586821 29 32 399575 812 985876 55 413699 866 586301 28 33 400062 811 985843 55 414219 865 585781 27 34 400549 810 985811 55 414738 864 585262 26 35 401035 809 985778 55 415257 864 584743 25 36 401520 808 985745 55 415775 863 584225 24 37 402005 807 985712 55 416293 862 583707 23 38 402489 806 985679 55 416810 861 583190 22 39 402972 805 98564() 55 417326 860 582674 21 40 403455 804 985613 55 417842 859 582158 20 41 9-403938 803 9-985580 55 9-418358 858 10-581642 19 ^42 404420 802 985547 55 418873 857 581127 IS 43 404901 801 985514 55 419387 856 580613 17 44 405382 800 985480 55 419901 855 580099 16 45 405862 799 985447 55 420415 855 579585 15 46 406341 798 985414 56 420927 854 579073 14 47 406820 797 985380 56 421440 853 578560 13 48 407299 796 985:^47 56 421952 852 578048 12 49 407777 795 985314 56 422463 851 577537 11 50 408254 794 985280 56 422974 850 577026 10 51, 9-408731 794 9-985247 56 9-423484 849 10-576516 9 52 409207 793 985213 56 423993 848 576007 8 53 409682 792 985180 5(5 424503 848 575497 7 54 410157 791 985146 56 425011 847 574989 6 55 410632 790 985113 56 425519 846 574481 5 56 411106 789 985079 56 426027 845 573973 4 57 411579 788 985045 56 426534 844 573466 3 58 412052 787 98501t 56 427041 843 572959 2 59 412524 786 984978 56 427547 843 572453 1 60 412996 785 984944 56' 428052 842 571948 I Cosine Sine 1 I Cotaiigf. 75 Decrees. I Tang. I INES AND TANGENTS. (15 De jrees.) 41 I Tans. y-412996 785 9-984944 57 9-428052 842 10-571948 60 1 413467 784 984910 57 428557 841 571443 59 2 413938 783 984876 57 429062 840 570938 58 3 414408 783 984842 57 429566 839 570434 57 4 414878 782 984808 57 430070 838 569930 50 5 415347 781 984774 57 430573 838 569427 55 6 415815 780 984740 57 431075 837 508925 54 7 416283 779 984706 57 431577 836 568423 53 8 416751 778 984672 57 432079 835 567921 52 9 417217 777 984637 ■ 57 432580 834 567420 51 10 417684 776 984603 57 433080 833 566920 50 n 9-418150 775 9-984509 57 9-433580 832 10-566420 49 12 418615 774 984535 57 434080 832 565920 48 13 419079 773 984500 57 434579 831 565421 47 14 419544 773 984466 57 435078 830 564922 46 15 420007 772 984432 58 435576 829 564424 45 16 420470 771 984397 58 436073 828 563927 44 17 420933 770 984363 58 430570 828 563430 43 18 421395 769 984328 58 437067 827 562933 42 19 421857 768 984294 58 437563 826 562437 41 20 422318 767 984259 58 438059 825 561941 40 21 9-422778 707 9-984224 58 9-438554 824 10-561446 39 22 423238 706 984190 58 439048 823 560952 38 23 423697 765 984155 58 439543 823 560457 37 24 424156 764 984120 58 440036 822 559964 36 25 424015 763 984085 58 440529 821 559471 35 26 425073 762 984050 58 441022 820 558978 34 27 425530 761 984015 58 441514 819 558486 33 28 425987 760 983981 58 442006 819 557994 32 29 426443 760 983946 58 442497 818 557503 31 30 426899 759 983911 58 442988 817 557012 30 31 9-427354 758 9-983875 58 9-443479 816 10-556521 29 32 427809 757 983840 59 443968 816 556032 28 33 428263 756 983805 59 444458 815 555542 27 34 428717 755 983770 59 444947 814 555053 «6 35 429170 754 983735 59 445435 813 554565 25 36 429623 753 983700 59 445923 812 554077 24 37 430075 752 983664 59 446411 812 553589 23 38 430527 752 983629 59 446898 811 5.53102 22 39 430978 751 983594 59 447384 810 552616 21 40 431429 750 983558 59 447870 809 552130 20 41 9-431879 749 9-983523 59 9-4-18356 809 10.551644 19 42 432329 749 983487 59 448841 808 .5511.'59 18 43 432778 748 983452 59 449326 807 550674 17 44 433226 747 983416 59 449810 806 5.50190 16 45 433675 746 983381 59 450294 800 549706 15 46 434122 745 983345 59 450777 805 .549223 14 47 434569 744 983309 59 451260 804 548740 13 48 435016 744 983273 60 451743 803 548257 12 49 435462 743 983238 60 45222.5 802 547775 11 50 435908 742 983202 60 452706 802 547294 10 51 9-436353 741 9-983166 60 9-453187 801 10-.546813 9 52 436798 740 983130 60 453668 800 546332 8 53 437242 740 983094 60 454148 799 545852 7 54 437686 739 983058 60 4.54628 799 545372 6 55 438129 738 983022 60 455107 798 544893 5 56 438572 737 982986 60 455586 797 544414 4 57 439014 736 982950 60 456064 796 543936 3 58 439450 736 982914 60 456542 796 5434.58 2 59 439897 735 982878 60 457019 795 542981 1 (iO 440338 734 982842 60 457496 794 542504 I Cosii I Cotaiig:. I 74 Degrees. 4* 42 (16 Degrees.) a table OF LOGARITMIC M. 9-440338 D. 734 Cosine D. Tan^. D. Co.,an»-. 9- 982842" 60 9-457496 794 10-542504 1 60 1 440778 733 982805 60 457973 793 542027 59 2 441218 732 982769 61 4.58449 793 541551 58 3 441658 731 982733 61 458925 792 541075 57 4 442096 731 982696 61 459400 791 540600 56 5 442535 730 982660 61 459875 790 540125 55 G 442973 729 982624 61 460349 790 539651 54 443410 728 982587 61 460823 789 539177 53 8 443847 7-27 982551 61 461297 788 538703 52 9 444284 727 982514 61 461770 788 538230 51 I'J 444720 726 982477 61 462242 787 537758 50 11 9-445155 725 9-982441 61 9-462714 786 10-537286 49 12 445590 724 982404 61 463186 . 785 536814 48 13 446025 723 982367 61 463658 785 536342 47 14 446459 723 982331 61 464129 784 535871 46 15 4468U3 722 982294 61 464599 783 53.5401 45 1(5 4473-26 721 9822.57 61 465069 783 534931 44 17 447759 720 9822-20 62 4655:}9 782- 534461 43 18 448191 720 982ia3 62 4()6008 781 5.33992 42 li) 448623 719 982144) 62 4(>0476 78Q 533524 41 20 449054 718 982109 62 466945 780 533055 40 21 9-449485 717 9-982072 62 9-467413 779 10-532587 39 22 449915 716 982035 62 467880 778 .532120 38 23 450345 716 981998 62 468347 778 531653 37 24- 450775 715 981961 62 468814 777 531186 ^ 36 25 451204 714 981924 62 469280 776 .530720 35 20 451632 713 98188G 62 469746 775 530254 34 27 452060 713. 981849 62 470211 775 529789 33 28 452488 712 981812 62 470676 774 529324 32 2!) 452915 711 981774 62 471141 773 528859 31 30 453342 710 981737 62 471605 773 528395 30 31 9-453768 710 9-981699 63 9-4720G8 772 10-.527932 29 32 454194 709 9816«)2 63 472532 771 527468 28 33 454619 708 981625 63 472995 771 527005 27 34 455044 707 981587 63 473457 770 526543 26 35 455469 707 981549 63 473919 769 .526081 25 36 455893 706 981512 63 474381 769 525619 24 37 456316 705 981474 63 474842 76S 5251.58 23 38 456739 704 981436 63 475303 767 524697 22 39 457162 704 981399 63 4757(33 767 524237 21 40 457584 703 981361 63 476223 766 523777 20 41 9-458006 702 9-981333 63 9-476683 765 10-.523317 19 42 458427 701 981285 63 477142 7(;5 5228.58 18 43 458848 701 981247 63 477601 764 522399 17 44 459268 700 981209 63 478059 763 .521941 16 45 459688 699 981171 63 478517 7ti3 521483 15 46 460108 698 981133 64 478975 7(i2 521025 14 47 460527 698 981095 64 479432 7(51 .520568 13 48 460946 697 9810.57 64 479889 7G1 .520111 12 49 461364 696 981019 64 480345 760 519655 11 50 461782 695 980981 64 480801 759 519199 10 51 9-462199 695 9-980942 64 9-481257 759 10-518743 9 52 462616 694 980904 64 481712 758 518288 8 53 463032 693 980866 64 482167 757 517833 7 54 403448 693 980827 64 482621 7.57 517379 6 55 463864 692 980789 64 483075 7.56 516925 5 56 464279 691 980750 64 483.529 7.55 516471 4 57 464694 '690 980712 64 483982 7.55 516018 3 58 465108 690 980673 64 4844;i5 754 515.5<)5 2 59 465522 689 980()35 64 484887 7.53 515113 1 60 465935 688 980.596 64 485339 753 514661 I Co,an.5. Tang. I M. 73 Degi-ees. i 5 INKS AND TANGENTS. (17 Degrees., 43 mT Sine 1 "'X^ Cosine D. Tan?. 1 D. 1 Comn?. 1 i ^465935~ 688 9-986596 64 9-485339 755 10-514661 "60 1 ! 46G348 688 980558 64 485791 752 514209 .59 ^ 1 4C6761 687 980519 65 486242 751 513758 58 ' 3 467173 686 980480 65 486693 751 513307 57 ( 4 4(w585 685 980442 65 487143 750 512857 .56 • 5 ^ 467996 685 980403 65 487593 749 512407 55 ) 6 468407 684 9803(i4 65 488043 749 511957 54 ' 7 468817 683 980325 65 488492 748 5115i:8 53 8 469227 683 980286 65 488941 747 511059 ^v2 9 4(i9637 682 980247 65 489390 747 510610 ;ii / 1(1 1 470046 681 980208 65 489838 746 510162 50 , 11 J 9-470455 680 9-980169 65 9-490286 746 10-509714 49 ' 1-2 470863 680 980130 65 490733 745 509267 48 Ki 471271 679 980091 65 491180 744 508820 47 1-t 471(]79 678 980052 65 491627 744 508373 46 1.") 4721 ,P(i 678 980012 65 492073 743 507927 45 ( JG 4724!I2 ()77 979973 65 492519 743 507481 44 I 17 472HW 676 979934 66 492965 742 507035 43 ( lf< ' 473304 676 979895 66 493410 741 506590 42 / I'J 473710 675 979855 66 493854 740 506146 41 , 2 J 474115 674 979816 66 494299 740 505701 40 / 21 9-474519 67-4 9-979776 66 9-494743 740 10-505257 39 / •2'2 474923 673 979737 66 495186 739 504814 38 ( ~23 475327 672 979697 66 495630 738 504370 37 / 24 475730 672 979658 66 496073 737 503927 3() ■^5 476133 671 979618 66 490515 737 503485 35 2t) 47(.536 670 979579 66 496957 736 503043 34 , 27 47(;!(38 669 979539 66 497399 736 502601 33 , 2.-' 477340 669 979499 66 497841 735 502159 32 2y 477741 668 979459 66 498282 734 501718 31 :ii) 478142 667 979420 66 498722 734 501278 30 31 9-478542 667 9-979380 66 9-499163 733 10-500837 29^ b2 478942 666 979340 66 499603 733 500397 28 ( :i3 479:'42 665 979300 67 500042 732 499958 27 ( :j4 479741 6(?5 979260 67 500481 731 499519 26 1 :i5 480140 664 979220 67 500920 731 499680 25 ;iG 480539 (■63 979180 67 601359 730 498(:'41 24 ■M '^8i;937 6(53 979140 67 501797 730 498203 23 US 48i::34 662 979100 67 502235 729 497765 22 ■M 481731 661 979059 67 502(w2 728 497328 21 40 482128 661 979019 67 503109 728 496891 20 41 9-482525 660 9-978979 67 9-503.546 727 10-496454 19 42 482921 (59 978939 67 503982 727 496(il8 18 4:j 483316 659 978898 67 504418 726 495582 17 44 483712 658 978858 67 504854 725 495146 16 45 4e41(.7 657 978817 67 565289 725 494711 15 4(3 484501 657 978777 67 505724 724 494276 14 47 484895 656 978736 67 506139 724 493841 13 48 485289 655 978696 68 506593 723 493467 12 41) 485f82 ; 6)55 ; 978655 68 507027 722 492973 11 50 486075 i 654 ! 978615 68 507460 722 492540 10 51 9-486467 1 653 \ 9-978574 68 9-507893 721 10-4921(J7 9 52 1 486860 653 i 978533 f8 508326 721 491674 « 53 487251 652 i 978493 68 1 508759 720 ! 491241 54 487()43 • 651 1 978452 68 509191 719 1 4'9080a 6 55 488034 651 1 978411 68 509622 719 1 4^0378 5 56 488424 650 1 978370 68 ! 510054 718 489946 4 57 488814 650 ! 978329 68 1 510485 718 i 489515 3 58 489204 649 ! 978288 68 510916 717 489084 2 59 489593 (48 1 978247 68 1 511346 716 488654 1 60 489982 648 ' 978216 68 511776 ' 716 488224 ■ 1 Cosine L^.-.^^ 1 Sine L-.^^ 4__Cotang^ 1 J_^Ta^-_^ rw^ 7i I Degrf ;es. 44 (IS Degrees.) a table OF LOGARITHMIC M. 1 Sine 1 D. 1 Cosine 1 D. 1 Tang-. 1 D. 1 Cotang. 9-489982 648 9-978206 68 9-511776 716 10-488224 60 1 490371 648 978165 68 512206 716 487794 59 2 490759 047 978124 68 512635 715 487365 58 3 491147 646 978083 69 513064 714 486936 57 4 491535 646 978042 69 513493 714 486507 56 5 491922 645 978001 69 513921 713 486079 55 6 492308 644 977959 69 514349 713 485651 54 7 492695 644 977918 69 514777 712 485223 53 8 493081 643 977877 69 515204 712 484796 52- 9 493466 642 977835 69 515631 711 484369 51 10 493851 642 977794 69 516057 710 483943 50 It 9-494236 641 9-977752 69 9-516484 710 10-483516 49 13 494621 641 977711 69 516910 709 483090 48 13 495005 640 977669 69 517335 709 482665 47 14 495388 039 977628 69 517761 708 482239 46 15 495772 639 977586 69 518185 708 481815 45 16 496154 638 977544 70 518610 707 481390 44 17 496537 637 977503 70 519034 706 480906 43 18 496919 637 977461 70 519458 706 480.)42 42 19 497301 636 977419 70 519882 705 4S0118 41 20 497682 636 97V37V 70 520305 705 479695 40 21 9-498064 635 9-977335 70 9-520728 704 10-479272 39 22 498444 634 977293 70 521151 703 478849 38 23 498825 634 977251 70 .521573 703 478427 37 24 499204 633 977209 70 521995 703 478005 36 25 499584 632 977167 70 522417 702 477583 35 26 499963 032 977125 70 5228.38 702 477162 34 27 500342 631 977083 70 523259 701 476741 33 28 500721 631 977041 70 523680 701 476320 32 29 501099 630 976999 70 524100 700 475900 31 30 501476 629 976957 70 524520 699 475480 30 31 9-5018.54 629 9-976914 70 9-524939 699 10-475061 29 32 502231 628 976872 71 525359 098 474641 28 33 502607 628 976830 71 525778 698 474222 27 34 502984 627 976787 71 526197 697 473803 26 35 503360 626 976745 71 52t>6l5 697 473385 25 36 503735 626 976702 71 527033 696 472967 24 37 504110 625 976660 71 527451 696 472549 23 38 504485 625 976617 71 527868 695 472132 OS) 39 .504860 624 976574 71 528285 695 471715 21 40 505234 623 97(5532 71 528702 694 471298 20 41 9-505608 623 9-976489 71 9-529119 693 10-470881 19 42 505981 622 976446 71 529535 693 470465 18 43 506354 622 976404 71 529950 693 470050 17 44 506727 621 976361 71 530366 692 469634 16 45 507099 620 976318 71 530781 691 469219 15 46 507471 620 976275 71 531196 091 468804 14 47- 507843 619 976232 72 531611 690 468389 13 48 508214 619 976189 72 532025 690 467975 12 49 508585 618 976146 72 532439 689 467561 11 50 508956 618 976103 72 532853 689 467147 10 51 9-509326 617 9-976060 72 9-533266 68S 10-466734 9 52 509696 616 976017 72 533679 688 466321 8 53 510065 616 975974 72 534092 687 465908 7 54 310434 615 975930 72 534504 687 465496 6 55 510803 615 975887 72 534916 686 465084 5 56 511172 614 975844 975800 72 535328 686 464672 4 57 511540 613 72 535739 685 464261 3 58 511907 613 975757 72 536150 685 463850 2 59 512275 612 975714 72 536561 684 463439 1 60 512642 612 975670 72 536972 684 463028 Cosine | I Cotang-. I I Tang. I M. 71 Degrees. SINES AND TANGENTS. (10 Degrees. ) 45 M. 1 S^me^^ D. 1 """^ii^^ i" ■ D. 1 Tan^. 1 D. Cotans:. 1 ~. U-512642 612 9-975670 73 9-536972 684 10-463028 59 1 513009 611 975627 73 537382 683 462618 2 513375 611 975583 73 537792 683 462208 58/ 3 513741 610 975539 73 538-202 682 461798 57 ( 4 514107 609 975496 73 538611 682 461389 56 5 514472 609 975452 73 539020 681 460980 55 / 6 514837 608 975408 73 539429 681 460571 54 / 7 51524H 608 975365 73 539837 680 460163 53/ 8 515506 607 975321 73 540245 680 459755 52 ( 9 515930 607 975277 73 540653 679 459347 51 10 516294 606 975233 73 541061 679 458939 50 11 9-516657 605 9-975189 73 9-541468 678 10-458532 49 12 517020 605 975145 73 541875 678 458125 48 13 517382 604 975101 73 542281 677 457719 47 14 517745 604 975057 73 542688 677 457312 46 15 518107 603 975013 73 543094 676 456906 45 ( 16 518468 603 974969 74 543499 676 456501 44 ( 17 518829 602 974925 74 543905 075 456095 43 ( 18 519190 601 974880 74 544310 675 455690 42 19 519551 601 974836 74 544715 674 455285 41 20 519911 600 974792 74 545119 674 454881 40 21 9-52J271 600 9-974748 74 9-545524 673 10-454476 ' 39 22 520631 599 974703 74 54592S 673 454072 38 ) 23 520990 599 974659 74 546331 672 • 453669 37 ) 24 521349 598 974614 74 546735 672 453265 36 ) 25 521707 598 974570 74 547138 071 452862 35 ) 2(3 522066 597 974525 74 547540 671 452460 34 27 522424 596 974481 74 547943 670 452057 33 ) 28 522781 596 974436 74 548345 670 451655 32 29 523138 595 974391 74 548747 069 451253 31 30 523495 595 974347 73 549149 069 450851 30 { 31 9-523852 594 9-974302 75 9-549550 068 10-450450 29 / 32 524208 594 974257 75 549951 668 45J049 28 ; 33 524564 593 974212 75 550352 667 449648 27 } 34 524920 593 974167 75 550752 667 449^8 26 ; 35 525275 592 974122 75 551152 666 448848 25 36 525630 591 974077 75 551552 666 448448 24 ) 37 525984 591 974032 75 551952 605 448048 2:i ) ;i8 5'>,6339 590 973987 75 552351 665 ■ 447649 22 39 526693 590 973942 75 552750 605 447250 21 40 527046 589 9738^7 75 553149 664 446851 20 41 9-527400 589 9-973852 75 9-553548 664 10-446452 19 42 527753 588 973807 75 553946 663 440054 IS 43 528105 588 973761 75 554344 663 445656 17 44 52S458 587 973716 76 554741 662 445259 16 ) 45 528810 587 973671 76 555139 662 444861 15 ( 46 529161 586 973625 76 555536 661 444464 14 / 47 529513 586 973580 76 555933 661 4440 17 13 / 48 529864 585 973535 76 556329 630 443671 12 ; ^49 530215 585 973489 76 556725 660 443-275 11 ^50 530565 584 973444 76 557121 659 442879 10 ) / 51 9-530915 584 9-973398 76 9-557517 659 10-442483 9 i /52 531265 583 973352 76 557913 659 442187 8 )53 531614 582 973307 76 558308 653 441692 7 / ^54 531963 582 973261 76 558702 653 441298 6 i 55 ~ 532312 581 973215 76 559097 657 440903 5 56 532661 581 973169 76 559491 657 440509 4 57 533009 580 973124 76 5598a5 656 440115 -3 o / 58 533357 580 973078 76 560279 656 439721 ^59 )60 533704 579 973032 77 560073 655 439327 -"1 534052 578 972986 77 561066 655 438934 1 Cosine i__Sine__ 1^^^^ 1 Cotang. ^ Tang^^^^ ^i 7( > Degre es. 4G (20 Degrees.) A TABLE OF LOGARITHxMIC ; M. Sine D. Cosine D.' Tannr. D. Cotaii 3 535092 577 - 972848 77 562244 653 437756 57 / 4 535438 576 972802 .77 562636 653 4373(54 56 ( ^ 5:i5783 576 972755 77 563028 653 436972 55 } « 536129 575 972709 77 563419 652 430581 54 ? " 536474 574 972063 563811 052 436189 53 / 8 536818 574 972617 77 5042U2 051 435798 52 1'" 537103 573 972570 77 564592 051 435408 51 537507 573 972524 77 564983 650 435017 50 11 ( 13 9-537851 572 9-972478 77 9-565373 650 10-434627 49 538194 572 972431 78 565763 049 434237 48 538538 571 972385 78 566153 649 433847 47 14 538880 571 972338 78 566542 049 433458 46 15 539223 570 972291 78 566932 648 433068 ■ 45 16 539565 570 972245 78 567320 648 432080 44 ? n 5399U7 569 972198 78 567709 047 432291 43 i 1*^ 54U249 569 972151 78 568098 647 431902 42 ( 19 540590 5(58 972105 78 508486 640 431514 41 ; 20 540931 568 972058 78 568873 040 431127 40 21 ' 9-541272 567 9-972011 78 9-569261 645 10-430739 39 ( i)0 541613 567 971964 78 509648 645 430352 38 ; 23 24 2o 541953 506 971917 78 570035 045 429965 37 542293 566 971870 78 570422 644 429578 36 5421.32 565 971823 78 570809 644 429191 35 2t) 542971 565 971776 78 571195 643 428805 34 27 543310 564 971729 79 571581 643 428419 33 28 543649 564 971682 79 571967 642 428033 32 2J 543987 563 971635 79 572352 642 427648 31 J30 544325 503 971588 79 572738 042 427262 30 ; 31 9-544603 562 9-971540 79 9-573123 641 10-426877 29 32 545000 562 971493 79 573507 041 42(5493 28 ( 33 545338 561 971446 79 573892 640 426108 27 545074 561 971398 79 574276 640 425724 26 546U11 560 971351 79 574660 639 425340 25 546347 500 971303 79 575044 639 424956 24 iS 546683 559 971256 79 575427 639 424573 23 547019 559 971208 79 575810 638 424190 22 ) 39 547354 558 971161 79 576193 638 423807 21 ', 40 547689 558 971113 79 576576 037 423424 20 ) 41 9-548024 557 9-971066 80 9-576958 037 10-423041 19 )42 ) 43 548359 557 971018 80 577341 030 422(559 18 548693 556 970970 SO 577723 630 422277 17 ) 44 549027 556 970922 80 578104 636 421896 16 45. 549360 555 970874 80 578486 635 421514 15 ; 46 549693 555 970827 80 578867 635 421133 14 I "^^ 55UC26 554 970779 80 579248 634 420752 13 ) 48 550359 554 970731 80 579629 634 420371 12 ; 4y 550692 553 970683 80 580009 634 419991 - 11 50 551024 553 970635 80 580389 633 419611 10 (■,51 9-551356 552 9-970586 80 9-580769 633 10-419231 9 (52 551687 552 970538 80 581149 632 418851 8 (;53 552018 552 970490 80 581528 632 418472 7 (■54 552349 551 970442 80 581907 632 418093 6 .-55 .56 ■57 .58 59 5.52(i80 551 970394 80 582286 631 417714 5 553010 550 970345 81 582065 631 417335 4 553341 550 970297 81 583043 630 416957 3 553670 549 970249 81 583422 630 410578 2 554000 549 970200 81 583800 629 41(5200 1 60 554329 548 970152 81 584177 629 415823 1 Colan^'. 1 I Tan^. I M. 69 Degrees SINES AND TANGENTS. (21 Decrees.) 47 M. Sine 1 D. "'^sii^'T D. Taiisr. 1 D. i Cotanp. 1 1 9-554329 543 9-970152 81 1 9-584177 629 10-415823 "60" 1 i 554658 5-18 970103 81 584555 629 415445 59 2 1 554987 547 900055 81 584932 628 415008 58 3 i 555315 547 970000 81 585309 628 414691 57 4 555643 546 909957 81 585686 627 414314 56 555971 546 969909 81 586062 627 413938 55 5 556299 545 969860 81 586439 627 413501 54 7 556026 545 969811 81 586815 626 413185 53 8 550953 544 969762 81 587190 626 412810 52 9 557280 544 969714 81 587566 625 412434 51 10 557606 543 969065 81 587941 6-25 412059 50 11 9-557932 543 9-909616 82 9-588316 625 10-411084 49 12 558258 543 969567 82 588691 624 411309 48 13 558583 542 969518 82 589066 624 410934 47 14 558909 542 969409 82 589440 623 410500 46 15 559234 541 969420 82 589814 623 410180 45 16 559558 541 909370 82 590188 023 409812 44 17 559883 540 909321 82 590562 622 409438 43 18 560207 540 969272 82 590935 6-22 409005 42 19 500531 539 969223 82 591308 622 408692 41 20 .560855 539 969173 82 591681 621 408319 40 21 9-501178 538 9-969124 82 9-592054 621 10-407946 39 22 561501 538 969075 82 592426 620 407574 38 23 561824 537 969025 82 592798 620 407202 37 24 502140 537 968976 82 593170 619 406829 36 25 502408 536 968926 83 593542 619 406458 35 20 502790 536 908877 83 593914 618 406086 34 or 563112 536 968827 83 594285 618 405715 33 28 563433 535 968777 83 594656 618 4li5344 32 29 563755 535 968728 83 595027 617 404973 31 3U 504075 534 908678 83 595398 617 40-^ Ci 2 30 31 9-504396 534 9-968628 83 0-595768 617 10-404232 29 32 504716 533 908578 83 590138 616 403862 2S 33 565036 533 9(i8528 83 590508 616 403492 27 ) ^^-4 565356 532 968479 83 59(>878 616 403122 26 35 565676 532 908429 83 597247 615 402753 25 30 505995 531 908379 83 597616 615 402r84 24 s 37 506314 531 908329 83 597985 615 4U-2i.l5 23 38 566632 531 968278 83 598354 614 40J046 22 39 566951 530 968228 84 598722 614 401278 21 J- 40 567209 530 968178 84 599091 613 400909 20 ) 41 9-507587 529 9-968128 84 9-59M59 613 10-400541 19 ) 42 567904 529 968078 84 599827 613 400173 18 ) 43 508222 528 9(i8{)27 84 600194 612 399806 17 ) 44 I 508539 528 967977 84 600502 612 399438 16 ) 45 568856 528 907927 84 600929 611 399071 15 ) 40 509] 72 527 967870 84 601296 611 398704 14 47 569488 527 90782fi 84 601062 611 393338 13 48 569804 520 967775 84 602029 610 397971 12 49 570120 520 967725 84 602395 610 397605 11 50 570435 5-25 967674 84 602761 610 397239 10 51 9-570751 525 9-907624 84 9-603127 609 1030f>873 9 ) 52 571066 524 967573 84 603493 609 3:/05 7 8 ) 53 ) 54 571380 524 967522 85 603858 609 3ii6142 7 571695 523 967471 85 604223 608 395-; 77 6 |g 572009 523 967421 85 604588 608 395412 5 572323 523 967370 85 604953 607 395047 4 iS 572636 522 967319 85 605317 607 394683 3 572950 522 907268 85 605682 607 394318 2 ) 59 1 573203 521 907217 85 60(5046 606 393954 1 ) 60 ' 573575 521 967166 85 606410 606 393590 I Cotang-. I 48 (22 Degrees.) a TABLE OF LOGARITHMIC ^. Sine D. Cosine D. 1 Tan?. D. 1 Cotaiior. ~o~ 9-573575 521 9-967166 85 9-606410 606 10 393590 60 1 573888 5-20 967115 85 606773 606 393227 59 o 574200 520 907064 85 607137 605 392863 58 3 574512 519 967013 85 607500 605 392500 57 4 574824 519 966961 85 607863 604 392137 56 5 575136 519 966910 85 608225 604 391775 55 6 575447 518 966859 85 608588 604 391412 54 7 575758 518 966808 85 608950 603 391050 53 8 576069 517 966756 86 609312 603 390688 52 9 576379 517 96S705 86 609674 603 390326 51 10 576689 516 966653 86 610036 602 389964 50 11 9-576999 516 9-966602 86 9-610397 602 10-389603 49 12 577309 516 966550 86 610759 602 389241 48 13 577618 515 966499 86 611120 601 388880 47 14 577927 515 966447 86 611480 601 388520 46 15 578236 514 966395 86 611841 601 388159 45 16 578545 514 966344 86 612201 600 387799 44 17 578853 513 966292 86 612561 600 387439 43 18 579162 513 966240 86 612921 .600 387079 42 19 579470 513 966188 86 613281 599 386719 41 20 579777 512 966136 86 613641 599 386359 40 21 9-580085 512 9 966085 87 9-614000 598 10-386000 39 22 580392 511 966033 87 614359 598 385641 38 23 580699 511 965981 87 614718 598 385282 37 24 581005 511 965928 87 615077 597 384923 36 25 581312 510 965876 87 615435 597 384565 35 26 581618 510 965824 87 615793 597 384207 34 27 5819-24 509 965772 87 616151 596 383849 33 28 582229 509 965720 87 616509 596 38:M91 32 29 58-2535 509 965668 87 616867 596 383133 31 30 582840 508 965615 87 617224 595 382776 30 31 9-583145 508 9-965563 87 9-617582 595 10-382418 29 32 583449 507 9(55511 87 617939 595 382061 28 33 583754 507 965458 87 618295 594 381705 27 34 584058 506 9(55406 87 618652 594 381348 26 35 584361 506 965353 88 619008 594 380992 25 36 584(565 506 965301 88 619364 593 380636 24 37 584968 505 965248 88 619721 593 380279 23 38 585272 505 965195 88 620076 593 379924 22 39 585574 504 965143 88 620432 592 3795(58 21 40 585877 504 965090 88 620787 592 379213 20 41 9-586179 503 9-965037 88 9-621142 592 10-378858 19 42 586482 503 964984 88 621497 591 378503 18 43 586783 503 964931 88 621852 591 378148 17 44 587085 502 964879 88 622207 590 377793 16 45 587386 502 964826 88 622561 590 377439 15 46 587688 501 964773 88 622915 590 377085 14 47 587989 501 964719 88 6232(59 589 376731 13 48 588289 501 9646(56 89 623(523 589 376377 12 49 588590 500 904613 89 623976 589 376024 11 50 588890 500 964560 89 624330 588 375670 10 51 9-589190 499 9-964507 89 9-!'24683 588 10-375317 9 52 589489 499 964454 89 625036 588 374964 8 53 589789 499 964400 89 625388 587 374012 7 54 590088 498 9(i4347 8i) 625741 587 374259 6 55 590387 498 964294 89 626093 587 373907 5 56 590686 497 964240 89 626445 586 373555 4 57 590984 497 964187 89 626797 586 373203 3 58 591282 497 964133 89 627149 586 372851 2 59 591580 496 964080 89 627501 585 372499 1 60 591878 406 964026 89 627852 585 372148 I Cosine 1 Sine Co:an-. ^^^^Tan?^^ 6/ ' Degre es. SINES AND TANGENTS. (23 DejiTCef;. ) 49 M. 1 Sine 1 a 1 "''^Qa^ir"^ D. Tanir. 1 a 1 Coiiuig-. ! 9-591878 496 9-964026 89 9-6-27852 i 585 j I(>372i48 lio 1 592176 495 963972 89 628203 j 585 371797 59 2 592473 495 963919 89 628554 585 371446 58 3 532770 495 963865 90 628905 .584 371095 57 .4 593067 494 963811 90 629255 584 370745 56 5 593363 484 963757 90 62960(; 583 3703S)4 55 6 593659 493 9f>3704 1 90 . 62i)956 583 370044 54 7 593955 493 963(«0 90 ti30308 583 369694 53 8 594251 493 963596 90 630656 583 369:M4 52 9 5JM547 492 963542 90 6310a5 582 368995 51 10 59-4842' 492 983488 90 631355 582 368(545 50 11 9-595137 491 9-963434 90 9-631704 582 l(>3n8296 49 1-2 595432 491 963379 90 63-2053 .581 367947 48 13 595727 491 963:^25 90 63iM01 581 367599 47 14 596021 490 963271 90 632750 581 367250 46 15 5,W315 490 963217 90 633098 580 366902 45 ( 16 5966C19 489 963163 90 633447 580 366553 44 / 17 5965H)3 489 963108 91 €33795 580 366205 43/ 18 597196 489 9ti3054 91 634143 .579 365857 42 < ly 597490 488 962999 91 634490 .579 365510 41 20 597783 488 962945 91 634838 579 365162 40 21 9-598075 487 9-9(>2890 91 9-635185 578 10-364815 39 ' 22 5983C8 487 962836 91 635.5^ 578 364-468 38 23 598660 487 90-2781 91 63.5879 578 364121 37 24 598952 486 962727 91 636226 577 36.3774 36 25 599244 486 962672 91 €36572 577 363428 35 2(5 599536 485 962617 91 636919 577 363081 34 .)- 599827 485 y625«J2 91 637-265 577 362735 33^ 2s 600118 485 962508 91 637611 576 36-2389 32' ■2'J 600409 484 962453 91 637956 576 362044 31 ^ 30 600700 484 962398 92 638302 576 361698 30 31 9-6009f>0 484 9-962343 [12 9-638647. 575 10-361353 29 32 601280 483 962288 92 6389!^2 575 361008 28 33 601570 483 962233 92 639337 575 360663 27 34 601860 482 9(52178 92 639682 574 360318 26^ 35 602150 482 962123 92 640027 574 359973 25 36 602439 482 962067 92 640371 574 359629 •24 37 602728 481 962012 92 640716 573 359284 23 38 603017 481 961957 92 641060 573 358940 22 3y 603305 481 961902 92 641404 573 358596 21 40 603594 480 961846 92 641747 572 358-253 20 41 -9-603882 480 9-961791 92 9-642091 572 10-357909 19 42 604170 479 961735 92 642434 572 a57566 18 43 , 604457 479 961680 92 642777 572 357223 17 44 604745 479 961624 93 643120 .571 356880 16 45 605032 478 961569 93 €43463 571 356.537 15 4t3 605319 478 961513 93 643806 571 356194 14 47 605606 478 961458 93 644148 570 35.5852 13 48 605Hl^2 477 961402 93 644490 .570 35.5510 12 49 606179 477 961346 93 644832 570 3.55168 11 50 60&465 476 9()1290 93 645174 569 .354826 10 51 9-000751 476 9-961235 93 9-645516 569 10-354484 9 52 607036 476 961179 93 64.5857 569 3.54143 8 53 607322 475 961123 93 64G199 .5(9 353801 -7 54 607607 475 961067 . 93 646540 .568 353460 6 55 607892 474 961011 93 646881 568 3.53119 5 56 €08177 474 960i)55 93 647-2-22 .568 352778 4 57 608461 474 960899 93 647562 567 3.52438 3 58 608745 473 960843 94 647903 567 352097 2 59 609029 473 960786 94 648243 567 3517.57 1 60 609313 473 960730 94 648583 1 566 ' 351417 Cosine 1 1 Sine 1 Cotaiig-. ^^^^^ 1 Tang-. Ut, 66 Degre 5 es. 50 (24 Degrees.) a table OP logarithmic M. Sine D. Cosine D. Tanar. D. Cotang-. 9-609313 473 9-960730 94 9-648583 566 10-351417 60 1 609597 472 960674 94 648923 566 351077 .59 2 609880 472 960618 94 649263 566 350737 58 3 610164 472 960561 94 649(502 566 350398 57 4 610447 471 960505 94 649942 565 350058 56 5 610729 471 960448 94 650281 565 349719 55 6 611013 470 960392. 94 650620 565 349380 54 7 6112it4 470 960335 94 650959 564 349041 53 8 611576 470 960279 94 651297 564 348703 52 9 611858 469 960222 94 651636 564 348364 51 10 612140 409 960165 94 651974 563 348026 50 11 9-612421 469 9-960109 95 9-652312 563 10-347688 49 12 612702 468 960052 95 6526.50 563 347350 48 13 612983 468 959995 95 652988 563 347012 47 14 613264 467 959938 95 653326 562 346674 46 15 613545 467 959882 95 653663 562 346337 45 16 613825 467 959825 95 654000 502 346000 44 17 614105 466 9.59708 95 654337 561 345663 43 18 614385 466 9.59711 95 654674 5tU 345326 42 19 614G65 466 959654 95 655011 .561 344989 41 20 614944 465 959596 95 655348 561 344652 40 21 S;-015223 465 9-959539 95 9-655684 560 10-344316 39 22 615502 465 959482 95 656020 560 343980 38 23 615781 464 959425 95 656356 500 343644 37 24 616060 464 959308 95 656692 559 343308 36 25 616338 464 959310 96 657028 559 342972 35 26 616618 463 95;»2.53 96 657364 559 342636 34 27 616894 463 959195 96 657699 559 342301 33 28 617172 462 959138 96 6.58034 5.58 341966 32 29 617450 462 959081 96 653369 5.58 341631 31 30 617727 462 959023 96 658704 558 341296 30 31 9-618004 461 9-958965 96 9-659039 558 10-340961 29 32 618281 461 958908 96 659373 557 340627 28 33 618558 461 958850 96 659708 557 340292 27 34 618834 460 958792 96 660042 557 339958 26 35 619110 460 958734 96 660376 5.57 339624 25 36 619380 460 958677 96 660710 556 339290 24 37 619()G2 459 958619 96 661043 556 338957 23 38 619938 459 958561 96 661377 556 338623 22 39 620213 459 958503 97 661710 555 338290 21 40 620488 458 958445 97 662043 555 337957 20 41 9-620763 458 9-958387 97 9-662376 5.55 10-337624 19 42 621038 457 958329 97 662709 554 337291 18 43 621313 457 958271 97 6630'12 554 336958 17 44 621587 457 958213 97 663375 5.54 336625 W 45 621861 456 958154 97 663707 5.54 336293 15 46 622135 456 958096 97 604039 553 335961 14 47 622409 456 958038 97 664371 553 335629 13 48 622682 455 957979 97 664703 553 335297 12 49 622956 455 957921 97 665035 553 334965 11 50 623229 455 957863 97 665366 552 334634 10 51 9-623502 454 9-957804 97 9-665697 552 10-334303 9 52 623774 454 957746 98 666029 552 333971 8 53 624047 454 957687 98 666360 551 333640 7 54 624319 453 957628 98 666691 551 333309 6 55 624591 453 957570 98 667021 551 332979 5 56 624863 453 957511 98 667352 551 332648 4 57 625135 452 957452 98 667682 550 332318 3 58 625406 452 957393 98 668013 550 331987 2 59 625677 452 957335 98 668343 550 331657 1 60 625948 451 957276 98 668672 550 331328 65 Degrees. AND TANGENTS. (25 Degrees.) 51 M. Sine D. Cosine D. Ta„g. D. Cotang. 9-625948 451 9-957276 98 9-6'i«(-73 550 i 0-331327 60 1 626219 451 957217 98 669002 54J 330998 59 2 62G490 451 957158 98 669332 549 330668 58 3 626700 450 957099 98 669661 549 330339 57 4 627030 450 957040 98 669991 548 331)009 56 5 627300 450 950981 98 670320 548 329680 55 6 627570 449 956921 99 670649 548 329351 54 7 627840 449 956862 99 670977 548 329023 53 8 628109 449 956803 99 671306 547 328694 52 9 628378 448 956744 99 671634 547 328366 51 10 62S647 448 956684 99 671963 547 328037 50 11 9-628916 447 9-956625 99 9-672291 547 10-327709 49 12 629185 447 956566 99- 672619 546 327381 48 13 629453 447 956506 99 672947 546 327053 47 14 629721 446 956447 99 673274 546 326726 46 15 629989 446 956387 99 673602 546 326398 45 16 630257 446 950327 99 673929 545 326071 44 17 630524 446 956268 99 674257 545 325743 43 18 630792 445 956208 100 674584 545 325416 42 19 631059 445 956148 100 674910 544 325090 41 20 631326 445 956089 100 675237 544 324763 40 21 9-631593 444 9-956029 100 9-675564 544 10324436 39 22 631859 444 955969 100 675890 544 324110 38 23 632125 444 955909 100 676216 543 323784 37 24 632392 443 955849 100 676543 543 323457 36 25 632658 443 955789 100 676869 543 323131 35 26 632923 443 955729 100 677194 543 322806 34 27 633189 442 955669 100 677520 542 322480 33 28 633454 442 955609 100 677846 542 322154 32 29 633719 442 955548 100 678171 542 321829 31 30 633984 441 955488 100 678496 542 321504 30 31 9-634249 441 9-955428 101 9-678821 541 10-321179 29 32 634514 440 955368 101 679146 541 320854 28 33 634778 440 955307 101 679471 541, 320529 27 34 635042 440 955247 101 679795 541 320205 26 35 635306 439 955186 101 680120 540 319880 25 36 635570 439 955126 101 680444 540 319556 24 37 635834 439 955065 101 680768 540 319232 23 38 636097 438 955005 101 681092 540 318908 22 39 636360 438 954944 101 681416 539 318584 21 40 636623 438 954883 101 681740 539 318260 20 41 9-636886 437 9-954823 101 9-682063 539 10-317937 19 42 637148 437 954762 101 682337 539 317613 18 43 637411 437 954701 101 682710 538 317290 17 44 637673 437 954640 101 683033 538 316967 16 45 637935 436 954579 101 683356 538 316644 15 46 638197 436 954518 102 GS3679 538 316321 14 47 638458 436 954457 102 684001 537 315999 13 48 638720 435 954396 102 684324 537 315676 12 49 638981 435 954335 102 684646 537 315354 11 50 639242 435 954274 102 684968 537 315032 10 51 9-639503 434 9-954213 102 9-685290 536 10-314710 9 52 639764 434 954152 102 6^5612 536 314388 8 53 640024 434 954090 102 685934 536 314066 7 54 640284 433 954029 102 686255 536 313745 6 55 040544 433 953908 102 686577 535 313423 5 56 640804 433 953906 102 686898 535 313102 4 57 641064 432 953845 102 687219 535 312781 3 58 641324 432 953783 102 687540 535 312460 2 59 641584 432 953722 103 687861 534 312139 1 60 641842 431 953660 103 688182 534 311818 I Cosine | 64 Degree I Cotang. I I Tang. I M. (26 Degrees.) a TABLE OF LOGARITMIC M. Sine 1). Cosine D. Tang-. D. Cotans-. 9-C41842 431 9-9536tO 103 9-688182 534 10-311818 60 1 ()421C1 431 953599 103 688502 534 311498 59 2 642360 421 953537 103 688823 534 311177 58 3 642618 430 953475 103 689143 533 310857 57 4 642877 430 953413 103 6894(;3 533 310537 5() 5 64:il35 430 953352 103 689783 533 310217 55 () 643393 430 953290 103 690103 533 309897 54 7 643650 429 953228 103 690423 533 309577 53 8 6431)68 429 953166 103 690742 532 309258 52 y 6441(15 429 953104 103 691062 532 308938 51 10 644423 428 953042 103 691381 532 308619 50 11 9-(:44(i80 428 9-952980 104 9-691700 531 10-3083(0 49 12 6^41)36 428 952918 104 692019 531 307981 48 13 645193 427 952855 104 692338 531 307062 47 14 645-S50 427 952793 104 692656 531 307344 46 15 645'; 06 427 952731 104 692975 531 307025 45 1« < 45962 426 9528(;9 104 693293 530 306707 44 17 641:218 426 952606 104 693612 530 300388 43 18 C4G474 426 952544 104 693930 530 306070 42 Id 646729 425 952481 104 694248 530 305752 41 20 646984 425 952419 104 694566 529 305434 40 21 9-647240 425 9-952356 104 9-694883 529 10-305117 39 22 647494 424 952294 104 695201 529 304799 38 23 647749 424 952231 104 695518 529 304482 37 24 648004 424 952168 105 695836 529 304104 36 25 643258 424 952106 105 696153 528 303847 35 26 64i^512 423 952043 105 696470 528 303530 34 27 648766 423 951980 105 696787 528 303213 33 28 649620 423 951917 105 697103 528 3{i28y7 32 2H 649274 422 951854 105 097420 527 302580 31 m 649527 422 951791 105 697736 527 302264 30 ^•ii 9-649781 422 9-951728 105 9-698053 527 10-301947 29 ) 32 650034 422 951665 105 6983(>9 527 301631 28 ) 33 650287 421 951602 105 698685 526 301315 27 ) 34 650539 421 951539 105 699001 526 300999 26 ; 35 650792 421 951476 105 699316 526 300084 25 ;3c 651044 420 951412 105 699632 526 300368 24 )37 651997 420 951349 106 699947 526 300053 23 ;38 651549 420 951286 106 700263 525 299737 22 bt) 651800 419 951222 100 700578 525 299422 21 4U 652052 419 951159 106 700893 525 299107 20 41 9-652304 419 9951096 106 9-701208 524 10-298792 19 42 652555 418 951032 106 701523 524 298477 18 43 652806 418 950968 106 701837 524 298163 17 ) 44 653057 418 950905 106 702152 524 297848 16 ) 45 653308 418 950841 106 702406 524 2975:;4 15 )4G 653558 417 950778 106 702780 523 29-220 14 ) -l" 653808 417 950714 106 703095 523 296905 13 48 654059 417 950650 106 703409 523 296591 12 ) 41) 654309 416 950586 106 703723 523 296277 11 J 5U 654558 416 950522 107 704036 522 295904 10 / 51 654808 416 9-950458 107 9-704350 522 10-295650 9 ;52 655058 416 950394 107 704663 522 295337 8 ) 5:{ 655307 415 950330 107 704977 522 295023 7 ) 54 655556 415 950266 107 705290 522 294710 6 ) 55 655805 415 950202 107 705603 521 294397 5 56 656054 414 950138 107 705916 521 294084 4 57 65()302 414 950074 107 706228 521 293772 3 58 656551 414 950010 107 706541 521 293459 2 50 656799 413 949945 107 706854 521 293146 1 60 657047 413 949881 107 707166 520 292834 Degrees. AND TANGENTS. (27 Degrees. ) 53 I Co. I Tang I D. I Coia! D-657047 413 9-949881 167 0-707166 520 10-2i;2834 60 1 657295 413 949816 107 707478 520 292522 59 o 657542 412 949752 107 707790 520 292210 58 5 657790 412 949688 168 708102 520 291898 57 4 658037 412 949623 108 708414 5J9 291586 56 5 658284 4J2 949558 108 708726 519 291274 55 6 658531 411 949494 108 709037 519 290963 54 7 658778 411 949429 168 709349 519 290651 53 8 G5U025 411 949364 108 709660 519 290340 52 9 65U271 410 949300 108 709971 518 290029 51 ]() 059517 410 949235 108 710282 518 289718 50 11 9-659763 410 9-949170 108 9-710593 518 10-289407 49 12 660.009 409 949105 108 710904 518 289096 48 13 660255 409 949040 108 711215 518 288785 47 14 fi()0501 409 948975 108 711525 517 28847^ 46 15 660746 409 948910 108 7118:16 517 288164 45 IG •()60991 408 948845 108 712146 517 287854 44 17 661236 408 948780 109 7124.56 517 287544 43 18 661481 468 948715 109 712766 516 287234 42 19 661726 407 948650 109 713U76 516 286924 41 20 661970 407 948584 109 713386 516 286614 40 21 9-662214 407 9-948519 109 9-713696 516 10-286304 39 22 662459 407 948454 109 714005 516 2S5995 38 23 662703 406 948388 109 714314 515 285C86 37 24 6G2946 400 948323 109 714624 515 285376 36 25 663190 406 948257 109 714933 515 285067 35 23 6G3433 405 948192 109 715242 515 2^4758 34 27" 663677 405 948126 109 715551 514 284449 33 28 663920 405 948060 109 715r60 514 284140 32 29 664163 405 947995 110 716168 514 283832 31 30 664406 404 947929 110 716477 514 283523 30 31 9-664048 404 9-947863 110 9-716785 514 10-283215 29 32 664891 404 947797 110 717093 513 282907 28 33 665133 403 947731 110 717401 513 282599 27 34 665375 403 947665 110 717709 513 282291 26 35 665617 403 947600 110 718017 513 281983 25 36 665859 402 947533 110 718325 513 281675 24 37 666100 402 947467 110 718633 512 281367 23 38 666342 402 947401 110 718940 512 281060 22 39 666583 402 947335 110 719248 512 280752 21 40 666824 401 947269 110 719555 512 280445 20 41 9-667065 401 9-947203 110 8-719862 512 10-2801.38 19 42 667305 401 847136 111 720169 511 279831 18 43 667546 401 947070 111 720476 511 279524 17 44 667786 400 947004 111 720783 511 279217 16 45 668027 400 946937 111 721089 511 278911 15 46 668267 400 946871 111 721396 511 278604 14 47 668506 399 94'-804 111 721702 510 278298 13 48 668746 399 946738 111 722009 510 277991 12 49 668986 399 946671 111 722315 510 277685 11 50 669225 399 946604 111 722621 510 277379 10 51 9-689464 398 9-9465P8 111 9-722927 510 10-277073 9 52 669703 398 946471 111 723232 5119 276768 8 53 669942 398 946404 111 723538 509 276462 7 54 670181 397 946337 111 723844 509 27615G () 55 670419 397 946270 112 724149 509 275851 5 56 670658 397 946203 112 724454 509 275546 4 57 67'J896 397 946136 112 724759 508 275241 3 58 671134 396 946069 112 723065 508 274935 2 59 671372 396 946002 112 725369 508 274(>:n 1 60 671609 396 945935 112 725674 508 274326 I Cosine | I Cotancr. I 1 M. 62 Degrees. 54 (?8 Degrees.) a TABLE OF LOGARITHMIC 9-671609 396 9-945935 112 y-725()74 508 10-274326 60 1 671847 395 9458(i8 112 725979 508 274021 59 2 672084 395 945800 112 726284 507 273716 58 3 672321 395 945733 112 726588 507 273412 57 4 672558 395 945(;66 112 726892 507 273108 56 5 672795 394 945598 112 727197 507 272803 55 6 673032 394 945531 112 727501 507 272499 54 7 673268 394 945464 113 727805 506 272195 53 8 673505 394 945396 113 728109 506 271891 52 9 673741 393 945328 113 728412 506 271588 51 10 673977 393 945261 113 728716 506 271284 50 11 9-674213 393 9-945193 113 9-729020 506 10-270980 49 12 674448 392 945125 113 729323 505 270677 48 13 G74()84 392 945058 113 729626 505 270374 47 14 674919 392 944990 113 729929 505 270071 46 15 675155 392 944922 113 730233 505 269767 45 16 675390 391 944854 113 730535 505 269465- 44 17 675624 391 944786 113 730838 504 269162 43 18 675859 391 944718 113 731141 504 268859 42 19 676094 391 944650 113 731444 504 IS 41 20 676328 390 944582 114 731746 504 40 21 9-676562 390 9-944514 114 9-732048 504 10-267952 39 22 676796 390 944446 114 732351 503 267649 38 23 677030 390 944377 114 732653 503 267347 37 24 6'/'/264 389 944309 114 732955 503 267045 " 36 25 677498 389 944241 114 733257 503 266743 35 26 677731 389 944172 114 733558 503 266442 34 27 677964 388 944104 114 733860 502 266140 33 28 678197 388 944036 114 734162 502 265838 32 29 678430 388 943967 114 734463 502 265537 31 30 678663 388 943899 114 734764 502 265236 30 31 9-678895 387 9-943830 114 9-7:i5066 402 10-264934 29 32 679128 387 943761 114 735367 502 264(533 28 33 679360 387 943693 115 735668 501 264332 27 34 679592 387 943624 115 735969 501 264031 26 35 679824 386 943555 115 736269 501 263731 25 36 680056 386 943486 115 736570 501 263430 24 37 680288 386 943417 115 736871 501 263129 23 38 680519 385 943348 115 737171 500 262829 22 39 680750 385 943279 115 737471 500 262529 21 40 680982 385 943210 115 737771 500 262229 20 41 9-681213 385 9-943141 115 9-738071 500 10-261929 19 42 681443 384 943072 115 438371 500 261629 18 43 681674 384 943003 115 738671 499 261329 17 44 681905 384 942934 115 738971 499 261029 16 45 682135 384 942864 115 739271 499 260729 15 46 682365 383 942795 116 739570 499 260430 14 47 682595 383 942726 116 739870 499 260130 13 48 682825 383 942656 116 740169 499 259831 12 49 683055 383 942587 116 740468 498 25953? 11 50 683284 382 942517 116 740767 498 259233 10 51 9-683514 382 9-942448 116 9-741066 498 10-258934 9 52 683743 382 942378 116 741365 498 258635 8 53 683972 382 942308 116 741664 498 258336 7 54 684201 381 942239 116 741962 497 258038 6 55 684430 381 942169 116 742261 497 257739 5 56 684658 381 942099 116 742559 497 257441 4 57 684887 380 942029 116 742858 497 257142 3 58 685115 380 941959 116 743156 497 256844 2 59 685343 380 941889 117 743454 497 256546 1 60 685571 380 941819 117 743752 496 256248 Tan-. I M 61 Degrees. SINES AND TANGENTS. ('29 Degi'ees ) 55 ^u^ Sine sr Cosine D. Tang. D. 1 Cotang. "", ) 9-685571 380 9-941819 117 9-743752 496 ia-256248 60 ; 1 685799 379 941749 117 744050 496 255950 - 59 ( 2 686027 379 941679 117 744348 496 255652 58 3 686254 379 941609. 117 744645 496 255355 57 4 686482 379 941539 117 744943 496 255057 56 5 686709 378 941469 117 745240 496 254760 55 6 686936 378 941398 117 745538 495 254462 54 ) 7 687163 378 941328 117 745835 495 254165 53 ? 8 687389 378 941258 117 746132 495 253868 52 ) 9 687616 377 941187 117 746429 495 253571 51 )10 637843 377 941117 117 746726 495 253274 50 11 9-688069 377 9-941046 118 9-747023 494 10-252977 49 12 688295 377 940975 118 747319 494 252681 48 )l3 688521 376 940905 118 747616 494 252384 47 14 688747 376 940834 118 747913 494 252087 46 15 688972 376 940763 118 748209 494 251791 45 16 689198 376 940693 118 748505 493 251495 44 17 689423 375 940622 118 . 748801 493 251199 43 ^ 18 689648 375 940551 118 749097 493 250903 42 JU 689873 375 940480 118 749393 493 25C607 41 •20 680098 375 940409 118 749689 493 250311 40 .;21 9-690323 374 9-940338 118 9-749985 493 10-250015 39 ^22 690548 374 940267 118 750281 492 249719 38 (23 (24 690772 374 940198 118 750576 492 249424 37 690996 374 940125 119 750872 492 249128 36 25 691220 373 940054 119 751167 492 248833 35 26 691444 373 939982 119 751462 492 248538 34 27 691668 373 939911 119 751757 492 248243 33 (28 691892 373 939840 119 752052 491 247948 32 (29 692115 372 939768 119 752347 491 247653 31 (30 (31 692339 372 939697 119 752642 491 247358 30 9-692562 372 9-939625 119 9-752937 49a 10-247063 29 (32 692785 371 939554 119 753231 491 246769 28 (33 (34 693008 371 939482 119 753526 491 246474 27 693231 371 939410 119 7.53820 490 246180 26 (35 693453 371 939339 119 754115 490 245885 25 36 693676 370 939267 120 754409 490 245591 24 37 693898 370 939195 120 754703 490 245297 23 .38 (39 694120 370 939123 120 754997 490 245003 22 694342 370 939052 120 755291 490 244709 21 40 694564 369 938980 120 755585 489 244415 20 41 9-694786 369 9-938908 120 9-755878 489 10-244122 19 42 43 U4 695007 369 938836 120 756172 489 243828 18 695229 369 938763 120 756465 489 243535 17 695450 368 938691 120 756759 489 243241 16 45 695671 368 938619 120 757052 489 242948 15 -lO 695892 368 938547 120 757345 488 242055 14 , -17 696113 368 938475 120 757638 488 242362 13 ^48 696334 307 938402 121 757931 488 242069 12 49 696554 367 938330 121 758224 488 241776 n 50 696775 367 938258 121 758517 488 241483 10 51 ■52 9-696995 367 9-938185 121 9-758810 488 10-241190 9 697215 366 938113 121 759102 487 240898 8 53 697435 366 938040 121 7.W395 487 240605 54 697654 366 937967 121 759387 487 240313 6 55 56 )57 697874 366 937895 121 75i>979 487 240C21 5 698094 365 937822 121 760272 487 239728 4 698313 365 937749 121 76(i5(;4 487 239436 3 58 59 698532 365 937676 121 760856 486 239144 698751 365 9376IJ4 121 761148 486 238852 1 60 698970 364 937531 121 761439 486 238561 Cosine ^^..^^^__, Sine Cotang. _^^^g^ J^ M. 6 Degre es. 56 (30 Degrees.) a TABLE OF LOGARITHMIC. M. Sine D. 1 Cosine D. Tang. D. Cotang. 1 9-698970, 364 9-937531 121 9-761439 486 10-238561 60 1 699189 S64 937458 122 761731 486 238269 59 3 699407 364 9a7385 122 762023 486 237977 58 3 699626 364 93731^ 122 762314 486 237686 57 4 699844 363 937238 122 762(i06 485 237394 56 5 7UO0«)2 363 937165 122 76->:97 485 237103 55 6 700280 363 937092 122 763188 485 236812 54 700498 363 937019 122 763479 485 236521 53 8 7U0716 363 936946 122 763770 485 236230 52 y 700933 362 936872 122 764061 485 235939 51 10 701151 302 936799 122 764352 484 235648 50 ii 9-701368 362 9-936725 122 9-764043 484 10-235357 49 1-2 701585 362 936652 123 764933 484 235067 48 13 701802 361 936578 123 765224 484 234776 47 14 702019 361 936505 123 765514 484 234486 46 15 702236 361 936431 123 765805 484 234195 45 16 702452 361 936357 1-23 ■766095 484 233905 44 17 702669 360 936264 123 766385 483 233615 43 18 702885 360 936210 123 766675 483 933325 42 19 703101 360 936136 123 766965 483 233035 41 2a 703317 360 936062 123 767255 483 232745 40 21 9-703533 359 9-935988 123 9-767545 483 10-232455 39 22 703749 359 935914 123 767834 483 232166 38 23 703964 359 9358^10 123 768124 482 231876 37 24 704179 359 935766 124 768413 482 231587 36 25 704395 359 935092 124 708763 482 231297 35 2r> 704610 358 935618 124 768992 482 231008 34 •27 704825 358 935543 12-1 769281 482 230719 33 ■28 705040 358 935469 124 769570 482 230430 32 29 7(!5254 358 935395 124 769860 481 230140 31 30 705469 357 935220 124 770148 481 229852 30 31 9-705683 357 9-935246 124 9-770437 481 10-229563 29 32 705898 357 935171 124 770726 481 229274 28 ;:3, 706112 357 935097 124 771015 481 228985 27 ■M 706326 356 935022 124 771303 481 228697 26 35 70(i539 356 934948 124 771592 481 228408 25 36 706753 356 934873 124 771880 480 228120 24 37 706967 356 934798 125 772168 480 227832 23 38 707180 355 934-23 125 772457 480 227543 22 39 707393 355 934649 125 772-45 480 227255 21 40 707006 355 934574 125 773033 480 2-26967 20 41 9-707819 355 9-934499 125 9-773321 480 10-226679 19 42 7080S2 354 934424 125 773008 479 220392 18 43 708245 354 934349 125 773806 479 226104 17 44 708458 354 934274 125 774184 479 22581G 16 45 708670 354 934199 125 774471 479 225529 15 40 708882 353 934123 125 774759 479 22.5241. 14 47 709094 353 934048 125 775046 479 224954 13 48 7C9306 353 933973 1-25 775333 479 224667 12 49 709518 353 933898 126 775621 478 224379 11 50 709730 353 933822 126 775908 478 224092 10 :>! y-709041 352 9-933747 126 9-776195 478 10-223805 9 52 710153 352 933671 126 776482 478 223518 8 53 710364 352 933596 126 776769 478 223231 7 54 710575 352 9335-20 126 777055 478 222945 6 55 710786 351 933445 126 777342 478 222058 5 5r> 710S97 351 933369 126 777628 477 222372 4 57 7112C8 351 933293 126 777915 477 222085 3 58 711419 351 933217 126 778201 477 22 J 799 2 59 711629 350 933141 126 778487 477 22I0I2 1 eo 711839 350 93ri066 126 7787^4 ■ 477 221226 I Cosine | I Tang. 59 Decrees SINES AND TANGENTS. (31 Degrees.) I Cosin Ta>,g. I 9-711839 350 9-933066 126 9-778774 477 10--221-2-26 60 ' 1 712050 350 932990 127 779060 477 220940 59 > 712260 350 93-2914 127 779346 476 220654 ,>M f 3 7liM69 349 932838 127 • 779632 476 220368 57 ' 4 712679 349 932762 127 779918 476 220082 56 ' 5 712889 349 932<)85 127 780203 476 219797 55 / 6 71 3098 349 932609 127 780489 476 219511 54 ,' 713308 349 932533 127 780775 476 2192-25 53 ' 8 713517 348 93-2457 1-27 781060 476 218940 52 / 9 713726 348 932380 127 781346 475 218654 51 ! 10 713935 348 93-2304 127 781631 475 2.18369 50) 11 9-714144 348 9-932228 127 9-781916 475 10-218084 49 12 714352 347 932151 127 782201 475 217799 48 13 714561 347 932075 1-28 782488 475 217514 47 14 714769 347 931998 1-28 782771 475 217229 46 15 714978 347 931921 128 783056 475 210944 45 ^ 16 715186 347 931845 128 78:i34l 475 216659 44 ' 17 715394 ai6 931768 128 783626 474 216374 43 ' 18 715602 346 931691 128 783910 474 216090 42; 19 715809 346 931614 128 784195 474 215805 41 20 716017 346 931537 128 784479 474 2155-21 40/ 21 9-7162-24 345 9-931460 128 9-784764 474 10-215-236 39; 22 716432 345 931383 128 785048 474 214952 38 23 716639 345 93 J 306 128 785332 473 214668' ■37 24 716846 345 9312-29 129 785616 473 214384 36 25 717053 345 931152 129 785900 473 214100 35 26 717259 344 931075 129 786184 473 213816 34 27 717466 344 930998 129 786468 473 213532 33 28 717673 344 930921 129 786752 473 213-248 32 29 717879 344 930843 129 787036 473 2i29()4 31 30 718085 343 930766 129 787319 472 212681 30 31 9-718291 343 9-930(588 129 9-787603 472 10-212397 29 ) 32 718497 343 930611 129 787886 472 212114 28 ) 33 718703 343 93IJ533 129 788170 472 211830 27 34 718909 343 930456 129 788453 472 211547 •20 35 719114 342 930378 129 788736 472 211264 25 36 719320 342 930300 130 789019 472 210981 •24 37 719525 342 930223 130 789302 471 210698 23 38 719730 342 930145 130 789585 471 210415 22 39 719935 341 930067 130 789868 471 210132 21 40 720140 341 929989 130 790151 471 209849 •20 41 9-720345 341 9-929911 130 9-790433 471 10-209567 19 42 720549 341 929833 130 790716 471 209284 18 43 720754 340 929755 130 790999 471 209001 17 44 720958 340 929677 130 791281 471 208719 16 45 721162 340 929599 130 791563 470 208437 15 ) 46 721366 340 929521 130 791846 470 208154 14 / 47 721570 340 929442 130 792128 470 207872 13 48 721774 339 929364 131 792410 470 207590 12 49 721978 339 929-286 131 792692 470 207308 11 ( 50 722181 339 929207 131 792974 470 207026 10 ) 51 9-722385 339 9-929129 131 9-793256 470 10-206744 9 52 722588 339 929050 131 793538 469 206462 8 ( 53 722791 338 9-28972 131 793819 ■ 469 206181 ^ 54 722994 338 928893 131 794101 469 205899 6 55 723197 338 928815 131 794383 469 205617 5 56 723400 338 928736 131 794664 469 205336 4 57 723603 337 928657 131 794945 469 205055 3 58 723805 337 928578 131 795227 469 204773 o 59 724007 337 928499 131 795508 468 204492 1^ 60 724210 337 928420 131 795789 468 204211 ( I Cosine I I Sine I Cotang. I I Tang. I M. 58 Degrees. 58 Sine 1 > Degrees.) A TABLE OF LOGARITH MIC Ct.lanjr. "mTT D?^ Cosme 1 D. i ^■"^i^^^^^^r^ D. "'""^ j 9-724210 337 9-928420 132 9-795789 468 10-204211 ~W\ 1 724412 337 928342 928263 , 928183 132 796070 468 203930 59 ( 2 724614 336 132 796351 468 203649 58 ( 3 724816 336 132 796632 468 203368 57 ( 4 725017 336 928104 132 796913 468 203087 56 5 725219 336 928625 132 797194 468 202806 55 6 725420 335 927946 132 797475 468 202525 54 7 725622 335 927867 132 797755 468 202245 53 8 725823 335 927787 132 798{>36 467 201964 52 9 726024 335 927708 132 798316 467 201()84 51 ]0 72t>225 335 927629 132 798596 467 201404 50 11 9-726426 334 9-927549 132 9-798877 467 10-201123 49 12 726626 334 927470 133 799157 467 200843 48 13 726827 334 927390 133 799437 467 200563 47 14 727027 334 927310 133 799717 467 200283 46 15 727228 334 927231 133 799997 4(;6 200003 45 16 727428 333 927151 133 8C0277 466 199723 44 17 727628 333 927071 133 800557 466 199443 43 18 727828 333 926991 133 8C0836 466 199164 42 19 728627 333 92(>91i 133 801116 466 198884 41 20 728227 333 926831 133 801396 466 198004 40 21 9-728427 332 9-926751 133 9-801675 466 10-198325 39 22 728626 332 926671 133 801955 466 198045 38 23 728825 332 926591 133 802234 465 197766 37 24 729024 332 92C511 134 802513 4(-5 197487 36 25 729223 331 926431 134 802792 465 197208 35 26 729422 331 926351 134 803072 465 196)928 34 27 729621 331 92(>270 134 803351 4()5 196649 33 28 729820 331 926190 134 803630 465 196370 32 29 730018 330 926110 134 803908 465 196092 31 30 730216 330 926029 134 804187 465 195;-13 30 31 9-730415 330 9-925949 134 9-804466 464 10-195534 29 32 730613 330 925868 134 804745 464 195255 28 33 7368J1 330 925788 134 805023 464 194977 27 34 731009 329 925707 134 805302 464 194698 26 35 731206 329 925626 134 805580 464 194420 25 36 731404 329 925545 135 805859 464 194141 24 37 731602 329 9254(55 135 806137 464 193803 23 38 731799 329 925384 135 806415 463 193585 22 39 731996 328 925303 135 806693 463 193307 21 40 732193 328 925222 135 806971 463 193029 20 ) 41 9-732390 328 9-925141 135 9-807249 463 10-192751 19 42 732587 328 925060 135 807527 463 192473 18 43 732784 328 924979 135 807805 403 ^ 192195 17 44 732980 327 924897 135 808083 463 T91917 16. 45 733177 327 924816 135 808361 463 '191639 15 46 733373 327 924735 136 808638 4(^2 1913(3 14 47 733569 327 924654 136 808916 462 191(i84 13 48 733765 327 924572 136 809193 462 190807 12 49 733961 326 924491 136 809471 462 190529 11 ^^50 734157 326 924409 136 809748 462 190252 10 ) 51 9-734353 326 9-924328 136 9-810025 462 10-189S)75 9 , 52 734549 326 924246 136 810302 462 189698 8 ; 53 734744 325 924164 136 810580 462 189420 7 ) 54 734939 325 924083 136 810857 462 189143 6 ) 55 735135 325 924001 136 811134 461 188866 5 ; 56 735330 325 923919 136 811410 461 188590 4 ; 57 735525 325 923837 136 811687 461 188313 3 , 58 735719 324 923755 137 811964 461 18S(i3() 2 > 59 735914 324 923673 137 812241 461 187759 1 ) 60 736109 324 923591 137 812517 461 187483 ' . 1 Cosine I i-^-^-Ji:;!^ 1 Cotanj. __Th;5_^ -JL 57 Degre es. INES AND TANGENTS. (33 Degrees.) 59 ImT Sine D. Cosine ^"^dT"" Tang;. r'l)?''^ Cutan=r. ^) ^ -y-73010'J 324 9-923591 137 9-812517 461 10-187482 "W/ 1 73C303 324 S23509 137 812794 461 187206 59^ 2 7:if)4y8 324 923427 137 813070 4G1 186930 58 ( 3 73(it"92 323 923345 137 813347 460 186653 57/ 4 73G8S6 32:j 9232G3 137 813023 460 186377 56 (- 5 737080 323 923181 137 813899 460 186101 55 ( G 737274 323 923098 137 814175 460 185825 54 < 7 737467 323 923016 137 814452 460 185548 53^ 8 737661 322 922933 137 814728 460 185272 52 ( 9 737855 322 922851 137 815004 460 184996 51 50 10 738048 322 922768 138 815279 460 184721 11 9-738241 322 9-922686 138 9-815555 459 10-184445 49 ( 12 738434 322 922603 138 815831 459 184109 48 ( 13 738(i27 321 922520 138 816107 459 183893 45 14 738820 321 922438 138 816382 459 183618 ].-. 73yoi3 321 922S55 138 810658 459 183342 , 16 739206 321 9222-2 1C8 816933 459 183067 44 j7 739398 321 922189 138 817209 459 182791 43 18 '39590 320 922106 138 817484 459 182516 42 19 7IUi783 320 922023 138 817759 459 182241 41 ( 20 . 739975 320 921940 138 81^035 458 181965 40 ( •21 9-740107 320 9-921857 139 9-818310 458 10-181090 39 --•2 740359 320 921774 139 818585 4c8 181415 38 23 740550 319 921691 139 818860 458 181140 37 24 740742 319 921607 139 819135 458 1808ri5 36 S 25 7401(34 319 921524 139 819410 458 180590 .^3 2C) 741125 319 921441 139 8196S4 458 180316 ' 27 741316 319 921357 139 819959 458 180041 I 28 741508 318 921274 139 821.234 458 1797CC 32 29 741699 318 921190 139 820508 457 179492 31 ( 30 741889 ' 318 921107 139 820783 457 179217 30 S 31 9-742080 318 9-921023 139 S-F21C57 457 10-178943 29) 32 ^42271 318 920939 140 521332 457 178668 28^ 27 26 25 24 33 7424C2 317 920856 140 821606 457 178394 34 35 36 7426.52 317 920772 140 821880 457 178120 742842 317 920688 140 822154 457 ■'177846 743033 317 920()04 140 822429 457 177571 37 743223 317 920520 140 822703 . 457 177297 23 _ 38 743413 316 920436 140 822977 456 .177023 39 743GG2 316 920352 140 823250 456 176750 21 40 743792 316 920208 140 823524 456 176476 20 41 9-743982 316 9-920184 140 9-823798 456 10-176202 19 42 744171 316 92(;099 140 824072 456 175928 18 ) 43^ . 7443G1 315 920015 140 824345 456 1750.55 17 44 744550 315 919931 141 82401 9 456 175381 16 45 744739 315 919846 141 824893 456 175107 15 46, 744928 315 919762 141 825166 456 174834 14 47 745117 315 919677 141 82.5439 455 174561 13 )48 7453l!6 314 919593 141 825713 455 174287 12 > 49 745494 314 919508 141 825986 455 174014 11 ;5o. 745683 314 919424 141 826259 455 173741 10 /5I 9-745871 314 9-919339 141 S-g265.32 455 10-173408 / 52 746059 314 919254 141 826805 455 173195 8 /53 ) -54 746248 313 919169 141 827078 455 1729-22 7 746436 313 919085 141 827351 455 172649 / 55 ' 746624 313 919000 141 827624 455 172376 5 ; 56 57 74G812 313 918915 142 827897 454 172103 4 746999 313 918830 142 828170 454 171830 3 58 747187 312 918745 142 828442 4.54 171558 2 )59 747374 - 312 918659 142 628715 454 171285 1 , > m 7475(;2 312 918574 142 828987 454 . 171013 0? S;ne | | Ctitang^ 56 Deirreee. Tang. 1 M. ( 60 (34 Degrees.) a TABLE OF LOGARITHMIC )iL. 1 Sine 1 D- 1 • Cosine 1 D. 1 Tan?. r^oT^ 1 Cotang. 1 ■ ) 9-747562 312 9-918574 142 9-828987 454 10-171013 60 ( 11 747749 312 918489 142 829260 454 170740 59 I 747936 312 918404 142 829532 454 170468' 58 k } 3 748123 311 918318 142 829805 454 170195 57 ( / 4 748310 311 918233 142 830077 454 169923 56 I ^ 748497 311 918147 142 830349 453 169651 55 ( ^ 748683 311 918062 142 830621 453 169379 54' "' 748870 311 917976 143 830893 453 169107 53 « 749056 310 917891 143 831165 453 168835 52' ; 9 749243 310 917805 143 831437 453 168563 51 ) 10 749429 310 917719 143 831709 453 168291 50 } H 9-749615 310 9-917()34 143 9-831981 453 10-168019 49 ' / 12 7498U1 310 917548 143 832253 453 167747 48 ^ ; 13 749987 309 917462 143 832525 453 167475 47 '; ; 14 750172 309 917376 143 832796 453 167204 46 \ / 15 750358 309 917290 143 833068 452 166932 45) 44 / 16 750543 309 917-204 143 833339 452 166661 / n 750729 309 917118 144 833611 452 166389 43 42 f 18 750914 308 917032 144 833882 452 166118 ; ly 751099 308 916946 144 834154 452 165846 41 40 J ; 20 751284 308 916859 144 834425 452 165575 I 21 9-751469 308 9-916773 144 9-834696 452 10-165304 39 J 22 751654 308 916G87 144 834967 452 165033 38) ) '23 151839 308 916600 144 835238 452 164762 37 } ^ 24 752023 307 916514 144 835509 452 164491 36 / ^ 25 752208 307 916427 144 835780 451 164220 35 } j26 752392 307 9 J 6341 144 836051 451 163949 34) / 27 752576 307 91 254 144 836322 451 163678 33 ; 28 752760 307 91()167 145 836593 451 163407 32 / / 29 752944 306 916081 145 836864 451 163136 31 ; 30 753128 306 915994 145 837134 451 162866 30 ; 31 9-753312 306 9-915907 145 9-837405 451 10162595 29^ ( 32 753495 306 915820 145 837675 451 162325 28 ( 33 753679 306 915733 145 837946 451 16-2054 27 ^ 34 753862 305 915646 145 838216 451 161784 26 ( 35 754046 305 915559 145 838487 450 161513 25 / )f 754229 305 9 J 5472 145 838757 450 ■ 161243 24 / 37 754412 305 915385 145 839027 450 160973 23 i. 38 754595 305 915297 145 839297 450 160703 22 '^ . 3i» . 754778 304 915210 145 839568 450 160432 21 I 40 754960 304 915123 146 839838 450 160162 20 ( Ui 9-755143 304 9-915035 146 9-840108 450 10-159892 19 ' ^ 42 755326 304 914948 148 840378 450 159622 18 ' ;,43 755508 304 9J4860 146 840647 450 159353 • 17 ', 44 755690 304 914773 146 840917 449 159083 16 ' ) 45 755872 303 914685 146 841187 449 158813 15 ' )46 756054 303 914598 146 841457 449 158543 14 47 756236 303 914510 146 841726 449 158274 13 ( 48 756418 303 914422 146 841996 449 158004 12 '. 49 756600 303 914334 146 842266 449 157734 11 ^,50 756782 302 914246 147 842535 449 157465 10 ) 51 9-756963 302 9-914158 147 9-842805 449 10157195 9 ' ) 52 757144 302 914070 147 843074 449 156926 8 ■, ; 53 757326 302 913982 147 843343 449 150657 7 ,) 54 757507 302 913894 147 843612 449 156:i88 6 ) , 55 757688 301 913806 147 843882 448 156118 5^ ; 56 757869 301 913718 147 844151 448 155849 4 ) 1 57 758050 301 913630 147 844420 448 155580 3 ^ ■> 58 758230 301 913541 147 844689 448 155311 1 59 758411 301 91:M53 147 844958 448 155D-42 ) 60 758591 301 913365 147 845227 448 154773 -^ ' Cosine .^. Sine ..^'-^ 1 Tan?. mJ 55 Degrees. SINES AND TANGENTS, (35 De<,'rees.) 61 I Cosine | I Tang I Colancr. I 9-758591 301 9-913365 147 9.845227 448 10-154773 60 1 758772 300 913276 147 845496 448 154504 59 2 758952 300 913187 148 845764 448 154236 58 3 759132 300 913099 148 846033 448 153967 57 4 759312 300 913010 148 846302 448 153698 56 5 759492 300 912922 148 846570 447 , 153430 55 6 759672 299 912833 148 846839 447 153161 54 7 759852 299 912744 148 847107 447 152893 53 8 760031 299 912655 148 847376 447 152624 52 9 760211 299 912566 148 847644 447 152356 51 10 760390 299 912477 148 84791^ 447 152087 50 11 9-760569 298 9-912388 148 9.848181 447 10-151819 49 12 700748 298 912299 149 848449 447 151551 48 13 760927 298 912210 149 848717 447 151283 47 14 761106 298 912121 149 848986 447 151014 46 15 761285 298 912031 149 849254 447 150746 45 16 761464 298 911942 149 849.522 447 150478 44 17 761642 297 911853 149 849790 446 150210 43 18 761821 297 911763 149 8500.58 446 149942 42 19 761999 297 911674 149 850325 446 149675 41 20 762177 297 911584 149 850593 446 149407 40 21 9-762356 297 9-911495 149 9-850861 446 10-149139 39 22 762534 296 911405 149 851129 446 148871 38 23 7627^12 296 911315 150 851396 446 148604 37 24 762889 296 911226 150 851664 446 148336 36 25 763067 296 911136 150 851931 446 148069 35 26 763245 296 911046 150 852199 446 147801 34 27 763422 296 910956 150 852466 446 147534 33 28 763600 295 910866 150 852733 445 147267 32 29 763777 295 910776 150 853001 445 146999 31 30 763954 295 910686 150 853268 445 146732 30 31 9-704131 295 9-910596 150 9-853535 445 10-146465 29 32 764308 295 910506 150 853802 445 146198 28 33 764485 294 910415 150 854069 445 145931 27 34 764662 294 910325 151 854336 445 145664 26 35 764838 294 910235 151 854603 445 145397 25 36 765015 294 910144 151 854870 445 145130 24 37 765191 294 910054 151 855137 445 144863 23 38 765367 294 909963 151 855404 445 144596 22 39 765544 293 909873 151 855671 444 144329 21 40 765720 293 909782 151 855938 444 144002 20 41 9-765896 293 9-909691 151 9-856204 444 10-148796 19 42 766072 293 909601 151 856471 444 143529 18 43 766247 293 909510 151 856737 444 143263 17 44 766423 293 809419 151 857004 444 142996 16 45 766598 292 909328 152 857270 444 142730 15 46 766774 292 909237 152 857537 444 142463 14 47 766949 292 909140 152 857803 444 142197 13 48 767124 292 909055 152 858069 444 141931 12 49 767300 292 9081)64 152 8.58336 444 141664 11 50 7G7475 201 908873 152 858602 443 14J398 10 51 9-707049 291 9-908731 152 9-858868 443 10-Hli:2 9 52 7678-24 291 908690 152 859134 443 140866 8 53 767999 291 908599 152 859400 443 140600 7 54 768173 291 908507 152 859666 443 140334 6 55 768348 290 908416 153 859932 443 140008 5 56 768522 290 908324 153 860198 443 139802 4 57 768697 290 90^233 153 860464 443 139536 3 58 768871 290 908141 153 860730 443 139270 2 59 769045 290 908049 153 860995 443 139005 1 60 769219 290 907958 153 861261 443 138739 I Cosine I I Cotang. I I Tan I M, 51 Degrees. 6 (36 Degrees.) a TABLE OF logarithmic 9-769219 290 9-907958 153 9-861261 443 10-138739 60 1 769393 289 907866 153 861527 443 138473 59 2 769566 289 907774 153 861792 442; 138208 58 3 769740 289 907682 153 8G2058 442 137942 57 4 769913 289 907590 153 802323 442 137677 56 5 770087 289 907498 153 862589 442 137411 55 6 770260 288 907406 153 862854 442 137146 54 7 . 770433 288 907314 154 863119 442 136881 53 8 770606 288 907222 154 8G3385 442 130615 52 9 770779 288 9071-29 154 863650 442 136350 51 10 770952 288 907037 154 863915 442 136085 50 11 9-771125 288 9-906945 154 9-864180 442 10-135520 49 12 771298 287 906852 154 864445 442 135555 48 13 771470 287 906760 154 864710 442 135200 47 14 771643 287 906667 154 864975 441 1350-25 40 15 771815 287 906575 154 865240 441 134760 45 16 771987 287 900482 154 865505 441 134495 44 17 772159 287 '906389 155 865770 441 134230 43 18 772331 280 906296 155 866035 441 133965 42 19 772503 286 906204 155 866300 441 133700 41 20 772675 286 906111 155 866564 441 133436 40 21 9-772847 286 9-906018 155 9-860829 441 10-133171 39 22 773018 286 905925 155 867094 441 1329;)6 38 23 773190 286 9U5832 155 867358 441 132642 37 24 773361 285 905739 155 867623 441 132377 36 25 773533 285 905645 155 867887 441 132113 35 20 773704 285 905552 155 868152 440 131848 34 27 773875 285 905459 155 868416 440 131584 33 28 774046 285 905366 156 808G80 440 1313-20 32 29 ; 774217 2&) 905272 156 868945 440 131055 31 30 774388 284 905179 156 869209 440 130791 30 31 9-774558 •284 9-905085 156 9-869473 440 10-130527 29 32 774729 284 904992 156 869737 440 130263 28 33 774899 284 904898 150 870001 440 129999 27 34 775070 284 904804 156 8702()5 440 129735 26 35 775240 284 904711 156 870529 440 129471 25 36 775410 283 904617 156 870793 440 129-207 24 37 775580 283 904523 156 871057 440 128943 23 38 775750 283 904429 157 871321 440 1-28679 22 39 775920 283 904335 157 871585 440 128415 21 40 776090 283 904241 157 871849 439 128151 20 41 9-776859 283 "9-904147 157 9-8721 12 439 10-127888 19 42 776429 282 904053 157 872370 439 127024 ]» 43 776598 282 JH)3959 157 872()40 439 127360 17 44 776768 282 9038W 157 872903 439 127097 16 45 776937 282 903770 157 873107 439 126833 15 46 777106 282 903676 157 873430 439 126570 ■ 14 47 777275 281 903581 157 873694 439 126366 13 48 777444 281 903487 ■ 157 873957 439 126043 12 49 777613 281 903392 158 874220 439 125780 11 50 777781 281 903298 158 874484 439 125516 10 51 9-777950 281 9-903203 158 9-874747 439 10-125253 9 52 778119 281 903108 158 875010 439 124990 8 53 778-287 280 903014 158 875273 438 124727 7 54 778455 280 9C2919 158 875536 438 124464 6 55 778624 280 90-2824 158 875800 438 124200 56 778792 280 902729 158 876063 438 123937 4 57 778960 280 902634 158 876326 438 123674 3 58 779128 280 902539 159 87(5589 438 123411 o 59 779295 279 9(2444 159 876851 438 123149 1 60 779463 279 902349 159 877114 438 122886 53 Degrees Tang-. I M. SINES AND TANGENTS. (37 De^Tees.) 03 mT" Sme r^y i'^co^r'"" 1 D. T.-^. n. Cntani. '^— "^ — ( 9-779463 279 ' 9-902349 159 9-877114 438 10-122886 60 1 779631 279 902253 159 877377 438 122()23 59 ( 2 779798 279 902158 159 877040 438 122300 58 3 779966 275 902063 159 877903 438 122097 57 4 78i)133 279 901907 159 878105 438 121835 56 / 5 78U300 278 901872 159 878428 438 121572 55 6 7HU407 278 901776 159 878091 438 121309 .54 7 78il634 278 901681 159 878953 437 121047 53 8 780801 278 901585 159 879216 437 120784 52 ' 9 ■ 780968 278 901490 159 879478 437 120522 ■'il ] 10 781134 278 901394 160 879741 437 120259 50 ^ n 9-781301 277 9-901298 160 9-880003 437 .10-119997 49 ) 1-2 781408 277 901202 160 88U2()5 437 119735 48 f 13 781634 277 9011l;0 160 880528 437 119472 'i'' . 14 781800 277 9i)10]0 100 880790 437 119210 46 15 781906 277 900914 100 881052 437 118948 45 10 782132 277 900818 100 81^1314 437 118086 44 17 782298 276 900722 100 881576 437 118424 43 18 782404 2T6 900026 160 881839 437 118101 42 ^ 19 782030 276 900529 KiO 882101 437 1178t.9 41 ^ 20 782796 276 900433 161 882363 43G 117637 40 21 9-782961 276 9-900337 161 9-882625 436 10-117375 39 22 783127 276 900240 161 882887 436 117113 38 23 783292 275 900144 161 883148 436 110852 37 24 783458 275 900047 161 883410 436 110590 36 25 783623 275 899951 161 883072 436 116328 35 2 809569 249 883191 178 926378 427 073622 50 ( ; 11 9-809718 249 9-883084 178 9-926634 427 10-073366 49 ( ) 12 809868 249 882977 178 926890 427 073110 48 ) 13 810017 249 882871 178 927147 427 072853 47 ( / 14 810167 249 882764 178 927403 427 072597 46 ^ ) 15 810316 248 882657 178 927659 427 072341 45 ' ( 1^ 810405 248 882550 178 927915 427 072085 44 ' ) 17 810614 248 882443 178 928171 427 071829 43 '■ ^ 18- 810763 248 882336 179 928427 427 071573 42 < >19 810912 248 882229 179 928683 427 071317 41 ( ^ 20 811061 248 882121 179 928940 427 071060 40 ' (21 9-811210 248 9-882014 179 9-929196 427 10-070804 39 ; 22 811358 247 881907 179 929452 427 070548 38 23 811507 247 881799 179 929708 427 070292 37 24 811655 247 881692 179 929964 426 070036 36 ; 25 811804 247 881584 179 930220 426 069780 35 ' 26 811952 247 881477 179 930475 426 069525 34 27 812100 247 881369 179 930731 426 069269 33 ': , 28 812248 247 881261 180 930987 426 069013 32 ', ) 29 812396 246 881153 180 931243 426 068757 31 ; 30 812544 246 881046 180 931499 426 068501 30 t 31 9-812692 246 9-880938 180 9-931755 426 10-068245 29 32 812840 246 880830 180 932010 426 067990 28 / 33 812988 246 880722 180 932-266 426 067734 27 ; 34 813135 246 880613 180 93-2522 426 067478 26 ) 35 813283 246 880505 180 932778 426 067222 25 / )36 813430 245 880397 180 933033 426 066967 24 , ) 37 813578 245 880289 181 933289 426 066711 23 , ;-38 813725 245 880180 181 933545 426 066455 22 ; 39 813872 245 880072 181 933800 426 066200 21 ; 40 814019 245 879963 181 934056 426 065944 20 I 41 9-814166 245 9-879855 181 9-934311 426 10-065689 19 ( / 42 814313 245 879746 181 934567 426 065433 18 ( (43 814460 244 879637 181 934823 426 065177 17 ( 44 814607 244 879529 181 935078 426 064922 16 f 45 814753 244 879420 181 935333 426 064667 15 • 46 814900 244 879311 181 935589 426 064411 14 , 47 815046 244 879202 182 935844 426 064156 13 f 48 815193 244 879093 182 936100 426 063900 12 , 49 815339 244 878984 182 936355 426 063645 11 / 50 815485 243 878875 182 936610 426 063390 10 / 9 ) ) 51 9-815631 243 9-878766 182 9-936866 425 10-063134 52 815778 243 878656 182 937121 425 062879 8 ( ) 53 815924 243 878547 182 937376 425 062624 7 ( ) 54 816069 243 878438 182 937632 425 062368 6 / ; 55 816215 243 878328 182 937887 425 062113 5 / 56 816361 243 878219 183 93&142 425 061858 4 / 57 816507 242 878109 183 938398 425 061602 3 , 58 816652 242 877999 183 938653 425 061347 2 59 816798 242 877890 183 938908 425 061092 1 / 60 816943 242 877780 183 939163 425 060837 ■ 1 Cosine 1 1 Sine 1 1 Cotang. 1 Tang. iSJ 49 Degrees. INES AND TANGENTS. (41 Degi'ees.) I Cosine I 1 Tang. I D. 1 Cotanj 9-816943 242 9-877780 183 9-939163 425 10060837 60 1 817088 242 877670 183 939418 425 060582 59 2 817233 242 877560 183 939673 425 060327 58 3 817379 242 877450 183 939928 425 060072 57 4 817524 241 877340 183 940183 425 0598] 7 56 5 817668 241 877230 184 940438 425 059562 55 6 817813 241 877120 184 940694 425 059306 54 7 817958 241 877010 184 940049 425 059051 53 8 818103 241 870899 184 941204 425 058796 52 9 818247 241 876789 184 941458 425 058542 51 10 818392 241 876678 184 941714 425 058286 50 11 9-818536 240 9 876568 184 9-941968 425 10-058032 49 12 818S81 240 876457 184 942223 425 057777 48 13 818825 240 ^76347 184 942478 425 057522 47 14 818969 240 876236 185 942733 425 057267 46 15 819113 240 876125 185 942988 425 057012 45 16 819257 240 876014 185 943243 425 056757 44 17 819401 240 875904 185 943498 425 056502 43 18 819545 239 875793 185 943752 425 056248 42 19 819689 239 875682 185 944007 425 055993 41 20 819832 239 875571 185 944262 425 055738 40 21 9-819976 239 9-875459 185 9-944517 425 10-055483 39 22 820120 239 875348 185 944771 424 055229 38 23 820263 239 875237 185 945026 424 054974 37 24 820406 239 875126 186 945281 424 054719 36 25 820550 238 875014 186 945535 . 424 054465 35 26 820693 238 874903 186 945790 * 424 054210 34 27 820836 238 874791 186 946045 424 053955 33 28 820979 238 874680 186 940299 424 053701 32 29 821122 238 874568 186 946554 424 053446 31 30 821265 238 874456 186 946808 424 053192 30 31 9-821407 238 9-874344 186 9-947003 424 10-052937 29 32 821550 238 874232 187 947318 424 052682 28 33 821693 237 874121 187 947572 424 052428 27 34 821835 237 874009 187 947826 424 052174 26 35 821977 237 873896 187 948081 424 051919 25 36 822120 237 873784 187 948336 424 051664 24 37 822262 237 873672 187 948590 424 051410 23 38 822404 237 873560 187 948844 424 051156 22 39 822546 237 873448 187 949099 424 050901 21 40 822688 236 873335 187 949353 424 050647 20 41 9-822830 236 9-873223 187 9-949607 424 10.050393 19 42 822972 236 873110 188 949862 424 050138 18 43 823114 236 872998 188 950116 424 049884 17 44 823255 236 872885 188 950370 424 049630 16 45 823397 236 872772 188 950625 424 049375 15 46 823539 236 872659 188 950879 424 049121 14 47 823680 235 872547 188 . 951133 424 048867 13 48 823821 235 872434 188 951388 424 048612 12 49 823963 235 872321 188 951642 424 048358 11 50 824104 235 872208 188 951896 424 048104 10 51 9-824245 235 9-872095 189 9-952150 424 10-0478.50 9 52 824386 235 871981 189 952405 424 047595 8 53 824527 235 871868 189 952659 424 047341 7 54 824668 234 871755 189 952913 424 047087 6 55 824808 234 871641 189 953167 423 046833 5 56 824949 234 871528 189 953421 423 046579 4 57 825090 234 871414 189 953675 423 046325 3 58 825230 234 871301 189 953929 423 046071 2 59 825371 234 871187 189 954183 423 045817 1 60 825511 234 871073 190 954437 423 045563 I Cosine | Sine I I Cotang. | 48 Degrees. I Tang. 68 (42 Degrees.) a TABLE OF LOGARITHMIC M. Sine D. Cosine D. Tang. D. 1 Corang. 1 ~v 9-825511 234 9-87i073 190 9-954437 423 10-0455; 3 60 1 ^25651 233 870960 190 954691 423 045309 59 2 825791 233 870846 190 954945 423 045055 58 3 825931 233 870732 190 9552i,0 423 044800 57 4 826071 233 870618 190 955454 423 044546 56 5 826211 233 8705U4 190 955707 423. 044293 55 6 820351 233 870390 190 955S>61 423 044039 54. 7 826491 233 870276 190 956215 423 (M3'85 53 8 826631 233 8701(51 190 956469 423 043531 52 9 820770 232 870047 191 956723 423 043277 51 ID 826910 232 869933 191 956977 423 0430^3 50 11 9-82:049 232 9-869818 191 9-957231 423 10-042769 49 12 827189 2:J2 869704 191 957485 423 042515 48 U 827328 232 809589 191 957739 423 042261 47 14 827467 232 869474 191 957993 423 0420(.7 46 15 827606 232 869360 191 958246 423 041754 45 IG 827745 232 86y245 191 958500 423 041500 44 17 827884 231 869130 191 958754 423 041246 43 18 828023 231 809015 192 959008 423 040992 42 ly 828162 231 868900 192 9592(2 - 423 040738 41 20 828301 231 868785 192 959516 423 04(]484 40 21 9-828439 231 9-868670 192 9-959709 423 10-040231 39 22 828578 231 868555 1^2 96O023 423 039977 38 23 828716 231 868440 192 960277 423 039723 37 24 828855 230 868324 192 960531 423 039409 36 25 828993 230 868209 192 . 960784 423 03921(5 35 2:) 829131 230 • 868093 192 961038 423 038962 34 27 829269 230 807978 193 961291 423 038709 33 28, 829407 230 86V8G2 193 961545 423 038455 32 29 829545 230 807747 193 961799 423. ((38201 31 30 829683 230 867631 193 962052 423 037948 30 31 9-829821 229 9-867515 193 9-962306 423 10-037694 29 32 829959 229 867399 193 962560 423 037440 28 33 83(J097 229 867283 193 9(2813 423 037187 27 34 830234 229 867167 193 9(i3(!67 423 036933 26 35 830372 229 867051 193 903320 423 030680 25 36 830509 229 860935 194 963574 423 03(5426 24 37 830646 229 866819 194 9(>3827 423 036173 23 38 830784 229 8i:6703 194 964081 423 035919 22 39 830921 228 866586 194 964335 423 035665 21 40 831058 228 866470- 194 964588 422 035412 20 4] 9-831195 228 9-866353 194 t!-964842 422 10 035158 19 42- 831332 228 86C237 194 965095 422 034905 18 43 831469 228 866120 194 965349 422 034651 17 44 831606 228 866004 195 965602 422 034398 16 45 831742 228 865887 195 905855 422 034145 15 46 831879 228 865770 195 966109 422- 0338i»K 14 47 832015 227 865653 . 195 966362 422 033638 13 48 832152 227 865536 195 966616 4-22 033384 12 49 832288 227 865419 195 966869 422 033131 11 50 832425 227 865:i02 195 967123 422 032877 10 51 9-832561 227 9'865185 195 9-967376 422 10-032624 9 52 832';97 227 865668 195 967629 422 032371 8 53 832833 227 864950 195 967883 422 032117 7 54 832969 226 864833 196 9C8136 422 0318(54 6 55 8331(5 226 864716 196 968389 422 031611 5 56 83:241 226 864598 196 968643 422 031357 4 57 833377 226 864481 196 968896 422 031104 3 58 833512 226 864363 196 969149 422 030851 2 59 833648 226 864245 196 969403 422 030597 1 60 833783 226 864127 196 969656 422 030344 Ccsinc I I J Colang-. 47 Degrees. Tang. SINE J' AND T A N G E N T s . (43 Degrees ) 69 '/ M. S,„e ]^lx^ 1 Cosmo D. Tar.g. 1 n. 1 Cotai.K-. ~o" 9-833783 226 9-864127 196 9-969656 422 10-030344 00 1 833919 225 864010 196 969909 422 030091 59 2 834054 225 863892 197 970162 422 029838 58 3 834189 225 863774 197 970416 422 029584 57 4 834325 2-25 8G3656 197 970669 422 029331 56 5 834460 225 863538 197 970922 422 029078 55 ) 6 834595 803419 197 971175 422 028825 54 7 834730 225 863301 197 971429 422 028571 53 8 834865 225 863183 197 971682 422 028318 52 9 834999 224 863064 197 971935 422 028065 51 10 835134 224 862SM6 198 972188 422 027812 50 11 9-835269 224 9-862827 198 9-972441 422 10-027559 "'9 12 835403 224 862709 198 972894 422 027306 48 13 835538 224 862590 198 972948 422 027052 47 14 835672 224 862471 198 973201 422 020799 46 15 835807 224 862353 198 973454 422 020546 45 16 835041 224 862234 198 973707 020293 44 17 836075 223 862115 198 973960 422 020040 43 18 83(;2U9 223 861996 198 974213 422 025787 42 19 836343 223 861877 198 974466 422 025534 41 20 830477 223 861758 199 974719 422 025281 40 21 9-836611 223 9-861638 199 9-974973 422 10-025027 39 22 836745 223 861519 199 975226 422 024774 38 23 836878 223 861400 199 975479 422 024521 37 24 837012 222 861280 199 975732 422 024268 36 25 837146 222 861161 199 975985 422 024015 35 2G 837279 222 861041 199 976238 422 023762 34 27 837412 222 860922 199 976491 422 023509 33 28 837540 222 860802 199 976744 422 023250 32 29 837079 222 8«)0682 200 970997 422 023003 31 30 837812 222 860502 200 977250 422 022750 30 31 9-837945 222 9-860442 200 9-977503 422 10-022497 29 32 838078 . 221 800322 200 977756 422 022244 28 33 838211 221 860202 200 978009 422 021991 27 34 838344 221 8601.82 200 978202 •422 021738 26 35 838477 221 859962 200 918515 422 021485 25 36 838610 221 859842 200 978708 422 021232 24 37 838742 221 859721 201 979021 422 020979 23 38 838875 221 859601 201 979274 422 020726 22 39 830007 221 859480 201 979527 422 020473 21 40 839140 220 859360 201 979780 422 020220 20 41 9-839272 220 9-859239 201 9980033 422 10-019967 19 42 839404 220 859119 201 980286 422 , 019714 18 43 839536 220 858998 201 980538 422 019402 17 44 839668 220 858877 201 980791 421 01921/9 16 45 83U800 220 858756 202 981044 421 018956 15 46 839932 220 858035 202 981297 421 018703 14 47 840ij64 219 858514 202 981550 421 018450 13 48 840196 219 858393 202 9818U3 421 018197 12 49 84U328 219 858272 202 982.i56 421 017944 11 50 840459 219 858151 202 982309 421 017691 10 51 9-840591 219 9-858029 202 9-982562 421 10-017438 9 52 840722 219 857908 202 982814 421 017186 8 53 840854 219 857786 202 983J67 421 010933 7 54 840985 219 857665 203 98332!) 421 0l6(:.80 6 55 841116 218 857543 203 983573 421 010427 5 56 841247 218 857422 203 983826 421 010174 4 57 841378 218 8573U0 203 984079 421 015921 3 58 841509 218 857178 203 984331 4-21 015669 5!) 841640 218 857056 203 9845S4 4J1 015416 1 CO 841771 218 8519-4 203 984837 421 0151G3 1 ^ ^Cosine Sine ■ ^^^OMang^^^ ^^^C^ M. 4 5 Degret ;s. ^^ ^__ 70 (44 Degrees.) a table OF logarithmic r^ D. I Co I Ta 1 Cosine I Colan^. I Tang. 9-841771 218 9-856934 203 9-984837 421 10-015163 60 1 84 J 902 218 85G812 203 985090 421 014910 59 2 843033 218 856690 204 985343 421 014657 58 3 842163 217 856568 204 985596 421 014404 57 4 842294 2J7 856446 204 985848 421 014152 56 5 842424 217 856323 204 986101 421 013899 55 6 842555 2J7 856201 204 986354 421 013646 54 7 842685 217 856078 204 986607 421 013393 53 8 842815 217 855956 204 986860 421 013140 52 9 842946 217 855833 204 987112 421 012888 51 10 843076 217 855711 205 987365 421 012635 50 11 9-843206 216 9-855588 205 9-987618 421 10-012382 49 12 843336 216 855465 205 987871 421 012129 48 13 843466 216 855342 205 988123 421 011877 47 14 843595 216 855219 205 988376 421 011624 46 15 843725 216 855096 205 988629 421 011371 45 16 843855 216 854973 205 988882 421 011118 44 17 843984 216 854850 205 989134 421 010866 43 18 844114 215 854727 206 989387 421 010613 42 19 844243 215 854603 206 989640 421 010360 41 2a 844372 215 854480 206 989893 421 010107 40 21 9-844502 215 9-854356 206 9-990145 421 10-009855 39 22 844631 215 854233 206 990398 421 009602 38 23 844760 215 854109 206 990651 421 009349 37 24 844889 215 853986 206 990903 421 009097 36 25 8450 J 8 215 85:^62 206 991156 421 008844 35 26 845147 215 853738 206 991409 421 008591 34 27 845276 214 853614 207 991662 421 008338 33 28 845405 214 853490 207 991914 421 008086 32 29 845533 214 853366 207 992167 421 007833 31 30 845662 214 853242 207 992420 421 007580 30 31 9-845790 214 9-853118 207 9-992672 421 10-007328 29 32 845919 214 852994 207 992925 421 007075 28 33 846047 214 852869 207 993178 421 006822 27 34 846175 214 852745 207 993430 421 006570 26 35 846304 214 852620 207 993683 421 006317 25 36 846432 213 852496 208 993936 421 006064 24 37 84(5560 213 85-2371 208 994189 421 005811 23 38 846688 213 852247 208 994441 421 005559 22 39 846816 213 8521-22 208 994694 421 005306 21 40 846944 213 851997 208 994947 421 005053 20 41 9-847071 213 9-851872 208 9-995199 421 10004801 19 42 847199 213 851747 208 995452 421 004548 18 43 847327 213 851622 208 995705 421 004295 17 44 847454 212 851497 209 995957 421 004043 16 45 847582 212 851372 209 990210 421 003790 15 46 847709 212 851246 209 990463 421 003537 14 ( 47 847836 212 851121 209 996715 421 003285 13 ( 48 847964 212 850y9{i 209 996908 421. 003032 12 49 848091 212 850870 209 997221 421 002779 11 50 848218 212 850745 209 997473 421 0U2527 10 51 9-848345 212 9-850619 209 9-997726 421 10-002274 y 52 848472 211 850493 210 997979 421 002021 8 53 848599 211 850368 210 998231 421 001769 7 54 848726 211 850242 210 99S484 421 001516 6 55 848852 211 850116 210 998737 421 001263 5 56 848979 211 849990 210 998989 421 001011 4 57 849106 211 849864 210 999242 421 000758 ^ 58 849232 211 849738 210 999495 421 000505 2 59 849359 211 849611 210 999748 421 000253 1 60 849485 211 849485 210 10-000000 421 000000 _1 45 Degrees. TRAVERSE TABLE, SHOWING THE DIFFERENCE OF LATITUDE AND DEPARTUEE DISTANCES BETWEEN 1 AND 100; ANGLES TO QUARTER DEGREES BETWEEN 1° AND 90° TRAVERSE TABLE. 1' i Db. G. li Lat. Dep. / 1 1-UO 0-00 2- J J 001 ' 3 3-JO 001 ( '^ 4-JO 003 ) 5 5-OJ 002 (5 60J 0-03 7 8 7-0.) 003 80J 0-03 9 9- 00 0-04 10 10 00 004 ) 11 iioa 0-05 12U,J 0-05 ) 13 13-1)0 0-06 i I5 14-OJ 0-06 l.J-00 007 " Ifi-OlJ 0-i)7 17-00 007 ) 18 18-00 003 ) 19 19-00 0-03 j 20 2000 009 } 21 2100 0-09 ) 22 22-00 010 ) 23 2i-00 010 ) 24 24-OJ 0-10 ; 2.5 25-00 0-11 28 26-00 Oil ) 27 27-00 0-12 ) 28 28-00 0-12 ) 2J 29-00 0-13 J 30 3000 0-13 i 31 31-00 0-14 32 33 34 ) 35 32-00 0-14 33-00 0-14 34-00 0-15 35-00 0-15 36 36-00 0-16 37 37-00 0-16 38 38-00 0-17 ) 39 39-00 0-17 j 40 40-00 0-17 ) 41 41-00 0-18 \ 42 42 0) 0-18 43 43- JO 0-19 44 44-00 0-19 45 4.5-0;) 0-20 S 4G 46-00 0-20 ; 47 47-00 0-21 ) 48 48-00 0-21 ^9-00 50-90 Dep. 0-21 0-22 Lnt. Dep. 1-03 0-01 2- JO 0-.2 3-00 0-J3 400 003 5-.;0 0-04 6 00 0-05 700 0-06 8-00 0-07 9OJ 0-03 10 OJ 0-09 11-00 010 1200 010 1300 Oil. liOO 0-12 15O0 0-13 16-uO 0-14 17-00 0-15 18-00 0-10 1900 0-17 20-00 0-17 21-00 0-18 22-00 0-19 2.i00 0-20 24-00 0-21 2500 0-22 2000 0-23 27-00 0-24 2300 0-24 •2J-00 0-25 30-00 0-26 31-00 0-27 32-00 0-28 33-00 0-29 ^-00 0-30 3501) 0-31 36-00 0-31 37-00 0-32 3800 0-33 3900 0-34 4000 0-35 i Deg. 4000 41-00 0-35 0-36 42-00 0-37 4i-00 0-33 44-09 0-38 45-00 0-39 46-00 0-40 47-00 0-41 43-00 0-42 490J 0-43 50-00 0-44 Dep. Lat. Deg. 1-00 2-^0 3-00 400 5-00 6-00 7-UO 8-00 9-00 10-00 11-00 12-09 13-09 14-00 1509 16-00 17-00 IS-OJ 19-00 20-00 21-00 22 00 23-09 24-00 2500 26-00 27-00 23-00 2900 30-00 31-00 32-00 33-00 34-00 35-00 36-00 3700 33-00 3900 40-00 41-00 42-00 43-00 44-09 45-00 46-00 47-00 43-OJ 4900 50-00 Dep. Dep. C-01 03 04 0-05 0-07 (;-j8 0-09 0-10 0-12 0-13 0-14 0-16 0-17 0-18 0-29 0-21 0-22 0-24 0-25 0-26 0-27 0-29 0-39 031 0-33 0-34 035 0-37 0-33 0-39 0-41 0-42 0-43 0-45 0-46 0-47 0-48 0-50 0-51 0-52 0-54 0-55 0-58 0-53 0-59 0-60 0-62 0-63 06t 0-65 891 Deg. TRAVERSE TABLE. 73 h i Deo. I I)EG. j I Des. ) s .„. Dep. Lau Dep. 1 Lat. Dep. , 51 51-00 0-22 51.-C0 0-45 51-00 0-67 ) m 52-00 - 0-23 52-00 0-45 52-00 0-68 ( 53 53-00 0-23 53-00 0-46 5300 0-69 54 54-00 0-24 54-00 C--i7 54-00 G-71 55 55-00 0-24 55-00 0-48 1 5./00 0-72 <, 56 515-00 0-24 56-00 0-49 5;-oo 0-73 < 57 5700 0-25 57-00 0-50 57-00 0-75 ^ 58 58-00 0-25 58-00 0-51 ! 57-99 0-76 < 59 59-00 0i26 59-00 0-51 58-99 0-77 j 60 60-00 0-26 60-00 0-52 59-99 0-79 / 61 fil-00 0-27 61-00 0-53 60-99 0-80 t;2 02-00 0-27 62-00 0-54 61-99 0-81 6:i C3-00 0-27 63-00 0-55 62-99 0-82 , (i4 64-00 0-28 64-00 0-56 6.3-99 •0-84 / 65 65-00 0-28 65-00 0-57 64-99 0-85 I 66 60-00 0-29 66-00 0-58 65-99 0-86 I 67 07-00 0-29 67-00 0-58 66-99 0-88 / 68 68-00 0-30 68-00 0-59 67-99 0-89 I 69 09-00 0-30 69-00 0-60 68-99 C-90 . 70 70-00 0-31 70-00 0-61 69-99 0-92 71 71-00 0-31 71-00 C-62 70-99 0-93 ?'■' 72-00 0-31 72-UO 0-63 71-99 0-94 73 73-00 0-3-2 73-00 0-64 72-99 0-96 74 74-00 0-32 74-00 0-65 73-99 0-97 75 75-09 0-33 75-00 0-r>5 74-99 0-98 76 76-00 0-33 7ii-00 066 75-99 0-99 77 77-00 0-34 77 00 0-67 70-99 1-01 78 78-00 0-34 78-00 0-68 77-99 1-02 79 79-UO 0-34 7i)-00 0-69 78-99 1-03 HO 80-00 0-35 80-00 0-70 79-99 ■ 1-05 -n 81-00 0-35 81-00 0-71 80-99 106 ft^ 8200 0-30 82-00 0-72 81-99 1-07 H3 83-00 0-36 83-00 0-72 8-2-99 1-09 >-<4 84-00 0-37 84-00 0-73 83-99 1-10 rf5 85-00 0-37 8500 0-74 84-99 1-11 80 86-00 0-38 8G-00 0-75 85-99 1-13 i-7 87-00 0-38 87-00 0-76 86-99 114 H8 88-00 0-38 88-00 0-77 87-99 1-15 69 89 00 0-39 89-00 0-78 88-99 1-16 yo 90-00 0-39 90-00 0-79 89-99 118 91 91-00 0-40 91-00 0-79 90-99 1-19 92 92-00 0-40 92-00 0-80 91-99 1-20 93 93-00 0-41 93-00 0-81 92-99 1-22 94 94-00 0-41 94-00 0-82 93-99 1-23 95 95-00 0-41 95-00 0-83 94-99 1-24 96 90-00 0-42 9G-00 0-84 95-99 1-26 97 97-00 0-42 97-00 0-85 96-99 1-27 ; 98 98-00 0-43 9800 0-86 97-99 1-28 , ) 99 J 100 99-00 0-43 99-00 0-86 98-99 1-30 < 100-00 0-44 100-00 0-87 99-99 1-31 : Dep. Lat. Dep. Lat. Dep. Lat. i' n 89] r EU. m dkr. 1 89i Deq. 74 TRAVERSE TABLE. 1 Dkg. 1-00 2-00 3-00 4-00 5-00 6-00 7-00 8-UU '.too lu-uo 11-00 12-00 i;j-oo 1400 15-00 10-00 17-00 ics-00 l;»-00 20-00 21-00 2200 23-00 24-00 25-00 20-00 27-00 28-00 2t>-00 30-00 31-00 3200 32-90 33-09 34-09 35-99 3G-99 37-99 38-99 39-99 40-99 41-99 42-99 43-99 44-99 45-99 46-99 47-99 48-99 49-y9 Dep. Dep. 0-02 003 0-05 0-07 0-09 010 012 0-14 0-lG 0-17 0-19 0-21 0-23 0-24 0-28 0-28 0-30 0-31 0-33 0-35 0-37 0-38 0-40 0-42 0-44 0-45 0-47 0-49 tt-51 0-52 0-54 0-5G 0-58 0-59 0-Gl 0-G3 0-G5 0G6 0-G8 0-70 0-72 0-73 0-75 0-77 0-79 0-80 0-82 0-84 0-86 0-87 Deg. U Deg. 100 2-00 3-UU 4-00 5-00 G-00 7-00 8-00 y-00 lu-oo 11-00 12UU 13-00 14-00 15-00 16-00 17-00 18-00 19-00 20-00 21-00 21-y9 22-99 23-99 24-99 25-09 26-99 27-99 28-99 29-99 30-99 31-99 32-99 33-99 34-99 35-99 36-99 37-99 38-99 39-99 40-99 41-99 42-99 43-99 44-99 45-99 46-99 47-99 48 99 49-99 Dep. Dep. 0-02 0-04 0-07 0-09 0-11 013 0-15 0-17 0-20 0-22 0-24 0-26 0:28 0-31 0-33 0-35 0-37 0-39 0-41 0-44 0-46 0-48 0-50 0-52 0-55 0-57 0-59 0-61 0-63 0-G5 0-68 0-70 0-72 0-74 0-76 0-79 0-81 0-83 0-85 0-87 0-89 0-92 0-94 0-96 0-98 1-00 1-03 1-05 1-07 1-09 Deg. U Deg. 1-00 2-00 3-00 4-00 5-00 6-00 7-00 8-00 9-00 1000 11-00 12-00 13-00 14-00 14-99 15-99 16-99 17-99 18-99 19-99 20-99 21-99 22-99 23-99 21-99 25-99 26-99 27-99 28-99 29-99 30-99 31-99 32-99 33-99 34-99 35-99 36-99 37-99 38-99 39-99 40-99 41-99 42-99 43-99 44-99 45-99 46-99 47-98 48-98 49-98 Dep. Dep. 0-03 0-05 0-08 010 0-13 0-16 0-18 21 0-24 0-26 0-28 0-31 0-34 0-37 0-39 0-42 0-45 0-47 0-50 0-52 0-55 0-58 0-60 0-63 0-65 0-68 0-71 0-73 0-76 0-79 0-81 0-84 0-8G 0-89 0-92 0-94 0-97 0-99 1-(J2 1-65 1-07 1-10 1-13 1-15 1-18 1-20 1-23 1-26 1-28 1-31 28-99 29-99 30-99 31-99 32-98 33-98 34-!)8 35-98 36-98 37-98 38-98 39-98 40-98 41-98 42-98 43-98 44-98 45-98 46-98 47-98 48-98 49-98 Dep. n Deg. Lat. Dep. 1-00 0-03 2-00 0-06 3-00 0-09 4-00 0-12 1 5-UO 0-15 6-00 0-18 7-00 0-21 8-00 0-25 9-00 0-28 10-60 0-31 10-99 0-34 11-99 0-.37 12-99 0-40 1.3-99 0-43 14-99 0-46 15-99 0-49 lG-99 0-52 17-99 0-55 18-99 0-i58 19-99 0-61 20-99 0-64 21-99 0-G7 22-99 0-70 2.3-99 0-73 24-99 0-76 25-99 0-79 26-99 0-83 27-99 0-86 Deg. TRAVERSE TABLE. 1 1 Deg. Lat. Dep., 50-99 0-89 51-99 0-91 52-9!) 0-92 53-99 0-94 54-9:i 0-96 55-99 0-98 56-99 0-99 57-99 1-01 58-99 1-03 59-99 1-05 60-99 1-06 61-99 1-08 G'i-99 1-10 63-99 1-12 64-99 l-i3 65-99 rio 66-99 1-17 67-99 1-19 68-99 1-20 69-99 1-22 70-99 1-24 7I-y9 1-26 72-99 1-27 73-99 1-29 74-99 1-31 75-99 133 76-99 1.34 77-99 1-36 78-99 1-38 79-99 1-40 80-99 1-41 81-99 1-43 82-99 1-45 83-99 1-47 84 99 1-48 85-99 1-50 86-99 1-.-J2 87-99 1-54 88-99 1-.55 89-99 1-57 90-99 1-59 91-99 1-01 92-99 1-62 93-99 1-64 94-99 1-66 93-99 1-68 96-99 1-69 97-99 1-71 98-98 1-73 99-98 1-75 Dep. Lat. 89 E )EG. 1.^ Deg. 1| Deg. Lat. Dep. Lat. Dep. 50-99 1-11 50-98 1-34 51-99 1-13 51-98 1-36 52-99 1-16 52-98 1-39 53-99 1-18 53-98 1-41 54-99 1-20 54-98 1-44 55-99 1-22 55-98 1-47 56-99 1-24 56-98 1-49 57-99 1-27 57-98 1-52 58-99 1-29 58-98 1-54 59-99 1-31 59-98 1-57 60-99 1-33 60-98 1-60 61-99 135 61-98 1-62 62-99 1-37 62-98 1-65 63-98 1-40 63-98 1-68 64-98 1-42 64-98 1-70 65-98 1-44 65-98 1-73 66-98 1-46 66-98 1-75 67-98 1-48 67-98 1-78 68-98 1-51 68-98 1-81 69-98 1-53 69-98 1-83 70-98 1-55 70-98 1-86 71-98 1-57 71-98 1-88 72-98 1-59 72-97 1-91 73-98 1-61 73-97 1-94 74-98 1-64 74-97 1-96 75-98 1-66 75-97 1-99 76-98 1-68 76-97 2-02 77-98 1-70 77-97 2-04 78-98 1-72 78-97 2-07 79-98 1-75 79-97 2-09 80-98 1-77 80-97 2-12 81-98 1-79 81-97 2-15 82-98 181 82-97 2-17 83-98 1-83 83-97 2-20 84-98 1-85 84-97 2-23 85-98 1-88 85-97 2:25 86-98 1-90 86-97 2-28 87-98 1-92 87-97 2-30 88-98 ' 1-94 88-97 2-33 89-98 1-90 89-97 2-36 90-98 1-99 90-97 2-38 91-98 . 2-01 91-97 2-41 92-98 2-03 92-97 2-43 93-98 2-05 93-97 2-46 94-98 2-07 94-97 2-49 95-98 2-09 95-97 2-51 96-98 2-12 96-97 2-54 97-98 2-14 97-97 2-57 98-98 2-16 98-97 2-59 99-98 2-18 99-97 2-62 Dep. Lat. Dep. Lat. 88J I )Ea. mi 3EG. 1^ Deg. 50-98 51-98 52-98 53-97 54-97 55-97 56-97 57-97 58-97 59-97 70-97 71-97 72-97 73-97 74-97 75-96 76-96 77-96 78-.96 79-96 90-96 91-96 92-96 93-96 94-98 95-96 96-95 97-95 98-95 99-95 2-99 3-02 3-05 76 TRAVERSE TABLE. o 2 Deg. 21 Deg. 2L Deg. 5 Lat. Dep. Lat. Dep. Lat. Dep. 1 1-00 0-03 1-00 0-04 1-00 0-04 2 2-00 0-07 2-UO 0-08 2-00 0-09 3 3-00 0-10 3-00 0-12 3-00 0-13 4 4-00 0-14 4-00 0-16 4-00 .0-17 5 5-00 0-17 500 0-20 5-00 0-22 6 6-UO 0-21 6-00 0-24 5-99 0-26 7 7-00 0-24 0-99 0-27 6-99 0-31 8 7-99 0-28 7-99 0-31 7-99 0-35 9 8-99 0-31 8-09 0-35 8-99 0-39 10 9-99 0-35 9-99 39 9-99 0-44 ]1 10-99 0-38 10-99 0-43 10-99 0-48 ]2 11-99 0-42 11 -99 0-47 11-99 0-52 13 12-99 0-45 12-99 0-51 12-99 0-57 14 13-99 0-49 13-99 0-55 13-99 9-61 15 14-99 0-52 14-99 0-59 14-99 0-05 16 15-99 0-50 15-99 0-03 1.5-99 0-70 17 l()-99 0-59 10-99 0-07 10-98 0-74 18 17-99 0-(3 17-99 0-71 17-98 0-79 19 18-99 000 18-99 0-75 18-98 0-83 20 19-99 0-70 19-98 0-79 19-98 0-87 21 20-99 0-73 20-98 0-82 20-98 0-92 22 21-99 0-77 21-98 0-86 21-98 0-96 23 22-99 0-80 22-98 0-90 22-98 1-00 24 23-99 0-84 23-98 0-94 23-98 1-05 25 24-98 0-87 24-98 0-98 24-98 1-09 20 25-98 0-91 25-98 1-02 25-98 1-13 27 20-98 0-94 20-98 1-06 20-97 1-18 28 27-98 0-98 27-98 1-10 27-97 1-22 29 28-98 101 28-98 114 28-97 1-26 30 29-98 1-05 20-98 1-18 29-97 1-31 31 30-98 1-08 30-98 1-22 .30-97 1-35 32 31-98 1-12 31-98 1-26 31-97 1-40 33 32-98 1-15 32-97 1-30 32-97 1-44 34 33-98 1-19 33-97 1-33 33-97 1-48 35 34-98 1-22 34-97 1-37 34-97 1-53 36 35-98 1-20 35-97 1-41 35-97 1-.57 37 30-98 1-29 30-97 1-45 30-90 1-01 38 37-98 1-33 37-97 1-49 37-90 1-CO 39 38-98 1-36 38-97 1-53 38-96 1-70 40 39-98 1-40 39-97 1-57 39-96 1-75 41 40-98 1-43 40-97 1-61 40-96 1-77 42 41-97 1-47 41-97 105 41-96 1-83 43 42-97 l-.'iO 42-97 1-69 42-96 1-88 44 43-97 1-54 43-97 1-73 43-96 1-92 45 44-97 1-57 44-97 1-77 44-96 1-90 4fi 45-97 1-01 45-96 1-81 45-96 2-01. 47 40-97 1-04 46-90 1-85 46-90 2-05 ) 48 47-97 1-08 47-90 1-88 47-95 2-09 ) 49 48-97 1-71 48-96 1-92 48-95 2-14 ) 50 49-97 1-74 49-96 1-96 49-95 2-18 I 5 Dep. Lat. Dep. Lat Dep. Lat. ^ 88 Deo. 871 Deg. 87-h Deg. 21 Deg. Lat. Dep. 1-00 0-05 2-00 0-10 3-00 0-14 400 0-19 4-99 0-24 5-99 0-29 6-99 0-.34 7-99 0-38 8-99 0-43 9-99 0-48 10-99 0-53 11-99 0-.58 12-99 0-62 i:--y8 0-67 14-98 0-72 15-98 0-77 16-98 0-82 17-98 0-86 18-98 0-91 19-98 0-96 20-98 1-01 21-97 1-06 22-97 1-10 23-97 1-15 24-97 1-20 25-97 1-25 2()-97 1-30 27-97 1-34 28-97 1-39 29-97 1-44 30-90 1-49 31-96 1-54 32-90 1-.58 33-90 1-03 34-90 1-G8 3590 1-73 36-96 1-78 37-96 1-82 .38-96 1-87 39-95 1-92 40-95 1-97 41-95 2-02 42-95 2-06 43-95 2-11 44-95 2-J6 45-95 2-21 46-95 005 47-95 2-30 48-94 2-35 49-94 2-40 Dep. Lat. 87i Deg. TRAVERSE TABLE, 2 Dec. 2i Deg. 2^ I Lat. )EG. Dep. 2} Deg. i| Lat. ■ Dep. L.,. Dep. Lat. Dep. (51 50-97 1-78 50-96 2-00 5095 2-22 50-94 2-45 51 ( ) 5:2 51-97 1-81 5i-y6 2-04 51-95 2-27 51-94 2-50 52 ( ) 53 52-97 1-85 .52-96 2-08 52-95 2-3! .52-94 2-54 53 ( 51 53-97 1-88 53-96 2-12 53-95 2-36 53-94 2-59 54 ( / 55 54-97 1-92 54-96 216 54-95 2-40 54-94 2-64 55 ( ) 5(j 55-97 195 55-i.6 2-20 55-95 2-44 55-94 2-69 56 ( > 57 56-97 1-99 56-96 2-24 56-95 2-49 56-93 2-73 57 ( 58 57-96 2-02 57-96 2-28 57-94 2-53 57-93 2-78 58 ( 59 58-95 2-U6 58-95 2-32 58-94 2-57 58-93 2-83 59 ( GO 5y-96 2-09 59-95 2-36 59-94 2-62 59-93 2-88 60 ( 61 60-96 213 60-95 2-39 60-94 2-66 60-93 2-93 61 ( 62 61-96 2-16 61-95 213 61-94 2-70 81-93 2-97 62 / 63 62-96 2-20 62-95 2-47 62-94 2-75 62-93 3-02 63 64 / 64 63-96 2-23 63-95 2-51 63-94 2-79 63-93 307 65 64-96 2-27 64-95 2-55 64-94 2-84 64-93 3-12 65 ( 66 65-96 2-30 65-95 2-59 65-94 2-88 65-92 3-17 66 ( 67 66-96 2-34 66-95 2-63 66-94 2-92 6(5-92 3-21 67 I 6« 67-98 2-37 67-95 2-67 67-94 2-97 67-92 3-26 m I 69 68-96 2-41 68-95 2-71 68-93 3-01 68-92 3-31 69 I 70 69-98 2-44 69-95 2-75 69-93 3-05 69-92 3-36 70 ( 71 70-96 2-48 70-95 2-79 70-93 3-10 70-92 3-41 71 ( 72 71-95 2-51 71-94 2-83 71-93 3-14 71-92 3-45 72 I 73 72-96 2-55 72-94 2-87 72-93 3-18 72-92 3-50 73 ; 74 73-95 2-58 73-94 2-91 73-93 3-23 73-91 3-55 74 ) 75 74-95 2-62 74-94 2-94 74-93 3-27 74-91 3-60 75 ) 76 75-95 2-65 75-94 2-98 75-93 3-31 75-91 3-65 76 77 76-95 2-69 76-94 3-U2 76-93 3-36 76-91 3-70 77 ) 78 77-95 2-72 77-94 3-06 77-93 3-40 77-91 3-74 78 ) 79 78-95 2-76 78-94 3-10 78-92 3-45 78-91 3-79 79-) 80 79-95 2-79 79-94 3-14 79-92 3-49 79-91 3-84 80 ) ) 81 80-95 2-83 80-94 3-18 80-92 3-53 80-91 3-89 81 f 82 81-95 2-86 81-94 3-22 81-92 3-58 81-91 3-93 82 ) 83 82-95 2-90 82-94 3-26 82-92 3-62 82-90 3-98 83 ) > 84 83-95 2-93 83-94 3-30 83-92 3-66 83-90- 4-03 84 ) ) 85 84-95 2-97 84-93 3-34 84-92 3-71 84-90 4-08 85 ) 88 85-95 3-00 85-93 3-38 85-92 3-75 85-90 413 86 ) 87 86-95 3-04 86-93 3-42 86-92 3-79 86-90 4-17 87 ) ) 88 87-95 307 87-93 3-45 87-92 3-84 87-90 4-22 88 S ^ 89 88-95 3-11 88-93 3-49 88-92 3-88 88-90 4-27 89 ) 90 1 89-95 3-14 89-93 3-53 89-91 393 89-90 4-32 90 ) I 91 90-95 318 90-93 3-57 90-91 3-97 90-90 4-37 91 j ( 92 91-94 3-21 91-93 3-61 91-91 4-01 91-89 4-41 92 ) 93 92-94 3-25 92-93 3-65 92-91 4-06 92-89 4-46 93 94 93-94 3-28 93-93 3-69 93-91 4-10 93-89 4-51 94 ) 95 94-94 3-32 94-93 3-73 94-91 4-14 94-89 4-56 95 S 96 95-94 3-35 95-93 3-77 95-91 4-19 95-89 4-61 96 97 96-94 3-39 96-93 3-81 96-91 4-23 96-89 4-65 97 S 98 97-94 3-42 97-92 3-85 97-91 4-27 97-89 4-70 98 ( 99 98-94 3-46 98-92 3-89 98-91 4-32 98-89 4-75 99 r^ 99-94 3-49 99-92 3-93 99-91 4-36 99-88 4-80 100 J \ .2 s Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Q ) ^11 3eg. 87.1 De«. 87^- Deg. 1 s. Deg. 78 TRAVERSE TABLE, 3 Deg. ^ Deg. 3k Deg. P Lat. Dep. Lat. Dep. Lat. 1-00 Dep. 1 1-00 0-05 1-00 0-06 0-06 2 2-00 0-10 2-00 0-11 2-00 0-12 3 3-00 0-16 3-00 0-17 2-99 0-18 4 399 0-21 3-99 0-23 3-99 0-24 5 4-99 0-S6 4-99 0-28 4-99 0-31 6 5-99 0-31 5-99 0-34 5-99 0-37 7 6-99 0-37 6-99 0-40 6-99 0-43 8 7-99 0-42 7-99 0-45 7-99 0-49 9 8-99 0-47 8-99 0-51 8-98 0-55 10 9-99 0-52 9-98 0-57 9-98 0-61 11 10-98 0.58 10-98 0-62 10-98 0-67 12 11-98 0-63 11-98 0-68 11-98 0-73 13 12-98 0-G8 12-98 0-73 12-98 0-79 14 13-98 0-73 13-98 0-79 13-97 0-85 ) 15 14-98 0-79 14-98 0-85 14-97 0-92 ) IG 15-98 0-84 15-97 0-91 15-97 0-98 ) 17 16-98 0-89 16-97 0-96 16-97 1-04 ) 18 17-98 0-94 17-97 1-02 17-97 1-10 ) 19 18-98 0-99 18-97 1-08 18-96 1-16 ) 20 19-97 1-05 19-97 1-13 19-96 1-22 ) 21 20-97 1-10 20-97 1-19 20-96 1-28 ) 22 21-97 1-15 21-96 1-25 21-96 1-34 ) 23 22-97 1-20 22-96 1-30 22-96 1-40 ) 24 23-97 1-26 23-96 1-36 23-96 1-47 } 25 24-97 1-31 24-96 1-42 24-95 1-53 26 25-96 1-36 25-96 1-47 25-95 1-59 27 26-96 1-41 26-96 1-53 26-95 1-65 28 . 27-96 1-47 27-95 1-59 27-95 1-71 29 28-96 1-.52 28-95 1-64 28-95 1-77 30 29-96 1-57 29-95 1-70 29-94 1-83 31 30-96 1-62 30-95 1-76 30-94 1-89 32 31-96 1-67 31-95 1-81 31-94 1-95 33 32-95 1-73 32-95 1-87 32-94 2-01 34 33-95 . 1-78 33-95 1-93 33-94 .2-08 35 34-95 1-83 34-94 1-98 34-93 2-14 36 35-95 1-88 35-94 2-04 35-93 2-20 ) 37 36-95 1-94 36-94 2-10 36-93 2-26 / 38 37-95 1-99 37-94 2-15 37-93 2-32 39 38-95 2-04 38-94 2-21 38-93 2-38 j 40 39-95 2-09 39-94 2-27 39-93 2-44 ( 41 ■ 40-94 2-15 40-93 2-32 40-92 2-50 / 42 41-94 2-20 41-93 2-38 41-92 2-56 ( 43 42-94 2-25 42-93 2-44 42-92 2-63 / 44 43-94 2-30 43-93 2-49 43-92 ■ 2-69 / 45 44-94 2-36 44-93 2-55 44-92 2-75 / 46 45-94 2-41 45-93 2-61 45^J1 2-81 I 47 46-94 2-46 46-02 2-66 46-91 2-87 / 48 47 93 2-51 47-92 2-72 47-91 2-93 / 49 48-93 2-50 48-92 2-78 48-91 2-99 / 50 49-93 2-62 49-92 2-83 49-91 3-05 M Dep. Lat. Dep. Lat. Dep. Lat. 87] lEG. 86J Deg. 86k Deg. 3| Deg. 1-00 2-00 2-99 3-99 4-99 5-99 6-99 7-98 8-98 9-98 10-98 11-97 12-97 13-97 14-97 15-97 16-96 17-96 18-96 19-96 20-96 21-95 22-95 23-95 24-95 25-94 26-94 27-94 28-94 29-94 30-93 31-93 32-93 33-93 34-92 35-92 36-92 37-92 38-92 39-91 40-91 41-91 42-91 43-91 44-90 45-90 46-90 47-90 48-90 49-89 Dep. S6i Deg. TRAVERSE TABLE. I 51' 3 Deg. 3i Deg. 3^ Deg. 3i Deg. Lat. 50-93 Dep. La. Dep. Lat. Dep. Lat. Dep. 2-67 50-92* 2-89 50-90 3-11 50-89 3-34 51 '( 52 51-93 2-72 51-92 2-95 51-90 3-17 51-89 3-40 52 ( 53 52-93 2-77 52-91 3-00 52-90 3-24 5-2-89 3-47 53 ( 54 53-93 2-83 53-91 306 53-90 3-30 53-88 3-53 54 ( ( 55 54-92 2-88 5ii)l 3-12 54-90 3-36 54-88 3-60 55 ( ( 56 55-92 2-93 55-91 3-17 55-90 3-42 55-88 3-66 56 ( 57 56-92 2-98 56-91 3-23 56-89 3-48 56-88 3-73 57 I ( 58 57-92 304 57-91 3-29 57-89 3-54 57-88 3-79 58 / ( 59 58-J2 3-U9 58-91 334 58-89 3-60 58-87 3-86 59 I 60 69-92 314 59-90 3-40 59-89 3-66 59-87 3-92 60 ( 61 60-92 3-19 60-90 3-46 60-89 3-72 60-87 3-99 ( 61 ( ( 62 61-92 3-24 61-90 3-51 61-88 3-79 61-87 4-05 62 / ( 63 62-91 3-30 62-90 3-57 62-88 3-85 62-87 4-12 63 / I 64 63-91 3-35 63-90 3-63 63-88 3-91 63-86 4-19 64 / ( 65 64-91 3-40 64-90 3-69 64-88 3-97 64-86 4-25 65 ; 66 ? ( 66 65-91 3-45 65-89 3-74 65-88 4-03 65-86 4-32 S *'7 66-91 3-51 66-89 3-80 66-88 4-09 66-86 4-38 67 I I 68 6'*'-91 3-56 67-89 3-86 67-87 4-15 67-85 4-45 68 ( 69 I ( 61) 68-91 3-61 68-89 3-91 68-87 4-21 68-85 4-51 j 70 69-90 3-66 69-89 3-97 69-87 4-27 69-85 4-58 70 ( ( 71 70-90 3-72 70-89 4-03 70-87 4-33 70-85 4-64 ( 71 / < 72 71-90 3-77 71-88 4-08 71-87 4-40 71-85 4-71 72 I . 73 72-90 3-82 72-88 4-14 72-86 4-46 72-84 4-77 73 { 74 73-90 3-87 73-88 4-20 73-86 4-52 73-84 4-84 74 ( ( 75 74-90 3-93 74-88 4-25 74-86 4-58 74-84 4-91 75w' j 76 75-90 3-98 75-88 4-31 75-86 4-64 75-84 4-97 76 ; 76-89 403 76-88 4-37 76-86 4-70 76-84 5-04 77 ; / 78 77-89 4-08 77-87 4-42 77-85 4-76 77-83 5-10 78 } I 79 78-89 4-13 78-87 4-48 78-85 ■ 4-82 •78-83 5-17 79 / ( 80 79-89 4-19 79-87 4-54 79-85 4-88 79-83 5-23 80 f S 81 80-89 4-24 80-87 4-59 80-85 4-94 80-83 5-30 81 / ( 82 81-89 4-29 81-87 4-65 81-85 5-01 81-82 5-36 82 ( 83 82-89 4-34 82-87 4-71 82-85 5-07 82-82 5-43 83 { 84 83-88 4-40 83-86 4-76 83-84 5-13 83-82 5-49 84 ( 85 84-88 4-45 84-86 4-82 84-84 5-19 84-82 5-56 85 86 85-88 4-50 85-86 4-88 85-84 5-25 85-82 5-62 86 87 88 89 90 i 87 86-88 4-55 86-86 4-93 86-84 5-31 86-81 5-69 88 87-88 4-61 87-86 4-99 87-84 5-37 87-81 5-76 89 83-88 4-66 88-86 5-05 88-83 5-43 88-81 5-82 90 89-88 4-71 89-86 5-10 89-83 5-49 89-81 5-89 91 90-88 4-76 90-85 5-16 90-83 5-56 90-81 5-95 91 ( 92 93 ^ 92 91-87 4-81 91-85 5-22 91-83 5-62 91-80 6-02 ( 93 92-87 4-87 92-85 ■ 5-27 92-83 5-68 92-80 6-08 ( 94 93-87 ■ 4-92 93-85 5-33 93-82 5-74 93-80 6-15 94 95 94-87 4-97 94-85 5-39 94-82 5-80 94-80 • 6-21 95 96 96 95-87 5-02 95-85 5-44 95-82 5-86 95-79 6-28 97 96-87 5-08 96-84 5-50 96-82 5-92 96-79 6-:m 97 ( 98 97-87 5-13 97-84 5-56 97-82 5-98 97-79 6-41 98 ' ( 99 98-86 5-18 98-84 5-61 98-82 6-04 98-79 6-47- 99 '; (100 \i 99-86 i Dep. 5-23 Lat. 99-84 5-67 99-81 6-10 99-79 6-54 100 , Dep. Lat. Dep. Lat. Dep. Lat. Y 87] •)EG. 861 Deg. 86i Deg. 86i Deg. 80 E TABLE. s 4 D EG. 4i Deg. i Lat. Dep. Lat. Dep. 1 ICO 0-07 1-00 0-07 2-00 0-14 1-99 0-15 3 2-99 0-21 2-99 0-22 4 3-99 0-28 3-99 0-30 5 4-99 0-35 4-99 0-37 G 5-99 0-42 5-98 0-44 7 t)-98 0-49 6-98 0-52 8 7-98 0-56 7-98 0-59 i> 8-98 0-G3 8-98 0-67 10 9-98 0-70 9-97 0-74 11 10-97 0-77 10-97 0-82 Jr2 11-97 0-84 11-97 0-89 13 12-97 0-91 12-96 0-96 14 13-97 0-98 13-90 1-04 15 14-90 1-05 14-98 1-11 JG 15-96 1-12 15-90 1-19 17 lG-90 1-19 16-95 1-26 IS 17-90 1-26 17-95 1-33 19 18-95 1-33 18-95 1-40 •20 19-95 1-40 19-95 1-48 21 20-95 l-4'o 20-94 1-.56 -ii 21-95 1-53 21-94 1-63 23 22-94 100 22-94 1-70 24 23-94 1-67 23-93 1-78 25 24-94 1-74 24-93 1-85 26 25-94 1-81 25-93 1-93 27 20-93 1-88 26-93 2-00 28 27-93 1-95 27-92 2-08 2y 28-93 2-02 28-92 2-15 30 29-93 2-09 29-ir2 2-22 31 30-92 2-16 30-91 2-30 32 31-92 2-23 31-91 2-37 33 32-92 2-30 32-91 2-45 34 33-92 2-37 33-91 2-52 35 34-91 2-44 34-90 2-59 36 35-91 2-51 35-90 2-C7 37 30-91 2-58 36-90 2-74 i 38 37-91 2-65 37-90 2-82 ! 39 38-90 2-72 38-89 2-89 40 39-90 2-79 39-89 2-96 41 40-90 2-86 40-89 3-04 42 41-90 2-93 41-88 3-11 43 42-90 3-00 42-88 3-19 44 43-89 3-07 43-88 3-26 45 44-89 3-14 44-88 3-33 40 45-89 3-21 45-87 ^ 3-41 47 4G-H9 3-28 40-87 3-48 48 47-88 . 3-35 47-87 3-56 49 48-83 3-42 48-87 3-63 50 49-83 3-49 49-86 3-71 i Dep. Lilt. Dep. L.t_ 1 s 85 HECf. 85f Dkg. 4i Deg. 1-00 1-99 2-99 3-99 4-98 5-98 6-98 7-98 8-97 9-97 10-97 11-96 12-96 13-96 14-95 15-95 16-95 17-94 18-94 19-94 20-94 21-93 22-93 23-9:3 24-92 25-92 26-92 ! 27-91 j 28-91 29-91 30-5K) 31-90 ! 32-90 33-9!) ! 34-89 j 35-89 36-89 37-88 I 38-88 ! 39-88 j 40-87 41-87 42-87 43-86 44-86 45-86 46-86 47-85 48-85 49-85 Dep. Dep. 0-08 0-16 0-24 0-31 0;39 0-47 0-55 0-63 0-71 0-78 0-86 0-94 1-02 1-10 1-18 1-26 1-33 1-41 1-49 1-57 1-65 1-73 1-80 1-88 1-96 2-04 2-12 2-20 -2-28 2-35 2-43 2-51 2-59 2-67 2-75 2-82 2-90 I 2-98 I 3-06 3-14 8--22 3-3(» 3-37 3-45 3-53 3-61 3-69 3-77 3-84 3-92 4i Deg. | C i 1 I ( Dep. S ( 1-00 1-99 2-99 3-98 4-98 5-98 6-97 7-97 8-97 9-97 10-96 11-96 12-96 13-95 14-95 15-95 16-94 17-94 18-93 19-93 20-93 21-92 22-92 23-92 24-91 25-91 26-91 27-90 28-90 29-90 30-89 31-89 32-89 33-8S 34-88 0-08 0-17 0-25 0-33 0-41 0-50 0-58 0-66 0-75 0-83 0-91 0-99 1-08 1-10 1-24 1-32 1-41 1-49' 1-57 1-66 1.74 1-82 1-90 1-99 2-07 2-15 2-24 2-32 2-40 2-48 2-73 2-82 2-90 :i5-88 2 36-87 37-87 38-87 39-86 40-86 41-80 42-85 43-85 44-85 45-84 46-84 47-84 48-83 49-83 Dep. 3-06 3-15 3-23 3-31 3-40 3-48 3.56 3-64 3-73 3-81 3-89 3-97 4-06 4-14 85i Deg. TRAVERSE TABLE. 81 2 s s • 4Deg. 4ii: K«. U Deg. 4J Deg. 5 } ~ ) M Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50-88 3-56 50-86 3-78 50-84 4-00 50-82 4-22 51) 52 51-87 3-63 51-86 3-85 51-84 4-08 .51-82 4-31 52 ) 53 5-2-87 3-70 52-85 3-93 52-84 , 4-16 52-82 4-39 53 ) 54 53-87 3-77 53-85 4-00 53-83 4-24 53-81 4-47 54 ) 55 54-87 3-84 54-8.5 4-08 54-83 4-32 54-81 4-55 55 ) 56 55-86 3-91 55-85 4-15 .55-83 4-39 55-81 4-64 56 ) 57 56-86 3-98 50-84 4-22 56-82 4-47 56-80 4-72 57 , 58 57-86 4-05 57-84 4-30 57-82 4-55 57-80 4-80 58 ) ( 59- 58-86 412 58-84 4-37 58-82 4-63 58-80 4-89 59 I 60 59-85 4-19 59-84 4-45 59-e2 4-71 59-79 4-97 60 ) \ 61 60-85 4-26 60-83 4-52 60-81 4-79 60-79 5-05 61 ( 62 61-85 4-32 61-83 4-59 61-81 4-86 61-79 5-13 62 63 ( 63 62-a5 4-39 62-83 4-67 1 62-81 4-94 62-78 5-22 ( 64 63-84 4-46 63-82 4-74 63-80 5-02 63-78 .5-30 64 ) ( 65 64-84 4-53 64-82 4-82 &1-80 5-10 64-78 5-38 65 ; , 66 65-84 4-60 65-82 4-89 65-80 5-18 65-77 5-47 66 ) 67 66-84 4-67 66-82 4-97 66-79 5-26 66-77 5-55 67 ) 68 67-83 4-74 67-81 5-04 67-79 5-34 67-77 5-63 68 69 68-83 4-81 68-81 5-11 68-79 5-41 68-76 .5-71 69 } 70 70 69-83 4-88 69-81 5-19 69-78 5-49 69-76 5-80 71 70-83 4-95 70-80 5-26 70-78 5-57 70-76 5-88 71' 71-82 5-02 71-80 5-34 71-78 5-65 71-75 5-96 72 ^ 73 72-82 5-09 72-80 5-41 72-77 5-73 72-75 6-04 III ' 74 73-82 5-16 73-80 5-48 73-77 5-81 73-75 6-13 75 74-82 5-23 74-79 5-56 74-77 5-88 74-74 6-21 75 / 76 75-81 5-30 75-79 5-03 75-77 5-96 75-74 6-29 76 > 77 76-81 5-37 76-79 5-71 76-76 6-04 76-74 6-38 77 > 78 77-81 5-44 77-79 5-78 77-76 6-12 77-73 6-46 78 { 79 78-81 5-51 78-78 5-85 78-76 6-20 78-73 6-54 79 80 79-81 5-58 79-78 5-93 79-75 6-28 79-73 6-62 80 ' 81 80-80 5-65 80-78 6-00 80-75 6-36 80-72 6-71 81 ' > 82 81-80 5-72 81-78 6-08 81-75 6-43 81-72 6-79 82 ' ' 83 82-80 5-79 82-77 615 82-74 6-51 8-2-71 6-87 83 H4 83-80 5-86 83-77 6-23 83-74 6-59 83-71 6-96 84 ^ 85 84-79 5-93 84-77 6-30 84-74 6-67 84-71 7-04 85 ' 86 85-79 600 85-76 6-37 85-73 6-75 85-70 7-12 86 ' 87 86-79 6-07 86-76 6-45 86-73 6-83 86-70 7-20 87 ■ 88 87-79 6-14 87-76 6-52 87-73 6-90 87-70 7-29, 88 '' 89 88-78 6-21 88-76 6-60 88-73 6-98 88-70 7-37 89 ^ 90 89-78 6-28 89-75 6-67 89-72 7-06 89-69 7-45 90) 91 90-78 6-35 90-75 6-74 90-72 7-14 90 09 7-.54 91 { ' 92 91-78 6-42 91-75 6-82 91-72 7-22 91-68 7-62 92 ( ' 93 92-77 6-49 92-74 6-89 9-2-71 7-30 92-68 7-70 93 / 94 93-77 6-56 93-74 6-97 93-71 7-38 93-68 7-78 94 95 ) 96 94-77 6-63 94-74 7-04 94-71 7-45 94-67 7-87 95 90 97 98 95-77 6-70 95-74 7-11 95-70 7-53 95-67 7-95 97 96-76 6-77 96-73 7-19 96-70 7-61 96 67 8-03 98 97-76 6-84 97-73 7-26 97-70 7-69 97-66 8-12 99 98-76 6-91 98-73 7-34 98-69 . 7-77 98-66 8-20 99 100 99-76 6-98 99-73 7.41 99-69 7-85 99-66 8-28 100 Dep. Lat. Dep. LaU Dep. LaU Dep. Lat. L 86 Deg. 85i ] Deg. 85i Dkq. 85i Deg. 82 TRAVERSE TABLE. < 1 5 Deo. 5^ Deg. ^ Deg. 5^ Deg. : ^ Lat. Dep. Lat. Dep. Lat. Dep. Lat. -.,,. ^ 1 1-00 0-09 1-00 0-09 1-00 0-10 0-99 0-10 2 1-99 0-17 1-99 0-18 1-99 019 1-99 0-20 3 2-99 U-25 2-99 . 0-27 2-99 0-29 2-98 0-30 4 3-98 0-35 3-98 0-37 3-98 0-38 3-98 0-40 5 4-98 0-44 4-98 0-46 4-98 0-48 4-97 0-50 6 5-98 52 5-97 0-55 5-97 0-58 5-97 0-60 7 6-97 0-61 6-97 0-64 6-97 0-67 6-86 0-70 8 7-97 0-70 7-97 0-73 7-96 0-76 7-96 0-80 9 8-97 0-78 8-96 0-82 8-96 0-86 8-95 0-90 10 9-90 0-87 9-96 0*92 9-95 0-96 9-95 1-00 11 10-96 0-96 10-95 1-01 10-95 1-05 10-94 1-10 12 11-95 1-05 11-95 1-10 11-94 1-15 11-94 1-20 13 12-95 ]-I3 12-95 1-19 12-94 1-25 12-93 1-SO 14 13-95 1-22 13-94 1-28 13-94 1-34 13-93 1-40 15 14-94 1-31 14-94 1-37 14-93 1-44 14-92 1-50 16 15-94 , 1-39 15-93 1-46 15-93 1-53 15-92 1-60 17 16-94 1-48 16-93 1-56 16-92 1-63 16-91 1-70 18 17-93 1-57 17-92 1-65 17-92 1-73 17-91 1-80 19 18-93 1-66 18-92 1-74 18-91 1-82 18-90 1-90 20 19-92 1-74 19-92 1-83 19-91 1-92 19-99 2-00 21 20-92 1-83 20-91 1-92 20-90 201 20-89 2-10 22 21-92 1-92 21-91 2-01 21-90 2-11 21-89 2-20 23 22-91 2-00 22-90 2-10 22-89 2-20 22-88 2-30 24 23-91 2-09 23-90 2-20 23-89 2-30 23-88 2-40 25 24-90 2-18 24-90 2-29 24-88 2-40 24-87 2-50 26 25-90 2-27 25-89 2-38 25-88 2-49 25-87 2-60 27 26-90 2-35 26-89 2-47 26-8^ 2-59 2('-86 2-71 28 27-89 2-44 27-88 2-56 27-87 2-68 27-86 2-81 29 28-89 2-53 28-88 2-65 28-87 2-78 28-85 2-91 30 29-89 2-61 29-87 2-75 29-86 2-88 2-9-85 3-01 31 30-88 2-70 30-87 2-84 30-86 2-97 30-84 3-11 32 3J -88 2-79 31-87 2-93 31-85 307 31-84 3-21 33 32-87 2-88 3-:2-86 3-fJ2 32-85 3-16 32-83 3-31 34 33-87 2-96 33-86 3-11 33-84 3-26 33-83 341 35 34-87 3-05 34-85 3-20 34-84 3-35 34-82 3-51 36 35-86 3-14 35-85 3-29 35-83 3-45 35-82 3-61 37 36-86 3-22 36-84 3-39 36-83 3-55 36-81 3-71 38 37-86 3-31 37-84 3-48 37-83 3-64 37-81 3-81 39 38-85 3-40 38-84 3-57 38-82 3-74 38-80 3-91 40 39-85 3-49 39-83 3-66 39-82 3-83 39-80 4-01 41 40-84 3-57 40-83 3-75 40-81 3-93 40-79 4-11 42 41-84 3-66 41-82 3-84 41-81 4-03 41-79 4-21 43 42 84 3-75 42-82 3-93 42-80 4-12 42-78 4-31 44 43-83 3-83 43-82 403 43-80 4-22 43-78 4-41 45 44-83 3-92 44-81 4-12 44-79 4-31 44-77 4-51 46 45-82 4-01 45-81 4-21 45-79 4-41 45-77 4-61 47 46-82 4-10 46-80 4-30 46-78 4-.50 46-76 4-71 48 47-82 4-18 47-80 4-39 47-78 4-60 47-76 4-81 49 48-81 4-27 48-79 4-48 48-77 4-70 48-75 4-91 50 49-81 4-36 49-79 4-58 49-77 4-79 49-75 5-01 i Dpp. Lat. Dep. Lnt. Dep. Lat. Dep. Lat. 1 85 D BG. 84JD EG. 84A- r EG. 84jr EG. TRAVERSE TABLE. 83 5 Des. 5^ Deg. 5.t E 1 EG. 5J Deg. - I Lat. Dep. Lat. Dep. Lau 1 Dep. Lat. Dep. bl 50-81 . 4-44 50-79 4-67 .50-77 : 4-89 .50-74 .5-11 51 1 5-2 51-80 4-53 51-78 4-76 51-76 , 4-93 51-74 5-21 52 ) 53 52-80 4-62 52-78 4-85 5-2-76 ; 5-OS 52-73 5-31 53 54 ) 54 53-79 4-71 53-77 4-94 53-75 5-18 53-73 .5'41 55 54-79 4-79 54-77 5-03 54-75 ; 5-27 54-72 5-51 55 ) 5(5 55-79 4-88 5.5-77 5-12 55-54 : 5-37 55-72 5-61 56 ) 57 56-78 4-97 56-76 5-22 56-74 1 5-46 56-71 5-71 57 ) 58 57-78 5-06 57-76 5-31 57-73 5.56 57-71 5-81 58 ) 59 58-78 5-14 58-75 5-40 58-73 5-65 58-70 5-91 59 GO 59-77 5-23 59-75 5-49 59-72 5-75 59-70 6-01 60 CI 60-77 5-32 60-74 5-58 60-72 5-85 60-69 6-11 61 ca 61-76 5-40 61-74 5-67 Gl-71 5-94 61-69 6-21 62 63 62-76 5-49 62-74 5-76 62-71 6-04 62-68 6-31 63 C4 63-76 5-58 63-73 5-86 6.3-71 6-13 63-68 6-41 64 ) 65 64-75 5-07 64-73 5-95 64-70 6-23 64 67 6-51 65 ) 66 65-75 5-75 65-72 604 65-70 6-33 65-67 6-61 66 ) 67 66-75 5-84 66-72 6-13 66-69 6-42 66-66 6-71 67 ) 68 67-74 5-93 67-71 6-22 67-69 6-52 67-66 6-81 68 ) 69 68-74 6-01 68-71 6-31 68-68 6-61 68-65 6-91 69 / 70 1 69-73 6-10 69-71 6-41 69-68 6-71 69-65 7-01 70 ) / 71 70-73 6-T9 70-70 6-50 70-67 6-81 70-64 7-11 71 - 72 71-73 6-28 71-70 6-59 71-67 6-90 71-64 7-21 72 ' 73 72-72 6-36 72-69 6-68 72-66 7-00 72-63 7-31 73 1 74 73-72 6-45 73-69 6-77 73-66 7-09 73-63 7-41 74 ' 75 74-71 6-54 74-69 6-86 74-65 719 74-62 7-51 75 '• ' 76 75-71 6-62 7.5-68 6-95 75 65 7-28 75-62 7-61 76 ^ 77 76-71 6-71 76-68 7-05 76-65 7-38 76-61 7-71 77 78 77-70 6-80 77-67 7-14 77-64 7-48 77-61 7-81 78 79 78-70 6-89 78-67 7-23 78-(i4 7-57 '78-60 7-91 79 . 80 79-70 6-97 79-66 7-32 79-63 7-67 79-60 8-02 80 ' 81 80-69 7-06 80-66 7-41 80-63 7-76 80-59 8-12 81 ) 82 81-69 7-15 81-66 7-.50 81-62 7-86 81-59 8-22 82 - 83 82-68 7-23 82-65 7-59 82-(52 7-96 82-58 8-32 83 84 83-68 7-32 83-65 7-69 83-61 8-05 8S-.58 8-42 84 85 84-68 7-41 84-64 7-78 84-61 8-15 84-57 8-.52 85 86 85-67 7-50 85-64 7-87 8.5-60 8-24 85-57 8-62 86 87 86-67 7-58 86-6-1 7-96 86-60 8-34 86-56 8-72 87 ' 88 87-67 7-67 87-63 8-05- 87-59 8-43 87-56 8-82 88 89 88-66 7-76 88-63 8-14 88-59 8-53 88-55 8-92 89 90 89-66 7-84 89-62 8-24 89-59 8-63 89-55 9-(Q 90 91 90-65 7-93 90-62 8-33 90-.58 8-72 90-54 9-12 91 : 92 91-65 8-02 91-61 8-42 91-58 8-82 91-54 9-22 92 , y:> 92-65 8-11 92-61 8-51 92-57 8-91 92-53 9-32 93 / 94 93-64 1 8-19 93-61 8-60 93-57 9-01 93-53 9-42 94 ) 95 94-64 1 8-28 94-60 8-69 94-56 9-11 94-.52 9-52 95 ) 96 95-63 8-37 95-60 8-78 95-.>6 9-20 95-52 9-62 96 ) 97 96-63 1 8-45 90-59 8-88 96-55 9-30 96-51 9-72 97 ) 98 97-63 j 8-54 97-59 8-97 97 55 9-39 07-51 9-82 98 99 98-62 1 8-63 98-59 9-06 98-54 9-49 98-50 9:92 99 hoc 99-62 1 8-72, 99-58 9-15 99-54 9-.58 99-50 10-02 100 Dep. 1 ... Dep. Lat. Dep. Lr.t. Drp. Lat. i 85 Deg. 84| Deg. Pli Deg. 84J Deg. 1 1 84 TRAVERSE TABLE. r? 6 Deg. 6i Deg. 6^ Deg. 6| Deg. f P "7; f i Lat. Uep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-99 0-10 0-99 0-11 0-99 0-11 0-99 0-12 / 2 1-99 0-21 1-99 0-22 1-99 0-23 1-99 (!-24 3 } 3 3^93 0-31 2-98 0-33 2-98 0-34 2-98 0-33 / 4 3-98 0-41 3-98 0-44 3-97 0-45 3-97 0-47 4 I 5 4-97 0-52 4-97 0-54 4-97 0-57 4-97 0-59 5 ( 6 5-97 0-63 5-96 i)-65 5-96 0-68 5-96 0-71 6 J 7 6-9{) 0-73 6-96 0-76 6-96 0-79 6-95 0-82 "1 / 8 7-96 0-84 7-95 0-87 7-95 0-91 7-94 0-94 I- 9 8-95 0-94 8-95 0-98 8-94 1-02 8-94 1-06 / 10 1" 9-95 1-05 9-94 1-09 9-94 1-13 9-93 1-18 10-94 1-15 10-93 1-20 10-93 1-25 10-92 1-29 ri 11-93 1-25 11-93 1-31 11-92 1-36 11-92 1-41 12 ^ w 12-93 1-36 12-92 1-42 12-92 1-47 12-91 1-53 13 ; 14 ) 15 13-92 1-46 13-92 1-52 13-91 1-59 13-90 1-65 14 15 16 17 18 19 20 14-92 1-57 14-91 1-63 14-90 1-70 14-90 1-76 ( 1^ 15-91 1-67 15-90 1-74 15-90 1-81 15-89 1-88 17 lG-91 1-78 16-90 1-85 16-89 1-92 16-88 2-00 / 1« 17-90 1-88 17-89 1-96 17-88 2-04 17-88 2-12 y 19 r 21 18-90 1-99 18-89 2-07 18-88 2-15 18-87 2-23 19-89 2-09 19-88 2-18 19-87 2-26 19-86 2-35 20-88 2-20 20-88 2-29 20-87 2-38 20-85 2-47 21 ) 22 21-88 2-30 21-87 2-40 21-86 2-49 21-85 2-59 22 ) 23 22-87 2-40 22-86 2-50 22-85 2-60 22-84 2-70 23 ) 24 23-87 2-51 23-86 2-61 23-85 2-72 23-83 2-82 24 25 ; 25 2G 27 24-86 2-61 24-85 2-72 24-84 2-83 24-83 2-94 25-80 2-72 25-85 2-83 25-83 2-94 25-82 3-06 26 20-85 2-82 26-84 2-94 26-83 3-06 26-81 3-17 27 28 . 28 27-85 2-93 27-83 3-05 27-82 3-17 27-81 3-29 2J 28-84 3-03 28-83 3-16 28-81 3-28 28-80 ■ 3-41 29 30 ^30 29-84 314 29-82 3-27 29-81 3-40 29-79 3-53 ^ •?, 30-83 3-24 30-82 3-37 30-80 3-51 30-79 3-64 31 ; 32 31-82 3-34 31-81 3-48 31-79 3-02 31-78 3-76 32 33 32-82 3-45 32-80 3-59 32-79 3-74 32-77 3-88 33 \ 34 33-81 3-55 33-80 3-70 33-78 3-85 33-76 4-OJ 34 ) 35 34-81 3-66 34-79 3-81 34-78 3-96 34-76 4-11 35 ) 3(5 35-80 3-76 35-79 3-92 35-77 4-08 35-75 4-23 36 ) 37 36-80 3-87 36-78 4-03 36-76 4-19 36-75 4-35 37 , 38 -37-79 3-97 37-77 4-14 37-76 4-30 37-74 4-47 38 ) 39' 40 1 39 38-79 4-08 38-77 4-25 38-75 4-41 38-73 4-58 40 3;)-78 4-18 39-76 4-35 39-74 4-53 39;72 4-70 41 40-78 4-29 40-76 4-46 40-74 4-64 40-72 4-82 41 42 41-77 4-39 41-75 '4-57 1 41-73 4-76 41-71 4-94 42 f, 42-76 4-49 42-74 4-68 42-72 4-87 42-70 5-05 43 ) 44 43-76 4-60 43-74 4-79 43-72 4-98 43-70 5-17 44 ) 45 44-75 4-70 44-73 4-90 44-71 5-09 44-69 5-29 45 ) 40 45-75 4-81 45-73 5-01 45-70 ' 521 45-68 5-41 46 } !I 46-74 4-91 46-72 5-12 46-70 5.32 46-67 5-52 ^' C 48 47-74 5-02 47-71 5-23 47-69 ; 5-43 47-67 5-64 48 ; 49 48-73 5-12 48-71 5-34 48-69 i 5-55 48-66 5-76 49 ) 50 49-73 5-23 49-70 5-44 49-68 5-66 49-65 5-88 . i Dep. Lat. 0ep. Lat. Dep. Lat. Dep. Lat. i^ ( s c 84 I )eg. 831 ] Deg. 83^] Deg. 83i ] Deg. 1 TRAVERSE TABLE. 85 Deg. Dep. 50-7'2 51-72 52-71 53-70 54-70 55-09 5(j-a9 57-68 58-68 59-67 60-67 61-66 62-65 63-65 64-64 65-b4 66-63 67-63 68-62 69-62 70-61 71-61 72-60 73-59 74-59 75-58 76-58 77-57 78-57 79-56 80.56 81-55 82-55 83-54 84-53 85-53 86-52 87-52 88-51 89-51 90-50 91-50 92-49 93-49 94-48 95-47 96-47 97-46 98-46 99-45 Dep. 5-33 5-44 5-54 5-64 5-75 5-85 5-96 6-06 6-17 6-38 6-48 6-59 6-69 6-79 6-90 7-00 7-11 7-21 7-32 7-42 753 7-63 7-74 7-84 7-94 8-05 8-15 8-26 8-36 8-47 8-57 8-68 8-78 8-88 8-99 9-09 9-2U 9-30 9-41 9-51 902 9-72 9-83 9-93 10-03 10-14 10-24 10-35 10-45 84 Deg, Deg. .... Dep. 50-70 5-55 51-69 5-66 52-68 5-77 53-68 5-88 54-67 5-99 55-67 6-10 50-66 6-21 57-66 6-31 58-65 6-42 59-64 6-53 60-64 6-64 61-63 6-75 62-63 6-86 63-62 6-97 64-61 7-08 65-61 7-19 66-60 7-29 67-60 7-40 68-59 7-51 69-58 7-62 70-58 7-73 71-57 7-84 72-57 7-95 73-56 8-U6 74-55 8-17 75-55 8-27 76-54 8-38 77-54 8-49 78-53 8-60 79-53 8-71 80-52 8-82 81-51 8-93 82-51 904 83-50 9-14 84-50 9-25 85-49 9-36 86-48 9-47 87-48 9-58 88-47 9-69 89-47 9-80 98-46 9-91 91-45 10-02 92-45 10-12 93-44 10-23 94-44 10-34 95-43 10-45 96-42 10-56 97-42 10-67 98-41 10-78 99-41 10-89 Dep. Lat, 83a Deg. ■i Deg. 50-67 51-67 52-66 53-65 54-65 55-64 56-63 57-63 58-02 59-61 60-61 61-60 62-60 63-59 64-58 65-58 66-57 67-56 68-56 69-55 70-54 71-54 72-53 73-52 74-52 75-51 76-51 77-50 78-49 79-49 80-48 81-47 82-47 83-46 84-45 85-45 8(;-44 87-43 88-43 90-42 91-41 92-40 93-40 94-39 95-38 96-38 97-37 98-36 99-36 Dep. Dep. 5-77 5-89 6-00 6-11 6-23 6-34 6-45 6-57 6-08 6-79 6-91 7-02 7-13 7-25 7-36 7-47 7-58 7-70 7-81 7-92 8-04 •8-15 8-26 8-38 8-49 8-60 8-72 8-83 8-94 9-17 9-28 9-40 9-51 9-62 9-74 9-85 9-96 10-G8 10-19 10-30 10-41 10-53 10-64 10-75 10-87 10-98 11-09 11-21 11-32 &% Deg. 50-65 51-64 52-63 53-63 54-62 55-61 56-60 57-60 58-59 59-58 60-58 61-57 62-56 63-56 64-55 65-54 66-54 67-53 68-52 69-51 70-51 71-50 72-49 73-49 74-48 75-47 76-47 77-46 78-45 79-45 80-44 81-43 82-42 83-42 84-41 85-40 86-40 87-39 88-38 89-38 90-37 91-36 92-36 93-35 94-34 95-33 96-33 97-32 98-31 99-31 Dep. Dep. 5-99 611 6-23 6-35 6-46 6-58 6-70 6-82 6-93 7-05 7-17 7-29 7-40 7-52 7-64 7-76 7-88 7-99 8-11 8-23 8-35 8-46 8-58 8-70 8-82 8-93 9-05 917 9-29 9-40 9-52 9-64 9-76 9-87 9-99 10-11 10-23 10-34 10-46 10-58 10-70 10-81 10-93 11-05 1117 11-28 11-40 11-52 11-64 11-75 83i Deg. 86 TRAVERSE TABLE. 7 Deg. 7.1 Deg. 7i Deg. 1% Deg. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 2 3 0-99 0.12 C-99 0-13 0-99 0-13 9D 0-13 1-99 0-24 1-98 0-25 1-98 0-26 1-98 0-27 2-98 0-o7 2-98 0-38 2-y7 0-39 2-97 0-40 ' 4 3-97 0-49 397 0-50 3-97 0-.52 3-96 0-54 / 5 4-96 0-61 4-9!J 0-63 4-96 0-65 4-95 0-67 6 5-96 0-73 5-95 0-76 5-95 0-78 5-95 0-81 / 7 6-95 0-85 0-94 0-88 6-94 0-91 6-94 0-94 ( 8 7-94 0-97 7-94 101 7-93 1-04 1 7-93 1-08 { ^ 8-d3 1-10 8-93 1-14 8-92 1-17 8-02 1-21 10 ) 9-93 1-22 9-92 1-26 9-91 1-31 9-91 1-35 11 10-92 1-34 10-91 1-39 10-91 1-44 10-90 1-48 ( 1~ 11-91 1-46 11-90 1-51 11-90 1-57 11-89 1-62 13 12-90 1-58 12-!)0 1-64 12-89 1-70 12-88 1-75 14 13-90 1-71 13-89 1-77 13-88 1-83 13-87 1-89 15 14-89 183 14-88 1-89 14-87 1-96 14-86 202 16 15-88 1-95 1.5-87 2-02 15-86 2-09 15-85 2-16 17 16-87 2-07 16-86 2-15 16-85 2-22 16-84 2-29 18 17-87 219 17-86 0.07 17-85 2-35 17-84 2-43 ) 19 18-86 2-32 18-85 2-40 18-84 2-48 18-83 2-56 ) 20 19-85 2-44 1984 2-52 19-83 2-61 ^9-82 2-70 ) 21 20-84 2-56 2a-83 2-65 20-82 2-74 20-81 2-83 ) 22 21-84 2-68 21-82 2-78 21-81 2-87 21-80 2-97 23 22-83 2-80 22-82 2-90 22-80 3-00 22-79 3-10 24 23-82 2-92 23-81 3-03 23-79 3-13 23-78 3-24 ) 25 24-81 3-05 24-80 315 24-79 3-26 24-77 S-37 20 25-81 3-17 2579 3-28 2.5-78 3-39 25-76 3-51 27 26-80 3-29 2(i-78 3-41 26-77 3-52 26-75 3-64 28 27-79 3-41 27-78 3-53 27-76 3-65 27-74 3-78 29 28-78 3-53 28-77 3-66 28-75 3-79 28-74 3-91 30 29-78 3-66 29-76 3-79 29-74 3-92 2J-73 4-05 31 30-77 3-78 30-75 3-91 30-73 4-05 30-72 4-18 32 31-76 3-90 31-74 4-04 31-73 4-18 31-71 4-32 33 32-75 4-02 32-74 4-16 32-72 4-31 32-70 4-45 34 33-75 4-14 33-73 4-29 33-71 4-44 33-09 4-58 35 34-74 4-27 34-72 4-42 34-70 4-57 34-68 4-72 36 35-73 4-30 35-71 4-54 35-69 4-70 35-67 4-85 37 3()-72 4-51 36-70 4-67 36-68 4-83 36-66 4-y9 38 37-72 4-63 37 70 4-80 37-67 4-96 37-(;5 5-12 39 38-71 4-75 38-69 4-92 38-67 509 38-64 5-2v) 40 39-70 4-87 39-68 5-05 39-66 5-22 39-03 5-39 41 40-70 5-00 40-67 5-17 40-65 5-35 40-63 5-53 42 41-69 5-12 41-66 5-30 41-64 5-48 41-62 5-66 43 42-68 5-24 42-6(> 5-43 4263 5-61 42-61 5-80 44 43-67 5-36 43-65 5*55 43-62 5-74 43-60 5-93 45 44-67 5-48 44-64 5-68 44-62 5-87 44-59 6-07 46 45-66 5-61 45-63 5-81 45-61 6-00 45-.58 6-20 4J 46-65 5-73 46-62 5-93 46-60 6-13 46-57 6-34 48 47-64 5-85 47-62 6-06 47-59 6-27 47-56 6-47 49 48-63 5-97 48-61 6-18 48-.58 6-40 48-55 6-61 50 49-63 6-09 49-60 6-31 49-57 6-53 49-54 6-74 I 5 Q Dep. Lat. Dep. Lau Dep. Lat. Dep. Lat. 83 I )eg. 82^ ] Oeg. 82A I Jeg. 82i I )eg. TRAVERSE TABLE. 7 Deg. / o u^^ 50-62 51-61 5-2-60 53-00 54-59 55-58 5';-58 57-57 58-56 59-55 60-55 61-54 62-53 63-52 64-52 65-51 66-50 67-49 68-49 69-48 70-47 71-46 72-46 73-45 74-44 75-43 76-43 77-42 78-41 70-40 80-40 81-39 82-38 83-37 84-37 85-38 86-35 87-34 88-34 89-33 90-32 91-31 92-31 93-30 94-29 95-28 96-23 97-27 98-26 99-25 Dep. 6-22 6-34 6-40 6-58 6-70 6-82 6-95 7-07 7-19 7-31 7-43 7-56 7-68 7-80 7-92 8-04 8-17 8-29 8-41 8-53 8-65 8-77 8-90 9-02 9-14 9-26 9-38 9-51 9-63 9-75 9-87 9-99 10-12 10-24 10-36 10-48 10-60 10-72 10-85 10-97 11-09 11-21 11-33 11-46 11-58 11-70 11-82 11-94 12-07 1-219 7i Deg. Dep. I 83 Deq. 50-59 51-58 52-58 53-57 54-56 55- 55 56-54 57-54 58-53 59-52 60-51 61-50 62-50 63-49 64-48 65-47 06-46 67-48 68-45 69-44 70-43 71-42 72-42 73-41 74-40 75-39 70-38 77-38 78-37 79-36 80-35 81-34 82-34 83-33 84-^ 85-31 80-3() 87-30 83-29 89-28 90-27 91-^ 92-28 93-25 94-24 95-23 96-22 97-22 98-21 99-20 Dep. Dep. Lat, 6-44 6-56 6-69 6-81 6-94 7-07 7-19 7-32 7-45 7-57 7-70 7-82 7-95 8-08 8-20 8-33 8-46 8-58 8-71 8-83 8-96 9-09 9-21 9-34 9-46 9-59 9-72 9-84 9-97 10-10 10-22 10-35 10-47 10-60 10-73 10-85 10-98 11-11 11-23 11-36 11-48 11-61 11-74 11-86 11-99 12-12 12-24 12-37 12-49 12-62 7^ Deg. 821 Deg. 50-56 5156 52-55 53-.54 54-53 55-52 56-51 57-50 58-50 59-49 60-48 61-47 62-46 63-45 64-44 i)5-44 66-43 67-42 68-41 69-40 70-39 71-38 72-38 73-37 74-36 75-35 76-34 77-33 78-32 79-32 80-31 81-30 »2-29 83-28 84-27 85-26 86-26 87-25 88-24 89-23 90-22 91-21 92-20 93-20 94-19 95-18 96-17 97-16 98-15 99-14 Dep, Dep. 6-66 6-79 6-92 7-05 7-18 7-31 7-44 7-,57 7-70 7-83 8-09 8-22 8-35 8-48 8-61 8-75 8-88 9-01 9-14 9-27 9-40 9-53 9-66 9-79 9-92 10-05 10-18 10-31 10-44 10-57 10-70 10-83 10-96 11-09 11-23 11-36 11-49 11-62 11-75 11-88 12-01 12-14 12-27 12-40 12-53 12-66 12-79 12-92 13-05 7J Deg. Deg. 50-53 51-53 52-52 53-51 54-50 55-49 56-48 57-47 .58-46 59-45 60-44 61-43 62-42 (>3-42 64-41 65-40 66-39 67-38 68-37 69 36 70-35 71-34 72-33 73-32 74-31 75-31 76-30 77-29 78-28 79-27 80-26 81-25 82-24 83-23 84-22 85-21 86-2] 87-20 88-19 89-18 90-17 91-16 92-15 93-14 94-13 95-12 96-11 97-10 98-10 99-09 Dep. 7-01 7-15 7-28 7-42 7-55 7-69 7-82 7-96 8-09 8-23 8-36 8-50 8-63 8-77 8-90 9-04 9-17 9-30 9-44 9-57 9-71 9-84 9-98 10-11 10-25 10-38 10-52 10-65 10-79 10-92 11-06 11-19 11-33 11-46 11-60 11-73 11-87 12-00 12-14 12-27 12-41 12-54 12-68 12 81 12-95 13-08 13-22 13-35 13-49 Depw Lat. 82i Deg. TRAVERSE TABLE. i 8 Deg. 84; Deg, 8h Deg. 8J Deg. 1 i Ldt. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ( 1 0-99 0-14 0-99 014 0-99 0-15 0-99 0-15 2 1-98 0-28 1-98 0-29 1-98 0-30 1-98 0-30 2 S 3 2-97 0-42 2-97 0-43 2-97 0-44 2-97 0-46 3 ( 4 5 3-96 0-56 3-96 0-57 3-96 0-59 3-95 0-61 4 ( 4-95 0-70 4-95 0-72 4-95 0-74 4-94 0-76 5 6 5-94 0-84 5-94 0-86 5-93 0-89 5-93 0-91 6 7 6-93 0-97 6-"y3 1-00 6-92 1-03 6-92 1-06 7 8 7-92 1-11 7-92 1-15 7-91 1-18 7-91 1-22 8 9 8-91 1-25 8-91 1-29 8-90 1-33 8-90 1-37 .1 j 10 9-90 1-39 9-90 1-43 9-89 1-48 9-88 1-52 / 11 10-89 1-53 10-89 1-58 10-88 1-63 10-87 1-67 n! ( 12 11-88 1-67 11-88 1-72 11-87 1-77 11-86 1-83 12 ( / 13 . 12-W 1-81 12-87 1-87 12-86 1-92 12-85 1-98 13 / ( 14 13-86 1-95 13-86 2-01 13-85 2-07 13-84 2-13 14 / ( 15 14-85 2-09 14-85 2-15 14-84 2-22 14-83 2-28 15 / ) 16 15-84 2-23 15-84 2-30 15-82 2-36 15-81 2-43 16 ( I 1'^ 16-83 2-37 16-»3 2-44 16-81 2-51 16-80 2-59 17 / ( 1^ 17-82 2-51 17-81 2-.58 17-80 2-66 17-79 2-74 18 ) ( 19 18-82 2-64 18-80 2-73 18-79 2-81 18-78 2-89 19 / j 20 19-81 2-78 19-79 2-87 19-78 2-96 19-77 2-04 20 / ( 21 20-80 2-92 20-78 3-01 20-77 3-10 20-76 3-19 21 ) / 22 21-79 3-06 21-77 3-16 21-76 3-25 21-74 3-35 22 ) / 23 '22-78 3-20 22-76 3-30 22-75 3-40 22-73 3-.50 23 / 24 23-77 3-34 23-75 3-44 23-74 3-55 23-72 3-65 24 / 25 24-76 3-48 24-74 3-59 24-73 3-70 .24-71 3-80 B ^ 26 25-75 3-62 25-73 3-73 25-71 3-84 25-70 3-96 26 ( 27 26-74 3-76 26-72 3-87 26-70 3-99 26-69 4-11 27 ) 28 27-73 3-90 27-71 4-02 27-69 414 27-67 4-26 28 / 29 28-72 4-04 28 70 4-lQ 28-68 4-29 28-66 4-41 29 j 30 29-71 4-18 29-69 4-30 29-67 4-43. 29-65 4-56 30 31 30-70 4-31 30-68 4-45 30-66 4-58 30-64 4-72 31 32 31-69 4-45 31-67 4-59 31-65 4-73 31-63 4-87 32 33 • 32-68 4-59 32-66 4-74 32-64 4-88' 32-62 5-02 33 • 34 33-67 4-73 33-65 4-88 33-63 - 5-03 33-60 5-17 34 35 34-66 4-87 34-64 5-02 34-62 5-H 34-59 5-32 35 ) 36 35-65 5-01 35-63 5-17 35-60 5-32 35-.58 5-48 36 ) ( 37 36-64 515 36-62 5-31 36-59 5-47 36-57 5-63 37 ) ( 38 37-63 5-29 37-61 5-45 37-58 5-62 .37.56 5-78 38 ) ( 39 38-62 5-43 38-60 5-60 38-57 5-76 38-55 5-93 39 > j 40 39-61 5-57 39-59 5-74 39-56 5-91 39-53 6-08 40 ) 41 40-60 5-71 40-58 5-88 40-55 6-06 40-52 6-24 41 ) 42 41-59 5-85 41-57 6-03 41-54 6-21 41-51 6.39 42 ) 43 42-58 5-98 42.56 617 42-53 6-36 42-50 6.54 43 ) 44 43-57 6-12 43-54 631 43-52 6-50 43-49 6-69 44 ) ( 45 44-56 6-26 44-53 6-46 44-51 6-65 44-48 6-85 45 ) ( 46 45-55 6-40 45-52 6-60 45-49 6-80 45-46 7-00 46 ) ( 47 46-54 6-54 4651 6-74 46-48 6-95 46-45 7-15 47 ) I 48 47-53 6-68 47.50 6-89 47-47 7-09 47-44 7-30 48 ( 49 48-52 6-82 48-49 7-03 48-46 7-24 48-43 7-45 49 j 50 49-51 6-96 49-48 717 49-45 7-39 49-42 7-61 50 u S .2 ' Q i : 1 .2 Q Dep. Lat. Dep. Lat- Dep. Lat. Dep. Lm. 82 Deo. 81^ Deg. 81i Deg. 8H Deg. TRAVERSE TABLE, 89 2 8 Deg. Si Deg. Lat. Dep. Lat. Dep. 51 50-50 7-10 50-47 7-32 52 51-49 7-24 51-46 7-46 53 52-48 7-38 ■ .52-45 7-01 54 53-47 7-52 53-44 7-75 55 54-46 7-65 54-43 7-89 56 55-46 7-79 5.5-42 8-04 57 56-45 7-93 56-41 8-]8 58 57-44 8-07 57-40 8-32 59 58-43 8-21 58-39 8-47 60 59-42 8-35 59-38 8-61 61 60-41 8-49 60-37 8-75 ta 01-40 8-63 61-36 8-90 03 62-39 8-77 62-35 9-04 64 63-38 8-91 63-34 9-18 (i5 64-37 9-05 64-33 9-33 66 65-36 9-19 65-32 9-47 67 66-35 9-32 66-31 9-61 68 67-34 9-40 67-30 9-76 69 68-33 9-60 68-29 9-90 70 69-32 9-74 69-28 10-04 71 70-31 9-88 70-27 10-19 72 71-30 10-02 71-25 10-33 73 72-29 10-10 72-24 10-47 74 73-28 10-30 73-23 10-62 75 74-27 10-44 74-22 10-76 76 75-26 10-58 75-21 10-91 77 7(i-25 10-72 76-20 11-05 78 77-24 10-86 77-19 1119 79 78-23 10-99 78-18 11-34 80 79-22 1113 79-17 11-48 81- 80-21 11-27 80-16 11-62 82 81-20 11-41 81-15 11-77 83 82- J 9 ] 1-55 82-14 11-91 84 83-18 11-69 8313 1205 85 84-17 11-83 84-12 12-20 86 85- IG 11-97 8.5- 11 12-34 87 86-15 12-11 86-10 12-48 83 87-] 4 12-25 87-09 12-63 89 88-13 12-39 88-08 12-77 9!) 89-12 12-53 89-07 12-91 91 90-11 12-66 90-06 13-06 92 91-10 12-80 91-05 13-20 93 92-09 12-94 92-04 13-34 94 93-09 13-08 93-03 13-49 93 94-08 13-22 94-02 13-63 90 95-07 13-36 95-01 13-78 97 96-06 13-50 96-00 13-92 98 97-05 13-64 96-99 14-06 . 99 • 98-04 13-78 97-9-^ 14-21 100 99-03 13-92 98-97 14-35 1 Dep. Lat. Dep. Lat. 1 S 82 I )EG. 81} Deg. 8k L Lat. )eg. Dep. 8} Deg. o ( 51 Lat. Dep. 50-44 7-.54 50-41 7-76 51-43 7-69 51-39 7-91 52 .52 42 7-83 52-38 8-06 53 53-41 7-98 53-37 8-21 54 54-40 8-13 54-36 8-37 55 55-38 8-28 55-35 8-52 56 56-37 8-43 56-34 8-67 57 ( 57-36 8-57 57-.32 8-82 58 ( 58-35 8-72 58-31 8-98 59 ( 59-34 8-87 59-30 913 60 ( 60-33 9-02 60-29 9-28 61 ( 61-32 9-16 61-28 9-43 62 ( 6231 9-31 62-27 9-58 63 ( 63-30 9-46 63-26 9-74 64 ( 64-29 9-61 64-24 9-89 65 ( 65-28 9-76 65-23 1004 66 67 ( 66-26 9-90 66-22 10-19 67-25 10-05 67-21 10-34 68 ( 68-24 10-20 68-20 10-50 69 69-23 10-35 69-19 10-65 70 I 70-22 10-49 70-17 10-80 71 \ 71-21 • 10-64 71-16 10-95 72 ( 72-20 10-79 7215 1110 73 ( 73-19 10-94 73-14 11-26 74 / 74-18 11-09 74-13 11-41 75 ( 75-17 11-23 75-12 11-56 76 / 76-15 11-38 76-10 11-71 77 / 77-14 11-53 77-09 11-87 78 I 78-13 11-68 78-08 1202 79 / 79-12 11-82 79-07 12-17 80 } 80-11 11-97 80-06 12-32 81 81-10 12-12 81-05 12-47 82 ) 82-09 12-27 82-03 12-63 83 ) 83-08 12-42 83-02 12-78 84 ) 84-07 12-56 84-01 1293 85 85-06 12-71 85-00 13-08 86 86-04 12-86 85-99 13-23 87 87-03 13-01 86-98 13-39 88 88-02 13-16 87-96 13-54 89 89-01 13-30 88-95 13-69 90 ) 90-00 13-45 89-94 13-84 91 90-99 13-60 90-93 14-00 92 91-98 13-75 91-92 1415 93 92-97 13-89 92-91 14-30 94 93-96 14-04 93-89 14-45 95 94-95 14-19 94-88 14-60 96 95-93 14-34 95-87 14-76 97 96-92 14-49 96-86 14-91 98 97-91 14-63 97-85 15-06 99 ^ 98-90 14-78 98-84 15-21 100 i i s ( Q ! Dep. Lat. Dep. Lat. 81i Deg. 811 Deg. 90 TRAVERSE TABLE. 1 ) 3 9 Deg. 9i Dec. 9| Deg. 9^ Deg. i] Lat. Dep. Lau Dep. Lat. Dep. Lat. Dep. ( 1 0-99 0-16 0-99 0-16 0-99 0-17 0-99 0-17 — ( 1 ( ( 2 1-98 0-31 1-97 0-32 1-97 0-33 1-97 0-34 2 ( ( 3 2-96 0-47 2-96 0-48 2-96 0-50 2-96 0-51 3 \ 4 3-95 0-63 3-95 0-64 3-95 0-66 3-94 0-68 4 ( 5 4-94 0-78 4-93 0-80 4-93 0-83 4-93 0-85 5 ( 6 5-93 0-94 5-92 0-96 5-92 0-99 5-91 1-02 6 * ( 7 6-91 1-10 6-91 1-13 6-90 1-16 6-90 1-19 7 ( ( 8 7-90 1-25 7-90 1-29 7-89 1-32 7-88 1-35 8 { 9 8-89 1-41 8-88 1-45 8-88 1-49 8-87 1-52 9 ( ID 9-88 1-56 9-87 1-61 9-86 1-65 9-86 1-69 10 11 10-86 1-72 10-86 1-77 10-85 1-82 10-84 1-86 11 12 11-85 1-88 11-84 1-93 li-84 1-98 11-83 2-03 12 13 12-84 2-03 12-83 209 12-82 2-15 12-81 2-20 13 ' 14 13-83 2-19 13-82 2-25 13-81 2-31 13-80 2-37 14 ( I 15 14-82 2-35 14-80 2-41 14-79 2-48 14-78 2-54 15 { 16 ( ( 1« 15-80 2-50 15-79 2-57 15-78 2-64 15-77 2-71 < i'' 16-79 2-66 16-78 2-73 16-77 2-81 16-75 2-88 17 18 ( ( 1« 17-78 2-82 17-77 2-89 17-75 2-97 17-74 3-05 ( 19 18-77 2-97 18-75 3-05 18-74 314 18-73 3-22 19 ( ) 20 19-75 313 19-74 3-21 19-73 3-30 19-71 3-39 20 i 21 20-74 3-29 20-73 3-38 20-71 3-47 20-70 3-56 21 ( 22 ) 22 21-73 3-44 21-71 3-54 21-70 3-63 21-68 3-73 23 22-72 3-60 22-70 3-70 22-68 3-80 22-67 3-90 23 / 24 23-70 3-75 23-69 3-86 23-67 3-90 23-65 4-06 24 ( 25 24-()9 3-91 24-67 4-02 24-66 4-13 24-04 4-23 25 ( ( 20 25-68 4-07 25-66 4-18 25-64 4-29 25-62 4-40 26 I 27 / / 27 2()-67 4-22 26-65 4-34 . 26-63 4-46 26-61 4-.>7 / 28 27-66 4-38 27-64 4-50 27-62 4-62 27-60 4-74 28 / / 29 , 28-64 4-54 28-62 4-66 28-00 4-79 28-58 4-91 29 30 / / 30 29-63 4-69 29-61 4-82 29-59 4-95 29-57 5-08 ( 31 30-62 '4-85 30-60 4-98 30-57 5-12 .30-55 5-25 31 32 31-61 5-01 31-58 5-14 • 31-56 .5-28 31-54 5-42 32 / 33 3-2-59 5-]6 32-57 5-30 32-55 5-45 32-52 5-59 33 ( 34 33-58 5-32 33-56 5-47 33-53 5-61 .33-51 5-76 34 35 ( 35 34-57 5-48 34-54 5-63 34-52 5-78 34-49 593 36 35-56 5-(i3 35-53 5-79 35-51 5-94 35-48 6-10 36 ' 37 36-54 5-79 36-52 5-95 36-49 6-11 36-47 6-27 37 38 37-53 5-94 37-51 611 37-48 6-27 37-45 6-44 38 39 38-52 6-10 38-49 6-27 38-47 6-44 38-44 6-60 31» 40 39-51 6-26 39-48 643 39-45 6-60 39-42 6-77 40 41 40-50 6-41 40-47 6-59 40-44 677 40-41 6-94 4] > 42 41-48 6-57 41-45 6-75 41-42 6-92 41-39 7-11 42 43 4-2-47 6-73 4-2-44 6-91 42-41 7-10 42-38 7-28 43 44 43-46 6-88 43-43 7-07 43-40 7-26 43-36 7-45 44 45 - 44-45 7-04 44-41 7-23 44-38 7-43 44-35 7-62 45 46 45-43 7-20 45-40 7-39 45-37 7-59 45-.?4 7-79 46 47 ^6-42 7-35 46-39 7-55 46-30 7-70 46-32 7-96 47 48 47 41 7-51 47-38 7-72 47-34 7-92 47-31 8-13 48 f / 49 48-40 7-67 48-36 7-88 48-33 809 48-29 8-.30 49 ' / 50 49-38 7-82 49-35 8-04 49-32 8-25 49-28 8-47 50 ' 1 1 ! ( Dep. Lat. Dop. Lat. Dep. Lat. Dep. Lat. 81 I )EG. 80i Deg. 80.i ] "!!l,. 80^ ] Deg. TRAVERSE TABLE. 91 9 Deg. 9i Deg. 94 Deg. 9^ Deg. 5 ^ 1 ^ 51 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 50-37 7-98 50-34 8-20 50-30 8-42 50-26 8 64 51-3f5 8-13 51-32 8-36 51-29 8-58 51-25 8-81 52 ) 5:2-35 8-29 52-31 8-52 52-27 8-75 52-23 8-98 53 ) 53-34 8-45 53-30 8-68 53-26 8-91 53-22 9-14 54 ) 54-32 8-60 54-28 8-84 54-25 9-08 54-21 9-31 55 ) 55-31 8-76 55-27 9-00 55-23 9-24 55-19 9-48 56 ) 5G-30 8-92 56-26 9-16 56-22 9-41 56-18 9-65 57 S 57-29 9-07 57-25 9-32 57-20 9-57 57-16 9-82 58 58-27 9-23 - 58-23 9-48 58-19 9-74 58-15 9-99 59 60 ( 59-26 9-39 59-22 9-64 59-18 9-90 59-13 10-16 60-25 9-54 60-21 9-81 60-16 10-07 60-12 10-33 61 ) 01-24 9-70 6119 9-97 61-15 10-23 61-10 10-50 62 ) 62-22 9-86 62-18 10-13 62-14 10-40 62-09 10-67 63 ) 63-21 10-01 63-17 10-29 63-12 lU-56 0308 10-84 64 < 64-20 10-17 64-15 10-45 64-11 10-73 64-06 11-01 65 S 65-19 10-32 65-14 10-61 65-09 10-89 65-05 11-18 66 < 66-18 10-48 66-13 10-77 66-08 11-06 66-03 11-35 67 { 68 67-16 10-64 67-12 10-93 67-07 11-22 67-02 11-52 68-15 10-79 68-10 11-09 68-05 11-39 68-00 11-69 69 70 ( 69-14 10-95 69-09 11-25 69-04 11-55 68-99 11-85 70-13 11-11 70-08 11-4] 70-03 11-72 69-97 12-02 ^i 71-11 11-26 71-06 11-57 71-01 11-88 70-96 12-19 72 72-10 11-42 72-05 11-73 72-CO 12-05 71-95 12-36 S! 73-09 11-58 73-04 11-89 72-99 12-21 72-93 12-53 7408 11-73 74-02 12-06 73-97 12-38 73-92 12-70 75 75-06 11-89 7.5-01 12-22 74-96 1254 74-90 12-87 76 7605 12-05 76-00 12-38 75-94 12-71 75-89 13-04 77 77-U4 12-20 76-99 12-54 76-93 12-87 76 87 13-21 78 78-03 12-36 7r97 12-70 77-92 13-04 77-86 13-38 79 ( 79-02 12-51 78-96 12-86 78-90 13-20 78-84 13-55 80 ( ( 81 ( 80-00 12-67 79-95 13-02 7f)-89 13-37 79-83 13-72 80-99 12-83 80-93 13-18 80-88 13-53 80-C2 13-89 82 ( 81-98 12-98 81-92 13-34 81-86 13-70 81-60 14-o6 83 ( 82-97 13-14 82-91 13-50 82-85 13-86 82-79 14-23 84 / 83-95 13-30 83-89 13-06 83-83 14-03 83-7- 14-39 85 84-94 13-45 84-88 13-82 84-82 14-19 84-76 14-56 86 85-93 13-61 85'ti7 13-98 85-81 14-36 85-^4 14-73 87 88 I 86-92 13-77 86-86 14-15 86-79 14-52 tt6-73 14-90 87-90 13-92 87-84 14-31 87-78 14-69 87-71 1507 89 ( 88-89 14-08 88-83 14-47 88-77 14-85 88-70 li-24 90 ( 1 89-88 14-24 89-82 14-63 89-75 15-02 89-69 15-41 91 I 90-87 14-39 90-80 14-79 90-74 15-18 90-67 15-58 92 91-86 14-55 91-79 14-95 91-72 15-35 91-66 15-75 93 / 92-84 14-70 92-78 1511 92-71 15-51 92-64 15-92 94 ^ 93-83 14-86 93-76 15-27 93-70 15-68 93-63 16-09 95 / 94-82 15-u2 94-75 15-43 94-68 15-84 94-61 16-26 96 97 98 / 95-81 15-17 95-74 15-59 95-67 16-01 95-60 16-43 96-79 15-33 96-73 15-75 96-66 16-17 96-58 16-60 97-78 15-49 97-71 15-91 97-64 16-34 97-57 16-77 99 (, 98-77 Dep. 15-64 98-70 16-07 98-63 16-50 98-56 16-93 100 { Lat. Dep. Lat. Dep. Lat. Dep. Lat. C 1 81 E EG, 80i I )EG. 801 I Deg. 80:^ I )EG. 92 TRAVERSE TABLE. 1 10 Deo. lOi m Deg. 10} Deg. 5 ) Lat. Dep. Lai. Dep. Lat. Dep. Lat. Uep. 3 } 1 0-98 0-17 0-98 0-18 0-98 0-18 0-98 0-19 1 ) 2 1-97 0-35 1-97 0-36 1-97 0-36 1-96 0-37 2 ( ) 3 2-95 0-.32 2-95 0-53 2-95 0.55 2-95 0-56 3 ( ) 4 3-94 0-('9 3-94 0-71 3-93 0-73 3-93 0-75 4 ( S 5 4-1,2 0-87 492 0-89 4-92 0-91 4-91 0-93 5 ( ) ^ 5-91 1-04 5-9I) 1-07 5-90 1-09 5-89 1-12 6 ( ) "^ 689 1-22 6-89 1-25 6-83 1-28 0-88 1-31 7 / ) 8 7-88 1-.19 7-87 1-42 7-87 1-46 7-80 1-49 8 ( ) y 8-8fi 1-55 8-86 1-00 8-85 1-64^ 1-82^ 8-84 1-68 9 ( ( ^^ 9-85 1-74 9-84 1-78 9-83 9-82 1-87 10 } 11 12 10-83 1-91 10-82 1-90 10-82 2-00 10-81 2-05 11 ( 11-82 208 11-81 2-14 11-80 219 11-79 2-24 12 / ( 13 12-8J 2-26 12-79 2-31 12-78 2-37 12-77 13 / ( 14 13-79 2-43 13-78 2-49 13-77 2-55 13-75 2-61 14 I 15 14-77 2-60 14-76 2-07 14-75 2-73 14-74 2-80 15 ( 10 15-76 2-78 1.V74 2-85 15-73 2-92 15-72 2-98 16 S 17 16-74 2-95 16-73 303 16-72 3- 10 10-70 3-17 17 ( ( 18 17-73 313 17-71 3-20 17-70 3-28 17-68 3-36 18 / ( hi 18-71 3-30 18-70 3-38 18-68 3-46 18-07 3-54 19 / ( 2J 19-70 347 19-68 3-56 19-67 3-64- 19-65 3-73 20 21 20-68 3-65 2i)-G6 3-74 20-65 3-83 20-63 3-92 21 ' ( 22 21-67 3-82 21-65 3-91 21-63 4-01 21-01 4-10 22 { 23 22-«i5 3-99 22-03 4-09 22-61 4-19 22-(>0 4-29 23 ( 24 23-(;4 4-17 23-02 4-27 23-60 4-37 23.58 4-48 24 S 25 24-(i2 4-34 2400 4-45 24-.58 4-56 24-56 4-66 25 / ( 2i> 25-(U 4-51 25-.-,9 4-63 25.50 4-74 25.54 4-85 26 ( ( 27 2i5-59 4-69 26.57 4-80 26-55 4-92 26-53 5-04 27 / ( 2S 27-57 4-86 27.55 4-98 27-53 5-10 27-51 5-22 28 I ( 29 28-56 5-04 28-54 5-16 28-51 5-28 28-49 5-41 2\}.( J 30 29-54 5-21 29-52 5-34 29-50 5-47 29-47 5-60 30 5 \ 31 30-53 5-38 30-51 5.52 30-48 5-65 30-40 5-78 31 ; ( 32 31-51 5.50 31-49 5-69 31-46 5-83 31-44 5-97 32 I 3;j 32-50 5-73 32-47 5-87 32-45 6-01 32-42 6-16 33 } 34 33-48 5-90 33-40 605 33-43 6-20 33-40 6-34 34 < 35 34-47 6-08 34-44 6-23 34-41 0-38 34-39 6-53 35 ( 36 3.V45 6-25 35-43 6-41 3.5-40 6.56 35-37 0-71 36 37 38 39 36-44 6-42 36-41 6-5S 30-38 6-74 30.35 6-90 37 37-42 6-6J 37-39 6-76 37.36 6-92 37-33 7-09 38 38-41 6-77 38-:« 6-94 38-35 7-11 38-32 7-27 39 • ? 40 39-39 6-95 39-36 7-12 39-33 7-29 39-30 7-46 40 ,' 1 ' 41 40-38 712 40-35 7-30 40-31 7-47 40-28 7-05 41 .' 42 41-36 7-29 41-33 7-47 41.30 7-05 41-26 7-83 42 43 42-35 7-47 42-31 7-C.5 42-28 7-84 42-25 8-02 43 44 43-33 7-61 43-30 7-83 43-20 8-02 43-23 8-21 44 I 45 44-32 7-81 44-28 8-01 44-25 8-20 44-21 8-39 45 / 4G 45-30 7-99 45 27 8-19 4523 8-.38 4.5-19 8-.58 46 47 46-29 816 46-25 8 36 4;-2i 8-57 40-18 8-77 47 48 47-27 8-34 47-23 tTA 4720 8-75 47-10 8-95 48 49 4826 8-51 48-22 8-72 48-18 8-93 48-14 9-14 49 50 49-24 8-68 49-20 8-90 49 10 9-11 4912 9-33 50 r. Dep. Lai. Dep. Lat. Dep. Lat. Dep. Lat. I ' 80 1 lEG. 79} Deg. 79 .V Deg. 79i] 3eo. ^ : TRAVERSE TABLE. 93 ' 2 9 10 Deg. lOi Deg. 10,\ Deo. lOJ Deg. ^ ( Lat. Dep. Lat. Dep. 9-08. Lat. Dep. Lat. Dep. i 51 50-23 8-86 5019 50-15 9-29 50-10 9-51 51 ( ) 52 51-21 903 5117 9-25 51-13 9-48 5109 9-70 52 ( 53 52-19 9-20 52-15 943 52-11 9-66 .52 07 9-89 53 ( 54 55 ) 5/ 58 59 60 53-18 9-33 53-14 9-61 5310 9-84 .5305 10-07 54 ( 54-16 9-55 54-12 9-79 54-08 10-02 54-03 10-26 55 5515 9-72 55-11 9-96 55-06 10-21 55-02 10-45 .56 50-13 9-90 50-09 10-14 56-05 10-39 56-00 10-63 57 57-12 1007 57-{.7 10-32 57-03 10-57 56-98 10-82 58 ( 58-10 10-25 58-06 10-50 58-01 10-75 .57-96 11-00 59 / 59-09 10-42 59-04 10-68 59-00 10-93 58-95 11-19 60 / ) 61 60-07 10-59 60-03 10-85 59-98 11-12 59-93 11-38 61 ) 62 61-06 10-77 6101 1103 60-96 11-30 60-91 11-56 62 ) ) 63 6204 10-94 61-99 11-21 61-95 11-48 61-89 11-75 63 ) 64 65 66 67 6303 1111 62-98 11-39 62-93 11-66 62-88 11-94 64 ) 04-01 11-29 63-96 11-57 63-91 11-85 63-86 1212 65 6500 11-46 64-95 11-74 64-89 12-03 64-84 12-31 66 65-98 11-63 65-93 11-92 65-88 12-21 65-82 12.50 67 68 66-97 11-81 66-91 12-10 66-86 12-39 66-81 12-68 68 ) 69 67-95 11-98 67-90 12-28 67-84 12-57 67-79 12-87 69 j 70 68-94 12-16 68-88 12-46 68-83 12-70 68-77 13-06 70 j } 71 69-92 12-33 69-87 12-63 69-81 12-94 69-75 13-24 71 ) ) 72' 70-91 12-50 70-85 12-81 70-79 13-12 70-74 13-43 72 ) ) 73 71-89 12-68 71-83 12-99 71-78 13-30 71-72 13-62 73 ) ) 74 72-88 12-85 72-82 13-17 72-76 13-49 72-70 13-80 74 ) ) 75 73-80 13-02 73-80 13-35 73-74 13-67 73-68 13-99 75 ) ) 76 74-35 13-20 74-79 13-52 74-73 13-85 74-67 14-18 76 ) > 77 75-83 13-37 75-77 13-70 75-71 14-03 75-65 14-36 77 > ) 78 76-82 13-54 76-76 13-88 76-09 14-21 76-63 14-55 78 ) ) 79 77'80 13-72 77-74 14-00 77-68 14-40 77-61 14-74 79 ) ) 80 78-78 13-89 78-72 14-24 78-66 14-58 '78-60 14-92 80 S / 81 79-77 14-07 79-71 14-41 79-64 14-76 79-58 15-11 81 ) ) 82 80-75 14-24 80-69 14-.59 80-63 14-94 80-56 15-29 82 / 83 81-74 14-41 81-68 14-77 81-61 15-13 81-.54 15-48 83 ( 84 82-72 14-59 82-66 14-95 82-59 15-31 82-53 15-67 84 (.85 80 83-71 14-76 83-04 15-13 83-58 15-49 83-51 15-85 85 84-69 14-93 84-63 15-30 84.56 15-67 84-49 16-04 86 ( 87 85-68 1511 85-61 15-48 85-.54 15-85 85-47 16-23 87 / 88 86-G6 15-28 86-60 15-66 86-53 16-04 86-46 16-41 83 / 89 87-65 15-45 87*58 15-84 87-51 16-22 87-44 16-60 89 / 90 I 91 .88-63 15-63 88-56 16-01 88-49 16-40 83-42 16-79 90 89-62 15-80 89-55 16-19 ■ 89-48 16-58 89-40 16-97 9] ( 92 90-60 15-98 90-.53 16-37 90-46 16-77 9a-39 1716 92 93 91-59 16-15 91-52 16-55 91-44 16-95 91-37 17-35 93 94 92-57 16-32 92-50 16-73 92-43 17-13 92-35 17-53 94 / 95 93-56 16-50 93-48 16-90 93-41 17-31 93-33 17-72 95 ( 96 94-54 10-67 94-47 17-08 94-39 17-49 94-.32 17-91 96 97 95-53 16-84 95-45 17-26 95-38 17-68 95-30 18-09 97 ( 98 96-51 17-02 96-44 17-44 96-36 17-86 96-28 18-23 98 99 97-50 1719 97-42 17-62 97-34 18-04 97-26 13-47 99 (100 98-48 17-36 98-40 17-79 98-33 18-22 98-25 18-65 100 j ( . Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. .i] 80 Deg. 791 Deo. 79J Deo. 79^] Deg. 94 TRAVERSE TABLE. TRAVERSE TABLE. 95 1] Deg. Hi Deg. 1 Lat. Dep. 9-73 La!. Dep. 50-00 50^02 995 51-Oi 9-92 51-..0 10-14 5-2-iJ3 10-11 51-93 10-34 53-01 10-30 .52-96 10-53 53-yi) 10-49 53-94 10-73 54-97 10-69 54-92 10-.93 55-95 10-88 55-90 11-12 50-93 11-U7 56-89 11-32 57-t)r2 11-26 57-87 11-51 58-90 11-45 58-85 11-71 59-83 11-64 59-83 11-90 60-86 11-83 60-81 12--25 1 61-84 1202 61-79 63-8-2 12-21 62-77 12-49 1 63-81 12-40 63-75 12-68 64-79 12-59 64 73 12-,88 65-77 12-78 6.5-71 13-07 66-75 i-2-y8 66-69 13-27 ! 67-73 13-17 67-67 13-40 r 68-71 13-36 08-66 13-GO 69-70 13-55 ■69-64 13-85 70-08 13-74 70-02 1405 1 71-66 13-93 71-(i0 14-24 1 7-J-64 14-12 73-50^ 14;44 73-6-2 ■14-31 M4*53 74-00 14-50 74-54 14-S3 75-59 14-09 7.5-52 . '1502 76-57 14-88 76-50 15-22 77-55 1507 77-48 15-41 78-53 ^m '^■%.. 15-61 79-51 15-4(5 79-44 15-80 80-49 15-65 80-4'2 16-00 81-48 15-84 81-41 10-19 82-4;! l'o-03 8i:'J i(;-;w 83-44 1(5-22 83-37 16-58 84-42 16-41 8^35 lG-78 85-40 16-60 85-33 10-97 86-38 16-79 86-31 1717 87-36 16-98 87-29 17-36 88-35 17-17 88-27 17-56 89-33 17-36 89-25 17-75 90-31 17-55 90-23 17-95 91-29 17-75 91-21 1814 92-27 17-94 92-19 18-34 93-25 18-13 93-17 18-. ^3 94-'2t 18-32 94-16 1873 95-22 18-51 95-14 18-02 96-20 18^70 96-12 19- ] '2 97-18 18-89 97- JO 19-3 I 98-16 19.08 98-08 19-5; Dep. Lat. Dep. M •79 Deg. 78i m 11\ Deg. Dep. 49-98 50-96 51-94 52-92 53-90 54-88 55-80 56-84 57-82 53-80 59-78 6',J-70 61-74 62-72 63-70 64-C!8 60-ir3 •07 ()1 68-5J 69-57 70-.55 71-33 72-51 X 73-49 74-47 75-4.". 70-43 77-41 78-39 79-37 80-.35 81-33 S2-31 83-29 84-27 85-25 80-2:'. 87-21 88-19 89-17 90-15 91-13 92-11 93-09 9407 95-05 96-03 97-01 97-99 10-17 10-37 10-57 10-77 10-97 11-16 11-35 11-56 11-70 11-96 12-16 12-36 12-50 12-76 12-96 13-16 13-36 13-56 13-76 13-96 14-lG 14-35 14-55 im 14-^5 1.5-15 15-35 15-55 15-75 15-95 16- M 16-3,3 16-55 1!V75 16-95 17-15 lT-35 ' 17-54 17-74 17-94 18-14 I 18-34 i 18-54 I 18-74 I 18-9-i I 19-14 ! 119-34 ! 19-54 ! 19-74 19-94 Dep. 781 Deg. 11^. Deg. Lat. Dep. 49-93 10-39 .50-91 10-59 51-89 10-79 .52-87 11-00 .53-85 11-20 54-83 11-40 5.5-81 11-61 56-78 11-81 57-76 12-01 58-74 12-22 59-72 12-42 60-70 12-03 61-68 1-2-83 62-66 13-03 63-64 13-2-^1 64-62 13-44 '. 65-60 13-64 ' 66-58 13-85 67-55 14-05 63-53 14-25 69-51 14-46 70-49 14-66 71-47 14-87 7g-45 15-07 73.43 i;.-27 1 74-41 7.5.39 76.37 77-34 10-09 78-32 10-29 79-30 16-49 80-28 16-70 81-26 16-90 iv2-2' ITil 83-22 17-31 84-20 17;5.i 85-18 %6-16 17-92 87-14 18-12 88-11 18-33 89-09 • 18-53 90-07 18-74 91-05 18-94 92-03 19-14 93-01 19-35 93-99 19-55 94-97 19-75 95-95 19-96 9(i-93 20-16 97-90 20-36 Dep. Lat. 78^ Deo. 9G TR A VERS E TABLE. i 1 12 Dfg. 12i Deg. 12i Deg. 12| Deg. \ ? Lilt. Dep. Lat. Dep. Lat. Dep. L.t. Dep. f I 98 0-21 0-98 0-21 0-98 C-22 098 0-22 ( 2 1-96 0-42 1-95 0-42 1-95 0-43 1-95 0-44 ^ 2-93 0-G2 2-93 0-04 2-93 0-65 2-93 ' 006 4 3-91 0-83 3-91 0-85 3-91 C-87 3-90 0-88 ) 5 4-89 1-04 4-89 1-06 4-88 1-08 4-88 1-10 / 6 5-87 1-25 5-86 1-27 5-86 1-30 5-85 1-32 ) 7 6-85 1-46 6-84 1-49 6-83 1-52 6-83 1-54 ^ 8 7-83 1-66 7-82 1-70 7-81 1-73 7-80 1-77 ) 9 8-80 1-87 8-80 1-91 8-79 1-95 8-78 1-99 ( ^^ 9-78 2-08 9-77 2-12 9-76 2-16 9-75 2-21 } 11 10-76 2-29 10-75 2-33 10-74 2-38 10-73 2-43 12 11-74 2-49 11-73 2-.55 11-72 2-60 11-70 2-65 ) 1^ 12-72 2-70 12-70 2-76 12-69 2-81 12-6,8 2-87 ( 14 13-69 2-91 13-68 2-97 13-07 3-03 13-65 3-09 / 15 14-67 3-12 14-66 3-18 14-(;4 3-25 14-t)3 3-.31 ; 10 1505 3-33 15-64 3-39 15-(i2 3-46 1.5-61 3-53 ) 17 16-63 3-53 16-61 3-(U 16-60 3-68 16-58 3-75 ) 18 17-61 3-74 17-59 3-82 17.57 3-90 17-.56 3-97 ) 19 18-58 3-95 18-57 4-03 18.55 4-11 18-53 4-19 j 20 19-56 4-16 19-54 4-24 19-53 4-33 19-51 4-41 21 22 23 20 54 4-37 20-52 4-46 20-50 4-.55 20-48 4-63 21-52 4-57 21-5(1 4-67 21-48 4-76 21-46 4-80 22-50 4-78 22-48 4-88 22-45 4-98 22-43 5-08 ) 24 2;j-48 4-99 23-45 5-09 23-43 519 23-41 5-30 25 24-45 5 20 94-43 5-30 24-41'. 5-41 24-38 5-52 2(i 25-43 5-41 25-41 5-52 2S-38 5-1.3 25-36 574 i 27 26-41 ' 5-61 2(>-39 5-73 2li-36 5-84 26-33 5-96 f 2« 27-39 ,.5-82 27-36 5-94 27-34 6-06 27-31 6-18 ) 29 ■ 2ti-37 6t03 28-34 6-15 28-31 6-28 28-28 6-40 30 29-34 6-24 29-32 6-37 29-29 G-49 29-26 6-62 31 30-38 G-45 30-29 6-.58 30-27 6-71 30-24 6-84 32 31-30 6-65 31-27 6-79 31-24 6-93 31-21 7-06 ' 33 32-28 6-86 32-25 7-00 32-22 7-14 32-19 7-28 34 33-26 7-07 33-23 7-21 33 19 7-36 3.3-16 7-50 35 34-24 7-28 34-20 7-43 34-17 7-58 34-14 7-72 3(i 37 38 35-21 7-48 :«-i8 7-04 35-15 7-79 3511 7-95 30-19 811 36-16 7-85 30-12 8-01 36-09 8-17 37-17, 37-13 806 37-10 8-22 37-00 8-39 39 38-15 38-11 8-27 38-08 8-44 38-(M 8-61 40 39-13 8-32 39-09 8-49 39-05 8-66 39-01 8-83 j 41 40-10 8-52 40-07 8-70 40-03 8-87 39-99 9-05 ) 42 41-08 8-73 41-04 8-91 41-00 9-09 40-96 9-27 ) 43 4206 8-94 42-02 912 41-98 9-31 41-94 9-49 > 44 4304 915 4300 9-34 42-96 9-52 42-92 9-71 ) 45 44-L2 9-36 431)8 9.55 43-03 9-74 43-89 9-93 ) 46 44-99 9-56 44-95 9-7(5 44-91 9-96 44-87 10-15 ) 47 45-97 9-77 45i)3 9-97 45-89 10-17 45-84 10.37 ) 48 46-95 9-98 46-91 10-18 46-86 10-39 4Q-82 10-.59 ) 49 47-93 1019 47-88 10-40 47-84 10-61 47-79 10-81 J 50 48-91 10-40 48-86 10-61 48-81 10-82 48-77 11-03 \ « Dep. LrI. Dcp. LaU Dep. Lat. Dep. Lat. ( .2 ( '^ 78 1 )eg. 775 ] Oeg. m ] l^Q. 77il )E«. TRAVERSE TABL.: 97 ? 12 Deg. 12i Dkg. 12V Deg. m Deg. M Lat. Dep. Lat, Dep. Lat. Dep. Lat. Dep. 51 49-89 10-60 49-84 10-82 49-79 11-04 49-74 11-23 51 j 52 > 53 54 , 52 50-86 10-81 50-82 11-03 50-77 11-23 50-72 11-43 53 51-84 11-02 51-79 ir25 51-74 11-47 51-69 11-70 54 52-82 11-23 52-77 11-40 52-72 11-69 .52-67 11-92 55 53-80 11-44 53-75 11-67 53-70 11-90 53-64 12-14 55 I 56 54-78 11-64 54-72 11-83 54-67 12-12 54-62 12-36 .56 57 55-75 11-85 55-7J 12-09 5.>-65 12-34 55-59 12-5? 57 58 56-73 1206 56-68 12-31 56-63 12-53 56-57 12-80 53 59 57-71 12-27 57-6-0 1252 57-60 1277 57-.55 13-02 59 ( 60 58-69 12-47 5S-G3 12-73 53-58 12-99 58-52 13-24 60 j ( 6^ 59-67 12-68 59-61 12-94 59-55 13-20 .59-50 1.3-46 61 ( 62 60-65 12-89 60-59 1316 69-53 13-42 60-47 13-68 62 ( 63 61-62 13-10 61-57 13-37 61-51 13-64 61-45 1390 63 ( 64 62-60 13-31 62-54 13-.')8 62-43 13-85 62-42 1412 64 ( 65 63-58 13-51 63-52 13-79 63-46 14-07 63 40 14-35 65 ( I 66 64-56 13-72 64-50 14-00 64-44 14-29 04-37 14-57 66 67 ( 67 65-54 13-93 65-47 14 22 65-11 14-50 65 35 14-79 68 66-51 14-14 66-45 14-43 66-39 14-72 66-32. 15-01 63 69 67-49 14-a5 67-43 14-64 67-36 14-93 67-30 15-23 69 70 68-47 14-55 68-41 14-aj 63-34 1.515 68-27 15-45 70 71 69-45 14-76 69-38 l.'vOG 69-32 15-37 69-25 15-67 71 ( / 72 70-43 14-97 70-36 15-23 70-29 15-33 70-22 15-89 72 ( ) 73 71-40 15-18 71-34 13-49 71-27 15-80 71-20 16-11 73 ( 74 72-38 15-39 72-32 15-70 72-25 16-02 7218 16-33 74 ( ) 75 73-36 15-59 73-29 15-91 73-22 16-23 73-15 16-55 75 ( ) 76 74-34 15-80 74-27 10-13 74'20 16-45 74-13 16-77 76 ( ) .77 75-32 1601 75-25 16-.34 75-17 16-67 75-10 16-99 77 ( I 78 76-30 16-22 76.22 16-55 76-15 16-88 70-OS 17-21 78 ( ) 79 77-27 16-43 77-20 16-76 77-13 17-10 77-05 17-44 79 ( > 80 78-25 16-63 78-13 16-97 73-10 17-32 78-03 17-66 80 j » 81 79-23 16-84 79-16 17-19 79-03 17-53 79-00 17-88 .81 j ) 82 80-21 17-03 80-13 17-40 8i)-06 17-75 79-98 18-10 82 ; 83 81-19 17-26 81-11 17-61 81-03 17-95 80-95 18-32 S3 > 84 82-16 17-46 821)9 17-82 82-01 18-18 81-93 18-54 84 85 } ) 85 83-14 17-67 83-06 18-04 82-99 18-40 82-90 18-76 ) 86 84-12 17-88 81-04 1823 83-96 18-61 83-88 18-98 86 ) 87 85-10 18-09 85-02 18-46 84-94 18-83 84-85 19-20 87 ) 88 86-08 18-3U 86-00 18-67 85-91 19-05 85-83 19-42 88 ; 89 87-06 18-50 86-97 18-83 86-89 19-26 86-81 19-64 89 ) 90 8803 18-71 87-95 19-10 87-87 19-48 87-78 19-86 90 ) 91 89-01 18-92 88-93 19-31 83-84 19-70 88-76 20-08 91 ) 92 8i]-99 19-13 89-91 19-52 8J-82 19-91 89-73 20-30 92 ) 93 90-97 19-34 90-83 19-73 90-80 20-13 90-71 20.52 93 ) 94 91-95 19-54 91-86 li)-94 91-77 29-35 91-68 2=>75 94 ) 95 92-92 19-75 9-2-84 2iJ-16 92-73 2J-58 92-66 20-97 95 ) 96 93-90 19-96 93-81 20-37 93-72 2a-78 ' 93-63 21-19 96 ; 97 94-88 20-17 94-79 20-58 94-70 20-99 94-61 2J-41 97 98 95-86 20-38 95-77 20-79 95-68 21-21 95-53 21-63 93 / > 99 96-84 20-58 96-75 21-01 96-05 21-43 96-36 21-85 99 ( )100 97-81 20-79 97-72 21-22 97-63 21-64 97 53 22-07 100 I ( 1 B Dep. Lat. Dep. Lai. Dep. Lai. Dep. Lat. 1 78 Deg. 771 Deg. 77,i Deg. 77i Deg. 98 TRAVERSE TABLE, if ii 13 Dec. m Deg. 13J Deg. Lat. Deg. Dep. 7] Lat. Dep. Lat. Dep. Lat. Dep. ; I 0-97 0-23 097 0-23 0-97 0-23 0-97 0-24 ( 1 ( ' 2 1-95 0-45 1-95 0-46 1-95 0-47 1-94 0-48 2 ^ 3 2-t,2 0-67 2-92 0-69 2-92 0-70 2-91 0-71 3 f 4 3-90 0-90 3-89 0-92 3-89 0-93 3-89 0-95 4 ' 5 4-87 1-12 4-87 1-15 4-80 1-17 4-86 1-19 5 , 6 5S5 1-35 5-84 1-38 5-83 ]-40 5-83 1-43 6 7 682 1-57 6-81 1-60 6-81 163 6-80 1-66 7 8 7-80 1-80 7-79 1-83 7-78 1-87 7-77 1-90 8 ; ' 9 8-77 2-02 8-76 2-06 8-75 2-10 8-74 2-14 9 ( ) ^^ 9-74 2-25 9-73 2-29 9-72 2-33 9-71 2-38 10 > I ^^ 10-72 2-47 10-71 2-52 10-70 2-57 10-68 2-61 11 } 11-6J 2-70 l]-68 2-75 11-67 2-80 11-66 2-85 12 ) ' 13 12-67 2-92 12-65 2-98 12-64 303 12-63 3-09 13 ) 14 13-04 315 13-63 3-21 13-61 3-27 13-60 3-33 14 ) ( 15 14-tJ2 3-37 14-60 3-44 14-59 3-50 14-57 3-57 15 ) 16 15-59 3-60 1557 3-67 15-56 3-74 15-54 3-80 16 ) / 17 10-57 3-82 16-55 3-90 16-53 3-97 16-51 4-04 17 ) ; 18 17-54 » 4-05 17-52 4-13 17-50 4-20 17-48 4-28 18 ( *'-' 18-51 4-27 18-49 4-35 18-48 4-44 18-46 4-52 19 20 19-49 4-50 19-47 4-58 19-45 4-67 19-43 4-75 20 ' 21 20-46 4-72 20-44 4-81 20-42 4-90 20-40 4-99 21 i 22 21-4't 4-95 21-41 5-04 21-39 5-14 21-37 5-23 22 S 23 22-41 5-17 22-39 5-27 22-36 5-37 22-34 5-47 23 ) 24 23-38 5-40 23-36 5-50 23-34 5-(;o 23-31 5-70 24 S 25 24-36 5-62 24-33 5-73 24-31 5-84 24-28 5-94 25 { ) 2ii 25-33 5-85 25-31 5-96 25-23 6-07 25 -25 6-18 26 ( 27 26-31 6-07 26-28 6-19 26-25 6-30 2li-23 6-42 27 ) 28 27-28 6-30 27-25 6-42 27-2.3 6-54 27-20 6-66 28 ) 2t) 28-26 6-52 28-23 0-65 28-20 6-77 28-17 6-89 29 30 ( 30 29-23 6-75 29-20 6-88 29-17 7-00 29-14 7-13 31 30-21 6-97 30-17 7-11 30-14 7-24 30-11 7-37 31 I ) 32 31-18 7-20 31-15 7-33 3112 7-47 31-08 7-61 32 ( ) 33 32-15 7-42 32-12 7-56 32-09 ■<-70 32-05 7-84 33 ( ) 34 3313 7-65 33-09 7-79 33-06 7-94 33-03 8-08 34 ) 35 34-10 7-87 34-07 8-02 3403 8-17 34-00 8-32 35 ) 3(3 35-08 8-10 35-04 8-25 35-01 8-40 34-97 8-56 36 ( ) 37 36-05 8-32 30-02 8-48 35-98 8-64 35-94 8-79 37 ( S 38 37-03 8-55 36-99 8-71 36-95 8-87 36-91 9-03 38 ( ) 3U 38-00 8-77 37-96 8-94 37-92 9-10 37-88 9-27 39 ) 40 38-97 9-00 38-94 917 38-89 9-34 38-85 9-51 40 ) 41 39-95 9-22 39-91 9-40 39-87 9-57 39-83 9-75 41 S 42 40-92 9-45 40-88 9-63 40-84 9-80 40-80 9-98 42 / V 43 41-90 9-67 41-86 9-86 41-81 10-04 41-77 10-22 43 I ) 44 42-87 9-90 42-83 10-08 42-78 10-27 42-74 10-46 44 / ( 45 43-85 1012 43-80 10-31 43-76 10-51 43-71 10-70 45 ) 4G 44-82 10-35 44-78 1054 44-73 10-74 44-68 10-93 4(i ) 47 45-80 10-57 45-75 10-77 45-70 10-97 45-65 1117 47 ) 48 46-77 10-80 46-72 IJOO 46-07 11-21 46-62 11-41 48 ,< ) 49 47-74 11-02 47 70 11-23 47-65 11-44 47-60 11-65 49 / J 50 4S-72 11-25 48-<)7 11-46 48-62 n.»7 48-57 11-88 50 / Ii Dep. Lat. Dep. LaL Deo. Dep. Lat. Dep. 76^ Lat. Deg. i \ 5 1 77 ] Oeg. 76^ Dko. t ^ --V.^-S^-N,.^ — ..'-v.^-^^^^ ->^^.^-^.-^_- ■..^-...--^■^ T R A V E R S : 99 13 Deg. Dep. 49-69 50-67 51-64 5-2-62 53-59 54-56 55-54 56-51 57-49 58-46 59-44 60-41 61-39 62-36 63-33 64-31 65-23 66-26 67-23 68-21 69-18 70-15 71-13 72-10 73-08 74-05 75-03 76-00 76-98 77-95 78-92 79-90 80-87 81-85 82-82 83-80 84-77 85-74 86-72 87-69 88-67 89-64 90-62 91-59 92-57 93-54 94-51 95-49 96-46 97-44 Dep, L.> 131 Deg. Lat. 11-47 11-70 11-92 1215 12-37 12-60 12-82 1305 13-27 13-50 13-72 13-95 14-17 14-40 14-62 14-85 15-07 15-30 15-52 15-75 15-97 16-20 16-42 16-65 16-87 17-10 17-32 17-55 17-77 18-00 18-22 18-45 18-67 18-90 19-12 19-35 19-57 19-80 20-02 20-25 20-47 20-70 20-92 21-15 21-37 21-60 21-82 22-05 22-27 22-50 Dep. 49-64 50-62 51-59 52-56 53-54 54-51 55-48 56-48 57-43 58-40 59-38 60-35 61-32 62-30 63 27 64-24 65-22 66-19 67-16 68-14 69-11 70-08 71-06 72-03 73-00 73-98 74-95 75-92 76-90 77-87 78-84 79-82 80-79 81-76 82-74 83-71 84-68 85-66 86-63 87-60 88-58 89-55 90-52 91-50 92-47 93-44 94-42 95-39 96-36 97-34 Dep. 77 Deg. 11-69 11-92 12-15 12-38 12-61 12-84 13-06 13-29 13-52 13-75 13-98 14-21 14-44 •14-67 14-90 15-13 15-36 15-59 15-81 16-04 16-27 16-50 16-73 16-96 17-19 17-42 17-65 17-88 18-11 18-34 18-57 18-79 19-02 19-25 19-48 19-71 19-94 20-17 20-40 20-63 20-86 21-09 21-32 21-.54 21-77 22-00 22-23 2-2-46 22-69 22-92 13J Deg. 76 J Deg. | 49-59 50-56 51-54 52-51 53-48 54-45 55-43 56-40 57-37 58-34 .59-31 60-29 61-26 62-23 63 20 64-] 8 65-15 66-12 67-09 68-07 69-04 70-01 70-98 71-96 72-93 73-90 74-87 75-84 76-82 77-79 78-76 79-73 80-71 81-68 82-65 83-62 84-60 85-57 86-54 87-51 88-49 89-46 90-43 91-40 92-38 93-35 94-32 95-29 96-26 97-24 Dep. Dep. 11-91 12-14 12-37 12-61 12-84 13-07 13-31 13-54 13-77 14-01 14-24 14-47 14-71 14-94 15-17 15-41 15-64 15-87 16-11 16-34 16-57 16-81 17-04 17-28 17-50 17-74 17-98 18-21 18-44 18-68 18-91 19-14 19-38 19-61 19-84 20-08 20-31 20-54 20-78 21-01 21-24 21-48 21-71 21-94 22-18 2-2-41 22-64 22-88 23-11 23-34 13J Deg. 76J Deg. 49-.54 50-51 51-48 53)'45 53-42 .54-40 55-37 56-.34 57-31 58-28 59-25 60-22 61-19 62-17 63-14 64-11 65-08 66- J5 67-()2 67-99 68-97 69-94 70-91 71-88 72-85 73-82 74-79 75-76 76-74 77-71 78-68 79-65 80-62 81-59 82-.56 83-54 84-51 85-4» 86-45 87-42 88-39 89-36 90-33 91-31 92-28 93-25 94-22 9519 96-16 97-13 Dep. Dep. 12-12 12-36 12-60 12-84 13-07 13-31 13-55 13-79 14-02 14-26 14-50 14-74 14-97 15-21 15-45 15-69 15-93 16-16 16-40 16-64 16-88 17-11 17-35 ft-59 17-83 18-06 18-30 18-54 18-78 19-01 19-25 19-49 19-73 19-97 20-20 20-44 20-68 20-92 21-15 21-39 21-63 21-87 22-10 22-34 22-58 22-82 2;5-G6 23-29 23-53 23-77 76i Deg. 100 TRAVERSE TABLE. ) o 14 Deo. Hi Deg. m Deg. ■ 14} Deg. ' 11 1 i Lat. Dep. Lat, Dep. Lat. Dep. Lat. Dep. > 1 0-97 0-24 0-97 0-25 0-97 0-25 0-97 0-25 1-94 0-48 1-94 0-49 1-94 0-50 1-93 0-51 ! ' ;-i 2-91 0-73 2-91 0-74 2-90 0-75 2-90 0-76 4 3-88 0-97 3-88 0-98 3-87 1-00 3-87 1-02 5 4-85 1-21 4-85 1-23 4-84 1-25 4-84 1-27 5 6 5-82 1-45 5-82 1-48 5-81 1-50 5-80 1.53 6 7 6-79 1-69 6-78 1-72 6-78 1-75 6-77 1-78 7 8 7-76 1-94 7-75 1-97 7-75 2-00 7-74 2-04 8 ( 9 8-73 2-18 8-72 2-22 8-71 2-25 8-70 2-29 9 \ 10 9-70 2-42 9-69 2-46 9-C8 2-50 9-67 2-55 10 ( ^1 10-67 2-66 10-66 2-71 10-65 2-75 10-64 2-80 11 ! 12 11-64 2-90 11-63 2-95 11-62 3-00 1160 3-06 12 ( } 1-^ 12-61 3-15 12-60 3-20 12-59 325 12-57 3-31 13 ( / 14 13-58 3-39 13-57 3-45 13-5J 3-51 13-54 3.56 14 { ) 15 14-55 3-63 14-54 3-69 14-52 3-76 14-51 3-82 15 ( ; 10 15-52 3-87 15-51 3-94 15-49 4-01 15-47 4-07 16 ( 17 18 I ! 17 16-50 4-11 16-48 4-18 16-46 4-26 16-44 4-33 ) 18 17-47 4-35 17-45 4-43 17-43 4-51 17-41 4-.58 ) 19 18-44 4-60 18-42 4-68 18-39 4-76 18-37 4-84 19 ( J 20 19-41 4-84 19-38 4-92 19-36 5-01 19-34 5-09 20 ( ] 21 20-38 5-08 20-35 .5-17 20-33 5-26 20-31 5-35 21 ( 5 22 21-35 5-32 21-32 5-42 21-30 5-51 21-28 5-60 22 ( ) 23 22-32 5-56 22-29 5-66 22-27 5-76 22-24 5-86 23 ( \ 24 2359-^ 5-81 23-26 5-91 23-24 G-01 23-21 6-11 24 ( ^ 25 24^6 6-05 24-23 6-15 24-20 6-26 24-18 6-37 25 ( ) 2G 25-23 6-29 25-20 6-40 2.5-17 6-51 2.5-14 6-62 26 ( 27 2()-20 6.53 26-17 6-65 2o-14 6-76 26-11 6-87 27 ) 28 27-17 G-77 27-14 6-89 27-11 7-01 27-08 7-13 28 ( '; 29 28-14 7-02 28-11 7-14 28-08 7-26 28-04 7-38 29 30 ) 31 29-11 7-26 29-08 7-38 29-04 7-51 29-01 7-G4 30 30-08 7-50 30-05 7-63 .30-01 7-76 29-98 7-89 31 ' < :^2 31-05 7-74 3102 7-88 30-98 8-01 30-95 815 32 ( 33 / ( 33 32-02 7-98 31-98 8-12 31-95 8-26 31-91 8-40 ) ^4 32-99 8-23 32-95 8-37 32-92 8-51 32-88 8-66 34 ( 35 33-96 8-47 33-92 8-62 33-89 8-76 33-85 8-91 35 ( 36 34-93 8-71 34-89 8-86 34-85 901 34-81 9-17 36 37 35-90 8-95 35-86 9-11 33-82 9-26 35-78 9-42 37 38 30-87 9-19 36-83 9-35 3C-79 9-51 36-75 9-67 38 ( 39 37-84 9-44 37-80 9-60 37-76 9-76 37-71 9-93 39 40 38-81 9-68 38-77 9-85 38-73 10-02 38-68 10-18 40 41 39-78 9-92 39-74 10-09 39-69 10-27 39-65 10-44 42 40-75 10-16 40-71 l(,-34 4ii-66 10-52 40-02 10-69 42 43 41-72 10-40 41-68 10-58 41-63 10-77 41 -.58 10-95 43 44 42-69 10- (-.4 42r)5 lt>-83 42-60 11-02 42-55 11-20 44 45 43-()6 10-89 43-62 11-08 43-57 11 -37 43-52 11-46 45 46 44-03 11-13 44-.58 ir.32 44-53 11-.52 44-48 11-71 46 47 45-60 11-37 45-55 11-57 45-50 11-77 45-45 11-97 47 48 46-57 11-61 46-.52 11-82 46-47 12-02 46-43 JQ.OO 48 49 47-54 11-85 47-49 12-0() 47-44 12-27 47-39 12-48 49 ( 50 48-51 12-10 48-46 12-31 48-41 12-52 48-35 12-73 50 i Dep. Lat. Dep. Lat. Dop. Lat. Dep. Lat. L s \ 76 1 )e«. 75} Deo. 75i Deg. 75^ Deg. TRAVERSE TABLE. 101 s - 14 Deg. 14i Deg. Hi Deg. 14!^ Deg. Lat. Dep. Lat. Dep. Lat. Dep, Lat. Dep. 51 49-49 12-34 49-43 12-55 49-38 12-77 49-32 12-98 51 ) 52 50-46 12-58 50-40 12-80 50-34 1302 50-29 13-24 52 ; 53 51-43 12-82 51-37 13-05 51-31 13-27 51-25 13-49 53 ) 54 52-40 13-U6 52-34 13-29 52-28 13-52 52-22 13-75 54 J 55 53-37 13-31 53-31 13-54 53-25 13-77 53-19 14-00 55 ■ / 56 54-34 13-55 54-28 13-78 54-22 14-02 54-15 14-26 56 57 57 55-31 13-79 55-25 1403 55-18 14-27 55-12 14-51 5S 56-28 14-03 56-22 14-28 56-15 14-52 56-09 14-77 58 59 59 57-25 14-27 57-18 14-52 57-12 14-77 57-06 15-C2 60 58-22 14-52 58-15 14-77 58-09 15-02 58-02 15-28 00 \ 61 59-19 14-76 5912 15-02 59-06 15-27 58-99 15-.53 61 ) 62 60-16 15-00 6009 15-26 60-03 15-52 59-96 15-79 62 ) ; 63 61-13 15-24 6108 15-51 60-99 15-77 60-92 16-04 03 ) 64 6210 15-48 62-03 15-75 61-96 16-02 61-89 1629 64 ) 65 63-07 15-72 63 00 16-00 6293 16-27 62-86 16-55 65 ) ) 66 64-04 15-97 63-97 10-25 63-90 16-.^j3 63-83 16-80 66 67 65-01 16-21 64-94 16-49 64-87 16-78 64-79 17-06 67 ) 68 65-98 16-45 65-91 16-74 05-83 17-03 05-76 17-31 68 69 66-95 16-69 66-88 16-98 66-80 17-28 66-73 17-57 69 70 67-92 16-93 67-85 17-23 67-77 17-53 67-09 17-82 70 71 68-89 17-18 68-82 17-48 68-74 17-78 68-06 18-08 71 ) 72 69-S6 17-42 69-78 17-72 69-71 18-03 C9-G3 18-33 72 73 74 75 70-83 17-C6 70-75 17-97 70-07 18-28 70-59 18-59 73 71-80 17-90 71-72 18-22 71-64 18-53 71-56 18-84 74 S 72-77 18-14 72-69 18-46 72-61 18-78 72-53 1910 75 ( 76 73-74 18-39 73-66 18-71 73-58 19-03 73-50 19-35 76 \ 77 74-71 18-63 74-63 18-95 74.55 19-28 74-46 19-()0 11 \ 78 75-68 18-87 75-60 19-20 75-.52 19-53 75-43 19-66 78 ( 79 76-65 19-11 76-57 19-45 76-48 19-78 76-40 20-11 79 ( 80 77-62 19-35 77-54 19-C9 77-45 2003 77-36 20-37 80 J 81 78-59 19-60 78-51 19-94 78-42 20-28 78-33 20-62 81 ( 82 79-56 19-84 79-48 20-18 79-39 20-53 79-30 20-88 82 ( 83 80-53 20-08 80-45 20-43 80-36 20-78 80-26 21-13 83 84 81-50 20-32 81-42 20-C8 81-32 21-03 81-23 21-39 84 85 82-48 20-56 82-38 20-92 82-29 21-28 82-20 21-04 85 86 83-45 20-81 83-35 21-17 83-26 21-53 83-17 21-90 86 ( 87 84-42 2105 84-32 21-42 84-23 21-78 84-13 22-15 87 88 85-39 21-29 85-29 21-66 85-20 22-03 85-10 22-41 88 ( 89 86-36 21-53 86-26 21-91 86-17 22-28 86-07 22-66 89 ( 90 87-33 21-77 87-23 22-15 87-13 22-53 87-03 22-91 90 ( 91 88-30 22-01 88-20 22-40 88-10 22-78 88-00 23-17 91 ( 92 89-27 22-26 89-17 22-65 89-07 23-04 F8-97 23-42 92 ( \ 93 90-24 22-50 90-14 22-89 90-04 23-29 89-94 23-68 m ( 94 91-21 22-74 91-11 23-14 91-01 23-54 90-90 23-93 94 95 92-18 22-98 92-08 23-38 91-97 23-79 91-87 24-19 95 I 96 \ 96 93-15 23-22 93-05 23-63 92-94 24-04 92-84 24-44 97 94-12 23-47 94-02 23-88 93-91 24-29 93-80 24-70 97 ( 98 / 98 95-09 23-71 94-98 24-12 94-88 24-54 94-77 24-95 99 9606 23-95 95-95 24-37 95-85 24-79 95-74 25-21 99 ( 100 97-03 24-19 96-92 24-62 96-81 25-04 96-70 25-46 100 ) 2 .2 ft Dep Lat. Dep. Lat. ■ Dep. Lat. Dep. Lat. i 76 Deo. 75:^1 lEO. 75^ Deg. 75il Deg. 102 TRAVERSE TABLE. 3 1 15 D EG. 1 Lat. Dep. 1 0-97 0-25 2 1-93 0-52 3 2-90 0-78 4 3-86 1-04 5 4-83 1-29 6 5-80 1-55 6-76 1-81 8 7-73 2-07 9 8-69 2-33 10 9-66 2-59 11 10-63 2-85 12 11-59 3-11 13 12-56 3-36 14 13-52 3-62 15 -14-49 3-88 16 15-45 4-14 17 10-42 4-40 18 17-39 4-66 19 18-35 4-92 20 19-32 5-18 21 20-28 5-44 22 21-25 5-69 23 22-22 5-95 24 23-18 6-21 25 24-15 6-47 26 25-11 6-73 27 2(i-08 6-!)9 28 27-05 7-25 29 28-01 7-51 30 28-98 7-76 31 29-94 8-02 32 30-91 8-28 33 31-88 8-54 34 32-84 8-80 35 33-81 9-06 36 34-77 9-32 37 35-74 9-58 38 36-71 9-84 39 37-67 10-09 40 38-64 10-35 41 39-60 10-61 42 40-57 10-87 43 41-53 11-13 44 42-50 11-39 45 43-47 11-05 46 44-43 11-91 47 45-40 12-16 48 46-36 12-42 49 47-33 12-68 50 48-30 12-94 Dep. Lat. s 75 1 Oeq. Jii Deg. TKAYERSE TABLE. 103 } a 15 Leg. pr Deg. m deg. 15| Deg. 1 } - Lat. Dep. L„. Dep. Lat. Dep. Lat. Dep. 51 49-26 13-20 49-20 13-41 49-15 13-63 49-09 13-84 ( 51 ( ( 52 50-23 13-48 50-17 13-(» 50-11 13-90 50-05 14-11 52 / ( 53 51-19 13-72 51-13' 13-94 51-07 14-16 51-01 14-39 53 ) 5-1 52-16 13-98 52-10 14-20 52-04 14-43 51-97 14-66 54 55 5313 14-24 53-06 14-47 53-00 14-70 52-94 14-93 55 5G M09 14-49 54-03 14-73 53-96 14-97 53-90 15-20 56 ( 57 55-06 14-75 54-99 14-99 54-93 15-23 54-86 15-47 57 ( 58 56-02 15-01 55-96 15-26 55-89 1550 55-82 15-74 58 ( 59 56-99 15-27 56-92 15-52 56-85 15-77 56-78 16-01 59 ( 60 57-96 15-53 57-89 15-78 57-82 16-03 57-75 16-29 60 ( \ 61 58-92 15-79 58-85 16-04 58-78 16-30 58-71 16-56 61 ( 62 63 ( ^ G2 59-89 16-05 59-32 16-31 59-75 16-57 59-67 16-83 03 60-85 16-31 60-78 16-57 60-71 16-84 60-63 17-10 . w 61-82 15-56 61-75 16-83 61-67 17-10 61-60 17-37 64 ( ^ 65 62-79 16-82 62-71 17-10 62-64 17-37 62-56 17-64 65 66 } , 66 63-75 17-08 63-68 17-36 63-60 17-64 63-52 17-92 > 67 64-72 17-34 (>i-64 17-62 64-56 17-90 64-48 18-19 67 ' . 68 65-68 17-60 65-61 17-89 65-53 18-17 65-45 18-46 68 ' 6l» 66-65 17-86 66-57 18-15 66-49 18-44 66-41 18-73 69 70 67-61 18-12 67-54 18-41 67-45 18-71 67-37 19-00 70 71 68-58 18-38 68-50 18-68 68-42 18-97 68-33 19-27 71 72 69-55 18-63 69-46 18-94 69-38 19-24 69-30 19-.54 72 73 70-51 18-89 70-43 19-20 70-35 19-51 70-26 19-82 73 74 71-48 19-15 71-39 19-46 71-31 19-78 71-22 20-09 74 75 72-44 19-41 72-36 19-73 72-27 20-04 72-18 20-36 75 '> 76 73-41 19-67 7.3-32 19-99 73-24 20-31 73 15 20-63 76 ) 77 74-38 19-93 74-29 20-25 74-20 20-58 74-11 20-90 77 ) 78 75-34 20-19 75-25 20-52 75-16 20-84 75-07 21-17 78 ) 79 76-31 20-45 76-22 20-78 76-13 21-11 76-03 21-44 7() ) 80 77-27 20-71 77-18 21-04 77-09 21-38 77-00 21-72 80 81 78.24 20-96 78-15 21-31 78-05 21-65 77-96 21-99 81 82 79-21 21-22 79-11 21-57 79-02 21-91 78-92 22-26 82 83 80-17 21-48 80-08 21-83 79-98 22-18 79-88 22-.53 • 83 ( 84 81-14 21-74 81-04 22-09 80-94 22-45 80-85 22-80 84 ( 85 82-10 22-00 82-01 22-36 81-91 22-72 81-81 23-07 85 86 83-07 22-26 82-97 22-62 82-87 22-98 82-77 23-34 86 87 84-04 22-.52 83-94 22-88 83-84 23-25 83-73 23-62 87 88 85-00 22-78 84-90 2315 84-80 23-52 84-70 23-89 ■88 89 85-97 2303 85-87 23-41 85-76 23-78 85-66 24-16 89 90 86-93 23-29 86-83 23-67 86-73 ^-05 86-62 24-43 90 ) 91 87 90 23-55 87-80 23-94 87-69 24-32 87-58 24-70 91 92 88-87 23-81 88-76 24-20 88-65 24-59 88-55 24-97 92 93 89-83 24-07 89-73 24-46 89-62 24-85 89-51 25-24 93 ) 94 90-80 24-33 90-69 24-72 90-58 25-12 90-47 25-52 94 95 9] -76 24-59 91-65 24-99 91-54 25-39 91-43 2.5-79 95 ) 96 92-73 24-85 92-62 25-25 92-51 25-65 92-40 26-06 96 ; 97 93-69 25-11 93-.58 2.5-51 93-47 25-92 93-36 26-33 97 7 98 94-66 25-36 94-55 25-78 94-44 26-19 94-32 26-60 98 ) 99 95-63 2.5-62 95-51 26-04 95-40 26-46 95-28 26-87 99 100 96-.59 25-88 96-48 26-30 96-36 26-72 96-25 27-14 100 ) Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 ( 75 I )eg. ,74*1 3k6. 74,^ Deg. 74i Deg. 104 TRAVERSE TABLE. 16 Dec. 16^ Deo. 16i Deg. 16^ Deo. 7] Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-96 0-28 0-96 0-28 0-96 0-28 0-06 0-29 1 ( 2 1-92 0-55 1-92 0-56 1-92 0-57 1-92 0-58 2 ( 3 2-88 0-83 2-88 0-84 2-88 0-85 2-87 0-86 3 ( 4 3-85 110 3-84 1-12 3-84 1-14 3-83 1-15 4 4-81 1-38 4-80 1-40 4-79 1-42 4-79 1-44 5 5-77 1-65 5-76 1-08 5-75 1-70 5-75 1-73 6 ( 6-73 1-93 6-72 1-96 6-71 1-99 6-70 2-02 7 ( 7-69 2-21 7-68 2-24 7-67 2-27 7-(6 2-31 8 / ) 9 8-65 2-48 8-64 2-52 8-63 2-56 8-62 2-59 9 I J 10 9-Gl 2-76 9-60 2-80 9-59 2-84 9-58 2-88 10 > h^ 10-57 303 10-56 3-OS 10-55 312 10-53 3-17 11 1 ( 12 11-54 3-31 11-52 3-36 11-51 3-41 11-49 3-46 12 > ( 13 12-50 3-58 12-48 3-64 12-46 3-69 12-45 3-75 13 ) 14 13-46 3-86 13-44 3-92 13-42 3-98 13-41 4-03 14 > 15 14-42 4-13 14-40 4-20 14-38 4-26 14-36 4-32 15 > l(j 15-38 4-41 15-36 4-48 15-34 4-54 15-32 4-61 16 ) ( -17 16-34 4-69 16-32 476 16-30 4-83 16-28 4-90 17 ) ( lb 17-30 4-96 17-28 5-04 17-26 5-11 17-24 5-19 18 > IJ 18-20 5-24 ■ 18-24 5-32 18-22 5-40 1819 5-48 19 •> ^ 20 19-23 5-51 19-20 5-60 19-18 5-68 19-15 5-'i6 20 \ 21 20-19 5-79 20-16 5-88 20-14 5-96 20-11 6-05 21 S 52-2 21-15 6-06 21-12 6-16 21-09 6-25 21-07 6-34 22. S 23 22-11 6-34 22-08 6-44 22-05 6-53 22-02 6-63 23 / 24 23-07 6-62 23-04 6-72 23-01 6-82 22-98 6-92 24 S > 25 24-03 6-89 2400 7-00 23-97 7-10 23-94 7-20 25 S ; 20 24-99 7-17 24-96 7-28 24-93 7-38 24-90 7-49 26 ( 27 25-95 7-44 25-92 7-56 25-89 7-67 25-85 7-18 27 ( ) 28 26-92 7-72 2()-88 7-84 26-85 7-95 26-81 8-07 28 ( ) 29 27-88 7-99 27-84 8-11 27-81 8-24 27-77 8-36 29 (. ^ 30 28-84 8-27 28-80 8-39 28-76 8-52 28-73 8-65 30 31 29-80 8-54 29-76 8-67 29-72 8-80 29-68 8-93 31 ( 32 30-76 8-82 30-72 8-95 30-68 9-()9 30-64 9-22 32 ( 33 31-72 9-10 31-68 9-23 31-64 9-37 31-60 9-51 33 ( 34 32-68 937 32-64 9-51 32-60 9-66 32-56 9-80 34 ( 35 33 64 9-65 33-60 9-79 33-56 9-94 33-51 10-09 35 ( 36 34t.l 9-92 34-56 10-07 34-52 10-22 34-47 10-38 36 ( 37 35-57 10-20 35-52 10-35 35-48 10-51 35-43 10-60 37 < 38 36-53 10-47 30-48 10-63 36-44 10-79 36-39 10-95 38 I 3y 37-49 10-75 37-44 10-91 37-39 11-08 37-35 11-24 39 / } 40 38-45 1103 38-40 1119 38-35 11-.36 38-30 11-53 40 ? J 41 39-41 11-30 39-36 11-47 39-31 11-64 39-26 11-82 41 ( ) 42 40-37 11-58 40-32 11-75 40-27 11-93 40-22 1210 42 / ) 43 41-33 11-85 41-28 12-03 41-23 12-21 41-18 12-39 43 I } 44 42-30 12-13 42-24 12-31 42-19 12-5!) 42-13 12-68 44 / } 45 43-26 12-40 43-20 12-59 43-15 12-78 4309 12-97 45 ; 4G 44-22 12-68 44-16 12-87 44-11 13-06 44-05 13-26 46 ) 47 4518 12-95 45-12 13-15 4.5-06 13-35 4501 13-55 47 ) ) 48 4614 13-23 46-08 13-43 46-02 13-63 45-96 13-83 48 ) ) 49 47-10 13-51 47-04 13-71 46-98 13-92 46-92 14-12 49 ) j 50 48-06 13-78 48-00 13-99 47-94 14-20 47-88 14-41 50 > i ( 1 Q ( 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 74 Deo. 73J] Deg. '>^ Deq. in Deg. TRAVERSE TABLE. 105 \l 16 Deg. 16.^ Deg. 16.V Deg. I 16:^ 1 Deg. 1 f 51 Lat. Dep. Lat. Dep. Lat. Dep. ■ Lat. Dep. \ 51 4902 14-0!) 48-96 14-27 4'^-90 14-48 48-8^1 14-70 / 52 49-99 1433 49-92 14-55 49-86 14-77 1 49-79 14-93 52 / 53 50-95 14-61 50-88 14-83 50 82 15-05 1 50-75 15-27 53 54 51-91 14.88 51-84 15-11 51-78 15-34 51-71 15-50 54 55 52-87 15-16 52-80 15-39 52-74 15-()2 52-67 15-85 55 56 53-83 15-44 53-76 15-67 53-69 15-90 53-62 16-14 5G 57 54-79 15-71 54-72 15-95 54-65 16-19 54-58 lG-43 57 58 55-75 15-99 55-68 16-23 5.5-61 16-47 55.54 16-72 58 59 56-71 16-26 56-64 16-51 56-.57 16-76 56-50 17-00 59 60 57-68 16-54 57-60 16-79 57-53 17-04 57-45 17-29 60 61 58-64 16-81 58-56 17-07 58-49 17-32 58-41 17-58 61 62 59-60 17-09 59-52 17-35 .59-45 17-61 59-37 17-87 62 63 60.56 17-37 60-48 17-63 60-41 17-89 60-33 18-10 63 64 61.52 17-64 61-44 17-91 61-36 18-18 61-28 18-44 64 ) 65 ■ 62-48 17-92 62-40 18-19 62-32 18-46 62-24 18-73 65 66 63 44 18-19 63-36 18-47 63-28 18-74 63-20 19-02 66 67 64-40 18-47 64-32 18-75 64-24 19-03 64-16 19-31 67 68 65-37 18-74 65-28 19-03 65-20 19-31 6511 19-60 68 69 66-33 19-02 66-24 19-31 66-16 19-60 66-07 19-89 69 70 67-29 19-29 67-20 19-59 67-12 13-88 67-03 20-17 70 71 ) VI 68-25 19-57 68-16 19-87 68-08 20-17 67-99 20-46 ) 72 69-21 19-85 69-12 20-15 69-03 20-45 68-95 20-75 72 73 ) 73 70-17 20-12 70-08 2043 69-99 20-73 69-90 - 21-04 ) 74 71-13 20-40 71-04 20-71 70-95 21-02 70-86 21-33 74 ) 75 72-09 20-67 72-00 20-99 71-91 21-30 71-82 21-61 75 76 7306 20-95 72-96 21-27 72-87 21.59 72-78 21-90 76 77 74-02 21-22 73-92 21-.55 73-83 21-87 73-73 22-19 77 } 78 74-98 21-50 74-88 21-83 74-79 22-15 74-69 22-48 78 ) 79 75-94 21-78 75-84 22-11 75-75 22-44 '75-65 22-77 79 80 76-90 2-2-05 76-80 22-39 76-71 22-72 76-61 23-06 80 81 77-86 22-33 77-76 22-67 77-66 23-01 77.56 23-34 81 } 82 78-82 22-60 78-72 22-95 78-62 23-29 78-52 23-63 82 ( 83 79-78 22-88 79-68 23-23 79-53 23-57 79-48 23-92 83 ( 84 80-75 23-15 80-64 23-51 80-.54 23-86 80-44 24-21 84 ( 85 81-71 23-43 81-00 23-79 81-50 24-14 81-39 24-.50 85 88 82-67 23-70 82-56 24-07 82-46 24-43 82-35 24-78 86 87 I 87 83-63 23-98 83-.52 24-35 8.3-42 24-71 83-31 25-07 ( 88 84-59 lM-26 84-48 24-62 84-.38 24-99 84-27 25-36 88 ( { 89 85-55 24-53 85-44 24-90 85-33 25-28 85-22 25-65 89 ( ( 90 r 86-51 24-81 86-40 25-18 86-29 25-56 86-18 25-94 90 ( 91 87-47 25-08 87-36 25-46 87-25 25-85 87-14 26-23 91 I 92 88-44 25-36 88-32 25-74 88-21 26-13 8810 26-51 92 93 89-40 25-63 89-28 26-02 89-17 26-41 89-05 26-80 93 94 99-36 25-91 93-24 26-30 99-13 26-70 9001 27-09 94 95 91-32 26-19 91-20 26-58 91-09 26-98 90-97 27-38 95 96 92-28 26-46 92-16 26-86 92-05 27-27 91-93 27-67 96 97 93-24 26-74 93-12 27-14 9301 27-55 92-88 27-95 97 98 94-20 27-01 94-08 27-42 93-96 27-83 93-84 28-24 98 ( 99 9.5-16 27-29 95-04 27-70 94-92 28-12 94-80 28-.53 99 ( 100 96-13 27-56 9600 27-98 95-88 28-40 95-76 28-82 100 ( ) ) c ) 1 Dep. Lat. Dep. Lat. Dep. ,.„. Dep. Lat. i\ 74 Deg. 73J Deg. 73iJ 3eg. 73il Deg. 106 TRAVERSE TABLE. m Deg. Lat. Dep. 0-95 0-30 1 J -90 061 2 2-86 0-91 3 3-81 1-22 4 4-76 1-52 5 ^ 5-71 1-83 r. \ C-67 213 7 7C2 2-44 8 8-57 2-74 9 ) 9-52 3-05 10 J 10-48 3-35 11 S 11-43 3-66 12 12-38 3-96 13 E TABLE, 10- 1 ^ 17 Deq. 17i Dkg. m deg. 1 17^ Deg. 1 J Lr.t. Dep. Lau Uep. Lat. De, Lat. Dep. ( 51 48-77 14-91 4 =-71 15-12 48-64 15-34 48 57 15-55 51 ; ( 5-2 49-73 15-20 49-66 15-42 49-59 l.>-64 49-52 15-85 52 ( 5:^ 50-68 15-50 50-62 15-72 50-55 15-94 5J-48 15-10 53 ( 54 5164 15.79 51-57 10-01 51-50 16--24 51-43 16-46 54 / 55 52-60 lG-03 5-2-53 16-31 52 45 16-54 52-38 16-77 55 ( 5i) 53-55 16-37 53-48 16-61 53-41 16-84 53-33 17-07 56 ( 57 54-51 16-67 54-44 16-90 54-36 17-14 54-29 17-38 57 ( 58 55-47 16-96 55-39 17-20 55-32 17-44 55-24 17-68 58 ( 59 50-42 17-25 56-35 17-50 56-27 17-74 56-10 17-99 59 ( 60 57-38 17-54 57-30 17-79 57-22 18-04 57-14 18-29 60 < 61 58-33 17-83 58-26 18-09 58-18 18.34 .58-10 18-60 61 ( 6-2 59-23 18-13 59-21 18-39 59-13 18-54 59-05 18-90 62 63 < 63 6U-25 18-42 60-17 18-63 60-03 18-94 60-00 19-21 < 64 61-20 18-71 61-12 18-93 61-04 19-25 60-95 19-51 64 (. 65 62-16 19-00 6-2-08 19-23 61-99 19-55 61-91 19-82 65 < 66 63-12 19-30 6303 19-57 62-95 19-85 62-86 20-12 66 ; < 67 64-07 19-59 63-99 19-87 63-90 20-15 63-81 20-43 67 / < 68 65-03 19-83 64-94 2J-16 64-85 20-45 64-76 20-73 6.3 ; 69 '^ m 65-99 20-17 65-90 20-46 65-81 20-75 65-72 21-04 70 66-94 20-47 66-85 20-70 66-76 21-05 68-67 21-34 70 ) 71 67-90 20-76 67-81 21-05 67-71 21-35 67-62 21-65 71 ; 72 68-85 21-05 68-76 21-35 68-67 21-65 68-57 21-95 72 ) 73 69-81 21-34 69-72 21-65 69-62 21-95 69-.52 2-2-26 73 ; ) '74 70-77 21-64 70-67 21-94 70-.58 22-25 70-48 22-56 74 < 75 71-72 21-93 71-63 22-24 71-53 22.55 71-43 22-86 75 ) ) 76 72-68 22-22 72-58 22-54 72-48 22-85 72-38 23-17 76 ) < 77 73-64 22-51 73-54 2-2-83 73-44 -23-15 73-33 23-47 77 ) ) 78 74-59 2-2-89 74-49 23-13 74-39 23-46 74-29 23-78 78 ) ) 79 75-55 23-10 75-45 23-43 75-34 23-76 75-24 24-08 79 j 80 76-50 23-39 76-40 23-72 76-30 24-06 76-19 24-39 80 ) ; 81 77-46 23-68 77-36 24-02 77-25 24-36 77-14 24-69 81 S 82 78-42 23-97 78-31 24-32 78-20 24-66 7810 25-00 82 ) 83 79-37 24-27 79-27 24-61 79-16 25-96 79-05 25 30 83 ) 84 80-33 24-56 80-22 24-91 80-11 2.5-26 80-00 2.5-61 84 85 ) ) 85 81-29 24-85 81-18 25-21 81-07 25-56 80-95 25-91 ) 86 82-24 25-14 82-13 25-.50 82-02 25-80 81-91 26-22 86 ) > 87 83-20 25-44 83-09 25-80 82.97 26-16 8-2-86 26-.V2 87 88 ; 88 84-15 1 25-73 84-04 26-10 83-93 2(5-46 83-81 26-83 89 85-11 ' 26-02 85-00 26-39 84-88 26-76 84-76 27-13 89 ) 90 ) 90 86-07 ; 26-31 85-95 20-69 85-83 27-06 85-72 27-44 ) 91 87-02 I 26-61 86-91 20-99 86-79 27-36 86-67 27-74 / 91 ) ) 92 87-98 26-90 87-86 27-23 87-74 27-68 87-62 23-05 92 ) 93 88-94 27-19 88-82 27-58 88-70 27-97 83 57 23 35 93 ) 94 89-89 27-48 89-77 27-87 89-05 28-27 89-53 28-60 94 ) 95 90-85 27-78 90-73 28-17 »0-60 28-.i7 90-48 28-96 95 ) 98 91-81 : 23-07 91-68 28-47 91-.56 28-87 91-43 29-27 96 97 98 97 9278 23-36 92-64 23-76 92-51 29-17 9-2-38 29.57 98 93-72 28-65 93-59 29-06 93-46 29-47 93-33 29-83 ) 99 94-67 1 28-94 94-55 29-36 94-42 29-77 94-29 30-18 99 )100 95-63 I 29-24 95-50 29-65 95.37 30-07 95-24 30-49 100 j ) Dep. { Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 73] Deq. 72J Deo. 72i Deg. 72i Deg. 108 TRAVERSE TABLE. TRAVERSE TABLE, 109 I 5 i P 18 D EG. 18i Deg. 18i Deg. 18J Deg. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 43-50 15-76 48 43 15-97 48-36 16-18 48-29 16-39 51 i 52 49-45 16-07 49-38 16-28 49-31 16-50 49-24 16-71 52 ( 53 50-41 16-38 50-33 16-60 50-26 16-82 50-19 17-04 53 ( 54 51.36 16-69 51-28 16-91 51-21 17-13 51-13 17-36 54 ( . 55 52-31 17-00 52 23 17-22 5-2-16 17-45 .52-08 17-68 55 \ ' 5o 53-26 17-30 53-18 17-54 53-11 17-77 53-03 18-00 56 ( 57 54-21 17-61 54-13 17-85 54-05 18-09 53-98 18-32 57 ( 58 5516 17-92 55-08 18-16 5500 18-40 54 92 18-64 58 ( 59 5611 18-23 56-03 18-48 55-95 18-72 55-87 18-96 59 ( 60 57-06 18-54 56-98 18-79 56-90 19-04 56-82 19-29 60 j 61 58-01 18-85 57-93 19-10 57-85 19-36 57.76 19-61 61 62 58-97 19-16 58-83 19-42 58-80 19-67 58-71 19-93 62 63 59-92 19-47 59-83 19-73 59-74 19-99 59.66 20-25 63 64 60-87 19-78 60-78 20-04 60-69 20-31 60 60 20-57 64 { 65 61-82 20-09 61-73 20-36 61-64 20-62 61-55 20-89 65 66 62-77 20-40 62-68 20-67 62-59 20-94 62-50 21-22 66 67 63-72 20-70 63-63 20-98 63-54 21-26 63-44 21-54 67 ( 68 64-67 2101 64-58 21-.30 64-49 21-58 64-39 21-86 68 ( 69 65-62 21-32 65-53 21-61 65-43 21-89 65-34 22-18 69 ( /70 66-57 21-63 66-48 21-92 66-38 22-21 66-29 22-50 70 ( ( h^ 67-53 21-94 67-43 22-23 67-33 22-53 67-23 22-82 71 ( 72 68-48 22-25 68-38 22-55 08-23 22-85 68-18 23-14 72 73 69-43 22-56 69-33 22-86 6923 23-16 6913 23-47 73 '-* 70-38 22-87 70-28 23-17 70-18 23-48 70-07 23-79 74 75 71-33 23-18 71-23 23-49 71-12 23-80 71-02 ^-11 75 76 72--28 23-49 72-18 23-80 72-07 24-12 71-97 24-43 76 77 73-23 23-79 73-13 24-11 73-02 24-43 72-91 24-75 77 78 74-18 24-10 74.08 24-43 73-97 24-75 73-86 25-07 78 ) 79 75-13 24-41 7503 ^-74 74-92 25-07 74-81 25-39 79 ) 80 76-08 24-72 75-98 25-05 75-87 25-38 75-75 25-72 80 ) 81 77.04 25-03 76.93 25-37 76-81 25-70 76-70 26-04 81 ) 82 7799 25-34 77-88 2.5-63 77-76 26-02 77-65 26-38 82 ( 83 78-94 25-65 78-83 25-99 78-71 26-34 78-60 26-68 83 84 79.89 25-96 79-77 26-31 79 66 26-65 79-54 27-00 84 85 80.84 26-27 80-72 26-62 80-61 26-97 80-49 27-32 85 86 81.79 26-.58 81-67 26-93 81 -.56 27-29 81-44 87-64 86 I 87 82.74 26-8-3 82-62 27-25 82-.50 27-61 82-38 27-97 87 88 83.69 27-19 83-.57 27-56 83-45 27-92 83-33 28-29 88 / 89 84.64 27-50 84-. 52 27-87 84-40 28-24 84-28 28-61 89 r 90 85.60 27-81 85-47 28-18 85-35 28-56 85-22 28-93 90 \ ) 91 8G.55 28-12 86-42 28- .50 86.30 28-87 86-17 29-25 91 / ) 92 87.50 28-43 87-37 28-81 87-25 2919 87-12 29-57 92 ? 93 88.45 28-74 88-32 29-12 88-19 29-51 88-06 29-89 93 / 94 89.40 29-05 89-27 29-44 8914 29-83 F9-01 30-22 94 / 95 9035 29-36 90-22 29-75 90-09 30-14 89-96 30-54 95 ( ) 96 9i-30 29-67 91-17 30-06 91-i!4 30-46 ■.)0-91 30-86 96 I ) 97 92-25 29-97 92-12 30-38 91-99 30-78 91-85 31-18 97 ? 98 93-20 30-28 9'5-07 30-09 92-94 31-10 92-80 31-.50 98 ( ) 99 94 15 30-59 9402 31-00 93-88 31-41 93-75 31-82 99 ( hoc 9511 30-90 94-97 31-32 94-83 31-73 94-69 32-14 Lat. 100 = .2 a Dep. Lai. Dep. Lat. Dep. Lat. Dep. 1 "2 Deg. 711 Deg. m Deg. 71i Deg. 10 no TRAVERSE TABLE. ) 5 19 Deg. 19i Deg. m Deg. m Deg. c ( £ ( - ) ? 1 ( \ •" Lat. Dep. Lat. Dep. Lat. Dep. Lat. 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Lat. Dep. 70J Lat. Deg. Dep. Lat. Dep. Lai. 71 Deg. 70.i Deg. 10k Deg. TRAVERSE TABLE. Ill o s. i 51 19 Deq. m Deg. 19J Deg. 19J Deg. 1 1 Lat. 43-22 Dep. Lat. Dep. Lat. Dep. Lat. Dep. 3 ) ^ 16-60 48-15 16-81 48-07 17-02 48-00 17-23 51 > 5-2 4JJ7 16-93 4909 17-14 49-02 17-36 48-94 17-57 52 ) , 53 50-11 17-26 .50-04 17-47 49-96 17-69 49-88 17-91 53 ) . 54 51-06 17-58 50-93 17-80 50-90 18-03 50-82 18-25 54 ) ; 55 5-j-oa 17-91 51-92 18-13 51-85 18-36 51-76 18.59 55 ) ) 56 52-95 18-23 5-2-87 18-46 52-79 18-69 52-71 18-92 56 ) , 57 53-89 18-58 53-81 18-79 53-73 19-03 53-65 19-26 57 ) 1 58 54-84 18-88 54-78 19-12 54-67 19-36 54-59 19-60 58 / J 5i) 5.3- 7 J 19-21 55-70 19-45 55-62 19-69 55-53 19-94 59 > 60 56-73 19-53 56-65 19-78 56-56 20-03 56 47 20-27 60 j 61 57-68 19-80 57-59 20-11 57-50 20-36 57-41 20-61 61 ) 62 58-62 20-19 58-53 20-44 58-44 20-70 .58-35 20-95 62 ) 63 59-57 20-51 59-48 20-77 59-39 21-03 59-29 21-29 63 ) 64 60-51 20-84 60-42 21-10 60-33 21.36 60-24 21-63 64 ) 65 61-40 21-16 61-37 21-43 61-27 21-70 61-18 21-96 65 ) 66 6-2-40 21-49 62-31 21-76 62-21 22-03 6-312 22-30 66 ) 67 63-35 21-81 63-25 22-09 63-16 22-37 63-06 22-04 67 ) 68 64-30 22-14 64-20 22-42 64-10 22-70 64-00 22-98 68 ) 69 65-24 22-46 65-14 22-75 65-04 23-03 64-94 23-32 69 ) 70 66-19 22-79 66-09 23-08 65-98 23-37 65-88 23-65 70 J 71 6713 2312 67-03 23-41 66-93 23-70 66-82 23-99 71 J 72 68-08 23-44 67-97 23-74 67-87 24-03 67-76 24-33 72 ) 73 69-02 23-77 63-92 24-07 68-81 24-37 68-71 24-67 73 ) 74 69-97 24-09 69-86 24-40 69-76 24-70 69-65 25-01 74 ) 75 70-91 24-42 70-81 24-73 70-70 25-04 70-59 2.5-34 75 76 71-86 24-74 71-75 25-06 71-64 25-37 71-53 25-68 76 77 72-80 25-07 72-69 25-39 72-58 25-70 72-47 26-02 77 78 73-75 25-39 73-64 25-72 73.53 26-04 73-41 26-36 78 y ) 79 74-70 25-72 74-58 26-05 74-47 26-37 74-35 26-70 79 ) j 80 75-64 26-05 75-53 26-38 75-41 26-70 75-29 27-03 80 j 81 76-59 26-37 76-47 26-70 76-35 27-04 76-24 27-37 81 J 82 ) 83 77-53 26-70 77-42 27-03 77-30 27-37 77-18 27-71 82 S 78-48 27-02 78-36 27-36 78-24 27-71 78-12 28-05 83 ) 84 79-42 27-35 79-30 27-69 79-18 28-04 79-06 28-39 84 S ) 85 80-37 27-67 80-25 28-02 80-12 28-37 80-00 28-72 85 ) ) 86 81-31 28-00 81-19 28-35 81-07 28-71 80-94 29-06 86 ) 87 82-26 28-32 8-2-14 28-68 82-01 29-04 81-88 29-40 87 S 88 83-21 28-65 83-08 29-01 8-2-95 29-37 82-82 29-74 88 ( 89 84-15 28-98 84-02 29-34 83-i)n 29-71 83-76 .30-07 89 ( 90 85-10 29-30 84-97 29-67 84-84 30-04 84-71 30-41 90 J ) 91 86-04 29-63 85-91 30-00 85-78 30-38 85-65 30-75 91 ( 92 86-99 29-95 86-86 30-33 86-72 30-71 86-59 31-09 42 ( 93 87-93 30-28 87-80 30-66 87-67 31-04 87-53 31-43 93 ( 94 88-88 30-60 88-74 30-99 88-61 31-38 88-47 31-76 94 ( 95 89-82 30-93 89-69 31-32 89-55 31-71 89-41 32-10 95 ( 95 90-77 31-25 90-63 31-65 90-49 32-05 90-35 32-44 96 ( ) i*"^ 9 J -72 31-58 91-58 31-98 91-44 32-38 91-29 32-78 97 ( ) 98 92-66 31-91 92-52 32-31 92-38 3-2-71 92-24 33-12 98 ) 99 93-61 32-23 93-46 32-64 93.32 33-05 93-18 33-45 99 ( jioo il r. 94-55 32-56 94-41 32-97 94-26 33-38 9412 33-79 100 ( Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. S 71 Deg. 70J Deg. 701 Deg. 70i Deg. M ( 1 1 TRAVERSE TABLE. 20 Deg. 20i Deg. 20J Deg. I 205 Deg. • i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-94 0-34 0-94 0-35 0-94 0-35 0-94 0-35 1 ( 2 1-88 0-68 1-88 0-69 1-87 0-70 1-87 0-71 3 2-82 1-03 2-81 1-04 2-81 1-05 2-81 1-06 3 ( 4 3-76 1-37 3-75 1-38 3-75 1-40 3-74 1-42 4 ( 5 4-70 1-71 4-69 1-73 4-68 1-75 4-68 1-77 5 ( G 5-f54 2-05 5-63 2-08 5-62 2-10 5-61 2-13 6 ( 7 6-58 2-39 6-.57 2-42 6-56 2-45 6-55 2-48 7 ( 8 7-52 2-74 7-51 2-77 7-49 2-80 7-48 2-83 8 < 9 •8-46 •S-{j8 8-44 3-12 8-43 3-15 8-42 3-19 9 i 10 9-40 3-42 9-38 3-46 9-37 3-50 9-35 3-54 10 ( 11 10-34 3-76 10-32 3-81 10-30 3-85 10-29 3-90 11 ( 12 11-28 4-10 11-26 4-15 11-24 4-20 11-22 4-25 12 ( 13 12-22 4-45 12-20 4-50 12-18 4.55 12-16 4-61 13 14 l.MG 4-79 13-13 4-85 13-11 4-90 13-0'j 4-96 14 15 14-10 5-13 14-07 5-19 14-05 5-25 14-03 5-31 15 ( 16 15-04 5-47 15-01 5-54 14-99 5-60 14-96 5-67 16 17 15-97 5-81 15-95 5-88 15-92 5-95 15-90 6-02 17 18 16-91 6-16 10-89 6-23 16-86 6-30 16-83 6-38 18 19 17-85 6-50 17-83 6-58 17-81 6-65 17-77 6-73 19 20 18-79 6-84 18-76 6-92 18-73 7-00 18-70 7-09 20 21 19-73 7-18 19-70 7-27 19-67 7-35 19-64 7-44 21 22 20-67 7-52 20-64 7-61 20-61 7-70 20-57 7-79 22 23 21-01 7-87 21-58 7-96 21-54 8-05 21-51 8-15 2.3 24 22-55 8-21 22-.=)2 8-31 22-48 8-40 22-44 8-50 24 25 23-49 8-55 23-45 8-65 23-42 8-76 23-38 8-86 25 2G 24-43 8-89 24-39 900 24-35 9-11 24-31 9-21 26 27 25-37 9-23 25-33 9-35 25-29 9-46 25-25 9-57 27 28 2(5-31 9-.58 26-27 9-69 26-23 9-81 26-18 9-92 28 29 27-25 9-92 27-21 1004 27-16 10-16 27-12 10-27 29 30 28-19 10-26 28-15 10-38 28-10 10-51 28-05 10-63 30 31 29-13 10-60 29-08 10-73 29-04 10-86 28-99 10-98 31 32 30-07 10-94 3002 11-08 29-97 11-21 29-92 11-34 32 33 31-01 11-29 30-96 11-42 30-91 11-.56 30-86 11-69 33 34 31-95 11-63 31-90 11-77 31-85 11-91 31-79 12-05 34 35 32-89 11-97 32-84 12-11 32-78 12-26 32-73 12-40 35 36 33-83 12-31 33-77 12-46 33-72 12-61 .33-66 12-75 36 37 34-77 1265 34-71 12-81 34-66 12-96 34-60 13-11 37 38 35-71 13-00 35-65 13-15 35-59 13-31 .35 54 13-46 38 39 36-65 13-34 36-59 13-50 36-53 13-66 36-47 13-82 39 40 37-59 13-68 37-53 13-84 37-47 14-01 37-41 14-17 40 41 38-53 14-02 38-47 14-19 38-40 14-36 38-34 14-53 41 42 39-47 14.36 39-40 14-54 39-34 14-71 39-28 14-88 42 43 40-41 14-71 40-34 14-88 40-28 1.5-06 40-21 15-23 43 44 41-35 15-05 41 -28 1.5-23 41-21 1.5-41 41-15 15 59 44 45 42-29 15-39 42-22 15-.58 42-15 15-76 42-08 15-94 45 46 43-23 15-73 43-16 15-92 43-09 16-11 43-02 16-.30 46 47 44-17 16-07 44-09 16-27 44-02 16-46 43-95 16-65 47 48 45-11 16-42 4503 16-61 44-96 16-81 44-89 17-01 48 49 4604 16-76 45-97 16-96 45-90 17-16 4.5-82 17-36 49 50 46-98 1710 46-91 17-31 46-83 17-51 46-76 17-71 50 1 Dep. L.at. Dep. Lat. Dep. Lat. Dep. Lat. i 70 ] Deg. m Deg. 69i Deg. 69i Deg. TRAVERSE TABLE. 113 i7^ 20 Deg. 20i Deo. 20,^ Deg. 20| Deo. 11 '1 51 52 Lat. Dep. Lat. Dep. Lat, Dep. Lat. Dep. 51 47-92 17-44 47-85 17-65 47-77 17-86 47-69 18-07 52 48-86 17-79 48-79 18-00 48-71 18-21 48-63 18-42 53 4:i-80 18-13 49-72 18-34 49-64 18-56 49-56 18-78 53 } 54 59-74 18 47 50-66 18-69 50-58 18-91 50-50 19-13 54 / 55 51-68 18-81 51-60 19-04 51-52 19-26 51-43 19-49 55 5G 52-62 1915 52-54 19-38 52-45 19-61 52-37 19-84 56 / 57 57 53-56 19-50 53-48 19-73 53-39 19-96 53-30 2J-19 58 54-59 19-84 54-42 20-07 54-33 20-31 54-24 20-55 58 59 55-44 20-18 55-35 20-42 55-Si6 20-66 55-17 20-90 59 ( 60 56-38 20-52 56-29 20-77 56-20 21-01 56-11 21-25 60 / ' Gl 57-32 20-86 57-23 21-11 57-14 21-36 57-04 21-61 61 / iU 58-26 21-21 58-17 21-46 58-07 21-71 57-98 21-97 62 ( (33 59-20 21-55 .59-11 21-81 59-01 22-06 58-91 22-32 63 ( f 64 60-14 21-89 60-04 22-15 59-95 22-41 59-85 22-67 64 ( ( 65 61-08 22-23 60-98 22-50 60-88 22-76 60-78 23-03 65 ( / 66 6202 22-57 61-92 22-84 61-62 23-11 61-72 23-38 66 / 67 62-96 22-92 62-86 23-19 62-76 23-46 62-65 23-74 67 I I 68 83-90 23-2o 63-80 23.54 63-69 23-81 63-59 24-09 68 ( ( 69 64-84 23-60 64-74 23-88 64-63 24-16 64-52 24-45 69 I ) ^" 63-78 23-94 65-67 24-23 65-57 24-51 65-46 24-80 70 } 71 66-72 24-28 66-61 24-57 66-50 24-86 66-39 25-15 71 ( ( 72 67-66 24-63 67-55 •24-92 67-44 25-21 67-33 25-51 72 I ( 73 68-60 24-97 68-49 25-27 68-38 25-57 68-26 25-86 73 ( 74 69-54 25-31 69-43 25-61 69-31 25-92 69-20 26-22 74 ( ; 75 70-4a 25-65 70-36 2o-U 27-07 10-39 27-03 10-51 26-98 10-63 26-94 10-75 29 ) J 3U 28-01 10-75 27-96 10-87 27-91 11-00 27-86 11-12 30 ) ! 31 28-94 11-11 28-89 11-24 28-84 11-36 28-79 11-49 31 J 32 ) 32 29-87 11-47 29-82 11-60 29-77 11-73 29-72 11-86 33 30-81 11-83 30-76 11-96 30-70 12-09 .30-65 12-23 33 S 34 31-74 12-18 31-69 12-32 31-63 12-46 31-58 12-00 34 ) 35 32-68 12-54 32-62 12-69 32-56 12-83 32-51 12-97 35 36 3361 12-yo 33-55 13-05 33-50 13-19 33-44 13-34 36 S 37 34-54 13-26 34-48 13-41 34-43 13-56 .34-37 13-71 37 S 38 35-48 13-62 35 42 13-77 35-36 13-93 35-29 14-08 3S ) 39 40 41 36-41 13-98 36-35 14-14 36-29 14-29 36-22 14-45 39 37-34 14-33 37-28 14-50 37-22 14-66 37-15 14-82 40 38-28 14-69 38-21 14-86 38-15 15-03 38-08 l.rl9 41 42 39-21 15-05 39-14 1522 39-08 15-39 39-01 15-56 42 ) 43 40-14 15-41 40-08 15-58 40-01 15-76 39-94 15-93 43 , ) 44 41-08 15-77 41-01 15-95 40-94 16-13 40-87 16-30 44 ') 45 { 46 ( 47 ( 48 49 S 45 42-01 16-13 41-94 16-31 41-87 16-49 41-80 16-68 46 42-94 16-48 42-87 16-67 42-80 16-86 42-73 17-05 47 43-88 16-84 43-80 17-03 43-73 17-23 43-65 17-42 < 48 44-81 17-20 44-74 17-40 44-66 17-59 44-58 17-79 ( 49 45-75 17-56 45-07 17-76 45-.59 17-96 45-51 18-lG < 50 46-68 17-92 46-60 18-12 46-52 18-33 46-44 18-53 50 ^ ) c ) 2 ( .iS Dep. Lat. Dep. Lat. Dep. Lat. Dep. 68i Lat. Deg. i ^ 69 Deq. 68| Deg. 68^ Deg. 1 ^. TRAVERSE TABLE, 115 ) 21 Deg. 21:1 Deo. 2U Deo. 21]- Deo. 2' Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ^ / 51 47-61 18-28 47-53 18-48 47-45 18-09 47-37 18-90 5, i 52 48-55 18-ii4 48-46 18-85 48-38 19-00 48-30 19-27 52 ) ^ 53 49-48 18-99 49-40 10-21 4931 19-42 49-23 19-64 53 ) . 54 50-41 19-35 50-33 19-57 50-24 19-79 50-16 20-01 54 ; 55 51-35 19-71 51-26 19-93 51.17 2 J- 16 51-08 20-38 55 ) 56 5-2-2S 20-07 52-19 20-30 .52-10 20-52 52-01 20-75 56 ) 57 53-21 20-43 53-12 20-66 53-03 20-89 5-2-94 21-12 57 ) 53 5415 20-79 54-u6 21-02 53-96 21-28 53-87 21-49 58 ) od 55-08 21-14 54-99 21-38 54.89 21-62 54-80 21-86 59 ) 60 5601 21-50 55-92 21-75 55-83 21-99 5573 22-23 60 j ) 61 56-95 21-86 56-85 22-11 56-76 22-36 56-66 22-60 61 j ) &2 57-88 22- 22 57-78 22-47 57-69 22-72 5759 22-97 62 ) 63 58-8-2 2-2-58 58-72 22-83 58-62 23-09 58-52 23-35 63 ) ) 64 59-75 22-94 59-65 23-20 59-55 23-46 59-44 23-72 64 ) ) 65 60-68 23-29 60-58 23-56 60-48 23-82 60-37 24-09 65 ) 66 61-62 23-65 6151 23-92 61-41 24-19 61-30 ' 24-46 66 ) ) 67 62-55 iM-01 62-44 24-28 62-34 24-56 62-23 24-83 67 ) ) 68 63-48 24-37 63-38 24-65 63-27 24-92 63-10 25-20 68 69 ( 69 64-42 24-73 64-31 25-01 64 20 25-29 64-09 25-57 70 65-35 25-09 65-24 25-37 65-13 25-60 65-02 25-94 70 66-28 25-44 66-17 25-73 66-06 26-02 65-95 26-31 71 67-22 25-80 67-10 26-10 66-99 26-39 66-87 26-68 72 73 74 ( ! 73 68-15 26-16 68-04 26-46 87-92 26-75 67-80 27-05 74 69-08 28-52 68-97 26-82 68-85 27-12 68-73 27-42 75 70-02 26-88 69-90 27-18 69-78 27-49 69-66 27-79 75 ( ) '^^ 70-95 27-24 70-83 27-55 70-71 27-85 70-59 28-16 76 ) 77 71-89 27-59 71-76 27-91 71-64 28-22 71-52 28-53 77 78 ( 1 78 72-82 27-95 72-70 28-27 72-57 28-59 7245 23-90 ) 70 73-75 28-31 73-63 28-63 73-50 28-95 •73-38 29-27 79 ^ S 80 74-69 28-67 74-56 29-00 74-43 29-32 74-30 29-64 80 (. ) 81 75-62 29-03 75-49 29-36 75-35 29-69 75-23 30-02 81 ) 8-2 76-55 29-39 76-42 29-72 76-29 3005 70-16 30-39 82 83 77-49 29-74 77-33 30-08 77-22 30-42 77-09 30-76 83 84 78-42 30-10 78-29 30-44 78-16 30-79 78-02 31-13 84 ' 85 79-35 30-46 79-22 30-81 79-09 31-15 78-95 31-50 85 ' S 86 80-29 30-82 80-15 31-17 80-02 31-52 79-88 31-87 86 (' ) 87 81-22 31-18 81-08 31.53 80-95 31-89 80-81 32-24 87 ( ) 88 82-16 31-54 82-02 31-89 81-88 32-25 81-74 32-61 88 ( ) 89 83-09 31-89 82-95 32-26 82-81 32-62 82-66 32-98 89 ( J 90 84-02 32-25 83-88 32-62 83-74 32-99 83-59 33-35 90 / / 91 ( ( 91 84-96 32-61 84-81 32-98 84-67 33-35 84-.52 33-72 9-2 85-89 32-97 85-74 33-34 85-60 33-72 85-45 34-09 92 ( 93 86-82 33-33 86-68 33-71 86-53 34-08 86-.38 34-46 93 ( 94 87-76 33-69 87-61 34-07 87-46 34-45 87-31 34-83 94 i 95 88-69 34-04 88-54 34-43 88-39 34-82 88-24 35-20 95 { 96 ( 97 96 89-62 34-40 89-47 34-79 89-32 3.5-18 89.-17 35-.57 < 97 90-56 34-76 90-40 35-16 90-25 35-55 90-09 35-94 98 91-49 35-12 91-34 35-52 91-18 35-92 91-02 30-31 98 ) 99 92-42 35-48 92-27 35-88 92-11 36-28 91-95 36-69 99 / jlOO 93-36 35-84 93-20 36-24 93-04 36-05 92-88 37-06 100 ? ( / i » i5 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. ii 69 Deo. 68| Deg. 68i Dbo. 68i Deg. =^l 116 TRAVERSE TABLE. 22 Deg. 93 1-85 2-78 3-71 4-C4 5-56 6-49 7-42 8-34 927 10-20 1113 12U5 12-i}8 13-91 14-83 15-76 lti-G9 17-62 18-54 19-47 20-40 21-33 22-25 23-13 2411 25-03 25-96 26-89 27-82 28-74 29-67 30-60 31-52 32-45 33-38 34-31 35-23 36-18 37-09 38-01 38-94 39-87 40-80 4172 4-2-05 43-58 44-50 45-43 46-36 Dep. Dep. 0-37 0-75 1-12 1-50 1-87 2-25 2-02 3-00 3-37 3-75 412 4-50 4-87 5-24 5-62 5-99 6-37 6-74 7-12 • 7-49 7-87 8-24 8-62 8-99 9-37 9-74 10-1] 10-49 10-86 11-24 11-61 11-99 12-36 12-74 13-11 13-49 13-86 14-24 14-61 14-98 15-36 15-73 16-11 16-48 16-86 17-23 17-61 17-98 18-36 18-73 22:^ Deo. 68 Deg. 0-93 1-85 2-78 3-70 4-63 5-55 6-48 7-40 8-33 9-26 10-18 11-11 12-03 12-96 13-88 14-81 15-73 16-66 17-59 18-51 19-44 20-36 21-29 22-21 2314 24-06 24-99 25-92 26-84 27-77 28-69 2!)-62 30-54 3J-47 32-39 33-32 34-24 3517 36-10 37-02 37-95 38-87 39-80 40-72 41-65 42-57 4350 44-43 45-35 46-28 Dep. 0-38 0-76 1-14 1.51 1-89 2'27 2-65 3-03 3-41 3-79 4-17 4-54 4-92 5-30 5-68 6-06 6-44 6-82 7-19 7-57 7-95 8-33 8-71 9-09 9-47 9-84 10-22 10-61) 10-98 11-36 11-74 1212 12-5,) 12-87 13-2.) 13-63 14-01 14-39 14-77 15-15 15-52 15-90 16-23 16-66 17-04 17-42 17-80 18-18 18-55 18-93 22^ Deg. Dep. Lat. 675 Deg. 0-92 1-85 2-77 3-70 4-62 5-54 6-47 7-39 8-31 9-24 10-16 11-09 1201 12-93 13-86 14-78 1.5-71 16-63 17-55 18-48 19-40 20-:{3 21-25 22-17 23-10 2402 24-94 25-H7 26-79 28-64 29-56 30-49 31-41 32-34 33-26 34-18 35-11 36-03 36-96 .37-88 .38-80 39-73 40-65 41-.=)7 42-50 43-42 44-35 45-27 40-19 Dep. Dep. 0-38 0-77 1-15 1-53 1-91 2-30 2-68 3-06 3-44 3-83 4-21 4.59 4-97 5-36 5-74 6-12 6-51 6-89 7-27 7-65 8-04 8-42 8-89 9-18 9.57 9-95 10-33 10-72 11-10 11-48 11-86 12-25 1263 13-01 13-39 13-78 14-16 14-54 14-92 1.5-31 15-69 16-07 16-46 16-84 17-22 17-60 17-99 18-37 18-75 1913 22^ Deg. 0-92 1-84 2-77 3-69 4-61 5-53 6-46 7-38 8-30 9-22 10-14 1107 11-99 12-91 13-83 14-76 15-68 16 60 17-52 18-44 19-37 20-29 21-21 22- J 3 23-05 23-98 24-90 25-82 26-74 27-67 29-51 30-43 31-35 32-28 33-20 .3412 35-04 35-97 36-89 37-81 38-73 39- ()5 40-.58 4r.')0 42-42 43-34 44-27 4519 40-11 Dep. Dep. 0-39 0-77 1-16 1-55 1-93 2-32 2-71 3-09 3-48 3-87 4-25 4-64 5-03 5-41 5-80 6-19 6-57 6-96 7-35 7-73 8-12 8-51 8-89 9-28 9-67 10-05 10-44 10-83 11-21 11-60 11-99 12-37 12-76 13-15 13.53 13-92 14-31 14-70 15-08 15-47 15-86 16-24 16-63 17-02 17-40 17-79 18-18 18-56 18-95 19-34 67^ Deg. TRAVERSE TABLE. 117 c 1 ) ) 51 22 Deg. 22i Deg. 22J Deg. 22J Deg. £ ) - / Lat. 47-29 Dep, Lat. Dep. 19-31 Lat. Dep. Lat. Dep. 19-10 47-20 47-12 19-52 47-03 19-72 51 j ) 5-! 48-21 19-48 4813 19-69 48-04 19-90 47-95 20-11 52 ( ) 53 49-14 19-85 49-05 20-07 48-97 20-28 48-88 20-50 53 ( ) 54 50-07 20-23 49-98 20-45 49-89 20-66 49-80 20-88 54 ( I 55 51-00 20-60 50-90 20-83 50-81 21-05 50-72 21 27 55 ( ) 56 51-92 20-98 51-83 21-20 51-74 21-43 51-64 21-66 56 / ) 57 52-85 21-35 52-73 21-58 52-06 21-81 52-57 22-04 57 / 53 53-78 21-73 53-68 21-90 53-59 22-20 53-49 2-2-43 58 I 59 54-70 22-10 54-61 2234 54-51 22-58 54-41 22-82 59 / GO 55-63 22-48 55-53 22-72 55-43 22-96 55 33 23-20 60 j 61 56-56 22-85 56-47 23-10 56-36 23-34 56-25 23-59 61 } 62 57-49 23-23 57-33 23-48 57-28 23-73 57-18 23-98 62 ; 63 58-41 23-60 58-31 23-85 58-20 24-11 58-10 24-30 63 ) 64 59-34 23-97 59-23 24-23 59-13 24-49 59-02 24-75 64 ; 65 60-27 24-35 6016 24-61 60-05 24-87 59-94 25-14 65 ) 66 61-19 24-72 61-09 24-99 60-98 25-26 60-87 25-52 66 ) 67 6212 25-10 6-2-01 25-37 61-90 25-64 61-79 25-91 67 / 68 63-05 25-47 62-94 25-75 62-82 26-02 62-71 26-30 68 / 69 63-98 25-85 63-86 26-13 63-75 26-41 63-63 26-68 69 ; 70 64-90 26-22 64-79 26-51 64-67 26-79 64-55 27-07 70 ) 71 65-83 26-60 65-71 26-88 65-60 27-17 65-48 27-46 71 > 72 66-76 26-97 66-64 27-26 66-52 27-55 66-40 27-84 72 ) 73 67-68 27-35 67-56 27-64 67-44 27-94 67-32 28-23 73 ) 74 68-61 27-72 68-49 28-02 68-37 28-32 68-24 28-62 74 ) ) 75 69-54 28-10 69-42 28-40 69-29 28-70 69-17 29-00 75 ) ) 76 70-47 28-47 70-34 28-78 70-21 29-08 70-09 29-39 76 ) / 77 71-39 28-84 71-27 29-16 71-14 29-47 7101 29-78 77 ) ; 78 72-32 29-22 7219 29-53 72-06 29-85 71-93 30-16 78 ) / 79 73-25 29-59 7.3-12 29-91 72-99 30-23 72-85 30-55 79 / 80 74-17 29-97 74-04 30-29 73-91 30-61 73-78 30-94 80 I 81 75-10 30-34 74-97 30-67 74-83 31-00 74-70 31-32 81 ; 82 76-03 30-72 75-89 31-05 75-76 31-38 75-G2 31-71 82 / 83 76-96 31-09 76-82 31-43 76-68 31-76 76-.54 3210 83 / 84 77-88 31-47 77-75 31-81 77-6] 32-15 77-46 32 48 84 ) 85 78-81 31-84 78-67 32-19 78-53 32-53 78-39 3-2-87 85 ) / 86 79-74 32-22 79-60 .32-56 79-45 32-91 79-31 33-26 86 ) / 87 80-66 32-59 80-52 32-94 80-38 33-29 80-23 33-64 87 ) / 88 81-59 32-97 81-45 33-32 81-30 .33-08 81-15 34-03 88 / 89 82-52 33-34 82-37 33-70 82-23 34-06 82-08 34-42 89 j 90 83-45 33-71 83-30 34-08 83-15 34-44 83-00 34-80 90 91 ) 92 84-37 34-09 84-22 34-46 84-07 34-82 83-92 35-19 91 85-30 34-46 85-15 34-84 85-00 35-21 84-84 35-58 92 93 86-23 34-84 86-08 35-21 85-92 35-59 85-76 35-96 93 94 87-16 35-21 87-00 35-59 86-84 35-97 86-69 36-35 94 95 83-08 3559 87-93 .35-97 87-77 36-35 87-61 36-74 95 96 89-01 35-96 88-85 36-35 88-69 36-74 88-53 37-12 96 97 8i1-94 36-34 89-78 36-73 89-62 37-12 89-45 37-51 97 98 90-86 36-71 90-70 37-11 90-54 37.50 90-38 37-90 98 / 99 91-79 37-09 91-63 37-49 91-46 37-89 91-30 38-28 99 jioo 9-3-72 37-46 92-55 37-86 92-39 38-27 92-22 38-67 100 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. ' ( 1 68 1 3eq. m Dbg. 67i Deg. 67i Deg. 118 TRAVERSE TABLE, g p P 23 Deg. 23i Deg. 23i Deg. 23J Deg. i ) Lat. Dep. Lat. Dep. La.. Dep. Lat. Dep. ) 1 0-92 0-39 0-92 0-39 0-92 0-40 0-92 0-40 1 ) 2 1-84 0-78 1-84 0-79 1-83 080 1-83 0-81 2 < ) 3 2-76 1-17 2-76 1-18 2-75 1-20 2-75 1-21 3 , ) 4 3-68 1-56 3-68 1-58 3.67 1-.59 3-66 1-61 4 ( ) 5 4-60 1-95 4-59 1-97 4-59 1-99 4-58 201 5 ( ) 6 5-52 2-34 5-51 2-37 5-50 2-39 5-49 2-42 6 ( ; 7 6-44 2-74 6-43 2-76 6-42 2-79 6-41 2-82 7 , 8 7-36 313 7-35 3-16 7-34 3-19 7-32 3-22 8 s 9 8-28 3-52 8-27 3-55 8-25 3-59 8-24 3-62 9 < 10 9-20 3-91 9-19 3-95 9-17 3-99 915 4-03 10 11 10-13 4-30 10-11 4-34 10.09 4-39 10-07 4-43 11 i 12 1105 4-69 11-03 4-74 1100 4-78 10-98 4-83 12 ( I 13 11-97 5-08 11-94 5-13 11-92 5-18 11-90 5-24 13 ( 14 12-89 5-47 12-86 5-53 12.84 5-58 12-81 5-64 14 ( 15 13-81 5-B6 13-78 5-92 13-76 5-98 13-73 6-04 15 ( 16 14-73 6-25 14-70 6-32 1467 6-38 14-64 6-44 16 ( ) n 15-65 6-64 15-62 6-71 15-59 6-78 15-56 6-85 17 ( ]8 16-57 7-03 16.54 7-11 16-51 7-18 16-48 7-25 18 ( ]9 17-49 7-42 17-46 7-50 17-42 7-58 17-39 7-65 19 ( ) 20 18-41 7-81 18-38 7-89 18-34 7-97 18-31 8-05 20 ( [ 21 19-33 8-21 19-29 8-29 19-26 8-37 19-22 8-46 21 ( ) 22 20-25 8-60 20-21 8-68 20-18 8-77 20-14 8-86 ) 23 2117 899 21-13 9-08 21 09 9-17 21-05 9-26 23 ( 24 22-09 9-38 22-05 9-47 22-01 9-57 21-97 9-67 24 2.') 23-01 9-77 22-97 9-87 22-93 9-97 22-88 10-07 25 26 23-93 10-16 23-89 10-26 23-84 10-37 23-80 10-47 26 ) 27 24-85 10-55 24-81 10-66 24-76 10-77 24-71 10-87 27 ( ) 28 25-77 10-94 25-73 11-05 25-68 1116 25-63 11-28 28 ( ) 29 26-(;9 11-33 26-64 11-45 26-59 11.56 2 i 67 61-67 26-18 61-56 2u-45 61-44 26-72 61-33 •26-98 67 ) 68 62-59 26-57 62-48 26-84 62-36 27 11 62-24 27-39 68 69 63-51 26-96 63-4U 27-24 63-28 27-51 63-16 27-79 69 ) j 70 64-44 27-35 64-32 27-63 64-19 27-91 64-07 28-19 70 ) ( 71 65-36 27-74 65-23 28-03 6.5-11 28-31 64-99 28-59 71 > ( 72 66-28 26-13 65-15 28-42 66-03 28-71 65-90 29-00 72 ) ) 73 67-20 28-52 67-07 28-82 66-95 29-11 66-82 29-40 73 ) 74 68-12 28-91 67-99 29-21 67-86 29-51 67-73 29-80 74 75 69-04 29-30 68-91 2J-61 68-78 29-91 68-65 30-21 75 ) 76 69-96 29-70 69-83 3^-00 69-70 3J-30 69-56 30-61 76 ) 77 70-88 30-09 70-75 30-40 70-01 30-70 70-48 31-01 77 78 71-80 30-48 71.67 3U-79 71-53 31-10 71-39 31-41 78 7J 72-72 30-87 72-58 31-18 72-45 31-50 72-31 31-82 79 80 7^ 31-26 73-50 31-58 73-36 31-90 13-22 32-22 80 } 81 74-56 31-65 74.42 31-97 74.28 32-30 74-14 32-62 81 ) 82 75-48 3204 75-34 3-2-37 75-20 32-70 75-06 33-03 82 ) ) 83 76-40 32-43 7()-26 32-76 76-12 33-10 75-97 33-43 83 ) ) 84 77-32 32-82 77-18 33- J 6 77-03 33-49 76-89 33-83 84 S ( 5-5 78-24 33-21 78.10 33-55 77-95 33-89 77-80 34-23 85 ) ) 80 79-16 33-60 79-02 33-95 78-87 34-29 78-72 34-64 86 ) 87 80-08 33-99 79-93 34-34 79-78 34-69 79-63 35-04 87 ) 88 81-00 34-38 80-85 34-74 80-70 35-09 80-55 35-44 88 ) 89 81-92 34-78 81-77 35-13 81-62 35-49 81-46 35-84 89 ) 90 i j 90 82-85 35-17 82-69 35-53 82 54 35-89 82-38 36-25 J 91 83-77 35-56 83-61 35-92 83.45 36-29 83-29 36-65 91 92 84-69 35-95 84-53 36-32 84-37 36-68 84-21 37-05 92 93 85-61 36-34 85-45 36-71 85-29 37-03 85-12 37-46 93 94 3i-T3 86-37 37-11 86-20 37-48 86-04 37-86 94 95 87-45 37-12 87 29 37.50 87-12 37-88 86-95 38-26 95 ) 96 88-37 37-51 88-20 37-90 88-04 38-28 87-87 38-66 96 ) «7 89-29 37-90 89-12 38-29 88-95 38-68 88-79 39-07 97 98 90-21 38-29 90-04 38-68 89-87 39-08 89-70 .- 39-47 98 \ 99 91-13 38-68 90-96 39-08 90-79 39-48 90-62 39-87 99 S jioo 92-05 39-07 91-88 39-47 91-71 39-87 91-53 40-27 100 \ 1 ( - ( Dep. Lilt. Dep. Lat. Dep. Lat. Dep. Lat. 67 Deg. 665 Deg. 66V Deg. 66i Deg. 120 TRAVERSE TABLE. TRAVERSE TABLE, 121 I 24 Deg. 24i Deg. 24i Deg. 24J Deg. 1 ( Lat. Dep. Lat. Dep. Lat. Dep. 21-15 Lat. Dep. i '< 51 46-59 20-74 46.50 29-95 46-41 46-32 21-35 51 ( 52 47-50 21-15 47-41 21-36 47-32 21-56 47-22 21-77 .52 ( 53 48-42 21-56 48-32 21-77 43-23 21-98 48-13 22-19 53 ( 54 49-33 21-9;; 49-24 22-18 49-14 2-2-39 49-04 22-61 54 55 / 55 50-24 2-2-37 50-15 22-59 50-05 22-81 49-95 23-03 56 51-16 22-78 51-06 23-00 50-96 23-22 50-86 23-44 56 ( 57 52-07 23-18 51-97 23-41 51-87 23-64 51-76 23-86 57 ( 58 52-99 23-59 52-88 23-82 52-78 2i-J5 52-67 24-28 58 ( 59 53-90 24-00 53-79 24-23 53-69 24-47 53-58 24-70 59 (' 60 54-81 24-40 54-71 24-64 54-60 24-83 54-49 25-12 60 '( 61 55-73 24-81 55-62 25-05 55-51 25-30 55-40 25-.54 61 \ 62 62 56-64 25-22 56-53 25-46 56-42 25-71 56-30 25-96 63 57-55 25-62 57-44 25-88 57-33 26-13 57-21 26-38 63 ( 64 58-47 26-03 58-35 26-29 58-24 26-54 .58-12 26-79 64 ( 65 / 65 59-38 23-44 59-26 26-70 59-15 26-96 5903 27-21 66 60-29 26-84 60-18 27-11 60-06 27-37 59-94 27-63 66 > 67 61 -21 27-25 61-09 27-52 60-97 27-78 60-85 23-05 67 ( 68 62-12 27-06 6200 27-93 61-88 28-20 61-75 23-47 69 63-03 28-06 6291 28-34 62-79 28-^61 62-66 28-89 69 I 70 63-95 28-47 ^3-82 28-75 63-70 29-03 63-57 2931 70 ( ( 71 ( ' 71 64-86 28-88 64-74 2916 64-61 29-44 64-48 29-72 72 65-78 29-28 6565 29-57 65-.52 29-86 65-39 30-14 ll ( 73 66-69 29-69 66-56 29-98 66-43 30-27 66-29 30-56 13 ) 74 67-60 30-10 67-47 30-39 67-34 30-69 67-20 30-98 74 I 75 68-52 30-51 68-38 30-80 68-25 31-10 68-11 31-40 ll 76 69-43 30-91 69-29 31-21 69-16 31 -.52 69-02 31-82 ^^ ( 77 70-34 31-32 70-21 31-63 70-07 31-93 69-93 32-24 77 ) 11 71-26 31-73 71-12 32-04 70-93 32-35 70-84 32-66 78 72-17 32-13 72-03 32 45 71-89 32-76 71-74 33-07 Z^ 'r 81 73-08 32-54 72-94 32-86 72-80 33-18 72-65 33-49 80 I 74-00 32-95 73-85 33-27 73-71 33-59 73-56 33-91 ?J 82 74-91 33-35 74-76 33-68 74-62 34-00 74-47 34-33 82 / 83 75-82 33-76 75-68 34-09 75-53 34-42 75-38 .34-75 83 ) ( 84 76-74 34-17 76-59 34-50 76-44 34-83 76-28 3.5-17 84 { 85 77-65 34-57 77-.50 34-91 77-35 35-25 77-19 35-59 85 ( 86 78-56 34-98 78-41 35-32 78-26 35-66 78-10 36-00 86 87 79-48 35-39 79-32 35-73 79-17 3608 79-01 36-42 87 ( 88 80-39 35-79 80-24 36-14 80-08 35-49 79-92 36-84 88 ) i 89 81-31 36-20 81-15 36-55 80-99 36-91 80-82 37-26 89 ) ( 90 82-22 36-61 8206 36-96 81-90 37-32 81-73 37-€8 90 { 83-13 3701 82-97 37-38 82-81 37-74 82-64 38-10 91 84-05 37-42 83-88 37-79 83-72 38-15 83-.55 38-52 92 / 84 96 37-83 84 79 38-20 84-63 38-.57 84-46 38-94 93 94 ) 95 85-87 38-23 8.V71 38-61 85-.54 38-93 85-37 39-35 94 ( 8G-79 38-64 86-62 3902 86-45 39-40 86-27 39-77 95 ' / 96 87-70 3905 87-53 39-43 87-36 39-81 87-18 40-19 96 ^ 97 97 88 61 39-45 88-44 39-84 88-27 40-23 8809 40-61 98 89-53 39-86 89-35 40-25 89-18 40-64 89-00 41-03 98 ( 99 90-44 40-27 90-26 40-66 9009 41-05 89-91 41-45 99 100 ( MOO 91-35 40-67 91-18 4107 91-00 41-47 90-81 41-87 i Dep. 1 Lat. Dep. Dep. 1 .... Dep. Lat. ( 66 Deq. 65i Deg. 651 Deg. 65i Deg. 132 TRAVERSE TABLE. ' g ' 1 25 Deg. 25i Deg. 25i Deg. 25a Deg. --I 1 ; Lat. Dep. Lat. Dep. Lat. Dep. Lat. 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Lat. Dep. Lat. Dep. Lat. Dep. Lat. 5 1 65 Deg. 641 Deg. 6!^ Deg. 64]] Deg. TRAVERSE TA 123 25 Deg. 25>. Deg. 25V Deg. 251- Deg. 1 Lat. Dep. Lat. Dep. Lat. D>>p. Lat. Dep. I 51 46-22 21-55 46-13 21-75 46-03 21-96 45-94 22-16 51 / 52 47-13 21-98 47-03 22-18 46-93 22-39 46-84 22-59 52 / 53 48-03 2-2-4;) 47-94 22-61 47-84 22-82 47-74 23 03 53 I / 54 4S-94 22-82 48-84 23-03 48-74 23-25 48-64 23-46 54 I ; 55 49-85 23 24 49-74 23-46 49-64 23-68 49.54 23-89 55 ) 56 50-75 23-67 50-65 23-89 50-54 2411 50-44 24-33 56 57 51-66 24-09 51-55 24-31 51-45 24-54 51-34 24-76 57 ) 58 52-57 24-51 52-46 24-74 52-35 24-97 .5224 25-20 53 ) 59 53-47 24-93 .53-36 25-17 53-25 25-40 53-14 25-63 59 |60 54-38 25-36 54-27 25-59 54-16 25-83 54-04 26-07 60 61 ) 62 55-23 25-73 55-17 26-02 55-06 26-26 54-94 26-50 61 56-19 26-20 50-08 26-45 5.5-96 20-69 55-84 26-94 62 ( 63 57-10 26-62 56-98 26-87 56-86 27-12 56-74 27-37 63 < 64 53-00 27-05 57-89 27-30 57-77 27-55 57-64 27-80 64 ( 65 58-91 27-47 .58-79 27-73 53-67 27-98 58-55 28-24 65 ( 6G 59-82 27-89 .59-69 28-15 59-57 28-4] 59-45 28-67 66 67 60--/2 28-32 60-60 23 58 60-47 28-84 60-35 29-11 67 68 61-63 24-74 61-50 29-01 61-38 29-27 61-25 29-54 68 ( 69 62-54 29-16 62-41 29-43 62-28 29-71 62-15 29-98 69 ( 7U 63-44 29-58 63-31 29-86 63-18 30-14 63-05 30-41 70 ( 71 64-35 30-01 64-22 30-29 6408 30-57 63-95 30-85 71 ) 72 65-25 30-43 65-12 30-71 64-99 31-00 64-85 31-28 72 73 66-16 30-35 66-03 31-14 65-89 31-43 6.5-75 31-71 73 74 67-07 31-27 66-93 31-57 63-79 31-86 66-65 32 15 74 75 67-97 31-70 67-83 31-99 67-69 32-29 67-55 32-53 75 76 68-88 3212 63-74 32-42 63-60 32-72 63-45 3302 76 77 69-79 32-54 69-64 32-85 69-50 33-15 69-35 33-45 77 78 70-69 3-2-96 70-55 33-27 70-40 .33-58 70,25 33-89 78 79 71-60 33-39 71-45 3370 71-30 34-01 71-16 34-32 79 80 72-50 33-81 72-36 3413 72-21 34-44 72-06 34-76 80 ( 81 73-41 34-23 73-26 34-55 73-11 34-87 72-96 35-19 81 82 74-32 34-65 74 17 34-98 74-01 35-30 73-86 35-62 82 83 75-22 35-08 75-07 35-41 74-91 35-73 74-76 36-06 83 84 76-13 35-50 75-97 35-83 75-82 36-16 75-66 36-49 84 ) 85 77-04 35-92 76-88 36-26 76-72 36-59 76-56 36-93 85 ) 86 77-94 36-35 77-78 36-68 77-62 3702 77-46 37-36 86 ( 87 78-85 36-77 78 69 37-11 78-52 37-45 78-36 37-80 87 88 79-76 37-19 79-59 37-54 79-43 37-83 79-26 38-23 88 89 j 9U 80-66 37-61 80-50 37-96 80-33 38-32 80-16 38-67 89 I 81-57 38-04 81-40 38-39 81-23 38-75 81-06 39-10 90 ( ) 91 82-47 38-46 82-31 38-82 82-14 39-18 81-96 39-53 91 i ) 92 83-38 38-88 83-21 39-24 83-04 39-61 82-86 39-97 92 I ) 93 84-29 39-30 8411 39-67 83-94 40-04 83-76 40-40 93 / ) 94 8519 39-73 85-02 40-10 84-84 40-47 84-67 40-84 94 ( ) 95 86-10 40-15 85-92 40-52 85-75 40-90 85-57 41-27 95 / ) 96 87-01 40-57 86-83 40-95 86-65 41-.33 86-47 41-71 96 ) 97 87-91 40-99 87-73 41-38 87-55 41-76 87-37 42-14 97 I ) 98 88-82 41-42 88-64 41-80 87-45 42-19 88-27 42-58 98 < 99 ) 99 89-72 41-84 89-.54 42-23 89-36 42-62 89-17 43-01 )100 / .2 90-63 42-26 90-45 42-66 90-26 43-05 90-07 43-44 100 f Dep. La;. Dep. Lat. Dep. Lat. Dep. Lat. 1 Q ( 65 ] Deg. 64i Deg. 64i Deg. 64i Deg. 124 TRAVERSE TABLE. ; o 26 Deg. 264: Deg. 26.i Deg. 26^- Deg. 2 \ Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. M 0-90 0-44 90 0-44 0-89 0-45 0-89 0-45 ^1 1-80 0-88 1-79 0-88 1-79 0-89 1-79 0-90 I 3 2-70 1-32 2-69 1-33 2-08 ]-34 2-68 1-35 ( 4 3-60 1-75 3-59 1-77 3-58 1-78 3-57 ■1-80 { 5 4-49 2-19 4-48 221 ■ 4-47 • 2-23 4-46 2-25 5 ) 6 5-39 2-63 5-38 2-65 5-37 2-68 5-36 2-70 6 / 7 6-29 3-07 6-23 3-10 6-26 312 6-25 3-15 7 ( ( 8 7-19 3-51 7-17 3-54 7-16 3-57 7-14 3-60 8 ( ^-^ 8-09 3-95 8-07 3-98 8-05 4-02 8-04 4-05 9 |, 10 8-99 4-38 8-97 4-42 8-95 4-46 8-93 4-50 10 ( ( 11 9-89 4-82 9-87 4-87 9-84 4-91 9-82 4-95 11 / 12 10-79 5-26 10-76 5-31 10-74 5-35 10-72 5-40 12 ( 13 11-68 5-70 11-66 5-75 11-63 5-80 11-61 5-85 13 ( ( 14 12-58 614 12-56 6-19 12-53 6-25 12-50 6-30 14 ( ( 15 13-48 6-.58 13-45 6-63 13-42 6-69 13-39 0-75 15 ( ( 16 14-38 7-01 14-35 7-08 14-32 7-14 14-29 7-20 16 / ( 17 15-28 7-45 15-25 7-52 15-21 7-59 15-18 7-65 17 ( w 16-18 7-89 16-14 7-96 1611 8-03 16-07 8-10 18 ) 19 17-08 8-33 17-04 8-40 17-00 8-48 16-97 8-55 19 ) 2U 17-93 8-77 17-94 8-85 17-90 8-92 17-86 9-00 20 / 21 18-87 9-21 18-83 9-29 18-79 9-37 18-75 9-45 21 >22 19-77 y-64 19-73 9-73 19-69 9-82 19-65 9-90 22 /23 20-67 10-08 20-63 10-17 20-58 10-26 20-54 10-35 23 ) 24 25 2tj 21-57 10-52 21-52 10-61 21-48 10-71 21-43 10-80 24 ) 22-47 10-96 22-42 11-06 22-37 11-15 00.30 11-25 25 23-37 11-40 23-32 11 -.50 23-27 11-60 23-22 11-70 26 27 J 30 24-27 11-84 24-22 11-94 24-16 12-05 24-11 12-15 27 25-17 12-27 25-11 12-38 25-06 12-49 25-00 12-60 28 ) 26-06 12-71 26-01 12-83 2.'-/95 12-94 25-90 13-05 29 ) 26-96 13-15 26-91 13-27 26-85 13-39 26-79 13-50 30 j (31 32 27-86 13-59 27-80 13-71 27-74 13-83 27-68 13-95 31 ' 28-76 14-03 28-70 1415 28-64 14-28 28-58 14-40 32 33 34 35 36 29-66 14-47 29-00 14-60 29-53 14-72 29-47 14-85 33 30-56 14-90 30-49 15-04 30-43 15-17 30-36 15-.30 34 35 31-46 1.5-34 31-39 15-48 31-32 15-62 31-25 15-75 32-36 15-78 32-29 15-92 32-22 16-06 32-15 16-20 36 37 33-26 10-22 33-18 16-36 33-11 16-51 33-04 16-65 37 38 34-15 16-66 34-08 16-81 34-01 16-96 33-93 17-10 38 31) f 40 35-05 17-10 34-98 17-25 34-90 17-40 34-83 17-55 39 40 ( 35-95 17-53 35-87 17-69 35-80 17-85 35-72 18-00 1'' 42 43 36-85 17-97 36-77 18-13 36-69 18-29 36-61 18-45 S| 37-75 18-41 37-67 18-58 37-59 18-74 37-51 18-90 38-65 18-85 38-57 19-02 38-48 19-19 38-40 19-35 43 ^ 44 39-55 19-29 39-46 19-46 39-38 19-63 39-29 19-80 { 45 40-45 19-73 40-36 19-90 40-27 20-08 40-18 20-25 S 46 41-34 20-17 41-26 20-35 41-17 20-53 41-08 20-70 S 47 42-24 20-60 42-15 20-79 42-06 20-97 41-97 21-15 / 48 43-14 21-04 4305 21-23 42-96 21-42 42-86 21-60 48 ' 49 40 44-04 21-43 43 95 21-67 43-85 21-86 43-76 2205 J 50 44-94 21-92 44-84 22-11 44-75 22-31 44-65 22-50 50 i s Q i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 64 Deg. 63i Deg. 63i Deg. 63i Deg. TRAVERSE TABLE. 125 f 51 26 Deg. 26.^ Deg. 26A Deg. 26^ Deg. Lat. 45-84 Dep. Lat. 45-74 Dep. 22-56 Lat. Dep. Lat. Dep. P| 2-3-:j6 4.r64 22-76 45-54 22-96 51 ) ^ 52 46-74 22-80 46-64 23-00 46.54 23-20 46-43 23-41 52 / ) 53 47-64 2:?-23 47-53 23-44 47-43 23-65 47-33 23-88 .53 I } 54 48-53 23-67 48-43 23-88 48-33 24-09 48-22 24-31 54 ) ) 55 49-43 24-11 49-33 24-33 49-22 24-54 49-11 24-76 55 / ) 56 50-33 24-55 50-22 24-77 50-12 24-99 .50-01 25-21 56 / ^ 57 51-23 24-93 51-12 25-21 51-01 25-43 50-00 2.5-66 57 ) ^ 58 52-13 25-43 52-02 25-65 51-91 25-88 51-79 26-11 58 / ) 59 53-03 25-86 52-92 26-09 52-80 26-33 52-69 26-56 59 / 60 53-93 20-30 53-81 2G-54 53-70 26-77 53-58 27-01 60 ? I 61 54-83 26-74 54-71 26-98 54-59 27-22 54-47 27-46 61 S 62 55-73 27-18 55-61 27-42 5.5-49 27-66 .55-36 27-91 62 / 63 56-62 27-62 56-50 27-86 56-38 28-11 56-26 28-36 63 ? ' 64 57-52 28-06 57-40 28-31 57-28 28-56 .57-15 23-81 64 ( 65 58-42 28-49 58-30 28-75 58-17 29-00 53-04 29-26 65 66 59-32 28-93 59-19 29-19 .59-07 29-45 58-94 29-71 66 ( ) 67 60-22 29-37 60-09 29-63 .59-96 29-90 59-83 30-16 67 68 61-12 29-81 60-99 30-08 60-86 30-34 60-72 30-61 68 69 62-02 30-25 61-83 30-52 61-75 30-79 61-62 31-06 69 70 62-92 30-69 62-78 30-96 62-65 31-23 62-51 31-51 70 ) 71 63-81 31-12 63-63 31-40 63-54 31-68 63-40 31-96 71 72 64-71 31-56 04-57 31-84 64-44 3213 64-29 3-2-41 72 ) 73 65-61 32-00 6547 32-29 65-33 32.57 6.5-19 32-88 73 ) 74 C6-51 32-44 66-37 32-73 66-23 33-02 66-08 33-31 74 75 67-41 32-88 67-27 33-17 67-12 33-46 66-97 33-76 75 ) 76 68-31 33-.32 68-16 33-61 68-01 .33-91 67-87 34-21 76 ) 77 69-21 33-75 69-08 34-06 08-91 34-36 68-76 34-66 77 ) 78 70-11 34-19 69-96 34-50 69-80 34-80 69-65 .35-11 78 79 71-00 34-63 70-85 34-94 70-70 35-25 70-^5 35-56 79 80 71-90 ' * 35-07 71-75 35-38 71-59 35-70 71-44 36-01 80 Ul 72-80 35-51 72-65 35-83 72-49 36-14 72-33 36-46 81 ) 82 73-70 35-95 73-54 36-27 73-38 36-59 73-22 36-91 82 \ 83 74-60 36-38 74-44 36-71 74-28 37-03 74-12 37-36 83 84 75-50 36-82 75-34 37-15 75-17 37-48 7.5-01 37-81 84 85 76-40 37-26 76-23 37-59 76-07 37-93 75-90 38-28 85 86 77-30 37-70 77-13 38-04 76-96 38-37 76-80 38-71 80 87 78-20 38-14 78-03 38-48 77-86 38-82 77-69 39-16 87 88 79-09 38-58 78-92 .38-92 78-75 39-27 78-58 39-61 88 \ 89 79-99 39-01 79-82 39-36 79-65 39-71 79-48 40-06 89 ( ) 90 80-89 39-45 80-72 39-81 80-54 40-16 80-37 40-51 90 J 91 81-79 39-89 81-62 4025 81-44 40-60 81-26 40-98 91 ( 92 82-69 40-33 82-51 40-69 82-33 41-05 82-15 41-41 92 ( 93 83-59 40-77 83-41 41-13 83-23 41-50 83-05 41-88 93 < 94 84-49 41-21 84-31 41-58 8412 41-94 83-94 42-31 94 ( 95 85-39 41-65 85-20 42-02 85-02 42-39 84-83 42-76 95 ( 96 86-28 42-08 86-10 42-46 85-91 42-83 85 73 43-21 96 { 97 87-18 42-.>2 87-00 42-90 86-81 43-28 86-62 43-66 97 ( ^ 98 88-08 4296 87-89 43-34 87-70 43-73 87-51 44-11 98 ( 99 88.98 43-40 88-79 43-79 88-60 44-17 88-40 44-56 99 100 89.88 43-84 89-69 44-23 89-49 44-62 89-30 4501 100 \ 1 a Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i I 1 64 1 )EG. Q3% Deg. 63k I Deg. 63i Deg. 11 '1P"~^ 126 TRAVERSE TABLE. |T 27 Deo. 27i Deg. 27A Deg. 27J Deg, ll Lai. Dep. Lat. Dep. Lat. Dep. Lat, Dep, p 1 0-89 0-45 0-89 0-48 0-89 0-46 0-88 0-47 1 1-78 0-91 1-78 0-92 1-77 0-92 1-77 0-93 2 \ 3 2-67 1-30 2-67 1-37 2-66 1-39 2-65 1-40 3 ) ) "^ 3-56 1-82 3-56 1-83 3-55 1-85 3-54 1-86 4 } ( 5 4-45 2-27 4-45 2-29 4-44 2-31 4-42 2-33 5 ) ( 6 5-35 2-72 5-33 2-75 5-32 2-77 531 2-79 6 ) ( 7 6-24 3-18 6-22 3-21 6-21 3-23 6-19 3-26 ) S 8 7-13 3-63 7-11 3-66 7-10 3-69 7-08 3-72 8 1 ( 9 8-02 4-09 8-00 4-12 7-98 4-16 7-96 4-19 9 / ^^ 8-91 4-54 8-89 4-58 8-87 4-62 8-85 4-66 10 j \ 11 9-80 4-99 9-78 5-04 9-76 5-08 9-73 5-12 11 ( ( 12 10-69 5-45 10-67 5-49 10-64 5-,54 10-62 5-59 12 ( { 13 11-58 5-90 11-56 5-95 11-53 6-00 11-50 605 13 ( ( U 12-47 6-36 12-45 6-41 1-3-42 6-46 12-39 6-52 14 { I 15 13-37 6-81 13-34 6-87 13-31 0-93 13-27 6-98 15 ( 16 14-26 7-26 14-22 7-33 14-19 7-39 1416 7-45 16 ( 17 15-15 7-72 15-11 7-78 1.5-08 7-85 15-04 7-92 17 \ 18 16:04 8-17 16-00 8-24 15-97 8-31 15-93 8-38 18 ID 16-93 8-63 16-89 8-70 16-85 8-77 16-81 8-85 19 20 17-82 9-08 17-78 9-16 17-74 9-23 17-70 9-31 20 i 21 18-71 9.53 18-67 9-62 18-63 9-70 18-58 9-78 21 ' 22 19-60 9-99 19-.56 10-07 19-51 10-16 19-47 10-24 22 23 20-49 10-44 20-45 10-53 20-40 10-62 20-35 10-71 23 24 21 -S8 10-90 21-34 10-99 21-29 11-08 21-24 11-17 24 25 22-28 11-35 22-23 11-45 22-18 11-54 22-12 11-64 25 26 23-17 11-80 2.3-11 11-90 2300 12-01 23-01 12-11 26 27 24-06 12-26 24-00 12-36 23-95 12-47 23-89 12-.57 27 28 24-95 12-71 24-89 12-82 24-84 12-93 24-78 13-04 28 29 25-84 13-17 25-78 13-28 25-72 13-39 25-66 13-.50 29 30 26-73 13-62 26-67 13-74 26-61 13-85 26-55 ^3-97 30 31 27-62 14-07 27-56 14-19 27-50 14-31 27-43 14-43 31 ' 32 , 39 28-51 14-53 28-45 14-65 28-38 14-78 28-32 14-90 33 29-40 14-98 29-34 1.5-11 29-27 15-24 29-20 15-37 33 / 34 30-29 15-44 30-23 15-.57 30-16 15-70 30-09 15-83 34 35 31-19 15-89 31-12 16-03 31-05 16-16 30-97 16-30 35 36 32-08 16-34 3200 10-48 31-93 16-62 31-86 16-76 36 37 32-97 16-80 32-89 16-94 32r82 17-08 32-74 17-23 37 38 33-86 17-25 33-78 17-40 33-71 17-55 33-63 17-69 38 ) 39 34-75 17-71 34-67 17-86 34-59 18-01 34-51 1816 39 40 35-64 18-16 35-56 18-31 35-48 18-47 35 40 18-62 40 41 36-53 18-61 36-45 18-77 36-37 18-93 36-28 19-09 41 ) 42 37-42 19-07 37-34 19-23 37-25 1939 37-17 19-56 42 13 38-31 19-.52 38-23 19-69 38-14 19-86 38-05 2002 43 44 3920 19-98 39-12 20-15 39-03 2-;}-.32 38-94 20-49 44 45 40-10 2;)-43 40-01 20-60 39-92 20-78 39-82 20-95 45 ) 46 40-99 20-88 40-89 21-06 40-80 21-24 40-71 21-42 46 ) 47 41-88 21-34 41-78 21-52 41-69 21-70 41-59 21-88 47 ) 48 42-77 21-79 42-67 21-98 42-.58 22-16 42-48 22-35 48 ) 49 43-06 22-25 43-58 22-44 43:46 22-63 43-36 22-82 49 ) 50 44-55 22-70 44-45 22-89 44-35 23-09 44-25 23-28 50 ) 1 Dep. Lilt. Dep. Lat, Dep, Lat, EG. Dep. Lat. 1 5 ( 5 63 D EG. 62JD .». j 62} E 62:i r )eg. TRAVERSE TABLE, 127 \l 27 Deg. 27i Deg. 27i Deq. 271 Jeg. 51 ■ 1 Lat. 23-15 Lat. Dep. Lai. Dep. 7375 Lu. Dep. 23-75 51, 45-44 45-34 23-35 45-24 45-13 52 46-33 23-61 4u-23 23-81 46-12 24-01 4t)-02 24-21 52 53 47-22 24-06 47-12 24-27 4701 24-47 46-90 24-68 53 54 48-11 24-52 48-01 24-73 47-90 24-93 47-79 2514 54 55 56 49-01 ^-97 48-90 25-18 48-79 25-40 48-67 25-61 55 43-90 25-42 49-78 25-64 49-67 25-86 49-50 26-07 56 ) 57 50-79 25-88 50-67 2G-10 50-56 26-32 50-44 26-54 57 i ) 58 51-68 26-33 51-56 26-56 51-45 26-78 51-33 27-01 58 ) 59 52-57 26-79 52-45 27-01 52-33 27-24 52-21 27-47 59 ) 60 53-46 27-24 53-34 27-47 53-22 27-70 53-10 27-94 60 ( 61 51-35 27-69 54-23 27-93 5411 28-17 53-98 28-40 61 { ) ()2 55-24 28-15 55-12 28-.39 54-99 28-63 54-87 28-87 62 ( ) 63 56-13 28-60 56-01 28-85 55-88 29-09 55-75 29-33 63 ) 64 57-02 2906 .56-90 29-.30 .56-77 29-55 56-64 29-80 64 65 66 67 I / 65 57-92 29-51 57-79 29-76 57-66 30-01 57-52 30-26 66 58-81 29-96 .58-68 30-22 58-54 30-48 58-41 30-73 67 59-70 30-42 59-5& 30-63 59-43 30-94 59-29 31-20 ) 68 60-59 30-87 60-45 31-14 60-32 31-40 60-18 31-66 68 ( 69 61-48 31-33 61-34 31-59 61-20 31-86 61-08 32-13 69 70 62-37 31-78 62-23 3205 62-09 32-32 61-95 32-59 70 ! 71 63-26 32-23 63-12 32-51 62-98 32-78 62-83 33-06 71 ) 72 64-15 32-69 64-01 32-97 63-88 33-25 63-72 33-52 72 73 65-04 33-14 64-90 33-42 64-75 33-71 64-60 33-99 73 74 65-93 33-60 65-79 33-88 65-64 34-17 65-49 34-46 74 I 75 66-83 34-05 66-68 34-34 66-53 34-63 66-37 34-92 75 ( 76 ) 76 67-72 34-50 67-57 34-80 67-41 35-09 67-26 35-39 68-61 34-96 68-45 35-26 68-30 35-55 68-14 35-85 77 ( 78 69-50 35-41 69-34 35-71 69-19 36-02 69-03 36-32 78 79 S:i> 35-87 70-23 36-17 70-07 36-48 69-91 36-78 79 ) j 80 36-32 71-12 36-63 70-96 36-94 70-80 37-25 80 81 72-17 36-77 72-01 37-09 71-85 37-40 71-68 37-71 81 ■82 73-06 37-23 72-90 37-55 72-73 37-86 72-57 38-18 82 ) 83 73-95 37-68 73-79 38-00 73-62 38-33 73-45 38-65 83 84 74-84 38-14 74-68 38-46 74-51 38-79 74-34 39-11 84 ) 85 75-74 38-59 75-57 38-92 75-40 39-25 75-22 39-58 85 > 86 76-63 39-04 76-46 39-38 76-28 39-71 76-11 40-04 . 86 ) \ 87 77-52 39-50 77-34 39-83 77-17 40-17 76-99 40-51 87 ) \ 88 78-41 39-95 78-23 40-29 78-08 40-63 77-88 40-97 88 ) 89 79-30 40-41 79-12 40-75 78-94 41-10 78-76 41-44 89 90 80-19 40-86 80-01 41-21 79-83 41-56 79-65 41-91 90 ) 91 81-08 41-31 80-90 41-67 80-72 42-02 80-53 42-37 91 f \ 92 81-97 41-77 81-79 42-12 81-60 42-48 81-42 42-84 92 ) ) 93 82-86 42-22 82-68 42-58 82-49 42-94 8-2-30 43-30 93 ) ) 94 83-75 42-68 83-57 43-04 83-38 43-40 83-19 43-77 94 ) ( 95 84-65 4313 84-46 43-50 84-27 43-87 84-07 44-23 95 ) { 96 85-54 43-58 85-35 43-96 85-15 44-33 84-96 85-84 44-70 95 ) ) 97 86-43 44-04 86-23 44-41 86-04 44-79 4516 97 ) 98 87-32 44-49 87-12 44-87 86-93 45-25 86 73 45-63 93 ) ( 99 88-21 44-95 88-01 45-33 87-81 45-71 87-61 46-10 99 100 89-10 45-40 88-90 45-79 88-70 46-17 Lat. 88-50 Dep. 46-56 Lat. 100 ) i i 1 a Dep. Lat. Dep. Lat. Dep. 63 1 Deg. G2i Deg. 62^ Deg. 62-i Deg. 128 TRAVERSE TABLE. 28 Deg. 0-88 1-77 2-65 3-53 4-41 5-30 6-18 7-06 7-95 8-83 9-71 10-GO 11-48 12-36 13-24 14-13 15-01 15-89 10-78 17-6G 18-54 19-42 20-31 21-19 22-07 22-96 23-84 24-72 25-61 26-49 27-37 28-25 29-14 30-02 30-90 31-79 32-67 33-55 34-43 35-32 36-20 37-08 37-97 38-85 39-73 40-02 41-50 42-38 43-26 44-15 Dep. Dep. 0-47 0-94 1-41 1-88 2-35 2-82 3-29 3-76 4-23 4-69 5-16 5-63 6-10 6-57 7-04 7-51 7-98 8-45 8-92 9-39 9-86 10-33 10-80 11-27 11-74 12-21 12-68 13-15 13-61 14-08 14-55 15-02 15-49 15-96 l<'>-43 16-90 17-37 17-84 18-31 18-78 19-25 19-72 20-19 20-66 21-13 21-60 22-07 22-53 2300 23-47 62 Ceo. 28^ Deg. 0-88 1-76 2-64 3-52 4-40 5-29 6-17 7-05 7-93 8-81 10-57 11-45 12-33 13-21 14-09 14-98 15-86 16-74 17-62 18-50 19-38 20-26 21-14 22-02 22-90 23-78 24-66 25-55 26-43 27-31 28-19 29-07 29-95 30-83 31-71 32-59 33-47 34-35 35-24 36-12 37-00 37-88 38-76 39-64 40-52 41-40 42-28 43-16 44-04 Dep. 0-47 0-95 1-42 1.89 2-37 2-84 3-31 3-79 4-26 4-73 5-21 5-68 6-15 6-63 7-10 7-57 8-05 8-52 8-99 9-47 9-94 10-41 10-89 11-30 11-83 12-31 12-78 13-25 13-73 14-20 14-67 1.5-15 15-62 1609 16-57 17-04 17-51 17-99 18-46 18-93 19-41 19-88 20-35 20-83 21-30 21-77 23-19 23-67 Dep. Lat. 615 Deg. 0- 1-76 2-64 3-52 4-39 5-27 6-15 7-03 7-91 8-79 9-67 10-55 11-42 12-30 13-18 14-06 14-94 15-82 16-70 17-58 18-46 19.33 20-21 21-09 21-97 22-85 23-73 24-61 25-49 26-36 27-24 28-12 29-00 29-88 30-76 31-64 .32.52 33-39 34-27 35-15 36-03 36-91 37-79 38-67 39-55 40-43 41-30 42-18 43-06 43-94 Dep. Lat 0-48 0-95 1-43 1-91 2-39 2-86 3-34 3-82 4-29 4-77 5-35 5-73 6-20 6-68 7-16 7-63 8-11 8-59 9-07 9-54 10-02 10-.50 10-97 11-45 11-93 12-41 12-88 13-36 13-84 14-31 14-79 15-27 15-75 16-22 16-70 17-18 17-C5 18-13 18-61 19-09 19-.56 20-04 20-.52 20-99 21-47 21-95 22-43 22-90 23-.38 23-86 6U Deo. 0-88 1-75 2-63 3-51 4-38 5-26 6-14 7-01 7-89 8-77 9-64 10-52 11-40 12-27 13-15 14-03 14-90 15-78 ]6-66 17-53 18-41 19-29 20-16 21-04 21-92 22-79 23-67 24-55 25-43 26-30 27-18 28-06 28-93 29-81 30-69 31-56 .32-44 33-32 34-19 3507 35-95 36-82 37-70 38-.58 .39-45 40-.33 41-21 42-08 42-96 43-84 Dep. 0-48 0-96 1-44 1-92 2-40 2-89 3-37 3-85 4-33 4-81 5-29 5-77 0-25 6-73 7-21 7-70 8-18 8-66 9-14 10-10 10-58 11-06 11-54 12-02 12-51 12-99 13-47 13-95 14-43 14-91 15-39 15-87 16-35 16-83 17-32 17-80 18-28 18-76 19-24 19-72 20-20 20-68 2M6 21-64 22-13 22-61 23-09 23-57 24-05 61i Deg. TRAVERSE TABLl 129 2S Deg. 98 99 '100 45rt3 45-91 4(5-80 47-68 48-58 49-45 5i)-33 51-21 5-3-09 5293 53-85 54-74 55-63 56-51 57-39 58-27 59-16 60-04 60-92 61-81 62-69 63-57 64-46 65-34 60-22 67-10 67-9;) 68-87 69-7^ 70-64 71-52 72-40 73-28 74-17 75-05 75-93 76-82 77-70 78-58 79-47 80-35 81-23 82-11 83-00 83-88 84-76 85-65 86-53 87-41 Dep. Dep. 23-04 24-41 2i-88 25-35 25-82 26-29 26-70 27-23 27-70 28-17 28-64 29-11 29-53 3005 30-52 30-99 31-45 31-92 32-39 32-86 33-33 33-80 34-27 34-74 3521 35-68 3615 36-62 37-09 37-58 38-03 38-50 38-97 39-44 39-91 40-37 40-84 41-31 41-78 42-25 42-72 43-19 43-66 44-13 44-60 45-07 45-54 46-01 46-48 Dec 1 ^i Dko. 1 Lat. 1 Dep. 44-93 24-14 45-81 24-61 48-69 25-09 47-57 25-5() 48-45 26-03 49-33 26-51 50-21 28-93 51-09 27-45 51-97 27-93 52-85 28-40 53-73 28-87 54-62 29-35 55-50 29-82 56-38 30-29 57-26 30-77 5814 31-24 59-02 31-71 59-90 32-19 60-78 32-86 61-66 3313 62-54 33-61 63-42 34-08 64-30 34-55 6519 35-03 66-07 35-50 (i6-95 35-97 67-83 3.5-45 68-71 38-92 69-50 37-39 70-47 37-87 71-35 38-34 72-23 33-81 73-11 39-^29 73-99 39-70 74-88 40-23 75-76 40-71 76-64 41-18 77-52 4105 78-40 4213 79-28 42-80 80-18 43-07 81-04 43-55 81-92 44-02 82-80 44-49 83-68 44-97 84-57 45-44 85-45 45-91 86-33 40-39 87-21 46-86 88-09 47-33 Dep. Lat. 61J Deq. 28i Dkg. 28} De(J. W Lat. Dep. Lat. Dep. 34-53 i 44-82 24-34 44-71 51 45-70 24-81 45-59 25-01 52 46-53 25-29 48-47 2o-49 53 47-48 25-77 47-34 25-97 54 48-33 26-24 48-22 26-45 55 49-21 26-72 49-10 28-94 58 50-09 27-20 49-97 .27-42 57 50-97 27-68 50-85 27-90 58 51-85 28-15 51-73 28-38 59 52-73 28-63 5260 28-86 60 53-51 29-11 53-48 29-34 61 54-49 29-58 54-36 29-82 62 5537 30-06 .55-23 .30-30 63 56-24 .30-54 .56-11 30-73 M 57-12 31-02 .56-99 31-28 65 58-00 31-49 57-88 31-75 66 58-88 31-97 58-74 3223 67 .59-76 32-45 59-62 32-71 68 60 04 32-92 60-49 33-19 69 61-52 33-40 61-37 33-67 70 62-40 33-8S 62-25 3415 71 63-27 34-36 63-12 34-63 72 64-15 3433 6400 35-11 73 6503 35-31 64-83 35-59 74 65-91 35-79 65-75 36-07 75 68-79 36-26 • 66-63 36-56 76 67-67 36-74 67-51 37-04 77 68-55 37-22 68-38 37-.52 78 69-43 37-70 69-26 38-00 79 70-31 38-17 70-14 38-48 80 71-18 38-65 71-01 38-95 81 72-06 39-13 71-89 .39-44 82 72-94 39-60 72-77 39-92 83 73-82 40-03 73-64 40-40 84 74-70 40-58 74-52 40-88 85 75-58 41-04 75-40 41-.38 86 76-46 41-51 78-28 41-85 87 77-34 41-99 77-15 42-33 88 78-21 42-47 78-03 42-81 89 79-09 42-94 78-91 43-29 90 79-97 43-42 79-78 43-77 91 80-85 43-90 80-66 44-25 92 81-73 44-38 81-54 44-73 93 8261 44-85 82-41 45-21 94 83-49 45-33 83-29 45-69 95 84-37 45-81 84-17 46-17 96 85-25 46-28 85-04 46-66 97 86-12 46-76 85-92 47-14 98 87-00 47-24 86-80 47-62 99 87-88 47-72 87-07 48-10 100 Dep. Lau Dep. Lat. i 61i] 3kg. 61i Deg. 5 130 TRAVERSE TABLE. ) 5 -"^^'"^-'""^ -^x-^^ ^^^-~^~~-'~^-^ ^^.^~^^v_x-v. ^-'^-'^ ■^-'^^'^ "^ 29 Dfg. m Deg. 29J Deg. 29J Deg. II Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-87 0-48 0-87 0-49 0-87 0-49 0-87 0-50 i! 2 1-75 0-97 1-74 0-98 1-74 0-98 1-74 0-99 2 / ) 3 2-62 1-45 2-62 1-47 2-61 1-48 2-60 1-49 u 4 3-50 1-94 3-49 1-95 3-48 1-97 3-47 1-98 / 5 4-37 2-42 4-36 2-44 4-35 2-46 4-34 2-48 5 ( I 6 5-25 2-91 5-23 2-93 5-22 2-95 5-21 2-98 6 ( ^ 6-12 3-39 6-11 3-42 6-09 3-45 6-08 3-47 l\ 8 7-00 3-88 7-98 3-91 7-96 3-94 6-95 3-97 ( 'J 7-87 4-36 7-85 4-40 7-83 4-43 7-81 4-47 9 ^ 10 8-75 4-85 8-72 4-89 8-70 4-92 8-68 4-96 10 ^1 9-62 5-33 9-60 5-37 9-57 5-.52 9-55 5-46 11 ) 12 10-50 5-82 10-47 5-86 10-44 5-91 10-42 5-94 12 ( ( 13 11-37 6-30 11-34 6-35 11-31 6-40 11-29 6-45 13 / 14 12-24 6-79 12-21 6-84 12-18 6-89 12-15 6-95 14 / ; 15 1312 7-27 13-09 7-33 13-06 7-39 .13-02 7-44 15 / ) 10 13-99 7-76 13-96 7-82 13-93 7-88 va4-89 "^14-76 7-94 16 / 17 14-87 8-24 14-83 8-31 14-80 8-37 8-44 17 18 15-74 8-73 15-70 8-80 15-67 8-86 15-63 8-93 18 ( 19 16-62 9-21 16-58 9-28 16-.54 9-36 16-50 9-43 19 ( 20 17-49 9-70 17-45 9-77 17-41 9-85 17-36 9-92 20 j 21 18-37 10-18 18-32 10-26 18-28 10-34 18-23 10-42 21 / 22 23 22 19-24 10-67 19-19 10-75 19-15 10-83 19-10 10-92 ) 23 20-12 11-15 20-07 11-24 20-02 11-33 20-97 11-41 S 24 20-99 11-64 20-94 11-73 20-89 11-82 21-84 lJ-91 24 ( ) 25 21-87 12-12 21-81 1222 21-76 12-31 21-70 12-41 25 ( ) 26 22-74 12-60 22-68 12-70 22-63 12-80 22-57 12-90 2(; ( ) 27 23-61 1309 23-56 13-19 23-50 13-30 23-44 13-40 27 ( 28 24-49 13-57 24-43 13-68 24-.37 13-79 24-31 13-89 28 ( 29 25-36 14-06 25-30 14-17 25-24 14-28 25-18 .14-39 29 ( 30 26-24 14-54 26-17 14-66 26-11 14-77 26-05 14-89 30 j 31 27-11 15-03 27-05 15-15 26-98 15-27 26-91 15-38 31 32 27-99 15-51 27-92 15-64 27-85 15-76 27-78 15-88 32 } 33 28-86 16-00 28-79 16-12 28-72 16-25 28-65 16-38 33 34 34 29-74 16-48 29-66 16-61 29-.59 16-74 29.52 16-87 35 30-61 16-97 30-54 17-10 30-46 17-23 30-39 17-37 35 36 31-49 17-45 31-41 17.59 31-33 17-73 31-26 17-86 36 37 32-36 17-94 32-28 18-08 32-20 18-22 32-12 18-36 .37 • 38 33-24 18-42 33-15 18-57 33-07 18-71 32-99 18-86 38 39 34-11 18-91 34-03 19-06 33-94 19-20 33-86 19.35 39 I 40 34-98 19-39 34-90 19-54 34-81 19-70 34-73 19-85 40 ( 41 35-86 19-88 35-77 20-03 35-68 20-19 35-60 20-34 41 i 42 36-73 20-36 36-64 20-.52 36-55 20-68 36-46 20-84 42 ( 43 37-61 20-85 37-52 21-01 37-43 21-17 37-33 21-34 43 ^ 44 38-48 21-33 38-39 21-.50 38-30 21-67 38-20 21-83 44 ( 45 39-36 21-82 39-26 21-99 39-17 22-16 39-07 22-33 45 ( 46 40-23 22-30 40-13 22- -18 40-04 22-65 39-94 22-83 46 / 47 41-11 22-79 4101 22-97 40-91 23-14 40-81 2332 47 ( 48 41-98 23-27 41-88 23-45 41-78 23-63 41-67 23-82 48 I 49 42-86 23-76 42-75 23-94 42-f)5 24-13 42-54 24-31 49 ( ( 50 43-73 24-24 43-62 24-43 43-52 24-62 43-41 24-81 50 ( «• ) 1 i ( (5 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 61 Deg. 60| ] Deg. m ] Oeg. m 1 Deg. <^ ^,£-tn,.^e^ l-c ■J S9 TRAVERSE TABLE, 131 a 29 Deg. 1 Lat. o,. 51 44-61 24-73 52 45-48 25-21 53 46-35 25-69 54 47-23 26-18 55 4810 2666 50 48-98 27-15 57 49-85 27-63 58 50-73 28-12 5i) 51-60 28-60 60 52-48 29-09 61 53-35 29-57 fi-2 54-23 30-06 63 55-10 30-54 64 55-98 31-03 ( 65 56-85 31-51 i 66 57-72 32-00 i 67 58-60 32-48 ( 6.S 59-47 32-97 / 61) 60-35 33-45 /70 61-22 33-94 ) 71 62-10 34-42 / 72 02-97 34-91 / 73 63-85 35-39 / 74 64-72 35-88 / 75 65-60 36-36 / 76 66-47 36-85 {V^ 67-35 37-33 68-22 69-09 69-97 70-84 71-72 72-59 73-47 74-34 75-22 76-1)9 76-97 77-84 78-72 79-59 8D-46 81-34 82-21 83-09 83-96 84-84 85-71 86-59 87-46 Dep. 37-82 38-30 38-78 39-27 3975 40-24 40-72 41-21 41-69 4-3-18 42-66 43-15 43-63 44-12 44-60 45-09 45-57 4606 46 54 47-03 47-51 48 00 48-48 Lat. 61 Deg. 44-50 45-37 46-24 47-11 47-99 48-86 49-73 50-60 51-48 52-35 53-22 54-09 .54-97 55-84 56-71 57-.58 58-46 59-33 60-20 6107 61-95 62-82 63-69 64-56 65-44 66-31 67-18 68-05 68-93 69-80 71-54 72-42 73-29 74-16 75-03 75-91 76-78 77-65 78-52 79-40 80-27 81-14 82-01 82-89 83-76 84-63 85-50 86-38 87-25 24 92 25-41 25-90 26-39 26-87 27-36 27-85 28-34 28-83 29-32 29-81 30-29 30-78 31-27 31-76 32-25 32-74 33-23 33-71 34-20 34-69 35-18 35-67 36-16 36-65 37-14 37-62 38-11 38-60 39-09 39-58 40-07 40-56 41-04 41-53 42-02 42-51 43-00 43-49 43-98 44-46 44-95 45-44 45-93 46-42 46-91 4740 47-88 48-37 48-86 Dep. 60J Deg. 44 39 45-26 46-13 47-00 47-87 48-74 49-61 50-48 51-35 52-22 53-09 53-90 54-83 55-70 56-57 .57-44 58-31 59-18 60-05 60-92 61-80 62-67 63-54 64-41 63-28 66-15 67-02 67-89 68-76 69-63 70-50 71-37 7224 73-11 73-98 74-85 75-72 76-59 77-46 78-33 79-20 80-07 80-94 81-81 82-68 83-55 84-42 85 29 86-17 87-04 2.5-11 25-61 26-10 26-59 27-08 27-58 28-07 28-56 29-05 29-55 30-04 30-53 31-02 31-52 3-201 32-.50 32-99 33-48 33-98 34-47 34-96 35-45 35-95 36-44 36-93 37-42 37-92 .38 41 38-90 39-39 39-89 40-38 40-87 41-36 41-86 42-35 42-84 43-33 43-83 44-32 44-81 45-30 45-80 4829 46-78 47-27 47-77 48-28 48-75 49-24 Dep. 44-28 45 15 46-01 46-88 47-75 48-62 49-49 .50-36 51-22 52-09 5-2-96 53-83 54-70 55-56 56-43 57-30 58-17 59-04 .59-91 60-77 25-31 25-80 26-30 26-80 27-29 27-79 28-28 28-78 29-28 29-77 30-27 30-77 31-26 31-76 32-25 32-75 33-25 33-74 34-24 34-74 61-64 35-23 62-51 35-73 64-25 6511 65-98 ,66-85 67-72 68-59 69-46 70-32 71-19 72-06 72-93 73-80 74-67 75-53 76-40 77-27 78-14 36-22 73 36-72 74 37-22 75 37-71 38-21 77 38-70 78 3930 79 C 39-70 80 ( 40-19 81 40-69 H2 41-19 83 41-68 84 / 42-18 85 / 42-67 8(5 i 43-17 87 43-67 88 / 44-16 89 / 44-66 90 / 60^ Deg. 79-01 i 45-16 79-87 45-65 80-74 46-15 81-61 46-64 82 48 47-14 8335 47-64 84-22 48-13 8508 48 63 85-95 49-13 1 86-82 49 62 1 Dep. i Lat. m\ Deg. 91 92 93 94 95 96 97 93 99 100 132 TRAVERSE TABLE. 30 Deg. 30^ Deg. 30* Deg, 30| Deg. i ; 1 ^ i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-87 0-50 0-86 0-50 0-86 0-51 0-86 0-51 o 1-73 1-00 1-73 1-01 1-72 1-02 1-72 1-02 2 3 2-GO 1-.50 2-59 1-51 2-58 1-52 2-58 1-53 3 ( 4 3-46 2-00 3-46 2-02 3-45 2-03 3-44 2-05 4 \ 4-33 2-50 4-32 2-52 4-31 254 4-30 2-.56 5 6 5-20 3-00 5-18 3-02 5-17 305 5-16 3-07 6 \ 7 6-06 3-50 6-05 3-.53 6-03 3-55 602 3-.58 ^ 8 6-93 4-00 6-91 4-03 6-89 406 6-88 4-09 8 9 7-79 4-50 7-77 4-53 7-75 4-57 7-73 4-60 9 ( 10 8-66 5-00 8-64 5-04 8-62 5-08 8-59 5-11 10 ( 11 9-53 5-50 9-50 5-54 9-48 5-58 9-45 5-62 11 ( 12 10-39 6-00 10-37 6-05 10-34 6-09 10-31 6-14 12 ( 13 11-26 6-.50 11-23 6-55 11-20 6-60 11-17 6-65 13 I 14 12-12 7-00 12-09 7-05 12-06 711 12-03 7-16 14 ( 15 12-99 7-50 12-96 7-56 12-92 761 12-89 7-67 15 ( IG 13-86 8-00 13-82 8-06 13-79 8-12 13-75 8-18 16 I j7 14-72 8-50 14-69 8-56 14-65 8-63 14-61 8-69 17 . 18 15-59 9-00 15-55 9-or 15-51 9-14 15-47 9-20 18 19 16-45 9-50 16-41 9-57 16-37 9-64 16-33 9-71 19 20 17-32 10-00 17-28 10-08 17-23 1015 17-19 10-23 20 ( 21 18-19 10-50 18-14 10-.58 18-09 10-66 18-05 10-74 ( 21 / 22 19-05 11-00 1900 Jl-08 18-96 11-17 18-91 11-25 22 ( S3 19-92 11-50 19-87 11.59 19-82 11-67 19-77 11-76 23 24 2l)-78 12-00 20-73 12-09 20-68 12-18 20-63 12-27 24 ( 25 21-65 12-50 21-60 12-59 21-54 12-69 21-49 12-78 2.5 ■2Q 22-52 13-00 22-46 1310 22-40 13-20 22-34 13-29 26 27 23-38 13-50 23-32 13-60 23-26 13-70 23-20 13-80 27 ' 23 24-25 1400 24-19 14-11 24-13 14-21 24-06 14-32 28 ' 20 25-11 14-50 25-05 14-61 24-99 14-72 24-92 14-83 29 30 25-98 15-00 25-92 1511 25-85 15-23 25-78 15-34 30 ( \ 31 26-85 15-50 20-78 15-62 26-71 15-73 26-64 15-85 31 ^ 32 27-71 16-00 27-64 16-12 27-57 16-24 27.50 16-36 .32 ) 33 28-58 16-50 28-51 16-62 28-43 16-75 28-36 16-87 33 I 34 29-44 17-00 29-37 17-13 29-30 17-26 29 22 17-38 34 ) 35 30-31 17-50 30-23 17-63 3016 17-76 30-08 17-90 35 ) 36 31-18 18-00 31-10 18-14 3102 18-27 30-94 18-41 36 ) 37 32-04 18-50 31-96 18-64 31-88 18-78 31-80 18-92 37 ■( ) 38 32-91 19-00 32-83 19-14 32-74 19-29 .32-66 19-43 38 ) 39 33-77 19-50 33-69 1965 33-60 19-79 33.52 19-94 39 ) 40 34-64 29-00 34 55 20-15 34-47 20-30 34-38 20-45 40 ( ) 41 35-51 20-50 35-42 20-65 3.5-33 20-81 .35-34 20-96 41 ) 42 36-37 21-00 36-28 21-16 36-19 21-32 36-10 21-47 42-/ ) 43 37 24 21-50 37-14 21-66 37-05 21-82 36-95 2199 43 ) 44 38-11 22-00 3801 2-2-17 37-91 22-33 37-81 22 50 44 ) 45 38-97 22-50 38-87 22-67 38-77 22 84 38^7 23-01 45 ) 46 39-84 23-00 39-74 2.3-17 39-63 23-35 39-.53 23-52 46 ) 47 40-70 23-50 4060 23-63 40-50 23 85 40-39 24-03 47 ) 48 41-57 2400 41-46 24-18 41-36 24-36 41-25 2-1-54 48 ) 49 42-44 24-50 42 33 24-68 42 22 24-87 4211 25-05 49 50 43-30 25-00 43-19 25-19 43-08 25-38 42-97 25-56 50 Dep. Lat. Dep. Lat. Dap. Lat. Dep. Lat. i 5 .2 a ( .2 60 I )kg. 591 Deg. 59^ Deo. 59i Deg. TRAVERSE TABLE, 133 ) 30 Deg. 30i De6. 30i Deg. 305 Deg. Lat. 44-17 Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 25-50 44-06 25-69 43-94 25.88 43-83 26-08 51 1 -,-2 4503 20-00 44-92 26-20 44-80 26-39 44-69 26-59 52 .33 45-90 26-50 45-78 26-70 45-67 26-90 45-55 27-10 53 .54 4f>-77 27-00 46-65 27-20 46-53 27-41 46-41 27-61 54 55 47-63 27-50 47-51 27-71 47-39 27-91 47-27 28-12 55 ; of) 48-50 23-00 48 37 28-21 48 25 28-42 4813 28-63 56 ) o7 49-36 28-50 49-24 28-72 4911 28-93 48-99 29-14 57 ) .38 50-23 29-00 50-10 29-22 49-97 29-44 49-85 29-65 58 ) .iij 51-10 29-50 50-97 29-72 50-84 29-94 50-70 30-17 59 ) •60 51-96 30-00 51-83 30-23 51-70 30-45 5156 30-68 60 : 61 .52-83 30-50 52-69 30-73 52-58 30-96 52-42 31-19 61 (>2 53-69 31-00 53-58 31-23 53-42 31-47 53-28 31-70 62 i,;i 54-56 31-50 54-42 31-74 54-28 31-97 54-14 32-21 83 o4 55-43 32-00 55-29 32-24 55-14 32-48 5.5-00 32-72 84 G5 56-29 32-50 56-15 32-75 58-01 32-99 55-86 33-23 65 r.i) 57-16 33-00 57-01 33-25 56-87 33-50 56-72 33-75 66 (37 58-02 33-50 57-38 33-75 57-73 34-01 57-58 34-28 87 *i8 58-89 34-00 58-74 34-26 58-59 34-51 58-44 34-77 68 CD 59-76 34-50 59-60 34-76 59-45 3502 59-30 35-28 69 'A) 60-62 35-00 60-47 35-28 60-31 35-53 60-16 35-79 70 71 61-49 35-50 61-33 35-77 61-18 36-04 61-02 36-30 71 72 62-35 36-00 62-20 36-27 62-04 36-.54 61-88 36-81 72 , /;; 63-22 36-50 63-06 36-78 6-2-90 37-05 02-74 37-32 73 ;4 64-09 3700 63-92 37-28 63-76 37-56 63-60 37-84 74 : ..5 64-95 37-50 64-79 37-78 64-62 38-07 64-46 38-35 75 ) '" 65-82 38-00 65-65 38-29 65-48 38-57 65-31 38-86 76 S 77 66-68 38-50 68-52 38-79 66-35 39-08 • 66-17 39-37 77 ' 7>i 67-55 39-00 67-38 39-29 67-21 39-59 67-03 39-88 78 7i» 68-42 39-50 68-24 39-80 68-07 4010 67-89 40-39 79 .>0 69-28 40-00 69-11 40-30 68-93 40-60 68-75 40-90 80 PI 70-15 40-50 69-97 40-81 69-79 41-11 69-61 41-41 81 '&i 7101 41-00 70-83 41-31 70-05 41-62 70-47 41-93 82 f>:i 71-88 41-50 71-70 41-81 71-52 42-13 71-33 42-44 83 ri 72-75 42-00 72-58 42-32 72-38 42-63 72-19 42-95 84 ■ ;-<5 73-61 42-50 73-43 42-82 73-24 43-14 7305 43-46 • 85 SCi 74-48 43-00 74-29 43-32 74-10 43-65 73-91 43-97 88 H7 75-34 43-50 75-15 43-83 74-93 44-16 44-43 87 8L-! 76-21 4400 76-02 44-33 75-82 44-66 75-63 44-99 88 f>:i 77-08 44-50 76-88 44-84 76-68 45-17 76-49 45-51 89 DO 77-94 45-00 77-75 45-34 77-55 45-68 77-35 46-02 90 91 78-81 45-50 78-61 45-84 78-41 46-19 78-21 48-53 91 92 79-67 46-00 79-47 46-35 79-27 46-69 79-07 47-04 92 U3 80-54 4650 80-34 48-85 80-13 47-20 79-92 47-55 93 94 81-41 47-00 81-20 47-35 80-99 47-71 80-78 48-06 94 95 R2-27 47-50 8206 47-86 81-85 48-22 81-64 48-57 95 9T 83-14 48-00 82-93 48-36 82-72 48-72 82-50 4908 96 , 07 84-00 43 50 83-79 48-87 83-58 4923 83-36 49-60 97 ) i!^ 8i-87 4900 84-66 49-.37 84-44 49-74 84-22 50-11 98 ; 99 85-74 4950 85-52 49-87 85-30 50-25 85-(l8 50-62 99 WOO 86-80 5000 86-38 50-38 86-18 50-75 85-94 51-13 100 - Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 1 d 60 T )eg. 591- Deg, 59* Deg. 59i Deg. 2 ( .2 c ° j 12 134 TRAVERSE TABLE. 31 Deg. 0-86 1-71 2-57 3-43 4-2D 5-14 6-00 6-86 7-71 8-57 9-43 10-29 11-14 12-00 12-86 13-71 14-57 15-43 16-29 1714 18-00 18-8(5 19-71 20-57 21-43 2229 23-14 24-00 24-86 25-71 26-57 27-43 28-29 29-14 30-00 30-86 31-72 32-57 33-43 34-29 3514 3600 36-80 37-72 38-57 39-43 40-29 41-14 42-00 42 86 Dep. 051 1-03 1-55 2-06 2-58 3-09 3-61 4-12 4 64 515 5-67 6-18 6-70 7-21 7-73 8-24 8-76 9-27 9-79 10-30 10-82 l]-33 11-85 12-36 12-88 13-39 13-91 14-42 14-94 15-45 15-97 16-48 1700 17-51 18-03 18-54 1906 19-57 20-09 20-60 21-12 21.63 22-15 22 66 23-18 23-69 24-21 24-72 2524 2575 3U Des. Dep. Lat. 0-85 1-71 2-.56 3-42 4-27 5-13 5-98 6-84 7-69 8-55 9-40 10-26 11-11 11-97 12-82 13-68 14-53 15-39 16-24 17-10 17-95 18-81 19-66 2d-52 21-37 2-2-23 23-08 23-94 24-79 25-65 26-50 27-36 28-21 29-07 29-92 30-78 31-63 3249 33-34 34-20 35-05 3.5-91 36-76 37-62 38-47 39-33 40-18 41-04 41-89 42-75 Dep. Dep. 0-52 1-04 1-50 2-08 2-59 3-11 3-63 4-15 4-67 5-19 5-71 6-23 6-74 7-26 7-78 8-30 8-82 9-34 9-86 10-38 10-89 11-41 11-93 12-45 12-97 13-49 1401 14.53 15-04 15-56 16-08 16-60 17-12 17-64 18-16 18-68 1.9-19 19-71 20-23 20-75 21-27 21-79 22-31 22-83 23-34 23-86 24-38 24-90 25-42 25-94 31^ Deg. 0-85 1-71 2-56 3-41 4-26 5-12 5-97 6-82 7-67 8-53 9-38 10-23 11-08 11-94 12-79 13-64 14-49 15-35 16-20 17-05 17-91 18-76 19-61 20-46 21-32 22-17 23-02 23-87 24-73 25-58 26.43 27-28 28-14 28-99 29-84 30-70 31-55 32-40 33 25 34-11 34-96 35-81 36-66 37-52 38-37 39-22 40-07 40-93 41-78 42-63 59 Deg. || 58^ Deg. Dep. Dep. 0-52 1-04 1-57 2-09 2-61 3-13 3-66 4-18 4-70 5-22 5-75 6-27 6-79 7-31 7-84 8-36 8-88 9-40 9-93 10-45 10-97 11-49 12-02 12-54 13-06 13-58 14-11 14-63 15-15 15-67 16-20 16-72 17-24 17-76 18-29 18-81 19-33 19-85 20-38 20-90 21-42 21-94 22-47 22-99 23-51 24-03 24.56 25-08 25-60 26-12 5Qh Deg. 31| Deg. = ) Lat. Dep. ' S S 0-85 0-53 1 1-70 1-05 o 2-55 1-58 3 3-40 2-10 4 ( 4-25 2-63 5 ( 5-10 3-16 6 ( 5-95 3-68 7 ? 6-80 4-21 8 / 7-65 4-74 9 ( 8-50 5-26 10 / 9-35 5-79 11 ( 10-20 6-31 12 ( 11-05 6-84 13 I 11-90 7-37 14 ( 12-76 7-89 15 ( 13-61 8-42 1(5 / 14-46 8-95 17 ( 15-31 9-47 18 ( 16-16 10-00 19 17-01 10-52 20 / 17-86 1105 21 18-71 11-58 22 ) 19-.56 12-10 23 ( 20-41 12-63 24 / 21-26 13-16 25 ) 22-11 13-68 26 22-96 14-21 27 ) 23-81 14-73 28 ) 24-66 15-26 29 > 25-51 15-79 30 26-36 16-31 31 27-21 16-84 32 ) 2806 17-37 33 28-91 17-89 34 ) 29-70 18-42 35 ) 30-61 18-94 36 } 31-46 19-47 37 38 32-31 20-00 3316 20-52 39 34-01 21-05 40 ) 34-86 21.57 41 ) 35-71 2210 42 36.57 22-63 43 .37-42 2315 44 38-27 23-68 45 39-12 24-21 46 39-97 24-73 47 40-82 2.5-26 48 ) 41-67 25-78 49 ) 42-52 26-31 50 j Dep. Lat. 1 i5 ( 58i Deg. TRAYERSE TABLE. 135 D 31 Deg. 3li Deg. 314 Deg. 31J Deg. 2 N 1 5 Lat. Dep. Lai. Dep. Lat. Dep. Lat. 43-37 Dep, ( 51 4372 26-27 43-60 26-46 43-48 26-65 26-84 51 I 5-2 44-57 26-78 44-46 26-93 44-34 27-17 44-22 27-36 52 ( 53 45-43 27-30 45-31 27-49 45-19 27-69 45-07 27-89 53 ) 54 46-2i) 27-81 46-17 28-01 46-04 28-21 45-92 28-42 54 ( 55 47-14 28-33 4702 28-53 46-90 28-74 46-77 28-94 55 ( ( 56 48-00 28-84 47-83 29-05 47-75 29-26 47-62 29-47 56 < } 57 48-86 29-36 48-73 29-57 48-60 29-78 48-47 29-99 57 ( ( 58 49-72 29-87 49-58 30-09 49-45 30-30 49-32 30-52 58 ( / 59 50-57 30-39 50-44 30-61 50-31 30-83 5017 31-05 59 ( 60 ( t 61 62 51-43 30-90 51-29 31-13 51-16 31-35 51-02 31-57 60 52-29 31-42 5215 31-65 52-01 31-87 51-87 3210 61 53-14 31-93 53-00 32-16 52-86 32-39 .52-72 32-63 62 ( 63 54-00 32-45 53-86 32-68 53-72 32-92 53.57 3.3-15 63 / ( 64 54-86 32-96 54-71 33-20 54-.57 33-44 54-42 33-68 64 ( 65 55-72 33-48 55-57 33-72 55-42 33-96 55-27 34-20 65 ) ( 66 56-57 33-99 56-42 34-24 56-27 34-48 56-12 34-73 66 ( 67 57-43 34-51 57-28 34-76 5713 35-01 56-98 35-26 67 ( 68 58-29 35-02 58-13 35-28 57-98 35-53 57-82 35-78 68 {69 59-14 35-54 58-99 35-80 58-83 36-05 .58-67 36-31 69 ) ( 70 6000 36-05 59-84 36-31 59-68 36-57 59-52 36-83 70 ! ) ''^ 60-86 36-57 60-70 36-83 60-54 37-10 60-37 37-36 71 ; ( 7-2 61-72 37-08 61-55 37-35 61-39 37-62 61-23 38-89 72 73 62-57 37-60 62-41 37-87 62-24 38-14 62-08 38-41 73 74 63-43 38-11 63-26 38-39 63-10 38-66 62-93 38-94 74 75 64-29 38-63 64 12 38-91 63-95 39-19 63-78 39-47 75 s "-e 6514 39-14 64-97 39-43 64-80 39-71 64-63 39-99 76 / ( 77 6600 39-66 65-83 39-95 65-65 40-23 . 65-48 40-52 77 ( 78 66-86 40-17 66-68 40-46 66-51 40-75 66-33 41-04 78 ( 79 67-72 40-69 67-54 40-98 67-36 41-28 67-18 41-57 79 ) ( 80 68-57 41-20 68-39 41-50 68-21 41-80 68-03 42-10 80 81 69-43 41-72 69-25 42-02 69-06 42-32 68-88 42-62 81 ) 82 70-29 42-23 70-10 42-54 69-92 42-84 69-73 43-15 82 ) 83 71-14 42-75 70-96 43-06 70-77 43-37 70-58 43-68 83 ) 84 72-00 43-26 71-81 43-58 71-62 43-89 71-43 44-20 84 ) 85 72-86 43-78 72-67 44-10 72-47 44-41 72-28 44-73 85 ) 86 73-72 44-29 73-52 44-61 73-33 44-93 73-13 45-25 86 ) 87 74-57 44-81 74-38 4.513 74-18 45-46 73-98 45-78 87 ) 88 75-43 45-32 75-23 45-65 75-03 45-98 74-83 46-31 88 ) 89 76-29 45-84 76-09 46-17 75-88 46-50 75-68 46-83 89 ) 90 77-15 46-35 76-94 46-69 76-74 47-02 76-53 47-36 90 ) 91 78-00 46-87 77-80 47-21 77-59 47-55 77-38 47-89 91 ) 92 78-86 47-38 7865 47-73 78-44 48-07 78-23 48-41 92 ) 93 79-72 47-90 79-5] 48-25 79-30 48-59 79-08 48-94 93 ) 94 80-57 48-41 80-36 48-76 80-15 49-11 79-93 49-47 94 ) 95 81-43 48-93 81-22 49-28 81-00 49-64 80-78 49-99 95 ) 96 82-29 49-44 82-07 49-80 81-85 50-16 81-63 50-52 96 ) 97 83-15 49-96 82-93 50-32 82-71 .50-68 82-48 51-04 97 ) 98 84-00 50-47 83-78 50-84 83-56 51-20 83-33 51-,57 98 ) ) 99 84-86 5099 84-64 51-36 84-41 51-73 84-18 .5-2.10 99 ) ,100 85-72 51-50 85-49 51-88 85-26 52-25 85-04 52.62 100 ) C f i5 / ^ Dep. Lau Dep. Lat. Dep. Lat. Dep. Lat. ( ■- 1° 59 1 )eg. 58J Deg. 58i Deg. 58i Deg. 136 TRAVERSE TABLE. — ( 1 32 Deg. 32i Deg. 32^ Deg. 32J Deg. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 0-85 0-53 0-85 0-53 084 054 0-84 0-.54 1 / 1-70 1-06 1-69 1-07 1-69 1-07 1-68 1-08 2 / 3 2-54 1-59 2-54 1-00 2-53 1-61 2-52 1-62 3 / 4 3-39 2-12 3-38 213 3-37 2-15 3-36 2-16 4 ) ( 5 4-24 2-65 4-23 2-67 4-22 2-69 4-21 2-70 11 6 5-09 3-18 5-07 3-20 5-06 ■^-no 5-05 3-25 5-94 3-71 5-92 374 5-90 3-76 5-F9 3-79 8 6-78 4-24 6-77 4-27 6-75 4-30 6-73 4-33 8 ) 9 7-63 4-77 7-61 4-80 7-59 4-84 7-57 4-87 9 / ) ^^ 8-48 5-30 8-46 5-34 8-43 5-37 8-41 5-41 10 ( ( 11 9-33 5-83 9-30 5-87 9-2R 5-91 9-25 5-95 11 ; ) 12 10-18 6-36 10-15 6-40 10-12 6-45 10-09 6-49 12 ) ) 13 11-02 6-89 10-99 6-94 10-96 6-98 1093 7-03 13 ) ) 14 11-87 7-42 11-84 7-47 11-81 7-52 11-77 7-57 14 ) ) 15 12-72 7-95 12-69 8-00 12-65 806 12-62 8-11 15 ) ) 16 13-57 8-48 13-53 8-54 13-49 8-60 13-46 8-66 16 ) 17 18 19 ^20 14-42 9-01 14-38 9-07 14-34 9-13 14-30 9-20 17 15-26 9-54 15-22 9-61 15-18 9-67 1.5-14 9-74 18 16-11 1007 16-07 1014 16-02 10-21 15-98 10-28 19 16-98 10-60 16-91 10-67 16-87 10-75 16-82 10-82 20 {21 17-81 11-13 17-76 11-21 17-71 11-28 17-66 11-36 21 J ( 22 18-66 11-66 18-61 11-74 18-.55 11-82 18-50 11-90 22 ( 23 19-51 12-19 19-45 12-27 19-40 12-36 19-34 12-44 23 ( 24 20-35 12-72 20-30 12-81 2i)-24 12-90 2U-18 12-98 24 ( 25 21-20 13-25 21-14 13-34 21-08 13-43 21-03 13-52 25 ) < 26 22-05 13-78 21-99 13-87 21-93 13-97 21-87 14-07 26 ) ( 27 22-90 14-31 22-83 14-41 22-77 14-51 22-71 14-61 27 ) ( 28 23-75 14-84 23-68 14-94 23-61 15-04 23-55 15-15 28 ) ( 29 24-59 15-37 24-53 15-47 24-46 1.5-58 24-39 15-69 29 ) ( 30 25-44 15-90 25-37 16-01 25-30 16-12 25-23 16-23 30 ) 31 26-29 16-43 26-22 16-54 26-15 16-66 2607 16-77 31 J 32 27-14 16-96 27-06 17-08 26-99 17-19 20-91 17-31 32 > 33 27-99 17-49 27-91 17-61 2783 17-73 27-75 17-85 33 ) 34 28-83 18-02 2S-75 18-14 28-68 18-27 28-60 18-39 34 35 29-68 18-55 29-60 18-68 29-52 18-81 2944 18-93 35 ) 36 30-53 19-08 30-45 19-21 30-30 19-34 30-28 19-48 36 37 31-38 19-61 31-29 19-74 31-21 19-88 3112 20-02 37 38 32-23 2014 32-14 20-28 3205 20-42 31-96 20-56 38 ) 39 3307 20-67 32-98 20-81 32-89 20-95 .32-80 21-10 39 ) 40 33-92 21-20 33-83 21-34 33-74 21-49 33-64 21-64 40 ' 41 34-77 21-73 .34-67 21-88 34-58 2203 34-48 22-18 41 ) ) 42 35-62 22 26 35-52 2241 35-42 2257 35-32 20.72 42 / ) 43 3647 22-79 36-37 22-95 30-27 23-10 .36 16 23-26 43 / ) 44 37-31 23-32 37-21 23-48 3711 23f.4 3701 23-80 44 45 38 16 23-85 38 06 2401 37-95 2418 37 85 24-34 45 39-01 24-38 38-90 24 55 38-80 24-72 38-69 24-88 46 3986 24-91 39-75 25-08 39-64 25-25 39-53 25-43 47 ) 48 40-71 25-44 40-59 2.5-61 40-48 25-79 40-37 25-97 48 / ) 49 41-55 25-97 41-44 26-15 41-33 26-33 4121 23-51 49 / ; 50 42-40 26-50 42-29 26-68 4217 20-86 4205 27-05 Lat. 50 ) ( ^ li Dep. Lat. Dep. Lat. Dep. Lat. Dep. 58 Deg. 57$ Deg. 57^1 )EG. 57il )EG. TRAVERSE TABLE. 137 r'^'^ '^'^-^^ ] ^ ^^'~^~-'^~- ^-^~^~-^"-^ ^^^^-^^■^ -^-^-'^'^ ? \! 32 Deo. 32i Deg. 33.V Deg. 32i Deo. d ) li ) 5 1 Lat. i Dep. Lat. Dep. Lat. Dep. Lat. Dep. ( 51 43-25 2703 4313 27-21 43-01 27-40 42-89 27-59 5, } m 44-10 27-56 43-98 27-75 43-86 27-94 43-73 28-13 52 I ■ 53 44-95 28-09 44-82 23-28 44-70 28-48 44-58 28-67 53 ( 54 45-79 28-62 45-67 28-82 45-54 29-01 4.5-42 29-21 .54 I 55 46-64 29-15 46-51 29-35 46-39 29-55 46 26 29-75 55 ( 5G 47-49 29-68 47-36 29-88 47-23 3009 47-iO 30-29 56 ( 57 48-34 30-21 48-21 30-42 48-07 30-63 47-94 30-84 57 58 ' 5,^ 49-19 3074 4905 30-95 48-92 31-16 48-78 31-38 5iJ 50-03 31-27 49-90 31-48 49-76 31-70 49-02 31-92 59 GO 50-88 31-80 50-74 32-02 50-60 32-24 50-46 32-46 60 / Gl 51-73 32-33 51-59 32.55 51-45 32-78 51-30 33-00 61 (i2 63 J 6i> 52-58 32-85 5244 33-08 52-29 3331 52-14 33-54 63 53-43 33-38 53-28 33-02 53-13 33-85 52-99 34-08 ' 64 54-28 33-91 5413 34-15 53-98 34-39 .53-83 34-62 64 \ ,' 05 5512 34-44 54-97 34-68 54-82 34 92 54-67 35-18 65 ( ) m 55-97 34-97 55-82 35-22 55-66 35-46 55-51 35-70 66 ' ' 67 56-82 35-50 56-66 35-75 .56-51 33-00 56-35 36-25 67 08 57-67 36-03 57-51 36-29 57-35 36-.54 57-19 36-79 68 09 58-52 30-56 58-36 30-82 5819 37-07 58-03 37-33 69 j7U 59-36 37-09 59-20 37-35 5904 37-61 58-87 37-87 70 J h^ 6021 37-62 60-05 37-89 59-88 38-15 59-71 38-41 71 I ^ 72 61-06 38-15 60-89 38-42 60-72 38-69 60-55 38-95 72 73 61-91 38-68 61-74 38-95 6157 39-22 61-40 39-49 73 74 62-76 39-21 62-58 39-49 62-41 39-76 62-24 40-03 74 75 63-60 39-74 83-43 40-02 63 25 4030 63-08 40-57 75 7(5 64-45 40-27 64-28 40-55 6410 40-83 63-92 41-11 76 77 65-30 40-80 65-12 41-09 64-94 41-37 - 64-76 41-65 77 78 66-15 41-33 65-97 41-62 65-78 41-91 65 60 42-20 78 79 67-00 41-86 66-81 42-16 66-63 42-45 66-44 42-74 79 m 67-84 42-39 67-66 42-69 67-47 42-98 67-28 43-28 80 81 68-69 42-92 68-50 43-22 68-31 43-52 68-12 43-82 81 ( 82 69- .34 43-45 6935 4a-70 69-16 44-06 68-97 44-36 82 83 70--J9 43-98 70-20 44-29 70-00 44-60 69-81 44-90 83 ) f-4 71-24 44-51 71-04 44-82 70-84 4.5-13 70-65 45-44 84 / .■^5 72-08 45-04 71-89 45-3t) 71-69 4507 71-49 45-98 85 I H6 72- 5 100 84-eO 52-99 84-57 53-38 84-34 53-73 84-10 54-10 ) " Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. J] \^ 58 ] Deg. 57| Deg. 57i Deg. 57i Deg. 12^ 138 E TABLE. 33 E EG. 33i Deg. 33i Deg. 33| Deg. ( Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ; 1 0-84 0-54 084 0-55 0-83 0-55 0-83 G-56 1 ) ) 2 1-68 1-09 1-67 1-10 1-67 1-10 1-66 1-11 I 3 2-52 1-63 2-51 1-64 2-50 1-66 2-49 1-67 4 3-35 2-18 3-35 2-19 3-34 2-21 3-33 2-22 f 5 4-19 2-72 4-18 2-74 4-17 2-76 4-16 2-78 5 I 6 503 3-27 5-02 3-29 500 3-31 4-99 3-33 6 ( 7 5-87 3-81 5-85 3-84 5-84 3-86 5-82 3-89 7 S ( 8 G-71 4-36 G-G9 4-39 6-tJ7 4-42 665 4-44 8 S y 7-55 4-90 7-53 4-93 7-50 4-97 7-48 5-00 9 { 10 8-39 5-45 8-36 5-48 8-34 5-52 8-31 5-56 10 ( 11 9-23 5-99 9-20 6-03 9-17 6-07 9-15 6-11 11 ) 12 10-05 6-54 10-04 6-58 1001 6-62 9-98 6-67 12 13 10-90 7-08 10-87 7-13 10-84 7-18 10-81 7-22 13 ( ( 14 11-74 7-62 11-71 7-68 11-67 7-73 11-64 7-78 14 ( ) 15 12-58 8-17 12-54 8-22 12-51 8-28 12-47 8-33 15 ( > IG 13-42 8-71 13-38 8-77 13-34 8-83 13-30 8-89 16 ( ) 17 14-26 9-26 14-22 9-32 14-18 9-38 14-13 9-44 17 / ) Id 15-10 9-80 15-05 9-87 1501 9-93 14-97 10-00 18 / ) 19 15-93 10-35 15-89 10-42 15-84 10-49 15-80 10-56 19 ) U, lG-77 10-89 16-73 10-97 16-G8 11-04 16-63 11-11 20 ) »i 17-61 11-44 17-56 11-51 17-51 11-59 17-46 11-67 21 ) ) ii'J 18-45 11-98 18-40 12-06 18-35 12-14 18-29 12-22 22 ) ) -23 19-29 12-53 19-23 12-61 19-18 12-69 19-12 12-78 23 i ) 24 20-13 13-07 20-07 13- J 6 20-01 13-25 19-96 13-33 24 ) ) 25 20-97 13-62 20-91 13-71 20-85 13-80 20-79 13-89 25 ) 20 21-81 14-16 21-74 14-26 21-68 14-35 21-62 14-44 26 27 22-64 14-71 22-58 14-80 22-51 14-90 22-45 15-00 27 / 28 23-48 15-25 23-42 15-35 23-35 15-45 23-28 15-56 28 > ) 2y 24-32 15-79 24-25 15-90 24-18 16-01 24-11 16-11 29 S 3U 25-16 16-34 25-09 16-45 25-02 16-56 24-94 16-67 30 J 31 2G-00 16-S3 25-92 17-00 25-85 17-11 25-78 17-22 31 ( .32 ) 32 2G-84 17-43 26-76 17-55 26-68 17-66 26-61 17-78 S 33 27-68 17-97 27-60 18-09 27-52 18-21 27-44 18-33 33 ) \ 34 28-51 18-52 28-43 18-64 28-35 18-77 28-27 18-89 34 ) { 35 29-35 19-06 29-27 19-19 29-19 19-32 29-10 19-44 35 5 ( 3(j 30-19 19-61 30-11 19-74 30-02 19-87 29-93 20-00 36 ) ) 37 31-03 20-15 30-94 20-29 30-85 20-42 30-76 20-56 37 ( 38 31-87 20-70 31-78 20-84 31-69 20-97 31-60 21-11 38 < 39 32-71 21-24 32-G2 21-38 32-52 21-53 32-43 21-67 39 J 40 33-55 21-79 33-45 21-93 33-36 22-08 33-26 22-22 40 < 41 34-39 22 33 34-29 22-48 34-19 22-63 34-09 22-78 41 42 42 35-22 22-87 3512 23-03 35-02 2318 34-92 23-33 43 3G-0G 23-42 35-96 23-58 35-86 23-73 3575 23-89 43 , 44 3G-90 23-96 36-80 24-12 36-69 24-29 36-58 24-45 44 45 37-74 24-51 3763 24-67 37-52 24-84 37-42 25-00 45 4G 38-58 25-05 38-47 25-22 38-36 25-39 38-25 25-56 46 ( 47 39-42 25-GO 39-31 25-77 39-19 25-94 39-08 26-11 47 ^ ( 48 40-26 26-14 4014 26-32 4003 26-49 39-91 26-67 48 ' < 49 41-09 26-69 40-98 26-87 40-86 27-04 40-74 27-22 49 ( 50 41-93 27-23 41-81 27-41 41-69 27-60 41-57 27-78 50 ( -^ Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 57 Deg. 56i Deg. 56i Deg. 56i Deg. TRAVERSE TABLE. 139 33 Deg. 33i Deg. 334 Deg. 33^ Deg. £. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 5 51 42-77 27-78 4265 27-96 42-53 28-15 42.40 28-33 51 } ( 52 43-81 28-32 43-49 28-51 43-30 28-70 43-^ 28-89 52 53 / / 53 44-45 28-87 44-32 2c}-06 44-20 29-25 4407 29-45 54 45-29 29-41 45-16 2iJ-61 45-03 29-80 44-90 30-00 5! 55 45-13 29-96 40-00 30-16 4.5-86 30-36 45-73 30-56 56 46-97 30-50 40-83 30-70 46-70 30-91 46-58 31-11 58 ( 57 47-80 31-04 47-67 31-25 47-53 31-46 47-39 3167 57 ( 58 48-64 31-59 48-50 31-80 48-37 32-01 48-23 32-22 58 ( 59 60 / 49-48 32-13 49-34 32-35 49-20 32-56 49-06 32-78 59 ( 50-32 32-68 50-18 32-90 50-03 33-12 49-89 33-33 60 J 61 I 62 ( I 61 62 51-16 33-22 51-01 33-45 50-87 33-67 50-72 33-89 52-00 33-77 51-85 33-i)9 51-70 34-22 51-55 34-45 63 52-84 34-31 52-89 34.54 .52-53 34-77 52-38 35-00 63 ( 64 53-67 34-86 53-52 35-09 53-37 3.5-32 53-21 35-56 64 ( 65 54-51 35-40 54-30 35-64 54-23 35-88 54-05 3611 65 66 55-35 35-95 55-19 36-19 55-04 36-43 54-88 36-67 66 67 56-19 36-49 .50-03 30-74 55-87 36-98 55-71 37-22 67 68 5703 37-04 56-87 37-28 56-70 37-53 56-54 37-78 08 69 57-87 37-58 57-70 37-83 57-54 38-08 57-37 38-33 69 ( 70 58-71 38-12 58-54 38-38 58-37 38-64 58-20 38-89 70 ( 71 ( I 7] 59-55 38-67 59-38 38-93 59-21 39-19 59-03 39-45 / 72 ;73 60-38 39-21 60-21 39-48 60-04 39-74 59-87 40-00 72 ( 61-22 39-76 01-05 40-03 60-87 40-29 60-70 40-.56 73 ( 74 62-06 40-30 61-89 40-57 61-71 40-84 61-53 41-11 74 75 76 I 77 62-90 40-85 62-72 41-12 62-54 41-40 62-36 41-67 75 63-74 41-39 63-56 41-67 63-38 41-95 6319 42-22 76 / 64-58 41-94 64-39 42-22 64-21 42-50 6402 42-78 77 / ; 78 65-42 42-48 65-23 42-77 65-04 43-05 ' 64-85 43-33 78 I (. 79 66-25 43-i;3 66-07 43-32 65-88 43-60 65-69 43-89 79 ? ( 80 67-09 43-57 66-90 43-86 66-71 44-15 66-52 44-45 80 ( 81 67-93 44-12 67-74 44-41 67-.54 44-71 67-35 45-00 81 ( 82 68-77 44-66 68-58 44-96 68-38 45-28 68-18 4556 82 83 69-61 45-20 69-41 45-51 69-21 4.5-81 6901 46-Jl 83 84 70-45 45-75 70-25 46-06 70-05 46-36 69-84 46-67 84 ( 85 71-29 46-29 71-08 46-60 70-88 46-91 70-67 47*22 85 86 88 72-13 46-84 71-92 47-15 71-71 47-47 71-51 47-78 87 72-96 47-33 72-76 47-70 72-55 48-02 72-34 48-33 87 ) 88 73-80 47-93 73-59 43-25 73-38 48-57 73-17 48-89 88 89 74-64 48-47 74-43 48-80 74-22 49-12 74-00 49-45 89 ) 90 75-48 49-02 75-27 49-35 75-05 49-67 74-83 50,-00 90 ) 91 76-32 49-56 7610 49-89 75-88 50-23 75-66 50-56 91 ) 92 77-16 50-11 76-94 50-44 76-72 50-78 76-50 51-11 92 ) 93 78-00 50-65 77-77 50-99 77-55 51-33 77-33 51-67 93 ) ( 94 78-83 51-20 78-61 51-54 78-39 51-88 78-16 52-22 94 ( 95 79-67 51-74 79-45 52-09 79-22 .52-43 78 99 52-78 95 ) 96 80-51 52-29 80-28 52-64 80-05 .52-99 79-82 53-.33 96 97 81-35 52-83 81-12 53-18 80-89 53-54 80-55 53-89 97 98 82-19 53-37 81-96 53-73 81-72 54-09 81-48 54-45 98 ) 99 83-03 53-92 82-79 54-28 82-55 .54-04 82-32 55-00 99 ) 100 83-87 54-46 83-63 54-83 83-39 55-19 83-15 55-56 100 j ii Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i } 57 1 )eo. 56J Deg. 501 Deg. 561 Deg. ■' 140 1 34 Deg. m Deg. 34 J Deg. 345 Deg. 5 \ s i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-83 0-56 0-83 0-56 C-82 0.57 0-82 0-57 2 1-66 1-12 1-65 1-13 1-65 1-13 1-64 114 3 2-49 1-68 2-48 1-69 2-47 1-70 2-46 1-71 3 ( 4 3-32 2-24 3-31 2-25 3-30 2-27 3-29 2-28 4 ) 5 4-15 2-80 4-13 2-81 4-12 2-83 4-11 2-85 5 ) ti 4-97 3-36 4-96 3-38 4-94 3-40 4-93 3-42 6 7 5-80 3-yi 5-79 3-!t4 5-77 3-96 5-75 3-99 V s 8 6-63 4-47 6-61 4-50 6-59 4-53 6-57 4-56 8 S y 7-46 5-03 7-44 5-07 7-42 5-10 7-39 5-13 9 S 10 8-29 5-59 8-27 5-63 8-24 5-66 8-22 5-70 10 J 11 9-12 6-15 9-09 6-19 9-07 6-23 9-04 6-27 11 \ n 9-95 6-71 9-92 6-75 9-89 6-80 9-86 6-84 12 < 13 10-78 7-27 10-75 7-32 10-71 7-36 10-68 7-41 13 14 11-61 7-83 11-57 7-88 11.54 7-93 11.50 7-98 14 ( 15 12-44 8-3D 12-40 8-44 12-36 8-.50 12-32 8-55 15 ( 16 13-26 8-95 13-23 9-00 13-19 9-06 13-15 9-12 16 < 17 14-09 9-51 14-05 9.57 14-01 9-63 13-97 9-69 17 ( 18 14-92 10-07 14-88 10-13 14-83 10-20 14-79 10-26 18 19 15-75 10-62 15-71 10-69 15-66 10-76 15-GI 10-83 19 ( 20 16-53 11-18 16-53 11-26 16-48 11-33 16-43 11-40 20 ( 21 17-41 11-74 17-36 11-82 17-31 11-89 17-25 11-97 21 ( 22 18-24 12-30 18-18 12-38 18-13 12-46 18-08 12.54 22 ( 23 19-07 12-86 19-01 12-94 18-95 1303 18-90 1311 23 I 24 19-90 13-42 19-84 13-51 19-78 13-59 19-72 13-68 24 ( 25 20-73 13-98 20-66 14-07 20-60 1416 20-54 14-25 25 26 21-55 14-54 21-49 14-63 21-43 14-73 21-36 14-82 26 ( 27 22-38 15-10 22-32 15-20 22-25 15-29 22-18 15.39 27 ( 28 23-21 15-66 2314 15-76 23-08 15-86 23-01 15-96 28 ( 29 24-04 16-22 23-97 16-32 23-90 16-44 23-83 16-53 29 ( 30 24-87 10-78 24-80 16-88 24-72 16-99 24-65 17-10 30 J 31 25-70 17-33 25-62 17-45 25-55 17-.56 25-47 17-67 31 32 26-53 17-89 26-45 18-01 26-.37 18-12 26-29 18-24 32 ( 33 27-36 18-45 27-28 18-.57 27-20 18-69 27-11 18-81 33 ( 34 28- 19 19-01 28-10 19-14 28-02 19-26 27-94 19-38 34 ( 35 29-02 19-57 28-93 19-70 28-84 19-82 28-76 19-95 35 ( 36 29-85 20-13 29-76 20-26 29-67 20-39 29-.58 20-52 36 37 30-67 20-69 30-58 20-82 30-49 20-96 30-4p 21-09 37 ( 38 31-50 21.25 31-41 21.39 31-.32 21-.52 31-22 21-66 38 ( 39 32-33 21.81 32-24 21-95 32-14 22-09 3204 22-23 39 ( 40 33-16 22.37 33-06 22-51 32-97 22-66 32-87 22-80 40 ( 41 33-99 22-93 33-89 23-07 33-79 23-22 33-69 23-37 41 \ 42 34-82 23-49 34-72 23-64 34-61 23-79 34-51 23-94 42 ( 43 35-85 24-05 35-54 24-20 35-44 24-36 35-33 24-51 43 ( 44 36-48 24-60 36-37 24-76 36-26 24-92 36-15 25-08 44 / 45 37-31 2.5-16 37-20 25-33 37-09 25-49 36-97 25-65 45 I 46 38-14 25-72 38-02 25-89 37-91 26-05 37-80 26-22 46 ( 47 38-96 26-28 38-85 26-45 38-73 26-62 38-62 26-79 47 { 48 39-79 26-84 39-68 27-01 39-56 27-19 39-44 27-36 48 40 40-62 27-40 40-.50 27-58 40-38 27-75 40-26 27-93 49 50 41-45 27-96 41-33 28-14 41-21 28-32 41-08 28-50 50 i Dep. Lat. Dep. Lat Dep. Lat. Dep. Lat. 1 1 56 Deg. 55| Deg. 55J Deg. 55i Deg. TRAVERSE TABLE, 141 ) o 34 Dec. 34^ Deg. 34^ Deg. 34.^ Deg. )p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. - { 51 42-28 28-52 42-16 28-70 42-03 28-89 41-90 29-07 51 i ) 52 4311 29-08 42-98 29-27 42-85 29-45 42-73 29-64 52 ) ) 53 43-94 29-64 43-81 29-83 43-08 30-02 43-.55 30-21 53 ( 54 44-77 30-20 44-64 30-39 44-50 30-59 44-37 30-78 54 ) 55 45-60 30-76 45-46 30-95 45-33 31-15 45-19 31-35 55 ) ) 58 46-43 31-31 46 29 31-52 46-15 31-72 46-01 31-92 56 ') ) 57 47-26 31-87 47-12 32-08 46-98 32-29 40-83 32-49 57 ) 58 48-08 32-43 47-94 32-64 47-80 32-85 47-66 33-06 58 ) 59 48-91 3?-99 48-77 33-21 48-62 33-42 48-48 33-63 59 ) 60 49-74 33-55 49-60 33-77 49-45 33-98 49-30 34-20 (50 61 50-57 34-11 50-42 34-33 50-27 34-55 50-12 34-77 61 62 51-40 34-67 51-25 34-89 5110 35-12 50-94 35-34 62 63 52-23 35-23 52-08 35-46 51-92 35-68 51-76 35-91 63 64 53-06 35-79 52-90 36-02 52-74 36-25 52-59 36-48 04 ) 65 53-89 36-35 53-73 36-58 53-57 36-82 53-41 37-05 65 ) 66 54-72 36-91 54-55 37-15 54-39 37-38 54-23 37-62 66 ) 67 55-55 37-46 55-38 37-71 55-22 37-95 55-05 38-19 67 ) 68 56-37 38-03 56-21 38-27 56-04 38-52 55-87 33-76 68 69 57-20 38-58 57-03 38-83 56-86 39-08 56-69 39-33 69 ( 70 58-03 39-14 57-86 39-40 57-69 3965 57-52 39-90 70 5 71 58-86 39-70 58-69 39.96 58-51 40-21 58-34 40-47 71 ) 72 59-69 40-26 59-51 40-52 59-34 40-78 59-16 41-04 72 ) 73 60-52 40-82 60-34 41-08 60-16 41-35 59-98 41-61 73 ) "^4 61-35 41-38 61-17 41-65 60-99 41-91 60-80 42-18 74 ) "75 62-18 41-94 61-99 42-21 61-81 42-48 61-62 42-75 75 ( ) 76 63-01 42-50 62-82 42-77 62-63 43-05 62-45 43-32 76 ( ) 77 63-84 43-06 63-65 43-34 63-46 43-61 ■ 63-27 43-89 77 ( ) 78 64-66 43-62 64-47 43-90 64-28 44-18 64-09 44-46 78 ) 79 65-49 4418 65-30 44-46 6.5-11 44-75 64-91 45-03 70 / ; 80 ) 81 ) 82 83 84 85 66-32 44-74 66-13 45-02 65-93 45-31 65-73 45-60 80 67-15 45-29 68-95 45-59 66-75 45-88 66-55 4617 81 67-98 45-85 67-78 46-15 67-.58 46-45 67-37 40-74 82 / 68-81 46-41 68-61 46-71 68-40 47-01 68-20 47-31 83 69-64 46-97 69-43 47-28 69-23 47-.58 6902 47-88 84 70-47 47-53 70-26 47-84 70-05 48-14 69-84 48-45 85 ) 86 71-30 48-09 71-09 . 48-40 70-87 48-71 70-66 49-02 86 ) 87 72-13 48-65 71-91 48-96 71-70 49-28 71-48 49-59 87 ) 88 72-98 49-21 72-74 49-53 72-52 49-84 72-30 50-16 88 / ) 89 73-78 49-77 73-57 50-09 73-35 50-41 73-13 50-73 89 S,90 74-61 50-33 74-39 50-65 74-17 50-98 73-95 51-30 90 ) ) 91 75-44 50-89 75-22 51-22 75-00 51-54 74-77 51-87 91 } { 92 78-27 51-45 7605 51-78 75-82 5-211 75-59 52-44 92 ) ( 93 77-10 52-00 76-87 52-34 76-64 52-68 76-41 5301 93 ) ( 94 77-93 52-58 77-70 52-90 77-47 53-24 77-23 53-58 94 ) ( 95 78-76 53-] 2 78-53 53-47 78-29 53-81 78-06 54-15 95 ) ( 96 79-59 53-68 79-35 54-03 79-12 54-37 78-88 51-72 96 < 97 80-42 54-24 80-18 54-59 79-94 54-94 79-70 55 29 97 ( 98 81-25 54-80 81-01 55-15 80-76 55-51 80-.52 55-86 98 < 99 82-07 55-36 81-83 55-72 81-59 50-07 81-34 56-43 99 J 100 82-90 55-92 82-66 50-28 82-41 56-64 8216 57-00 100 ) i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 56 Deg. 553- Deg. 55i Deg. 55i Deg. 1] 142 TRAVERSE TABLE. 35 Deg. I 24 ( 25 ( ?() ( 2!) ( 30 Dep. 0-82 1-64 2-46 3-28 4-10 4-91 5-73 6-55 7-37 8-19 9-01 9-83 10-65 11-47 12-29 1311 13-93 14-74 15-56 16-38 17-20 18-02 18-84 19-66 20-48 21-30 2-2-12 22-94 23-7(5 24-57 25-39 26-21 2703 27-85 28-67 29-49 30-31 31-13 31-95 3277 33-59 34-40 35-22 3604 36-86 37-68 38-50 39-32 40-14 4096 Dep. 0-57 1.15 1-72 2-29 2-87 3-44 4-01 4-59 516 5-74 6-31 6-88 7-46 8-03 8-60 9-18 9-75 10-32 10-90 11-47 12-05 12-62 13-19 13-77 14-34 14-91 15-49 16-06 16-63 17-21 17-78 18-35 18-93 19-50 20-08 20-65 21-22 21-80 22-37 22-94 23-.)2 24-09 24-66 25-24 2.5-81 26-38 26-96 27-53 28-11 28-68 35^: Deg. Dep. 0-82 1-63 2-45 3-27 4-08 4-90 5-72 6-53 7-35 8-17 8-98 9-80 10-62 11-43 12-25 13-07 13-88 14-70 15-52 16-33 1715 17-97 18-78 19-60 20-42 21-23 22-05 23-68 24-50 25-32 26-13 26-95 27-77 2.8-.58 29-40 30-22 31-03 31-85 32-67 33-48 34-30 35-12 35-93 36-75 37-57 38-38 0-58 115 1-73 2-31 2-89 3-46 404 4-62 5-19 5.77 635 6-93 7-50 8-08 8.66 9-23 9-81 10.39 10.97 11-54 12.12 12.70 13-27 13-85 14-43 1.5-01 15-58 16-10 16-74 17-31 17-89 18-47 1905 19-(i2 20-20 20-78 21-35 21-93 22-51 23-09 23-60 24-24 24-82 25-39 25-LI7 26-55 27-13 39-20 27-70 40-02 28-23 40-83 28-86 35.^ Deg. Dep. Dep. 541 Deg- 0-81 1-63 2-44 3-26 4-07 4-88 5-70 6-51 7-33 8-14 8-96 9-77 10-58 11-40 12-21 13-03 13-84 14-65 15-47 16-28 17-10 17-01 18-72 19-54 20-35 21-17 21-98 22-80 23-61 24-42 25-24 26-05 26-87 27-68 28-49 29-31 30-12 30-94 31-75 32-56 33-38 34-19 3.501 35-82 36-64 37-45 38-26 39-08 39-89 40-71 0-58 M6 1-74 2-32 2-90 3-48 4-06 4-65 5-23 5-81 6-97 7-55 8-13 8-71 9-29 9-87 10-45 11-03 11-61 12-19 12-78 13-36 13-94 14 52 1.510 15-08 16-26 16-84 17-42 18-00 18-.58 19-16 19-74 20-32 20-91 21-49 22-07 22-65 23-23 2.3-81 24-39 24-97 25-.55 26-13 26-71 27-29 27-»7 2-- 15 29-04 Lat. Dep. 0-81 0-58 1-62 117 2-43 1-75 3-25 2-34 4-06 2-92 Dep. 54i Deo. 4-87 5-68 6-49 7-30 8-12 8-93 9-74 10-55 11-36 12-17 12-99 13-80 14-61 15-42 16-23 17-04 17-a5 18-67 19-48 20-29 21-10 21-91 22-72 23-54 24-35 25-16 25-97 26-78 27-59 28-41 29-22 30-03 30-84 31-65 32-46 33-27 34-09 34-90 35-71 3(5-52 37-33 3814 38-96 39-77 40-58 Dep. 3-51 4-09 4-67 5-26 5-84 6-43 7-01 7-60 8-18 8-76 9-35 9-93 10-52 11-10 11-68 12-27 12-85 13-44 14-02 14-61 1.5-19 1.5-77 16-36 16-94 17-53 18-11 18-70 19-28 19-86 20-45 21-03 21-62 22-20 22-79 23-37 23-95 24-.54 2512 2.5-71 2(5-29 2(i-88 27-46 28-04 28-63 29-21 54.J Deg. TR A VERSE TABLE, 143 144 TRAVERSE TABLE. 36 Dkg. 36i Deo. 36.^ Deg. 36i Deg. Lat. Dep. Lai. Dep. Lat. Dep. Lat. Dep. ( 1 0-81 0-59 0-81 0-59 0-80 0-.i9 080 000 1 ( 2 1-62 1-18 1-61 118 1-61 1-19 1-60 1-20 2 3 2-43 1-76 2-42 1-77 2-41 1-78 2-40 1-79 3 ) ( 4 3-24 2-35 3-'23 2-37 3-22 2-.'J8 ! 3-20 2-39 4 / 5 405 2-94 4-03 2-96 4-02 2-97 4-Ul 2-99 5 ( 6 4-85 3.53 4-84 3-55 4-82 3-57 4-81 3-59 6 ( 7 5-66 4-11 5-65 4-14 5-63 4-16 561 4-19 7 ^ 8 6-47 4-70 6-45 4-73 6-43 4-76 6-41 4-79 8 ( 9 7-23 5-29 7-26 5-32 7-23 5-35 7-21 5-38 9 5 10 8-09 5-88 8-06 5-91 8-04 5-95 8-01 5-98 10 11 8-90 0-47 8-87 6-50 8-84 6-54 8-81 6-58 11 12 13 14 12 9-71 7-05 9-68 7-10 9-65 7-14 9-61 7-18 13 10-52 7-64 1048 7-69 10-45 7-73 10-42 7-78 14 11-33 8-23 11-29 8-28 11-25 8-33 11-22 8-38 ( 15 1214 8-82 1210 8-87 12-06 8-92 12-02 8-97 15 ( 16 12-94 9-40 12-90 9-46 12-86 9-52 12-82 9-57 10 ( ( 17 13-75 9-99 13-71 1005 13-67 10-11 13-62 10-17 17 ( ( 18 14-56 10-58 14-52 10-64 14-47 10-71 14-42 10-77 18 ( ( 19 15-37 11-17 15-32 11-23 15-27 11-30 15-J2 • 11-37 19 20J ( -20 16-18 11-76 16-13 11-83 16-08 11-90 10-03 11-97 ( 21 16-99 12-34 16-94 12-42 16-88 12-49 16-83 12-56 21 i 22 I 22 17-80 12-93 17-74 13-01 17-68 13-09 17-63 1310 I 23 18-61 13-52 18-55 13-60 18-49 13-68 18-43 13-76 23 ( i ^"* 19-42 14-11 19-35 14-19 19-29 14-28 19-23 14-36 24 ( ( 25 2v)-23 14-69 20-16 14-78 2010 14-87 20-03 14-96 25 < 2(3 21-03 15-28 20-07 15-37 20-90 15-47 20-83 15-56 20 I ( 27 21-84 15-87 21-77 15-97 21-70 1606 21-63 1615 27 ( ( 2b 22-65 16-46 22-58 16-56 2-251 16-65 2-2-44 16-75 28 ( ( 29 23-46 1705 23-39 17-15 23-31 17-25 23-24 17-35 29 ( ( 30 24-27 17-63 24-19 17-74 24-12 17-84 2404 17-95 30 ( 3.| i31 25-08 18-22 25-00 18-33 24-92 18-44 24-84 18-55 < ¥ 25-89 18-81 25-81 18-02 25-72 19-03 25-64 19-15 32 ( 33 26-70 19-40 26-61 19-51 26-53 19-63 26-44 19-74 33 ? (^ 34 27-51 19-98 27-42 20-10 27-33 2«)-22 27-24 20-34 34 / 35 28-32 20-57 28-23 20-70 28-13 20-82 28-04 20-94 35 ? ( 3G 29-12 2116 2903 21-29 28-94 21-41 28-85 21-54 36 / ^ 37 I 38 29-93 21-75 29-84 21-88 29-74 2201 29-65 22-14 37 ) 30-74 22-34 30-64 22-47 30-55 22-60 30-45 22-74 38 39 / 40 i 41 31-55 22-92 31-45 23-06 31-35 23-20 31-25 23-33 39 32-36 23-51 32-26 23-65 32-15 23-79 32-05 23-93 40 33-17 24-10 33-06 24-24 32-96 24-39 32 85 24-53 41 ; ( 42 33-98 24-69 33-t^7 24-83 33-76 24-98 33-65 25-13 42 \ 43 34-79 25-27 34-68 25-43 34-57 25-58 .34-45 25-73 43 ( 44 3.')-60 25-86 35-48 26-02 35-37 2617 35-26 26-33 44 , 45 40 ( 45 36-41 26-45 3629 2G-61 3617 26-77 36-06 26-92 ( 46 37-21 27-04 37-10 27-20 36-98 27-36 36-86 27-52 < 47 36-02 27-63 37-90 27-79 37-78 27-96 37-66 28-12 47 ) 48 > 48 38-83 28-21 38-71 28-38 38-59 28-55 38-46 28-72 ( 49 39-64 28-80 39-52 28-97 39-39 29-15 39-20 29-32 49 } ( 50 40-45 29-39 40-32 29-57 40-19 29-74 40-00 29-92 50 ) } 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. ij 54 Deg. 535 Deg. 53i Deg. 53i Deo. TRAVERSE TABLE. 145 1 36 Deg. 36i Deg. 36i Deg. 36|- Dkg. .i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep, ) 51 41-26 29-98 4113 30-16 41-00 30-34 40 86 30-51 51 / 52 I ) 52 4207 3056 41-U4 30-75 41-80 30-93 41.67 31-11 ) 53 42-88 3115 42-74 31-34 42-60 31-53 4247 31-71 53 / ) 54 43-69 31-74 43-55 31-93 43-41 3212 4327 32-31 54 / ) 55 44-50 32-33 44-35 3252 44-21 32 72 4407 32-91 55 / ) 56 45-30 32-92 45-16 33-11 45-02 33-31 44.87 33-51 56 ( ) 57 4611 33-50 45-97 33-70 45-82 33-90 45-67 34 10 57 / ) 58 46-92 34-09 46-77 34-30 46-62 34-50 46-47 .34-70 .58 / ) 59 47-73 34-68 47-58 .34-89 47-43 3509 47.27 35-30 59 ) S 60 48-54 35-27 48-39 35-48 48-23 35-69 48.08 35-90 60 ^ ) 61 49-35 35-85 49-19 36-07 49-04 36-28 48-88 30-50 61 ) 62 50-16 36-44 50-00 36-66 49-84 36-88 49-08 37-10 62 ) ) 63 50-97 37-03 50-81 37-25 5064 37-47 50-48 37-69 63 ) 64 51-78 37-62 51-61 37-84 51-45 38-07 51-28 38-29 64 / ) 65 52-59 38-21 52-42 38-44 52-25 38-66 52-08 38-89 65 / ) .66 53-40 38-79 53-23 3903 53-05 39-26 52-88 39-49 66 ) 67 54-20 39-38 54-03 39-62 53-86 39-85 53-68 40-09 67 > 68 5501 39-97 54-84 40-21 54-66 40-45 54-49 40-69 68 ) 69 55-82 40-56 55-64 40-80 5.5-47 41-04 55-29 41-28 69 ) 70 56-63 4114 56-45 41-39 56-27 41-64 50-09 41-88 70 ) 71 57-44 41-73 57-26 41-98 .57-07 42-23 56-89 42-48 71 72 58-25 42-32 58-06 42.57 57-88 42-83 57-09 43-08 72 73 73 59-06 42-91 .58-87 43-17 58-68 43-42 58-49 43-68 74 59-87 43-50 59-68 43-76 59-49 44-02 59-29 44-28 74 ; 75 60-68 44-08 60-48 44-35 60-29 44-61 60-09 44-87 75 76 77 78 76 6J-49 44-67 61-29 44-94 61-09 45-21 60-90 45-47 77 62-29 45-26 62-10 45-53 61-90 45-80 ■61-70 46-07 ) 78 6310 45-85 62-90 46-12 62-70 46-40 62-50 40-67 ) 79 63-91 46-43 63-71 46-71 63.50 46-99 63-30 47-27 79 ) 80 64-72 47-02 64-52 47-30 6431 47-59 64-10 47-87 80 i 5 81 65-53 47-61 65-32 47-90 65-11 48-18 64^90 48-46 81 } 82 ) 82 66-34 48-20 66-13 48-49 65-92 48-78 65-70 49-06 ) 83 67-15 48-79 66-93 49-08 66-72 49-37 66-50 49-66 83 84 67 96 49-37 67-74 49-67 67-52 49-97 67-31 50-26 84 ) ) 85 68-77 49-96 68-55 50-2<) 68-33 50-56 68-11 50-86 85 > ) 86 69-58 50-55 69-35 50-85 69-13 51-15 68-91 51-46 86 ) 87 70-38 51-14 70-16 51-44 69-94 51-75 69-71 52-05 87 ) 88 71-19 51-73 70-97 52-04 70-74 5234 70-51 52-65 88 ) 89 72-00 52-31 71-77 52-63 71.54 52-94 71-31 53-25 89 ) ) 90 72-81 52-90 72-58 53-22 72-35 53-53 72-11 53-85 90 J ) 91 73-62 53-49 73-39 53-81 73-15 54-13 72-91 54-45 91 ! ) 92 74-43 .54-08 74-19 54-40 73-95 54-72 73-72 55 05 92 ) 93 75-24 54-66 7500 .54-99 74-76 55-32 74-.52 .55 64 93 ) ) 94 76-05 55-25 75-81 55-58 75.56 55-91 75-32 56 24 94 ', ) 95 76-86 55-84 76-61 56-17 76-37 56-51 76-12 .56 84 95 ) 96 77-67 56-43 77-42 56-77 77-17 57-10 76-92 57-44 96 97 78-47 57-02 78-23 57-36 77-97 57-70 77-72 58-04 97 ) ) 98 79-28 57-60 79-03 57-95 78-78 58-29 78-.52 58-64 98 ) 99 80-09 58-19 79-84 58.54 79-.58 58-89 79-32 .59-23 99 ) )100 80-90 58-78 80-64 59-13 80-39 59-48 80-13 59-83 100 j i a Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. m } 54 Deg. 53f Deg. 53i Deg. 531 Deg. 13 146 TRAVERSE TABLE, .'—-■^^ •^^-^-^-^-^-^^ -^^--^-^-^-^~^' '^'~— ~---~^-~ -^'^-''^'■^^~ --'^^^-^"^-^^ ^-^-.~^^v,^v. '^,~^^_^^ ••'V.^^— , 37 Deg. 37i Deg. 37^ Deg. 37^ Dec. I' ] ' = Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0-80 0-60 0-80 0-01 0-79 0-61 0-79 0-01 1 ) 2 1-eo 1-20 1-59 1-21 1-59 1-22 1-58 1-22 2 ( 3 2-40 1-81 2-39 1-82 2-38 1-83 2-37 1-84 3 / 4 319 2-41 3-18 2-42 3-17 2-43 3-16 2-45 4 ( 5 3-99 301 3-98 3-03 3-97 304 3-95 3-06 5 ( 6 4-79 3-61 4-78 303 4-76 3-65 4-74 3 67 6 ( 7 5-59 4-21 5-.^7 4-24 5-55 4-26 5-53 4-29 7 ) 8 6-39 4-81 G-:;7 4-84 6-35 4-87 6-33 4-90 8 ' \> 7- J 9 5-42 7-16 5-45 7-14 5-48 7-12 5-51 9 10 7-99 002 7-96 6-05 7-93 6-09 7-91 6-12 10 11 8-78 6-02 8-76 6-00 8-73 6-70 8-70 6-73 11 ( 12 9-58 7-22 9-55 7-20 9-52 7-31 9-49 7-35 12 ) la 10-38 7-82 10-35 7-87 10-31 7-91 10-28 7-96 13 ) 14 11-18 8-43 1114 8-47 11-11 8-52 11-07 8-57 14 / 15 11-98 903 11-94 9-08 11-90 9-13 11-86 9-18 15 ) IG 12-78 9-03 1274 9-08 12-09 9-74 12-05 9-80 16 ) 17 13-58 10-23 13-53 10-29 13-49 10-35 1.3-44 10-41 17 ) • 18 14-38 10-83 14-33 10-90 14-28 10-96 14-23 11-02 18 IS) 15-17 11-43 1512 11 -.50 15-07 11-57 1.5-02 11-03 19 20 15-97 1204 15-92 12-11 15-87 12-18 15-81 12-24 20 ) 16-77 1204 16-72 12-71 10-66 12-78 16-60 12-86 21 I 17-57 1324 17-51 13-32 17-45 13-39 17-40 13-47 22 / 18-37 13-84 18-31 1392 18-25 14-00 1819 14-08 23 J 19-17 14-44 1910 14-53 19-04 14-01 18-98 14-69 24 I > 25 19-97 1505 19-90 1.5-13 19-83 15-22 19-77 1.5-31 25 ) 26 20-76 15-05 20-70 1574 20-03 15-83 2C-56 15-92 26 27 21-56 16-25 21-49 10-34 21-42 10-44 21-35 16-53 27 - 28 22-36 10-85 22-29 10-95 22-21 17-05 22-14 17-14 28 ) / 2i» 23-16 17-45 23-08 17-55 23-01 17-05 22-93 17-75 29 ; 30 J 3. 23-96 18-05 23-88 18-10 23-80 18-20 23-72 18-37 30 24-76 18-66 24-68 18-76 24-59 18-87 24-51 18-98 31 / 32 25-56 19-20 25-47 19-.37 25-39 19-48 25-30 19-59 32 ) ) 33 26-35 19-86 26-27 19-97 20-18 2009 20-09 20-20 33 34 35 ) 34 27-15 20-46 27-06 20-58 2097 20-70 26-88 20-82 35 27-95 2100 27-86 21-19 27-77 21-31 27-67 21-43 ; 36 28-75 2107 28-00 21-79 28-50 21-92 28-46 2204 36 I / 37 29-55 2227 29-45 22-40 29-35 22-52 29-20 22-05 37 I 38 30-35 22-87 30-25 23-00 3015 23-13 30-05 23-26 38 ) 39 31-15 23-47 31-04 23-01 30-94 23-74 30-84 23-88 39 ) ) 40 41 31-95 24-07 31-84 24-21 31-73 24-35 31-63 24-49 40 ) 32-74 24-67 32-04 24-82 32.53 24-96 32-42 2.5-10 41 } ; 42 33-54 25-28 33-43 25-42 33-32 25-57 33-21 25-71 42 ; 43 34-34 25-88 34-23 20-03 34-11 26-18 34 00 20-33 43 44 3514 26-48 3502 2o-03 34-91 20-79 34-79 20-94 44 / 9. 35 94 27-08 35-82 27-24 35-70 27-39 35-.58 27-.55 45 ) 46 / 46 S6-74 27-68 3002 27-84 30-49 28-00 30.37 28-10 ; 47 37-54 28-29 37 41 28-45 37-29 28-01 37-16 28-77 47 / 48 38-33 28-89 38-21 2905 38-08 29-22 37-95 29-39 48 49 39-13 29-49 39-00 29-66 38-87 29-83 38-74 1 30-00 49 J 50 39-93 30-09 39-80 30-26 39-67 30-44 39-53 1 1 30-61 50 j ll Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 Lat. 53 D EG. 52| I )eg. 52J I )EG. 52} E )EO. TRAVERSE TABLE. 147 ( 1 37 Deg. 1 1 37i Deg. 37:V Deg. 37J Deg. ( 1 ) -1 1 Dep. Lat. Dep. 1 Lat. 1 i Dep. Lat. Dep. ' 51 40-73 30-69 4 ) 63 30-87 40 46 3105 40 33 31-22 51 ( / 52 ) 53 ; 54 41-53 31-29 41-39 31-48 41-25 31-66 41-12 31-84 52 ( 4-j-:;3 31-90 4-2-19 32-08 4205 32-26 41-91 3-2-45 53 ( 4313 3:2-50 42-98 32-69 42-84 32-87 42-70 33-06 54 ' 55 43-^2 33-10 43-78 33-29 43-63 33-48 43-49 33-67 " 55 n? 44-72 3370 44-58 33-90 44-43 34-09 44-23 34-28 56 4o-52 34-30 45-37 34-50 45-22 34-70 45-07 34-90 57 / 58 / 59 46-32 34-91 46-17 3.5-11 4601 35-31 45-86 35-51 58 47-12 35-51 46-96 35-71 46-81 35-92 46-65 36-12 59 ) 60 47-92 3611 47-76 36-32 47-60 36-53 47-44 36-73 60 / 61 48-72 36-71 48-56 36-92 48-39 37-13 48-23 37-35 61 S ) 62 49-52 37-31 49-35 37-53 49-19 37-74 49-02 37-96 62 S ) 63 64 65 66 50-31 37-91 50-15 3813 49-98 38-35 49-81 38-57 63 S 51-11 38-52 50-94 38-74 50-77 38-98 50-60 39-18 64 S 51-91 3U-12 51-74 39-34 51 .57 39-57 51-39 39-79 65 S 52-71 39-72 52-54 39-95 52-36 40-J8 52-19 40-41 66 ) 67 53-51 40-32 53-33 40-55 53-15 40-79 52-98 41-02 67 S i 68 54-31 40-92 5413 41-16 53-95 41-40 53-77 41-63 68 S 69 55-11 41-53 54-92 41-77 54-74 42-00 54-56 42-24 69 ) 70 55-90 42-13 55-72 42-37 55-53 42-61 55-35 42-86 70 J / 71 56-70 42-73 56-.52 42-98 56-33 43-22 56-14 43-47 71 j ) 72 57-50 43-33 57-31 43-58 57-12 43-83 56-93 44-08 72 ) 73 ' 58-30 43-93 58-11 44-19 57-91 44-44 57-72 44-69 73 ) 74 59-10 44-53 58-90 44-79 .58-71 45-05 .58-51 45-30 74 59-90 45-14 59-70 45-40 59-50 45-66 59-30 45-92 75 ) 76 60-70 45-74 60-50 46-00 60-29 46-27 60-09 46-53 76 77 61-49 46-34 61-29 46-61 61-09 46-87 ■60-88 47-14 77 78 62-29 46-94 6209 47-21 61-88 47-48 61-67 47-75 78 ^ 79 63-09 47-54 62-88 47-82 62-67 48-09 62-46 48-37 79 J 80 63-89 48-15 63-68 48-42 63-47 48-70 63-26 48-98 80 j ' 81 64-69 48-75 64-48 49-03 64-26 49-31 64-05 49-59 81 ) 82 65 49 49-35 65-27 49-63 6505 49-92 64-84 50-20 82 ) 83 66-29 49-95 66-07 50-24 65-85 50-53 65-63 50-81 83 ) 84 67-09 50-55 66-86 50-84 66-64 51-14 66-42 51-43 84 ) 85 67 88 51-15 67-66 51-45 67-43 51-74 67-21 52-04 85 ) 86 68-68 51-76 68-46 52-06 68-23 5-2-35 68-00 52-65 86 ) ( 87 69-48 52-36 69--25 52-66 69-02 5-2-90 68-79 53-26 87 ) 88 70-28 52-96 70-05 .53-27 69-82 53-.57 69-58 53-88 88 ) 89 71-08 53-56 70-84 53-87 70-61 54-18 70-37 54-49 89 ) ; 90 71-88 5416 71-64 54-48 71-40 54-79 71-16 55-10 90 ) I 91 72-68 54-77 72-44 55-08 72-20 55-40 71-95 55-71 91 ) 92 73-47 55-37 73"23 55-69 72-99 56-01 72-74 56-32 92 ) ( 93 74-27 55-97 74-03 56-29 73-78 56-61 73-53 56-94 93 ) ( 94 75-07 50-57 74-82 5!r90 74-58 57-22 74-32 57-55 94 ) ( 95 75-87 57-17 75-62 .57-50 75-37 57-83 75-12 58-16 95 ) ( 96 76-67 57-77 76-42 58-11 76-16 58-44 75-91 58-77 96 97 77-47 58-38 77-21 58-71 76-96 59-05 76-70 59-39 97 ) 98 78-27 58-98 78-01 59-32 77-75 59-66 77-49 60-00 98 ) 99 (103 79-06 59-58 78-80 59-92 78-54 60-27 78-28 60-61 99 ) 79-86 60-18 79-60 60-53 79-34 60-88 79-07 61-22 100 I ( |l Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1} 53 Deg. 52} Deg. 52i Deo. 52^ Deg. 148 TRAVERSE TABLE. 2 • 1 38 Deg. 38\ Deg. 33^ Deg. 381 Deg. O Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0-79 0-62 79 0-02 0-78 0-62 0-78 0-63 1 o 1-58 1-23 1-57 1-24 1-57 1-24 1£6 1-25 o 3 2-36 1-85 2-36 1-86 2-35 1-87 2-34 1-88 3 4 3-15 2-46 314 2-48 3-13 2-49 3-12 2-50 4 5 3-94 308 3-93 310 3-91 311 3-90 313 5 6 4-73 3-69 4-71 3-71 4-70 3-74 4-68 3-76 6 7 552 4-31 5-50 4-33 5-48 4-36 5-46 4-38 7 8 6-30 4-93 6-28 4-95 6-26 4-98 6-24 501 g 9 7-09 5-54 7-07 5-57 7-04 5-60 7-02 5-63 9 10 7-88 6-16 7-85 6-19 7-83 6-23 7-80 6-26 10 11 8-67 6-77 8-64 6-81 8-61 6-85 8-58 6-89 11 12 9-46 7-39 9-42 7-43 9-39 7-47 9-36 7-51 12 13 10-24 8-00 10-21 805 10-17 8-09 1014 8-14 13 14 1103 8-02 10-99 8-67 10-96 8-72 10-92 8-76 14 15 11-82 9-23 11-78 9-29 11-74 9-34 11-70 9-39 15 16 12-61 9-85 12;57 "9-91 12-52 9-96 12-48 10-01 16 17 13-40 10-47 13-35 10-52 13-30 10-58 13-26 10-64 17 18 14-18 1108 1414 11-14 14-09 11-21 14-04 11-27 18 19 14-97 11-70 14-92 11-76 14-67 11-83 14-82 11-89 19 20 15-76 12-31 15-71 12-38 15-65 12-45 15-60 12-52 20 21 16-55 12-93 16-49 1300 16-43 1307 16-.38 13-14 21 22 17-34 13-54 17-28 13-62 17-22 13-70 17-16 1.3-77 22 23 18-12 14-16 18-06 14-24 18-00 14-32 17-94 14-40 23 24 18-91 14-78 18-85 14-86 18-78 14-94 18-72 15-02 24 25 19-70 15-39 19-63 15-48 19-57 15-56 19-.^>0 15-65 25 2f) 20-49 16-01 20-42 16-10 20-35 1619 20-28 16-27 26 27 21-28 16-62 21-20 16-72 2113 16-81 2106 16-90 27 28 22-06 17-24 21-99 17-33 21-91 17-43 21-84 17-53 28 29 22-85 17-85 22-77 17-95 22-70 18-05 22-62 18-15 29 30 23-64 18-47 23-56 18-57 23-48 18-68 23-40 18-78 30 31 24-43 19-09 24-34 19-19 24-26 19-30 24-18 19-40 31 32 25-22 19-70 2.5-13 19-81 25-04 19-92 24-96 20-03 32 33 2600 20-32 25-92 20-43 25-83 20-54 25-74 20-66 33 34 26-79 20-93 26-70 21-05 26-61 2117 26-52 21-28 34 35 27-58 2J-55 27-49 21-67 27-39 21-79 27-30 21-91 35 36 28-37 22-16 28-27 22-29 28-17 22-41 28-08 22-53 36 37 29-16 22-78 2906 22-91 28-96 2303 28-86 23-16 .37 38 29-94 23-40 29-84 23-53 29-74 23-66 29-64 23-79 38 39 30-73 24-01 30 63 2414 30-.52 24-28 30-42 24-41 39 40 31-52 24-63 31-41 24-76 31-30 24-90 31-20 25-04 40 41 32-31 25-24 32-20 25-38 32-09 25-52 31-98 25-66 41 42 33-10 25-86 .32-98 26-00 32-87 26-15 32-76 26-29 42 43 33-88 26-47 33-77 26-62 33-65 26-77 33-53 26-91 43 44 34-67 27-09 34-.55 27-24 34-43 27-39 3431 27-54 44 45 3546 27-70 35-34 27-86 35-22 28-01 3509 28-17 45 46 36-25 28-32 3612 28-48 36-00 28-64 35-87 28-79 46 47 3704 28-94 36-91 29-10 36-78 29-26 36-65 29-42 47 48 37-82 29-55 37-70 29-72 37-57 29-88 37-43 30-04 48 49 38-61 30-17 38-48 30-34 38-35 30-50 38-21 30-67 49 50 39-40 30-78 39-27 30-95 39-13 31-13 38-99 31-30 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 52 D EQ. SIJI )EO. 5ii r >EO. 51^1 )EG. 1 ( TRAVERSE TABLE. 149 F ) ■ 38 Deg. 38i Deg. 38i Deg. 38J Deg. 1' ( Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ) 51 40-19 31-40 40-05 31-57 39-91 31-75 39.77 31-92 51 I 52 40-98 32-01 40-84 32-19 40-70 3237 40.55 3255 52 ( 53 41-76 32-63 41-62 32-81 41-48 32-99 41-33 3.3-17 53 ( 54 42-55 33-2.> 42-41 33-43 42-26 3362 42-11 33-80 54 ( ) 55 43-34 33-86 43-19 3405 43-04 34-24 42-89 34-43 55 ) 56 44-13 34-48 43-98 34-67 43-83 34-86 43-67 35-05 56 ) 57 44-92 35-09 44-76 35-29 44-61 35-48 44 45 35 08 57 ) 58 45-70 35-71 45-55 35-91 45-39 36-11 45-23 36-30 58 ( ) 59 46-49 36-32 46-33 36-53 46-17 36-73 4601 36-93 59 ( j 60 47-28 36-94 47-12 37-15 46-96 37-35 46-79 37-56 60 ( ) 61 48-07 37-56 47-90 37-76 47-74 37-97 47-57 38-18 61 ( 62 48-86 38-17 48-69 38-38 48-52 38-60 48-35 38-81 62 ( 63 49-64 38-79 49-47 39-00 49-30 39-22 49-13 39-43 63 64 50-43 39-40 50-26 39-62 50-09 39-84 49-91 40-06 64 65 51-22 40-02 51-05 40-24 50-87 40-46 50-69 40-68 65 66 52-01 40-63 51-83 40-86 51-65 41-09 51-47 41-31 66 67 5-2-80 41-25 52-62 41-48 52-43 41-71 52-25 41-94 67 68 53-58 41-86 53-40 42-10 .53-22 42-33 53-03 42.56 68 69 54-37 42-48 54-19 42-72 54-00 42-95 53-81 43-19 69 70 55-16 43-10 54-97. 43-34 54-78 43-58 54-59 43-81 70 71 55-95 43-71 55-76 43-96 55-57 44-20 55-37 44-44 ^M 72 56-74 44-33 56-54 44-57 56-35 44-82 50-15 45-07 72 73 57-52 44-94 57-33 45-19 57-13 45 44 56-93 45-69 73 74 58-31 45-56 5811 45-81 57-91 46-^7 57-71 46-32 74 75 59-10 46-17 58-90 46-43 58-70 46-69 58-49 46-94 75 76 59-89 46-79 59-68 47-05 59-48 47-31 59-27 47-57 76 ) 77 60-68 47-41 60-47 . 47-67 60-26 47-93 ■ 60 05 48-20 77 / 78 61-40 43-02 61-25 48-29 61-04 48-.56 60-83 48-82 78 79 62-25 48-64 62-04 48-91 61-83 49-18 61-61 49-45 79 ) 80 63-04 49-25 62-83 49-53 6261 49-80 62-39 5^-07 80 j 81 63-83 49-87 63-61 50-15 63-39 50-42 63-17 50-70 ( 81 ) 82 64-62 50-48 64-40 50-77 64-17 51-05 63-95 51-33 82 ) 83 65-40 51-10 65-18 51-.38 64-96 51-67 64-73 51-95 83 > 84 6619 51-72 65-97 52-00 65-74 52-29 65-51 52-58 84 85 66-98 52-33 66-75 52-62 66-52 52-91 66-29 53-20 85 ) 86 67-77 52-95 67-54 53-24 67-30 53-54 67-07 53-83 86 ) 87 68-56 53-56 68-32 53-86 68-09 5416 67-85 54-46 87 ) 88 69-34 54-18 6911 54-48 68-87 54 78 68-63 55-08 88 ) 89 70-13 54-79 69-89 5510 69-65 55-40 69-41 55-71 89 ) 90 70-92 55-41 70-68 55-72 70-43 56-03 70-19 56-33 90 ) 91 71-71 56-03 71-46 56-34 71-22 56-65 70-97 56-95 91 J 92 72-50 56-64 72-25 56-96 72-00 57-27 7175 57-.58 92 ) 93 73-28 57-26 73-03 57-58 72-78 57-89 72-53 58-21 93 94 74-07 57-87 73-82 58-19 73.57 58-.52 73-31 58-84 94 95 74-86 58-49 74-61 58-81 74-35 59-14 74-09 59-46 95 96 75-65 5910 75-39 59-43 7.513 59-76 74-87 60-09 96 ) 97 75-44 5972 76-18 69-05 75-91 60-38 75-65 60-71 97 98 77-22 60-33 76-95 60-67 76-70 61-01 76-43 61-34 98 99 78-01 60-95 77-75 61-29 77-48 61-63 77-21 61-97 99 >109 78-80 61-57 78-53 61-91 78-26 62-25 77-99 62-59 100 ) / 1 ) .2 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i Q I 52 1 Deg. 51J Deg, 5U- Deg. 5U Deg. 150 TRAVERSE TABLE. 0-78 1-55 2-33 31] 3-89 4-68 5-44 6-22 6-1)9 7-77 8-55 9-33 10-10 10-88 11-66 12-43 13-21 13-99 14-77 15-54 16-32 17-10 17-87 18-65 19-43 20-21 20-98 21-76 22-54 23-31 24-09 24-87 25-65 26-42 27-20 27-98 28-75 29-53 30-31 31-09 31-86 32-64 33-42 3419 34-97 35-75 36-53 37-30 38-08 38-86 Dep. 0-63 1-26 1-89 2-52 3-15 3-78 4-41 503 5-66 6-29 6-92 7-55 8-18 8-81 9-44 10-07 10-70 11-33 11-96 12-59 13-22 13-84 14-47 15-10 15-73 16-36 16-99 17-62 18-25 18-88 19-51 20-14 20-77 21-40 22-03 22-66 23-23 23-91 24-54 25-17 25-80 26-43 27-06 27-69 28-32 28-95 29-58 30-21 30-84 31-47 39i Deg. 39J Deg. 39J Deg. I\ Lat. Dep. Lat. Dep. Lat. Dep. 1 ( ■ ( 0-77 0-03 0-77 0-64 0-77 0-64 1 , 1-55 1-27 1-54 1-27 1-54 1-28 2 2-32 1-90 2-31 1-91 2-31 1-92 3 3-10 2-.->3 309 2-54 3-08 2-56 4 ( 3-87 3-16 3-86 3-18 3-84 3-20 5 ] 5-42 3-80 4-63 3-82 4-61 3-84 6 4-43 5-40 4 45 5-38 4-48 7 6-20 5-06 6-17 5-09 6-15 5-12 8 6-97 5-69 6-94 5-72 6-92 5-75 9 7-74 6-33 7-72 6-36 7-69 6-39 10 1 8-52 6-96 849 7-00 8-46 7-03 11 9-29 7-59 9-26 7-63 9-23 7-67 12 10-07 8-23 10-03 8-27 9-99 8-31 13 10-84 8-86 10-80 8-91 10-76 8-95 14 11-62 9-49 11-.57 9-54 11-53 9-59 15 12-39 10-12 12-35 10-18 12-30 10-23 16 ^ 1316 10-76 1312 10-81 13-07 10-87 17 13-94 11-39 13-89 11-45 13-84 11-51 18 14-71 12-02 14-66 1209 14-61 12-15 19 15-49 12-65 15-43 12-72 15-38 12-79 20 16-26 13-29 16-20 13-36 1615 13-43 21 17-04 13-92 16-98 13-99 16-91 1407 22 17-81 14-.55 17-75 14-63 17-«>8 14-71 23 18-59 15-18 18-52 1.5-27 18-45 15-35 24 19-36 15-82 19-29 15-90 19-22 15-99 25 20-13 16-45 20-06 16-54 19-99 1663 26 20-91 17-08 20-83 1717 20-76 17-26 27 21 -tW 17-72 21-61 17-81 21-53 17-90 28 ( 22-46 18-35 22-38 18-45 22-30 18.54 29 ( 23-23 18-98 2315 19-08 23-07 19-18 30 24-01 19-61 23-92 19-72 23-83 19-82 31 ( 24-78 20-25 2-1-69 20-35 24-(J0 20-46 32 ( 25-55 20-88 25-46 20-99 25-37 21-10 33 ( 26-33 21-51 26-24 21-63 2614 21-74 34 ( 2710 22-14 27-01 22-26 26-91 22-38 35 ( 27-88 22-78 27-78 22-i)0 27-68 23-02 36 < 28-65 2.3-41 28-55 23-53 28-45 23-66 37 ( 29-43 24-04 29-.32 24-17 29-22 24-30 38 30-20 24-68 30-09 24-81 29-98 24-94 39 30-98 25-31 30-86 25-44 30-75 25-58 40 ( 31-75 25-94 31-64 26-08 31-52 26-22 41 i 32-52 26-57 32-41 26-72 32-29 26-86 42 ( 33-30 27-21 33-18 27-35 33-06 27-50 43 ( 34-07 27-84 3395 27-99 33-83 23-14 44 ( 34-85 28-47 34 72 28-62 34-60 5»-77 45 ( 35-62 29-10 3549 29-26 35.37 29-41 46 ( 3G-40 29-74 36-27 29-90 3614 30-05 47 ( 37-17 30-37 37-04 30-53 .36-90 30-09 48 ( 37-95 31-00 37-81 31-17 37-67 31-33 49 ( 38-72 31-64 38-58 31-80 38-44 31-97 50 < Dep. Lat Dep. Lat. Dep. Lat. , ( i '< 50^ Deg. 50^ Deg. 50i ] Deg. ^ TRAVERSE TABLE, 151 (^~~^"^' v.^-w'^'-^-" _^_^,../-v_^-~^ .-^^-w-x.^-^. r^-'-^-''^---^-^ ^^^^^^-^ ■-^^-'■^^'^-''^ -^~^^^-— V 39 Deg. 39i Deg. 29^ Deg. 39]^ Deg. O J 1 Lat. Dop. Lat. Dep. Lat. Dep. Lat. 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Lat. Dep. Lat. Dep. Lat. Dep. Lat. Ti 5 I 51 I :»EG. 50i Deg. 50i Deg. 50i Deg. 152 TRAVERSE TABLE. \l 40 Deg. m Deg. 40V Deg. 40i Deg. 5 \ p \ •" Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. } 0-77 0-64 0-76 0-65 0-76 0-65 076 0-65 1 ( 1-53 1-29 1-53 1-29 1-52 1-30 1-52 1-31 2 ( h 2-30 1-93 2-29 1-94 2-28 1-95 2-27 1-96 3 ? 3-00 2-57 305 2-58 304 2-60 303 2-61 4 ( ( 5 3-83 3-21 3-82 3-23 3-80 3-25 3-79 3-26 5 ( 6 4-()0 3-86 4-58 3-88 4-56 3-90 4 55 3-92 6 } 5-3 ( IJ 14o5 12-21 14-50 12-28 14-45 12-34 14-39 12-40 19 ) 20 15-32 12-86 15-26 12-92 15-21 12-99 1515 13-06 20 ) 21 1609 13-50 16-03 13-57 15-97 13-ft4 15-91 13-71 21 ) 22 16-8J 14-14 16-79 14-21 16-73 14-29 16-67 14-36 22 ) / 23 17(52 14-78 17-55 14-86 17-49 14-94 17-42 15-01 23 ) ; 24 18-39 15-43 18-32 15-51 18-25 15-59 18-18 15-67 24 2.-) 19-15 16-07 19-08 16-15 19-^1 16-24 18-94 16-32 25 ) 2G 19-92 16-71 19-84 16-80 19-77 16-89 19-70 16-97 26 ) } 27 2()-(58 17-36 20-61 17-45 20-53 17-54 20-45 17-62 27 ) / 2ri 21-45 18-00 21-37 1809 21-29 18-18 21-21 18-28 28 ) / 29 22-22 1^-64 2213 18-74 22-05 18-83 21-97 18-93 29 ) j 30 22-98 19-28 22-90 19-38 2-2-81 19-48 22-73 19-58 30 ; 31 23-75 19-'93 23-66 2003 23-57 20-13 23-48 20-24 31 ) ) 32 24-51 20-57 24-42 20-68 24 33 20-78 24-24 20-89 32 ) ) 33 25-28 21-21 2519 21-32 25-09 21-43 25-00 21-54 33 ) 34 2(5-05 21-85 25-95 21-97 25-85 2-2-08 25-76 22-19 34 ) 35 2(5-81 22-50 26-71 22-61 26 61 2-2-73 26-51 22-85 35 ) 3i) 27-58 23-14 27-48 23-26 27-37 2:j-38 27-27 23-50 36 ) 37 28-34 23-78 28-24 2;}-91 28-13 1^-03 28-03 24-15 37 ) 38 29-11 24-43 2900 24-55 28-90 24-68 28-79 24-80 38 ) 3!) 29-88 25-07 29-77 25-20 29-66 25-33 29-54 25-46 39 ) ( 40 / 30-64 25-71 30-53 25-84 30-42 25-98 30-30 26-11 40 ) ^41 31-41 26-35 31-29 26-49 31-18 26-63 31-06 26-76 41 ) ( 42 32-17 27-00 3206 27-14 31-94 27-28 31-82 27-42 42 } 43 32-94 27-64 32-82 27-78 32-70 27-93 32 58 28-07 43 ) 44 33-71 28-28 33-58 28-43 33-46 28-;J8' 33-33 28-72 44 ) 4o 34-47 28-93 34-35 29-08 34 22 29-23 3409 29-37 45 ) 4(5 35-21 2J-57 35-11 29-72 34-98 29-87 34-85 30-03 46 ) 47 3600 30-21 35-87 30-37 35-74 30-52 35-61 30-68 47 ) 4i> 36-77 30-85 36-64 31-01 36-50 31-17 36-36 31-33 48 ) 41) 37 54 31-50 37-40 31-1)6 37-26 31-82 3712 31-99 49 ) .50 38-30 32-14 38-16 32-31 38 02. 32-47 37-88 32-64 50 j J (5 ) Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 50 ] lEG. 491 Deg. 49^ Deo. m Deg. 'AVKRSE TABLE. ) - 40 Dec. m Deg. Lau Dep. Lat. Dep. I 51 39-07 32-78 38-a2 32-95 52 39-83 33-42 39-69 33-60 53 40-6iJ 34-U7 4045 34-24 5-1 41-37 34-71 41-21 34-89 55 42-13 35-35 41-98 3554 5(j 42-90 3600 42 74 36-18 57 43-66 36-64 4350 36-83 58 44-43 37-28 44-27 37-48 ( 59 45-20 37-92 4503 38-12 ) 60 45 96 38-57 45-79 38-77 ^ 61 46-73 39-21 46-56 39-41 . 62 47-49 39-85 47-32 40-06 ' 63 48-26 4050 48-08 40-71 64 49-03 4114 48-85 41-35 65 49-79 41-78 49-61 42-00 , 66 50-56 42-42 5037 42-64 ' 67 51-32 43-07 51-14 43-29 68 52-09 43-71 51-90 43-94 69 52-86 44-35 .52-66 44-58 ) '^^ 53-62 4500 53-43 45-23 I 71 &4-39 45-64 .54-19 45-87 ' 72 55-16 46-28 54-95 46-52 73 55-92 46-92 55-72 47-17 s 74 56-69 47-57 5G-48 47-81 75 57-45 48-21 57-24 48-46 ^ 76 58-22 48-85 58-01 4911 77 58-99 49-49. 58-77 49-75 78 59-75 50-14 59-53 50-40 79 60-52 50-78 60-30 51-04 80 61-28 51-42 61-06 51-69 I 81 62-05 5207 61-82 ,52-34 ' 82 6282 52-71 62-59 52-98 ' 83 63-58 53-35 63-35 53-63 , 84 frl-35 53-99 64-11 54-27 85 65-11 54-64 64-87 54-92 ' 86 65-88 .55-28 65-64 55-.57 87 66-65 55-92 66-40 56-21 88 67-41 56-57 67-16 56-86 89 68-18 57-21 67-93 57-50 j90 68-94 57-85 68-69 58-15 )91 69-71 58-49 69-45 . 58-80 92 70-48 59-14 70-22 59-44 93 71-24 59-73 70-98 60-09 94 72-01 60-42 71-74 60-74 95 72-77 61-06 72-51 61-38 I 96 73-54 61-71 73-27 62-03 97 74-31 62.35 7403 62-67 98 75-07 62-99 74'80 63-32 99 75-84 63-64 75-56 63-97 100 76-60 64-28 76-32 64-61 Dep, Lat, Dep. Lat. 50 Deo. 49i Dkg. 40i Deg. 40] Deg. ll Lat. Dep. Lat. Dep. i \ 38-78 3312 38-64 33-29 51 I 39-.54 33-77 39-39 33-94 52 / 4030 34-42 40-15 34-60 53 41-06 35-07 40-91 35-25 54 41-82 35-72 41-67 35-90 55 42-58 36-37 42-42 36-55 56 43-34 37-02 43-18 37-21 57 44-10 37-67 43-94 37-86 58 44-80 38-32 44-70 38-51 59 45-62 38-97 45-45 39-17 60 46-38 39-62 46-21 39-82 61 4715 40-27 46-97 40-47 6^ 47-91 40-92 47-73 41-12 63 48-67 41-.56 48-48 41-78 64 49-43 42-21 49-24 42-43 65 50-19 42-86 50-00 43-08 66 50-95 43-51 50-76 43-73 67 '; 51-71 44-16 51-51 44-39 68 52-47 44-81 .52-27 45-04 69 ) 53-23 45-46 53-03 45-69 70 ' 53-99 46-11 53-79 46-35 71 54-75 46-76 54-54 47-00 72 55-51 47-41 55-30 47-65 73 5G-27 48-06 56-06 48-30 74 57-03 48-71 56-82 48-96 75 \ 57-79 49-36 57-57 49-61 76 { 53-55 50-01 58-33 50-26 77 ^ 78 59-31 50-66 .59-09 50-92 60-07 51-31 59-85 51-.57 79 60-83 51-96 60-6] 52-22 "1 81 61-59 52-61 61-36 52-87 62-35 .53-25 62-12 53-53 82 63-11 53-90 62-88 54-18 83 63-87 54-55 63-64 54-83 84 64-03 55-20 64-39 55-48 85 ) 86 ( 6.5-39 55-85 65-15 56-14 66-16 56-50 65-91- 56-79 87 ( 66-92 5715 66-67 57-44 88 ( 67-68 57-80 67-42 58-10 89 ( 68-44 58-45 68-18 58-75 90 J 91 92 69-20 59-10 68-94 59-40 69-96 59-75 69-70 60-05 70-72 60-40 70-45 60-71 93 71-48 81-05 71-21 61-36 94 ( 72-24 61-70 71-97 62-01 95 ( 73-00 62-35 72-73 62-66 96 73-76 63-00 73-48 63-32 97 74-52 63-65 74-24 63 97 98 ( 75-28 64-30 75-00 64-62 99 76-04 64-94 75-76 65-28 100 ( ( Dep. Lat. Dep. *L.u 491 ] Deg. 49^ Deg. S ( 5 s 154 TRAVERSE TABLE. 1 ° 41 Deg. 4U Deg. 414 Deg. 41J Deg. 2 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ) 1 0-75 0-66 0-75 66 0-75 0-66 0-75 0-67 1 1-51 1-31 1-.50 1-32 1-50 1-33 1-49 1-33 2 ) 3 2-26 1-97 226 1-98 2-25 1-99 2-24 2-00 3 ) 4 302 2-62 3-01 2-G4 3-00 2-65 2-98 2-66 4 5 377 3-28 3-76 3-30 3-74 3-31 3-73 3-33 5 f) 4-53 3-94 4-51 3-96 4-49 .3-98 4-48 400 6 7 5-28 4-59 5-26 4-62 5-24 4-64 5-22 4-66 7 8 604 5-25 6-01 5-27 5-99 5-30 5-97 5-33 8 9 6-79 5-90 6-77 5-93 6-74 5-96 6-71 5-99 .1 10 7-55 6-56 7-52 6-59 J>C6-49 6-63 7-46 6-66 11 8-30 7-22 8-27 7-25 '' 8-24 7-29 8-21 7-32 11 ) 12 906 7-87 902 7-91 8-99 7-95 8-95 7-99 12 ) 13 9-81 8-53 9-77 8-57 9-74 8-61 970 8-66 13 ) 14 10-57 9-18 10-53 9-23 10-49 9-28 10-44 9-32 14 ) 15 11-32 9-84 11-28 9-89 11-23 9-94 11-19 9-99 15 IG i2-(;8 10-50 12-03 10-55 11-98 10-60 11-94 10-65 16 ) ) 1^ 12-83 1115 12-78 11-21 12-73 11-26 12-68 11-32 17 ) ) 1« 13-58 11-81 13-53 11-87 13-48 11-93 13-43 11-99 18 ) 19 14-34 12-47 14-28 12-53 14-23 12-59 14-18 12-65 19 ) ) 20 15-09 13-12 15-04 1319 14-98 13-25 14-92 13-32 20 21 15-85 13-78 15-79 13-85 15-73 13-91 15-67 13-98 21 ) ) 22 16-60 14-43 16-54 14-51 16-48 14-58 16-41 14-65 22 ) 23 17-36 1.509 17-29 15-16 17-23 15-24 17-16 15-32 23 ) 24 18-11 1.5-75 18-04 15-82 17-97 15-90 17-91 15-98 24 ) 25 18-87 16-40 18-80 16-48 18-72 16-57 18-65 16-65 25 ) 2G 19-62 17-06 19-55 17-14 19-47 17-23 19-40 17-31 26 > 27 20-38 17-71 20-30 17-80 20-22 17-89 20-14 17-98 27- 28 21-13 18-37 21-05 18-46 20-97 18.55 20-89 18-64 28 ) 29 21-89 1903 21-80 19-12 21-72 19-22 21-64 19-31 29 ) 30 22-64, 19-68 22-56 19-78 22-47 19-88 22-38 1&-98 30 ) 31 23-40 20-34 23-31 20-44 23-22 20-54 2;M3 20-64 31 ) 32 24-15 20-99 24-06 21-10 23-97 21-20 23-87 21-31 32 33 24-91 21-65 24-81 21-76 24-72 21-87 24-62 21-97 33 34 25-66 22-31 25-56 22-42 2.546 •22-53 25-37 22-04 34 35 26-41 22-96 26-31 23-08 26-21 2,3-19 26-11 23-31 .35 ; 36 27-17 23-62 27-07 23-74 26-96 23-85 26-86 23-97 36 ) 37 27-92 24-27 27-82 24-40 27-71 24-52 27-60 24-(i4 37 ) 38 28-68 24-93 28-57 25-06 28-46 25-18 28-35 25-30 38 ) ( 39 29-43 25-59 29-32 25-71 29-21 25-84 29-10 25-97 39 ) ( 40 30-19 26-24 30-07 26-37 29-96 26-50 29-84 26-64 40 j 41 30-94 26-90 30-83 27-03 30-71 2717 .30-.59 27-30 41 ) 42 31-70 27-55 31.58 27-69 31-46- 27-83 31-33 27-97 42 43 32-45 28-21 32-33 28.35 32-21 28-49 32-08 28-63 43 44 3321 28-87 3308 29-01 32-95 29-16 32-83 29-30 44 ) 45 33-96 29-.52 33-83 29-t)7 33-70 29-82 33-57 29-97 45 ) 46 34-72 30-18 34-58 30-33 34-45 30-48 .34-32 30-63 46 47 35-47 30-83 3.5 34 30-99 35-20 31-14 3506 31-30 47 ) I -i^ 36-23 31-49 .36-09 31-65 35-95 31-81 35-81 31-96 ^48 ) ( 49 36-98 3215 36-84 32-31 36-70 32-47 36-56 32-63 49 ) 50 37-74 32-80 37-59 32-97 37-45 Dep. 33-13 37-30 33-29 50 ) i ( 1 1 Dep. Lat. Dep. Lat. Lat. Dep. Lat. 49 Deo. 48i ] Deg. m 1 Oeg. 48i 1 lEG. 155 rr 41 D EH. 1 4H Deg. 41V Deg. 411 De«. a 1 -) 1 ^ Lat. D.p. Lat. Dep. Lat. Dep. Lat. Dep. is: 38-49 33 46 38-34 33- 3 38 20 33-79 38-05 33-96 / 51 ) ( 52 39-24 34-12 39- JO 34-29 38-95 34-46 38-79 34 63 .52 } 53 4U-UU 34-77 39-85 34-95 39-89 3512 39-.>4 35-29 53 ) 54 4ii-75 35-43 40-60 35-60 40-44 3.5-78 40-29 35-96 54 55 41-51 3!308 41-35 3:i-2G 41-19 36-44 4103 36-62 55 56 42-2l> 36-74 42-10 36-92 41-94 37-11 41-73 37-29 .56 / I 57 43-02 37-40 42-85 37-53 42-69 37-77 42 53 37-96 57 ; / 58 43-77 3805 43-61 38-24 43-44 33-43 42-27 38-62 58 ; ( 59 44-53 38-71 44-36 38-90 44-19 39-09 4402 39-29 59 ) 60 45 28 39-36 4511 39-56 44-94 39-76 44 76 39-95 60 > ( 61 46-04 40-02 45-86 40-22 45-69 40-42 4551 40-62 61 ) 62 46-79 40-68 46-61 40-88 46-44 41-08 46-26 41-23 62 } / 63 47-55 41-33 47-37 41-54 47-18 41-75 47-00 41-95 63 ) / 64 4c-30 41-99 48-12 42-20 47 93 42-41 47 75 42-62 64 ) ; 65 4906 42-64 48-87 42-86 48-68 43-07 48-49 43-28 65 ) 66 49-81 43 30 49-62 43-52 4943 43-73 49-24 43-95 66 ) 67 50'57 43-96 50-37 44-18 50-18 44-40 49-99 44-61 67 J 68 51-32 44-61 5113 44-84 50-93 45-06 5073 45-23 68 ) / 69 52-07 45-27 51-88 45-49 51-68 45-72 51-43 45-95 69 I ) 70 52-83 45-92 52-63 46-15 52-43 46-38 5222 46-61 70 ) ) 71 53-58 46-58 53-38 46-81 53-18 47-05 52-97 47-28 71 ) 72 54-34 47-24 54-13 47-47 53 92 47-71 5372 47-94 72 ) 73 55 09 47-89 54-88 48-13 5467 48-37 54-46 48-61 73 ) 74 55-85 48-55 55-64 48-79 55-42 49-03 55-21 49-28 74 ) 75 56 60 49-20 .53-39 49-45 5617 49-70 55-95 49-94 75 76 ) 76 57-36 4y-86 57-14 50-11 56-92 50-36 56-70 50-61 I "'"' 5811 50-52 57-89 50-77 .57-67 51-02 ■ 57-45 51-27 77 } I l^ 58-87 51-17 58-64 51-43 58-43 51-68 .5819 51-94 78 59-62 51-83 59-40 52-09 59-17 5235 58-94 52-60 79 i 8U 60-38 52-43 60-15 52-75 59-92 5301 59-08 53-27 80 , ) 81 61-13 5314 60-90 53-41 60-67 53-67 60-43 53-94 81 ; ; 82 I 83 61-89 53-80 6165 5407 61-41 54-33 61-13 54-60 82 ; 62-64 54-45 62-40 54-73 6216 55-00 61-92 55-27 83 ; 84 63-40 55-11 6315 55-38 62-91 55-66 62-67 55-93 84 ) 85 64- 15 55-76 63-91 56-04 6366 56-32 6341 56-60 85 86 64 90 56-42 64-66 56-70 64-41 56-99 64-16 57-27 86 87 65-66 57-08 65-41 57-36 65-16 57-65 64-91 57-93 87 ) 88 66-41 57-73 6616 58-02 65-91 58-31 65-65 58-60 88 89 6717 58-39 66-91 58-68 66-66 58-97 66-40 59-26 89 ) 90 67-92 59-05 67-67 59-34 67-41 59-64 67-15 59-93 90 j 91 68-68 59-70 68-42 60-00 68-15 60-30 67-89 60-60 91 ) ) 92 69-43 60-36 6»17 60-66 63-90 60-96 63-6-1 61-26 92 } ) 93 70-19 61-01 69-92 61-32 69-65 61-62 69-38 6193 93 ; ) 94 70-94 61-67 70-67 61-93 70-40 62-29 70-13 62-59 94 ) 95 71-70 62-33 71-43 62-64 71-15 62-95 70-33 63-26 95 ) 96 72-45 62-98 72-18 63-30 71-90 63-61 7.1-62 63-92 96 97 73-21 63-64 72-93 63-96 72-65 64-27 72-37 64-59 97 ) ; 98 73-96 64-29 73-68 64-62 73-40 64-94 73-11 65-26 98 . ) 99 )100 74-72 64 95 74-43 65-28 7415 65-60 73-86 65-92 99 ) 75-47 6561 75-18 65-93 74-90 66-26 74-61 66-59 100 < H } _ Dep. Lat. Dep. Lai. Dep. Lat. Dep. Lat. i i 1 49 Deg. 48| 1 Deg. 48^ Deg, 48i Deg. 156 TRAVERSE TABLE. if 42 Deg. 42i Deg. 42i Deg. m Deg. o < ( i Lat. Dep. Lat. Dep. Lat. Dep. Lat. 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Lat. Dep. Lat. Dep. Lat. Dep. Lat. ( - 48 1 )EO. 47| ] Oeg. 1 47.^1 Deg. 47il 3eg. TRAVERSE TABLE, 157 r 42 Deg. 42i Deg. 42i Deg. 42J Deg. .^ Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. \ 51 37-90 34-13 37-75 34-29 37-60 34-46 37 45 34-62 I 51 ) 52 38-64 34-79 38-49 34-96 38.34 3513 38-18 35-30 52 ) 53 39-39 35-46 39-23 35-64 39-08 35-81 33-92 35-98 53 ) 54 55 54 40-13 36-13 39-97 36-31 39-81 36-43 39-65 38-66 55 40-87 36-80 40-71 36-93 40 55 37-16 40-39 37-33 56 41-62 37-47 41-45 37-65 41-29 37-83 41-12 38-01 56 57 42-38 38-14 4219 38-32 42-02 38-51 41-86 38-69 57 58 43-10 38-81 42-93 39-00 42-76 39-18 42-59 39-37 58 59 43-85 39-48 43-67 39-67 43-50 39-88 43-32 40-05 59 |60 44-59 40-15 44-41 40-34 44-24 40-54 44-06 40-73 60 j j 61 ( 62 45-33 40-82 45-15 41-01 44-97 41-21 44-79 41-41 81 ) 46-07 41- J9 45-89 41-69 45-71 41-89 45-53 42-09 62 ) ( 63 46-82 42-16 46-63 42-36 46-45 42-56 46-26 42-76 63 64 47-56 42-82 47-37 4303 47-19 43-24 47-00 43-44 64 65 48-30 43-49 48-11 43-70 47-92 43-91 47-73 44-12 65 66 49-05 44-16 48-85 44-38 48-66 44-59 48-47 44-80 68 67 67 49-79 44-83 49-59 45-05 49-40 45-26 49-20 45-48 63 50-53 45-50 50-33 45-72 50-13 45-94 49-93 46-16 m 69 51-23 46-17 51-07 46-39 50-87 48-82 50-67 46-84 69 ) / 70 52-02 46-84 51-82 47-07 51-61 47-29 51-40 47-52 70 J 71 52-76 47-51 52-56 47.74 52-35 47-97 52-14 48-19 71 ) / 72 53-51 48-18 53-30 48-41 53-08 48-84 52-87 48-87 1-2 / 73 54-25 48-85 54-04 49-08 53-82 49-32 53-81 4955 73 ( ''^ 54-99 49-52 54-78 49-76 54-56 49-99 54-34 50-23 74 75 55-74 50-18 55-52 50-43 55-30 50-67 55-07 50-91 75 ) 76 56-48 50-85 5626 51-10 50-03 51.34 55-81 51-59 76 ) 77 57-22 51-52 57-00 51-77 56-77 52-02 56-54 52-27 11 \ 78 57-97 52-19 57-74 52-44 57-51 52-70 • 57-23 52-95 78 ) 79 58-71 52 86 58-48 53-12 58-24 53-37 58-01 53-63 79 \ 80 59-45 53-53 59-22 53-79 58-98 54-05 58-75 54-30 80 \ 81 60-19 54-20 59-96 54 46 59-72 54-72 .59-48 54-98' 81 ) 82 60-94 54-87 60-70 55-13 60-46 55-40 60-21 .55-68 82 ( ) 83 61-08 55-54 61-44 .55-81 6119 58-07 60-95 58-34 83 ( ) 84 62-42 56-21 62-18 56-48 61-93 58-75 81-68 57-02 84 ) 85 63-17 5G-88 62-92 57-15 62-87 57-43 62-42 57-70 85 ) 86 63-91 57-55 63-66 57-82 63-41 58-10 63-15 .■38-38 86 87 64-65 58-21 64-40 58-59 6414 53-78 63-89 59-08 87 88 65-40 58-88 65-14 59-17 64-88 59-45 64-62 59-73 88 89 6614 59-55 65-88 59-84 65 62 00-13 65-35 60-41 89 ( 90 66-88 60-22 6662 60-51 66-35 60-80 66-09 61-09 90 ( 91 67-63 60-89 67-38 61-19 67-li9 61-48 68-82 61-77 91 ( 92 68-37 01-56 6310 61-88 6783 62-15 87-55 6245 92 ( 93 69-11 62-23 08-34 6253 68-57 62-83 68-29 63-13 93 ( 94 95 98 97 93 69-86 62-90 89-58 63-20 69-30 63-51 69 03 63-81 94 I 70-60 63-57 7U-32 63-87 70-04 64-18 6976 64-49 95 ( 71-34 64 24 71-06 04-55 70-78 64-85 70-49 0.5-18 98 ( 7208 64 91 71-80 65 22 71.52 85'53 71^3 85-84 97 7283 65-57 72-54 65-89 72-25 86-21 71-98 86.52 98 ( 99 73 57 63-24 73-28 66-53 72-99 66-83 72-70 6723 99 ( J 100 74-31 66-91 74-02 67-24 73-73 67-56 73 43 67-88 100 I ! i ) Q Dep, Lat. Dep. Lat. Dep. Lat. Dep. Lat. i \ 48 I )eq. m Deg. 47i Deg. 47i Deg. 14 158 TRAVERSE TABLE, !i 43 Deg. 43^ Deg. 43L Deg. 43| Deg. i Lai. Dep. Lat. Dep. Lat. Dep. Lat. Dep. £ ) P f ) 1 0-73 0-68 73 • 069 73 0-69 0-72 0-69 1 ( '-J 1-46 1-36 1-46 1-37 1-45 1-38 144 1-38 ) 3 2-19 2-05 2-19 2-06 2-18 2-07 2-17 2-07 3 ( ) 4 2-93 2-73 2-91 2-74 2-90 2-75 2-89 2-77 4 { 5 3-66 3-41 3-64 3-43 3-63 3-44 3-61 3-46 5 6 4-39 4-09 4-37 4-11 4-35 413 4-33 4-15 6 < ( 7 512 4-77 5-10 4-80 5-08 4-82 5-06 4-84 8 5-85 5-46 5-83 5-48 5-80 5-51 5-78 5-53 8 ( 9 6-58 614 6-56 6-17 6-53 6-20 0-50 6-22 9 ( ( 10 7-31 6-82 7-28 6-85 7-25 6-88 7-22 6-92 10 ( \ 11 8-04 7-50 801 7-54 7-98 7-57 7-95 7-61 - 11 ( ( 12 8-78 8-J8 8-74 8-22 8-70 8-26 8-67 8-30 ( 13 9-51 8-87 9-47 8-91 9-43 8-95 9-39 8-99 13 ( ( 14 10-24 9-55 10-20 9-59 10-16 9-64 10-11 9-68 14 ( ( 15 10-97 10-23 10-93 10-28 10-88 10-33 10-84 10-37 15 ( / 16 11-70 10-91 11-65 10-96 11-61 11-01 11-56 1106 16 ( ) 17 12-43 11-59 12.38 11-65 12-33 11-70 12-28 11-76 17 ( ) 18 13-16 12-28 13-11 12-33 13-06 12-39 13-00 12-45 18 ) 19 13-90 12-96 13-84 1302 13-78 13-08 13-72 1.3-14 19 j 20 14-03 13-64 14-57 13-70 14-51 13-77 14-45 13-83 20 ( ) 21 15-36 14-32 15-30 14-39 15-23 14-46 15-J7 14-52 21 I ) 22 16-09 15-00 16-02 15-07 15-96 1.5-14 15-89 15-21 22 ) 23 16-82 1.5-60 16-75 15-76 16-68 15-83 16-51 15-90 23 ) 24 17-55 16-37 17-48 16-44 17-41 16-52 17-34 16-60 24 ( ) 25 18-28 1705 18-21 17-13 18-13 17-21 18-06 17-29 25 ( ) 26 19-02 17-73 18-94 17-81 18-86 17-90 18-78 17-98 26 ( ) 27 19-75 ]8-41 19-67 18-50 19-59 18-59 19-50 18-67 Sf > 28 20-48 19-10 20-39 19-19 20-31 19-27 20-23 19-36 ) 29 21-21 19-78 21-12 19-87 21-04 19-96 20-95 20-05 29 30 31 30 21-94 20-46 21-85 20-56 21-76 20-65 21-67 20-75 31 22-67 21-14 22-58 21-24 22-49 21-34 22-39 21-44 ) 32 23-40 21-82 23-31 21-93 23-21 2203 23-12 22-13 32 33 ) 33 24-13 22-51 24-04 22-61 23-94 22-72 23-84 22-82 ) 34 24-87 23-19 24-76 23-30 24-66 23-40 24-56 23.51 34 35 36 ( 35 25-60 23-87 2.5-49 23-98 25-39 24-09 25-28 24-20 < 36 26-33 24-55 26-22 24-07 26-11 24-78 26-01 24-89 < 37 27-06 25-23 26-95 25-35 26-84 2.V47 26-73 25-59 37 < 38 27-79 25-92 27-68 26-04 27-56 26-16 27-45 26-28 38 ( 39 28-52 26-60 28-41 26-72 28-29 26-85 28-17 26-97 39 ( 40 29-25 27-28 29-13 27-41 29-01 27-53 28-89 27-66 40 ;, ( 41 29-99 27-96 29-86 28-09 29-74 28-22 39-62 28-35 41 J ( 42 30-72 28-64 30-59 28-78 30-47 28-91 30-34 29-04 42 ( 43 3] -45 ?9-33 30-01 31-32 29-46 31-19 29-60 31-06 29-74 43 ( 44 32-i8 3205 30-15 31-92 30-29 31-78 30-43 44 45 32-91 30-69 3278 30-83 32-64 30-98 32-51 31-12 45 46 33-64 31-.37 33-51 31-52 33-37 31-66 33-23 31-81 46 ( 47 34-37 3205 34 23 32-20 34-09 32-35 33-95 32-50 47 ( 48 35-10 32-74 3496 32-89 34-82 3304 34-67 33-19 48 ( ( 49 35-84 33-42 35-69 33-57 35-54 33-73 35-40 33-88 49 ( ( 50 36 57 3410 36-42 34-25 36-27 34-42 36-12 34-58 50 ( / o Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i i5 ) .^^ ) ( 1 ( i5 . 47 Deg. 46|I )eg. 46n Deg. 46il 3eg. TRAVERSE TABLE. 159 43 Deg. 434 Deg. 43i Deg. 43J Deg. 51 ) i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 37-30 34-78 3715 34-94 36 99 35-11 36-84 35-27 52 3803 35.46 37-88 35-63 37 72 35-79 37-.56 35-96 52 ) 53 38-67 36-15 38-60 36-31 38-44 36-48 38-29 36-65 53 ) 54 39-49 36-83 39-33 37-00 39-17 3717 39-01 37-34 54 ) 55 40-22 37-51 40-06 37-69 39-90 37-86 39-73 38-03 55 ) 56 40-96 38-19 40-79 38-37 40-62 3855 40-45 33-72 56 57 41-69 38-87 41-52 39-06 41-35 39-24 41-17 39-42 57 ) 58 42-42 39-56 42-25 39-74 42-07 39-92 41-90 40-11 58 ) 59 43-15 40-24 42-97 4l)-43 42-80 40-61 42-62 40-80 59 ) CO 43-88 40-92 43-70 41-11 43-52 41-30 43-34 41-49 60 ) 61 44-61 41-60 44-43 41-80 44-25 41-99 4406 42-18 61 62 45-:m 42-28 45-16 42-48 44-97 42-68 44-79 42-87 62 ) 63 46-08 42-97 45-89 43-17 45-70 4337 45-51 43-57 63 ) 64 46-81 43-65 46-62 43-85 46-42 44-05 46-23 44-26 134 65 47-54 44-33 47-34 44-54 4715 44-74 46-95 44-95 65 ) C6 48-27 45-01 48-07 45-22 47-87 45-43 47-68 45-64 66 ) 67 4900 45-69 48-80 45-91 48-60 46-12 48-40 46-33 67 68 49-73 46-38 49-53 40-59 49-33 46-81 49-12 47-02 68 69 50-56 47-06 50-20 47-28 .50-05 47-50 49-84 47-71 09 ) 70 51-19 47-74 50-99 47-96 50-78 48-18 50-57 48-41 70 71 51-93 48-42 51-71 48-65 51-50 48-87 51-29 49-10 "O 72 52-66 49-10 52-44 49-33 52-23 49-56 52-01 49-79 72 73 53-39 49-79 53-17 50-02 52-95 .50-25 52-73 50-48 73 74 54-12 50-47 53-90 50-70 53-63 50-94 53-45 51-17 74 75 54-85 51-15 54-63 51-39 54-40 51-63 54-18 51-86 75 ) 76 55-58 51-83 55-36 52-07 55-13 52-31 54-90 52-55 76 ) 77 56-31 52-51 56-08 52-76 55-85 53-00 55-02 53-25 77 ) 78 57-05 53-20 56-81 53-44 56-58 53-69 56-34 53-94 78 ) 79 57-78 53-88 57-54 54-13 57-30 54-38 57-07 54-63 79 S 80 58-51 54-56 58-27 54-81 5803 55-07 57-79 55-32 80 ( 81 59-24 55-24 59-00 55-50 58-76 55-76 58-51 56-01 81 S 82 59-97 55-92 59-73 56-18 59-43 58-45 59-23 56-70 82 83 60-70 56-61 60-45 56-87 60-21 57-13 59-96 57-40 83 { 84 61-43 57-29 61-18 57-56 60-93 57-82 60-68 5809 84 S 85 6217 57-97 61-91 58-24 61-66 58-51 61-40 58-78 85 ( 86 62-90 58-65 62-64 58-93 62-38 59-20 62-12 59-47 86 ( 87 63-63 59-33 63-37 59-61 63-11 59-89 62-85 60-16 87 ( 88 64-38 60-02 64-10 60-30 63-83 60-58 63-57 60-85 88 ( 89 65-09 60-70 64-82 60-98 64-56 61-26 64-29 61-54 89 ( 90 65-82 61-38 65 55 61-67 65-28 61-95 65-01 62-24 90 ( ) 91 66-55 62-06 66-28 62-35 66-01 62-64 65-74 62-93 91 ) 92 67-23 62-74 67-01 63-04 66-73 63-33 66-46 63-62 92 ) 93 68 02 63-43 67-74 63-72 67-46 64-02 67-13 64-31 93 ( ) 94 68-75 64-11 68-47 64-41 68-19 64-71 67-90 ' ,65:00 94 ( ') 95 69-48 64-79 69-20 65-C9 68-91 65-39 68-62- f-l 95 ( 96 70-21 65-47 69-92 65-78 69-64 6603 69-35 96 ( 97 70-94 66-15 70-65 66-46 70-36 66-77 70-07 67-08 97 ( ) 98 71-67 66-84 71-37 67-15 71-09 67-46 70-79 67-77 93 ( ) 99 72-40 67-52 7211 07-83 71-81 68-15 71-51 68-46 99 ( ) 100 73-14 68-20 72-84 68-52 72-54 68-84 72-24 6915 lUO ( 1 ( ^ Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 47] Deg. 461 Deg. 46J Deg. m Deg. i^ ^.^^^^^^ -^,-^^-^^-^ _^_,^^ 160 TRAVERSE TABLE. { 1 44 Deo. 44i Deg. 44i Deg. 44a Deg. 45 Deg. 11 1 } Lau Dep. Lat. Dep. Lat. Dep Lat. Dep. Lat. nep. ) 1 0-72 0-69 0-72 0-70 0-71 0-70 0-71 0-71 ,0-71 0-71 I '■■i 1-44 1-39 1-43 1-40 1-43 1-40 1-42 1-41 1-41 1-41 2 ) / 3 2-16 2-08 2-15 2-09 2-14 2-10 2-13 2-11 2-12 2-12 3 ) 4 2-88 2-78 2-87 2-79 2-85 2-80 2-84 2-82 2-83 2-83 4 ) I 5 3-60 3-47 3-58 3-49 3-57 3-50 3-55 3-52 3-54 3-54 5 / 6 4-32 4-17 4-30 4-19 4-28 4-21 4-26 4-22 4-24 4-24 6 ) ( 7 5-04 4-86 5-01 4-88 4-99 4-91 4-97 4-93 4-95 4-95 7 ) I 8 5-75 5-.56 5-73 5-.58 5-71 .5-61 5-68 5-63 5-66 5-66 8 ) f 9 6-47 6-25 6-45 6-28 6-42 6-31 6-39 6-34 6-30 6-36 9 ) !■» 7-19 6-95 7-16 6-98 7-13 7-01 7-10 7-04 7-07 7-07 10 ) iSJ 7-91 7-64 7-88 7-68 7-85 7-71 7-81 7-74 7-78 7-78 11 i 8-63 8-34 8-60 8-37 8-56 8-41 8-52 8-45 8-49 8-49 12 ; » 9-35 903 9-31 9-07 9-27 9-11 9-23 9-15 9-19 9-19 13 ) 10-07 9-73 10-03 9-77 9-99 9-81 9-94 9-86 9-90 9-90 14 ; 15 lU-79 10-42 10-74 10-47 10-70 10-51 10-65 10-.'j6 10-61 10-61 15 ) 16 11-51 111] 11-46 11-16 11-41 11-21 11-36 11-26 11-31 11-31 16 ) 17 12-23 11-81 12-18 11-86 1213 11-92 12-07 11-97 12-02 12-02 17 ) 18 12-95 12-50 12-89 12-56 12-84 12-62 12-78 12-67 12-73 12-73 18 ) 19 13-67 13-20 13-61 13-26 13-55 13-32 13-49 13-38 13-43 13-43 19 ) 20 14-39 13-89 14-33 13-96 14-26 14-02 14-20 14-08 14-14 14-14 20 21 15-11 14-59 15-04 14-65 14-98 14-72 14-91 14-78 14-85 14-85 21 J < 22 15-83 15-28 ].r76 15-35 15-69 15-42 1.5-62 15-49 15.56 15-56 09 \ 23 10-54 15-98 10-47 16-05 16-40 1612 16-33 16-19 16-26 16-26 23 24 17-2(; 16-67 17-19 16-75 17-12 16-82 17-04 16-90 16-97 16-97 24 25 17-98 17-37 17-91 17-44 17-83 17-.52 17-75 17-60 ]7-{» 17-68 25 26 18-70 18-00 18-62 18-14 i8-.-,n 18-22 18-46 18-30 18-38 l«-38 26 ( 27 19-42 18-76 19-34 18-84 19-26 18!>2 19-17 19-01 19-09 19-09 27 ( 28 20-14 19-45 20-06 19-54 19-97 19-63 19-89 19-71 19-80 19-80 28 ( 29 20-86 20-15 20-77 20-24 20-68 20-33 20-60 20-.52 20-51 20-51 29 30 21-58 20-84 21-49 20-93 21-40 21-03 21-31 21-12 21-21 21-21 30 J 31 22-30 21-53 22-21 21-63 2211 21-73 22-02 21-82 21-92 21-92 31 j 32 23-02 22-23 22-92 22-33 22-82 22-43 22-73 22.53 22-63 22-63 32 ) 33 23-74 22-92 23-64 23-03 23.54 23-13 23-44 23-23 23-33 23-33 33 34 24-46 23-62 24-35 23-72 24-25 23-83 2415 23-94 24-04 24-02 34 , 35 25-18 24-31 25-07 24-42 24-96 24-53 24-86 24-64 24-75 24-75 35 \ 36 25-90 2.5-01 25-79 25-12 25-68 25-23 25-57 25-34 25-46 25-40 36 ) 37 26-62 25-70 26-59 25-82 26-39 25-93 2G-28 26-05 26-16 26-16 37 ) 38 27-33 26-40 27-22 26-52 27-10 26-63 26-99 26-75 26-87 26-87 38 39 28-05 27-09 27-94 27-21 27-82 27-34 27-70 27-46 27-58 27-58 39 S 40 28-77 27-79 28-65 27-91 28-53 28-04 28-41 28-16 28-28 28-28 40 ) 41 29-49 28-48 29-37 28-61 29-24 28-74 29-12 28-86 28-99 28-99 41 S 42 30-21 29-18 30-08 29-31 29-96 29-44 29-83 28-.57 29-70 29-70 42 > 43 30-93 29-87 30-80 30-00 30-67 30-14 .3l)-54 30-27 30-41 30-41 13 ) 44 31-65 30-56 31.52 30-70 31-38 30-84 31-25 30-98 31-11 31-11 44 ( 45 46 47 32-37 3126 32-23 31-40 32-10 31.54 31-96 31-68 31-82 31-82 45 3309 31-95 32-95 32-10 32-81 32-24 32-67 32-38 :«-53 32-53 46 33-81 32-65 33-67 32-80 33-.12 32-94 33-.38 .33-09 33-23 33-23 47 48 34-53 33-34 34-38 33-49 34-24 33-64 34-09 33-79 33-94 33-94 48 49 35-25 34-04 35-10 34-19 34-95 34-34 34-80 34-.50 34-65 34-65 49 ( 50 35-97 34-73 35-82 34-89 35-66 35-05 35-51 35-20 35-36 35-36 .50 I i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 46 Peg. ' 45^ Deg. 45J Deg. 45i Deo. 45 ] lEG. v^-^-J TRAVERSE TABLE. 161 Dep. 3G-69 37-41 38-12 38-84 39-56 40-28 41-00 41-72 42-44 43-16 43-88 44-60 45-32 46-04 46-76 47-48 48-20 48-92 49-63 50-35 51-07 51-79 52-51 53-23 53-95 54-67 55-39 5611 56-83 57-55 58-27 58-99 59-71 60-42 61-14 61-86 62-58 63-30 64-02 64-74 65-46 66-18 66-90 67-62 68-34 6906 69-78 70-50 71-21 71-93 35-43 36-12 36-82 37-51 38-21 38-90 39-60 40-29 40-98 41-68 42-37 43-07 43-76 44-46 45-15 45-85 46-54 47-24 47-93 48-63 4D-32 50-02 50-71 51-40 52- 10 52-79 53-49 54-18 54-88 55-57 56-27 56-96 57-56 58-35 59-05 59-74 60-44 61-13 61-82 62-52 63-21 63-91 64-60 65-30 (55-99 66-69 67-33 68-08 68-77 69-47 Dep. j Lat. 46 Deg. Uk Deg. Lat. Dep. 36-53 3559 37-25 36-29 37-96 .36-98 38-68 37-68 39-40 38-33 40-11 39-08 40-83 39-77 41.55 40-47 42-26 41-17 42-98 41-87 43-69 42-57 44-41 43-26 45-13 43-96 45-84 44-66 46-56 45-36 47-28 4()-05 47-99 46-75 48-71 47-45 49-42 48-15 50-14 48-85 50-86 49-54 51-57 50-24 52-29 50-94 53-01 51-64 53-72 52-33 54-44 53-03 55-16 53-73 55-87 54-43 56-59 55-13 57-30 55-82 58-02 56-52 53-74 57-22 59-45 .57-92 60-17 58-61 60-89 59-31 61-60 60-01 62-32 60-71 63-03 61-41 63-75 62-10 64-47 62-80 65-18 63-50 65-90 64-20 66-62 64-89 67-33 65-59 68-05 66-29 68-76 66-99 69-48 67-69 76-20 68-38 70-91 69 OS 71-63 69-78 Dep. Lat. . 451 Deg. 44^ Deg. 36-38 37-09 37-80 38-52 39-23 39-94 40-66 41-37 42-08 42-79 43-51 44-22 44-93 45-65 46-36 47-07 47-79 48-50 49-21 49-93 50-64 51-35 52-07 52-78 53-49 54-21 54-92 55-63 56-35 57-06 .57-77 58-49 59-20 59-91 60-63 61-34 62-05 62-77 63-48 64-19 64-91 65-62 66-33 67-05 67-76 68-47 69-19 69-90 70-61 71-33 Dep, Dep 35-75 36-45 37-15 37-85 38-55 39-25 39-95 40-65 41-35 42-05 42-76 43-46 44-16 44-86 45-56 46-26 46-96 47-66 48-36 49-06 49-76 50-47 51-17 51-87 .52.57 53-27 53-97 54-67 55-"37 56-07 56-77 57-47 58-18 58-88 59-58 60-28 60-98 61-68 62-38 63-08 63-78 64-48 6.5-18 66-59 67-29 67-99 68-69 69-39 70-09 Lat 44} Deg. 36-22 36-93 37-64 .38-35 39-06 39-77 40-48 41-19 41-90 42-61 43-32 44-03 44-74 45-45 46-16 46-87 47-.58 48-29 49-00 49-71 50-42 5113 51-84 52-55 53-26 53-97 .54-68 55-39 56-10 56-81 57-52 58-24 58-95 59-66 60-37 61-08 61-79 62-.50 I 63-21 63-92 64-63 65-34 66-05 66-76 67-47 68-18 68-89 69-60 70-31 71-02 Dep. Dep. 35-90 36-61 37-31 38-02 38-72 39-42 40-13 40-83 41-54 42-24 42-94 43-65 44-35 45-06 45-76 46-46 47-17 47-87 48-58 49-28 49-98 50-69 51-39 52-10 52-80 53-51 54-21 54-91 55-62 56-32 57-03 57-73 58-43 5914 59-84 60.55 61-25 61-95 62-66 63-36 64-07 64-77 65-47 66-18 66-88 67-.59 68-29 68-99 69-70 70-40 Lat. 45i Deg. 45 Deg. 36 06 36-77 37-48 38-18 38-89 39-60 40-31 41-01 41-72 42-43 43-13 43-84 44-55 45-25 45-96 46-67 47-38 48-08 48-79 49-50 50-20 50-91 51-62 52-33 .53-03 53-74 54-45 55-15 55-86 56-57 57-28 57-98 58-69 59-40 60-10 60-81 61-.52 62-23 62-93 63-64 64-35 65-05 65-76 66-47 67-13 67-88 68-59 69-30 70-00 70-71 1G2 TABLE OF NATURAL SINES. rT'^pT^l^T^^T^s's^ 40 50 I 6° I 70 I 80 I 93 i 5 10 15 20 25 30 ( 35 / 40 45 I 50 { 55 60 ^C()S. 000000 1454 2909 4303 5818 7272 8727 010181 1635 3090 4544 5998 7452 017452 8907 020361 1815 3269 4723 6177 763] 9085 030539 1992 3446 4899 034899 6353 7806 9260 040713 2166 3619 5072 6525 7978 9431 050883 2330 052336 3788 5241 6693 8145 9597 061049 2500 3952 5403 6854 8300 9756 069756 071207 2658 4108 5559 7009 8459 9909 081359 2808 4258 5707 7156 087156 8605 090053 1502 2950 4398 5846 7293 8741 100188 1635 3082 4528 5975 7421 8867- 110313 1758 3203 4648 6093 7537 8982 12042G I 18691 3313 4756 6199 7642 9084 130526 1968 3410 4851 6292 7733 9173 1391731 140613 20531 3493; 4932 6371 7809 92481 1506861 2123 3561 4998! 6434 1564341 7871 ! 55 9307150 160743 2178 3613 5048 6482 7918 9350 170783 2216 36481 I 870 850 840 I 330 I goo I 8I0 I 8OO (|Sin MP 1 no 1 120 130 140 1 150 160 170 I80 190 1 i 173648 190809 207912 224951 241922 258819 275637 292372 309017 325568 60 S 5 5080 2237 9334 63()8 3333 260224 7035 3762 310400 694:; 55 10 6512 3664 210750 7784 4743 1628 8432 5152 1782 83r. -lO 15 20 (25 7944 5090 2178 9200 6153 3031 9829 (•)5-12 3104 909 1 ; 45 9375 6517 3599 230616 7563 4434 28122,) 7930 4545 331063; 40 180805 7942 5019 2031 8972 5837 2620 9318 5925 2435 1 35 ^30 2236 9368 6440 3445 250380 7238 '4015 300706 7305 3807 30 p5 40 3665 200793 7859 4859 1788 8640 5410 2093 8684 5178 25 5095 2218 9279 6273 3195 270040 6803 3479 320062 6547 20 45 6524 3042 220(597 7686 4602 1440 8196 4804 1439 7917 10 {^0 7953 5065 2116 9098 6008 2840 9589 6249 2816 9285 10 .55 60 9381 6489 3534 240510 7414 4239 290981 7633 4193 340653 i> 190809 7912 4951 1922 8819 51)37 2.372 9017 5568 2020 )Cos. 790 I 780 I 770 I 760 I 750 II 740 I 730 I 720 | 7IQ | 70° | Sin. 200 I 210 I 220 I 2.30 I 240 i I 250 I 260 | 0-0 [ 280 | 290 | 0,342020 35836H / 5 )10 15 ) 20 25 ) 30 ) 35 ) 40 ) 45 ) 50 S 55 3387 9725 4752 361082 G117 2438 7481 1 3793 8845 5148 3502071 6501 1569! 78.54 2931 1 9206 4291 370557 5651 1908 70101 3258 83681 4607 3746071 390731 59.551 2070 7302 8649 9994 3407 4744 6080 7415 8749 400082 1415 6711 1 2747 8052 4078 9392 I 5408 390731! 6737 381339 2683 4027 5369 406737 80(;5 9392 410719 2045 3368 4693 6016 7338 8660 9980 421300 2618 422618 3936 5253 6.569 7884' 9198 430511 1823 31 35 4445 5755 7063 8371 438371 9678 440984 2289 3593 48961 6198 7499; 8799 450098 1397 2694 3990 1 453990:469472 5286 6580 7874 9166 460458 1749 3038 4327 707.55 2038 3321) 4(500 5880 7159 8436 9713 .56151480989 6901 \ 22(i3 8187 i 3.537 94721 4810 484810160 6081 55 ' 7352 50 8621 45' 9890 40 ' 491157|35 ' 2424 1 30 ' 3689 25 ' 49.53 20 ' 6217 15 7479 '10 87401 5 5000001 Cos. 690 I 680 I 070 I 6OO I 650 I i 640 I 630 I (ioo | OP | 6OO | )Sin. 30O 500000 1259 2517 3774 5030 6285 7538 8791 510043 1293 2543 3791 5038 310 1 320 1 51.5038 529919 6284 .531152 7529 2384 8773 3615 520016 4844 1258 6072 2499 7300 3738 8526 4977 9751 6214 540974 7450 2197 8685 3419 9919 4639 330 544639 58.58 7076 8293 9509 550724 1937 3149 4360 5570 6779 7987 9193 340 .559193 560398 1602 2g05 4007 5207 6406 7604 8801 9997 .571191 2384 3576 350 573576 4767 5957 7145 8332 9518 580703 1886 3069 4250 5429 6608 7785 360 370 380 1 390 587785 GO 1815 61.5661 629320 8961 2976 (5807 630450 590136 4136 7951 1578 1310 5294 9094 2705 2482 6451 620235 3831 36.53 7607 1376 4955 4823 87til 2515 6078 5991 9915 36.52 7200 71.59 611067 4789 8320 8325 2217 5923 9439 9489 3367 7057 6405.57 600653 4515 8189 1673 1815 .5661 9320 2788 60 55 50 45 40 35 30 25 20 15 10 5( 0( J9QJ^^580J^J70J^^560J^J50j|^5^^ Natural Cosines. TABLE OF NATURAL SINE 163 ' 1 40O 1 410 420 1 430 1 440 i 450 460 470 480 490 r { 642788 656059 669131 681998,694658 | 707107 719340 731354 743145 754710 60 { 5 3901 715G 670211 3061 5704 8134 720349 2345 4117 5663 55 10 5013 8252 1289 4123 6748 9161 1357 3334 5088 6615 50 15 6124 9346 2367 5183 7790 710185 2364 4323 6057 7565 45 20 7233 660439 3443 6242 8832 1209 3369 5309 7025 8514 40 ) 25 8341 1530 4517 7299 9871 2230 4372 6294 7991 9461 35 ) 30 9448 2620 5590 8355 700909 3250 5374 7277 8956 760401) 30 ) 35 650553 3709 6662 9409 1946 4269 6375 8259 9919 1350 25 ) 40 1657 479(3 7732 690462 2981 5286 7374 9239 750880 2292:20 S 45 2760 5882 8801 1513 4015 6302 8371 740218 1840 3232 15 ) 50 3861 69G6 9868 2563 5047 7316 9367 1195 2793 4171 10 5109 5 S 6044 55 49G1 8049 680934 3611 6078 8329 730361 2171 3755 60 6059 9131 1998 4658 7107 9340 1354 3145 4710 Cos. 490 I 480 I 470 I 460 I 4: 440 I 430 I 42^ I 410 40O )Sin. 50O I 510 | 52^ | 53^ | 54° |1 55° | 560 | 570 | 530 | 590 | 76604-1 777146 788011 798636 899017 819152 829038 838671 848048 857167,60 6979 8060 8905 9510 9871 9985 9850 9462 8818 7915155 10 7911 8973 9798 800383 810723 820817 830G61 840251 9586 8062 50 15 8842 9884 790690 1254 1574 1647 1470 1039 850352 9406 45 20 9771 780794 1579 2123 2423 2475 2277 1825 1117 860149 40 25 770699 1702 2467 2991 3270 33G2 3082 2609 1879 0890 35 30 1625 2608 3353 3857 4116 412G 3886 3391 2640 1629 30 35 2549 3513 4238 4721 4959 4949 46S8 4172 3399 2366 25 40 3472 4416 5121 5584 5801 5770 5488 4951 415G 3102 20 45 4393 5317 6002 6445 6642 6590 6286 5728 4912 3836 15 50 5312 6217 6882 7304 7480 7407 7083 6503 5665 4567 10 55 6230 7114 /759 8161 8317 8223 7878 7277 6417 5297 5 60 7146 8011 863l; 9017 9152 9038 8G71 8048 7167 6025 '^Cos. 390 I 380 I 370 I -HP I 350 ii 340 I 330 I 320 I 3]0 I 30O | Sin 6OO 610 G20 882948' 630 643 II 650 66O 670 1 68O 1 690 1 8G6025 874620 891007 898794 806308 913545 920505 927184 933580,60 5 6752' 5324 3629 1666 9431 6922 4136 1072 772b 4101:55 10 7476 6026 4309 2323 900065 7533 4725 1038 8270 4619 50 35 8199 6727 4988 2979 0698 8143 5311 2201 8810 51351 45 20 8920 7425 5664 3633 1329 8751 5896 2762 9348 5650 40 25 9639 8122 6338 4284 1958 9357 6479 3322 9884 6162 35 30 870356 8817 7011 4934 2585 9961 70(50 3880 930418 6672 30 35 1071 9510 7681 5582 3210 I 910563 7639 4435 0950 7181 25 40 1784 880201 8350 6229 3834 1164 8216 4939 1480 7687 20 45 249() 0891 9017 6873 4455 1762 8791 5541 2008 8191 15 50 3206 1578 9G82 7515 5075 2358 9384 6090 2534 8G94 10 55 3914 2264 890345 8156 5692 2953 9936 6638 3058 91941 5 60 4620 2948 1007 8794 6308 ! 3545 920505 7184 3580 9893 1 jcos. 290 I 280 I 270 I 260 I 250 II 240 I 230 I 220 I 210 I 2i)0 | (Sin. 70° 1 710 720 1 730 1 740 1 750 760 1 770 1 7SO 1 790 1 ) 9396931945519 951057 95()305 9G1262 9G5926 97029G 974370 978148 981627 60 ( 5 940189 5991 1505 6729 1()62 6301 0647 4696 8449 1904 55 \ 10 0634 6462 195] 7151 2059 6675 0995 5020 8748 2178 50 •^1 15 1176 6930 2396 7571 2455 7046 1342 5342 9045 2450 45 ')20 1666 7397 2338 7990 2849 7415 1687 5662 9341 2721 40 \ 25 2155 7861 3279 8406 3241 7782 2029 5980 9634 2989 35 \ 30 2641 8324 3717 8820 3630 8148 2370 6296 9925 3255 30 (,35 3126 8784 4153 9232 4018 8511 2708 6610 989214 3519 25 \ 40 3G09 9243 45S8 9642 4404 8872 3045 692] 0500 3781 20 \ 45 4089 9699 5020 960050 4787 9231 3379 7231 0785 4041 15 \ 50 4568 950154 5450 04 -)6 5169 9583 3712 7539 1068 4298 10 ( 55 5044 060G 5879 0850 5548 9943 4042 7844 134'.! 4554 5 ( 60 5519 1057 6305! 1262 592'i 970296 4370 8148 162- 4808! ) ' I lyo I 180 I 17c 160 I 150 II 140 I 130 1 120 I 110 I 100 Natural Cos^ies." ^ ^ - 164 TABLE OF NATURAL TANGENT ' I I 81° I 82° I 830 j 84° 11 85° | 870 880 1 998630 999391 8705 9441 8778 9488 8848 9534 8917 9577 8984 9618 9048 9657 9111 9694 9171 9729 9229 9762 9285 9793 9:^39 9821 9391 9848 890 I 0,984808 5059 5309 5556 5801 6045 30 ; 6286 6525 67G2 C9i^6 72;^! I 7460 7668 987688 7915 8139 8362 8582 8800 9016 9230 9442 9651 98.'.9 9900(J5 02t)8 990208 0469 CC69 0866 1061 1254 1445 1634 182;) 2i)05 2187 23(58 2546 992546 2722 2896 3068 3238 3406 3572 3735 3897 4056 4214 4369 4522 994522 4673 4822 4969 5113 5256 5396 5535 5671 5805 5937 6067 6195 996195 6320 6444 G566 6685 6802 6917 7030 7141 72:.() 7357 7462 7564 997564 7664 7763 7859 7953 8045 8135 8223 8308 8392 8473 8552 8630 99 9848 60 9872 55 9894 '50 9914 45 9932 40 9948 1 35 30 25 20 15 10 9962 9974 9983 9990 9996 1-OOCOO Cos. 90 I 80 I 60 40 I 30 I 20 I 10 00 Natural Cosines. TABLE OF NATURAL TANGENTS. I'^IpI 1o'^T"20 ( 30^ I ~^40 "if 50~'"|"'60^|^ 90 I OOOOGO 0174.55 034921 0.52408 069927 087489 105104 122785 140541 158384 60 5 14.')4 8910 6377 .3866 071389 89.54 6.575 4261 2024 9876 55 10 2i)l)9 !.203()5 7834 5325 2851 090421 8046 5738 3508 161368 50 15 4363 1820 9290 6784 4313 1887 9518 7216 4993 2860 45 0,. ' 5818 3275 040747 8243 5775 3354 110990 8694 6478 4354 40 1 ')- 7272 4731 o>'>,')4 9703 7238 4821 2463 130173 7964 5848 35 3,) 8727 6186 3661 0611631 8702 6289 3936 1652 9451 7343 30 3i 010181 7641 5118 2i)23 080165 7-7.57 5409 31.32 150938 8838 25 40 1636 9097 0.57() 4083 1629 9226 6883 4t513 2426 170334 20 45 3091 030553 8033 5543 3094 100695 8358 6094 3915 1831 15 50 4545 200i) 9491 7004 45.-)8 2164 9833 7576 5404 3329 10 55 GOOO 34(i5 050949 8465 6023 1 3634 121309 9058 6894 1 4828 5 60 7455 4921 i 2408 9927 7489 1 5104 2785 140.541 8384! 6327 C.jt. 890 1 830 1 870 1 86O 1 850 1 840 1 830 1 820 1 8I0 1 8OO |. Tnn. 100 1 IP 1 120 1 i:p | 140 1 1.50 1 160 1 170 1 180 |, 190 1 17(>327 J 94.3811 2125.17 !23(WiH 249.328 { I 2r)7949 286745 30573] 3249201344328160 5 7827 58!)ll 40771 2401 2.-.!)813; 9.109 i 8.320 7322 6528 5!)55;o5 10 9328 7401 55991 3934 2420, 271069 9890 8914 81.39 7.585 50 15 180S30 8912 71211 5469 3968. 2631 1291473 310.508 9751 1 9216145 20 2332 200425 8645 7(M)4 ,5517 41941 3052 2104 331364:350848 40 25 3835 1938 220169 8.-41 706() .57.591 4632 3701 2979; 2483 35 30 5339 3452 l(i95 24(K)79 8618 7325 6214 5299 4595 4119 30 35 6844 4967 3221 1 1618 260170 8892 7796 6899 6213 5756 25 40 8350 6483 4749 31.57 1723 280460 9380 8500 7833 7396 20 45 9856 8000 6277 4(ii)S 3278 20291300966 320103 9454 9037 15 50 191363 9518 7806 C241 4834 3(i00 2.5.53 17071341077 300680 10 55 2871 211037 93.371 7784 6391 5172 4141 33131 2702 2324 5( )60 4380 2557 2308681 9328 7949 6745 .5731 4920 1 4328 3970 0^ ^Cut. 790 1 780 1 770 1 760 1 750 1 740 1 730 1 720 1 710 1 70O 1 )T;i 11.200 1 210 1 220 1 o;p 1 040 1 250 1 2{)0 1 270 1 280 1 290 1 IT 3639701383864 40402() 424475 44.5229 4ti6308 487733 509525 531709 554309 60 5 5618 5534 5719 6192 0973 8080 9534 511349 3577 6212 55 < 10 7268 7205 7414 7912 8719 9854 491339 3195 5447 8118 .50 ( 15 8920 8879 9111 fN)34 45()4()7 471631 3145 50341 7319 560027 45 ( 20 370573 390554 410810 431358 2218 3410 49.>5 <5876 9195 1939 40 ( 25 2228 2231 2511 3084 3971 5191 6767 8720 541074 3854 35 ( 30 3885 3910 4214 4812 5726 697(5 8582 520567 2956 5(/3 30 ( )35 5543 5592 5919 6543 7484 8762 500399 2417 4840 7694 25 ( 40 7204 7275 7626 9335 8276 9244 480551 2219 4270 6728 9619 20 45 88t)()i 8960 440011 401006 2343 4042 6126 8619 571547 15 50 380530 400646 421046 1748 2771 4137 58671 7984 550513 3478 10 55 2196 2335 2759 3487 4538 5933 7695 9845! 2409 5413 5 60 3864 4026! 4475 5229 6308 ) 77.33' 9.525 531709! 4309 i 7350 LIJ.^^.A 680 j G70 1 660 1 65° | J?i°_ 1 i'-f^L^°J^^^i -9^J^ J ^ atural ( Jotangei ts. TABLE OF NATURAL TANGENTS, 1G5 330 7350 9291 501235 3183 5134 7088 9045 591006 2970 4938 6908 8883 600861 600861 2842 4827 6815 8807 610802 2801 4803 6809 8819 620832 2849 4869 8921 630953 2988 5027 7070 9U7 641167 3222 5280 7342 9408 649408 651477 3551 5629 77] 9796 661886 3979 6077 8179 670285 2394 4509 674509 6627 8749 680876 3007 5142 7281 9425 691572 3725 5881 8042 700208 700208 2377 4551 6730 8913 711)01 3293 5430 7691 9897 722108 4323 0543 726543 8767 730996 3230 5469 7713 9961 742214 4472 6735 9003 751276 3554 753554 5837 8125 760418 5019135 7327130 9640 ; 25 771959 4283 6612 8946 78128() /Cot. 590 I 58° 570 56° 550 I 540 I 530 I 52° I ran . 38° 390 40O 410 II 781286 809784 839100 8692871 5 • 3631 812195 841581 8718441 10 5981 4612 4069 4407 15 8336 7034 6563 6977 20 790698 9463 9062 9553 25 3064 821897 851568 882136 30 5436 4336 4081 4725 35 7813 6782 6599 7322 40 800196 9234 9124 9924 45 2585 831691 861655 892534 50 4979 4155 4193 5151 55 7379 6624 6736 7774 60 9784 9100 9287 900404 420 430 440 450 900404 932515 965689 VOOOOOO 60 3041 5238 8504 002913 55 5685 7968 971326 005835 50 8336 940706 4"157 008765 45 910994 3451 6996 011704 40 3()59 6204 9842 014651 35 6331 8965 982(>97 017607 30 9010 951733 5560 020572 25 921697 4508 8432 023546 20 4391 7292 991311 026529 15 7091 960083 4199 029520 10 9800 2882 7095 032521 5 932515 5689 1-000000 035530 (Cot. 51° I 50° I 490 480 I 460 I 450 I 440 I ,;Tan ~0 5 10 15 20 25 30 ( 35 , 40 45 I 50 55 ( 60 460 I I 48° I 490 5P 520 I 530 I 1-035530 1-072369 1] 10613 1-150368 1-191754 1-234897 1-279942 1-327045 038549 075501 113866 1537.53 195280 238576 283786 331068 041.577 078642 117131 1571.50 198818 242269 287645 335108 044614 081794 120405 160557 202360 24.5974 291518 339162 047660 084955 123691 163076 205933 249693 295406 343233 0.50715 088127 126987 107407 209509 253426 299308 347320 053780 091309 130294 1708.50 213097 257172 3032-25 351422 056854 094500 133612 174304 216698 260932 3071.58 355541 059938 097702 136941 177770 220312 264706 311105 359676 063031 100914 140282 181248 223939 268494 31.5067 363828 066134 104137 143633 184738 227579 272296 319044 367996 069247 107369 146995 188240 231231 2761 12 323037 372181 072369 110613 150368 191754 234897 279942 327045 376382 Cot. 430 I 42° I 41° I 490 390 I 38° I 370 36° I (Tan. 540 I 560 I 57c 580 I 590 6OO OP I 1-376382 1-428148 380600 432578 384835 437027 389088 441494 393357 445980 397644 450485 401948 455009 406270 459552 410610 464115 414967 468697 419343 473298 423736 4779-20 428148 482561 491904 496606 5013-28 50607] 510835 515620 520426 5252.54 530102 534973 539865 1-539865 544779 549716 554674 559655 564659 569686 574735 579808 584904 590024 595167 600335 1-6003.35 605526 610742 615982 621247 626537 631852 637192 642558 647949 653366 658810 664280 664280 669776 675299 680849 686426 692031 697663 703323 709012 714728 720474 326248 732051 1-732051 1-804048 737883 8102.52 743745 816489 749637 822759 7.55559 829063 761511 835400 707494 84177] 773508 848176 779552 854616 785629 861091 791736 867600 797876 874146 804048 880727 330 1 320 II 310 I "Nat^iruTCotaiigentsr 166 TABLE OF NATURAL TANGENTS, I 64° I 65° II 66° 67° I 690 I 1-880727 887344 893997 900687 907415 914179 920982 927823 934702 941620 948577 955574 962611 96261 1 969G87 976805 983964 991164 998406 005690 013016 020386 027799 035257 042758 050304 2-050304 057895 065532 073215 080944 088720 096544 104415 112335 120303 128321 136389 144507 2-144507 152676 160896 169168 177492 185869 194300 202784 211323 219918 228568 237274 246037 2-246037 254857 263736 272673 281669 290726 299343 309021 318261 327563 336929 346358 355852 2-355852 365412 375037 384729 3^4489 404317 .414214 424180 434217 444326 454506 464760 475087 -475087 485489 495966 506520 517151 527860 538648 549516 560465 571496 582609 593807 605089 5-605089 616457 627912 639455 651087 662809 674622 686527 698525 710619 722808 735093 747477 Cot. 27° I 26° I 250 24° 230 I 220 I 210 I 200 I /Tan. 700 1 710 720 1 730 II 740 1 750 760 770 I 2-747477 2-904211 3-077684 3-270853 3-487414 3-732051 4-010781 4-331476 60 ( 5 759961 917991 0929«3 287949 506656 753882 035778 360400 55 10 772545 931889 108421 305209 526094 775952 061070 389(i94 50 ( 15 785231 945905 123999 32-2636 545733 798266 086663 419364 45 ( 9i) 798020 960042 139719 3-10233 565575 8-208-28 112561 449418 40 / 9,5 810913 974302 155584 358001 5856-24 843642 138772 479^-164 35 ^ 30 823913 988685 171595 375943 605884 866713 ii;5:!(io 510709 30 / 35 837020 3-003194 187754 394063 626357] 890015 19-J151 5419t;i -25 ' 40 850235 017830 204064 41-2363 647047 913C)42 57.S()-29 20 45 863560 032595 220526 430845 667958 937509 24()848 605721 15 50 876997 047492 237144 449512 689093 9r)1652 274707 638-246 10 890547 062520 253918 468368 710456 98(i074 30-2914 671212 5 60 904211 077684 270853 487414 732051 4-010781 331476 704630 180 I 170 I 160 II 150 I 140 I 130 I n20 I 'Tan . 780 790 1 800 1 81° 1 820 1 s:]o 840 1 850 1 1 n 4-704630 5-144554 5-671282 6-313752 7-115370 8-14434() 9-514365 11-431)05 60 5 738.-)(W 184804 719917 373736 191246 24344!) 649348 6247(] 55 10 77-2<'i7 2-25665 769369 434843 268726 344956 788173 8-J6 17 50 15 807685 267152 819057 497104 347861 448957 931009 12-03462 45 20 843005 309279 870804 5(i0554 428706 555547 10-07803 2505 1 40 25 87S825 352063 92-28.32 625226 ! 511318 664.-t'22 •22943 47422 3.) 30 915157 395517 975764 691156' 595754 77()-^87 38540 70620 30 ', 35 9521)13 439659 6-029625 758383 ; 682077 891S51 54615 946'.)2 2.5 40 989403 484505 084438 826944 770351 9-0098-26 71191 13-19688 20 45 5-027340 530072 140230 89(5880 1 8(K)642 130935 88292 j 45663 15 50 55 065835 576379 19702^ 968234 1 953022 255304 11-05943 ,72674 10 104902 623442 254859 7-041048 8-047565 383066 24171 14-00786 5 U. 144554 671282 313752 115370 1 144346 514365 430051 30067 U )Cot. 110 I 100 I 90 I 80 II 70 60 50 I 40 ^Tnn. 860 | |)i^. | gTO | Diff. || 88O | Diff. | 890 | Diff. ) 20 25 J 30 < 35 14-30067 60592 9-2442 15-25705 60478 9()867 16-34986 74961 40,17-16934 45 61056 50 18-07498 55 1 56447 60 19-08114 1908114 62730 20-20555 81883 21-47040 2216398 90377 23-69454 24-54176 30525 31850 33263 34773 36389 38119 39975 41973 ^7 '"V 25-45170 4J«-,26-43160 5166 :*::, 27-48985 1-63625 54616 57825 61328 65157 69358 73979 79077 84722 90994 97990 1-05825 1-14640 28-63'>25 29-88230 31-24158 32-73! 126 34-36777 36-17760 38-18846 40-435»4 42-96408 45-82935 49-10388 52-8821 1 57-28996 1-24605 1-35928 1-48868 1-63751 1-80983 2-01086 2-24738 2-52S24 2-8f.527 32T453 3-77823 4-40785 57-28996 62-49915 68-75009 76-39001 85-93979 98-21794 114-5887 137-5075 171 •88.54 229-1817 343-7737 687-5489 Infinite. 5-20919 6-25094 7-63992 9-54978 ]2"2782:^;^ l(i-3708 22-91.-8 34-3779 57-29()3 114-59-20 343-7752 Infinite. ' I . 30 I Diff. 1 20 Diff. II 10 I 'Natural Cotangents. Diff I 00 I Diff I TABLE THE AREAS OF THE ZONES OF A CIRCLE. 1 Versed Area of Sine. Segment. •00100 ■00200 •0U300 •00400 ■00500 ■OOGOO ■00700 ■00800 ■00900 ■01000 •OilOO •01199 •01299 •01399 •01499 ■01.599 ■01C99 ■01799 •01899 •01999 •02099 •02199 •02299 •02399 •02499 •02598 •02(598 •02798 •02898 •02998 •03098 •03197 •03297 •03397 •03497 •03596 •03096 03798 •03890 •03995 •04095 ■04195 •04294 ■04394 04494 •04593 •04693 ■07492 •04:^92 •04991 Versed Area of Sine. Segment. •051 •052 •053 •054 •055 •056 •057 ■058 ■0.59 •000 •061 •062 ■003 •064 ■065 •066 •067 •068 •069 •070 •071 •072 •073 •074 •075 •076 •077 •078 •079 •080 •081 •082 •083 •084 •085 •086 •087 •088 •089 •090 •091 ■092 093 ■094 •095 096 •097 ■098 099 •100 •0.5091 •05190 •05290 •05389 •05489 •05588 •05687 •05787 •05886 •05985 •06084 •06184 •06-283 •06382 •U6481 •06580 •06679 •06779 ■06878 •06977 •07076 •07175 •07-274 •07372 •07471 •07570 •07669 •07768 •07867 •07965 •08064 •08163 •08261 •08360 •08458 •08557 •08655 •08754 ■08852 ■08951 •09049 •09147 ■09246 ■09344 •09442 •09540 •09638 •09736 •09835 •09933 Area of Segment. •101 •102 •103 •104 ■105 •106 •107 •108 •109 •110 •111 •112 •113 •114 •115 •116 •117 •118 •119 ■120 •121 •1^22 •123 •124 •125 •126 •127 •128 •129 •130 •131 •132 •133 •134 •135 •136 •137 •138 •139 •140 •141 •142 •143 •144 •145 •146 •147 •148 •149 •150 •10030 •10128 •10226 •10324 •10422 •10520 •10617 •10715 •10813 •10910 •11008 •11105 •11203 •11.300 •11397 •11495 •11592 •11689 •11786 •11883 •11980 •12077 •12174 •12271 •12368 •12465 •12562 •1-2658 •12755 •12852 •12948 •13045 •13141 •13237 •13334 •13430 •13526 •13622 •13718 •13814 •13910 •14006 •14102 •14198 •14294 •14389 •14485 ■14581 ■14676 ■14771 Versed Area of Sine. I Segment. I •151 ■152 ■153 •154 •155 •1.56 •157 •1.58 •1.59 •160 •161 ■162 •163 •164 •165 ■166 •167 •168 ■169 •170 ■171 ■172 •173 •174 •175 ■176 ■177 ■178 •179 ■180 •181 •182 •183 •184 •185 •1^6 •187 ■188 •189 •190 •191 192 •193 •194 •195 •196 •197 •198 199 -200 •14867 •14962 •15057 •15153 •15248 •15343 •15438 •15533 •15627 •15722 •15817 •15911 •16006 •16101 •16195 •16-289 •16384 •16478 •16572 •16666 •16760 •16854 •16948 •17042 •17135 •17229 •17323 •17416 •17510 •17603 •17696 •17789 •17882 •17975 ■18068 •18161 •4S254 •18347 •18439 •18532 •18624 •18717 •18809 •18901 •18993 •19085 •19177 •1921)9 •19361 ■194.53 •201 •202 •203 •204 •205 •206 ■207 •208 •209 •210 •211 •212 ■213 ■214 •215 •216 •217 •218 •219 •220 •221 •222 •223 •224 •225 •226 •227 ■2-28 ■229 ■230 ■231 ■232 ■233 ■234 •235 •236 •237 •238 •239 •240 •241 •242 •243 •244 •245 •246 •247 248 •249 •2.50 1G8 AREAS OF THE ZONES 3F A CIRCLE Versed Area of Versed Area of Versed Area of Versed Area of Versed Area of Sine. Segment. Sine. Segment. Sine. Segment. Sine. Segment. Sine. Segment. •2.-il •24001 •301 •28167 •351 •31953 •401 •35242 •451 •37845 •252 •24088 •302 •28247 •352 •320iM •402 •35301 ■452 •37888 •253 •24174 •303 •28326 •353 •32095 •403 •35361 •453 •37930 ■2-vl •24200 •304 •28406 •354 •32166 •404 •35420 •454 •37972 •255 •24346 •305 •28485 •355 •32237 •405 •3.5479 •455 •38014 •25(5 •24432 •306 •285(i4 •356 •32307 •406 •35537 •456 •38055 •257 •24518 •307 •28643 •357 •32377 •407 •35595 •457 •38090 •25ri •24()04 •308 •28722 •358 •32447 •408 •35().53 •458 •38130 •251t •24090 •309 •28801 359 •32517 •409 •3.5711 •459 •38170 •2(iH •24775 •310 •28879 •360 •32586 •410 •35708 •4(50 •3821() •201 •24860 •311 •28958 •361 •32655 •411 •3.5825 •461 •38255 •202 •24946 •312 •29036 •302 •32725 •412 •3.5882 •462 •:i82y3 •203 •25021 •313 •29114 •3()3 •32793 •413 •35939 ■403 •38331 •264 •25116 •314 •29192 •364 •32862 •414 •35995 •464 •38369 •2()5 •25201 •315 •29270 •305 •32931 •415 •30051 •405 •:J8406 •2()6 •25285 •316 •29.347 •306 •32999 •416 •30107 •406 •38442 •2(57 •25370 •317 •29425 •367 •33067 •417 •301(52 •467 •38478 •268 •2r.4.54 •318 •29502 •368 •33135 •418 •3(5217 •408 •38514 •209 •25539 •319 •29579 •309 •33202 •419 •3(5272 •409 •38.549 •270 •25623 •320 •29056 •370 •33270 •420 •30326 •470 •38583 •27] •2.5707 •321 •29733 •371 •33337 •421 •36380 •471 •38617 •272 •25791 •3-22 ■29809 •372 •33404 •422 •36434 •472 •38050 •273 •25875 •3-J3 •29886 •373 •3:^470 •423 •30487 •473 •38083 •274 •25959 •324 ■29962 •374 •33.537 •424 •30541 •474 •38715 •275 •20042 •325 •30038 •375 •33603 •425 •30593 •475 •38746 •276 20126 •326 .30114 •376 •330(59 •426 •30040 •476 •38777 •277 20209 327 „ •30190 •377 •33735 •427 •30098 •477 •38808 •278 •26292 •3-28 ■302(i5 •378 •3:{801 •4-28 •30750 •478 •38837 •279 •2t)375 •329 •30341 •379 •3.3866 •429 •30801 •479 •38800 •2H0 •2(i458 •330 •30416 •380 •33931 •430 •30853 •480 •.38895 •281 •26541 ■331 •30491 •381 •33996 •431 •30904 •481 •38922 •2,^2 •26024 •332 •30566 •.382 •34060 •432 •30954 •482 •38949 •283 •20700 333 •30641 •383 •34125 •433 •37004 •483 •38975 •2.S4 •26788 •334 •30715 •384 •34189 •434 •37054 •484 •39001 •285 •20871 •335 •30789 •385 •34^253 •435 •37104 •485 •39026 •2«() •2(i953 •336 •30864 •386 •34317 •436 •37153 •486 •39050 •287 •27035 ■337 •30937 •387 •34380 •437 •37201 • •487 •39073 •288 •27117 •338 •31011 •388 •34443 •438 •372.50 •488 •39095 , •289 •27198 •339 •31085 •389 ■34506 •439 •37298 •489 •39116 •290 •27-J80 340 •31158 •390 •34569 •440 •37340 •490 •39137 •291 •27301 •341 •31231 •391 •34(531 •441 •37393 •491 •39156 •2i)2 •27442 •342 •31305 •392 •34094 •442 •37440 •492 •39174 •293 •27523 •343 •31377 •393 34756 443 •37486 •493 •39120 •294 •27604 ■344 •31450 •394 •34817 •444 •37533 •494 •39208 •295 •27685 345 31523 •395 •34879 •445 •37578 •495 •39222 •296 •27760 •340 •31.595 •396 •34940 •446 •37624 •496 •39236 S •297 •27846 •347 •31607 •397 •3.5001 •447 •37669 •497 •3^^248 •2'»8 •27927 •348 •31739 ■398 ■35061 •448 •37713 •498 ■392.58 •299 •28007 •349 •31811 •399 •35122 •449 •377.58 •4i)9 ■39265 •300 •28087 •350 •31882 •400 35182 1 •4.50 •37801 1 •500 ■39269 USE OF THE ABOVE TABLE. To FIND THE Area of a Circular 7.oyK.— Rule 1. When the zone is less tlmn a semicircle, divide the height by tlie longest chord, and seek the quotient in the cohimn of versed sines. Take out tlie corresponding area, in the next colbmn on the right hand, and multiply it by the square of tlie longest chord: the product will he the area of the zone. Example. Required the area of a zone, whose longest chord is 50, and height 15. 15 -r- .5I) = ^:500: mid ■.300, as per table, = ■28087. Hence, •28087 X 505 = 702^19, the area of the zone. Rule 2. When the zone is greater than a semicircle, take the height on each side of the diameter of the circle, and fiiui, by Rule 1, their respective areas: the areas of these two portions, added together, will be the area of the zone. TABLE OF THE AREAS OF THE SEGMENTS OF A CIRCLE, The Diameter of which is Unity, and supposed to be divided into 1000 e qual Parts. 000042 000119 000219 000337 000471 000619 000779 000952 001135 001329 001533 001746 001969 002199 002438 002685 002940 003202 003472 003749 004032 004322 004619 004922 005231 005546 005867 006194 006527 007209 007559 007913 008273 008638 009008 009383 009763 010148 010538 010932 011331 011734 012142 012555 012971 013393 013818 014248 014681 015119 015561 016008 016458 016912 017369 017831 018297 018766 019239 019716 020197 020681 021168 021660 022155 022653 023155 023660 024168 024680 025196 025714 026236 026761 027290 027821 028356 028894 029435 029979 030526 031077 031630 032186 032746 033308 033873 034441 035012 035586 036162 036742 037324 037909 038497 039087 039681 040277 040875 •JUl •102 •103 •104 •105 •106 •1U7 •108 •109 •110 •111 •112 •113 •114 •115 •116 •117 •118 •119 •120 •121 •122 •123 ■124 •125 •196 •127 •128 •129 •130 •131 •132 •133 •134 •135 ■136 •137 •138 •139 •140 •141 •142 •143 ■144 ■145 •146 •147 •148 •149 •150 •041477 •042081 •042087 •043296 •043908 ■044523 ■045140 •045759 ■046381 •047006 •047()33 •048262 ■048894 •049529 •050165 •050805 •051446 ■052090 •052737 •053385 •054037 •054690 055346 ■056004 •056664 •057327 •057991 •058658 •059328 •059999 •060673 •061349 •062027 •062707 •063389 •064074 •064761 •065449 •066140 .066833 •067528 •068225 •068924 •069626 •070329 •071034 •071741 •072450 •073162 •073875 •151 •152 •153 •154 •155 •156 •157 •158 •159 •160 •161 •162 •163 •164 •165 •166 •167 •168 •169 ■170 •171 •172 •173 •174 •175 •176 •177 •178 •179 •180 •181 •182 •183 •184 •185 •186 •187 ■188 •189 •190 •191 •192 •193 •194 •195 •198 •197 •198 •199 •200 074590 075307 076026 076747 077470 078194 078921 079650 080380 081112 081847 082582 083320 084060 084801 085545 086290 087037 087785 088536 089288 090042 090797 091555 092314 093074 093837 094601 095367 096135 096904 097675 098447 099221 099997 100774 101533 112334 103116 103900 104686 105472 106261 107051 107843 108636 109431 110227 111025 111824 201 202 203 ■204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 15 170 AREAS OF T H K SEGMKNTS OF k CIRCLE. •251 •154413 : •301 •252 •1552.S1 ■302 •253 •156149 1 •303 •254 •157019 •304 •255 -157891 •305 •256 •158763 ■306 •257 •159636 •307 •258 •160511 •308 •259 •161386 ■309 •260 •162263 •310 •261 •163141 •311 •262 ■164020 1 •312 •263 •1C4UU0 ■313 •264 •165781 •314 •2«)5 •166663 •315 •266 •167546 •316 ■207 •168431 1 •317 •268 •109316 •318 •269 •170202 •319 •270 •171(190 ■320 •271 •171978 ■321 •272 •172868 ■322 •273 •173758 ■323 •274 •174650 •324 •275 •175542 •325 •276 •176436 ■326 •277 •177330 •327 •278 •178226 •328 •279 •179122 ■329 •280 •180020 •330 •281 •180918 ■331 •282 ■181818 •332 •283 •182718 •333 •284 ■183619 ■334 •285 ■1845-22 ■335 ^•286 •185425 ■336 )-287 •186329 ■337 •288 •187235 ■338 •289 •188141 ■339 •290 •189048 ■340 •291 •189956 ■341 ) -292 ■190865 •342 ) -293 •294 •295 •191774 •343 •192685 ■344 •193597 345 ) -296 •194509 •346 •297 •195423 •347 ) •298 •196337 ■348 ) ^299 ■197252 349 )-300 •198168 ■350 •199085 •200003 •200922 ■201841 •2027t;2 •203683 •204605 ■205528 ■200452 •207376 •208302 •209228 ■210155 •211083 •212011 •212941 •213871 ■214802 •215734 •216666 •217600 •218534 •219469 •220404 ■221341 ■222278 ■223216 ■224154 ■225094 •226034 •226974 •2279 ]() ■228858 ■229801 •230745 ■231689 •232C)34 ■233580 ■234526 •235473 •2:i6421 237309 ■238319 ■239268 •240219 241170 •242122 ■243074 244027 ■244980 35i 352 353 354 355 356 357 358 359 360 361 362 303 364 265 366 367 368 369 370 371 372 373 374 375 276 377 378 379 380 381 382 3a3 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 •245935 •240890 ■247845 249758 250715 251673 252632 253591 254551 ■255511 ■256472 257433 ■258395 •259358 ■260321 ■261285 ■2(;2249 •263214 •264179 •265145 •2(J6111 •267078 •268046 ■268014 ■269982 ■270951 •271921 •272891 •273861 •274832 •275804 •276776 •277748 •278721 •279695 ■280669 ■281643 •282(518 •283593 •284569 ■285545 •286521 •287499 ■288476 •289454 •290432 291411 ■292390 •293370 •401 ■402 ■403 •404 •405 •406 •407 •408 •409 •410 •411 •412 •413 •414 •415 •416 •417 ■418 •419 •420 •421 •422 •423 •424 •425 ■426 •427 ■428 •429 •430 •431 •432 •433 •434 •435 •436 •437 •438 •439 ■440 •441 ■442 •443 ■444 ■445 ■446 •447 •448 •449 •450 •294350 •295330 •296311 ■297292 •2tJ8274 •299256 •300238 •301221 •302204 •303187 •304171 •305156 •306140 •307125 •308110 •309096 •310082 •311068 •312055 •313042 ■314029 •315017 •316005 •316993 •317981 •318970 319959 ■320949 •321938 •322928 ■332919 •324909 ■325900 ■326891 •327883 •328874 •329866 •330858 •331851 •332843 •333836 •334829 •335823 •336816 •3:^7810 •338804 ■339799 ■340793 ■341788 ■342783 ■451 ■452 ■453 ■454 ■455 1 •456 ■457 ■458 ■459 1 ■460 i ■461 ■462 •463 •464 •465 ■466 •467 •468 •469 ■470 •471 •472 •473 •474 •475 •476 •477 •478 •479 •480 •481 •482 •483 •484 •485 •486 ■487 ■488 •489 •490 •491 .492 ■493 •494 •495 •496 •497 ■498 ■499 ■500 •343778 ; ■344773 ) •345768 ) •346764 ) •347760 ; •346756 •3497.VJ •350749 •351745 ; •352742 ; •353739 ) •354736 ) ■355733 ) ■356730 ) •357728 ) ■3587-25 ) ■359723 ) ■360721 : ■3617 M' ■3(rJ7l7 ■3637! 5 ■3647.4 ; ■3(557 i-i , ■3()671I . •3()771(» ) ■3(i87t:'^ ) •3697U7 ) 37ll7;i6 ■, •3717i!5 . •37-2704 ■ •3737.4 ; •37471 .3 ) 376 /r2 ) •3777(>i •378701 ; ■3797(.l •38()7l.(t ■■ •,3817(;0 \ •382700 ( ■383700 \ "384699 ( •385699 ( •386699 ' •387699 ', •388699 •389699 I •390699 f •391699 / TABLE THE LENGTHS OF CIRCULAR ARCS WHOSE BASE IS UNITY. p^:r-r- ^--'"--^^-^"-^^ -^ir'V^ •--^r-^^ --'-^--"-^""-^^^ -^^■^.^^^^ "^-o^^-^ ^.^^^-v^^^-\ ■&I Length f,2 Length •&J Leng-th ^1 Lensih , ■?^l Leiig-lh ( ( '^^ ot Arc. Z"^ of Arc. ■-^ Lenslh i," Lensjth ^ o Lena-ih ^^ Length' ( ; %< of Arc. •s'< of Arc. -< ofAlc. 'I'-* of Arc. 'u"^ ol Aic. / ) K'B E'o — '"5. ffl-o _Kjo_ ) ) -100 10265 •J 30 10445 •i.^0 10669 •190 10936 22t) 11245 ) ) -101 10270 ■131 10452 •161 10678 ■191 1-0946 221 11256 ) ) -102 10275 •132 10458 •162 10686 •192 10956 •222 11266 S ) -103 1-0281 •133 10465 •163 10694 •193 10965 223 1-1277 ( ) -104 10286 •134 10472 -164 1 0703 •194 10975 224 1-1289 ( ) -105 10291 •135 10479 -165 10711 •195 10985 •225 1-1300 ) -106 10297 •136 10486 -166 1-0719 ■196 10995 •226 1 1311 ( ) -107 10303 •137 10493 -167 1-0728 197 11005 •227 1-1322 < •108 10308 •138 10500 •168 10737 ■198 1-1015 -228 1-1333 ( ) -109 10314 •139 10508 •169 10745 ■199 1-1025 •229 1-1344 ( ) -110 10320 •140 10515 •170 107.54 -200 1-1035 •230 1-13.56 ( ) -111 10325 •141 10522 •171 10762 •201 1-1045 ■231 11367 ( ) -112 10331 •142 10529 •172 10771 •202 110.55 ■232 1-1379 ( ) -113 10337 ■143 10537 •173 1-0780 •203 11065 •233 11390 ( •114 10343 •144 10544 •174 10769 •204 11075 •234 11402 s •115 10349 •145 10552 •175 10798 •205 11085 •235 1-1414 ^ 1-1425 ( -116 10355 •146 10.559 -176 10807 •206 11096 •236 V -117 103G1 •147 10567 -177 10816 •207 11106 -237 11436 ( \ -118 10367 •148 10574 -178 1-0825 •208 1-1117 •238 1-1448 ? I -119 10373 •149 10.582 •179 10834 •209 1-1127 •239 11460 / ( -120 10380 •150 10590 •180 1-0843 •210 1-1137 -240 11471 ; ( ^121 10386 -151 10597 •181 1.0852 •211 11148 -241 11483 ) •122 ( ^123 10392 •152 10605 •182 10861 •212 11158 -242 1-1495 ) 10399 •153 10613 •183 10870 •213 11169 -243 r 1.507 ) ( ^124 / -125 10405 ■1.54 10621 •184 1-0880 •214 11180 -244 11519 ) 10412 •1.55 1-0629 •185 10889 •215 1-1190 -245 1- 1.531 ) / ^126 10418 •1.56 10637 •186 10898 •216 11201 -246 1-1543 ( ( -127 10425 •157 10645 •187 1-0908 •217 11212 -247 1- 15.55 ( ? -128 10431 •1.58 106.53 •188 10917 •218 11223 ■248 1 1567 ( •129 10438 •159 1-0661 •189 1-0927 •219 11233 •249 1-157^ LENGTHS OF CIRCULAR ARCS, 175 f 2 Length -f £ Length of Arc. ■j-^ of Arc. •250 11591 -300 12250 ■251 1 1603 •301 12264 •252 11616 •302 r2278 •253 11628 •303 12292 •254 M640 •304 12306 •255 11653 -305 12321 •256 11665 •306 1-2335 •257 11677 •307 12349 •258 11690 -308 123(34 •259 11702 ■309 12378 •260 11715 -310 12393 •261 11728 •311 1-2407 •262 11740 -312 12422 •263 1-J753 ■313 12436 •264 11766 ■314 12451 •265 11778 ■315 12465 •266 11791 316 i-2m) •267 11804 •317 12495 •268 11816 318 12510 •269 11829 319 12.524 •270 11843 •320 12539 •271 11856 ■321 12.554 •272 11889 322 1-2569 273 1-1882 323 12584 •274 11897 •324 1-2599 •275 11908 •325 12614 •276 11921 ■326 12629 •277 11934 ■327 12644 •278 11948 •3-28 12659 •279 11961 •329 1-2674 •280 11974 •330 1-2689 •281 11989 ■331 12704 •282 1-2001 ■332 12720 •283 12015 ■333 12735 •284 1-2028 ■334 12750 •285 1-2042 •335 12766 •286 1-2056 •336 12781 •287 12070 •337 12786 •288 1-2083 •338 12812 •289 1-2097 •339 12827 ■290 12120 •340 r2843 •291 12124 ■341 12858 •292 12138 •342 1-2874 •293 1-2152 •343 1-2890 •294 12166 •344 12905 •295 1-2179 •345 12921 •296 1-2193 ■346 1-2937 •297 12206 •347 1-2952 •298 1-2220 •348 12968 •299 1-2235 •349 12984 13UU0 1-3016 130:52 13047 1^3063 13079 13095 1-3112 1-3128 1-3J44 13160 13176 13192 1-3209 13225 13-241 13258 13274 13291 1.3307 13323 13340 133.56 13373 13390 13406 13423 13440 13456 1-3473 1-3490 1-3507 13524 13541 1-3558 13574 13591 13608 1-3625 13043 1-3660 13677 1.3694 13711 13728 13746 13763 1-3780 1-3797 13815 1 3832 138.50 138()7 13885 13902 1-3920 13937 13955 13972 1-3990 14008 14025 1-4043 14061 1-4079 1-4097 14115 14132 14150 14168 1-4186 14204 1-422-2 1-4240 1-4258 1-4276 1-4295 14313 14331 14349 14367 14386 1-4404 1-4422 14441 1-4459 1^4477 1-4496 1-4514 14533 1-4551 1-4570 1-4.588 1-4607 1-4626 14644 1-4663 1-4682 1-4700 1-4719 ■£," Len-th ■z"^ of Arc. ac'o -450 1-4738 •451 147.57 •4.52 1-4775 •453 14794 •454 1-4813 •455 1-4832 •456 14851 •457 1-4870 •458 1-4889 •4.59 1-4908 •460 1-4927 •461 14946 •462 14965 •463 14984 •464 1-5003 •465 1-5022 •466 1-5042 •467 15061 •468 1^5080 •469 15099 •470 15119 ■471 15138 •472 151.57 •473 15176 •474 15196 •475 15215 •476 15235 •477 15254 •478 15-274 •479 15293 •480 15313 •481 15332 •482 153.52 •483 15371 ■484 15391 •485 15411 •486 15430 •487 15450 •488 15470 •489 15489 •490 1^5509 •491 1-5529 •492 1-5549 •493 15569 •494 15585 ■495 1-5608 ■496 1-5628 •497 1.5648 •498 l-56{i8 J ^409 15688 To riND THE Length of an Arc of a Circle by the foregoing Table. — Ride. — Divide the height by the base, and the quotient will be the height of an arc, of which the base is unity. Seek in the ttible for a number corresponding to the quotient, and take the length of thdt height from the next right-hand column. Multiply the number, thus found, by the base of the arc, and the product will be the length of the arc or curve required. Example. — The profiles of the intradoses of the arches of a bridge are each a semi- ellipse; the span of the middle arch is 150 feet, and the height 38 feet: required the length of the curve. 38-M50=r-253, and -253, as per table, =1^2628. Hence, 12628x150=174-4200, the length required. DEMONSTRATION OF THE PRISMOIDAL FORMULA, BY WHICH THE FOLLOWING SERIES OF TABLES WERE CALCULATED. Lkt ABCGFKDE (Fig. 1) represent a prismoid or solid figure, similar to that which is formed in excavations or embankments, in which BCDK represents the road-waj', and ABCG, FKDE parallel cross sections at each end. The cubic content of this solid is equal to the areas of each end, added to 4 times the mean area, and the sum multi- plied by the length of the prismoid divided by 6. i That IS, to the area ABCG -f area FKDE + 4 times the area a b c g, multiplied by CU_ ti Bisect the breadth of the road-way KD in the point O ; from the point O raise the perpendicular ON, which will represent the depth of cutting at the lower end of the section ; in the same manner bisect BC, in the point M, and raise the perpendicular ML, v,'hich will represent the depth of cutting at the upper end of the section ; on this perpendicular lay off from the point M, a distance MCi, equal to ON, the perjiendicular height of the lower end of the section ; through the point Q, draw the line HI jmrallel to BC, this line HI will be equal' to the line FE, as the planes are parallel, and the angles of the slopes ABC, BCG are supposed to be equal to the angles FKD, KDE. If, then, we suppose a plane HIEF to be drawn through the lines HI and EF, it will be parallel to the base BCKD, and will divide the solid ABCGFKDE into two others, one of which will be the regular prism HBCIFKDE, and the other will be a wedge, the base of which will be the trapezium AIHG, the length IE or CD the length of the prismoid, and the edge FE the breadth of the cutting at the lower end of the section. This wedge may be divided by the vertical plane AHE into the two pyramids AHIGE and AHEF, the base of the first being the trai)ezium AHIG, and its height the line IE or CD, the length of the prism. The base of the other is the triangle FEH, and its height a perpendicular AR let fall from the vertex A to the plane HIEF. The solid content of the prismoid will therefore be equal to the content of the regular prism HBCIFKDE, and the two pyramids AHIGE and AHEF. Let BC = b, the breadth at the bottom of the cutting. ML = A, the perpendicular depth of cutting at the higher end. ON or M(i=:7i', the perpendicular depth of cutting at the lower end. CD = l. the length of the solid. PI = rA', the ratio of the perpendicular height of the slope to its horizontal base, multiplied by the height MQ. or ON. THE PRISMOIDAL FORMULA, 177 Then the content of the prism HBCIFKDE will be equal to the area of the end FKDE or HBCI, multiplied by CD; or to BC -j- PI X MQ X CD, = 6 -f A r X A' X ^. The content of the pyramid AHIGE is equal to the area of its base AHIG, multiplied by J its height IE ; or to [(6 -|-rA)A— (ft +r/t',)A'] 1 for the area of AHIG is equal to the difference of the areas of the ends ABCG and FKDE. And the content of the pyra- mid AHEF is equal to the area of the triangle HEF, X ^ AR, or to ^EF X HF X jAR , h-h' 2 • '"1" La=/i— A', PRISMOIDAL DIAGRAM a!. The content of the prismoid ABCGFKDE, as seen in the above diagram, will there- fore equal the sum of these three quantities ; that is, = (J + rh') A' X ^ + [(6 + J-A) A - (6 -f rh') A'] '^ +i+|l^-lx I X ^^- = [3 (& + tK) A' + (6 + rh) A - (6 + rA') A' + ^±|'^^-+ A-A'] 3 = [2 ib + rh') A' + (& + rA) h +ld^l^^-X=F] ^ = (4 (J + rA-') A' + 2 (6 + rA) A + (J+ 2rA') (A— A')] ^ = [46A' + 4rA'S + 2AA + 2rA2 + 6A + 2r]th' —hh' — 2rA'S] \ = [2bh' + 2rA'i + 2JA + 2rAS + 2rAA'] ^ = [26A' + 5A' + rh'l + rA'§ + 26A + 6A + rA§ + rA§ + 2rAA'] ^ = [(* + rA') A' + (d + rA) A + 2&A + 2*A' + rA'§ + rA§ + 2rAA'] ^ = [(&+rA')A' + (6 + rA)A + 4[6 + r^±^'j^+A']^ = area of each end, added to four times the middle area, and the sum multiplied by the length divided by 6. EXPLANATION OF THE SERIES OF EXCAVATION TABLES Every practical Engineer is well aware, by experience, of the inconvenience which arises from the length of time necessary for calculating the cubic quantity of earth- work in the cuttings and embankments of railroads, &c. ; especially where the section is of considerable extent and the surface of the ground uneven. Frequently, calcula- tions of this kind are reijuired of the engineer on a short notice, and to be furnished within a limited period. The consequence is, that errcjrs are almost sure to occur, by reason of the multiplicity of figures necessary to complete the task, though the calcula- tions themselves are perfectly simple. The following series of tables have been constructed with the view of saving time in making these calculations, and insuring accuracy in the results. Besides these advan- tages, they may serve another purpose, viz: that of satisfying contractors that the estimates of their respective engineers correspond with authentic tables. The FIRST SERIES of Tables exhibit the number of cubic yards contained in any cutting or embankment for ove chain in length, the bases varying from 27 to 35 feet; the sides of slopes being 1 to 1, l.\ to 1, and 2 to 1. The depths of cuttings will be found in the fir:^t and eighth column of the tobies, in feet and quarters of a foot, and the number of cubic yards of earth in the several cuttings or embankments will be found directly at the right of the depth of the cutting, and under the width of the base corresponding to snid cutting. The seventh and last coluinn in each tabic, headed "One perpendicular foot in height," exhibits the number of cubic yards contained in one chain in length and one perpendicular foot in breadth. Should, therefore, any excavation or embankment be either less or more than the base or rond-bed in the tables, the cubic contents may be readily found by adding to or subtracting from the quantity set opposite the table-breadths the quantity in the seventh or last columns for every foot in breadth it may differ from the table-breadtlis. Thus, to find the cubic content of a chain in length, of cutting "0 feet 3 inches deep, side of slopes IJ to 1, and breadth of base or rond-bed 25 feet: By the table, 24 feet in breadth contains . 2692' cubic yards. And 1 foot in breadth contains .... -f-49'50 " 2741-50 " In th -5556 30 16-6680 :16-667 33-3350 : 800 26668-0000 These products, collected, ill be as follows: A =25,555-50 B = 35,972-40 C = 29,689-54 D = 13,333-95 E = 13,2-22-02 F = 26.668-00 The sum of which is 144,441-41 = the true quantity in cubic yards EXCAVATION TABLES. 181 EXAMPLE n. Let abcde (Fig: 3) represent the ground-line or longitudinal section of part of a canal, as seen in the figure below : SECTION or A CANAL. Fig. 3. and abed efg h {Fig. 4) a cross section of the same canal at c. The dimensions of the canal, below the level of the towing-path, are supposed to be uniform, and as follows : Width at the bottom of the canal, 16 feet ; the slopes 1 to 1, and depth (from the level of the towing-path to the bottom of the canal) 6 feet ; and the whole length of the section 2200 feet. CROSS SECTION OF THE CANAL AT C. Fig. 4. Examine the third series of tables, and find the table corresponding to the given slopes, which in this case is 1| to 1 ; look along the upper line of the page for the given depth below the level of the towing-path, which in this example is 6 feet ; next look along either of the side vertical columns for the same depth, 6 feet; at the intersection of these lines, there will be found in the column of multipliers the number -2222, and in the column of additions the number 1-333. Set these numbers down, and multiply the given base by the multiplier, and to the product add the number taken from the addition column; the sum will be the mean area, which is to be multiplied by the length of the section for the content in cubic yards. Thus : Table multiplier . Base •2222 'le 13332 Add . Length of section . 3-5552 . . =1-333 4-8882 . . . = 2200 9776400 97764 Cubic yards . . =10,7540400 16 182- EXCAVATION TABLES. As the width at the bottom of the canal is 16 feet, the slopes 1 to 1, and the depth 6 feet, the width from bank to bank, at the level of the towing-path, or from e to/, will be 28 feet, and the whole width of cutting, at the same level from b iog, will be 42 feet. Observing now that the depths of cuttings marked on the vertical lines ab c de of Fig. 3, are supposed to be to the surface of the water, which is 1 foot below the towing- path ; it will therefore be necessary to subtract 1 foot from each of these heights in looking for the tabular number. The calculations will therefore be as follows : TABULAR NUMBER. Heights. Mult. Add. A= 3 ... 24 . . . 0-5000 12-167 B = 24 . . .44 . . . 1-2593 66-074 C =r 44 . . . 14 . . . 10741 50-889 D = 14 . . .11 . . . 0-4630 8-722 Mult. Base. Add. Leng^th. Cubic yards. 0-5000x42 + 12167 X 100= 3,316-70 1-2593 X 42 + 66074 X 1000 = 118,964-60 1-0741 X 42 + 50-889 X 800 = 76,800-96 04630 X 42 +' 8-722 X 300= 8,450-40 Cubic content above the level of t}ie towing-path = 207,532-66 Cubic content below the level of the towing-path, as before found, 10,754-04 Total content of section . . . . = 218,286-70 Observe. — Should the depth of cutting on one side of the section exceed the numbers at the top or bottom of tiie page, but not on the otiier, the highest number must in that case be sought for in either of the side vertical columns, and the lowest at the top or bottom of the page. Thus, 44 feet in the vertical colunm, and 14 feet in the horizontal, gives the same result as 14 feet in the horizontal and 44 feet in the vertical. Should the depth of cutting e.\ceed 50 feet the first series of tables must be used. TABLES EXCAVATION AND EMBANKMENT. TABLE I.— FIRST SERIES, Side of Slopes, 1 Horizontal, to each Perpendicular Foot. 66 FEET CHAIN, J Depth ( of cut- BREADTH OF BASE. One Depth BREADTH OF BASE. T"i perpend, foot in of cut- perpend. ) foot in ( 1 ! 1 tin^. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. cu.y. breadth. ting. 24 ft. 27 ft. 30 ft, cu.v. 1 cu.v. 33 ft. cu .y. 36 ft. cu.y. breadth. (J ( ft. in. cu.y. cu.v. cu.y. cu.y. cu. vds. ' ft. in cu. yds. ( 26-89 { 10 61 68 76 83 90 2-44 110 '941 1022 1102 1183 1264 13 77 86 96 105 114 306 113 969 1052 1134 1217 1299 27-50 ( 16 94 105 116 127 138 367 116 998 1082 1167 J251 1335 28-11 ( 19 110 123 136 149 162 4-28 119 1027 1113 1199 1285 1371 28-72 ( ( 20 127 142 156 171 186 4-89 12 1056 1144 1232 1320 1408 29-33 ) 23 144 161 177 194 210 5-50 12 3 1086 1175 1265 1355 1445 29-94 ) 26 162 180 199 217 235 611 12 6 1115 1207 1299 1390 1482 30-55 ) 29 180 200 220 240 260 6-72 12 9 1145 1239 1332 1426 1519 31-17 ) J 30 198 220 242 264 286 7-33 13 1176 1271 1366 1462 1557 31-78 ( ) 33 217 240 264 288 312 7-94 13 3 1206 1304 1401 1498 1595 32-39 ( ) 36 235 261 287 312 338 8-55 13 6 1238 1337 1436 1535 1634 33- ( ) 39 254 282 309 337 364 917 .13 9 1269 1370 1470 ], 571 1672 33-61 ) 40 274 303 332 362 391 9-78 14 1300 1403 1506 1608 1711 34-22 . 43 293 325 356 387 418 10-39 14 3 1332 1437 1541 1648 1750 34-83 ) > 46 314 347 380 413 446 11- 14 6 1365 1471 1577! 1684! 1790 35-44 ) 49 334 369 403 438 473 11-61 14 9 139711.505 1614 1722 ,1830 36-06 50 354 391 428 464 501 12-22 15 1430 1.540 16,50 1760 1870 36-67 ( 53 375 414 452 491 529 12-83 15 3 1463 1575 1687 179911911 37-28 ( 56 397 437 477 518 558 13-44 15 6 1497 J610 1724 1838 1951 37-89 ( 59 418 460 503 545 587 14-06 15 9 1530 1646 1761 1877 1992 38-50 ( 60 440 484 528 572 616 14-67 16 1564 1682 1799 1916 2034 39-11 J 63 462 508 554 600 646 15-28 16 3 1.59911718 1837 195612075 39-72 ) 66 485 532 580 628 675 15-89 16 6 1634 1755 18761 199712118 40-33 69 507 557 606 656 705 16-50 16 9 1669 1791 1914 2037 2160 40.94 ) 70 530 582 633 684 736 17-11 17 1704 1828 1953 207812202 41-55 73 554 607 660 713 766 17-72 17 3 173911866 1992 211912245 42-17 76 578 633 688 743 798 18-33 17 6 177511904 2032 2160 2289 42-78 < 79 602 658 715 772 829 18-94 17 9 1811 1942 2072 2202 2332 43-39 ( 80 626 684 743 802 860 19-55 18 1848 1980 2112 2244 1 2376 44- J 83 650 711 771 832 892 20-17 18 3 188512019 2152,2286 2420 44-61 ) 86 675 738 800 862 925 20-78 18 6 192212058 2193 2329 2465 45-22 > 89 700 765 829 893 957 21-39 18 9 195912097 2234,2372 2509 45-83 ) 90 726 792 858 924 990 22- 19 1997 2136 227612415 2.554 46-44 < 93 752 820 887 955 1023 22-61 19 3 203512176 2318 2459 2600 47-06 96 778 848 917 987 1057 23-22 19 6 207412217 2360 2.503 2646 47-67 99 804 876 947 1019 1090 23-83 19 9 2112 2257 2402^2547 2692 48-28 J 10 831 904 978 1051 ' 1124 24-44 20 2151 2398 2444 '2591 2738 48-89 I 10 3 858 933 1009 1084 1159 2506 20 3 2190 2.339 2487 2636 2784 49-50 ) 10 6 886 963 1040 11171 1194 25-67 20 6 2230 2380 25312681 2831 50-11 ) 10 9 913 992 10711 1150 1229 26-28 20 9 22701 24221 2574 2726 28781 .50-72 ) EXCAVATION AND EMBANKMENT. TABLE II.— FIRST SERIES. Side of Slopes, IJ Horizontal, to each Perpendicular Foot. 66 FEET CHAIN. Depth BREADTH OF BASE. One Depth BREADTH OF BASE. One j perpend, foot in of cut- perpend.. ) foot in \ 1 of cut- tin-. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ting. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ( ft. in. cu.y. cu.y. cu.y. cu y cu.y. cu. yds. ft. in cu.y. cu V cu.y. cu.y. cu.y. cu. yds. ( 10 62 70 77 84 92 2-44 110 1089 1170 12.50 1331 1412 26-89 ( 13 79 88 97 107 116 306 113 1124 1207 1289 1372 1454 27-50 ( 16 96 107 118 129 140 3-67 116 1160 1244 1328 1413 1497 28-11 ( 19 114 127 140 152 165 4-28 119 1196 1282 1368 1454 1540 28-72 ( ( 20 132 147 161 176 191 4-89 12 12.32 1320 1408 1496 1.584 29-33 i ( 23 151 167 184 200 217 5-50 12 3 120!) 13.59 1449 1.538 1628 29-94 ) ( 26 170 188 200 225 243 611 12 6 1300 ],' 149U 1581 1673 30-55 ( 29 189 209 229 250 270 6-72 12 9 1344 1438 1531 1025 1718 31-17 •J 3 209 231 253 275 297 7-33 13 138-2 1478 1573 1()08 1764 31-78 ( ) 3 3 229 2.53 277 301 325 7-94 13 3 14-J] I.-)1H 1015 J713 1810 .32-39 ) 36 2.')0 276 302 327 353 8-55 13 6 1400 1.5.59 10.5,-! 1757 1856 33- ( ) 39 272 299 327 354 382 917. 13 9 1500 1001 1702 1802 1903 33-61 J ( 40 293 323 352 381 411 9-78 14 1540 1643 1745 1848 1951 34-22 J I 43 316 347 378 409 440 10-39 14 3 1.581 lt)85 1790 1894 1999 34-83 ) ( 46 338 371 404 437 470 11- 14 6 16-22 1728 1834 1941 2047 35-44 ) j 49 361 396 431 466 501 11-61 14 9 1663 1771 1879 1988 2096 36-06 ) ) 50 385 422 458 495 532 12-22 15 1705 1815 1925 2035 2145 36-67 ( ) 53 409 448 486 525 563 12-83 15 3 1747 1859 1971 2083 2195 37-28 ( ) 5 6 434 474 514 555 595 13-44 15 6 1790 1904 2018 2131 2245 37-89 ( j 59 459 501 543 585 627 14-06 15 9 1834 1949 2065 2180 2296 38-50 j ! 60 484 528 572 616 660 14-67 16 1877 1995 2112 2229 2347 39-11 > i 63 510 55G 602 647 693 15-28 16 3 1922 2041 2160 2279 2398 39-72 ) \ 66 536 584 632 679 727 15-89 16 6 1906 2087 2208 2329 2450 40-33 ) ? 69 563 613 662 712 761 16-50 16 9 2011 2134 2257 2:J80 2503 40.94 ) { 70 590 642 693 744 796 1711 17 2057 2182 •2306 2431 2556 41-55 I ) 73 618 671 724 778 831 17-72 17 3 2103 2230 2;Jo6 2483 2009 42-17 ( ) 76 646 701 756 811 860 18-33 17 6 2150 2278 2406 2535 2063 42-78 J 79 675 732 789 845 902 18-94 17 9 2197 2327 2457 2587 2717 43-39 i 80 704 763 821 880 939 19-55 18 2214 2370 2508 2640 2772 44- i ( 83 734 794 855 915 970 20-17 18 3 2292 24-JO 2500 2093 2827 44-61 ) / 86 764 826 888 951 1013 20-78 18 6 2340 2476 2612 2747 2883 45-22 ) ) 89 794 858 922 987 1051 21-39 18 9 2389 2,527 2664 2802 2939 45-83 > 9 825 891 957 1023 1089 22- 19 2438 2578 2717 2856 2996 46-44 ] ( 93 856 924 992 1000 1128 22-61 19 3 2488 2629 2770 29] 2 3053 47-06 ( { 96 888 958 1028 1097 1167 23-22 19 6 2538 2()81 2824 2967 3110 47-67 ( J 99 921 992 1064 1135 1207 23-83 19 9 2589 2734 2879 3023 3168 48-28 ( 10 953 1027 1100 1173 1247 24-44 200 2640 2787 2933 3080 3227 48-89 10 3 987 1002 1137 1212 1287 25-06 203 2692 2840 2989 3137 3286 49-50 ) 10 6 1020 1097 1174 1251 1328 25-67 20 6 2744 2894 3044 3195 3345 50-11 (li 1U54 11331 12121 1291 1370 26-28 209 2796 2948 3100 3253 3405 50-72 ' TABLE II. SLOPES IJ TO 1. 185 1 Depth f ofcut- BREADTH OF BASE. One Depth BREADTH OF BASE. One ) perpend, foot in of cut- perpend. ) toot in ( 1 ) ti.i^. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ting. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ( 1 ) ft. in. cn.y. cu.v- cu.y. ^ ci.y. CU. Vl-ls. ft. in cu.y. CU. y. cu.y. CU .y. cu.yds.; ) 210 2849 3003 3157 3311 3465 51'33 310 5342 5570 5797 6024 6252 75-78 ) 213 2902 3058 3214 3370 3526 51-94 313 5414 5643 5872 6102 6331 76-39 { ) 216 2956 3114 3272 3429 3587 52-55 316 5486 5717 5948 6179 6410 77- ) 219 3011 3170 3330 3489 3649 5317 319 5559 5792 6025 6257 6490 77-61 22 3065 3227 3388 3549 3711 53-78 32 5632 5867 6101 6336 657] 78-22 ) 22 3 3121 3284 3447 3610 3773 54-39 32 3 5706 5942 6179 6415 6652 78-83 ) 22 6 3176 3341 3506 3671 3836 55- 32 6 5780 6018 6256 6495 6733 79-44 () 23 9 3232 3399 3566 3733 3900 55-61 32 9 5854 6094 6334 6575 6815 80-06 ) ; 23 3289 3458 3626 3795 3964 56-22 33 5929 6171 6413 6655 6897 80-67 ) ) 23 3 3346 3517 3087 3858 4028 56-83 33 3 6004 6248 6492 6736 6980 81-28 ( f 23 6 3404 3576 3748 3921 4093 57-44 33 6 6080 6326 6572 6817 7063 81-89 ( I 23 9 3462 3636 3810 3984 4158 58-06 33 9 6157 6404 6622 6899 7147 82-50 I ' 24 3520 3696 3872 4048 4224 58-67 34 6233 6483 6732 6981 7231 83-11 j 24 3 3579 3757 3935 4112 4290 59-28 34 3 6311 6562 6813 7064 7315 83-72 ) 24 6 3638 3818 3998 4177 4357 59-89 34 6 6388 6641 6894 7147 7400 84-33 ) ; 24 9 3698 3880 4061 4243 4424 60-50 34 9 6466 6721 6976 7231 7486 84-94 \ ) 25 3758 3942 4125 4308 4492 61-11 35 6545 6802 7058 7315 7572 85-55 ( 2.5 3 3819 4004 4189 4375 4560 61-72 35 3 6624 6883 71417400 7658 86-17 / 25 6 3880 4067 42.54 4441 4628 62-33 35 6 6704 6964 7224 7485 7745 86-78 / ■z'^ 3942 4131 4320 4508 4697 62-94 35 9 67S4 7046 7308 7570 7832 87-39 j 28 4004 4195 4385 4.576 4767 63-55 36 6864 7128 7392 7658 7920 88- 5 . 26 3 4067 4259 4452 4644 4837 6417 36 3 6945 7211 7477 7742 8008 88-61 ( 26 6 14130 4324 4518 4713 4907 64-78 36 6 7026 7294 7562 7829 8097 89-22 ( 26 9 4193 4389 4585 4782:4978 65-39 36 9 7108 7378 7647 7917 8186 89-83 J 27 4257 4455 4653 48515049 66- 37 7190 7462 7733 8004 8276 90-44 J 27 3 4321 4521 4721 4921 5121 66-61 37 3 7273 7546 7819 8093 8366 91-06 27 6 4386 4588 4790 4991 5193 67-22 37 6 7356 7631 7906 8181 8456 91-67 27 9 4452 4iJ55 4859 5062 5266 67-83 37 9 7440 7717 7994 8270 8547 92-28 ) 280 4517 4723 4928 5133 '5339 68-44 38 7524 7803 8081 8.360 8639 92-89 \ 28 3 4584 4791 4998 5205 5412 6906 38 3 7609 7889 8170 8450 8731 9350 ( 28 6 4650,4859 5068 5277 5486 69-67 38 6 7694 7976 8258 8541 8823 94-11 ( 23 9 4717 4928 5139 .5350 5561 70-28 38 9 7779 8063 8347 8632 8916 94-72 ( 29 j4785 4998 5210.5423 5636 70-89 39 7865 8151 8437 8723 9009 95-33 29 3 [4853 5068 .5282 5497 5711 71-50 39 3 7951 8239 8527 8815 9103 95-94 29 6 4922 51.38 5354 5571 5787 *211 39 6 8038 8328 8618 8907 9197 96-55 29 9 4991 5209 5427 5645 5863 72-72 39 9 81-26 8417 8709 9000 9292 97-17 30 5060 5280 5500 5720 5940 73-33 40 8213 8507 8800 9093 9387 97-78 30 3 5130 5352 :)574 5795 6017 73-94 40 3 8302 8597 8892 9187 9482 98-39 30 6 5200 5424 5648 58716095 74-55 40 6 8390 8687 8984 9281 9578 99- ( 30 9 527^5497 .5722 5948 6173 75-17 40 9 8479 8778 9)77 9376 9675 ^9;6]J 16^ EXCAVATION AND EMBANKMENT. TABLE III. — FIRST SERIES. Side of Slopes, 2 Horizontal, to each Perpendicidar Foot, 66 FEET CHAIN, } Depth BREADTH OF BASE. One Depth BREADTH OF BASE. One j 1 ofcut- perpend, foot in of cut- perpend. ) toot in ) 1 j tin?. 24 ft. 27 ft. 30 ft. 1 1 33 ft. 36 (u 1 breadth. ting. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ( ; ft. in. cu.y. cu.v. 'cu.y. (5u.y.]cu.y. cu. yds. ft. in on.y. cu V eu.v. cu.y. cu.y. cu. yds. ) ) 10 64 71 78 86 93 2-44 110 1237 1318 1398 1479 1560 26-89 ) 13 81 90 99 109 118 3-06 113 1-279 13(;i 1444 1526 1609 27-50 ) 16 99 110 121 132 143! 3-67 11 6 J32J 1406 1490 1574 1659 28-11 19 118 130 143 156; 169: 4-28 119 13.64 1450 1537,1623 1709 28-72 ( 20 137 152 166 181 ' 196' 4-89 12 1408 1496 1584 1672 1760 29-33 ( 23 157 173 190 206 2-23 5-50 12 3 1452 1542 1632 1722 1812 29-94 ( 26 177 196 214 232 251 i 6-11 12 6 1497 1589 1681 1772 1864 30-55 ) I 29 198 218 239 259 279 6-72 12 9 1543 1636 1730 18-23 1917 31-17 ) 30 ) 3 3 220 242 264 286 308 ■ 7-33 13 1.589 1684 1780 1875 1970 31-78 ( 24-2 26(5 290 314 3:w 7-94 13 3 1636 1733 18:<0 19-27 2024 32-39 K ) 36 265 291 317 342 368 8-55 13 6 168:J 17S2 1881 1980 2079 33- ( S 39 2«y 316 344 371, 399 9-17 13 9 1731 1832 1933 2033 2134 33-61 J ( 40 313 342 372 401! 430 ! 9-78 14 1780 1882 19S5'2088 2190 34-22 ( 43 338 369 400 4311 462 10-39 14 3 1829 1933 2038 2142 2247 34-83 / 46 363 396 429 4(i2' 495 11- 14 6 1879 1985 2091 2198 2304 35-44 j 49 389 424 459 493 5-28 11-61 14 9 19-29 •2037 2145 22.54 •2362 36-06 ) ) 50 416 452 489 526 562 12-22 15 T.W) 2090 ■2-200 2310 2420 36-67 ( ) 5 3 443 481 5-21) 558 597 12-83 15 3 2():{2 2i4;{ 2255 2367 •2479 1 37-28 { ) 56 471 511 551 592 632 13-44 15 6 2081 21 9-' •2311 ■24^25 2:>:!9 37-89 ( -2599 38-50 ) 59 499 541 583 626 668 14-06 15 9 2137 2252 2368 2483 60 528 572 616 660 704 14-67 16 219(1 230-^ 24-25 2542 '2660 39-11 > 63 558 603 649 695 741 15-28 16 3 22-14 •23ti3 -2483 2502 2721 39-72 / 66 538 636 683 731 779 15-89 16 6 2299 2420 2541 2662 2783 40-33 ) 69 619 668 718 767 817 16-50 16 9 2354 2477 2600 2723 2846 40.94 ) ( 70 650 702 753 804 856 17-11 17 2410 2535 2660 2784 2909: 41-55 ( ■2973; 42-17 ) 3037 1 42-78 { 3102i 43-39 ( { 73 682 7.351 789 842 895 17-72 17 3 24(i7 2593 2720 2^46 ( 76 715 770 825 880 935 18-33 17 6 2r.-J4 2i;52 -2781 29(19 J 79 748 805 862 919 976 18-94 17 9 2582 ■2712 •2842 2972 i 80 782 841 900 958 1017 19-55 18 2640 2772 2904 3036 3168 44- 'l 83 817 877 938 998 1059 20-17 18 3 2699 28.33 291)7 3100 3234 44-61 ) 86 852 914 977 1039 1101 20-78 18 6 2759 •2894 3030 3166 3301 4.5-22 X ) 89 888 952 1016 1080 1144 21-39 18 9 2819 2956 3094 3231 3369 45-83 / 46-44 I ] 90 924 990 1056 1122 1188 22- 19 2830 3019 31.58 3-298 3437 { 93 i 961 1029 1097 1164 1232 2-2-61 19 3 2941 3082 3223 3365 3506 47-06 S ( 96 999 1068 1138 1208 1277 23-22 19 6 3003 314() 3289 .3432 3575 47-67 ( 99 1037 1108 1180 1251 13-23 23-83 19 9 30ti() 3210 3355 3500 3645 48-28 j > 10 1076 1149 1222 1296 1369 24-44 20 3129 3-276 34-22 3569 3710 48-89 J 10 3 1115 119: 1265 1341 1416 25-(»6 20 3 3193 3341 3490 3638 3787 49-50 / 10 6 1155 1232 1309 1386 1463 25-67 20 6 3257 3408 3558 3708 3859 50-11 I 10 9 1196' 1274 i:i53 1432 1511 26-28 20 9 3322 3474 3627 3779 3931 50;72j TABLE III. — SLOPES 2 TO 1. 187 1 Depth BREADTH OF BASE. One Depth BREADTH OK BASE. One ' ofcut- perpend, fool in of cut- perpeiiJ.C foot in ( (, iius. 24 ft. 27 ft. 30 ft. 33 ft. 36 ft. breadth. ting, ft. in 24 ft. 27 ft. 30 ft. 33 ft. breadth./ ) ft. in. cu V cu. V. - cu y. cu.v. 11. y. cu. yds. cu. y. cu. V. cu. V. cu.y. cu. yds.? ( 21 3388 3542 3696 3850 4004 51-33 340 7646 7896 8145 8394 83-11 213 3454 3610 3766 3922 4078 51-94 34 3 7744 7995 8247 8498 83-72 ( ( 216 3521 3679 3837 3994 4152 52-55 34 6 7843 8096 8349 86112 84-33 ( J 219 3589 3748 3908 4067 4227 53-17 34 9 7942 8197 8452 8707 84-94 j I 22 3657 3818 ^80 4141 4302 53-78 35 8042 8299 8556 8812 85-55 J ) 22 3 3726 3889 4052 4215 4378 54-39 35 3 8143 8401 8660 8918 86-17 > 3795 3960 4125 4290 4455 55- 35 6 8244 8504 8765 9025 86-78 ) ' 22 9 3865 4032 4199 4365 4532 55-61 35 9 8346 8608 8870 9132 87-39 ) ) 23 3936 4104 4273 4442 4610 56-22 36 8448 8712 8976 9240 83- ( ) 23 3 4007 4177 4348 4518 4689 56-83 36 3 8551 8817 9083 9348 88-61 ( ) 23 6 4079 4251 4423 4596 4768 57-44 36 6 8655 8922 9190 9458 89-22 ( S 23 9 4151 4325 4499 4674 4848 58-06 36 9 8759 9028 9298 9567 89-83 ( J 24 4224 4400 4576 47.52 4928 58-67 37 8864 9135 9406 9678 90-44 J 24 3 4298 4475 4653 4831 5009 59-28 37 3 8969 9242 9.515 9789 91-06 ', 24 6 4372 4552 4731 4911 5091 59-89 37 6 9075 9350 9625 9900 91-67 ) 24 9 4447 4628 4810 4991 5173 60-50 37 9 9182 9458 9735 10012 92-28 ) 25 4522 4706 4889 5072 5256 61-il 38 9289 9568 9846 10125 92-89 ( 25 3 4598 4783 4969 51.54 5339 61-72 38 3 . 9397 9677 9958 10238 93-50 / 25 6 4675 4862 5049 5236 5423 62-33 38 6 9505 9788 10070 103.52 94-11 1 25 9 4752 4941 5130 5319 5508 62-94 38 9 9614 9898 10183 10467 94-72 j 26 4830 5021 5212 5402 5593 63-55 39 9724 10010 10296 10582 95-33 ) 26 3 4909 5101 5294 5486 5679 6417 39 3 9834 10122 10410 10698 95-94 26 6 4988 5182 5377 5571 5765 64-78 39 6 9945 10235 10525 10814 9(5-55 26 9 5068 5264 5460 5656 5852 65-39 39 9 10057 10348 10640 10931 97-17 27 5148 5346 5544 5742 5940 66- 40 10169 10462 10756 11049 97-78 I 27 3 5229 5429 5629 5828 6028 66-61 40 3 1028i} 10.577 10872 11167 98-39 ( 27 6 5311 5512 5714 5916 6117 67-22 40 6 10395 10692 10989 11286 99- j 27 9 5393 5596 5800 6003 6207 67-83 40 9 10509 10808 11107 11405 99-61 < 28 5476 .5681 5886 6092 6297 68-44 410 10624 10924 11225 11.520 100-22 ( 28 3 5559 5766 5973 6181 6388 69-06 ~ 413 10739 11041 11344 11646 100-83 ( 28 6 5643 .58.52 6061 6270 6479 69-67 416 10855 11159 11463 11768 101-44 ) ( 289 5728 5938 6149 6360 6571 70-28 419 10971 11277 11583 11890 102-06 102-67 ; 29 5813 6026 6238 6451 6664 70-89 42 11088 11396 11704 12012 ) 29 3 5899 6113 6328 6542 6757 71-50 42 3 11206 11.515 11825 12135 103-28 ) 29 6 5985 6202 6418 6634 6851 72-11 42 6 11324 11636 11947 12-259 103-89 j 29 9 6072 6290 6509 6727 6945 72-72 42 9 11443 11756 12070 12383 104-50 ( 30 6160 6380 6600 6820 7040 73-33 43 11562 11878 12193 12508 105-11 ( 30 3 6248 6470 6692 6914 7136 73-94 43 3 11682 12000 12317 12634 105-72 30 6 63.37 6561 6785 7008 7232 74-55 43 6 11803 12122 12441 12760 100-33 ( 30 9 6427 6652 6878 7103 7.329 75-17 43 9 11924 12245 12566 12887 106-94 ) 310 6517 0744 6972 7199 7426 75-78 44 12046 12369 12692 13014 107-55 ( ) 313 6608 6837 7066 7295 7524 76-39 44 3 12169 12493 12818 13142 108-17 I ) 316 6699 6930 7161 7392 7623 77- 44 6 12292 12618 12945 13271 108-78 { j 319 6791 7024 7257 7489 7722 77-61 44 9 12416 12744 13072 13400 109-39 I 32 6884 7118 7353 7588 7822 78-22 45 12540 12870 13200 13530 110- ( 32 3 6977 7213 7450 7686 7923 78-83 45 3 12665 12997 13329 13660 110-61 < 32 6 7071 7309 7547 7786 8024 79-44 45 6 12791 13124 13458 13792 111-22 ( 32 9 7165 7405 7645 7886 8126 80-06 45 9 12917 13252 13588 13923 111-83 ) 33 7260 7502 7744 7986 8228 80-67 46 13044 13381 13718 14056 112-44 ) 33 3 7356 7599 7843 8087 8331 81-28 46 3 13171 13510 13849 14189 113-06 ( ) 33 6 7452 7698 7943 8189 8435 81-89 46 6 13299 13640 13981 14322 113-67 ( IB^ 7549 7796 8044 8291 8539 82-50 46 9 13428 13770 14113 14456 114-28 ( TABLES EXCAVATION AND EMBANKMENT. TABLE I. — SECOND SERIES. Side of Slopes 1^, Hoi-izontai, to each Perpendicular Foot. 100 FEET CHAIN. cub. yard. feet. 00 5 5-6 •1 11-3 •2 172 -3 231 -4 2y-2 •5 35-3 -6 41-6 -7 480 •8 54-5 . -9 Gil 6--0 67-8 •1 74-7 -2 81-6 •3 88-7 •4 95-8 •5 103-1 -6 110-5 -7 II8-0 •8 125-C -9 133-3 7 -0 141-2 •1 149-1 •2 1.57-1 -3 10.5-3 •4 173-6 •5 182-0 •6 190-5 -7 199-1 -8 207-8 •9 216-7 8 -0 2-25-6 -1 234-7 -2 243-8 •3 253-1 •4 2()2-5 -5 272-0 -6 281-6 -7 290-3 -8 300-1 •9 3111 9 -0 3-211 •1 331-3 -2 341-6 •3 3520 •4 362-5 •5 27.3-1 •6 383-8 -7 394-6 •8 405-6 •9 cub. varii. feet. 416-6 10 -0 427-8 •1 439-1 •2 450-5 •3 4()2-0 •4 473-6 •5 485-3 •6 497-2 ■7 51)91 •8 521-1 •9 533-3 11 -0 545-6 •1 558-0 •2 570-5 •3 583-1 •4 595-8 ■5 608-6 -6 621-6 •7 634-6 •8 647-8 •9 661-1 12 -0 674-5 •1 68t?0 •2 701-6 •3 715-3 •4 729-2 •5 743-1 •6 757-2 ■7 771-3 •8 785-6 •9 800-0 13 814-5 •1 829-1 -2 843-8 •3 858-6 •4 873-6 •5 888-6 •6 903-8 •7 919-1 •8 934-5 •9 950-0 965-6 981-3 997-2 10131 1029-2 1045-3 1061-6 1078-0 1094-5 14 -0 •1 -2 •3 -4 •5 cub. yard, 11111 1127-8 1144-6 1161-6 1178-6 1195-8 1213- r 1230-5 1248-0 1265-6 1-283-3 1301-2 1319-1 13372 1355-3 1373-6 13920 1410-5 14-29-1 1447-8 ■1466-7 1485-6 1.504-6 1523-8 1543-1 1562-5 15820 1601-6 1621-3 1641-2 1661-1 1C)81-1 1701-3 1721-6 1742- 17G2-5 1783-1 1803-8 1824-6 1845-6 1866-6 1887-8 1909-1 1930-5 19.32-0 1973-6 1995-3 7 2017-1 8 2039-1 9 2061-2 feet. 15 •1 •2 •3 •4 •5 •6 •7 cub. yaft 2083-3 2105-6 2128-0 2150-5 2173-1 2195-8 2218-6 2241-6 8 2264-6 9 I 2287-8 2311-1 2;J35-0 2358-0 2381-6 2405-3 2429-1 24.53-1 2477-2 2501-3 2525-6 2550-0 2574-5 2599-1 2623-8 2648-6 2673-6 2698-6 27-23-8 2749-1 2774-5 18 -0 2800-0 2825-6 2851-3 2877-2 2903-1 2929-2 2955-3 2981-6 3007-9 3034-5 19 -0 -1 -2 •3 -4 •5 3061-1 3087-8 3114-6 3141-6 3168-6 3195-8 3223-1 3250-5 3278-0 3305-6 20 -0 23 •1 24 -0 •1 •2 -3 •4 -5 •0 •7 •8 EXCAVATION AND EMBANKMENT. 189 BREADTH OF BASE, 15 FEET. Depth of Cutting- in Feet and Tenths of a Foot. ) feet. cub. vard. feei. cul). yard. feet. cub. yard. feet cub. yard. feet. cub. yard. i)25-0 4860-8 27 -0 5549-5 29 -0 0282-6 31 -0 7061-0 33 7882-9 •^ 4894-1 •1 5585-0 •1 6320-3 •1 7101-0 •1 7925-0 •2 4927-5 •2 5620-6 •2 6358-1 •2 7142-1 •2 7967-2 ^ -3 4961-0 -3 5656-3 •3 6396-0 •3 7183-3 •3 8009-5 •4 4994-6 •4 5692-1 •4 6434-0 •4 7224-6 •4 8051-9 •5 5U28-3 •5 5728-0 •5 6472-1 -5 7266-0 •5 8094-4 •6 5(j62-l ■6 5764-0 •6 6510-3 -6 7307-5 -6 8137-0 "7 5096-0 •7 5800-1 •7 6548-6 •7 7349-1 •7 8179-7 •8 51.30-0 •8 5836-3 -8 6.587-1 •8 7390-8 •8 8222-5 •1) 5164-1 •9 5872-6 -9 6626-0 •9 7432-6 •9 8265-4 26-0 5199-6 28 -0 5910-5 30 -0 6666-6 32 -0 7460-4 34 .0 8310-5 •1 5234-0 •1 5947-1 •1 6706-6 •1 7.507-4 •1 8353-5 •2 5268-5 •2 5983-8 •2 6746-7 •0 7.548-5 •2 8396-7 •3 5303-1 •3 6020-() •3 6786-9 •3 7589-7 •3 8440-0 •4 5337-8 •4 60575 •4 6827-2 •4 7631-0 •4 8483-4 •5 5372-6 •5 6094-5 •5 6867-6 -5 7672-4 •5 8526-9 •6 5407-5 ■6 6131-1 •6 6908-2 -6 7713-9 •6 8570-5 / •7 5442-5 •7 6168-8 •7 6948-9 -7 7755-5 •7 8614-2 •8 5477-6 •8 6206-1 •8 6989-7 • -8 7797-2 •8 8658-0 ■9 5512-8 •9 6243-5 •9 7030-6 •9 7839-0 •9 8701-9 TABLE II.— SECOND SERIES. Side of Slopes IJ, Horizontal, to each Perpendicular Foot. 66 FEET CHAIN. of Cut. BREADTH OF BASE, 5 FEET ) Depth of C uttin^ ill Feet and Tenihs of a Foot. feet. cub. yard. feet. cub. yard. feet cub. vard. feet. cub. vard. 1 feet. cub. yard.f -0 0-00 3 -0 143-0 6 -0 352-0 9 -0 627-0 12 -0 968-0 / ') -1 3-70 •1 148-9 •1 360-1 •1 637-3 •1 980-5 ( ) -2 7-5 •2 154-9 .0 368-3 -2 647-7 •2 993-1 ; } -3 11-3 •3 160-9 •3 376-5 •3 658-1 •3 1005-7 / •4 15-2 •4 167-1 •4 384-9 •4 668-6 •4 1018-4 / •5 19-2 -5 173-2 •5 393-2 •5 679-2 •5 1031-2 ; -6 23-3 -6 179-5 •6 401-7 •6 689-9 •6 1044-1 / ■7 27-5 •7 185-9 •7 410-3 •7 700-7 •7 10.57-1 ) •8 31-7 -8 192-3 -8 418-9 -8 711-5 •8 1070-1 ) I '^ 36-0 •9 198-8 •9 427-6 •9 722-4 •9 1083-2 ) I 1 -0 40-3 4 -0 205-3 7 -0 436-3 10 733-3 13 1096-3 J ) •! 44-8 •1 212-0 •1 445-2 •1 744-4 -1 1109-6 ) ( -2 49-3 •2 218-7 -2 454-1 •2 755-5 •2 1122-9 ) ) "3 53-9 •3 225-5 -3 463-1 •3 766-7 •3 1136^3 ) ( -4 58-5 •4 232-3 •4 472-1 •4 777-9 •4 1149-7 ) •5 63-2 •5 239-2 -5 481-2 •5 789-2 •5 1163-2 •6 68-1 •6 246-2 •6 490-4 •6 j5oo-7 •6 1176-8 •7 72-9 •7 253-3 •7 499-7 •7 812-1 •7 1190-5 ) •8 77-9 -8 260-5 •8 509-1 •8 823-7 -8 1-304-3 ) •9 ( 2 -0 82-9 •9 267-7 •9 518-5 •9 835-3 •9 1218-1 ) 88-0 5 -0 275-0 8 -0 528-0 11 -0 847-0 14 -0 1232-0 i ( -1 93-2 •1 282-4 •1 537-6 •1 858-8 •1 1240-0 ) ( -2 98-4 •2 289-8 -2 547-2 •2 870-6 -2 12600 ) ^ 3 103-7 •3 297-3 •3 .55610 •3 882-5 •3 1274-1 ) •4 109-1 •4 304-9 •4 566-7 -4 894-5 •4 l-3««-3 ) •5 114-6 -5 312-6 •5 576-6 •5 906-6 •5 13i)-3-o ) •6 120-1 •6 320-3 -6 586-5 •6 918-7 •6 13l(i-9 ) -7 125-7 -7 328-1 •7 596-5 •7 930-9 -7 1331-3 ) •8 131-4 -8 3.36-0 -8 606-6 •8 943-2 •8 1345-8 ) L^ 137-2 -9 344-0 ;9^ ^^616;8j ^^;9^ 955-6 •9 ^360^ 190 EXCAVATION AND EMBANKMENT. Depth BREADTH OF BASE, 1. FEET. of Cut. Depth of Cutting in Feet aiiU Te iths of a Foot. S feet. cub. varil. i feet. cub. yard., feet. cub. yard. feet. cub. yard. feet. cub. vard / 15 13750 20 -0 22000 1 25 -0 3208-3 30 -0 4400-0 35 -0 5775-0 ) •1 1389-7 •1 2218-4 •1 3230-4 •1 4425-7 •1 5804-4 > •2 1404-5 -2 2236-8 -2 3252-5 -2 4451-5 -2 5833-8 ) •3 1419-3 -3 2255-3 -3 3274-7 -3 4477-3 •3 5863-3 ) •4 1434-2 •4 2273-9 •4 3296-9 -4 4503-2 •4 5892-9 ) •5 1449-2 -5 2292-6 •5 3319-2 -5 4529-2 •5 5922-6 ) •6 1464-3 •6 2311-3 •6 3341-6 -6 4555-3 •6 5952-3 ) •7 1479-5 •7 2.330-1 •7 3364-1 -7 4581-5 •7 5982-1 J •8 1494-7 -8 2349-0 •8 3386-7 •8 4607-7 •8 6012-0 ) •9 15100 -9 2368-0 •9 3409-3 -9 4634-0 •9 6042-0 ) 16 1.525-3 21 -0 2387-0 26 -0 3432-0 31 -0 4660-3 36 -0 6072-0 ; •1 1540-8 -1 2406-1 •1 3454-8 ■1 4686-8 •1 6102-1 ) •2 1.556-3 -2 2425-3 •2 3477-6 -2 4713-3 •2 6132-3 ) •3 1.571-9 -3 2444-5 •3 3500-5 -3 47.39-9 •3 6162-5 ) •4 1.587-5 •4 2463-8 •4 3523-5 •4 4766-5 •4 6192-8 ) •5 1603-2 -5 2483-2 •5 3546-6 •5 4793-2 •5 6223-2 ) •6 1619-0 -6 2.502-7 •e 3569-7 •6 4820-0 •6 6253-7 ) 1634-9 •7 2522-3 . •7 3592-9 •7 4846-9 •7 6284-3 ) •8 16.50-9 •8 2.541-9 -8 3616-2 -8 4873-9 •8 6314-9 ) •9 1666-9 -9 2.561-6 •9 3639-6 •9 4900-9 •9 6345-6 j 17 1683-0 22 2.581-3 27 -0 36630 32-0 4928-0 37 -0 6376-3 J •1 1699-2 •1 2601-2 •1 3686-5 •1 4955-2 •1 6407-2 ) 1715-4 -2 26211 •2 3710-1 •2 4982-4 •2 6438-1 ■3 1731-7 -3 26411 •3 3733-7 •3 5009-7 •3 6469-1 ) •4 1748-1 -4 2661-1 -4 3757-5 •4 5037-1 -4 6.500-1 ) •5 1764-6 -5 2681-2 •5 3781-2 •5 5064-6 •5 6.531-2 ) •6 1781-1 -6 2701-5 •6 38051 •6 5092-1 •6 6.562-5 ) •7 1797-7 .7 2721-7 •7 3829-1 •7 5119-7 -7 6593-7 •8 1814-4 -8 27421 •8 38531 •8 5147-4 -8 6625-1 •9 1831-2 -9 2762-5 •9 3877-2 •9 5175-2 -9 6656-5 18-0 1848-0 23 -0 27830 28 -0 3901-3 33 -0 5203-0 38 -0 6688-0 ( •1 18(>l-9 2803-6 -1 3925-6 •1 5230-9 •1 6719-6 ) •2 1881-9 -2 2824-2 •2 3949-9 •2 5258-9 •2 6751-2 ) •3 1898-9 -3 2844-9 -3 3974-3 •3 5286-9 -3 6782-9 ) •4 1916-0 •4 2865-7 •4 3998-7 •4 5315-0 •4 6814-7 ) ( -5 1933-2 -5 2886-6 • -5 4023-2 •5 5343-2 -5 6846-6 ) •G 1950-5 -6 2907-5 -6 4047-8 -6 .5371-5 -6 6878-5 ) •7 1967-9 '7 2928-5 •7 4072-5 -7 5399-9 •7 6910-5 ) •8 1985-3 •8 2949-6 •8 4097-3 •8 5428-3 -8 6942-15 ) ! "9 2002-8 -9 2970-8 •9 4122-1 •9 5456-8 •9 6974-8 ) 'J9 2020-3 24 -0 2992-0 29 -0 4147-0 34 -0 5485-3 39 -0 7007-0 ; •1 2038-0 -L 3013-3 •1 4172-0 •1 5514-0 •1 7039-3 ) •2 20.5.5-7 -2 3034-7 •2 4197-0 •2 5.542-7 •2 7071-7 ) •3 2073-5 -3 .30.56-1 -3 4-222-1 •3 5571-5 •3 7104-1 ) •4 2091-3 •4 3077-6 -4 4247-3 -4 5600-3 •4 7136-6 ) •5 2109-2 -5 :$09y-2 -5 4272-6 •5 5629-2 •5 7169-2 ) ) -6 2127-2 •6 3120-9 -6 4297-9 -6 5658-2 •6 7201-9 > ( -7 2145-3 •7 3142-7 •7 43-23-3 -7 5687-3 •7 7234-7 > ) -8 2163-5 -8 3164-5 •8 4348-8 -8 5716-5 •8 7267-5 > [■^ 2181-7 •9 3186-4 •9 4374-4 -9 5745-7 ^^9^7300^ EXCAVATION AND EMBANKMENT. TABLE III. — SECOND SERIES. Side of Slopes I^, Horizontal, to each Perpendicular Foot. CHAINS, 66 FEET EACH. S Cut. 1 BREADTH OF BASeTsoI^EET, -^-'--^'-^--^---■^'-^-^ Depth of Culling: in Feet and Tenths of a Foot. ] ) feet. cub. yard. feet. cub. yard. feet. cub vard.l feet. cub. yard. feet. cub. yard. ) ) -0 000 5 67222 10 -0 1711-11 15 3116-67 20 -0 4888-89 ) ; -1 9-85 •1 68941 •1 1735-63 •1 3148-52 •1 4928-07 ) ) -2 1985 •2 706-74 •2 176029 ■2 3180-51 •2 4967-40 ) ; -3 29-99 •3 724-22 •3 1785-10 •3 3212 66 •3 500688 S ) -4 40-28 •4 741-84 •4 1810-06 •4 3244-95 •4 5046-51 S ) -5 50-72 •5 75961 •5 1835-17 •5 3277-39 •5 .5086-28 S ) 6 61-31 •6 777-53 •6 186043 •6 3309-97 •6 5126-20 S ) '"' 72-04 •7 79559 •7 1885-81 •7 3342 70 •7 516626 S ) -8 82-91 ■8 813-80 •8 191136 •8 337558 •8 520647 { ( '^ 93-94 -9 83216 . -9 1937 05 •9 3408-61 •9 5246-83 j ) 1 -0 10511 6 -0 85067 11 -0 196289 16 -0 3441-78 21 5287-33 I ) -1 116-43 •1 869-32 •1 1988-87 •1 ^7509 •1 532798 ( •2 127-89 •2 888-12 2015-00 •2 3508-56 •2 5368-78 ( ' -3 13950 •3 907-06 ■3 2041-28 •3 3542-17 •3 5409-73 ( ) -4 151-26 •4 926-15 •4 2067-71 •4 3575-93 •4 5450-82 ( •5 163-17 •5 945-39 •5 2094-28 •5 3609-83 •5 549206 ( •6 175-22 •6 964-77 •6 2120-99 •0 3643-88 •6 553344 ( •7 187-42 984-30 •7 2147-80 •7 3678-08 •7 5574-97 ( •8 199-76 •8 1003-98 •8 2174-87 •8 3712-43 •8 5616-65 ( / '^ 212-25 •9 1023-81 •9 2202-03 •9 3746-92 •9 5658-47 ( ( 2 -0 224-89 7 -0 1043-78 12 -0 222933 17 -0 378155 22 -0 5700-44 ( { -1 237-67 •1 1063 94 •1 22.56-78 -1 381634 •1 574256 ( ( -2 2.50-60 •2 1084-16 •2 2284-38 •2 385127 •2 578483 ( •3 263-69 •3 1104-57 •3 231213 •3 3886-35 •3 582724 ( •4 276-91 •4 1125-13 •4 2340-02 •4 3921-57 •4 586980 ( •5 290-28 •5 114.583 •5 2368-06 •5 3956-94 •5 5912-50 ( •6 303-80 •6 1166-68 •6 2396-24 •6 399246 •6 595535 ( ■^ 317-46 •7 1187-68 •7 242457 •7 402812 •7 599835 ( •8 33127 •8 1208-83 •8 2453-05 •8 4063-94 •8 6041-49 ( ( -9 34523 •9 123012 •9 2481-67 •9 409989 •9 6084-78 ( S 3 -0 359-33 8 -0 1251-56 13 -0 2510-44 18 -0 4136 00 23 -0 6128-22 \ •1 373-58 •1 1273 14 •1 2.539-36 •1 417225 •1 6171-81 ( ( -2 387-98 •2 1294-87 •2 2.568-43 •2 4208 65 •2 6215-54 ( / -3 402-53 •3 1316-75 •3 2597-64 •3 424519 •3 6259-42 ( / -4 417-22 •4 1338-77 •4 262700 ■4 4281-88 •4 630344 •5 432-06 •5 1360-94 •5 2656-50 •5 4318-72 •5 6347-61 ( ( -6 447-04 •6 1383-26 •6 2686 15 •6 4355-71 •6 6391-93 ( ( "7 46217 .7 1405 73 •7 2716-95 •7 4392-84 •7 6436-39 ( •8 477-45 •8 1428-34 •8 2746-89 •8 443012 •8 6481-00 / ) -9 ) ?4-0 492-87 •9 1451-10 •9 2776-98 •9 4467-54 •9 6525-76 } 508-44 9 -0 1474-00 14 -0 2806-22 19 -0 4505-11 24 -0 6570-67 / •1 524- 16 •1 1497 05 •1 2836-61 •1 454283 •1 6615-72 / •2 54003 •2 1520 25 •2 2867-14 •2 4580-69 •2 6660-92 / •3 55604 •3 1543-59 •3 2897-81 •3 461870 •3 6706-26 ) •4 572 20 •4 1567-08 •4 2928 64 •4 4656 86 •4 6751-75 / •5 588-50 •5 , 1590-72 •5 2959-61 •5 469516 •5 6797-39 ( •6 604-95 •6 1614-51 ■6 299073 •6 4733-61 •6 684317 r ^ -7 621-55 .7 1638 44 •7 3021-99 .7 477221 •7 688910 ( > -8 638-29 •8 166252 •8 3053 40 •8 4810-95 •8 693518 ( 6981-41 } ) -9 65518 •9 1686 74 •9 3084-96 •9 4849-84 •9 192 EXCAVATION AND EMBANKMENT. iDepth of Cut. BREADTH OF BASE, 20 FEET. Depth of Cutting in Feet and Tenths of a Foot. feet. cub. yard. feet. cub. yard. feet. cub. vard. feet. 25 -0 ! 7(J27-78 28 -0 848711 31 10078-44 34 -I •1 i 7074-30 ■1 853803 •1 10133-76 •2 712096 •2 858909 -2 1018923 ■3 7167-77 -3 8640-30 •3 10244-84 •4 7214-73 •4 869166 •4 10300 60 ■5 7261-83 •5 874317 •5 10356 50 •6 730908 •6 8794-82 -6 10412-55 •7 7356 48 •7 8846 62 •7 10468-75 •8 7404-03 •8 8898-56 •8 10525-09 •9 7451-72 •9 8950-65 •9 10581-58 26 7499.56 29 9002-89 32 10638-22 35 •( 7547-54 •1 905527 •I 10695-01 • •2 7.595-67 •2 9107 80 •2 10751-94 •i •3 764395 •3 916048 •3 1080902 •4 7692 37 •4 9213-31 ■4 10866-24 •5 774094 •5 9266 28 •5 10923-61 •6 7789-66 •6 9319-40 •6 10981-13 ■ •7 7838 53 "7 9372-66 ■7 11038 79 •8 7887-.54 •8 942607 •8 11096-50 ■i •9 7936-70 •9 9479-63 •9 11154 56 •< 27 7986-00 30 -0 9533 33 33 1121267 36 •( •1 8035 45 •1 9587-18 •1 11270 92 •2 8085 05 •2 9641-18 •2 11329-32 ■3 813479 •3 9695.33 •3 11.387 86 •4 8184 68 •4 974962 •4 11446 55 •5 8234-72 •5 9804-06 •5 11505 39 •6 8284-91 •6 98.58 64 •6 11564-37 •' •7 8335-24 ■7 991337 •7 11623 50 •8 838572 -8 99t)8-25 •8 11682-78 ■I •9 8436-34 -9 10023-27 •9 11742 21 ■J 11801-78 11861-50 11921-36 11981-37 12041-53 12101-83 1216228 12222-88 1228363 12344-52 12405-56 12466 74 12.52807 3 1258955 4 1265117 1271294 12774-86 1283693 12899-14 12961-50 13024 00 13086-65 1314945 13212.39 1327548 13338-72 1340211 13465 64 13529 32 1359314 38 39 cub. vard. 1365'7-11 13721-23 1378549 1384990 13914-46 1397917 14044 02 14109-02 1417416 1423945 14304- 14370 14436 14502 14568 14634 14700- 14767 148.33 14900 47 > 20 ) 08 ) li ) 28 ) 60 06 ) 67) 43 14967-33 15034-38 15101-.58 1516893 1523642 1.5.30406 15371-84 15439-77 15.507 85 1557607 TABLE IV. — SECOND series. Side of Slopes 1^, Horizontal, to each Perpendicular Foot. 6e FEET CHAIN. Jd^ """'breadth of BASeT 24 FEET ^..^-^^--^^ ) o( ) Cut. Depth of Cutting in Feet and Te nihs of a Foot. feet. cub. yard. fee.. cub. yard. feet. cub. vard. feet. cub. yard. leet. cub. yard.k -0 0-00 2 -0 132-0 4 -0 293-3 6 -0 484-0 8 -0 704-0 •1 .5-90 -1 139-4 -1 302-2 •1 494-3 •1 71.5-8 ( •2 11-90 •2 146-8 •2 311-1 •2 504-7 •2 727-6 / •3 17-90 -3 L54-3 •3 320-1 •3 515-1 •3 7.39-5 •4 2405 -4 161-9 •4 329-1 •4 525-6 •4 751-5 I •5 30-25 -5 169-6 •5 338-2 -5 536-2 •5 763-6 ( ) -6 36-52 •6 177-3 •6 347-4 •6 546-9 •6 775-7 / ■7 42-86 -7 18.5-1 -7 350-7 •7 557-7 •7 787-9 ? ) -8 49-30 -8 193-0 •8 366-1 •8 563-5 -8 800-2 / •9 55-80 •9 201-0 -9 375-5 •9 579-4 •9 812-6 j ) 1 -0 62-30 3 209-0 5 3850 7 590-3 9 .0 825-0 i ) •! 69-00 217-1 •1 394-6 •1 601-4 •1 -837-5 ( ) -2 75-70 •2 225-3 •2 404-2 -2 612-5 •2 850-1 / •3 82-46 •3 233-5 •3 413-9 -3 623-7 •3 862-7 I 875-4 ? ) '4 89-32 •4 241-8 •4 423-7 •4 634-9 •4 S -5 96-25 •5 250-2 •5 433-6 -5 646-2 •5 888-2 / ) -6 103-25 •6 2.58-7 -6 443-5 •6 657-6 •6 901-1 ; ) -7 110-33 •7 267-3 •7 453-5 . -7 669-1 •7 914-1 / •8 \ -9 117-48 •8 275-9 •8 463-6 -8 680-7 •8 927-1 } 124-70 •9 284-6 •9 473-8 •9 6923 •9 ^40^ EXCAVATION AND EMBANKMENT, 193 Depth 1 Cut. 1 BREADTH OF BASE, 24 FEET. [ Depth of Cu tiii^ in Feet and Tei ths of a Foot. feet. cub. yard. fl fret. cnh. vard. 1 feet. cub, yard 1 feet. cub. vard. feet. icub. vard 10-0 953-3 16 -0 1877-3 22 -0 .3065-3 1 28 -0 4517-3 34 -0 6233-3? •1 96G-6 -1 1895-0 -1 3087-4 1 "1 4543-8 •1 6264-2 ( •2 979-9 •2 1912-7 •0 3109-5 ! -2 4570-3 •2 6295-1 / •3 993-3 •3 1930-5 -3 3131-7 •3 4596-9 •3 6.326-1 I 6357-1 / •4 10U6-7 •4 1948-3 -4 3153-9 -4 4623-5 •4 •5 1020 2 •5 1966-2 •5 3176-2 •5 4650-2 •5 6388-2 / •6 1033-9 •6 1984-2 -6 3198-7 -6 4677-0 •6 6419-5 / 6450-7 ) •7 1047-5 •7 2002-3 •7 .3-221-1 -7 4703 9 •7 •8 10(>l-3 •8 2020-5 •8 3243-7 -8 4730-9 •8 6482-1 ) •9 1075-1 •9 2038-7 •9 3266-3 •9 4757-9 -9 6513-5 11-0 1089-0 17 -0 2057-0 23 -0 3289-0 29 -0 47850 35 -0 6545-0 •1 11030 •1 207.T4 •1 3311-8 •1 4812-2 •1 6576-6 •2 1117-0 '2 2093-8 •2 .33346 -2 4839-4 •2 6608-2 •3 1131-1 •3 211-2-3 •3 3357-5 •3 4886-7 •3 6639-9 •4 1145-3 -4 2130-9 •4 3380-5 •4 4894-1 -4 6671-7 •5 1159-6 ■5 2149-6 •5 3403-6 •5 4921-6 -5 6703-6 •6 1173-9 •6 2168-3 •6 34-26-7 -6 4949-1 ■6 6735-5 •7 1188-3 ■7 2J87-1 •7 3449-9 •7 4976-7 •7 6767-5 •8 1202-8 •8 2206-0 -8 3473-2 •8 5004-4 •8 6799-6 •9 1217-4 •9 22-25-0 -9 3496-6 •9 5032-2 •9 6831-8 12-0 1232-0 18 -0 2244-0 24 -0 3520-0 30 -0 5060-0 36 -0 6864-0 •1 1246-7 -1 2263-1 -I 3543-5 •1 5087-9 ^ -1 6896-3 •2 1261-5 -2 2-282-3 -2 3.567-1 -2 5115-9 -2 6928-7 •3 1276-3 -3 2301-5 -3 3590-7 •3 5143-9 -3 6961 1 •4 1291-2 •4 2320 8 -4 .3614-5 •4 5172-0 •4 69.93-7 •5 1306-2 -5 2340-2 -5 3638-2 -5 5200-2 -5 7026-2 •6 1321-3 -6 2359-7 •6 3662-1 -6 5228-5 •6 7058-9 •7 1336-5 -7 2379-3 •7 3686-1 •7 5-256-9 •7 7091-7 •8 1351-7 •8 2398-9 -8 3710-1 ■8 5285-3 •8 7124-5 •9 1367-0 •9 2418-6 •9 3732-2 -9 5313-8 •9 7157-4 13-0 1382-3 19 -0 2438-3 25 -0 3758-3 31 -0 5:«2-3 37 -0 7190-3 •1 1397-8 -1 2458-2 •1 3782-6 •1 5371-0 •1 7223-4 •2 1413-3 •0 2478-1 •2 3806-9 -2 53.99-7 •2 7256-5 •3 1428-9 •3 2498-1 •3 3831-3 •3 5428-5 •3 7289-7 ■4 1444-5 -4 2518-1 -4 3855-7 -4 5457-3 •4 7.322-9 •5 1460-2 •5 2538-2 ■5 3880-2 •5 5486-2 •5 7356-2 •6 1476-1 -6 2558-5 -6 3904 8 •6 5515-2 •6 7389-7 .7 1491-9 •7 2578-7 •7 39-29-5 •7 5544-3 -7 74-23] •8 1507-9 •8 2599-1 •8 3954-3 -8 5573-5 •8 7456-7 •9 1523-9 -9 2619-5 -9 3979-1 -9 5602-7 •9 7490-3 14-0 1540-0 20 -0 2640-0 26 -0 4004-0 32 -0 5632-0 38 -0 7524-0 ■1 1556-2 •1 2660-6 •1 4029-0 •1 5661-4 •1 7557-8 •2 1572-4 -2 2681-2 •2 4054-0 -2 5690-3 •2 7591-6 •3 1588-7 •3 2701-9 •3 4071)- 1 •3 572i)-3 •3 7(525-5 ' 7659-5 < 7693-6 ' •4 1605-1 •4 2722-7 -4 4104-3 -4 5749-9 •4 •5 1621-6 -5 2743-6 •5 41-29-6 •^ 5779-6 •5 •6 1638-1 -6 2764-5 ■6 4154-9 •6 5809-3 -6 7727-7 ^ •7 1054-7 ■7 2785-5 •7 4180-3 •7 5339-1 •7 7761-9 ( 7796-2 •8 1671-4 •8 2806-6 •8 4205-8 •8 5869-0 -8 •9 1688-2 -9 2827-8 -9 4231-4 •9 5899-0 •9 7830-6 ( 7865-0 ; 15-0 1705-0 21 -0 2849-0 27 4257-0 33 5929-0 39 -0 •1 1721-9 •1 2870-3 •I 4282-7 •1 59591 •1 7899-5 : •2 1738-9 •2 2891-7 ■2 4308-5 •2 5989-3 -2 7934-1 7968-7 ) •3 1755-9 •3 2913-1 -3 4334-3 •3 6019-5 •3 •4 1773-1 •4 2934-7 -4 4360-2 -4 6049-8 -4 8003-4 ' •5 1790-2 •5 2956-2 -5 4.386-2 •5 6080-2 •5 8038-2 ) •6 1807-5 -6 2977-9 •6 4412-3 -6 6110-7 -6 8073-1 •7 18-24-9 .7 2999-7 •7 4438-5 •7 6141-3 •7 8108-1 / •8 184-2-3 •8 3021-5 -8 4464-7 •8 6171-9 -8 8143-1 ) •9 1859-8 -9 3043-4 •9I 4491-0 1 -9 6202-6 1 •9 8178-2 ) 17 EXCAVATION AND EMBANKMENT. TABLE V. — SECOND series. Side of Slopes Ig, Horizontal, to each Perpendicular Foot. 100 FEET CHAIN. (Depth BREADTH OF BASE, 25 FEET Jcl Depth of Ci ttinsr in Feet ami Tenths of a Foot. / leet. / -0 / "1 cub. yard. feet. cub. vard. feet. cub. vard. feet. cub. vard. feet. ctib. vard. 0-0 5 -0 601-9 10 -0 1481-5 1 15 -0 2638-9 20 -0 4073-1 9-3 •1 616-7 •1 1501-9 •3 2664-7 •1 4105-7 M 18-7 .0 6.S1-7 •o 1.522-4 2691-0 •2 4137-4 28-3 •3 646-8 •3 1543-1 2717-1 •3 4169-3 37-9 •4 66-2-0 -4 1563-8 •4 2743-5 ••i 4201-3 M 47-7 •5 677-3 •5 1584-7 •5 2769-9 -5 4233-3 57-5 •6 692-7 •6 160.5-7 •6 2796-4 •6 4265-6 67-5 •7 708-3 •7 1626-8 •7 28231 •7 4297-8 ) -8 77-6 •8 723-9 •8 1648-0 •8 2849-8 •8 4230-3 ( "^ 87-8 -9 739-7 •9 1669-3 •9 2876-7 , •9 4362-8 ) 1 -0 98-1 6 -0 7.55-5 11 -0 1690-7 16 -0 2903-7 21 4394-3 •3 108-6 •1 771-5 •1 1712-3 •1 2930-8 •1 44271 ' 1191 •2 787-G •2 1733-9 •2 2958-0 •o 4459-9 129-7 •3 803-8 •3 17.55-7 •3 2985-3 •3 4492-9 , -4 140-5 •4 820-1 •4 1777-5 •4 301-2-7 •4 4.526-0 ) -5 151-4 •5 836-6 -5 17«>9-5 •5 3040-3 •5 4559-1 •6 ir.2-4 •6 8.-)31 •6 1821-6 •6 3067-9 •G 4.592-4 ) '^ 1735 •7 8()9-7 •7 1843-8 *7 3095-7 •7 4625-8 ) -8 184-7 •8 886-5 •8 1866-1 •8 3123-5 •8 46.59-4 ^ ■' 196-0 •9 903-4 •9 1888-5 •9 3151-5 •9 4693-0 ^ 2 -0 207-4 7 -0 920-4 12 -0 1911-1 17 -0 3179-6 22 -0 4725-8 218-9 •1 937-5 •1 1933-8 •1 3207-8 •1 4759-6 ( -o 2,S0-6 •2 9.')4 7 •2 1956-5 •2 3236-1 •2 4793-6 ^ -3 24-23 •3 9720 •3 1979-4 •3 32()4-6 •3 48-27 -6 •4 254-2 •4 989-4 •4 2002-3 •4 :K93-1 •4 4861-8 •5 2()6-2 -5 100()-9 •5 20-25-5 •5 3321-7 •5 4896-1 S -6 278-3 -6 1024-6 -6 2048-6 •6 3350-5 -6 41)30-4 •8 290-5 •7 1042-3 •7 2072-0 •7 3379-4 •7 4»(i4-8 302-8 •8 1060-2 •8 2095-4 •8 3408-3 •8 4999-4 •9 315-2 •9 1078-2 •9 2118-9 •9 3437-4 ■9 5034-0 3 327-8 8 -0 1096-3 13 2142-6 18 -0 3466-7 23 -0 .5068-3 •1 340-4 •1 1114-5 •1 2166-3 -1 :M96- •1 5103-1 ( -2 353'2 •2 1132-8 •2 2190-2 •2 3525-4 •2 51.38-1 ■3 3661 -3 1151-2 •3 2214-2 •3 3.5.54-9 •3 5173-1 •4 3790 •4 11698 •4 2238-3 •4 3584-6 •4 .5-208-3 •5 3921 •5 1188-4 -5 2262-5 •5 3614-3 •5 5243-6 •6 405-3 •6 1-207-2 -6 2286-8 •6 3644-2 •6 5279-0 •7 418-6 •7 12-it)-0 •7 23112 •7 3674-2 •7 5314-5 < -8 432-1 •8 1245-0 -8 2335-7 •8 3704-3 •8 5350-1 •9 445-6 •9 12641 -9 2360-4 ■9 3731-5 •9 5:185-8 ( 4 -0 459-3 9 -0 1283-3 14 -0 238.5-2 19 -0 3764-8 24 -0 5121-9 ( •! 4730 •1 1302-6 •1 2410-0 •1 3795-2 •1 54.57-9 ( '2 48(i-9 .0 1321-1 -2 2435-0 -2 3825-8 -2 5493-9 ? -3 5()0-9 -3 1340-6 •3 2460-1 •3 3856-4 •3 .5.530-1 ( "4 515-0 -4 1360-2 -4 2485-3 •4 3886-2 •4 5566-3 ( -5 529-2 •5 1380-0 •5 2510-6 •5 3917-0 •5 561)2-7 ( "6 543-5 •6 1399-9 -6 2.536-0 •6 3948-0 •6 1 .5639-2 ( "7 557-9 •7 1419-9 •7 2.561-6 •7 3979-1 •7 1 5675-7 ( 'S 572-4 •8 1439-9 -8 2587-2 •8 4010-3 •8 5712-3 L^ 587-1 •9 1460-1 -9 2613-0 •9 4041-6 •9 , 5749-0 EXCAVATION AND EMBANKMENT. 195 Depth Cut. BREADTH OF BASE, 25 FEET. cnb. vanl. Depth of Cutting in Feet and Tenths of a Foot. reet. feel^ cub. vnrd. fefi. cnb. vard. feet. cub. yard. 25 -0 57870 27 -0 6549-8 29 -0 73.57-1 31 8209-0 •1 5823-9 •1 6.588-8 •1 7398-3 -1 8252-5 •2 58(n-0 -2 662S-0 •2 7439-6 -2 8296-2 •3 5898 2 •3 6607-3 -3 7481-0 •3 8339-9 •4 5935-5 •4 6706-6 •4 7522-(i •4 8383-7 •5 5972-9 •5 6746-1 -5 7.564-2 •5 8427-7 •6 (5010-3 •6 6785-7 -6 7606-0 •6 8471-8 •7 6047-8 •7 6825-4 -7 7()47-8 •7 8515-9 •8 6085-5 •a 6865-2 •8 7689-8 •8 8560-2 •9 6123-2 •9 69051 •9 7732-0 •9 8604-6 16 -0 6162-8 28 6947-9 30 -0 7777-7 32 -0 8651-5 ■1 6200-8 -1 6988-0 •1 7817-0 •1 8696-1 •2 6238-8 •2 7028-3 •2 7859-5 •o 8740-8 •3 62770 •3 7068-7 •3 7902-0 •3 8785-6 - -4 6315-2 •4 7109-2 •4 7944-6 •4 8830-6 •5 6353-6 •5 71497 -5 7987-4 •5 8875-6 •6 6392-1 •6 7190-3 •6 8030-2 •6 8920-8 •7 6430-7 •7 7231-0 •7 8073-2 •7 8966-0 •a 6469-4 •8 7271-8 -8 8116-3 •8 9011-4 •9 6508-3 i •9 7312-8 •9 8159-5 -9 9056-9 TABLES OF EXCAVATION AND EMBANKMENT. TABLE I.— THIRD SERIES. Basc 1.— Slopes 1 to ) 1 3 3 4 - ^ S Mult. Add. Mult. Add. Mult. Add. 1 i Mult. Add. Mult. Add. io •0J85 0-012 -0370 0^049 -0556 0-111 •0741 0-198 -09-26 0-308 0) ) 1 •0370 0^l)37 -0556 0^086 •0741 0-160i -09-26 0-259 -nil 0-383 1/ ) 2 •0556 0086 -0741 0148 •0926 0-2351 -nil 0-346 i •1296 0-481 2/ ) 3 •0741 0-160 -092:) 0^235 •1111 0-3331 -1296 0-4.57 •1481 0-605 3) 4 •09-26 0-259 •nil 0-34(ii •1296 0-4.57 •1481 0-593 •1667 0-753 4( ) 5 •nil 0-383 •1296 0-481 •1481 605, •1667 0-7.53 •1852 0-926 i> 1 6 •1296 0-.531 •1481 0-642 ■um 0-778 i -18.52 0-938 •2037 1-1-23 •1481 0-704 •lt)67 0-8-271 •1852 0-9751 -2037 1-148 •2222 1-346 7 8 ! 8 •16G7 0-901 •1852 1-037 •2.137 1-296 -2-222 1-383 •2407 1-593 ) 9 •1852 M-23 •2.(37 1-272 •2222 1-444! -2407 1-642 •2593 1-81)4 9 )W •2037 1-370 •22-22 1-531 •2407 1-716: -2593 1-926. 1 •2778 2-160 10) ill •2222 1042 •2407 1-815 •2593 2012' -2778 2-235 •2963 2-481 11 ' )12 •2407 1-938 •2593 2-1-23 •2778 2-333 -2963 2-5681 -3148 2-827 12) •2593 2-25!) •2778 2-4.)7 •2963 2-679 -3148 29-26 -3333 3-198 13 •2778 2-61)5 •2963 2-815 •3148 3-049 -3333 3-309 -3519 3-593 14) •2963 2-975 •31 48 3-198 •3333 3-444 •3519 3-716 -3704 4-012 15; IG •3148 3-370 •3333 3-605 •3519 3-864 •3704 4-148 -.iSS^J 4-4.57 17/ 1- •3333 3-790 -3519 4-037 •3704 4^309 •3889 4-605 -4074 4-926 } 1*^ •3519 4-235 -3704 4-494 ■:\(iSJ 4-778 •4074 5-086 -4-259 5-4-20 18) ) 1!^ •3704 4-704 -3889 4-975 •4074 5-272 •4259 5-593 -4444 5-938 19) )20 •3889 5-198 •4074 5-481 •4259 5-790 •4444 6-061 •4630 6-481 20) )21 •4074 5-716 •4259 6-012 •4444 6-333 -4630 6-679 •4815 7-049 21 ) ) 2-2 •4259 6-259 •4444 6-568 •4630 6-901 •4815 7-2.59 -5000 7-042 22) (23 •4444 6-827 •4t).J0 7-148 •4815 7-494 •5000 7-864 •5185 8-259 23 24 •4630 7-420 •4815 7-7.53 •5000 8-111 •5185 8-494 -5370 8-901 24) 25 •4815 8^037 •5000 8-383 •5185 8.573 •5370 9-148 -5556 9-568 25 26 •5000 8^679 •5185 9037 •5370 9-420 -5556 9-827' -5741 10-2.59 26 27 •5185 934() •5370 9-716 •5556 10-111 •5741 10.531 -5926 10-975 27 28 •5370 10037 •5556 10-420 •5741 10-8-27 •5926 11 -2.)9 -6111 11-716 ^2B 29 •5556 107.53 •5741 11-148 •5921) 11-568 •6111 12-012 ■6-296 12-481 29 30 •5741 11494 •5926 11-901 •6111 12-333 •6296 12-790 -6481 13-272 30 )31 •5926 12^259 •6111 12-679 •6296 13123 •6481 13.593 -6667 14-086 31 ; 32 •tilll 13^049 •6296 13-481 •6481 13-938 •66ii7 14-4-20 -6852 14-926 32 33 •6296 13-864 •6481 14-309 •6667 14-778 •6852 15-272 -7037 15-790 33 34 •6481 14-704 •6667 l.rI60 •6852 15-642 •7037 16148 -7222 16-679 34 35 •6667 15-568 •6852 16037 •7037 16-531 •7-222 17-049 -7407 17-593 35 36 •685-2 16-4.">7 •7037 16-938 •7222 17-444 •7407 17-975 -7.193 18-.531 36 37 •7037 17-370 •7222 17-864 •7407 18-383 •7.593 18-926 -7778 19-494 37 ( 38 •7222 18-309 •7407 18-815 •■;.593 19-346 •7778 19-901 -7963 20-481 38 ( )39 •7407 19-272 •7593 19-790 ■7778 20^333 -7963 20-901 -8148 2r494 39 J 40 •7593 20-259 •7778 20-799 •7963 21-346 -814-< 21-9-26 ■8333 22531 40 )41 •7778 21-272 •7963 21-815 •8148 2-2-383 •8333 22-975 -8519 23593 41 i U2 •7963 22309 •8148 22-864 •8333 23-444 -8519 24049 •8704 24-679 42 ( / 43 -8148 23^37() •8333 23-938 •8519 24-531 •8704 25-148 -8889 25^790 43 ( 44 •8333 24-457 •8519 2,V037 •8704 25-642 -8889 26-272 -9074 26^ 92.) 44 ( 45 40 47 48 •8519 25-568 •8704 2()160 -8889 26-778 •9i)74 27-420 -9-259 28^08!i 45 •8704 26-704 •8889 27-309 -9074 27-938 ■9-25;! 28-593 -9444 29-272 46/ •8889 27-864 •9074 28-481 -9259 29123 -9444 29-790 -9630 30-481 47 ( •9074 29-049 •9259 29-679 .9444 30-333 -9630 31-012 1 -9815 31-716 48 ( 49 •9-259 30-259 •9444 30-'.K)l -963U 31-568 -9815 32-259 i-o;;oo 32-975 49 50 •9444 31-494 •9630 32-148 •9815 32-827 1-0000 33-531 1-0185 34-259 5^ 1 a 3 4: 5 TABLE I. — BASE 1. SLOPES 1 TO 197 6 7 8 9 10 i ) Mult. Add. Mult. Add. Mull. Add. Mult. A„U. Mult. Add. •1111 0-444 •1296 0-605 •1481 0-790 •1667 1-000 •1852 1235 ) 1 •12:)6 0^531 •1481 0-704 •1667 0-901 •1852 ri23 •2037 1^370 ] } ) 2 •1481 0-642 •1667 0-827 •1852 1-0.37 •2037 1-272 •2222 1-531 ^i J 4 ■liJtiT 0-778 -1852 0-975 •2037 1-198 •2-222 1-444 •2407 1-716 3 •1852 0-938 •2037 1-148 •2222 1-383 •2407 1-642 •2593 1-926 4 I ) 5 •2037 1-123 ■9.?-?P 1-346 •2407 1-593 •2593 1-864 •2778 2-160 5 I / 6 •2222 1^333 •2407 1-.568 •2593 1-827 ■2778 2-llJ •2963 2-420 6? Jb •i^lU7 1^568 •2593 1-815 •2778 2-086 •2963 2-383 •3148 2-704 7^ •2593 1-827 •2778 2-086 •2Jf>3 2-370 •3148 2-679 •3333 3-012 8 9 •2778 2-111 •2963 2^383 •3148 2-679 •3333 3000 .3519 3-346 9 10 •2963 2-420 •3148 2-704 •3333 3012 •3519 3-346 •3704 3-704 10 n •3148 2-753 •3333 3-049 •3519 3-370 •3704 3-716 •3889 4-086 11 )l-2 •3333 3111 •3519 3-4-20 •3704 3-553 •3889 •1-111 •4074 4-494 12 ) 13 •3519 3-494 •3704 3-815 •3889 4-160 •4074 4-531 •4259 4-926 13 ) 14 •3704 3-901 •3889 4-235 •4074 4-593 •4259 4-975 •4444 5-383 14 ) 15 •3889 4-333 •4074 4-679 -4259 5-049 •4444 .5-444 •4630 5-864 15 ) l'> •4074 4-790 •4259 5-148 •4444 5-531 •4630 5^938 •4815 6-370 16 ) 1" •4259 5-272 •4444 5-642 •4630 6-037 •4815 6-457 •5000 6-901 17 ) ) IB •4444 .5-778 •4630 6-160 •4815 6-568 •5000 7-000 •5185 7-457 18 ) ) ly •4630 6-309 •4815 6-704 ■5000 7-123 •5185 7-568 •5370 8-037 19) ) 2J •4815 6-864 •5000 7-272 -5185 7-704 •5370 8-160 •5556 8-642 20 ) ) 21 •5000 7-444 •5185 7^864 •5370 8-309 •5.556 8-778 •5741 9-272 21 i ;2-2 •5185 8^049 •5370 8-481 •5556 8-938 •5741 9-420 •5926 9-926 22 ) 23 •5370 8-679 •5556 9-123 •5741 9-593 •59-26 10-086 •6111 10-605 23 ) )2-t •5556 9-333. •5741 9-790 •5926 10-272 •6111 10^778 •6296 11-309 24) 25 •5741 10-012 •5926 10-481 •6111 10-9751 •6296 ir494 •6481 12-037 25 ) 2G •5926 10-716 •6111 11-198 •6296 11-704! •6481 12-235 •6667 12-790 26 ) 27 •6111 11-444 •6296 11-938 •648J 12-4.17| •6667 13-000 •6852 13-.568 27 ) s28 •62J6 12-198 •6481 12-704 •6667 13-235 •6852 13-790 •7037 14-370 28 2i) •6481 12-975 •6667 13-494 •6852 14-037 •7037 14-605 •7222 15-198 29 ) 30 •6667 13-778 •6852 14-309 -7037 14-864 •7222 15-444 •7407 16^049 30 31 •6852 14^605 •7037 15-148 -7222 15-716 •7407 16-309 •7593 16^926 31 32 •7037 15^457 •7222 16-012 •7407 16-.593 •7593 17-198 •7778 17-8-27 32 ) 33 •7222 16333 •7407 16-901 •7593 17-494 •7778 18-111 •7963 18-753 33 34 •7407 17-235 •7593 17-815 •7778 18^420 •7963 19-049 -8148 19-704 34 35 •7593 18-160 •7778 18-753 ■7963 19-370 •8148 20-012 -8333 20-679 35 3« •7778 19111 •7963 19-716 -8148 20-34() •8333 21-000 -8519 21-679 36 37 •7963 20-086 •8148 20-704 -8333 21-346 •8519 22-012 -8704 22-704 37 38 •8148 21-086 •8333 21-716 -8519 2-2-370J •8704 23-049 •8889 23^753 38 39 •8333 2-2-111 •8519 22-753 -8704 23-420 •8889 24-111 •9074 24-827 39 ) 40 •8519 23-160 •8704 23-815 -8889 24-494 •9074 25-198 •9259 25-926 40 j ^ 41 •8704 24-235 •8889 24-901 •9074 25-593 •9259 26-309 •9444 27^049 41 j 42 •8889 25-333 •9074 26^012 •9259 26-716 •9444 27-444 •9630 28-198 42 S ' 43 •9074 26-457 •9259 27-148 •9444 27-864 •9630 28-605 •9815 29-370 43 S I 44 •9259 27-605 •9444 •28-309 •9630 29-037 •9815; 29-790 1-0000 30-.568 44 ,45 •9444 28-778 •9630 29-494 •9815 30-235 1-0000 31-000 1-0185 31-790 45 S 46 •9630 29-975 •9815 30-704 1-0000 31-457 1^0185 32-235 1-0370 33-037 46 ) 47 •9815 31-198 1-0000 31-938 1-0185 32-704i r0370 33-494 1-0556 34-309 47 ) 48 1-0000 32-444 1-0185 33-198; 1-0370 33-975! r0556! 34-778 1-0741 35-605 48 ) / 49 10185 33-716 1-0370 .34-4811 1-0556 35-272 r074L 36-08() 1-09-26 36-926 49 \ j50 ) 1-0370 35-012 1-0556 35-790 1-0741 36-593 1-0926 j 37-420 riiii 38-272 50 J s 7 8 < J 1 1 t. ^ -„.' J 17' 198 E 1 SLOPES 1 TO 1. — ) 11 13 13 14 15 fo ) Mult. •2037 Add. Mult. Add. Mult. Add. Mult. Add. Mult. Add. 1-494 •22-22 1-778 •2407 2-086 •2593 2-420 •2778 2-778 ol \ 1 •2222 1-642 -2407 l-93« •2593 2-259 •2778 2 605 •2963 2-9751 IS ) 2 •2407 1-815 -2503 2-1-23 •2778 2-457 •2963 2-815 •3148 3-198 2S ) 3 •2.)93 2-012 -2778 2-333 •2963 2-679 •3148 3-049 •3333 3-444i 3S ) 4 •2778 2-235 -2903 2-568 •3148 29-26 •3333 3-.309 •3519 3-7161 4) ) ^ •2903 2-481 -3148 2-827 •3333 3-198 •3519 3-593 •3704 4-012 5S ) fi •3148 2-753 -3333 3-111 •3519 3-494 •3704 3-901 •3889 4-333 6 ) 7 •3333 3^049 -3519 3-420 •3704 3-815 •3889 4-235 •4074 4-679 7( 8 •3;)19 3-370 -3704 3-753 •3889 4-] (51 •4074 4-.593 •4259 5-049 8 9 •3704 3716 -3889 4-111 •4074 4-531 •4259 4-975 •4444 5-444 9 10 •3889 4^086 -4074 4-494 •4259 4-92(5 -4444 5-383 •4630 5-864 10) 1^ •4074 4^481 •4259 4-901 •4444 5-346 •46.30 5-815 •4815 6-.309 11 12 •4259 4-901 •4444 5-333 •4630 5^790 •4815 6-272 •5000 6-778' 12 ( (l3 •4444 3-346 •4630 5-790 •4815 6-2.59 •5000 6-753; •5185 7-272113 ( (l4 •4(530 5-815 •4815 6-272 •5000 6-753 •5185 7-259 •.5370 7-790; 14 ( S15 •4815 6-309 -5000 6-778! •5185 7-272 •.5370 7-700 •5556 8-333 15 16 17 •5000 6-827 -5185 7-309 ; -5370 7-815 •555(5 8-346 •5741 8-901 16 •5185 7-370 -5370 7-864 1 -5556 8-383 •5741 8-9-26 i •5926 9-494 j 17 ( ) 18 •5370 7-938 •5556 8-444! -5741 8-975 •5936 9-.531 •6111 10-111 ! 18 ( (l9 •5556 8-531 -5741 9-049 -5926 9-593 •6111 10-160 •(5-296 10-7.531 19 ( J 20 •5741 9^148 -5926 9-679 -(Jlll 10-235 •6-296 10-815 •6481 11-420 -20 ( 21 •592G 9^790 •6111 10-333 -6296 10-901 •6481 11-494 •6667 12-111 21 \ ^22 •6111 10457 •6296 11-012 -6481 11-593 •6667 12-198 •68.52 12-827 -22 ( 23 •6290 1M48 •6481 11-716 -()6ii7 12-309 •6852 12-9-26 •7037 13-568 23 ( 24 •6481 11-864 •6(567 12-444 -6852 13-040 •7037 13(579 •72-22 14-333 24 ( 2.-) •6667 12-6")5 ■1)852 13- 1 ltd •7037 13-815 •7222 14457 •7407 15-123 25 ( 26 •6852 13-370 -7037 13-1)75 -7222 14-605 •7497 15-2.59 •7593 15-938 26 ( 27 •7037 14-160 -7222 14-778 -7407 l.')-4-20 •7593 16-086 •7778 16-778; 27 ( 28 •7222 14-975 •7407 15-605 -7593 1(3-259 •7778 16-938 •7963 17-642 ■28 S2t) •7407 15-815 •7593 16-457 -7778 17-123 •7963 17-815 •8148 18-531 29 30 •7593 16-679 '7778 17-333 •7963 18-012 •8148 18-716 •8333 19-444 30 ( 31 •7778 17^568 •7963 18-235 •8148 18-926 •8333 19-642 •8519 20-383 1 31 ) 32 •7963 18-481 •8148 19160 •8333 10-8(54 ■ih) 20-593 •8704 21-346132/ 33 •8148 19-420 •8333 20-111 •8519 20-827 •8704 21-.568 •8889 22-333133/ (34 •8333 20-3H3 •8519 21-0f6 •H704 21-H15 •8880 22-5(58 •9074 ■23-346 34/ (3.) •8519 21-370 •8704 22086 •f^889 22-827 •9074 23-593 •9-259 -24-383 35/ ^36 •8704 22-3H3 •8889 23-111 •9074 23-8(54 •9-250 24-642 •9444 25-444 30 )37 38 ^3i( •8889 23-4-20 •9074 24-160 •9259 24-926 •9444 25-716 •9:530 •26-531 37 •9074 24-481 •9259 25-2:W •9444 ■2(5-012 •9630 26-815 •9815 •27^(542 38 •9259 25-5f)8 -9444 26-333 -9630 27-123 •9815 27-938 1-0000 ■28-778 39 Uo •9444 26-679 -9630 27-457 •9815 28-259 roooo 29-086 1-0185 29-938 40 ) k U3 )44 S45 ',46 •9630 27-815 -9815 28-605 roooo 29-420 1-0185 30-259 1-0370 31-123 n •9815 28-975 1-0000 29-778 10185 30-605 1-0370 31-457 1^0.556 32-333142) 1-OOUO 30-160 1-0185 30-075 1-0370 31-815 1-0.5.56 32-(579 r0741 33-.5(5H:43) 10185 31-370 1-0370 32198 1-U556 33-019 1-0741 33-926 1-092(5 34-827 44 ) 10370 32-605 1-0556 33-444 1-0741 34-309 1-0926 35-198 1-1111 36-111 45) 1-0556 33-864 1-0741 34 716 109-26 35-593 1-1111 36-494 1-1296 37-4-20 46) U7 1-0741 35-148 1-0926 36012 I-JIU 36-901 1-1200 37-815 1^1481 38-753 47 ) U8 1 0926 36-457 1-1111 37-333 1-1296 38-235 1-1481 39-160 1- 16(57 40-111 48) \ 4'J J-lUl 37^790 1-1296 38-679 1-1481 39-593 1-1667 40-531 1-1852 41-404,49) 5iJ L 1-1296 39^148 11481 40-049 1-1(567 40^975 1-1852 . ''■'-' 1-2047 4-2-i»01|50 ) 11 / 13 13 14 15 1 J TABLE I. — BASE SLOPES 1 TO 1 199 A 16 17 18 19 20 ] 1 i\ Mult. Add. Mulu Add. Mult. Add. Mult. Add. Mulu Add. ) -2903 3-160 -3148 3-568 1 -3333 4-000 1 •3519 4-457 •3704 4-938 ) 1: -3148 3-370 •3333 3-790 1 -3519 4-234 -3704 4-704 •3889 5^198 1 ( ) 2 -3333 3-605 •3519 4-037 i •3704 4-494 -3889 4-975 •4074 5^481 ^ ) 3[ -3519 3-8W •3704 4-309 -388y 4-778 i -4074 5-272 -4259 5^790 ) 4 -3704 4-148 •3889 4-605 -4074 .5-086 i -4259 5-593 •4444 6-123 4 ) 5' -3889 4-457 •4074 4-926 -4-259 5-420 -4444 5-938 •4630 6-481 5 6| -4074 4-790 •4259 5-272 •4444 5-778, •4630 6-309 •4815 6-864 6 ) 7| -4259 5-148 .4444 5-642 •4630 6-1601 •4815 C-704 •5000 7-272 7 8 -4444 5-531 •4630 6-037 •4815 6-568 -5000 7-123 -5185 7-704 8 ) 9; -4630 5-938 -4815 6-457 •5000 7-000 i •5185 7-568 -5370 8-160 9 10 ; -4815 6-370 •5000 6-901 •5185 7-457 -5370 8-037 -5556 8-642 10 j 11 -5000 6-827 •5185 7-370 ■5370 7-938 -5556 8-531 -5741 9-148 11 ( 12 -5185 7-309 •5370 7-864 •5556 8-444 •5741 9^049 -5926 9-679 12 13: -5370 7-815 •5556 8-383 •5741 8-975 i •5926 9^593 -611] 10-235 13 ; 14 -5556 8-346 •5741 8-926 -5926 9-531 1 -6111 lO'lOO •6296 10-815 14 ) 15 -5741 8-901 •5926 9-194 •6111 10-1111 -6296 10-753 •6481 11-420 15/ ) 16' -5926 9-481 •6111 10-086 •6296 10-716J •6481 11-370 •6667 12-049 16 17| -6111 10086 •6296 10-704 -&181 11-3461 -6667 1-2-012 -6852 12-704 17 ) ) 18 -6296 10-716 -6481 11-346 •6667 12-000 •6852 1-2-679 -7037 13-383 18 ) ) 19 -6481 11-370 •6667 12-012 •6852 1-2-679] •7037 13-370 •72-22 14-086 19 / )2U -6667 12-049 •6852 12-704 •7037 13-383 -7222 14-086 -7407 14-815 20) Nl •6852 12-753 •7037 13-420 •7222 14-111 -7407 14-827 -7593 15-568 21 J 22 •7037 13-481 •72-22 14-160 •7407 14-864 -7.593 15-593 -7778 10^346 22 23 •72-22 14-235 •7407 14-926 •7593 15-642 -7778 16-383 -7903 17^148 23 24 -7407 15-012 -7593 15-716 •7778 16-4441 •7963 17-198 -8148 17^975 24 25 •7593 15-815 •7778 16-531 -7963 17-272 •8148 18^037 -8333 18-8-27 25 26 -7778 16-642 •7963 17-370 •8148 18-123| -8333 18-901 -8519 19-704 26 27 •79G3 17-494 ■8148 18-235 -8333 19-0001 -8519 19-790 •8704 20-605 27 28 •8148 18-370 -8333 19-1-23 •8519 19-901 •8704 20-704 •8889 21-531 28 29 -8333 19-272 •8519 20-037 •8704 20-827 -8889 21-642 •9074 22-481 29 J 30 •8519 20-198 •8704 20-975 -8889 21-778 -9074 22-605 -9-259 23-457 30) ; 31 -8704 21-148 •8889 21-938 -9074 22-753 •9259 23-593 •9444 24-457 31 32 -8889 22-123 -9074 22-926 -9-259 23-753 •9444 •24-605 -9630 25-481 32 33 -9074 23-123 •9259 •23-938 •9444 24-778 -9630 25-642 -9815 26-531 33 34 •9-259 24-148 •9444 24-975 -9630 25-827 •9815 20-704 1-0000 27-005 34) 35 -9444 25-198 •9630 26-037 •9815 •26-901 1-0000 27-790 1-0185 23-704 35 36 •9630 26-272 •9815 27-1-23 1-0000 28-000 1-0185 28-901 1-0370 29-827 36 37 -9815 27-370 1-0000 28-235 1-0185 29-1-23 1-0370 30-037 1-0556 30-975 37 ^38 1-0000 28-494 1-0185 29-370 1-0370 30-272 1-0556 31-198 1-0741 32-148 38 ( 39,rU185 29-642 1-0370 30-531 1-0550 31-444 1-0741 32-383 1-09-26 33-346 39 ) / 40 1-0370 30-815 1-0556 31-716 1-0741 3-2-642 1-0926 33-593 1-1111 34-568 40^ ( 41 j 1-0553 32-012 1-0741 32-926 1-0926 33-864 1-1111 34-827 1-1296 3.5-815 «S ( 42 1-0741 33-235 1-0926 34-liiO 1-1111 35-111 1-1296 36-086 1-1481 37-086 42 / 43 1-0926 34-481 1-1111 35-420 1-1296 36-383 1-1481 37-370 1-1667 38-383 43^ (44 run 35-753 1-1-296 36-704 J-1481 37-679 1-1667 .38-679 1-1852 39-704 44, / 45:l-12a6 37-049 1-1481 38-012 1-1667 39-000 1-1852 40-012 ]-2047 41-049 45 ( 46; 1-1481 38-370 1-1667 39-346 1-1852 40-346 1-2047 41-370 1-22-22 42-420 46 / 47 1-1667 39-716 1-1852 40-704 1-2047 41-716 1-2222 42-7.53 1-2407 43-815 47^ ( 48,1-1852 41-086 1-2047 4-2-086 1-2-222 ' 43-111 1-2407 44-160 1-2593 45-235 48 49 1-2047 42-481 1-22-22 43-494 11-2407 ; 44-531 1-2593 45-5J3 1-2778 46-679 49 J50 1-2-222 43-901 1-2407 44-926 1-2.593 ' 45-975 1-2778 } 47-049 1-2963 48-148 50 — ( \ 1 L6 17 18 1 9 S 50 200 TABLE I. — BASE 1. — SLOP: 1 TO 1. I 31 33 ■• ""^T" 35 1 1 Mult. AiW. Mult. -4074 Add. 5-975 Mult. ■4259 Add. Mult. Add. Mult Add. I •3889 5-444 6-531 ■4444 7-111 -4630 7-716 1 •4074 5-716 -42.19 6-259 -4444 6-8-27 -4630 7-420 -4815 8-037 1 ( •2 •4-259 6012 -4444 6-568 -4630 7-148 -4815 7-753 -5000 8-383 2( 3 •4444 6-333 -4630 6-901 -4815 7-494 -5000 8-111 -5185 8-7.53 3 ( 4 •4r,30 6-(i79 -4815 7-2.59 7-642 •5000 7-864 -5185 8-494 -5370 9-148 4) 5 •4815 7-049 -5000 -5185 8-259 -5370 8-901 •5556 9-568 ^i G •5i)0U 7-444 -5185 8049 -.5370 8-679 -5556 9-333 -5741 10-012 6 ) 7 •5185 7-864 •5370 8-481 -5556 9-1-23 -5741 9-790 •59-26 10-481 A ■8 •5370 8-309 •5556 8-938 •5741 9-593 -.59-26 10-272 •6111 10-975 8< a •5556 8-778 •5741 9-420 -5926 l(J-086 -6111 10-778 •6296 11-494 9 J 10 •5741 9^272 •5926 9-926 -6111 10-605 -6296 11-309 •6481 12-037 10 ) J 11 12 •5926 9^790 -6111 10-457 -6296 11-148. -6481 11-864 -6667 12-605 11 } •Gill 10-333 -6296 11-012 •64>^l 11-716 •6(567 12-444 •6852 13-198 12 / 13 •(1296 JO-901 -6481 11-593 -6i)67 12-30;) •(5852 13-049 -7037 13-815 13 ) 14 •{)481 11-494 -6667 1-2-1981 -(58.52 l-2-9-2() •7037 13-679 •7-222 14-457 14 ) 15 •66(57 12-111 •6852 1-2-8-27 1 -7037 13-.5681 •7222 14-333 •7407 15-1-23 15 ) 16 -()852 12^753 -7037 13-481 •7:^2-:> 14-235 •74l')7 15-012 -7593 15-815:16 ; ■ n •7037 13-42.) -7-222 14-160 -7407 14-9->ii: •7.593 15-71(> -7778 16-531 In I 18 •7-?22 14-11 J -7407 14-864 -7593 1.5-642' •7778 16444 -7963 17 272118 I ; 19 •7407 14-827 •7593 15-503 •7778 16-383 •7963 17-198 •8148 18-037 19 •20 •7593 15-568 •7778 16-346 -7963 17-148 ■8148 17-975 -8333 18-827 20 !-i •7778 16333 •7963 17-123 -8148 17-9:i8 -8333 18-778 -8519 19-642 21 j '22 •7963 17- m •8148 17-92(5 •A333 18-7.53 j -8519 19-605 •8704 20-481 1-22) •23 •8148 17-938 ■)*-XX.\ 18-7.53 -8519 19-593 -8704 20-4.57 -8889 2i-;j4(5]-2;i ) ' 24 •83;J3 18-778 ■^:A^i 19-605 -8704 •20-4.57 -888;) 21-3:53 -9074 •2-2-235! -24 ) 25 •8519 19-M2 •8704 -20-481 -8889 21-346' -9074 22-2:55 i •y-2.59 -2:5- 14^ 25 ) 20 •8704 20-531 ■l^r^'^ 21-383 -9074 •22-2.59 1 -9-2.59 23-160 -9444 24-086.-26 ) ' 27 •8889 21-444 -9074 22-309 -i«.59 2;M98 -9444 24-111 •9(530 •25-040 i 27 I {26 •9074 •22-:i83 •9-259 -23-2;')9 ■24-235 •2;V23.5 -9444 24-1(50, -9(530 25-086 -9815 26-o:57,-28 I ' 29 ;3« •9-259. 2;}-346 -9444 -9630 25-148 -9815 26-086 1-0000 27-049 29 ) •9444 24-333 •9630 -9815 26-160 1-0000 27-111 1-0185 28-086 30 9 31 •9630 25-346 -9815 26-259! 1-0000 •27-198 1-0185 28-160 1-0370 29-148131 j 3-2 •9815 2ti-383 l-oono 27-309 1-0185 2--2.59 l-0:!7() 29-2:55 1-05.5(5 :io-2:i5 .32 } 33 I-ODIC) •27-444 1-0IS5 2-<-:Kr 1-0:570 •29-34(5 1-0.5.56 30-3:13 1-0741 31-;j46i33) 34 l-t)185 28-53 1 i-o;i7() •29-481: 1-05.56 30-4.57, 1-0741 31-457 1-0926 1-1111 32-481 34 35 l-037(> 2:)-642 1-05.-.6 30-1505' 1-0741 3l-.5.)3 l-(J9-26 32-605 3:5-(542 35 3G 10556 30-77f^ 1-0741 31-7.53' r092f5 32-7.53 1-1111 33 778 1-1296 34-827 :}6) 37 ro74i 31-93H 1 0921) 3-2-9-2(5 lllll 3;{!l38 1-1-296 34-975 1-1481 36 037 :57 ) ■ 38 1-0926 33123 lllll 34-1-23 1-1-206 :{5148 1-I4S1 36-198 1-1667 37-272 38 ) . 39 Jllll 34-33:5 1-1 -291) 35-346 J 1-1481 3(>-3-<3 1-1667 37-444 1-1852 ;w-5:5i :59 ) J 4li 1-1296 35-568 11481 36-593 1-1667 37-642 1-18,52 38 716 1-2047 39-815 40 j > 41 1-1481 36-827 1-1667 37-864 1-1852 .38-9-26 1-2047 40-012 1-22-22 41-123 41 ) M-» 1-1667 38-1] 1 1-1'^52 3!)-l(>0 1-2047 4f)-235 1-2-222 4KJ33 1-2407 42-4.57 42) > 43 II ^52 39-4-2() 1-2017 40-481 1-2-2-22 4l-,5()8 1-J407 4-2-679 1-2593 4.3-815 43 ) ; 44 l-2i>4V 40-75:i 1-22-22 41 -.-27 1-2407 42-!f2f) 1-251):5 44-049 1-2778 4.5- 198] 44 ) ) 45 1-2222 42-111 1-2407 43- IDS 1"259:{ 44-30!) 1-2778 45-444 1-2963 46-(505l45 ) M6 1-24)7 43-494 1-2593 44-.59:J 1-2778 4.5-71(5 l-29t53 46-864 1-3148 48-o:57 J6 ) ; 47 l-2r.93 44-91)1 1-2778 46-012 l-2iH53 47-14S 1-3148 48-309 1:5333 49-494 47 48 ^ 48 1-2778 46-333 l-2i)63 47-457 1-3148 48-(505 1-3333 49-778 1-3519 50-975 No r2i«'.3 47-790 1-3148 48-9-26 i-:5;533 .50-086 1-3519 51-272 r37W 52-481 49) ;5i) ) 1-3148 49-272 1-3333 50-420 1-3519 51-593 1-3704 52-790 1-3889 54-012 50) ) 2 1 J 83 s i3 34 3 5 TABLE II.— THIRD SERIES. Basc 1.— Slopes V, to I. 202 TABLE II. BASE 1. SLOPES 1| TO 1 ) S Mult. Add. 0| -iiii 1| -12^(3 \ 2i -1481 ) 3| -lOGTi r,; •2;):{7i i-ob.i ( 6i •222ij 2-OOU ) -\ -2407 ( a' -27781 { 10 •2a6'5i 13| N20 21 •79;") •963 1-167 1-407 2-352 2-741 3-167 3-630 4-130 4-667 5-241 5-852 6-500 7-185 7-907 8-667 9-463 10-290 11-167 12-074 13019 14-001) 15-019 16074 -314Si •3333 -3519 -3704! -388:» -4074 ■4259' -4444' -4()30' -4815 j -5000! •5185 -5370 1 -5556, -5741 -5926 -611 Ij 17-167 •629!) lH-296 -6481 19-463 -6667 20-667 -7037 -72-32 •7407 -7593 •7778 -7963 -8148 \ o»i -8333 ( 40 -8519 •8704 43' -90741 44 -9259' 45' -9444' 46 -9630 : 47: -9815! 48 1-0(WO| 49; 1-0185' 50' 1-0370' 21-907 23-185 24-500 25-852 27-241 28-667 30- 13 J 31-630 33' 167 34-741 36-352 38-000 3;)-685 41-407 43-167 44-963 4i)-796 48-667 50-574 52-519 -3333 -3519 -3704 -388J -4074 -4-259 -4444 -4630 -4815 -500:) 7037 22-722 7222 24-019 25-352 26-722 28-130 29-574 31056 32-574 34130 35-722 8 9 10 1 Mult. Add. Mult. Add. Mu,t. Add. k •1481 M85 •1667 1.500 -18.52 1-8.52 ^\ -1667 1-352 •18.52 1-685 -2037 2-056 1 ( •1852 1-556 -2037 1-907 -2222 2-296 2 -2037 1-796 •22-22 2167 "2407 2-574 3 •222' 2-074 •2407 2-4G3 •2593 2-839 4^ -2407 2-389 •2593 2-796 3-167 -2778 3-241 5^) •25J3 2-741 •2778 -2963 3-630 6 •2778 3-130 -2963 3-.)74 -3148 4-056 7^ -296J 3-556 •3148 4019 •3333 4-519 8 ; -314S 4-019 -333? 4-50) -3519 5-019 9 -3333 4-519 •3519 5-019 •3704 5-556 10 -3519 5-056 -3704 5-574 •3889 6-130 11 ( -3704 5-63; •388i) 6-167 •4074 6-741 12 ( -3889 6-241 -4074 6-79;i -42.59 7-:}8.» 13^ -4074 6-889 •4259 7-463 -4444 8-074 14 ( -4259 7-574 -4444 8-167 •4630 8-796 15/ -4444 8-296 -4630 8-907 -4815 9-.556 16/ •4630 9056 -4815 9-685 -.5000 10-352 i^N -4815 9-852 -5000 10-500 -5185 \v\m \^^^ •5000 10-685 •5185 11-352 -5370 12-056 19 r •5185 11.556 •5370 12-241 -555(5 12-963 •20^ •5370 12-463 •5556 13-167 -5741 13-907 2W -5556 13-407 •5741 14-130 -5926 14-889 •w ; •5741 14-389 -.5926 15-130 -6111 15-907 23 ) •5926 15-407 •6111 16-167 -6296 16-963 24^ -6111 16-463 •6296 17-241 -64^1 18-056 'i:^ , •6296 17-5.J6 -6481 18-352 -6667 \^^■\.^h •Z\i( •6481 18-685 •6667 19-500 •68.52 20-352 27 J -6667 19-852 •6852 20-685 •7037 2l-.55li ■iii t -6852 21-051) •7037 21-907 -7222 22-796 29/ -7037 22-296 •7222 23-167 •7407 24-074 30) -72-22 23.574 •7407 24-463 •7593 25-389 31! -7407 24-889 •7.593 25-796 •7778 26-741 32^ -7593 26-241 •7778 27167 •7963 28- 130 33 I •7778 27-ii30 -7yt)3 28-574 •8148 29-556 .34 •7963 29-0.16 -8148 30-019 •8333 31-019 35 •8148 30-519 -8.333 31-.')00 -8519 32-519 ■M) -8333 32-019 -8519 33-019 -8704 34-05:; 37) -8519 33-556 -8704 34-574 •8889 35-630 38) -8704 35-130 -8889 36-167 -9074 37-241 39) •8889 36-741 -9074 37-796 •9-259 38-88i» 40; -9074 38-389 •9259 39-4()3 •9444 40-574 41 -9259 40-074 -9444 41-167 •9630 42-29) 42 5 -9444 41-796 •963.) 4-2-907 -9815 44-056 4:j ) -9630 43-55(i •9815 44 685 1-0000 45-852 44 -9^15 45-352 ]-0;MM) 46-500 1-0185 47-685 45 > 1-0000 47-185 1-0185 4.S-352 1-0370 49-5.56 46 1-0185 49056 10370 .50-241 l-0.').i6 51-4()3 47 1-0370 50-963 1-0,1.56 52-167 1-0741 53-40: 48 1-0.556 52-907 1-0741 54-130 1-0926 55-389 49 1-0741 54-889 10926 56-130 1-lJll 57-407 50 8 « » 1 1 TABLE IT. — BASE 1. — SLOPES li TO 1 203 r 11 i« 13 " 1 5 1 > :1 Mult. AdiL 2-241 Miilu AdJ. M«It. .„.. Mult. Add. Mult. Add. 1 ( " •2037 •2222 2-667 •2407 3-130 •2593 3-630 ! "2778 4-167 ) S 1 •2222 2-463 •2407 2-907 •2593 3-389 •2778 3-9l)7 ■2963 4-463 1 ,' ii •2407 2^722 -2593 3-185 •2778 3-685 •2963 4-2-22 -3148 4-796 2 ( ^ ■2.W3 S^Ol'J •2778 3-500 •2963 4-019 •3148 4-574 •3333 5167 ^) / 4 •2778 3-352 •2963 3-852 •3J48 4-38!> •3333 4-903 •351!) 5-574 -4 / 5 •2963 3-7-22 •3148 4-241 •3333 4-796 •3519 5-389 •3704 6-019 5$ I <^ •3148 4-130 •3333 4-667 •3519 5-241 •3704 5-852 •3889 6-500 6) ' •3333 4-574 •3519 5-130 -3704 5-722 •3889 6-352 •4074 7-019 7 i « •3519 5-050 •3704 5- 63 J •3889 6-241 •4074 0-889 •4259 7- .574 8 (* 9 •3704 5574 •3889 6-167 •4074 6-79:i •4-2.59 7-463 •4444 8-167 ^ ) jlO •3889 6-1^0 ■4074 6-741 •4-259 7-389 •4444 8-074 •4630 8-796 10 j ^^ •4074 fr722 •4259 7-352 -4444 8-019 •4630 8-722 •4815 9-463 11 i 12 •4259. •1444 7^352 •4444 8^000 -4f)30 8-685 •4815 9-407 •5000 10-167 12 ( 13 8-019 •4630 8-685 •4815 9-389 -59it0 10- 130 •5185 10 907 13 )l-l •4.i30 8-722 •4815 9-407 •5000 10-130 •5185 10-889 -5370 11-685 14 )l5 •4815 9-463 •5000 10-167 •5185 10-907 •5370 11-685 -5550 12-500 15 1« -50Uu 10 241 -5185 10-963 •5370 11-722 •555t3 l-2-3li) •5741 13-352 16 17 •5185 ll-05i5 •5370 11-790 •5556 12-574 •5741 13-389 •5926 14-241 17 18 •5370 11-907 -5556 12-667 -5741 13^403 •5926 14-296 •6111 15-167 18 19 •555() 12-796 -5741 13-574 -5926 14-389 •6111 15-241 •6296 16130 19 20 -5741 13-722 •5926 14^519 •Gill 15-352 •6296 16-222 •6431 17-130 •20; ?21 •5926 14-685 •6111 15^5;)0 •6296 16-352 -6481 17-241 -6667 18-167 21 22 •6111 15-685 •6296 16-519 •6481 17-389 •6667 18-296 -•)852 19-241 22 23 •0290 16-722 -6481 17-574 •6667 18-46:i -6852 19-389 -7037 20-352 •23 24 •G481 17-796 •6667 18-667 -6852 19-574 •7037 20-519 •72-22 21-.VI(i 0.1 J 23 •0667 18-907 •6852 19-796 •7037 20-722 -7222 21-685 •7407 22-!- - J") 26 •6852 20-056 •7037 20-963 •7222 21-997 •7407 2-2-889 7593 23-9U: 2i3 )27 •7037 21-241 -7222 2-2-167 •7407 23-139 •7593 24-130 •7778 25167 27 ' 28 ■7222 22-4(5:? -7107 2J-4:i7 •7593 24-3^:1 •7778 25-407 -7963 26-463 -28 29 •7407 23-722 -7593 24-685 •7778 25-685 -7963 20-722 •8148 27-796 29 30 -7593 25-019 •7778 26-000 -7963 27-019 •8148 28-074 •8333 29-167 30 )31 •7778 26-352 ■7963 27-352 •8143 28-389 -8333 29-463 •8519 30-574 31 32 •7903 27-722 -8148 28^741 •8333 29-796 •8519 30-889 •8704 32-019 32 ;- 33 -8148 •29-130 -8333 30^167 -8519 31-241 •8704 32-352 •8889 33-.50;) .33/ 34 -8333 30-574 -8519 31-630 -8704 32 722 -8889 33-8.52 •9074 35-019 34; 35 •8519 32-056 -8704 33-130 ■8889 34-241 •9074 35-389 •9-259 36-574 35} )3{5 -8704 33-574 -8889 34-667 -9074 35-796 •9-259 3G-9-,i3 •9144 38-167 36.) )37 •8889 35-130 •9074 36-241 -y259 37-389 -9444 38-574 -9630 39-796 37/ )38 •9074 36-7-22 •9259 37-852 -9444 39-019 •9630 40-2-22 -9815 41-463 38 : )39 •9259 38-352 •9444 39-500 -91)30 40-685 •9815 41-907 1-0000 4.3-167 39 >40 •9444 40-019 •9630 41-185 -98J.5 42-389 1-0000 43-630 1-0185 44-907 40 $41 •9630 41-792 •9815 42-907 1-0000 44-130 I-OI80 45-389 1-0370 46-685 41 ^42 •9815 43-463 1-0000 44-667 1-0185 45-907 1-0370 47-185 1-0.5.56 48-.50.I 42 )43 l^ODOO 45 241 1-0185 46-463 1-0370 47-722 1-0.5.56 49-019 1-0741 50-352 43 7 44 1-0185 47-05! ; 1-0370 48-2.)6 1-0556 49-571 1-0741 50-889 1-09-26 52^2 1 1 44 )45 1/0370 48-907 1-0556 50-167 1-0741 5I-46S l-oy26 52-79(5 1-111 1 54-107 45 ?46 1^055o 51-796 1-0741 52-l:74- 1-0926 53-389 l-llll 54-741 1-1-29'; .5I>-13() 46 47 r0741 52^72-J 1-09-26 54019 1-im 55-352 1-1290 5()-722 1-N-=1 .58-1311 47 /48 l()y2!i 54-685 l-llll 56-;)0:)^ 1-12^(6 57-352 1-1481 .5S-741 i-i6';7 t;0-Hi7 48 )49 Mill 56-()85 1-1296 58-019 1-1481 59-389 11607 60-796 118.52 62-241 49 ^50 1129G 58-722 1-1481 60-074 M687 61-463 118.52 62-889 1-2047 64-3.52 50 r 11 X. . ' 13 '' 1 1 5 204 TABLE II. BASE 1. SLOPES 1^ TO 1. J" ) 16 17 18 19 30 n ) Mult. Add. Mult. Add. Mult. Add. Mult. Add. Mult. Add. 1' / ro •2963 4^741 •3148 5352 •3333 6-000 -3519 6-685 •3704 7-407 ; 1 •3148 5-056 •3333 5-685 •3519 6-352 •3704 7-056 •3889 7-796 1 ) •3333 5-407 •3519 6-056 •3704 6-741 •3889 7^463 •4074 8-222 2 ; ! ^ •3519 5-796 •3704 6-463 •:{889 7-167 •4074 7^907 •4259 8-685 3 / 4 •3704 6-222 •3889 6-907 •4074 7-630 •4259 8-389 •4444 9^185 4 / 5 •3889 6-685 •4074 7-389 -4-259 8-130 •4444 8-907 •4630 9-722 5 / « -4.)74 7^185 •4259 7-907 •4444 8-667 •4630 9-463 •4815 10^296 6/ 7 -4259 7^722 •4444 8-463 •4630 9-241 •4815 10^056 •5000 10^907 8) 8 -4444 8-296 •4630 9-056 •4815 9-852 •5000 10-685 •5185 11-556 9 -4030 8-907 •4815 9-685 •5000 10-500 •5185 11-352 •5370 12241 9/ ;io •4815 9-556 •5000 10-352 -5185 11-185 •5370 12-056 •5556 12^963 10; 11 ) !" •5000 10-241 •5185 11-056 -5370 11-907 •5556 12-796 •5741 13722 12 •5185 10-963 •5370 11-796 •5556 12-667 -5741 13-.574 •5926 14^519 12 ; 13 •5370 11-722 •5556 12.574 •5741 13-463 •5926 14-389 •6111 15352 13/ ( 14 i -555(3 12-519 •5741 13-389 •59-26 14-2i)6 -6111 1.5-241 •6296 16-222 14 ( 15 -5741 13-352 •5926 14-241 -6111 15-167 -6296 16- 130 -(W81 17-130 15/ ( 16 -5926 14-2-22 •6111 1.5-130 •6296 16-074 -6481 17-056 •6667 18^074 16 ) 17 -6111 1.5130 •6296 16-0.56 -6481 17-019 -6667 18-019 •6852 19-0.56 17) 18 -Gim 16074 •6481 17-019 •6667 18-000 -6852 19-019 -7037 20-074 18 { hj\ -6481 17-056 •6667 18-019 •6^52 19019 •7037 20-05() -7222 21-130 19 J 20 ' -6667 18-074 •6852 19-0.56 •7037 20-074 •7222 21-130 •7407 22-222 20 ^ 21 -6852 22 -7037 19-130 •7037 20130 •72-22 21-167 ■7407 22-241 •7593 23-352 21 20-222 •7222 21-241 -7407 22-296 -7593 23-389 •7778 24519 00 23 -7222 21-352 •7407 22-389 •7593 23-463 -7778 24-574 •7963 25-722 23 ( 24 -7407 25 -7593 22-519 •7593 ■23-574 •7778 •24-667 •7963 25-796 -8148 26-963 24 23-722 •7778 24-796 ■7963 25-907 •8148 27-0.56 -8333 28-241 25 26 -7778 24-963 ■7963 2605() ■8148 27-185 -8333 28-.3.52 -8519 29-556 26 I 27 •7%3 26-241 •8148 27-352 •8333 28-500 -8519 2s»-(585 •8704 30-907 27 / 2sl -8148 •27-556 •8333 28-C)85 •8519 29-8.52 -8704 31056 -8889 32-296 ■28 ? -2 J I -8333 28-907 •8519 30-0.56 •8704 31-24] -8889 32-463 -9074 33-722 29 { 30 •8519 30-296 •8704 31-463 •8889 32-667 •9074 33-907 •9259 35-185 30 )31 •8704 31-722 •8889 32-907 •9074 34-130 •9-259 35.389 •9444 36-685 31 32 ;32 •888J 33185 ■9074 34-389 •9-259 :i5-630 -9444 3(;-907 •9630 38-222 / 33 •9074 34-685 •9259 35-907 -9444 37-167 •9630 38-463 •9815 39-796 33 )34 •9259 36-2->2 •9444 3?463 •96;->2 65-852 1-2407 67-389 1-2593 68-963 1-2778 70-574 1-2963 72-222 ) I . 16 17 18 19 30 TABLE II, — BASE 1. — SLOPES Ih TO 1. 205 31 aa 33 34: 35 l\ Mult. Add. Mult. Add. Mult. Add. Mult. Add. Mult. Add. ) •3889 8-167 -4074 8-963 •4259 9-798 •4444 10-667 •4830 11-574 0( 1 / ) 1 •4074 8-574 -4259 9-389 •4444 10-241 1 •4630 11-130 •4815 12-056 ) 2 •4259 9-019 •4444 0-852 •4830 10-722; •4815 11-630 •5000 12-574 2{ 3 •4444 9-500 •4630 10^352 •4815 ] 1-241 -5000 12-167 •5185 13-1.30 3 I 4 •4630 10-019 •4815 10-889 •5000 11-796 -5185 12-741 •5370 13722 4? 5 •4815 10-574 •5000 11-483 •5185 12^389 -.5370 13-352 •5556 14-352 5( ) 6 •5000 1M67| •5185 12074 •5370 13-019 -5550 14-000 -5741 15-019 6 ) ) " •518") 11-796 •5370 12722 •5558 13-685 -.5741 14-685 -5926 15^722 7 / / 8 •5370 1-2-4G3 •5556 13-407 •5741 14-389 •5926 15-407 -6111 16-483 8 I ) 9 •5550 13-167, •5741 14130 -5926 15130 ■6111 16-187 •6296 17-241 9 ; 10 •5741 13-907: •.5928 14-889 •6111 15-907 •8298 16-963 •6481 18-058 10 ; 11 •5926 14-685 •6111 15-685 •6296 16-722 •6481 17-796 •6667 18-907 111 J l:i •6111 15-500 ; -6296 16-519 •6481 17-574 •8667 18-667 •6852 19-796 12 ) 13 •6296 16-352, •8481 17-3S9 •6367 18-463 -6852 19-574 •7037 20-7-22 13 / 14 15 •6481 17-2111 •8867 18-296 •6352 19-3391 •7037 20-519 •7222 21-685 14 •6607 18-167 •6852 19-241 •7037 2J-352| •72-22 21-500 •7407 22-685 15 ; 16 •6852 19-130 •7037 20-2-22 •7222 21-352 •7407 2-2-519 -7593 23-722 16 ; 1' •7037 20-130 •7222 21-241 •7407 22-389 •7.593 23-574 •7773 24-796 17 18 •72-22 21-167 •7407 22-298 •7593 23-463 •7778 24-667 •7983 25-907 18 19 •7407 22-241 •7593 23-389 •7778 24-574 •7983 25-796 •8148 27-056 19 i2U •7593 23-352 •7778 24-519 •7983 25-722 •8148 26-963 •8333 28^241 20 ) 21 •7778 24-500 •7963 25-685 •8148 26-907 •8333 28-167 •8519 29^463 2i; 22 •7963 25-685 •8148 26-889 •8333 28-130 •8519 29-407 •87U4 30^722 1-22 ) 23 •8148 26-9071 •8333 28-130 •8519 29-389 •8704 30-685 •8389 32-019 23) 24 •8333 28-167 1 •8519 29-407 •8704 .30-685 •8889 32-000 •9074 33-352 24) ) 25 •8519 29-4r)3 •8704 30-722 -8889 32-019 •9074 33-352 •9259 34-722 25 ( 26 •8704 30-796 •8389 3-2-074 -9074 33-389 •9259 34-741 •9444 36-130 26 ) (27 -8889 32-167 •9074 33-463 -9259 34-798 •9444 36-167 •9830 37-574 27 ) (28 •9074 33-.574 •9259 34-889 •9444 38-241 •9630 37-630 •9815 39-058 28) ( 29 •9-259 35-0] 9 •9444 36-352 •9630 37-722 •9815 39-130 l-OOOO 40-574 29 ) ( 30 •9444 36-500 •9630 37-852 •9815 39-241 hOOOO 40-667 1-0185 42-130 30 j J31 32 33 •9630 38-019 •9315 39-.389 roooo 40-796 1-0185 42-241 1-0370 43-7-22 31 ) •9315 3-9-574 l^OOOO 40-983 P0185 42-339 1-0370 43-852 1-0556 45-352 32 ) 1-01)1)0 41-167 1-0185 42.574 1^0370 44-019 1-0558 45-.500 1-0741 47-019 33) 34 i-oia5 42-798 1-0370 44-2-22 1^0556 45-6-^5 1-0741 47-185 10926 48-7-22 34 > {33 1-0370 44-463 1-0556 45-907 1-0741 47-389 1-09-26 48-907 1-1111 .50-483 35 ) ' 38 1-055S 46-187 1-0741 47-830 1-0928 49-130 1-1111 50-867 1-1296 52-241 36 > 37 1-0741 47-907 10926 49-389 1-1111 50-907 1-1298 5-2-463 1-1431 54056 37 ) 38 1-092G 49-(;85 1-1111 .51-185 1-1298 .52-7-2-2 1-1481 54-298 1-1887 .55-907 38 ) 39 Mill 51-500 1-1298 53-019 1^1481 54-574 1-1687 56-167 11852 57-796 39 ) 40 1-1296 53-352 1-14S1 54-889 1-1887 56-483 1^1852 58-074 1-2047 59-722 40 j 41 1-1481 55-241 1-1667 56-796 M852 58^389 1^2047 60-019 1-22-22 61-685 41 ) 42 1-1!)67 .57-167 M852 5S-741 1^2047 60-352 1*2222 62-000 1-2407 63-685 42 ) 43 11852 59130 r2047 80-7-22 1^2-2-22 62-3.52 r2407 84-019 1-2593 65-722^43 ) 44 1-21)47 61^130 1-2-222 82-741 P2407 64-389 1^2593 66-074 1-2778 67-796 i 44 ) (45 1-222-2 63-167 1-2407 64-7J8 1^2593 6 i-48.3 r2778 88-167 r2983 69^907 45 ) {46 1-24(J7 65^241 1-2593 86-889 r2778 88-574 1-2963 70-298 1-3148 72-058 46 ) ( 4'7 1^2593 67^352 1-2778 69-019 1-2983 70-722 1-3148 72-463 1-3333 74--241 47 ( (48 r2778 69-500 1-2963 71-185 1-3148 72-907 1-3.333 74-887 1-3519 76 463 43^ ( 49 1-2963 71-8S5 r3148 73-389 1-3333 75-130 1-3519 76-907 1-3704 78^7-22 49) J50 1 1-3148 73-907 1-3333 75-630 1-3519 77-389 1-3704 79-185 1-3889 81-019 !i a 1 ifi J 83 34 35 J 18 206 TABLE II . — ] E 1. SLOPES 1| TO 1 r 36 37 38 39 30 ^i / ^ Muk. Add. Mult. Add. Mult. Add. Mull. Add. Mult. Add. ( •4815 12-519 •5000 13-500 •5185 14-519 •5370 15-574 •5556 16-667 ^1 ( J •5000 13019 •5185 14-019 -5370 15-056 •55.56 16-130 •5741 17-241 \ 2 •5185 13-550 •53 iO 14-574 -5556 15-630 •5741 16-722 •5926 17-«52 2 S 3 •5370 14-130 •5556 15-167 •5741 16-241 -.5926 17-3.52 •6111 18-500 3 ( 4 •5556 14-741 •5741 15-798 •5926 16-889 ■6111 18-019 •6296 19-185 A \\ •5741 15-389 •592<) 16-463 -6111 17-574 ■6296 18-722 •6481 19-907 5 •5920 16074 •6111 17-167 -6296 18-296 ■6481 19-463 •6667 . 20-667 6 •6111 16 79i; •6296 17-907 -6481 19-056 •6667 20-241 •6852 21-463 ^* \ 8 •6296 17-5.56 •6481 18-685 -6667 19-8.52 •68.52 21-0.56 •7037 22-296 y •6481 18-352 •6667 19-50J •6852 20-685 •7037 21-907 •7-2-22 2:i-167 9( 10 •6667 19185 •6852 20-352 -7037 21-556 •7222 22-796 •7407 24-074 10 j jii •6aV2 20056 •7037 21-241 ■7222 22^463 •7407 23-722 •7593 25-019 11 ( ( 12 •7037 20-963 •7222 22167 -7407 23-407 •7593 24-685 •7778 26-000112 ( 27-019 '13/ ( 13 •7222 21907 .74U7 23130 •7593 2A-M) •7778 25-685 •7963 ( 14 •7407 -22-889 •75:J3 24 130 •7778 25^407 -79()3 •26-722 -8148 28-074 14 I ( 15 •7593 23-907 •7778 2.Vi67 -7963 26-4').3 -8148 27-796 -8333 29-1671 15' ) ^^ •7778 -24-963 •7963 •26-241 -8148 27-.5.-.6 •8333 2.-^-907 •8519 30-296' 16/ ( 17 •7963 26-056 •814to 27-352 -8333 2S-6S5 -8519 30-0.56 •8704 31-463 17 / Iri •8148 27-185 •8333 -28-500 -8519 29-852 -8704 31-241 •8889 32-667 ; 18 > ( jy •8333 28-352 •8519 29-685 -8704 310.56 -8889 32-463 •9074 33-907 19? yM •8519 29-556 •8704 30-907 •8889 32-296 •9074 33-722 •9259 35-1851-20 J 21 •8704 30-796 •8839 32167 •9074 33.574 •9259 .35-019 •9444 36-500 21 •8889 32^074 •9074 33^463 •9-259 34-889 -9444 3(5-352 •9630 37-852 -22 ('23 •9074 33^389 •9259 34-796 -9444 36-241 •9630 37-722 •9815 .39-241 '23 (24 •9-259 34^741 •9444 36- 167 •9630 3:-().30|: -9815 39-13i) hOOUO 40-667-21 ( 2.-) ■9444 3trl30 •9630 37-574 -9815 39-05(5 1-(M)00 4()-.5:4 roi85 42-130 25 ; 2() •9630 37-556 •9rfl5 39019 1-0000 40 519 1-0185 42-0.56 10370 43-630 '-20; 27 •9815 39-019 l-OUOO 40-500 1-0185 42-019 1-0.370 43-.574 1-0.5.5(5 45-l';7 27 ) 2.S ( 2d l^OOOO 4IV51.) 1-0185 42-019 1-0370 43-5.5(i 1 -0.55(5 4.5-130 1-()7!1 46-741 .'8 ; 1-0185 42050 l-0.i70 43-574 1- 0.356 45130 1-0741 4.;-722 1-0926 48-.352|29 30 1^0370 43-630 10556 45167 1-0741 46-741 10926 48-352 1-1111 .50-000 30 (31 1^055l) 45-241 1-0741 46-796 1-0926 48-389 Mill .50^019 1^1296 51(585 31 (32 r0741 46-889: 1-09-21) 48-463 1-1111 .50-07 ll 1-1-296 51-722 I-148I 53-407 32 ) (33 1^0920 48-574 11111 50-167 1-1-296 51-796; 1-14^1 .53-463 1-1(5(57 5.5-167 .13) (34 1-1111 50-296, 1-1296 51-907 \-U6l .5;>-55C.| 1-1667 .55-J41 1-18.52 515-963 34) (:i5 1-1296 52-056 11481 53-685 1-1667 .55-3.52 |-l.-^52 .57-0.5(5 1-2047 58-79(5 35 (30 M481 53-852 1-1667 55-.>00 1-1852 .57 1^5 ■ 1-21.47 58-907 1-2::2J 60-667 .36 (37 M6()7 55-6,^5 1-1852 57-3.V2 1-2047 .5;iu.i(;: l--'-222 60-796 1-2407 62-574 37; (38 M852 57-55ti 1-2047 59-241 1-2-2-22 60-963 1-2407 6-2-7-22 1-2593 (54-519 38; ( 39 1-2047 59-463 1-22-22 61-167 1-2407 6-J-'.l07| 1-2.593 (54-685 1-2778 66-500 39) (40 ^•o.).).) 61-407 12407 63 130 1-2593 64.-89 1-2778 66^1585 1-2963 68-519 40 (41 1-2407 63-389 1-2593 65-130 1-2778 66-907 1-2963 (53^722 1-3148 70-574 41 (42 1^2593 65 407 1-2778 67-167 1-2963 68-9t>3 1-3148 70-79(5 l-3.3:« 72-()67 42 43 1-2778 67-463 1-2963 69-241 1-3148 71-0.56 l-33:{3 72-9(t7 1-3519 74-796143 \ 44 1 2903 69^556 1-3148 71-352 1-3333 73^1 S5 1-3519 75-(i.5(; 1-3704 76-963 44) 45 1^3148 71-685 1-3333 73-500 1-3519 75^.]52 1-3704 77-241 1-3889 79-167 45 ( 40 1^3333 73-S52 1-3519 75-685 1^3704 77^.556 1-3889 79-463 1-4074 81-407 46 ( 47 1^35 19 76-056 1-3704 77-907 1-3889 79-796 1-4074 81-7-22 1-4259 83-685 47 ( (48 1-3704 78-29i; 1-3889 80-167 1-4074 82-074 1-4-259 84-019 1-4444 86-000 i 48) U!) 1-3889 80-574 1-4074 82-463 1-4259 84-389 1-4444 8(5-3.52 1-4630 88-3.52 49) » 1-4074 82-889 1-4259 84-796 14444 86-741 1-4630 88-7-22 1-4815 90-741 50 [ 36 37 38 39 30 TABLE II. BASE 1. — SLOPES Ih TO 1 207 r 31 33 33 Mult. •5741 Add. 17^798 Mi.lt. Add. Mult. Add. •5926 18-963 -6111 20-167 ) 1 •5926 18^339 -6111 19^574 -6296 20-796 ) *> •6111 19-019 -62J6 2J^2-22 -64S1 21-463 n •62SJ6 19-685 -6431 20-907 -6667 2-2167 •64H1 20-389 -6G67 21-63) -6352 22-907 I ^ •6667 21-130 •6352 22-389 -7037 23-685 •6 •6852 21-907 •7037 23-135 -7222 24-500 ■ 7 •7037 22-7-22 •7-2-2.> 24-019 -7407 25-3.52 8 •7222 23-574 -7407 24-839 -7.593 26-2-11 9 •7407 24-46,} -7593 25-79 ; -7778 27-167 )10 •7593 25-389 -7778 26-741 -7963 23130 u •7778 26-3.52 ■7983 27-722 -8148 29-130 12 •7963 27-352 •8143 28-741 -8333 30-167 13 •8148 28-389 •8333 29-79(i -8519 31-241 14 •8333 29^463 •8519 30-839 -8704 32 3.521 15 •8519 30-574 •8704 32-019 -8839 33-500 16 •8704 3r722 •8839 33-185 -9074 34-685 1 |S •8889 32-907 •9074 .34-389 ■9259 35-907 •9074 34-130 •9259 35-630 -9444 37-167 > 19 •92.59 35-389 •9444 36-907 -9630 38-463 20 •9444 36-635 •9630 33^222 -9815 39-796 ) 21 •9630 38-019 •9315 39574 1-0000 41-167 ) 22 •9815 39-3.-IJ 1-0090 40-963 1-0185 4-2.574 ) 23 lOOOJ 40-796 1-0185 'i-2-:m 1-0370 44-019 24 10185 4-2-241 1-0370 43-8.52 1-0556 45-.500 25 1^0370 43-7-22 J -0.556 45-352 1-0741 47-01:) (26 r0553 45-241 1-0741 46-839 1-0926 43-574 (.27 1-0741 46-796 1-09-26 48-463 1-1111 50-167 2d 10926 48-389 1-1111 50-074 1- 1-296 51-796 ( 2y 11111 50019 M296 51^722 1-1481 53-463 J 30 1-1296 51-685 1^1481 53407 1-1667 55-167 31 1-1481 53-389 M667 5.5^130 1-1852 56-907 32 11667 55-1.30 M852 56-889 1-2047 58-685' 33 11852 56-9J7 1-2047 58-685 1-22-22 60-500! ( 34 i-2047 58-722 1-22-22 60-519 1-2407 62-3.52 ( 35 1-2222 60-574 1-2407 62-389 1 1-2593 64-241 i ^36 37 38 r2407 62-463 1-2593 64-296 1-2778 66-167 r2593 64-389 1-2778 66-241 1-2963 68-130 1^2778 66-352 1-2963 68-222 1-3143 70-130; / 39 1-2963 63-352 1-3148 70-241 1-3333 7-2-1671 j 40 r3148 70-389 13333 7-2-296 1-3519 74-241 41 13333 72-463 1-3519 74-389 1-3704 76-352 42 ^3519 74^574 1-3704 76-519 1-3839 78-500 43 r3704 76^722 1-3839 78-685 1 1-4074 80-635 44 1-3889 78-907 1-4074 80-889 1-4-259 82-907' 45 1-4074 81-130 1-4259 83-1301 1-4444 85-1671 46 1-4259 83-3S9 1-4444 85^407 1-4630 87-463' ?47 1-4444 85-635 1-4630 87^722' 1-4815 89-798 ?48 r4630 88-019 1-4315 90^074! 1-5000 9-2-1671 /49 1-4815 90-389 1-5000 92-463 1-5185 94-574' / 50 r5000 92-796 1-5135 94-839 r.5370 97-019 31 33 (3 34: •6296 -6481 -6667! -6352 j •7037 j •72221 •74u7i •7.593 -79631 -8148! i -83331 -8519 -8704 1 •8889 1 -9074 i -9-2591 -9444, •96301 •9815 1 l^OOOO 1^0185| 10370 : 1-0.550 1 1-0741 i 1-0926 1 lllll! 1-12961 1-1481! 1-1667 1-1852 1 1-2047 r2-2-2-2 1-2407 1'2.J93 1-2778' 1-2963 i 1-3148 1-3333 1 1-3519 1 1-3704! 1-3889 1-4074, 1-4259 1-4443 1-4630' 1-4815 1-5000 1-5185' 1-.53701 1-5556 j 21-407 22-056 22-741 23-463 24-222 25-019 25-852 26-722 27-63) 28-574 2.J-55J 30-574 31-63) 32-722 33-852 3.5-019 30-222 37-463 33-741 40-056 41-407 42-796 44-2-22 45-685 47-185 48-7-22 50-296 51-907 53-556 55-241 56 963 58-7-22 60-519 62-352 64-2-22 66-130 63-074 70-056 72-074 74-130 76-2-22 78-352 80-519 8-2-722 84-963 87-241 89-5.56 91-907 94-296 96-7-22 99-185 34: 35 -6481 -6667 -6852 -7037 -7222 -7407 •7.593 •7778 •7963 -8148 •8333 -8519 •8704 •8889 -9074 -9-259 -9444 -9630 -9815 1-0000 1-0185 1-0370 •22-685 23 352 24-056 '24-796 •25-574 26-389 •27-241 23- J 30 •29-056 3,i-019 31^019 7 ' *^; 10 ( j / 3-2-0.50111 { 33- 130 1 12 ( 3-2-2411 13 ( 3.5-339 1 14 ( :«>-574!l5 (* 37^796 1 16 ( 39-0.56; 17 ( 40-3.521 18 ( 41-6851 19 / 43-056 20 ( 44-463121 I 05.56 0741 0926 1111 1296, 1481 ! 1667 1852 1-2047 1-2222 1-2407 1-2593 1--2773' 1-2963! 1-31431 1-3333' I-.35I9I 1-3704 1 1-38891 1-40741 1-4259! 1-4444 1-4630 1-4315 I-.50OO! 1-5185 1-5370 1-5.5.56 45^907 47-389 48-907 50-463 52-056 53-685 55-3.52 .57-056 58-796 60-574 62-389 64-241 66-130 68-056 70-019 7-2-019 74-056 76-130 78-241 80-389 82-574 84-796 37-0.56 89-3." 91-635 94-056 96-463 48 98-907 49 1-5741 il01-a39 50 22 23 24 / 25/ 26 ( 27 ( •28 ( ■29 / 30 / 31/ 32? 33 / 34/ 35/ 36 / 37 / :i8 ■ 39 40 35 TABLE III . — THIRD SERIES. Base 1. — Slopes 2 to 1. p. '"^^■'"^ ^./-^.^-v.^-^^ "^^^^^^ 1 o( ( -5 1 3 3 4: 5 Mult. Add. Mult. Add. Mult. Add. Mult. Add. Mult, Add. 0^617 - ( •0185 0^025 •0370 0-099 •0556 0-222 •0741 0395 •0926 1 •0370 0074 •0556 0-173 •0741 0321 •0926 0-519 •nil 0-765 i( 2 •0556 0173 •0741 0-296 •0920 o-4m •nil 0-691 •1296 0-963 2' 3 •0741 0-321 •0926 0-469 •nil o-m~ -1296 0-914 •1481 1-210 3( ( 4 •0926 0-.519 •nil 0-691 •1296 Q-9li •1481 1-185 •1667 1-506 6( ( 5 •1111 0-765 •1296 0-963 •1481 1-210 •1667 1-506 •1852 18.52 ( 6 •1296 1-062 •1481 1-284 •1667 1-556 •1852 1-877 •2037 2-247 •1481 1-407 •1667 1-654 •1852 1-951 •2037 2-29(5 •2222 2-691 7 ( S 8 •1667 1-802 -18.)2 2^074 •2i)37 2-395 •2222 2-7(55 •24(J7 3-185 8( y •1852 2-247 •2037 2.543 •2-2-22 2-889 •2407 3-284 •2593 3-728 9' 10 •2037 2-741 •22-22 3-062 •2407 3-432 •2593 3-852 •2778 4-321 10 J ( 11 •2:^^ 3-284 •2407 3-630 •2593 4-0-25 •2778 4-469 •2963 4-963 11 ( ( 12 •2407 3^887 •2593 4-247 •2778 4-667 •2963 5-13(5 •3148 5^654 12 ( ( 13 •2593 4-519 •2778 4-914 •2963 5-358 -3148 5-852 •3333 6-395 13 ( 14 •2778 5^210 •2963 5-()3i) •3148 6-099 -3333 6-617 •3519 7-185 14 ( 15 •2963 5951 •3148 6-395 •3333 6-889 •3519 7-432 •3704 8-025 15/ ; 1^' •3148 6-741 •3333 7-210 •3519 7-7-28 •3704 8-296 •3889 8-914 16/ •3333 7-580 •3519 8-074 •3704 8-617 •3889 9-210 •4074 9-852 17 I 18 •3519 8-469 •3704 8-988 •3889 9-556 •4074 10-173 •4^259 10-840 18 ( ly •3704 9-407 •3889 9-951 •4074 10-543 •4259 11-185 •4444 11-877 19 (20 •3889 10-395 •4074 10-963 •4259 11-580 •4444 12-247 •4630 12-963 20/ <21 •4074 11-432 •4259 12-025 •4444 12-667 •4630 13-3.58 •4815 14-099 21 / (22 •4259 12519 •4444 13-136 •4630 13-802 •4815 14-519 •.5001) 1.5-284 22 I (23 •4444 13-6.54 •4(530 I4-2lMi •4815 14-988 •5000 15-728 •5185 l(r519 •23 (24 •4630 14-840 •4815 15-506 •5000 16"2-i2 •5185 16-988 •5370 17-802 •24 (2") •4815 16-074 •5U00 l(i-7(>5 •5185 17-.506 •5370 18-29(5 •555(5 19-136 25 (26 •5000 17-3.")H •5185 18-074 •5370 18-840 •5556 19(5.54 •5741 20-519 26 (27 •5185 18-691 •537») 19-432 •5.556 20-2-22 -5741 21-0(52 •5926 21-951 27 / ( 28 •5.370 20-074 •5.)5(i 20-840 •5741 21-6.54 -5926 •2-J-519 •6111 23-432 28 ( 21) •5556 21^.5()6 •5741 22-2iMl •5926 2:J-13(5 ■din 24-0-25 •6296 24-963 •29 (30 •5741 22-988 •5926 23-802 •6111 24-667 -6296 25-580 •648] 26-543 30 (31 •5926 24-519 •6111 25-358 •6296 26-247 -6481 27-ia5 •()667 28-173 ( 31 ) (32 •6111 26-099 •6296 26-9(53 •6481 27-877 •6667 28-840 •6852 29-8.52 32) ( 33 •6296 27-7-2,-^ •6481 28-617 •6(567 29-5.5(5 •6852 30-543 •7037 31-580 33) (34 •648J 29-407 •6t)67 30-321 -6852 31"2'-<4 •7037 32-29(5 -7222 33-3.58 34) ( 35 •6667 31-136 •68.J2 32-074 -7037 33062 •7222 34-099 -7407 35-185 35) ( 36 •6852 32-914 •7037 33-877 -7222 34-889 •7407 35-951 •7593 37-062 36) (37 •7037 34-741 35-728 -7407 36-765 •7.593 37-8.52 •7778 38-988 37) (38 •7222 36-617 •7407 37(530 •7593 38-()91 •7778 39-802 •7963 40-963 lis) (39 •7407 38-543 ■7.")93 39-580 ■7778 40-6(57 •7963 41-802 -8148 42-988 39) (40 •7593 40-519 •7778 41-580 •7963 42-()91 •8148 43-852 •8333 45-062 40 ) (41 •7778 42-543 •7963 43-().30 •8148 44-76.5 -8333 45-951 •8519 47-185 41 (42 •7963 44-617 •8148 45-728 •8333 46-889 -8519 48-099 •8704 49^358 42) (43 •8148 46-741 •8333 47-877 •8519 49-062 -8704 50-29!5 •8889 51^580 43 (44 •8333 48-914 •8519 50-074 ■8704 51-284 -8889 52-543 •9074 .53-852 44 ( 45 •8519 51-136 •8704 52-321 •8889 53-556 •9074 54-840 •9259 .56^173 45 ( 46 •8704 53-407 •8889 54-617 .9074 55-877 •9259 57-185 •9444 58-.543 46 (47 •8889 55-728 •9074 56-963 •9259 58-247 -9444 59-580 •9630 60-963 47 (48 •9074 58-099 •9259 59-3.58 -9444 60-667 •9630 62-025 •9815 63-432 48 ( 49 •9259 60-519 •9444 (Jl-332 -9630 63-1.36 •9815 64-519 roo(M) 65-951 49 (50 •9444 62-988 •9630 64-296 -9815 65-654 hOOOO 67-062 10185 68-519 50 L 1 2 3 4: 5 TABLE III, ASE 1. — SLOPES 2 TO 1 203 1 6 7 8 9 10 Mult. Add. Mult. Add. Mult. Add. Mult. Add. MulL Add. )— ) •1111 0-889 -1296 1-210 -1481 1-580 -1667 2-000 -1852 2-469 s ) 1 •1296 1-062 -1481 1-407 •1667 1-802 -1852 2-247 -2037 2-741 1 ( 2 •1481 1-284 •1667 1-654 •1852 2-074 -2037 2-543 -2222 3-062 2 \ 3 •1667 1-556 •1852 1-951 •2037 2-395 -2-2-22 2-889 -2407 3-432 3 ) 4 •1852 1-877 •2037 2-296 •22-22 2-765 -2407 3-284 -2593 3-8.52 4 S 5 •2037 2-247 •2-222 2691 •2407 3-185 -2593 3-728 •2778 4-321 5 ( 6 •2222 2-667 -2407 3-136 "2593 3-654 -2778 4-222 •2963 4-840 6 S 7 •2407 3-136 •2593 3-630 •2778 4-173 -2963 4-765 •3148 5-407 7 ( 8 •2593 3-654 •2778 4-173 •2963 4-741 -3148 5-358 •3333 6025 8 ( 9 •2778 4-222 •2963 4-765 •3148 5-358 -3333 6000 •3519 6-691 9 ( 10 •2963 4^840 •3148 5-407 •3333 6-025 •3519 6-691 •3704 7-407 10 J 11 •3148 5^506 •3333 6-099 •3519 6-741 •3704 7-432 •3889 8-173 11 < 12 •3333 6-222 •3519 6-840 •3704 7-506 •3889 8-222 •4074 8-988 12 ( 13 •3519 6-988 •3704 7-630 •3889 8-321 •4074 9-062 •4259 9-852 13 ( 14 •3704 7-802 •3889 8-469 •4074 9185 •4259 9-951 •4444 10-765 14 ( 15 •3889 8-667 •4074 9-358 •4259 10-099 •4444 10-889 •4630 11-728 15 ( 16 •4074 9-580 •4259 10-296 -4444 11-062 •4630 11-877 •4815 12-741 16 ( 17 •4259 10-543 •4444 l]-284 •4630 12-074 •4815 12-914 -5000 13-802 17 18 •4444 11-556 •4630 12^321 •4815 13-136 •5000 14-000 •5185 14-914 18 19 '4630 12-617 •4815 13-407 •5000 14-247 -5185 15-136 •5370 16-074 19 20 •4815 13-728 •5000 14-543 •5185 15-407 •5370 16-321 •5556 17-284 20 21 •5000 14-889 •5185 15-728 •5370 16-617 •5556 17-556 •5741 18-543 21 ( 22 •5185 16-099 •5370 16-963 •5556 17-877 •5741 18-840 •5926 19-852 22 ( 23 •5370 17-358 •5556 18-247 •5741 19-185 •5926 20-173 •6111 21-210 23 ( 24 •5556 18-667 •5741 19-580 •5926 20-543 -6111 21-556 -6296 22-617 24 ( 25 •5741 20-025 •5926 20-963 •6111 21-951 ■6296 22-988 -6481 24-074 25 ( 26 •5926 21-4.32 •6111 22-395 •6296 23-407 -6481 24-469 •6667 25-580 26 ( 27 •6111 22-889 •6296 23-877 •6481 24-914 •6667 26-000 -6852 27-136 27 I 28 •6296 24-395 •6481 25-407 •6667 26-469 •6852 27-580 -7037 28-741 -28 ( 29 •6481 25-951 •6667 26-988 •6852 28-074 •7037 29-210 •7222 30-395 •29 ( 30 •6667 27-556 •6852 28-617 •7037 29-728 •7222 30-889 •7407 32-099 30 j 31 •6852 29-210 •7037 30-296 •7222 31-432 •7407 32-617 •7593 33-852 31 32 •7037 30-914 •7222 32-025 •7407 33-185 •7593 34-395 •7778 35-654 32 33 •7222 32-667 •7407 33-802 •7593 34-988 •7778 36-2-22 •7963 37-506 33 34 •7407 34-469 •7593 35-630 -7778 36-840 •7963 38-099 •8148 39-407 34 35 •7593 36-321 •7778 37-506 -7963 38-74J •8148 40-025 •8333 41-358 35 36 •7778 38-222 •7963 39-432 -8148 40-691 •8333 42-000 •8519 43-358 36/ 37 •7963 40-173 •8148 41-407 •8333 4-2-691 •8519 44-025 •8704 45-407 37/ 38 •8148 42-173 •8333 43-432 •8519 44-741 •8704 46-099 •8889 47-506 38 / 39 •8333 44-222 -8519 45-506 •8704 46-840: •8889 48-222 -9074 49-654 39 40 •8519 46-321 •8704 47-630 -8889 48-988 -9074 50-395 -9259 51-852 40 / 41 •87041 48-469 •8889 49-802 .9074 51-185 •9259 52-617 ■9444 54-099 41 / 42 •88891 50-667 •9074 52025 •9259 53-432 •9444 54-889 •9630 56-395 42/ 43 •9074! 52-914 •9259 54-296 •9444 55-7281 •9630 57-210 •9815 58-741 43 44 •92591 55-210 •9444 56-617 •9630 58-074 •9815 59-580 1-0000 61-136 44 45 •94441 57-556 •9630 58-988 •9815 60-469 1-0000 62-000 1-0185 63-580 45/ 46 •9630 1 59^951 •9815 61-407 roooo 62-914 1-0185 64-469 1-0370 66-074 46 47 •9315 [ (.2-395! l^OOOO 63-877 1^0185 65-407 1-0370 66-988 1-0556 68-617 47 48 1-OOUO 64-889: 1-0185 66-395 1-0370 67^951 r0556 69-556 1-0741 71-210 48 49 10185 67-432 1 1-0370 68-963 1-0556! 70^543 1-0741 72-173 1-0926 73-852 49 50 1-0370 70-025 1-0556 71-580 1-0741 73-185 1-0926 74-840 1-1111 76-543 50 / € 7 8 9 1 210 TABLE III. — BASE 1. — SLOPES 2 TO 11 13 13 14 15 il i Mult. Add. 2-988 Mult. Add. Mult. -2407 Add. Mult. Adtl. Mult. Add. •2037 -2-222 3-.556 4-173 -2593 4-840 -2778 5-556 0) 1 , 3( 1 •2222 3-284 -2407 3-877 -2593 4-519 -2778 5-210 -2963 5-951 2 •2407 3-630 -2593 4-247 -2778 4-914 -2963 5-630 -3148 6-395 3 •2593 4-025 -2778 4-667 -2963 5358 -3148 6-099 •3333 6-889 4 •2778 4^469 -2963 5-136 -3148 5-852 -.3333 6-617 •3519 7-432 4^, 6\ 5 •2963 4-963 •3148 5-654 -3333 6-395 -3519 7-185 •3704 8-025 6 •3148 5-506 •3333 6-2-22 -3519 6-988 -3704 7-802 •3889 8-667 •3333 fr0;)9 •3519 6-840 -3704 7-630 -3889 8-469 •4074 9-358 7 9 8 •3519 6-741 •3704 7-506 -3889 8-321 •4074 9-185 •4259 10-099 9 •3704 7-432 •3889 8-2-22 •4074 9-062 •4259 9-951 -4444 10-889 10 •3889 8-173 •4074 8-988 -4259 9-852 -4444 10-765 •4630 11-728 10 j 11 •4074 8^963 •4259 9-802 •4444 10-691 •4630 11-630 -4815 12-617 11 < 12 •4259 9^d02 •4444 10-667 •4630 11-580 •4815 12-543 •5000 13-5.56 12 ( 13 •4444 10^691 •4630 11-580 •4815 1-2-519 •5000 13-506 •5185 14-.543 13^ 14 •4fi3() 11-630 •4815 12-543 •5000 13-506 •5185 14-519 -.5370 15-580 14 15 •4815 1-2-617 •5000 13-556 •5185 14-543 •5370 15-580 -5556 16-667 15 16 16 •5000 13-654 •5185 14-617 •5370 15-630 •55.56 16-691 -5741 17-802 17 •5185 14-741 •5370 15-728 •55.56 16-765 •5741 17-852 •592(i 18-988 17 18 •5370 15-877 •5556 16-889 •5741 17-951 •5936 19-062 •6111 20-222 18^ 19 •5556 17-062 •5741 18-099 •59-26 19-185 •6111 20-321 •6296 21-506 19/ 20 •5741 18-296 •5926 19-358 •6111 20-469 •6296 21-630 •6481 22-840 20 ) ) 21 •5926 19-580 •6111 20-667 •6296 21-802 •6481 22-988 •6667 24-2-22 21,^ 22 •6111 20-914 •6296 22-0-25 •6481 23-185 •6()67 24-395 •6852 25-6.54 22/ 23 •6296 22-296 •6481 23-432 •6667 24-617 •6852 25-8.V2 •7037 27-i:}6 23 / 24 •6481 23-728 •6667 24-889 •68.52 26-099 •7037 27-35H -7-2-22 28-667 24/ 25 •6667 25-210 •6852 26-395 -7037 27-630 •7-2-22 -28-914 -7407 30-247 25) 26 •6852 26-741 •7037 27-951 -7222 29-210 -7407, 30-519 -7593 31-877 ■26) 27 ■7037 28-321 •7-222 2955(5 •7407 30-840 -7.593, 3-2-173 •7778 33-556 27) 29) 28 ■T2-22 29-951 •7407 31-210 -7.593 3-2-519 -7778 33-877 •796:} :i5-284 29 •7407 31-630 •7593 32-914 -7778 34-247 •7963 35-630 •8148 37-062 30 •7593 33-358 '7778 34-667 •7963 36-025 •8148 37-432 •8333 38-889 .30 ; 31 •7778 3.5- 13() •7963 36-469 -8148 37-852 •8333 39-284 •8519 40-765 31) 32 •7963 36-963 -8148 38-321 -83.33 39-728 -8519 41-185 •8704 42-1)91 32 33 •8148 38-840 -833:; 40-2-22 -8519 41-654 -8704 43-136 -8889 44-667 33 34 •8333 40-765 -8519 4-2-173 -8704 43-630 -8889 45-1.36 •0074 46-691 34 35 •8519 42-741 -8704 44-173 •8889 45-654 -9074 47-185 •9-259 48-765 35 36 •8704 44-765 -8^89 46-2-22 •9074 47-7-28 -9-259 49-284 •9444 .50-889 36; 37 •8889 46-840 -9074 48-321 •9259 49-8.52 •9444 51-432 -9630 53-062 37) 38 •9074 48-963 -9259 50-469 -9444 52-025 -9630 53-630 -9815 55-284 38) 39 •9^259 51-136 -94-14 .")2-(>()7 -9630 54-247 -9815 .55-877 1-0000 57-556 39 40 •9444 53-358 -9630 54-914 -9815 56-519 1-0000 58-173 1-0185 59-877 40^ 41 •9630 55-630 •9815 57-210 1-0000 58-840 1-0185 60-519 1-0370 62-247 41 ; 42 •9815 57^951 roooo 59-556 1-0185 61-210 1-0370 62-914 1-0556 64-667 42) 43 1-0000 60-321 1-0185 t)l-951 l-037( 63-630 1-0.5.56 (i5-.358 1-0741 67-136 43; 44 1-0185 6-2-741 1-0370 64-395 l-0.55() 66099 1-0741 67-852 1-0926 69-651 44; 45 1-0370 65-210 1-0556 66-889 1-0741 68-617 1-0926 70-395 1-1111 72-222 45) 46 1-0556 67-7-28 1-0741 69-432 l-09-2( 71-185 1-1111 72-988 11296 74-840 46) 47 1-0741 70-296 1-0926 72-0^25 1-1111 73-H02 1-1296 1 75-630 1-1481 77-.506 47 48 1 09211 72-914 11111 74-()67 l-129t 76-4()9 1-1481 1 78-321 1-1667 80-2-22 :48 49 l-llll 75-.380 1-1296 77-358 1-148 79-185 11667 81-062 1-18.52 82-988 '49 50 1-1296 78-296 1-1481 80-099 1-166- 81-951 I 1852 83-8.52 1-2047 « 85-802 50 ; 1 1 11 13 13 L4 1 L5 TABLE I II. — BASE 1 LOPES 2 TO 1, 211 r 16 ir 18 19 30 i ( s Mult. Add. Mult. Add. Mult. Add. Mult. Add. Mult. Add. i » •2963 6^321 •3148 7-136 -3333 8-000 -3519 8-914 -3704 9-877 / 1| -3148 6-741 •3333 7-580 -3519 8-469 •3704 9-407 •3889 10-395 1 > 2 -3333 7-210 •3519 8-074 -3704 8-988 •3889 9-951 •4074 10-903 '3 -3519 7-728 ■3704 8-617 -3889 9-550 •4074 10-.543 •4-259 11-.580 3 / 4 -3704 / 5 -3889 8-296 •3889 9-210 -4074 10-173 •4259 11-185 •4444 12-247 4 / 8-914 •4074 9-8.52 -4-259 10-840 •4444 11-877 •4630 12-963 5 / / 6 -4074 9-580 •4259 10.543 •4444 11.556 •4030 12-617 •4815 13-728 ; 7 •425!) 10-296 •4444 11-284 -4630 12-321 •4815 13-407 •5000 14-543 ; 8 -4444 11-062 •4630 12-074 -4815 13130 -5000 14-247 •5185 15-407 / y, -4030 11-877 •4815 12-914 ■5000 14-000 •5185 15-136 •5370 16-321 9 ) / 10 -4815 12-741 •5000 13-802 -5185 14-914 •5370 16-074 •5556 17-284 10 ) 11 -5000 13-654 •5185 14-741 -5370 15-877 •5556 17^062 •5741 18-296 11 / ) 1-2! -5185 14-617 •5370 15 7-28 -.5556 10-889 •5741 18-099 •5926 19-358 12 ; 13| -5370 15-630 •5556 16-705 •5741 17-951 •5926 19-185 •6111 20-469 13) ) 14 -5556 16-691 •5741 17-852 •5920 19-002 -0111 20-321 •6296 21030 14 / ) 15i -5741 17-802 •5926 18-988 -0111 20-2-22 -0296 •21r.506 •6481 22-840 15 ) ) 16 -59213 18-963 •6111 20-173 -6290 21-4.32 -6481 22-741 •6667 24-099 16 17 ) 18 17 •Gill 20-173 •6296 21-407 •6481 22-091 •0007 24-0-25 •6852 25-407 ) 18 •6296 21-432 •6481 22-691 •6667 24-000 •0852 25 358 •7037 26 -7 65 ) 19 •6481 2-2-741 •6667 24-025 •6852 25-358 •7037 26-741 •72^22 28-173 19) 20 •6667 24-099 •6852 25-407 •7037 20-765 •7222 28-173 -7407 29-030 20 ) )21 •6852 25-506 •7037 26-840 .7000 28-222 •7407 29-654 -7593 31-130 21 ) 22 •7037 26-963 •7222 28-321 •7407 29-728 •7593 31-185 •7778 32-091 22) >23 ■7222 28-469 •7407 29-852 •7593 31-284 -7778 32-765 •7963 34-290 23 ) ) 24 •7407 30-025 •7592 31-432 •7778 32-889 •79(i3 34-395 •8148 35-951 24 ) >25 •7593 31-630 •7778 33-062 ■7903 34-543 •8143 36-074 •8333 37'654 25 ) ) 20 •7778 33-284 •7963 34-741 -8148 30-247 •8333 37-802 •8519 39-407 26 ) )27 •7963 34-988 •8148 36-409 -8333 38-000 •8519 39-580 •8704 41-210 27 ; 29 ) 28 •8148 36-741 •8333 38-247 -8519 39-802 •8704 41-407 •m&) 43-002 y29 •8333 38^543 •8519 40-074 -8704 41-0.54 •8889 43-284 -9074 44-963 j 30 •8519 40^395 •8704 41-951 •8889 43-556 •9074 45-210 -9259 46-914 30 ) 31 •8704 42-296 •8839 43-877 •9074 45-.506 -9259 47^185 -9444 48-914 31 ^32 •8389 44-247 •9074 45-852 •9259 47-506 -9444 49-210 -9030 50-903 32 S 33 •9iJ74 46-247 •9-259 47-877 •9444 49-556 •9030 51-284 -9815 53-002 33 > ) 3-1 •9259 48-290 -9444 49-951 ■9030 51-654 •9315 53-407 l-000(. 55-210 34 ) ( 35 •9444 50-395 •9630 52-074 •9815 .53-802 1^0000 55-580 1-0185 57-407 35 ( 3G •9630 52-543 •9815 54-247 1-0000 56-000 1-0185 57-802 1-0370 59-6.)4 .36 ( 37 •9815 54-741 1-0000 56-469 1-0185 .58-247 1-0370 60-074 1-0.550 61-951 I, ( 38 1-0000 56-988 1-0185 58-741 1-0370 60-543 1-0556 62-395 1-0741 64-296 39 1-0185 59-284 1-0370 61-002 1-0556 62-889 1-0741 64-705 1-0920 60-691 39 40 1-0370 61-630 1-0556 63-432 1-0741 65-284 1-0926 67-185 1-1111 69-136 40 ) < 41 1-0556 64-025 1-0741 65-852 1-0926 67-728 1-1111 69-654 1-1296 71-630 " 42 1-0741 66-469 r0926 68-321 1-1111 70-2-22 1-1296 72-173 1-1431 74-173 S 43 1-0926 68-963 1-1111 70-840 1-1290 72-765 1-1481 74-741 1-1667 70-765 44 1-1111 71-506 1-1290 73-407 1-1431 75-358 1-1667 77-3.58 1-1852 79-407 44 ( 45 1-1296 74-099 1-1481 76-025 1-1667 78-000 1-1852 80-025 1-2047 82-099 45 46 47 48 49 (46 1-1481 76-741 1-1667 78-691 M852 80-691 1-2047 82-741 1-2222 84-840 ( 47 1-1667 79-432 1-18.52 81-407 r2047 83-432 1-2222 85-.506 1-2407 87-630 (48 1-1352 82-173 1-2047 84-173 1-2222 86-222 1-2407 88-321 1-2593 90-409 ( 49 1-2047 84-903 1-22-22 86-988 1-2407 89-002 1-2593 91-185 1-2778 93-358 ( 50 1-2222 87-802 1-2407 89-852 1-2593 91-951 1-2778 94-099 1-2963 96-296 50 J 16 ir 18 19 30 J TABLES THE CIRCUMFERENCES OF CIRCLES TO THE NEAREST FRACTION OF PRACTICAL MEASUREMENT; THE AREAS OF CIRCLES, In inches and decimal parts, likewise of feet and decimal parts AS MAY BE REQUIRED. / Diam. in 1 Circurn. ) iiiclies leel. in Area in Si(ie of square in. I Equal sq. Area in square in. Are square ft. •0(525 •125 •1875 •25 •3125 •37.50 •4375 •50 •5625 •625 •6875 -75 ( ^8125 ( ^8750 J -9375 ( lin. n II I 3 in. Ill i 11 •196 •392 -.589 •785. •981 M78 1-374 j 1-570 i i^767 : 1963 21.J9 ; 2^356 , 2552 2^748 1 2-945 I 4| I 5} 'if Bf 9 91 lOi 11 Jlf 11^ 12^- •0030 •0122 ; •0276 I •0490 ' •0767 •111)4 •15U3 I •1963 : •2485 ■ •3068 ; •3712 •4417 ; -5185 ! •6013 I •6903 I •78.')4 i •9940 i 1^227 i 1-767 I 2^074 2-40.''> •2-761 3^]41 :V546 3^97() 4-430 4-9()8 5^412 5-939 6-491 7-068 7-669 8-295 8-946 9-621 10-320 11-044 11-793 •0554 •1107 •1661 •2115 •2669 •32-23 •3771 •4331 •4995 •5438 •6093 •6646 •7200 •7754 •8862 •9969 r0775 12185 13293 1^4401 r5508 1-6()16 1-77-24 1-8831 1^9939 2-1047 2-21.55 2-3->62 2-4370 2-5478 2-6.586 2-7694 2-8801 2-991)9 3-1017 3-2124 3-3232 3-4340 4 in. 4} 4f 4i ■if II 5 in. 5^ ^ 3| % 6 in. H 61 7 in. n u U 8 in, 8|. 8i 8^ 8A 8| 81 Si 1 3| 1 4^ 1 44 1 4i 1 5^ 1 5| 1 6 1 6f 1 65 1.51 1 8 1 8} 1 8i 1 9k 1 9^ 1 10 1 10| 1 10] 1 11} 1 in 1 111 2 Of 2 0^ 2 H 2 U 2 1| 2 3 2 3| 2 ^ 12-566 13-364 14-186 15-033 15-904 16-800 17-720 18-665 ' 19-635 20-629 21-647 22-690 23-758 24-8.50 25-967 27-108 28-274 29-464 30-679 31-919 33183 34-471 35-784 37122 38-484 39-871 41-282 42-718 44-178 45-''63 47-173 48-707 50-265 51-848 53-456 55-088 56-745 58-426 60-132 61-862 •0935 •0993 •1052 -1113 •1176 •1240 •1306 •1374 •1444 -1515 •1.588 •1()63 •17.19 •1817 -1897 -1979 -2062 -2147 -2-234 -2322 •24I2 -2.504 -2598 -2693 -2791 •2889 -2990 -3092 -3196 •3299 •3409 •.3518 •3(729 •3741 -3P56 •3972 •4089 •4209 -4330 CIRCUMFERENCES AND AREAS OF CIRCLES. 213 Diam. in Circum. in Area in Area in inches. feet. in. square in. square It. 2 4i 2 4| 2 5 2 51 2 51 2 6i 2 6f 2 7 2 7t 2 7i 2 &k 2 8i 2 8| 2 9| 2 9i 2 10| 2 lOi 2 10| 2 Hi 2 Ui 3 Oi 3 Oi 3 Oi 3 li 3 lOi 3 lOJ 3 111 3 Hi 3 m 4 Oi 4 0| 4 1 4 lA 4 H 63-617 65-396 67-200 69-029 70-882 72-759 74-662 76-588 78-540 80-515 82-516 84.540 86-590 88-61)4 90-762 92-855 95-033 97-205 99-402 101-623 103-869 106-139 108-434 110-753 113-097 115-466 117-859 120-276 122-718 125-185 127-676 130-192 132-732 135-297 137-886 140-.500 143-139 145-802 148-489 151-201 153-938 156-699 159-485 162-295 165-130 167-989 170-873 173-782 176-715 179-672 182-6.54 185-661 188-692 191-748 194-828 197-933 •4453 •4577 •4704 •4832 •4961 •5093 •5226 •5361 •5497 •5636 •5776 •5917 •6061 •6206 -6353 •6499 •6652 •6804 •69.58 •7143 •7-270 •7429 •7590 •7752 •7916 •8082 •8250 •8419 •8590 •8762 •8937 •9113 •9291 •9470 •9642 •9835 1-0019 1-0206 1^0294 1^0584 1^0775 1-0968 1-H93 11360 1-1569 M749 1-1961 1-2164 1-2370 1-2577 1-2785 1-2996 1-3-2U8 1-3422 1-3637 1-3855 Diam. in Circum. iiiclifS. feet, in Area in Area in ( square in. square ft. / 16 in. 161 m 16f 16i 36| 16-1 16| 17 in. in 174 ni m ■"a 18 in. m 18f .18i 181 18i 18^ 19 in. 19^ 19i m 19.^ 19| 19| 19J 20 in. 201 20i 20| 20i 20f 20i 201 21 in. 2U 2H 21t 214 21| 21i 21| 22 in. 22|- 22i 22A 22I 001 4 ^ ■4 2f 201-062 204-216 4 3 207-394 4 3i 2ir)-597 4 3J 213-825 4 H 4 4| 217-077 220-353 4 5 2-23-654 4 51 226 980 4 5J 230-330 4 61 233-705 4 6h 2.37-104 4 6| 240-528 4 7f 243-977 4 7$ 247-450 4 81 250-947 4 8.J 254-469 4 8J 2.58-016 4 9.^ 261-587 4 911 265-182 4 101 268-803 4 104 272-447 4 101 276-117 4 1H 279-811 4H| 283-.529 5 287-272 5 Oi 291-039 5 01 294-831 5 H 298-648 5' If 302-489 5 2 306-355 5 2f 310-245 5 21 314160 5 3i 318-099 5 31 322-063 5 4 326-051 5 4J 330-064 5 4!| 334-101 5 5i 338-1 63 5 5i 342-250 5 51 346-361 5 6f 350-497 5 65 354-657 5 li 3.58-841 5 7J 363-051 5 71 367-284 5 8:1 371.543 5 8i 375-826 5 9} 380-133 5 94 384^465 5 91 388-822 5 lOi 393-203 5 lOf 397-608 5 11 402-038 5 m 406'493 5 iVs 410-972 214 EPITOME OF MENSURATION. ( Diam. in Circum. in ] Area in Area in Diam. in Circura. in Area in Area in ) / inches. feet. in. 1 square in. square ft. inches. feet. in. square in. square ft. ) ( 1 11 6 H 415-476 2-8903 3 9 5 1017-87 7-0688 J ( 1 Hi 6 Of 420-004 2-9100 3 Oi 9 5J 103206 7-1671 ) 1 111 6 1 424-557 2-9518 3 04 9 63 1046-35 7-2664 ) ( 1 111 6 Jl 429-135 2-9937 3 0| 9 "^i 1060-73 7-3fiG2 ) ( 1 ll'i G n 433-737 3-0129 3 1 9 8i 1075-21 7-4661 ) ( 1 111 6 2i 438-303 3-02G1 3 H 9 9 1089-79 7-5671 ) ( 1 ii;i 6 28 443014 3-0722 3 l| 9 9| 1104-46 7-6691 ) im 6 3 447-090 3-1081 3 IJ 9 m 1119-24 7-7791 j I 2 6 3| 452-390 3-1418 3 2 9 Hi 1134-12 7-8681 } 2 Oi 6 ^ 4G1-8G4 3-2075 3 2i 10 Og 1149-09 7-9791 ) 6 ^ 471-43G 3-2731 3 24 10 Oi 1164-16 8-0846 ) ) 2 o| 6 5| 481-lOG 3.3410 3 2| 10 ^ 1179-32 8-1891 ) ) 2 1 6 6,V 400-875 3-4081 3 3 10 24 1194-59 8-2951 ) I 2 U 6 T| 500-741 3-4775 3 3i 10 31 1209-95 8-4026 ) ) 2 14 6 8,^ 510-70G 3-5468 3 34 10 4 1225-42 8-5091 ) 2 1| 6 4 520-7G9 3-6101 3 3^ 10 41 1240-98 8-6171 j / 2 2 6 9| 530-930 3-6870 3 4 10 5| 1256-64 8-7-269 ) / 2 2i 6 io.| 541-189 3-7583 3 4i 10 el 1272-39 8-83G1 ) ) 2 2^ 6 Hi 551-547 3-8302 3 44 10 U 1288-2.) 8-9462 ) ) 2 2| 7 5Gi2-(M)2 3-9042 3 4$ 10 8 1304-20 9-0561 ) ) 2 3 7 ;i 572-.^5() 3-9761 3 5 10 8} 1320-25 9-1686 ) > 2 3i 7 583-208 4-0.5(tO 3 5i 10 9i 1336-40 9-2112 ) 2 3I 7 23- 503-958 41241 3 54 10 lOJ 1352-65 9-393G ) 2 3| 7 3| 604-807 4-2000 3 5| 10 m 1369-00 9-5061 S 2 4 7 3J 615-753 4-2760 3 6 10 m 1385-44 9-6212 ) 2 4i 7 4ii 626-798 4-3521 3 6i 11 Oi 1401-98 9-7364 ) ) 2 4i 7 5^ G37-041 4-4302 3 64 11 H 141862 9-8518 ) 2 4I 7 e| 649- 182 4-5083 3 6| 11 2i 1435-36 9-9671 ) 2 5 7 7 664)521 4-5861 3 7 11 3 1452-20 10-084 ) > 2 5i 7 ■71 671-958 4-6665 3 7i 11 ^ 1469-14 10-202 ) ) 2 5i 7 sf 683-494 4-74G7 3 7i 11 1486-17 10-320 ) ) 2 5i 7 9i 695-128 4-8274 3 7I 11 5| 1503-30 10-439 ) ) 2 6 • 7 lOi 700-860 4-9081 3 8 11 6i 1520-53 10-559 J ) 2 Gi 7 11' 1 718-690 4-9901 3 S\ 11 1537-86 10-679 ) ) 2 6i 7 111 730-G18 5-0731 3 84 11 n 1555-28 10-800 ) ) 2 6J 8 oi 742-644 5-1.573 3 8i 11 8i 1572-81 10-922 ) ) 2 7 8 1^ 754-769 5-2278 3 9 11 91 1590-43 11-044 ) ; 2 .7i 8 2i 7GG-9S}2 5-3264 3 9i 11 m 1608-15 11-167 ) ) 2 7A 8 779-313 .5-4112 3 94 11 m 1625-97 11-291 ) 2 7$ 8 3I 791-732 5-4982 3 9;i 11 m 1643-89 11-415 ) j 2 8 8 4i 804-249 5-5850 3 10 12 Ok 1661-90 11-.5.34 ) 2 8i 8 sf 81()-8G5 5-6729 3 lOi 12 li l()80-02 11-666 ) > 2 8i 8 6^ 829-578 5-7601 3 10.i 12 2 1698-23 11-793 ) 2 8| 8 ef 842-390 5-8491 3 lOJ 12 3| 1716-54 11-920 > ) 2 U 8 "^l 855-300 5-9398 3 11 12 1734-94 12-048 ) ) 2 9:1 8 8.t 8G8-308 G-(h291 3 m 12 4| 1753-45 12-176 ) ) 2 9.V 8 9i 881-415 G-1201 3 Hi 12 5i 1772-05 12-305 2 9| 8 10 894-619 6-2129 3 11^ 12 6 1790-76 12-435 ) 2 10 8 101 907-922 6-3051 4 12 6J 1809-56 12-566 ) 2 lOi 8 lU 921-323 6-.3981 4 Oi 12 n 18-28-46 12-697 ) ) 2 lOV 9 0| 934-822 6-4911 4 04 12 8| 1847-45 12-829 ) ) 2 10.] 9 ll 948-419 6-58()3 4 Oi 12 9} 1866-55 12-902 ) ) 2 11 9 u 9G2-115 6-G815 4 1 12 91 1385-74 13-095 ) ) 2 lli 9 2| 975-908 6-7772 4 U 12 10| 1905-03 13-229 ) 2 ll.i (am 9 34 989-800 6-8738 4 14 12 Hi 1924-42 13-364 ) 9 4| 1003-79 1 G-9701 1 4 l-i 13 Jt^ 1943-91 13jl99^ CIRCUMFERENCES AND AREAS OP CIRCLES. 21: / Diam. i.i Circum. in Area in Area in Diam. in Circum. in Area in Area in ( ) inches. feet. in. square in. square ft inches. feet . in. square in. square ll. t ) 4 2 13 1 19153-50 13-635 5 4 16 9 321(5-99 22-333 \ 4 2i 13 U 1983-18 13-772 5 4i 16 9:]- 324217 22-515 4 2.i 13 2| 2002-96 13-909 5 4i 16 lOf 32<57-46 2-2-621 4 2J 13 3f 2022-84 14-047 5 4| 16 III 3292-83 22-86(5 4 3 13 4+ 2042-82 14-186 5 5 17 Ok .3318-31 23-043 ( 4 3i 13 5 2062-90 14-325 5 H 17 o| 3343-88 23-221 ( 13 5J 2083-07 14-465 5 5-i 17 rl 3369-56 23-3.30 ( j 4 3a 13 6i 2103-35 14-606 5 5i 17 24 3395-33 23-578 4 4 13 7f 2123-72 14-748 5 6 17 3| .3421-20 23-7.58 ( 4 4i 13 81- 2144-19 14-890 5 H 17 4i 3447-16 23-938 { ) 4 42 13 81 2164-75 15-033 5 6i 17 4^ 3473-23 24-119 { ) 4 4ir 13 ga 2185-42 l.r 176 1 5 6i 17 5| 3499-39 24-301 ( 4 5 13 10^ 2205-18 15-320 5 7 17 6.1 3.525-66 24-483 / 4 5i 13 111 2227-05 15-465 5 74: 17 U 3552-01 24-66(5 ( ( 4 5A 14 2-248-01 15-611 5 ''k 17 8 3578-47 24-850 / J 4 5| 14 Oi 2209-06 15-757 5 n 17 8^ 3605 03 .25-034 ^ { 4 6 14 If 2290-22 15-904 5 8 17 91 3631-68 25-2-20 4 6i 14 2-i 2311-48 16-051 5 8i 17 101 3658-44 25-405 / 4 6.i 14 3i 2332-83 16-200 5 si 17 Us- 3685-29 25-592 4 6i- 14 4 2354-28 16-349 5 81' 17 ui 3712-24 25-779 4 7 14 4i 2375-83 16-498 5 9 18 OJ 3739-28 25-964 ( 4 7i 14 5^ 2397-48 16-649 5 H 18 14 3766-43 26-155 / 4 71 14 6f 2419-22 16-800 5 H 18 2I 3793-67 26-344 ( 4 7i 14 7| 2441-07 16-951 5 y} 18 3| 3821-02 26-534 j 4 8 14 11 14 8| 2463-01 17-104 5 10 18 3| 41 3848-46 26-725 ( 4 8i 2485-05 17-257 5 m 18 3875-99 26-916 ( 4 8.^ 14 9.i 2507-19 17-411 5 lOi 18 5.V 3903-63 27-108 / 4 8if 14 104 2529-42 17-565 5 10:i 18 6i 3931-36 ii7-301 I ^ 4 9 14 11 2551-70 17-720 5 11 18 3959-20 27-494 I ( 4 9i 14 IH 2574-19 17-876 5 Hi 18 n 3987-13 27-688 / 4 9^ 15 Of 2.59(J-72 18-U33 5 lU 18 Si 4015-16 27-883 / , 4 »» 15 If 2619-35 18-189 5 m 18 9f 4043-28 ii8-078 j ( 4 10 15 21 2642-08 18-347 6 18 10^ 4071-51 28-274 ) ' 4 lOi 15 2- 26(>4-91 18-.506 6 Oi 18 m 1 4099-83 28-471 / ^ 4 lO.i 15 34 2087-83 18-665 6 Oi 18 m 4128-25 28-668 ; 4 10| 15 4i 2710-85 18-825 6 oi 19 04 41.56-77 28-866 / 4 11 15 5i 2733-97 18-985 6 1 19 i-i 4185-39 29-065 / 4 11+ 15 6A 2757-19 19-147 6 H 19 2} 4214-11 29-264 ) 4 lU 15 6- 278U-51 19-309 6 14 19 2i 4-^2-92 29-4156 / 4 111 15 7| 2803-92 19-471 6 li 19 3| 4-271-83 29-665 ) 5 15 8i 2827-44 19-635 6 2 19 44 4300-85 29-867 j 5 Oi 15 9i 2851-0.) 19-798 6 2i 19 4 4329-95 30-069 / 5 Oi 15 10 2874-76 19-963 6 24 19 6 43.59-16 30-271 ) 5 Oa 15 10'^ 2898-56 20-128 6 2ii 19 m 4388-47 30-475 > 5 1^ 15 111 2922-47 20-294 6 3 19 n 4417-87 30-679 ) 5 li 16 Of 2946-47 20-461 6 3i 19 Si 4447-.37 30-884 ) 5 Ik 16 l:r 2970-57 20-029 6 34 19 n 4476-97 31-090 ) 5 l| 16 U 2994-77 20-797 6 n 19 n 4506-67 31-296 I 5 2 16 2| 16 3h 3019-07 20-965 6 4 19 m 4536-47 31-503 [ 31-710 5 2+ 3043-47 21-135 6 H 19 114 4566-36 5 2.i 16 4i 3067-96 21-305 6 4,'x 20 Oi 4.596-35 31-919 5 ,2} 16 51 3092-56 21-476 6 4i 20 1,^ 4626-44 3-2-114 5 3 16 5i 3117-25 21-647 6 5 20 Is 23 4656-63 32-337 5 3i 16 6i 3142-04 21-819 6 5i 20 4686-92 32-548 5 3i 16 74 316G-92 21-992 6 54 20 34 4717-30 32-759 5 3^ 16 8i 3191-91 22166 6 5i 20 i5_ 4747-79 ^2;970) 210 EPITOME OF MENSURATION, r~ ^^.^^y-^ ^^"""'^^-'^ ~^^^^'~~- Side of -.^-^.^^^^^.^-^ ' ^^■^^^^-'^-^"^ -^^v.^^..^-^,^^^ Si.leof ' 1 Diam. Circum. Area. equal Square. Diam. Circum. Area. equal , Square. , ) feet. in. i feet. in. feet. feet. in. feet. in. feet. in. feet. feel. i.i. ; 6 18 IO3- 28-274 5 31 11 34 6| 95033 9 8| ) 1 19 li 19 4i 29065 5 4| 1 34 9:r 96-478 9 9J ( 2 29-867 5 5^^ 2 35 ^ 97-934 9 io| ; 3 19 7- 30-679 5 6.^ 3 35 4- 99-402 9 111 ) 4 19 lOj 20 1- 31-503 5 n 4 35 7, 35 10 100-879 10 O.i . / 5 32-337 5 s\ 5 102-368 10 l| ) / 6 20 5 33-183 5 93^ 6 36 Ih, 103-869 10 2i 10 3| ; 7 20 8| 34-039 5 10 7 36 4V 105-379 8 20 Hi 34-906 5 lOi 8 36 7^ 106-901 10 4 / 10 5 ) 9 21 2, 35-784 5 Hi 9 36 IO3 37 2:^ 108 434 10 21 ,5i 36-674 6 0| 10 109-977 1S§ ) 11 21 8i 37-573 6 11 11 37 5i 111-531 )• 7 21 111 38-484 6 2} 12 37 8| 113-097 10 7| ) 1 22 3 39-406 6 33^ 1 37 114 114-673 10 8.V } 2 22 6i 40-338 6 4i 2 38 2| 116-260 10 9| ) 3 22 ^ 41-282 6 5 3 38 5i 117-8.59 10 lOi 4 23 Of 42-236 6 6 4 38 &l 119-467 10 Hi . ; 5 23 2i 43-202 6 6^ 5 39 121-087 11 ( ) 6 23 6J 44-178 6 7{ 6 39 3i 122-718 11 01 11 l| j 7 23 11 45-165 6 8| 7 39 fit 124-:}39 8 24 l\ 46163 6 9.i 8 39 9A 1-26012 11 2- i 9 24 4} 47-173 6 loi 9 40 0| 127-676 11 35 ( 10 24 7i 48-102 6 Hi 10 40 3| 40 6^ 129-350 11 4.4 ) 11 24 lOi 49-223 7 Oi H 131-036 11 sf ) 8 25 U 50-265 7 Oi 13 40 10 132-732 11 6i / 1 25 4i 51-317 7 li 1 41 U 134-439 11 7 f 2 25 1\ 52-;J81 7 ^ 2 41 4 J 136-157 11 8i ) 11 8- ) 11 9§ ) I ) 3 25 11 53-456 7 31 3 41 7i 137-886 4 2« 2| 54-r)41 7 4i 4 41 10 139-626 < 5 2G 5^ 55-637 7 5A 5 42 1 141-377 11 io| n Hi } 6 26 8J 56-745 7 Gt 6 42 4^ 143-139 ) 7 20 Hi 57-8ti2 7 Ik 7 42 8 144-911 12 o| ) I 8 27 2:i 58-ity2 7 8| 8 42 lU 146-694 12 If ) i 9 27 5J 60-132 7 9i 9 43 2i 148-489 12 2i ) \ 10 27 9 61-282 7 9J 10 43 5i 150-294 12 3^ 11 28 Oi 62-444 7 lOi 11 43 8| 152-110 12 4 9 28 3i 03-617 7 HI 14 43 Hi 153-938 12 Al 12 51 1 28 6i 64-800 8 Oi 1 44 2i 155-775 ( 2 28 9i 65-995 8 \k 2 44 6 157-625 12 6i ( / 3 29 0| 67-200 8 2i 3 44 9} 159-485 12 7| ( ^ 4 29 3;i 68-416 8 3i 4 45 Oi 161-355 12 8,^ ( ( 5 29 7 60-644 8 4i 5 45 3i 163-237 12 9,^ ( 6 29 10| 70-882 8 5 6 45 6| 165-130 12 lOi ( ) 7 30 4 72130 8 5J 7 45 9^ 167-033 12 HI ( } 8 30 4J 73-391 8 6:{ 8 46 OJ 168-947 13 } 9 30 7i 74-(i62 8 7| 9 46 4 170-873 13 U S / 10 30 lit 75-943 8 8i 10 46 7i 172-809 13 n ( \ 11 31 \l 77-236 8 9i 11 46 Hi 174-756 13 2j } 10 31 5 78-.540 8 lOi 15 47 IJ 176-715 13 3i 1 31 8| 7i>-854 8 H^ 1 47 4i 178-683 13 4t 2 31 Hi 81-179 9 03^ 2 47 7ii 180-663 13 54 ) 3 32 2i 82-51t) y 1 3 47 lOj 182-654 13 6i ) 13 7| ) 4 32 5i 32 81 83-862 9 H 4 48 2.^ 184-655 5 8.5-221 9 2i 5 48 5 186-668 13 8 ) 6 32 Hi 86-590 9 3| 6 48 8i 188-692 13 Hi 7 33 2J 87-9ii9 9 4.i 7 48 11 190-726 13 9ii 8 33 6| 89-360 9 5^ 8 49 2 192-771 13 lOf 9 33 9i 90-762 9 6i 9 49 5: 194-828 13 Uk 10 34 01 92-174 9 7i 10 49 8i 196-894 14 Of I 11 34 34 93-598 9 8i- _Ji. 50 198-973 H^iJ CIRCUMFERENCES AND AREAS OF CIRCLES, 211 Side of Diam. Circum. Area. equal Square. feeu in. feet. in. feet- feet. in. 16 50 31 201-062 14 21 1 50 6: 203-161 14 3 2 50 9i 205-272 14 3- 14 4- 3 51 Oi 207-394 4 51 3^ 209-526 14 5- 5 51 &4 211-670 14 6f 6 51 10 213-825 14 7i 7 52 ]i 215-989 14 8| 8 52 ^ 218-166 14 94: 9 52 7f 220-353 14 10«i 10 52 lOi 222-551 14 11 11 53 If 224-760 14 11| 17 53 4J 226-980 15 0| 15 1 15 2 1 53 8 229-210 2 53 llA 231-462 3 54 2i 233-705 15 34 4 54 5| 235-9G8 15 4- 15 5: 15 6i 15 7 5 54 8^ 238-243 6 54 111 240-528 7 55 21 242-824 8 55 6 245-131 15 7i 15 8i- 15 9f 15 lOg 9 55 9k 247-450 10 56 0;i 249-778 11 56 3i 252-118 18 56 6i 254-469 15 llf 16 OJ 1 56 9| 256-830 2 57 01 259-203 16 1;: 16 2i 16 3i 3 57 4 261-587 4 57 7i 263-980 3 57 104 266-386 16 3- 6 58 11 268-803 16 4; 7 58 4i 271-229 16 5j 8 58 7 273-667 16 64 9 58 10 276-117 16 7f 10 59 2 278-576 16 8i 11 59 5 281-047 16 9i 19 59 8i 283-529 16 10 1 59 lU 286-021 16 11 2 60 2i 288-524 16 IH 3 60 5| 291-039 17 Oi 4 60 81 2.93-564 17 4 17 2i 5 60 l]i 296-110 6 61 3i 298-648 17 3| 7 61 6i 301-205 17 4i 8 61 94 303-774 17 5? 9 62 0.i 306-355 17 6 10 62 3f 308-944 17 7 11 62 6^ 311-546 17 7i 20 63 l| 314-160 17 8- 1 316-782 17 9- 2 63 44 319-417 17 101 3 63 7i 322-003 17 llf 4 63 Hi 324-7] 8 18 0:i 5 64 n 327-385 18 Ij 6 64 45 330-064 18 2 7 64 7i 332-752 18 2- 18 3i 8 64 11 335-452 9 65 2i 338163 18 4r 18 5- 10 65 5| 340-884 11 65 8i 343-617 18 61 Diain. Circum. Area Side of"") equal \ Scjuare. ( feet. in. 21 1 3 4 5 6 7 8 9 aO 11 22 23 25 feet. ill. 65 llf 66 21 66 51 66 9 67 0} 67 31 67 6* 67 9| 68 Oi 68 3| 68 7 68 lOi 69 If 69 44 69 7f 69 lOJ 70 1| 70 5 70 8i 70 11^ 71 24 71 5f 71 8^ 71 llf 72 3 72 6i 72 9f 73 04 73 3| 73 6f 73 91 74 1 74 41 74 7i 74 lOf 75 If 75 4^ 75 71 75 11 76 2i 76 5i 76 84 76 llf 77 2J 77 51 77 9 78 01 78 3i 73 6t 78 94 79 05 79 31 79 7^- 79 in 80 U 80 41 80 7f 80 10| 81 n 81 5 feet, 346-361 349-114 351-880 354-657 357-443 360-241 363-051 365-869 368-701 371-.543 374-394 377-258 380-133 383-017 385-914 388-822 391-738 394-668 397-608 400-558 403-.520 406-493 409-475 412-470 415-476 418-491 421-519 424-557 427-605 430-665 433-737 436-817 439-910 443-014 446-127 449-253 452-390 455-536 458-694 461-864 465-042 468-234 471-436 474-647 477-871 481-106 484-350 487-607 490-875 494- 151 497-441 500-741 504051 507-373 510-706 514-048 517-403 .520-769 524-144 -527 -.531 TABLE SaUARES, CUBES, SQUARE AND CUBE ROOTS OF NUMBERS. No. I Squares. Square Roots. Reciprocals. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 961 1024 1089 1156 1225 12% 1369 1444 1521 1600 1681 1764 1849 1936 2025 2116 2209 2304 2401 2500 1 i-o;j(,oooo lOOOOOOO -100001)000 8 1-4142136 1-2599210 -50UOOlJ(iOO 27 1-73205U8 1-44^22496 -333333333 64 2-0()00()()0 1-5874U11 •250000000 125 2-2360!!H0 l-70997.)9 -200000000 216 2-44948. (7 l-8i71-2;)6 -166i5()G(i67 343 2-6457513 1-9129312 •14-2857143 512 2-82S4271 2-0U()0()O0 -125000000 729 3-0000000 2-080;i8:{7 •111111111 1000 3-16-2-2777 2-1.544347 •1000001)00 1331 3-3166248 2-2-239801 -090909091 1728 3-4641016 2-2894286 •083333333 2197 3-6055513 2-3513347 •076923077 2744 3-7416574 2-41014-22 •071428.571 3375 3-8729833 2-4602121 •006()(i6667 4096 4-000000;) 2-5J98421 •062.500000 4913 4-12310.56 2-5712816 •058823.5-29 5832 4-2426407 2-62U74 14 •055555556 68.i9 4-3588989 2-6684016 •052631579 8000 4-4721360 2-7144177 •050000000 9261 4-58-25757 2-7r>89243 •047619048 10()48 4-6904158 2-8020393 -045454545 12167 4-7958315 2-8438670 -043478-2()l 13824 4-8989795 2-8844991 •04166(;ij67 15625 5-0000000 2-9240177 •04000001 >o 17576 5-0990195 2-96-24960 -038461538 19(583 51961524 3-0000000 •037037037 21952 5-2915026 3-0365889 •035714-286 24389 5-3851648 3-0723l()8 •034482759 27000 5-4772256 3-10723-25 •033333333 29791 5-5677644 3-1413806 •0322.580(i5 32768 5-6568542 3-1748021 •0312500(10 35937 5-7445626 3-2075343 •030303030 39304 5-8309519 3-2396118 •029411765 42875 5-9160798 3-2710663 •028.5714-29 46656 6-0000000 3-3019272 •027777778 50653 6-0827625 3-332-2218 •0270270-27 54872 6-1644140 3-3619754 •02631.5789 59319 6-2449980 3-3912114 -02564 1026 64000 6-3245553 3-4199519 •0-25000000 6S921 6-4031242 3-4482172 •024.391(244 74088 6-4807407 3-4760266 •02:1809.524 7t)507 6-5574385 3-503;i981 -0-23-25.5H14 85184 6-6332496 3-5303483 •022:27273 91125 6-7082039 3-5568933 •02222->->22 97336 6-7823300 3-5830479 -021739130 103823 6-8556546 3-6088261 -021276600 110592 6-9282032 3-6342411 -020833333 117649 7-0000000 3-6593U57 -620408163 I25t)00 7-0710678 3-6840314 •02U000000 a U ARES, CUBES, SaUARE AND CUBE ROOTS, 219 K. Squares. Cubes. Square Roots. Cube Roots, Reciprocals. 51 2001 132651 7-1414''284 3-7084298 •019007843 52 2704 140008 7-2111026 3-7325111 •019230769 53 2809 148877 7-2801099 3-7502858 •018807925 54 2J16 157404 7-3484692 3-7797031 •018518519 55 3025 166375 7-4101985 3-8029525 •018181818 56 3130 175616 7-4833148 3-82.58024 •0178.57143 57 3249 185193 7-5498344 3-8485011 •017543860 58 3304 195112 7-0157731 3-8708706 •017-J4J379 59 3481 205379 7-0811457 3-8929905 -01(;949153 60 300U 216000 7-7459067 3-9148076 -oioooiioe? 61 3721 220981 7-8102497 3-9304972 -01039V443 62 3844 238328 7-8740079 3-9.578915 -010129032 63 3969 2.50047 7-9372539 3-9790,571 -015873016 64 4096 262144 8-0000000 4-0000000 -015025000 65 4225 274025 8-0622577 4-0207256 •01.5384015 66 4350 287490 8-1240384 4-0412401 •015151515 67 4489 300703 8- 1853528 4-0615480 •01492.5373 08 4024 314432 8-2402113 4-0816551 •014705882 69 4701 328.509 8-3006-239 41015661 •0144927.54 70 4!)U0 .343000 8-3000003 4-1212853 •01428.5714 71 5041 357911 8-4261498 4-1408178 -014(184517 72 5184 373248 8-4852814 4-1601070 -013^88889 ■ 73 5329 389017 8-5440037 4-1793390 -013098030 74 5470 405224 8-60232.53 4-1983364 •013513514 75 5025 421875 8-6002.540 4-2171033 •013333333 76 5770 438970 8-7177979 4-2358230 •013157895 77 5929 456533 ' 8-7749044 4-2543210 •012987013 78 6084 474552 8-8317609 4-2720580 •012820513 79 0241 493039 8-8881944 4-2908404 •012058228 80 04U0 512000 8-9442719 4-3088095 •012.500000 81 0.501 531441 9-0000000 4-3207487 •012345079 82 0724 551.368 9-0553851 4-3444815 •012195122 83 0889 571787 9-1104336 4-3020707 •012048193 84 7050 592704 9-1651514 4-3795191 •011904702 85 7225 614125 9-2195445 4-3908296 •011704706 86 7390 636050 9-2730185 4-4140049 •011027907 87 7509 058503 9-3273791 4-4310476 •011494253 88 7;44 681472 9-3808315 4-4470092 •011303036 89 7921 704909 9-4339811 4-4047451 •011235955 90 8100 729000 9-4868330 4-4814047 •011111111 91 8281 753571 9-5393920 4-4979414 •010989011 92 8404 778088 9-5910030 4-5143.574 •010869565 93 8049 804357 9-0430508 4-5300549 •010752688 94 8830 830584 9-0953597 4-5468359 •010638298 95 9U25 857374 9-7407943 4-5629020 •010526316 96 9210 884736 9-7979590 4-5788570 •010416067 97 9409 912073 9-8488578 4-5947009 •010309-278 98 9004 941192 9-8994949 4-6104303 -0102OI082 99 9801 970299 9-9498744 4-0200050 -010101010 100 10000 1000000 10-0000000 4-6415888 -010000000 101 10201 1030301 10-04987.56 4-0570095 •009900990 102 10404 1001208 10-0995049 4-6723287 •009803922 103 10009 1092727 10-14889] 4-6875482 •009708738 104 10810 1124864 10-1980390 4-7020094 •009015385 105 11025 1157025 1(1-2469508 4-7176940 •009523810 106 11230 1191016 10-2956301 4-7326235 •009433902 107 11449 1225043 10-3440804 4-7474594 •009345794 ) 108 11004 1259712 10-3923048 4-7622032 •009259259 109 11881 1295029 10-4403005 4-7708562 •009174312 ) 110 12100 1331000 10-4880885 4-7914199 •009090909 ) 111 12321 1367631 10-5356538 4-8058995 •009009009 ) 112 12544 1404928 10-5830052 4-8202845 •008928571 220 SdUARES, CUBES, saUARE AND CUBE ROOTS. ( No. Squares. Cubes. Squiire Roots. Cube Roots. Reciprocals. J 113 127G9 1442897 10-63014.58 4-8345881 •008849558 ) ) 114 12g96 1481544 10-6770783 4-8488076 •008771930 ) 115 13225 1520875 10-7238053 4-8629442 •008695652 ) 116 13456 1500896 10-7703290 4-8709990 •008020690 1J7 13689 1601613 108106538 4-89097.32 •008547009 \ 118 119 13924 1643032 10-8627805 4-9048681 •008474576 14161 1685159 10-9087121 4-9186847 -008403361 120 14400 1728000 10-9544512 4-9324242 -008333333 121 14641 1771.561 11-0000000 4-9460374 •008264403 , 122 14834 181.5848 11-0453010 4-9596757 -008196721 S V 123 15129 1860867 11-090.5305 4-9731898 •008130081 ) ( 124.- L5376 1906624 11-13.55287 4-9866310 •008064516 ) ( 125 15625 1953125 11-1803399 5-0000000 •008000000 ) 120 15876 2000376 1122497-32 5-0132979 •007936508 ) / 127 16129 2048383 11-2694277 5-020.5257 •007874016 ) 128 16.384 2097152 11-3137085 5-0390842 •007812500 S / 129 16641 2146689 11-3.573167 50527743 •007751938 S / 130 16900 2197000 11-4017.543 5-0{)57970 •007692308 ) ) 131 17161 2248091 11-44.5.5231 5-0787531 -007633588 S ) 132 17424 2299968 11-4891253 5-0916434 -00757.5758 S > 133 17689 23.52637 ll-.532.5()26 5-1044687 •007518797 S ) 134 17956 2406104 11-5758309 5-1172-399 •0074(52687 S ; 1.35 18225 2460375 11-6189.500 5-1299-378 -007407407 ) 136 18496 2.51.54.56 11-6619038 5-142.5632 -007352941 S 137 18769 2.5713.53 11-7040999 5-1551367 •007299270 ) ) 138 19044 2628072 11-7473444 5-1676493 •007246377 ) 139 19321 2')8.5619 11-7898-261 51801015 •007194245 S ) 140 19600 2744000 11-8321.596 5-1924941 •00714-2857 ) ) 141 19881 2803221 11-8743421 5-2048279 •007092199 S ) 142 20164 28632>S8 11-91637.53 5-2171034 •00704-32.54 ) ) 143 20449 29242!)7 11-9.582607 5-2293215 •006993007 ) ) 144 20736 2985984 12-0000000 5-24148-38 •006944444 ) 145 21025 304S(;25 12-0415946 5-253.5879 •0068i)6.5.52 ) 146 21316 3112130 120830400 5-21)50374 •00(5849315 ) 147 21609 3170523 12-1243557 5-2770321 -000802721 ) { 148 21904 3241792 12 16.5.5251 5-2895725 •0007567.57 ) < 149 22201 3307949 12-2065550 5-.301 4.592 •006711409 ) ( 150 22500 3375000 12-2474487 5-3132928 •00(5660607 ) 15] 22801 3-142951 12-288-3057 5-3250740 •000022517 ) ( 1.52 23104 3511008 12-32882-!0 5-33()8033 •006578947 ) ( 153 2.3409 3.581.577 12-3693109 5-3484812 •000535948 ) ( 1.54 23716 3652-2(>4 12-409f)736 5-3001084 •006493506 ) ( 155 24025 3723875 12-4498996 5-371(5854 •00(5451(513 ) ( 156 24336 .3796416 12-4899900 5-3832126 •000410256 y 157 24649 3869893 12-5299011 5-3010907 •000309427 ) ( 158 24964 .3944312 12.509.-^051 5-4()0I-302 •001)3-39114 ) ( 159 2.5281 4019679 12-0095-2(12 5-417.5015 •000-389308 ) ( KiO 25600 4090000 12-6491100 54288352 •000-2.50000 ) < 161 25921 417.32^1 12-688.5775 .5-4401218 •000211180 ) / 162 26244 4251528 12-7279221 5-451.3018 •00617-2840 ) ( 163 26569 4330747 12-7671453 5-4()25.556 •000134969 ) I 164 26896 4410944 12-806-2485 5-4737037 -006097.561 ) / 165 27225 4492125 12-8452326 5-4848006 -006000006 ) / 166 27.556 4574296 12^840987 5-495-Ti47 •006024(J96 ) / 167 27889 46.57403 12-9228480 5-.500^784 •00598-^024 / 168 28-224 4741632 12 9614814 5-5178484 •00595-2.381 / 109 28561 4820809 13-0000000 5-.5a=«7748 •005917160 > 170 28900 4913000 13-9384048 5-5390.583 •0058'<23.53 ) 171 29241 5000211 130700908 5-5.504991 •00.58479.53 ) 172 29584 5088448 13-1148770 5-5612978 •0058139.53 ) 173 29929 5177717 13-1529404 5-572054(5 •0057811347 ) 174 30276 5268024 13-1909000 5-5827702 •005747126J SaUARES, CUBES, SaUARE AND CUBE ROOTS. 221 No. Squares. Cubes. Square Roots. Cube Roots. Reciproc.-ils. 175 30625 5359375 13-2287566 5-.59.34447 005714286 176 30976 5451776 13-2664992 5-6040787 •005681818 177 31329 5.54.5233 13-3041347 5-614()724 •005649718 178 31684 5639752 13-34 1G64 1 5-6252263 •00.5617978 179 32041 5735339 13-37908f-2 56357408 •005586592 180 32400 .5832000 13-4164079 5-6462102 •00.5.5.55.5.56 181 32761 5929741 13-453(;240 5-6.566.128 •005.524862 182 33124 6028568 13-4907376 .5 6670511 •005494.505 183 33489 6128487 13-5277493 5-677-1114 •005464481 184 33856 6229504 13-6646600 56877340 •005434783 185 34225 6331625 13-6014705 5-6980192 •00540.5405 186 34596 6434856 13-6.381817 5-7082675 •00537(^344 187 34969 6539203 ' 13-6747943 5-7184791 •005347594 188 35344 6644672 13-7113092 5-7286543 •005319349 189 35721 67512(i9 13-7477271 5-7387936 •00529100.-^ ¥M 36100 6859000 13-7840488 5-7488971 •00526315^ 191 36481 6967871 13-8202750 5-7589652 •005235(i(>? ia-2 36864 7077888 13-8564005 5-76899S2 •00520833P 193 37249 7189517 13-8924400 5-7789966 •005181347 104 37636 7301384 13-9283883 5-7889(>04 •005154639 195 38025 7414875 13-9642400 5-7988900 •005128-205 196 38416 7529536 14-0000000 5-8087857 •005102041 197 38809 7645373 14-035(i688 5-8186479 •005076142 198 39204 7762392 140712473 5 8284807 •00.5050.505 199 39601 7880599 14-1067360 5-83S2725 •00.5025126 200 40000 8000000 14-1421350 5-8480355 •00.5000000 201 40401 8120601 14-1774469 5-8577660 •004975124 202 40804 8242408 14-2126704 5-8674673 •0049.50495 203 41209 8365427 14-2478068 5-8771307 •004926108 204 41616 8489064 14-2828569 5-8867653 •004901961 205 42025 8015125 14-3178211 5-8963685 •004878049 206 42436 8741816 14-3.527001 5-9059406 •0048543Ct9 207 42849 8869743 14-3874940 5-91.54817 •004830918 208 43264 8998912 14-4222051 5-9249921 •004807692 20,9 4.3681 9129329 14-4.568323 5-9344721 •()04784()89 210 44100 9261000 14-4913767 5-9439-220 •004761905 211 44.521 9393931 14-5258390 5-9533418 •0047393.36 212 44944 9.528123 14-.5602198 5-9627320 •004716981 213 45369 9663597 14-.5945195 5-9720926 •004694836 214 45796 9800344 14-6287388 5-9814240 •004672897 215 46225 9938375 14-6628783 5-9907-264 •004051163 216 46656 10077696 14-6969385 6-0000000 •004629630 217 47089 10218312 147.309199 6-009-24.50 •004608295 218 47524 103(50232 14-7648231 6-0184617 •004.587156 219 47961 105034.59 14-7986486 6-0276502 •004.5(>()210 220 48400 10648000 14-8323970 60368107 •004.54.54.55 221 43841 107^3861 14-8660687 6 04.594.35 •004.524887 222 49284 10941048 14-8996644 6-05.50489 •004504505 223 49729 11089567 14-9.331845 6-0041270 •004484305 224 50176 11239424 14-9666295 6-0731779 ■004464286 225 50625 11390625 1.5-0000000 6-0824020 •004444444 226 51076 11543176 15-0332964 6-0991994 •004424779 227 51.529 11697083 15-0065192 6-1001702 •004405286 228 51984 118523.52 15-0996689 6-1091147 ■004385965 229 52441 12008989 15-1327460 6-1180.332 •0043()6812 230 52900 12167000 15-1657.509 6-1269257 ■004347826 231 53361 12326391 15-1986842 6-1357924 -004329004 232 53824 12487168 15-2315462 6-1446.337 ■004310345 233 54289 12649337 15-2643375 6-1534495 •004291845 234 547.56 12912904 15-2970585 6-1622401 •004273.504 235 55225 12977875 15-3297097 6-17100.58 •00425.5319 236 55096 13144256 15-3622915 6-1797466 •004237288 19^ 222 aUA RES, CUBE; aUARE AND CUBE ROOTi I No. Squares. Cubes. Square Roots. Cube Roots. Reciprocals. / i 237 56169 13312053 15-3943043 0-1884G23 -004219409 ( S 238 56644 13481272 15-4272436 0-1971544 •004-201631 ( ( 239 57121 13651919 15-4596248 6-2058218 -004134100 ( ( 240 57600 13824000 15-4919334 6-2144650 -0041(56667 { -004149378 ( ( 241 58081 13997521 15-5241747 6-2230843 ( 242 58564 14172488 15-5563492 6-2316797 •004132231 243 59949 14348907 15-5884573 6-2402515 •004115226 ( 244 59536 14526784 15-6204994 6-2487993 •004093361 ( 245 60025 14706125 15-6524758 6-2573248 •004081633 / 246 60516 14886936 15-6843871 6-2658206 •004065041 / 247 61009 15069223 15-7162336 6-2743054 •004048583 > 248 249 ) 251) 61504 15252992 15-7480157 6-2327613 •004032258 / 62001 15438249 15-7797338 6-2911946 •004016004 / 62500 15625000 15-8113333 6-2996053 •004000000 / 251 63001 15813251 15-8429795 6-3079935 •003934064 ) 252 63504 16003008 15-8745079 6-3103590 •003908254 ) 253 64009 16194277 15-9059737 0-3247035 •003952569 / •003937008 ) 254 64516 16337064 15-9373775 0-3330256 255 65025 16581375 15-9687194 6-3413257 •003921569 } 2.^6 65536 16777216 16-0000000 6-3490042 •003900250 ; ) 257 66049 16974593 160312195 0-3.578011 •003891051 ) ) 258 66564 17173512 160(523734 6-3660963 ■00.3875909 ) 259 67081 17373979 1609347(59 0-3743111 •003861004 / ) 200 67600 17576000 16-12451.)5 6-3825043 •003846154 ) S 261 68121 17779581 1615.J4944 6-3906765 •003831418 ( 262 68644 17984728 16-18(54141 6-3933279 •00381(5794 \ 263 69169 18191447 16-2172747 6-4009535 •003802231 ( 264 69696 18399744 16-2480768 6-4150(537 •003737879 < 265 70225 18609625 16-2738200 6-4231.533 •003773535 ( 266 70756 18821096 16-30950(54 0-431 •2-276 •003759393 / ( 2i.)7 71239 190341(53 16-3401340 6-4392767 •00374.-.313 ; •003731343 ) ( 2(58 71824 19248832 16-3707055 6-44730.57 { 21i9 72361 . 19405109 16-4012195 0-4.)53148 •003717472 ( 270 72900 19683000 16-43107(57 6-4633041 •003703704 271 7344 J 19902511 16-46-20776 6-471-2736 •003699037 272 73984 20123643 16-49242-2.5 6-4792236 •00367(5471 ; ( 273 74529 20346417 16-5227116 6-4871541 •0030!53D04 > •0036490:55 ) •00363(53(54 ) 274 75076 20570824 16-5529454 6-4950(553 275 75625 2079(5875 16-5831240 6-5029572 276 76176 21024576 16-6132477 6-5103300 •0030231 ■<3 ) ( 277 76729 21253933 16-6433170 6-513(5339 •003610103 ) •0035!>7I22 ) < 278 77284 21484952 16-6783320 6-52(55189 ( 279 77841 21717639 16-7032931 6-5343351 •003584229 ) < 280 78400 21952000 16-73.32005 6-54213-26 •003571429 ) ? 281 78961 22183041 16-7030546 6-5499 116 •003558719 ) I 282 79524 224257(58 16-7928558 6-5576722 •003540099 ) / 233 80089 22065187 16-822(5038 ^V56.54144 •003533509 ; / 284 80656 2290631)4 16-8.522995 6-5731385 •003.522127 ') } 285 81225 23149125 16-8319430 6-5808443 •00350H772 ) ) 286 81796 23393650 16-911.5345 6-5885323 •00.34905; »3 ) > 287 82369 23G399;)3 16-9410743 6-5962023 •003434321 '' ) 288 82944 23837372 16-9705627 6-6038545 •003472222 289 83521 24137569 17-0000000 6-6114890 •0034(5020-' 290 84100 24339000 17-0293864 6-6191000 •003443270 , 291 84681 24(542171 17-0587221 6-62(57054 •00343642(5 ) 292 852(54 24897088 17-0880075 6-634-2874 •0034-24058 ) 293 85849 25153757 17-1172428 6-6418522 •003412969 ) 294 86436 25412184 171404282 6-6493993 •003401301 ) 295 87025 25(572375 17-17.55040 6-6509302 •003339331 ) 296 87616 25934336 17-2040.505 6-6644437 •003373378 ) ) 297 83209 26193073 17-2336879 6-6719403 •003367003 ) h"!^ 88804 26463592 17-2626705 6-0794200 •003355705 ^ SaUARES, CUBES, SaUARE AND CUBE ROOTS, 223 No. Squares. Cubes. Square Roots. Cube Roots. Reciprocals. \ 299 89401 26730899 17-2916165 6-6868831 •003344482 / 300 90000 27000000 17-320.5081 6-6943295 •003333333 / 301 90601 27270901 17-3493516 6-7017593 •003322259 ) 302 91204 27543608 17-3781472 6-7091729 •00.3311258 ) 303 91809 27818127 17-40689.52 6-7165700 •00.3301330 ) 304 92416 28094464 17-4355958 6-7239508 •003289474 ) 305 93025 28372625 17-4642492 6-73131.55 •003-278689 ; 306 93636 2.8652016 17-49285.57 6-7386641 •003267974 ) 307 94249 28934443 17-52141.55 6-7459967 •003257329 ) 308 94804 292J8H2 17-5499288 6-7533134 -003246753 ) 309 95481 29503609 17-5783958 6-7606143 •003236246 ) 310 96100 29791000 17-6068169 6-7678995 •003225806 ) 311 96721 30080231 17-6351921 6-7751690 •003215434 ) 312 97344 30371328 17-6635217 6-78-24229 -00.3205128 ) 313 97969 30664297 17-6918060 6-7896613 •003194888 ) 314 98596 30959144 17-7200451 6-7968844 -003184713 ) 315 99225 31255875 17-7482393 6-8040921 •003174603 ? 316 99656 315.54496 17-7763888 6-8112847 •003164.5.57 } -00:^154.574 ) -003144654 ) •003134796 ( 317 100489 31855013 17-8044938 6-8184620 318 101124 32157432 17-8325545 6-8256242 319 101761 32461759 17-8605711 6-8327714 320 102400 327C8000 17-8885438 6-8399037 •003125000 / 321 103041 33076161 17-9164729 6-&170213 •003115265 ) 322 103684 33.386248 17-9443584 6-8541240 -003105590 ) 323 104329 33698267 17-9722008 6-8612120 •003095975 / 324 104976 34012224 180000000 6-8682855 •003086420 / 325 105625 34.328125 18-0277564 6-8753433 •0030769-23 ) 326 106276 34645976 180554701 6-8823888 003067485 ( 327 10G929 349155783 18-0831413 6-8894188 -00.3058104 ( -003048780 ? -003039514 ? 328 107584 35287.552 18-1107703 6-8964345 329 108241 3.5611289 18-1383571 6-9034359 330 108900 35937000 18-1659021 6-9104232 •003030303 ( 331 109561 36264691 18-1934054 6-91739&4 •003021 148 / 332 110224 36594368 18-2208672 6-9-243556 •00301-2048 ? 333 110889 36926037 18-2482876 6-9313088 •003003003 ( 334 111556 37259704 18-2756669 6-9382321 •002994012 ( •002985075 ( •002976190 -( •002967359 ( •002958580 { •002949853 ( 335 112225 37595375 18-3030052 6-9451496 336 112896 37933056 18-3303023 6-9.520533 337 113569 38272753 18-3.57.5593 6-9589434 338 114244 38614472 18-.3847763 6-9658198 339 114921 38958219 18-4119526 6-9726826 340 115600 39304000 18-4390889 6-9795321 •002941176 ( 341 116281 39651821 18 4661853 6-9863681 •002932551 ( 342 116964 40001688 18-493-2420 6-9931906 -002923977 ( 343 117649 40353607 18-5202592 7-0000000 -00291.5452 ( 344 118336 40707584 18-5472370 7-0067962 -002906977 ( 345 119025 41063625 18-57417.56 7-0135791 -002898551 ( 346 119716 41421735 18-6010752 70203490 •002890173 ■002881844 ( •002873563 ( -002.865330 ( •002857143 ( 347 12U409 41781923 18-6279360 7-0271058 348 121104 42144192 18-6547581 7-0338497 349 121801 42508549 18-681.5417 70405360 350 122500 42875000 18-708-2809 7-0472987 351 123201 43243551 18-7349940 7-0540041 •002849003 352 123904 43614208 18-7616630 7-0606967 •002840909 ( 353 124609 43986977 18-7882942 7-0673767 •002832861 ( 354 125316 44361864 18-8148877 7-0740440 •002824859 ( 355 125025 44738875 18-8414437 7-0806988 •002316901 ( 356 126736 4.5118016 18-8679023 70873411 •002808989 357 127449 45499293 18-8944436 7-0939709 •0028011-20 358 128164 45862712 18-9208879 7-1005835 , -002793296 359 128881 46268279 18-9472953 7-1071937 •002785515 360 129600 46656000 18-9736660 7-1137866 •002777778 224 SaUARES, CUBES, SQUARE AND CUBE ROOTS. f I No. Squares. Square Roots. Reciprocals. 3G1 130321 47045831 19-0000000 7-1203674 002770083 3(32 131044 47437928 190202976 71269360 002762431 363 131769 47832147 190525589 71334925 002754821 364 132496 48228544 190787840 7-1400370 002747253 3G5 133225 48627125 191049732 7146.5695 002739726 36G 133956 49027896 191311265 7-1530901 002732240 367 134689 49430863 191572441 7-1595988 002724796 3()8 135424 49830032 191833261 71660957 002717391 ■Md 136161 50243409 192093727 7-1725809 002710027 370 136900 50653000 1923.53841 7-1790544 002702703 371 137641 51064811 192613603 7-1855162 002695418 37-2 138384 51478848 19 2873015 7-1919663 002688172 373 139129 51895117 19 3132079 7-1984050 002580965 374 139876 52313624 193390796 72048322 002673797 375 140625 52734375 193649167 7 2112479 002666667 376 141376 53157376 19 3907194 7-2176522 002659574 377 142129 53582633 19-4164878 72240450 002652520 378 , 142884 540101.52 19 4422221 7-2304268 002645503 379 143641 54439939 194679223 7-2367972 002638521 380 144400 54872a00 194935887 72431.565 002631579 381 145161 55306:141 195192213 72495045 002624672 382 145924 55742968 19 5448203 72558415 002617801 383 146G89 56181887 19-5703858 7-2621675 002610966 384 147456 56623104 195959179 7-2<)84824 002604167 3S5 148225 57066625 19 6214169 7-2747864 002597403 386 148996 57512456 19 6468827 7-2810794 002590674 387 149769 57960603 19672:}1.56 7-2873617 002583979 388 150544 58411072 19 69771.56 7-2936330 002577320 389 151321 58863869 197230829 72998936 002570694 31KI 152100 59319000 197484177 7-3061436 002564103 ;ijl 15J881 59776471 19 7737199 7-3123828 002557545 :!.I2 1.53664 60236288 197989899 7-3186114 00-2551020 :;j3 154449 60098457 19 8242276 7-3248295 002544529 394 155236 611()2934 19 8494332 7-3310369 002.538071 395 156025 61629875 198746069 7-3372339 002.531646 396 156816 62099136 198997487 7-3434205 002525253 397 157609 62570773 19-9248588 7-3495966 002518892 398 158404 63044792 199499373 7-3557624 002512563 i;99 159201 63521199 199749844 7-3619178 002506266 400 160000 64000000 200000000 7-3680630 002500000 401 160801 64481201 20 0249844 7-3741979 002493766 4('2 161604 64964808 20-0499377 7-3803227 002487562 403 162409 65450827 20 0748599 7-3864373 00248J390 404 163216 65939264 20 0997512 7-3925418 002175248 405 164025 66430125 20 1246118 7-3986363 002469136 406 164836 66923416 20 1494417 7-4047206 00240:«)54 407 165649 67419143 20-1742410 74107950 002457002 408 166464 67917312 20-19'.K)099 7-4168.595 002-150980 409 16 7281 68417929 20 2237484 74229142 002444988 410 168^00 68921000 2:) 2484567 7-4289589 00243902-1 411 168921 69426531 20 2731349 74349938 002433090 412 169744 69934.528 202977831 7-4410189 002427184 413 170569 70444997 :. 20 3224014 74470342 002421308 414 171396 70957944 ■' 20 3469899 7-4530399 002415459 415 172225 71473375 20-3715488 7-4590359 002409IV39 416 173056 A 71991296 20-3960781 7-4650223 0024:J(>816 417 173.889 72511713 20-4205779 7-4709991 00-3398082 418 174724 73034632 20-4450483 7-4769664 002392344 419 175.)61 73560059 20-4694895 7-4829242 002386;'3.5 420 176400 74088000 20-4939015 74888724 002380952 421 1*7241 74618461 20-5182845 7-4948113 00237.5297 422 178084 75151448 30 5426386 7-5007406 002369668 S QUA RES, CUBES, SQUARE AND CUBE ROOTS. 225 No. Squares. Cubes, Square Roots. Cube Roots, Reciprocals. ^ 423 178929 75686967 20-5669(;38 7-5066607 ■002364066 424 179776 76225024 20-5912603 7-5125715 ■002358491 425 180625 76765625 20-61 5.^281 7-5184730 •0023.52941 426 181476 77308776 20-6397674 7-.52436.52 •002347418 427 182329 77854483 20603978:! 7-5302482 ■002341920 428 183184 784027.52 20-6881009 75361221 -002336449 429 184041 78953589 20-7123152 7.5419867 •002331002 430 184900 79507000 20-7364414 7-5478423 -00232.5581 431 185761 80062991 207605395 75536888 •002320186 432 186624 806215C8 207846097 7-5595263 •002314815 433 187489 81182737 20 8086520 7-5653548 •002309469 434 188356 81746504 20 S32r,i-,67 7.5711743 ■002304147 435 189225 82312875 208566536 7-5769849 ■00-2298851 436 190096 82881856 208806130 7-5^27865 ■002293578 437 190969 83453453 20 9045450 7-58S.5793 •002^3883.30 438 191844 84027672 20-9284495 7-5943633 •002283105 439 192721 84604519 20-9523268 7 6001385 •002277904 440 193600 85184000 20-9761770 7-6059049 -002272727 441 194481 8.5766121 21-OOOOGOO 7-6116626 •0-022C7574 442 19.5364 86350888 21-0237960 7-6174116 •00-2262443 443 196249 86938307 21 0475652 7-6231519 •002257336 444 197136 87528384 21-0713075 7-6288837 0022.522.52 445 198025 88121125 210950231 7-6346067 -0C2247191 446 198916 88716536 21-1187121 7-6403213 -002-2421.52 447 199809 89314623 211423745 7-6460272 •002-237136 448 200704 89915392 211660105 7-6517247 •002232143 449 201601 90518849 211896201 7-6574138 •0022-27171 450 202500 91125000 21 2132034 7-6630943 •0022222-22 451 203401 91733851 212367606 7-6687665 •002217295 452 204304 92345408 21-2602916 76744303 •on22]2:?«9 453 205209 92959677 21-2837967 7-6800857 ■002207506 454 206116 935766G4 21 3072758 7-6857328 -002202643 455 207025 94196375 21-3307290 7-6913717 •0021978U2 456 207936 94818816 21-3.541565 7-6970023 -002192982 457 208849 95443993 213775583 7-7026246 ■00213S184 458 209764 96071912 21-4009346 7-7G8-2388 •002183406 459 210681 96702579 214242853 7-7188448 •002178649 460 21 1600 9733f^000 214476106 7-7194426 •002173913 461 212521 97972181 214709106 7 72:50325 •002169197 462 213444 98611128 214941853 7 7306141 •002164502 463 214369 99252847 21-5174348 7-7361877 •002159827 464 215296 99R97344 215406592 7-7417532 •002155172 465 216225 100.544625 21.5638587 77473109 •002150.538 466 217156 101194696 21-5870331 7-7528606 •002145923 467 218089 101847.563 21-6101828 7 758^1023 •002141328 468 219024 102503232 21-6333077 7-7639361 •002136752 469 219961 103161709 21-6564078 77694620 •0021.32196 470 220900 103823000 21-6794834 7-7749801 •002127660 471 221841 104487111 21-7025344 7-7804904 •002123142 472 222784 105154048 21-7255610 7-7859928 ' ^0021 18644 473 223729 10.-F28817 21-748.5632 77914875 •002114165 474 224676 10«>496424 217715411 77969745 •002109705 475 225625 107171875 21-7944947 7-8024538 •00210.5263 476 226576 107850176 21 8174242 78079254 •002100840 477 227529 108.531333 218403297 7-8133892 •002096486 478 228484 109215352 218632111 7-8188456 •0020920.50 479 229441 109902239 21-8860686 7-8242942 •002087683 480 230400 110592000 219089023 7-8297353 •002083333 481 231361 111284641 219317122 7-8351688 •002079002 482 232324 111980168 21-9544984 78405949 •002074689 483 233289 112678587 21-9772610 7 8460134 •002070393 484 234256 113379904 22 0000000 78514244 •002066116 226 SQUARES, CUBES, SQUARE AND CUBE ROOTS. [■«.. Squares. Cubes, Square Roots. Cube Roots. Reciprocals. ) 485 235225 114034125 22 0227155 7-8568281 -002061856 ) 486 236196 114791256 220454077 7-8622242 •002057613 487 237169 115501303 220680765 78676130 •002053388 488 238144 116214272 2209072-20 7-8729944 •002049180 489 239121 116930169 221133444 7-8783684 ■002044990 ) 490 24U100 117649900 221,359436 7 8837352 ■002040816 ) 491 241081 118370771 221585198 7-8390946 •002036660 ) 492 242064 119095488 221810730 7-8944468 ■002032520 ) 493 243049 119823157 22 2036033 7-8997917 •002028398 ) 494 244036 120553784 22 2261108 7-9051294 •002024291 ) 495 245025 121287375 22 24859.55 7-9104599 •002020202 ) 496 246016 122023936 22 2710575 7-91.57832 •002016129 ) 497 247009 12270:M73 22-2934968 7-9210994 •002012072 498 248004 123505992 22 3159136 7-9264085 •002008032 499 249001 1^1251499 223383079 7-9317104 •002004008 500 9,50000 125000000 22-3606798 79370053 •002000000 501 251001 125751501 22 3830293 7942-2931 •001996008 502 252004 126506008 22 4053505 79475739 •001992032 503 253009 127263527 224276615 7-9.528477 •001988072 504 254016 128024064 22 4499443 79.581144 •001984127 505 255025 128787625 224722051 7-9633743 •001980198 506 256036 129554216 224944438 79686271 •001976285 507 257049 130323843 22-5166605 7 9738731 •001972387 508 258064 131096512 225388553 7-9791122 •001968504 509 259J81 131872229 22 5610283 7-9843444 •001964637 510 260100 132651000 22-5331796 7-9894697 •001960785 511 261121 13343-2831 22-6053091 7-9947883 •001956947 512 262144 134217728 226274170 80000000 •0019.53125 513 263169 135005697 22 6495033 8-0052049 •001949318 514 264196 135796744 226715681 80104032 •0019455-25 515 265225 136590875 22 69361 14 8 015594(5 •001941748 516 266256 137388096 227156334 80207794 •001937984 517 267289 13818H413 22 7376341 8 0259.574 •001934236 518 268324 133991832 22 7596134 80311287 •001930.502 519 269361 13979H359 227815715 8 0362935 •00192(5782 520 270400 140608000 22 8035085 80414515 ■001923077 521 271411 141420761 22 8-2.54-244 8046(5030 •001919386 522 272484 14-2-33(;648 228473193 8 0517479 •001915709 523 273529 143055667 22 8(591933 8-051)8862 00191-2046 524 274576 143377824 22 8910463 80820180 •001908.397 525 275625 144703125 22 9128785 8 0671432 ■001904762 52(i 276676 145531576 22 9346899 80722620 ■001901141 527 277729 146363183 22 9564806 8 0773743 ■001897.533 528 278784 147197952 22 9782.506 8 0824300 •001893939 529 279841 148035889 23 0000000 8 087.5794 •0018003.59 530 280900 148877001 23 02172B9 8 09-2(57-23 •00188(5792 531 281961 149721291 23 0434372 8 0977589 001883239 532 283024 I5!i5(>y768 23 0651252 8 1-0-28390 ■001879699 533 284089 151419437 23 08679-28 8 1079128 •001876173 534 285156 15-2273304 23-1084400 8112.9803 •001872(559 535 23I-.225 153130375 23 1300(570 8-1180414 •001869159 536 287296 15399 )656 23 1516738 8-12309(52 •001865072 537 2383(59 154S54153 2317.32605 8 1281447 •001862197 538 289444 15572C872 23 1948-370 8-1331870 ■0018.58736 539 290521 156590819 23 216.3735 8-1.382230 •001855288 540 291600 1574«;4000 23 2379001 8 1432529 O018518.)2 541 292681 li834!)421 23 25940(37 8 1482765 •001848429 542 293764 159220088 23 2808935 8-15.32939 •00184.5018 543 294849 160103007 23 3023604 8 1583051 •00184ir>21 544 295936 1609«9I84 23-.3238076 8 1633102 •001!^3=f235 545 297025 161878625 23 34.v2:^51 81683092 •0018348(52 54() 29-116 li)2771336 23 3656429 81733020 -001831502 SaUARES, CUBKS, 5 a U A R E AN D CUBE R T s . 22 > No. Squares. Cubes. 1 Square Roots, j I Cui^e R(K)(s, Reciprocals. &47 299209 163667323 \ 23-38.80311 1 8-1782888 | •OOlF-28154 548 3003^4 1645^,6592 j 23-40939J8 8-1832695 •001824818 54i) 3014U1 105469149 1 23-4307490 8-1882441 -001821494 551) 302500 1G6375000 23-4520788 8-1932127 -00 IH18182 551 303601 1672.S4151 23-4733892 8-1981753 -001814882 552 304704 168198608 23-4946802 8-2031319 •091811594 553 305809 169112377 23-5159.5-20 8-20808-25 •001808318 554 306916 1700314&4 23-5372046 8-2130271 •001805054 555 308025 170953875 23-5584380 8-2179657 ■001801802 556 309136 171879616 23-5796522 8-2228985 -001798561 557 310249 172808693 23-6008474 8-2278254 -001795332 558 311364 17.3741112 23-6-2-20-2:36 8-2327463 -001792115 559 31^2481 174676879 23-6431803 8-2376614 -00)788909 560 313600 175616000 23-6643191 8-2425706 -001785714 561 314721 176558481 23-6854386 8-2474740 •001782531 562 315844 1775043-28 23-7065392 8-2523715 •00 779359 563 316969 178453547 23-7276210 '8-2572835 •001776199 564 3ie098 179406144 23-7486842 8-2r.21492 -001773050 565 319225 180362125 23-76972S6 8-2670294 -00 769912 - 566 320356 181321496 23-7907545 8-2719039 •001766784 567 321489 182-2842!33 23-8117618 8-27677-26 •001763668 568 322624 183250432 23-8327500 8-2816255 •001760563 569 323761 184220009 23-8537-209 8-2864923 •001757469 570 3-J49'iO 185193000 23-8740728 8-2913444 •001754386 571 326041 186169411 23-8956003 8-2961903 •001751313 572 327184 187149248 23-9165215 8-3010304 •001748252 573 328329 18813-2517 ■ 23-9374184 8-30.58851 •001745-201 574 329476 189119224 23-9582971 8-310G941 •00 742160 575 330625 190109375 23-9791576 8-3155175 •001739130 576 331776 191102976 24-0000000 8-3203353 •00173 3111 577 332927 192100033 24-0-208-243 8-3251475 •001733J02 578 334084 193100552 24-0416306 8-3299542 •001730104 579 335241 194104539 24-0624188 8-3347553 •001727116 580 336400 19511-2000 24-0831891 8-3395.509 •001724138 581 337561 196122941 24-1039416 8-3443410 •001721170 582 338724 197137368 24-1240762 8-3491256 -00 .18213 583 339889 198155287 24-1453929 8-3539047 •0017152G8 584 341056 199176704 24-1660919 8-3586784 •001712329 585 342225 200201625 24-18u7732 8-3634466 •GO i 709402 586 343396 201230058 24-2074369 8-3682095 •0017013485 587 344569 202262003 24-2280829 8-3729668 •001703578 ! 588 34574-4 203297472 24-2487113 8-3777188 •001 700880 ' 589 346921 204336469 24-2693222 8-3824853 •001697793 ■ 590 348100 205:379000 -24-2899156 8-3872065 -001694915 ^ 591 34J281 206425071 24-3104996 8-3919428 •0ul6t*2047 592 350464 207474688 24-3310501 8-3966729 •001689189 593 351649 208527857 24-3515913 8-4013981 •001686341 594 35-2836 209584584 24-3721152 8-4061180 •0 .li 83502 595 354025 210644875 24-3926218 8-410832(5 •0016-30672 596 355216 211708736 24-4131112 8-4155419 •0U1G77852 597 356409 212776173 24-4335834 8-4202480 •00167.5042 / 598 357604 213347192 24-4540385 8-4249448 •00167-2241 ) 599 35880J 214921799 24-4744765 8-4296383 •00 . 47446 I 608 369664 22475.5712 24-6576560 8-4716471 •001644737 228 SaUARES, CUBES, SQUARE AND CUBE ROOTS. 1 No. Squares. Cubes. Square Rools. Cube Roots. Reciprocals. / ! G09 370881 225866529 24-677CQ54 8-4762892 •001642036 ^ ) 610 372100 226981000 24-6981781 8-4809261 ■001639344 ( S 611 373321 228099131 24-7184142 8-48.55579 •0016366-';i ( \ 612 374544 229220928 25-7386338 8-4901848 •001633987 ( \ 613 375769 230346397 24-7588368 8-4948065 •001631321 { ( 614 376996 231475544 24-7790234 8-4994233 •001628664 ( \ 615 378225 232608375 24-7991935 8-5040350 •001626016 ( ( Gie 379456 233744896 24-8193473 8-5086417 •001623377 ( \ 617 380689 234885113 24-8394847 8-5132435 •001620746 I ( 618 381924 236029032 24-8596058 8-5178403 -001618123 ( 619 383161 237176659 24-8797106 8-5224331 -001615509 / { 620 384400 238328000 24-8997992 8-5270189 •001612903 ( 621 385641 239483061 24-9198716 8-5316009 •001610306 ( 622 386884 240641848 24-9399278 8-5361780 •001607717 623 388129 241804367 24-9599679 8-5407501 •001605136 624 389376 242970624 24-9799920 8-5453173 •001602564 625 390625 244140625 25-0000000 8-5498797 •001600000 , 626 391876 245314376 25-0199920 8-5544372 •001597444 / 627 393129 246491883 25-0399681 8-5589899 -001594896 ) 628 394384 247673152 25-0599282 8-5635377 •001592357 > 62y 395641 2-18858189 25-0798724 8-5680807 •001589825 ) 630 396900 250047000 25-0998008 8-5726189 -001587302 > 631 398161 251239591 25-1197134 8-5771.523 -001584786 ) 632 399424 252435968 25-1396102 8-5816809 -001582278 ) 633 400689 253636137 25-1594913 8-5862247 -001579779 ) 6:"i4 401956 254840104 25-1793566 8-5907238 -001577287 ) 635 403225 256047875 25-19i>2063 8-5952380 -001574803 ) ( 636 404496 257259456 25-2190404 8-.5997476 •001572327 ) 637 405769 258474853 25-2388589 8-6042.525 •001569859 ) \ 638 407044 259694072 25-2586619 8-6087526 •001567398 ) ( 639 408321 260917119 25-2784493 8-6132480 •001564945 ) ( 640 409600 2()2144000 25-2982213 8-6177388 -001562500 ) ( 641 410881 263374721 25-3179778 8-6222248 -001.560062 ) ( 642 412164 264(509288 25-3377189 86267063 -0015.57632 ) { 643 413449 26.5847707 25-3574447 8-6311830 -001.555210 S 644 414736 267089984 25-3771551 8-63.56551 -0015.52795 645 416125 268336125 25-3968502 8-64012-26 •001550388 646 417316 269585136 25-4165302 8-6445855 •001547988 ( 647 418609 270840023 2.5-4361947 8-6490437 •001.545595 { 648 419904 272097792 25-4558441 8-6534974 •001543210 ( 649 421201 273359449 25-4754784 8-6579465 •001540832 ( 650 422500 274625000 25-4950976 8-6623911 -001538462 ( 651 423801 27;>894451 25-5147013 8-6668310 -001536098 652 425104 277 J 67808 25-5342907 8-6712665 -001533742 \ 653 426409 278445077 25-5538647 8-6756974 •001531394 654 427716 2797262W 25-5734237 8-6801237 •001529052 655 429025 281011375 25-5929678 8-6845456 •001.526718 ) 656 430336 282300416 25-6124969 8-6889630 •001.524390 \ 657 431639 283593393 25-6320112 8-6933759 •001522070 658 432964 284890312 25-6515107 8-6977843 •001519751 ) 659 434281 286191179 25-6709953 8-7021882 •001517451 ( ( 660 435600 287496000 25-6904652 8-706.5877 •0015151.52 ( ( 661 436921 288804781 25-7099203 8-7109827 •001512859 ( ( 662 438244 290117528 25-7293607 8-7153734 -001510574 ' ( 663 439569 291434247 25-7487864 8-7197596 -001508296 ( ( 664 440896 292754944 25-7681975 8-7241414 -001506024 665 442225 294079625 25-7875939 8-7285187 -001503759 666 443556 295408296 25-80697.58 8-7328918 •001501502 s 667 444899 296740963 25-8263431 8-7372604 -001499250 ( 668 446224 298077632 25-8456960 8-7416246 -001497000 ( 669 447561 299418309 25-8650343 8-7459846 .001494768 (670 448900 300763000 25-8843582 8-750:i401 ^^001492537j SQUARES, CUBES, SQUARE AND CUBE ROOT; 229 No. 1 Squares. 1 1 Cubes. 1 Square Roots. j Cube Roots. Reciprocals. (J / 671 450241 302111711 25-9036677 8-7546913 •001490313 ( ; 672 451584 303464448 25-9229628 8-7590383 -001488095 ' ) 673 452929 304821217 25-9422435 8-7633809 •00148.5884 ) 674 454276 306182024 25-9615100 8-7677192 •001483680 ) 675 455625 307546875 25-9807621 8-7720.532 •001481481 I 676 456976 308915776 26-0000000 8-7763830 -001479290 ) 677 458329 310288733 26-0192237 8-7807084 •001477105 •001474926 ) 678 459684 311665752 260384331 8-7850296 ) 679 461041 313046839 26-0576284 8-7893466 •001472754 ( ) 680 462400 314432000 26-0768096 8-7936593 •001470588 ( > 681 463761 315821241 26-0959767 8-7979679 •001468429 I -001466276 / 682 465124 317214568 26-1151297 8-8022721 ) 683 466489 318611987 26-1342687 8-8065722 •001464129 ( } 684 I 685 467856 320013504 26-1533937 8-8108681 •001461988 { 469225 321419125 26-1725047 8-8151598 •001459854 ( ) 686 470596- 322828856 26-1916017 8-8194474 •001457726 ( ' 687 471969 324^2703 26-2106848 8-8237307 •001455604 / 688 473344 325660672 26-2297541 8-8280099 •001453488 689 474721 327082769 26-2488095 8-8322850 •001451379 ( 600 476100 328509000 26-2678511 8-8365559 •001449275 691 477481 329939371 26-2868789 8-8408227 •001447178 6J-2 4T8864 331373888 26-3058929 8-8450854 •001445087 693 480249 332812557 26-3248932 8-8493440 -001443001 694 481636 334255384 26-3438797 8-8535985 •0014409-22 695 483025 335702375 26-3628527 8-8578489 •001438849 696 484416 337153536 26-3818119 8-8620952 -001436782 697 485809 338608873 26-4007576 8-8663375 •001434720 ( 698 487204 340068392 26-4196896 8-8705757 -001432665 ( 699 488601 341532099 26-4386081 8-8748099 ■001430615 ( 700 490000 343000000 26-4575131 8-8790400 •0014-28571 ( 701 491401 344472101 26-4764046 8-8832661 •00142(3534 ( •0014245U1 ( 702 492804 345948408 26-4952826 8-8874882 703 494209 347428927 26-5141472 8-8917063 •001422475 ( 704 495616 34891 36c4 26-5329983 8-8959204 •001420-1.55 { 705 497025 350402625 26-5518361 8-9001804 •001418440 ( 706 498436 351895816 26-5706605 8-9043366 -001416431 707 499849 353393243 26-5894716 8-9085387 •001414427 708 5L)1264 354894912 26-6082694 8-9127369 •00141-2-! 2i» 709 502681 356400829 26-6270539 8-9169311 •0014lO-!:;7 ( 710 5U4100 357911000 26-6458-252 8-9211214 •0014U84.'^1 ( •0014i>vi4T0 < 711 505521 359425431 26-6645833 8-9253078 712 506944 360944128 26-6tt33-281 8-9294902 •00140-14. ;i / 713 508309 362467097 26-7020598 8-9336687 •00 J 4;, ■.:.-.,;:, 714 509796 363994344 26-7207784 8-9378433 •0014-,)' i:, li 715 511225 365525875 26-7394839 8-9420149 •0013jc-..i 739 546121 403583419 271845544 9 0409655 001353180 \ , 740 547600 40.5224000 27 2f)29140 90450419 001351351 ) > 741 549801 406869021 27 2213152 9 0491142 001349528 S 74'i 550564 408518488 27 2396769 9-0531831 001347709 743 552049 410172407 27-2580263 9 057-2482 00134.5895 744 553536 411830784 27-2763634 90613093 001344086 745 555025 413493625 27-2946881 9 0653677 00134-2282 > 746 550516 415160936 273130006 90694220 00134U483 \ > 747 558009 416832723 27-3313007 90734728 0013.38688 ( > 748 559504 418.50S992 27-3495887 9 0775197 001336898 ( > 749 561001 420189749 27-3()78644 9-0815631 0013.35113 ( ' 750 562500 421875000 27-3861279 9 0856030 001333333 ( ) 751 564001 423564751 27 4043792 9-0896352 G013315.58 ( ) 752 565504 425259008 27-4226184 9-0936719 001329787 <, ) 753 567009 42G9577T7 27-4408455 90977010 001328021 ( ) 754 568516 428661064 27-4590604 91017265 001326260 \ ) 755 570025 430368875 27 4772633 9-1057485 OOJ 32-1503 <) ) 756 571536 432081216 274954542 9-1097C)69 001322751 ( ) 757 573049 433798J93 275136330 9-1 137818 001321004 ( ) 758 574564 43.5519512 27-5317998 9 1177931 003319261 ( 759 576081 437245479 27 5499546 9 121P010 001317523 ( ) 760 577600 438976000 27-5680975 9 12581)53 001315789 ( ) 761 579121 440711081 27 5>-'62234 9 1298061 001314060 ; 762 580(i44 442450728 27 6043475 9 1338034 001312336 ( 763 582169 444194947 27 6224546 9 13-17971 001310616 ( ) 764 583696 445943744 27 640.5499 9 1417874 00i3089;'l 0013;;7];I0 ) 765 585225 447697125 27 6586334 9 14.57742 ) 766 586756 449455098 27-6767050 91497.576 001305483 ) 767 588289 451217663 27-6947648 9 1537375 001303781 ) 768 589824 4.52384832 27-7128129 91577139 001302083 ) 769 591361 454756609 27 7308492 9 1616869 001300390 ) 770 592900 4.50533000 27-7488739 9 165r,565 001298701 ) 771 594441 458314011 277(i68868 9169r)225 001297017 ) 772 595984 460099648 277848880 917.3.5852 00129,5337 ) 773 597529 481889917 27 8028775 91775445 001293661 ) 774 599076 463684824 27 8208555 9 181.5003 001291990 775 600625 465484375 27 8.388218 91854.527 0«12.)0323 776 602176 467288576 27 8.567766 9J894018 0012-^8660 777 603729 469097433 27 8747197 9 1933474 001237001 ( 778 60.5-284 476910952 27-8926514 9197-2897 001235347 ( 779 600841 472729139 279105715 9 2012286 001283697 ( 780 608400 4745.52000 27 9284801 9 2051641 001282051 ( 781 609961 476379.541 27-9463772 9 2090902 001280410 ( 782 611524 478211768 27 9642'>29 9 2130250 001278772 ( 783 613089 480048687 27 9821372 9 2169505 001277139 ( 784 614f;56 481890304 28 0000000 9 2-208726 00127.5510 ( 785 616225 483736625 28 0178515 9 2247914 P01273885 ( 786 617796 485587656 28-03.56915 9 2287068 0C1272265 ( 787 619369 487443403 28-0.53.5203 9 2326189 001270648 ( 788 620944 489303872 28-0713377 9 2365277 001269036 ( 789 622521 491169069 28-0891438 9-2404333 001267427 ( 790 624100 4930391)00 ^1069386 9 2443.355 001265823 / 791 625681 494913671 28-1217222 9 2482344 001264223 ) 792 627624 496793088 28 1424946 9 2521300 001262626 ) 793 628849 498577257 28-160-2557 9 2.560224 001261034 / 001259446^^ ^94 630436 500566184 28 1780056 9-2599114 SaUARES, CUBES, SQ,UARE AND CUBE ROOTS. 231 rr^ Squares. Cubes. Square Roots. Cube Roots. Reciprocals. / 795 632025 502459875 281957444 92637973 -001257862 i 79(3 633616 504358336 282134720 92670798 •001256281 ) 797 635209 506261573 28-2311384 9271.5592 -001254705 ) 793 636804 508169592 28-2488938 9-2754352 •001253133 ) 799 638401 510082399 28-«66.5881 92793081 •001-251364 ( 800 640000 512000000 28 2842712 92331777 -001250000 ( > 8U1 641601 513922401 28 3019434 92870444 001248439 ) -001246883 ( •001245330 ( 80-2 645204 51.5849608 283196045 9 2909072 803 644809 517781627 28 3372546 92947671 804 646416 519718464 23-3548938 9-2936239 •001243781 ( / 805 648025 52166J125 23-3725219 93024775 •001242-236 \ ) 806 649636 523606615 28-3901391 9-3063273 •001240695 ( ) 807 651249 52,5.557943 28 4077454 9-3101750 •001239157 ( / 803 652864 527514112 28 4253408 9-3140190 •001237624 ^, •001236094 ( -001234568 { •001233046 ( •001231.527 ) ) 809 654481 529475129 28 4429253 9-3178599 ) 810 655100 531441000 28-4604989 9-3216975 811 657721 533411731 28-4780617 93255320 ) 812 659344 53.5387328 23-49.56137 9-3293634 ) 813 660989 537367797 285131.549 9-.3331916 •001230012 ( ) ■ 814 662596 539353144 28 5306852 9-3370107 •00]2^28.501 ) 815 664225 .541343375 28-5432048 9-3408.336 •0012-26994 ( 816 665856 543338496 23 5657137 9-3446575 -001225499 ( 817 667489 545338513 28 5832119 9-3484731 -001223990 ( 818 669124 547343432 23 6006993 93522857 -001222494 { ; 819 670761 549353259 286181760 9-3560952 •001221001 ( ) 820 672400 551368000 23 6356421 9-3599016 -001219512 ( 821 674041 553387661 28-6530976 9-3637049 -001218027 ( ) 82-2 675684 555412-248 28-6705424 9-3675051 -001216.545 ( ) 82-] 677329 557441767 23 6879716 9-3713022 -001215067 ( ) 824 678976 5594762-24 287054002 9-3750963 ■001213.592 ( ) 825 680625 5615] 5625 287228132 9-3788873 -001212121 S ) 826 682276 563559976 287402157 9-3826752 -0012100.54 ^ ) 827 683929 5()56092S3 237.576077 9-3864600 ■001209190 ( ) 828 685584 567663552 28-7749891 9-3902419 -001207729 ^ -001206-273 { •001204819 ( ) 829 687241 5(59722789 28-7923601 9-394rt2.l6 ) 830 688900 571787000 23-8097206 9-3977964 831 690561 573856191 28 8270706 9-4015691 ■001203309 ( 832 692224 5759.30368 28-8444102 9-40.53387 •001201023 833 693889 578009537 28-8617394 9-4091054 -001200480 ) 834 695556 580093704 28-8790582 9-4128690 -001199041 835 697225 582182875 28-8963666 9-4166297 -001197005 ) 836 698896 584277056 28 9136646 9-4203873 -001190172 \ 837 700569 586376253 28 9309523 9-4241420 -001194743 838 702244 588480472 28-9482297 9-4278936 •001193317 839 703921 590.589719 28 96.54967 9-4316423 •001191395 ) 840 705600 592704000 28 9327535 9-4353800 •001190476 S 841 707281 59482:^21 29-0000000 9-4391307 •001189061 { 842 708964 596947688 290172363 9-4428704 •001187048 S ) 843 ( 844 710649 599077107 290344623 9-4406072 •001186240 ; 712336 601211.584 290516781 94503410 •001184834 ) 845 846 714025 60335112.5 29 0688837 9-4.540719 •001183432 S 715716 60.549.5736 29 0860791 9-4577999 •001182033 ) 847 717409 607645423 291032644 94615249 -0011800.33 ) 848 719104 609800192 29-1204396 9-4(i52470 •001179245 ) 849 720801 611960049 29-1376046 94689661 •001177856 ) 850 722500 61412.5000 29 1547595 9-4726824 •001176471 ) 851 724201 616295051 291719043 9-4763957 -001175088 ) ) 852 725904 618470203 291890390 9-4801061 •001173709 853 727609 620650477 29 2061637 94838136 •001172333 ) ) 854 729316 622835864 29-22.32784 9-4875182 •001170960 S 855 731025 625026375 292403830 94912200 •001169591 { I ^^^ 732736 627222016 29-2574777 9 4949188 ^^0n68224j 232 SaUARES, CUBES, SQUARE AND CUBE ROOTS. J No. Squares. Cubes. Square Roots. Cube Roots. Reciprocals. ; 857 734449 629422793 29-274.5(;23 9-4986147 •001166861 I \ 858 736164 631628712 29-2916370 9-5023078 •001165501 ( ) 859 S 860 737881 633839779 29-3087018 9-5059980 •001164144 ( 739600 636056000 29-3257566 9-5096854 •001162791 ( \ 861 741321 638277381 29-3428015 9-5133699 •001161440 ( 862 743044 640503928 29-3598365 9-5170515 •001160093 \ ) 803 744769 642735647 29-3768616 9-5207303 •001158749 ( { 864 746496 644972544 29-3938769 9-5244063 •0011.57407 ( 865 748225 647214625 29-5108823 9-5280794 •0011.56069 ) 806 749956 649461896 29-4278779 9-5317497 •0011.54734 •0011.53403 / •001152074 i S 867 751689 651714363 29-4448637 9-53.54172 \ 868 753424 653972032 29-4618.397 9-5390818 ) 869 755161 656234909 29-47880.59 9-5427437 •001150748 ■ \ 870 756900 658.503000 29-4957624 9-5464027 •001149425 ( S 871 7.58641 600776311 29-5127091 9-5500589 •001148106 ( S 872 760384 663054848 29-5296461 95537123 •001146789 ( S 873 762129 66.5338617 29-5465734 9-5573630 •00114.5475 / ) 874 763876 667627624 29-56.34910 9-.5610108 •001144165 875 765625 669921875 29-5803989 9-.5646559 •001142857 ( 876 767376 672221376 29-5972972 9-5682782 •001141553 ( 877 769129 674.526133 29-61418.58 9-5719377 •001140251 878 770884 676836152 29-6310648 9-5755745 •0011389.52 I ( 879 772641 679151439 29-6479342 9-5792085 •0011376.56 I •001136364 / ( 880 774400 681472000 29-6647939 9-5828397 { 881 776161 6837978U 29-6816442 9-58()4f)82 •00113.5074 I •00113.3787 / ( 882 777924 686128968 29-6984848 9-.5900937 883 779689 688465387 29-7153159 9-59.37169 -001 132503 / -001131222 / 884 781456 690807104 29-7321375 9-5973373 885 783225 693154125 29-7489496 9-6009548 •0011-29944 / ( 886 784996 695.506456 29-76.57521 9-6045696 -001128668 / 887 786769 697864103 29-7825452 9-6081817 -001127396 / 888 788.544 700227072 29-7993289 9-6117911 -001126126 ) 889 790321 702;595369 29-81()I030 9-(i 1.53977 •0011248.59 / 890 792100 704969000 29-8328C>78 9-6190017 -001123.596 / 891 793881 707347971 29-8496231 9-6226030 •001122334 / ( 892 795664 707932288 29-86()3(i90 9-6262016 •001121076 I ( 893 797449 7121219.57 29-8831056 9-()297975 •001119821 ) ( 894 799236 714516984 29-8998328 9-6333907 •001118.568 ) < 895 801025 716917375 29-916.5.500 9-6369812 -001117818 ) ( 896 802816 719323136 29-9332591 9-6405690 •001116071 ) ( 897 804609 721734273 29-9499.583 9-6441542 •001114827 ( 898 806404 7241.50792 29-9666481 9-6477367 -00111.3.586 ( 899 808201 726572(;99 29-9833287 9-6513166 -001112347 ) ( 900 810000 729000000 30-0000000 9-6.548938 -001111111 ) ( 901 ( 902 811801 731432701 30-0166621 9-6.584684 •001109878 813604 733870808 30-0333148 9-6620403 •001108647 903 81.5409 736314327 30-0499.584 9-6656096 •001107420 ) 904 817216 7387632(14 30-066.5928 9-6691762 •001106195 ) 905 819025 741217625 30-0832179 9-6727403 •001104972 906 820836 743677416 30-0998339 9-6763017 •001103753 ) 907 822649 746142643 30-1164407 9-6798604 •0011025.36 ) 908 824464 748613312 30-1330383 9-6834166 •001101322 909 826281 751089429 30-1496269 9-6869701 •001100110 ( 910 828100 753571000 30-166201)3 9-6905211 •001098901 ( 911 829921 756058031 30-1827765 9-6940694 •001091695 912 831744 758550825 30-1993377 9-6976151 -001096491 ) I 913 833569 761048497 30-21.58899 9-7011.583 -00109.5290 ) ( 914 835396 763551944 30-2.324329 9-7046989 •001094092 ( 915 837225 766060875 30-2489669 9-7082369 •001092896 ) < 916 839056 768575296 30-26.54919 9-7117723 •001091703 ( ( 917 840889 771095213 30-2820079 9-7153051 •001090513 (^8 842724 773620632 30-2985148 9-7188354 -001089325J aUARES, CUBES, S Q A R E AND CUBE ROOTS. 233 No. Squares. Cubes. Square Roots. Cube Roots. Reciprocals. ^ 919 844561 776151559 30-3150128 9-7223631 001088139 ) 920 846400 778688000 30-3315018 9-7258883 001086957 ) 921 848241 781229961 30-3479818 9-7294109 001085776 ) 922 850084 783777448 30-3644529 9-7329309 001084.599 ) 923 851929 786330467 30-3809151 9-7364484 001083423 S 924 853776 788889024 30-3973683 9-7399634 001082251 ) 925 855625 7914.53125 30-4138127 9-7434758 001081081 S 926 857476 794022776 30-4302481 9-7469857 001079914 ) 927 859329 796597983 30-4466747 9-7504930 001078749 ) 9^8 861184 799178752 30-4630924 9-7539979 001077586 \ 929 863041 80176.5089 30-47950 J 3 9-7575002 001076426 S 930 864900 804357000 30-4959014 9-7610001 001075289 S 931 866761 806954491 30-5122926 9-7644974 001074114 ( 932 868624 809557568 30-5286750 9-7679922 001072961 ( 933 870489 812166237 30-5450487 9-7714845 001071811 \ 934 872356 814780504 30-5614136 9-7749743 001070664 ( 935 874225 817400375 30-5777697 9-7784616 001069519 ( 936 876096 820025856 30-5941171 9-7829466 001068376 ( 937 877969 822656953 30-6104557 9-7854288 001067236 ( 938 879844 825293672 30-6267857 9-7889087 001066098 ( 939 881721 827936019 30-6431069 9-7923861 001064963 < 940 883G00 830584000 30-0.594194 9-7958611 001063830 ( 941 885481 833237621 30-6757233 9-7993336 001062699 ( 942 887364 835896888 30-6920185 9-8028036 001061571 ( 943 889249 838561807 30-7083051 9-8002711 001060445 ( 944 891136 841232384 30-7245830 9-8097362 001059322 ( 945 893025 843908625 30-7408523 9-8131989 001058201 ( 946 894916 846590536 30-7571130 9-8166591 001057082 ( 947 896808 849278123 30-7733651 9-8201169 001055966 ( 948 898704 851971392 30-7896086 9-8235723 001054852 ( 949 900601 854670349 30-8058436 9-8270252 001053741 ( 950 902500 857375000 30-8220700 9-8304757 001052632 ( 951 904401 860085351 30-8382879 9-8339238 001051525 ( 952 906304 862801408 30-8544972 9-8373695 001050420 ( 953 908209 865523177 30-8706981 9-8408127 001049318 ( 954 910116 868250664 30-8868904 9-8442536 001048218 ( 955 912025 870983875 30-9030743 9-8476920 001047120 ( 956 913930 873722816 30-9192477 9-8511280 001046025 ( 957 915849 876467493 30-9354166 9-8545617 001044932 ( 958 917764 879217912 30-9515751 9-8579929 001043841 t 959 919681 881974079 30-9677251 9-8614218 001042753 ( 960 921600 884736000 30-9838668 9-8648483 001041667 ( 961- 923521 887503C81 31-0000000 9-8682724 001040583 ( 962 925444 890277128 31-0161248 9-8716941 001039501 ( 963 927369 893056347 31-0322413 9-8751135 001038422 ( 964 929296 895841344 31-0483494 9-8785305 001037344 ( 965 931225 898632125 31-0644491 9-8819451 001036269 ( 966 933156 901428696 31-0805405 S-8853574 001035197 I 967 935089 904231063 31-0966236 9-8887673 001034126 ( 968 937U24 907039232 31-1126984 9-8921749 001033058 ( 969 938961 909853209 31-1287648 9-89.55801 001031992 < 970 940900 912673000 31-1448230 9-8989830 0010311928 / 971 942841 915498611 311608729 9-9023835 001029866 I 972 944784 918330048 31-1769145 9-9057817 001028807 / 973 946729 921167317 31-1929479 9-9091776 001027749 / 974 948676 924010424 31-2089731 9-9125712 001026694 / 975 950625 926859375 31-2249900 9-9159624 001025641 ( 976 952576 929714176 31-2409987 9-9193513 001024590 / 977 9.54529 932574833 31-2569992 9-9227379 001023541 I 978 956484 935441352 31-27299] 5 9-9261222 001022495 I 979 958441 938313739 31-2889757 9-9295042 001021450 ; 980 960400 , 941192000 31-3049517 9-9328839 001020408^ 20^ 234 SQUARES, CUBES, SQUARE AND CUBE ROOTS. No. Squares. Cubes. Square Roots. Cube Roots. Reciprocals. 981 962361 944076141 31-3209195 9-9362613 ■001019168 982 964324 946966168 31-3368792 9-9.396363 -001018330 983 966289 949862087 31-3528308 9-9430092 -001017294 984 968256 952763904 31-3687743 9-9463797 •001016260 985 970225 955671625 31-3847097 9-9497479 -0010152-28 986 972196 958585256 31.4006369 9-9531138 -001014199 987 974169 961504803 31-4165561 9-9564775 -001013171 988 976144 964430272 31-4324673 9-9598389 -001012146 989 978121 967361669 31-4483704 9-9831981 -001011122 990 980100 970299000 31-4642654 9-9665549 -OOIOIOIOI 991 982081 973242271 31-4801525 9-9699055 -001009082 992 984064 976191488 31-4960315 9-9732619 -001008065 993 986049 979146657 31-5119025 9-9766120 •001007049 994 988036 982107784 31-5277655 9-9799599 •001006036 995 990025 985074875 31-5436206 9-9833055 •001005025 996 992016 988047936 31-5594677 9-9866488 •001004016 997 994009 991026973 31-57.53068 9-9399900 •00100.3009 998 996004 994011992 31-5911380 9-9933-289 •001002004 999 998001 997002999 31-6069613 9-9966656 •001001001 J 000 1000000 1000000000 31-6227766 10-0000000 •001000000 JOOI 1000201 1003003001 31-63a5840 10-00332-22 -0009990010 1002 1004004 1006012008 31-6543866 10-0066622 •0009980040 1003 1006009 1009027027 31.6701752 10-0099899 •0009^)70090 1004 1008016 1012048064 31-68.59590 10-0133155 •0009960159 1005 1010025 1015075125 31-7017349 10-0166389 •0009950-249 1006 1010036 1018108216 31-71750.30 100199601 •0009940358 1007 1014049 1021147343 31-7332633 10-02.3-2791 •0009930487 1008 1016064 1024192512 31-749f)l."i7 10-()-2t).-)958 •0009920635 1009 1018081 1027243729 31-7647603 10-029:) 104 •0009910803 1010 1020100 1030301000 31-78(14972 10-033-2-228 •0009900990 1011 1020121 1033364331 31-7962-2()2 10-0365330 •0009891197 1012 1024144 103(>433728 31-8119474 10-0398410 ■0009881423 1013 1026169 1039.509197 31-8276609 10-043J469 •0009871668 1014 1028196 1042590744 31-8433666 100464.506 •0009861933 1015 1030225 1045678375 31-8590()46 100497521 •00098.-)2217 1016 1032256 1048772096 31-8747549 10-0530514 •0009842.520 1017 1034289 1051871913 31-8904374 100563485 •000983-2842 1018 1036324 1054977832 31-9061123 10-059()435 •0009823183 1019 1038361 1058089859 31-9217794 10-0629364 •0009813.543 1020 1040400 10612()80(H) 31-9374388 10-0662271 •0009803922 1021 1042441 1064332261 31-9530906 1006951.56 •0009794319 1022 1044484 10674(i2648 31-9687.347 10-0728020 •0009784736 1023 104(i529 1070599167 31-9843712 1007608()3 •0009775171 1024 1048576 1073741824 32-0000000 10-0793084 •00097()5625 1025 1050625 1076890625 32-01.56212 100826484 •000975(3098 1026 1052676 1080045576 320312348 10-08.59262 •0009746589 1027 1054729 1083206e;83 32-0468407 10-0892019 •0009737098 1028 1056784 1086373952 32-0624391 100924755 •0009727626 1029 1058841 1089547389 .32-0780298 10-0957469 •0009718173 1030 1060900 1092727000 3209.36131 10-0990163 •0009708738 1031 1062961 1095912791 32-1091887 10-1022835 •0009(399321 1032 1065024 10991(14768 32-12475()8 10-1055487 •0009689922 1033 1067089 1102302937 32-1403173 10-1088117 •0009680.542 1034 10()9156 1105507304 32-1558704 10-1120726 •0009671180 1035 1071225 1108717875 321714159 10-11.53314 •0009661836 ( 1036 1073296 1111934656 32-1869539 10-1185882 •00096.52510 ( 1037 1075369 1115157653 32-2024844 10-12184-28 •0009843202 ( 1038 1077444 1118386872 32-2180074 10-1-2509.53 •0()(«)'>33!l 1 1 ( 1039 1079521 1121622319 32 2335-229 10-1283457 -Oi>()'.)t)j-i';:^,' ( 1040 1081600 1124864000 32-2490310 10-131.5941 •00(Jl:i;i5:;.-5 ( 1041 1083681 1128111921 32-2645316 10-134>'403 -000;!(i:i;j4t: { 1042 1085764 1131366088 3-2-2800248 10-1.3SO!-<45 •00!)95'J(>!i-i!> ( TABLE OF CIRCUMFERENCES AND AREAS OF CIRCLES, In Feet and IWis of a foot, or in Inches and IQths of an inch. Diam Circum. Area. D..., Circum. | Area. Diam. Circum. Area. •0 •000 •000 5 -0 15-708 19-635 10 •o 31-416 78-540 •1 •314 •007 •1 16-022 20-428 •1 31-730 80-118 •628 •031 •2 16-336 21-237 -2 32-044 81-713 •3 •942 •070 -3 16-650 22-061 •3 32-358 83-323 •4 1256 •125 •4 16-964 22-902 •4 32-672 84-948 •5 1-571 •196 •5 17-278 23-7.58 •5 32-986 86-590 •6 1-884 •282 •6 17-592 ; 24-630 •6 1 33-300 88-248 •7 2-199 •384 •7 1 17-906 ' 25-517 ■ -1 1 33-614 89-920 •8 2-513 •502 •8 1 18-221 26-420 •8 i 33-929 91-009 •9 2-827 •636 •9 i 18-535 ; 27-339 •9 34-243 93-313 1 -0 3141 •785 6 -0 1 18-849 28-274 11^0 34-557 95-033 •1 3456 •950 -1 19-163 29-224 •1 34-871 96-769 -2 3-769 1^130 -2 19-477 30-190 •2 35-185 98-520 , -3 4^084 1-327 -3 19-792 31-172 •3 35-499 100-287 •4 4^399 1-539 •4 20-106 32-Hi9 -4 35-814 102-070 •5 4-713 1-767 •5 20-420 33183 -5 36-128 103-800 •6 5-027 2-010 •6 20-734 34-212 -6 36-442 105-683 •7 5-341 2-269 -7 21-048 35-256 •7 36-756 107-513 •8 5-655 2-544 -8 21-362 36-316 •8 37-070 109-359 •9 5-969 2-835 •9 21-077 37-412 •9 37-384 111-220 j 2 -0 6-283 3-141 7 -0 21-99] 38-484 12 •O 37-699 113-097 ) -1 6-596 3-4()3 -1 22-305 39-.592 •1 38-013 114-990 ( -2 6-910 3-801 -2 22-619 40-715 •2 38-327 116-898 •3 7-224 4-154 -3 22-933 41-853 • -2. 38-641 118-823 •4 7-538 4-523 -4 23-247 43-008 •4 38-955 120-763 •5 7-853 4-908 -5 23-562 44-178 •5 39-269 122-718 •6 8-167 5-309 -6 23-876 45-364 •6 39-583 124-690 •7 8-481 5-725 -7 24-190 46-566 •7 39-898 120-677 ) -8 8-795 6-157 -8 24-504 47-783 •8 40-212 128-679 ) "^ 9-109 6-605 -9 24-818 49-016 -9 40-520 130-698 J 3 -0 9-424 7-068 8 -0 25-132 50-265 13 -0 40-840 132-732 ) •! 9-737 7-547 •1 25-446 51-.530 -1 41-154 134-782 ) -2 10-051 8-042 -2 25-760 52-810 •2 41-468 136-848 ) -3 10-366 8-553 -3 26-074 54-106 •3 41-782 138-929 ) '4 10-680 9-079 •4 28-388 55-417 •4 42-097 141-026 ) -5 10-994 9-621 •5 26-702 56-745 -5 42-411 143-139 I '^ 11-308 10-178 -6 27-016 58-082 -6 42^725 145-267 ) ''^ 11-622 10-752 -7 27-331 59-446 •7 43-039 147-411 ) -8 11-936 11-341 -8 27-645 00-821 -8 43-353 149-571 ( '^ 12-251 11-945 -9 27-959 62-212 -9 43-667 151-747 ) 4 -0 12-566 12-566 9 -0 28-274 63-617 14 -0 43-982 153-938 / -1 12-880 13-202 •1 28-587 65-038 -1 44-296 l.i6-145 ( '2 13-194 13-854 •2 28-901 66-476 •2 44-610 158-368 -3 13-508 14-522 •3 29-215 67-929 -3 44-924 160-606 ■ "4 13-822 15-205 •4 29-530 69-397 -4 45-238 162-860 ■•5 14-137 15-904 •5 29-844 70-882 •5 45-5.'-.2 165-130 -6 14-451 16-619 •6 30-158 72-387 •6 45-866 167-415 ( "7 14-765 17-349 •7 30-472 73-898 •7 46-180 169-717 I -8 15-079 18-095 •8 30-786 75-429 •8 46-495 172-034 ( -9 15-393 18-857 •9 31-100 76-977 •9 46-809 1 174-366 236 CIRCUMFERENCES AND AREAS OF CIRCLES. Area. 47-124 47-438 47-752 48-066 48-380 48-694 49-008 49-323 49-637 49-951 50-265 5i)-579 50-893 51-207 51-522 51-836 52-150 52-464 5-2-7'(8 53-692 53-407 53-721 54-035 54-349 54-(i63 54-977 55-291 55-606 55-92() 56-234 56-548 56-862 57176 57-490 57-805 53-119 58-433 58-747 59-061 59-375 59-690 60-004 60-318 60-632 (;0-946 61"2(i0 61-574 61-888 62-203 62-517 62-832 63-145 63-459 63-773 64-088 64-402 64-716 65-030 65-344 65-658 176-715 179-079 181-358 183-854 186-265 188-692 191-134 193-593 196-067 198-556 201-062 203-583 206-1-20 2(j8-672 211-241 213-825 216-4-24 2 J 9-040 221-671 224-318 226-980 229658 232-352 235-062 237-787 240-528 243-285 24(5-057 248-846 251-650 254-469 257-324 260- 1 So 263-022 265-905 2(;8-8()3 271-716 274-646 277-591 280 552 283-5-29 286-521 2.-^9-529 292-553 295-593 298-698 301-719 304-805 307-908 311 026 314-160 317-309 3-20-474 3-23-655 326-852 330-064 333-292 336-536 339-795 343-070 Area. 31 -0 -1 •2 •3 •4 •5 22 -0 •9 23 -0 •1 •2 •3 •4 •8 •9 24 -0 •1 •2 •3 •4 -5 •6 •7 -8 •9 25 -0 -1 -2 •3 •4 •5 •6 •8 -9 26 -0 •1 -2 •3 •4 •5 65-793 66-287 66-601 66-915 67-229 67-543 67-857 68-171 68-486 68-800 69-115 G'J-429 t9-743 70-057 70-371 70-686 71-000 71-314 'i 1-629 71-943 72-256 72-570 72-885 73-199 73-513 73-827 74-141 74-455 74-770 75-084 75-398 75-712 76-026 76-340 76-655 76-969 77-284 77-598 77-912 78-226 78-540 78-855 79169 79-483 79-797 80-111 80-425 80-739 81-053 81-367 81-()81 81-995 82-309 82-623 82-937 83-257 83-556 83-880 84-294 84-508 346-361 349-667 352-990 356-328 359-681 363-051 366-435 369-837 373-253 376-(:85 380-133 383-597 387-076 390-571 394-082 397-608 4vl-150 464-708 4U8-2c>2 411-871 415-476 419097 422-733 426-385 4:i0-053 433-737 437-436 441-151 444-881 448-628 452-390 456-l(.8 459-96] 463-770 467-595 471-436 475292 479-164 483-052 486-955 490-875 494-809 498-760 502-726 506-708 510-706 514-719 518-748 522-793 526-854 530-930 535-022 539-129 .543-253 .547-392 551-.547 555-717 559-903 564-105 568-323 Diaiti. Circum. 29 32 84-823 85-137 85-451 85-765 86-079 86-393 86-707 87-021 87-335 87-649 87-964 88-277 88-591 88-905 89-220 89-534 89-848 90-162 90-476 90-790 91-106 91-420 91-7.34 92-048 92-362 92-676 92-990 93-:?05 93-619 93-933 94-248 94-561 94-875 9.5-189 95-504 95818 96-132 96-446 96-760 97-074 97-389 97-703 98-017 98-^31 98-645 98-959 99-273 99-588 99-902 100-216 100-.531 100-844 101-158 101-472 101-787 102-101 102-415 102-729 103-043 103-357 Of a Li TABLE EXHIBITING THE WEIGHT Foot of Square Rolled Iron, in lbs., from ^ to 12 Square Inches. ) Size ill Weight in Size in Weight in Size in Weig-ht in Size in Weight in ' ( iuclies. pouiiils. inches. pounds. inches. pounds. inches. pounds. 1 -1- •211 2i 21-120 4J 76-264 8 216-336 i i •475 23-292 i 80-333 230-0(i8 ( ^ •845 25-560 5 84-480 1 244-220 ( ( 1 1-320 27-939 i 88-784 a 258-800 ( 1-901 3 30-416 1 93-168 9" 273-792 ( 2-588 i 33010 1 97-657 i 289-220 ( ) 1^ 3-380 i 35-704 102-240 ^ 305-056 < i 4-278 38-503 106-953 1 321332 i 5-280 1 41-408 111-756 10 337-920 1 6-390 1 44-418 a 110-671 J. 355136 7-604 ^ 47-534 6 121-664 1 372-072 8-926 i 50-756 i 132-040 3 390-628 1 10-352 4 54-084 h 142-816 11 408-960 ( i 11-883 i 57-517 I 154-012 i 427-812 ( 2 13-520 i 61055 7'' 165-632 i 447-024 ( i 15-263 f 64-700 i 177-672 1 460-684 ( ) i 17-112 t 68-448 JL 1 190-136 12 486-656 ( ) i 19066 72-305 203-024 ( TABLE EXHIBITING THE WEIGHT Of a Lineal Foot of Round Rolled Iron, from \ to 12 Inches Diameter. 16-( 18-293 20-076 21-944 23-888 25.926 28-040 30-240 32-512 34-886 37-332 39-864 42-464 4.5-174 47-952 50-815 53-760 56-788 Diam. in Weight ip inches. pounds. ^ 59-900 I 63-094 5 66-752 i 69-731 I 73-172 f 76-700 80-304 84-001 87-776 X 91-634 6" 95-552 k 103-704 1 112-160 120-900 7 130-048 1 139544 i 149-328 % 159-456 Diam. in inches, Weight in / pounds. ) 169-856 180-696 191-808 203-260 215-040 227-152 239-600 252-376 266-288 278-924 292-688 306-800 321-216 336-004 351-104 366-536 382^208 The weight of bar iron being 1 ; The weight of cast iron = -95 " " steel = 1-02 " " copper =: 1-16 " " brass = 1-09 lead. =. 1-48 TABLE, EXHIBITING THE WEIGHT Of a Lineal Foot of Flat Bar Iron, in lbs., from ^ to Sg inches in breadth, and i to 5 inches in thickness. ^"■^K" Weight in inches. VO^'>ds. 0-2J0 0-422 0-634 0-263 0-528 0-792 1-056 0-313 0-633 0-950 1-265 1-584 0-367 0-738 1-108 1-477 1-846 2-217 0-422 0-835 1-267 1-090 2-112 2-534 2-956 0-475 0-940 1-425 1-901 2-375 2-850 3-326 3-802 0-528 1-056 1-584 2-112 2-640 3-168 3-696 4-224 4-752 0-580 1-161 1-742 2-305 2-904 3-484 4-065 4-646 Thick's inches. Weight ii pounds. 5-227 5-808 0-633 1-266 1-900 2-505 3-168 3-802 4-435 5-069 5-703 6-337 6-970 0-686 1-372 2-059 2-746 3-432 4-119 4-805 5-492 6-178 6-804 7-551 8-237 0-739 1-4.59 2-218 2-9.^7 3-696 4-435 5178 5-914 6-6.5;j 7-393 8-132 8-871 9-610 0-792 1-584 2-376 3-168 3-960 4-752 5-544 6-336 7-129 7-921 8-713 9-505 Breadth Thick's Weight in inches. | inches. pounds. H If 10-297 11-089 2 X 0-845 i 1-669 1 2-534 I 3-379 4-224 i. 5-069 5-914 6-758 li 7-604 If 8-448 9-294 10-138 10-983 ll 11-828 Iff 12-673 2J i 0-898 i 1-795 i 2-693 3-561 4-488 1 5-386 1 i" 6-283 7-181 li 8-079 U 8-977 11 9-874 If 10-772 11-670 ii 12-567 Is 13-465 2 14-332 2i i -950 i 1-900 t 2-851 1 3-802 4-752 5-703 1* 6-0.53 7-.')04 u 8-5.54 u 9-505 Is 10-455 U 11-406 11 12-3.56 1* 13-307 H 14-2.57 2 15-108 .^i ■ 16-158 AR IRON. 6-970 8-132 9-294 10-455 11-(517 12-779 13-940 15-102 16-264 17-425 18-587 19-749 20-910 22-072 23-234 24-395 1-215 2-429 3-644 4-858 6-072 7-287 8-502 9-716 10-931 12-145 13-360 14-574 15-789 17-003 18-218 19-432 20-647 21-861 23-076 24-290 25-505 26-719 1-267 2-535 3-802 5-069 6-337 7-604 871 10-138 11-406 12-673 13-940 15-208 16-475 17-742 19-010 20-277 2-2-811 25-346 27-881 1-373 2-746 4-119 5-492 6-865 •239 Breadth ill 1 Thick's] Weight in < inches. | inches. pounJs. (■ 3i i 8-237 ( 9-610 ' i 10-9H3 li 12-3.56 14- 13-7.30 1^ 15-102 ( U 16-475 ( 1| 17-848 / 13- 19-221 / Jl 20-594 ( 2 21-967 / 2i ^-712 / 2rV 27-458 / 2^ 30-204 / 3^ 32-950 / 3i i 1-479 ) i- 2-957 ) f 4-436 ) h 5-914 ) 5 7-393 ) ^ 8-871 ) - 10-350 ) 11-828 ) n 13-.307 H 14-785 If 16-264 li 17-742 If 19-221 1^ 20-699 is 22-178 2 23-656 ) h 26-613 ) 2h 29-570 ; 21 32-527 ) 3 35-485 ) 3i 38-441 ) 31 f 1-584 ) 3-168 ) 1 4-752 ) 1 6-336 ) 1 7-921 ) 1 9-.505 > 11-089 ) 12-673 ) H 14-257 ) 15-841 1' 17-425 ) li 19-009 ) 20-594 ) 22-178 i3- 23-762 \ 2 25-346 ( 2i 28-514 S 2i 31-682 { 2J 34-851 ( 3 38-019 ) 41-187 3i 3: 44-355 4 1-690 3-380 ^. 6-759 1 10-138 ( 240 FL A1 ^ BAR IRON. ^Breadth Thick's Weight in Breadth Thick's in Weight in Breadth Thick's Weight in \ inches, inches. pounds. inches. inches pounds. inches. inches. pounds. ; 4 1 13-518 4i 34: 49-425 5 , 4i 80-262 l«)-897 1 53-226 54 4 4-436 li 20-277 57-028 k 8-871 1* 23-656 4^ 60-830 1 13-.307 ) o 27-036 H 64-632 1 17-722 30-415 4| i 4-003 U 22-178 ol 33-795 8-026 u 26-613 2^ .37-174 a 12-038 i| 31-049 ( .3 40-5.54 1 16052 2 35-484 3i 43-9.33 H 20066 2i 39-920 { 47-313 U 24-079 2i 44-355 ) 3^ 50-692 n 28-092 2J 48-791 ( 4i i 1-795 2 32-105 3 53-226 ( 3-591 24 36-118 34 57-662 ( ^ 7-181 2i 40-131 3i 62-097 ( ^ 10-772 2* 44-144 H 66-533 ( S 1 14-334 3 48-157 4 70-938 ( \ 1^ 17-953 52-170 4i 75-404 ) li 21-544 3i 56-184 4i 79-839 ) l| 25-135 3^ 60197 4i 84-275 2 28-725 4 64-210 5 88-710 2i 32-316 4i t)8-223 5i 4-647 ( 2A 35-907 4i 72-235 k 9-294 2| 39-497 5 1 4-224 1 13-940 I ) 3 43-088 1 8-449 1 18-.587 I 3i 46-679 12-673 n 23-234 ( 3i 50-269 1 16-867 H . 27-881 I n 53-860 u 21 122 i| 32-.527 ( 4 57-420 li 25-346 2 37-174 4i i 3-802 ll 29-570 24 41-821 I 7-604 2 33-755 2i 46-463 / 1 5 11-406 24 38-019 2i 51-114 I 1 15-208 2i 42-243 3 55-761 / H 19-010 2^ 46-468 34 60-408 / 11 22-812 3 50-602 fi 65-055 I 26-614 34 54-916 69-701 ; > 2 30-415 3i 59-140 4 74-348 ) 2i 34-217 3| 63-365 44 78-995 ) 2i 38-019 4 67-589 Ah 83-642 ) 2| 41-820 44 71-813 41 as-288 ) 3 45-623 4i 76-038 5 92-935 \ Example— Whn.t is the weight of a bar of iron 4^ inches in breadth by 1^ inches thick 1 Find A% in the column of Breadths, and below it, in the column of Thickness, ( find J^ ; and opposite to that is 28092, which is 28 lbs. and _» 1 _ of a lb. ^ns. -The weight of cnst iron being The weight of bar iron=:107 " steel z=V " brass —116 " " copper =:]-2l " " lead =1-56 TABLE THE WEIGHT OF A LINEAL FOOT OF CAST IRON PIPES, In lbs., from 1 inch to 30 inches Bore. Borf. Thickness. Weight. Bore. Thickness. Weight. Bcre. INCH. Thickness. Wei-ht. INCH. INCHES. POUNDS. INCH. INCHES. POUNDS- INCHES. POUNDS. [ 1 i 306 6 31-82 11 71-19 ' f 505 1 40-56 3 86-40 u i 3-67 a 49-60 I- 101-83 f 6- 58-96 1 117-60 Id- f 6-89 6i 34-32 "i 58-82 i 9-80 43-08 74-28 1^ f 7-80 ^ 53.30 90-06 ■ 11-04 8 63-18 1 106- J 4 ■ 2 8-74 7 .1 36-66 1 122-62 • 12-23 1 46-80 12 i 61-26 ) 77-.36 2:^ ^ 9-65 J 56-96 r ^ 13-48 ■« 67-60 93-70 S 2^- f 10-57 78-39 110-48 '. 1 14-66 7* ^ 39-22 1^ 127-42 ) 19-05 1 49-92 12J i 63-70 ) •2i 1 11-54 1 60-48 j 80-40 ) 15-91 71-76 97-40 { 114-72 ) 8 20-.59 l' 83-28 I 3 - 12-28 8 1 41-64 1 132-35 17-15 52-68 13 06-14 '. 83-46 ) 22-15 3. 64-27 1 27-56 i 76-12 a 101-08 118-97 S 137-28 H ' 18-40 l" 88-20 1 23-72 8i 1 44-11 1 29-64 56-16 13i i 68-(>4 ) 86-.55 S 104-76 ^ 19-66 1 68- 1 25-27 i 80-50 a 31-20 1 93-28 1 123-30 < n 20-90 9 46-50 1 142-16 ^ 26-83 1 58-92 14 ^ 71-07 ) 89-61 ( 108-46 ( 127-60 { 33-07 J 71-70 1 4 2205 7. 84-70 a 28-28 l' 97-98 i I 34-94 9k i 48-98 1 147-03 S H 23-35 " 1 62-02 14^ 73-72 \ 29-85 ^ 75-32 92-60 112-10 ( 36-73 T 88-98 3 ^ i 24-49 1 102-90 L 131-86 < 1 31-40 10 i 51-46 1* 151-92 J 38-58 1 1 65-08 15 75-96 ( 95-72 [ n i 25-70 1 78-99 1 i 32-91 i 93-24 I. 115-78 ^ , 40-43 1 108-84 136-15 < 1.56-82 ( 78-40 ( 5 26-94 m 5 53-88 I 34-34 68-14 15i A ; 42-28 82-68 1 98-78 ( H 29-40 t 97-44 i 119-48 { 1 37-44 1 112-68 1 140-40 ( _-^ ^, --.--J.,-^ 45-94 3^^^^^S 56-34 ! ^_^._ ^J™ 161-82 J 21 242 WEIGHT OP PIPEl Bore. Thick INCH. ') 16 / 16^ 17^ |,a Weight. POUNDS, 80-87 101-82 123-14 144-76 166-60 83-30 104-82 126-79 14902 171-60 85-73 107-96 130-48 153-30 176-58 88-23 111-06 134-16 157-.19 181-33 11410 137-84 161-90 Bore. Thickness. Weight INCH. 18 19 22 24 INCHES. 1 FOUNDS. 186-24 120-24 145-20 170-47 195-92 126-33 152-53 179-02 205-80 132-50 159-84 187-60 215-52 138-60 167-24 196-46 225-38 144-77 174-62 204-78 235-28 150-85 181-92 Bore, Thickness. Weight. INCH. 24 25 26 27 28 29 30 INCHES. i 1 TABLE, EXHIBITING THE WEIGHT MALLEABLE IRON, COPPER, AND LEAD PIPES, 12 inches long; of various thicknesses, and any diameter required. Thickness. Malleable Iron. IN. 3^ •104 ^ •208 3^2 •3108 1 , •414 jandgL •518 land A •621 land 3^ •725 i__^ •828 121 •2419 •3628 •4838 •6047 •7258 TABLE, SHOWING THE WEIGHT Of Solid Cylinders of Cast Iron, 12 inches long; in Avoirdupois pounds. Inches Weijht in Diain. J -394 1-897 2-478 3-137 3-873 4-686 5-577 6-545 7-591 8-714 9-915 11193 12-548 13-981 WeifflU in Inches lbs. Diam. 15-492 4i 17080 4$ 18-745 5 20-488 5i 22-308 24-206 5i 26-181 6 28-234 6i 30-364 32-572 64: 34-857 7 37 219 n 39-660 n 44-771 n Weight in Inches lUs. Diam. 50-193 8 55-926 8i 61-968 9 68-319 9^ 74-981 10 81-925 lOi 89-234 11 96-825 Hi 104-726 12 112-936 13 121-457 14 130-287 15 139-428 16 148-878 Weight in lbs. 158-638 179-087 200-774 223-704 247-872 273-278 299-925 327-811 356-935 418-903 485-830 557-712 634-552 Note. — Cubic inches of cast iron X "263 = lbs. avoirdupois Circular inches of cast iron X "2065 = lbs. avoirdupois TABLE, SHOWING THE CAPACITY AND WEIGHT Of Cast Iron and Lead Balls, from 1 inch to 8A diameter. ) Inches Capacity in Cast Iron. Lead. Inches Capacity in Cast Iron. Lead. ( ) ^'^'"'• cubic inches. lbs. lbs. Diam. cubic inches. lbs. lbs. / } 1 •523 •136 •215 5 65-450 17-063 26-843 ( / ■»* 1-767 •461 -725 5i 87-114 22-721 35-729 ( ( 2 1-189 1-092 1-718 6 113-097 29-484 46-385 ( ) 2i 8-181 2-133 3-355 6i 143-793 37-453 58-976 ( 3 14-137 3-685 5-798 7 179-594 46-820 73-659 ( / -^ 22-449 5-852 9-207 ''k 220-893 57-587 90-598 ( ) 4 33-510 8-736 13-744 8 268-082 69-889 109.552 ( I H 47-713 12-439 19-569 8i 321-555 83-840 131-883 ( TABLE, SHOWING THE NUMMR OF NAILS AND SPIKES TO THE POUND OF VARIOUS SIZES, As manufactured at the Troy Iron and JVail Factory, JV. Y. I si^Trf'"^ Number Boat Diameter No. Spikes Ship Diameter No. Spikes ) ; Nails. to the lb. Spikes. of Rod. to the lb. Spikes. of Rod. to the lb. ( ( 3 penny 600 No. 4 i 13 No. 4 1% 8 ! ) 4 u 360 " 5 h 8 " 5 6 S ( 6 " 200 " 6 i 5 " 6 1 5 ) iS :: 110 » 7 f 4 " 7 i 3i ) 88 " 8 f 3 is :: 68 " 9 i 2 ) 40 ^^^^^_^,^ " 10 ^M - . ..:JiJ TABLE PRACTICAL FORMULA, By which to determine the Amount of Weight a Column of given dimensions will support in lbs. For a rectangular column of cast iron, . . W = For a rectangular column of malleable iron, W = For a rectangular column of oak, ... VV = For a solid cylinder of cast iron, . . . , W = For a solid cylinder of malleable iron, . . W = For a solid cylinder of oak, W = 15300 I &3 4 62-1- -18 /2- 17800 I »3 4 62 + -16 /2' 3960 I b^ 4 62+-5 12' 9562 rf4 4d2-|--18/3* 11125 . Proceed in like manner, setting oflf D at each station. Having completed the curve, produce the last chord 100 feet, and set oflf E. The point thus obtained, and the end of the curve, form the line of the tangent, Havi'Hg completed a curve as above, if yon do not arrive at the destined point, measure the variation, v, and divide it among the stations in proportion to the square of the distance from the point of commencement. To find what difference of direction will be obtained for the tangent by making the offset of the above-mentioned variation, v, divide twice the variation by the number of stations. Ti>e quotient ^, is the difference of direction for one station. In running a curve for laying of track upon a finished grading, if, both ends being adjusted, the curve varies at intermediate points from the grading, measure the variation V, at the point g, where it is greatest, or assume some quantity v, that shall be a judi cious average of variations. In making the change, it will not be proper to occupy less than 4 stations on each side of the pointy, making 8 stations in all. If 8 stations are occupied, set off" on each side of ^, at the 3d station therefrom, -^ v ; then, proceed- ing towards^, set off" successively at the stations, ^. ^, |, v. If 12 stations are to be occupied, set oft" at 5 stations from g, j^ v ; then successively toward g, y^, ^ f, y^. T?i T? ^" These fractions can always be obtained as follows: Decide upon some even number of stations to be used on each side of g. The denominator is -q the square of the number Ji, of stations on one side of^, and the numerators are found by 348 LAYING OUT CURVES. deducting from the denominators successively the square numbers 1, 4, 9, 16, 25, &c., lill the remainder is a perfect square, which will be one-half the denominators, and consequently the square of ^ 7t. It will also be arrived at in J n from g. Thus, if 14 be decided upon as the number of stations on each side g, 98 will be the denominator, and I lie numerators will be, successively, 98, 97, 94, 89, 82, 73, 62, 49. This last number is ' the denominator, and 7 stations from g. It is likewise 7-. The remaining numera- tors are, inversely, the succession of square numbers previously deducted from the num- rutors. Thus, continuing the above example from 49, we have 36, 25, 16, 9, 4, 1. if necessary, the numerator may be preserved equal to the denominator on either side i»f o-, for an indefinite period iiefore diminishing. For distances not exceeding 20° in length on curves, the offsets from a tangent are (sufficiently near for practice) in proportion to the squares of the distances from the commencement. It is proper in laying out a curve by this rule to measure the distances, both on the curve and on the tangent. For approximation in the field, this rule is valuable for a distance of 40°; after which it is rather unsafe, and for 90° absolutely useless. It will he found serviceable for calculating vertical curves in a profile of grades, measuring the angle of the two i)lane3, as of the lines in horizontal curves. The calculation by this rule always exceeds the true offset. The excess for 20^ on a 1° curve (radius 5730), is I- 14 feet; for SO^, 586 feet; for 60°, 94 feet; and for 90°, 490 feet. For lO^*, the nariation is scarcely perceptible. To obtain ordinates from a chord, observe the tliree following rules: J. The deflection D for chords is in proportion to the square of their lengths. 2. The ordinate at the middle of a chord is always g 3. .Vll the ordinatos of a chord are in proportion to the rectangle of the tsvo parts into which they divide the chord. Thus, divide the chord into 10 parts, equal ; the middle ordinate will be expressed by 5x5 = 25; and the others will be successively expressed by 4X6=5M; 3X7 = 21; 2X8=16; and 1x9 = 9- Where R is 5000, and the chord 100, D is 2, or '^^— *>, and the middle ordinate is 25 : the ptliers are 24, 21, 16, and -09, on each side the centre. In the cut, the chord .■? C is divided into four equal parts: the middle ordinate, y, is expressed by 2 X 2 = 4, and x and z are expressed by 1 X3 = 3; and x z are therefore pftch J of y. The 1st and 2d of these rules will be found uaeM for springing rails of any length, or any radius of curvature. Thus, for 100 feet chord, the middle ordinate is -25; for an 18 feet rail, the middle ordinate: 25 as 18x1 8 = -324; 100x100=10000; or .H:}04 -0324 X 25 = -0081 feet ; or -0972 inch, or for practice jq inch. The difference in length, between the inner and the outer rail, may be determined rt.v follows: Where R is radius, C the length of the inner rail, and fV the width of (lie track, the difference is ^1' Where 5 feet is the width, ll? is the difference for 100 loet, and -^^ is the length required to gain 3 inches. This formula will be found convenient for distributing overlength iron for curves. TABLE FOR ASCERTAINING THE SUPERFICIAL QUANTITY OF LAND For Railroads and Canals. 250 AMOUNT OF WAGES EXEMPLIFICATION OF THE TABLE For ascertaining the quantity of Land necessary for the formation of a Railway, Canal, or Road. Jlule, — Add together any two adjacent heights or depths of cuttings ; multip'y the same by the ratios of the slopes in the cuttings or embankments ; add to this product the width of the cutting at bottom or embanitment at top, and look for the sum in the side columns in the table; take out the corresponding tabular number, which number, multiplied by the length in feet, between the heights, will give the acres and decimal parts of an acre tliat will be required for the given cutting. Example. — Required the superficial quantity of land for a railroad of the following dimensions : HeiS\'2 wS d where a = area. • ""- -r^\~dr) T INCLINED PLANE! 257 Having the angle at A, the side A B, and the side B D, given, to pass a curve through the point at D, and tangent to A H and A E. Find the lines G C, B C, and DC. Then ^ G C X DC = EC, and EC + BC + A B=r Tangent A E, from which Radius O A may readily be obtained. TABLE INCLINED PLANES, Showing the Ascent or Descent per yard, and the corresponding Ascent or Descent per chain, per mile ; and also the Ratio. \ Per yard. Pr. ch'n. Pr. mile. Ratio. Per yard. Per chain. Per mile. Ra. < > In parts of In decls. In pans of Id decls. One) ( an inch. of an ill. Inches. Feet. One in an inch. of an in. Inches. Feet. in ) 82 { l-64th •0156 •344 2-29 2304 7 16ths -4375 9-625 64-17 l-48th •0208 •458 3-06 1728 5-lOths -5 11 73-33 72 l-32d •0312 •687 4-58 1152 9-16ths •5625 12-375 82-5 64 \ ]-24th •0417 •917 6-11 864 7-12ths •5833 12-833 85-56 62 i l-16th •0625 1-375 9-17 576 3-5ths •6 13-2 88 60 , ]-12th •0833 1833 12-22 432 5-8ths •625 13-75 91-67 58 1-lOth •1 2-2 14-67 360 2-3d3 •6667 14-667 97-78 54 l-8th •125 2-75 18-33 288 ll-16ths •6875 15125 100-83 .52 , l-6th •1667 3-667 24-44 216 7-lOths •7 15-4 102-67 51 H-ieths •1875 4125 27^50 192 3-4ths •75 16-5 110 48 loth •2 4-4 2933 180 4-5ths •8 17-6 117-33 45 l-4th •25 5-5 36-67 144 13-16ths •8125 17-875 119-17 44 ' ."J-lOths ) .vieths l-3d ) .3-8ths •3 6-6 44 120 5-6ths •8333 18-333 122-22 43 ) •3125 6-875 45-83 115 7-8ths •875 19-25 128-33 41 ) •3333 7-333 48-89 108 9-lOths •9 19-8 132 40 ) •375 8-25 55 96 ll-12ths •9167 20-167 134-44 39 ) 2-5ths •4 8-8 58-67 20 15-16ths -9375 20-625 137-5 38 ) ') .'>-12ths •4167 9-167 61-11 86 1 inch. 1 in. 22 146-67 36} 22* 258 LONGITUDE IN TIME. (~ Seconds gained Adilitional lengflh Seconds gained bv a clock Additional lengfh ( Latitude. bv a clock required to correct Latitude. required to correc / per day. the error in inches. •per day. 134-0 the error in inches 50 1-7 00016 50^ 01212 10 6-9 00002 55 150-2 oi:«6 ( 20 26-7 00246 60 ni-2 01549 :w 571 00516 75 2130 0-1927 45 1141 01033 90 ':28--i 0-2065 A pendulum, keeping mean time at the eqnntor, will so faster as the degrees of latitude increase, as exhibited in the above toble. See Table, page 23. TABLE EXHIBITING THE EXPERIMENTAL STRENGTH Of various species of Timber opposed to a transverse strain. Kinds of Wood, Oak, English, young tree Do. old ship timber . . Do. from old tree . . Do. medium quality . . Do. green Do. do Beech, medium quality Alder Plane tree Sycamore Chestnut tree .... Ash, fnmi young tree Do. medium quality Ash Elm, common .... Do. wych, green . . . Acacia, green .... Mahogany, Spanish, dry Do. Honduras, seasoned Walnut, green ... . Teak Willow Birch Cedar of Libanus, dry . Riga fir Memel fir Norway fir fm. Longsound Mar forest fir .... Scotch fir, Eng. growth Do. do Christiana white deal . American white spruce . Spruce fir, British growth American pine, Weymouth Larch, choice specimen Do. medium quality . . Do. very young wood . English "oak Canadian, do Dflntzic, do Adriatic, do Ash Beech Pitch pine .... Red pine .... New England fir . . 863 872 62.5 748 763 063 690 555 648 590 875 811 190 53 544 63 820 852 256 925 744 405 720 586 480 553 639 715 529 460 512 465 555 460 040 622 396 934 872 756 993 60 2- 2-5 2- 2-5 2-0 11-75 2.5 2-5 2-5 2-5 25 2-5 2-5 2-5 2-5 2-5 2-5 2-5 2-5 2-5 1-87 1-5 1- 3-2 2-38 482 264 218 284 219 24812 271 212 243 214 180 324 254 314 216 192 249 170 255 195 4-00 820 3- 146 207 2-75 165 1-3 212 1-15 218 1-125 396 5-5 360 1-75 233 157 •937 343 1-362 285 186 1-125 329 3-0 253 223 1-78 129 8-1 637 6-0 673 4-86 560 5-73 526 8-92 772 5-73 593 6-00 622 5-83 51l! 4-66 420' 2892 1980 Tredgold. do. 130? do. 2130 Ebbels. 1741 do. 1785 Buffon. 2031 Ebbels. 1590 do. 1821 do. 1605 do. 1350 do. 2430 1905 Tredgold. Ebbels. 2355 1620 Tredgold. Ebbels. 1440 do. 1866 do. 1275 1911 Tredgold. do. 1461 Ebbels. 2151 Barlow. 1095 Tredgold. 1551 Ebbels. 1236 Tredgold. 1590 do. 1635 do. 2376 do. 945 ► Barlow. 1746 1176 Tredgold. Ebbels. 2058 1710 Tredgold. do. 1395 Ebbels. 1974 1896 Tredgold. do. 1671 do. 966 1 do. 1672 i Barlow. 1766' do. 14.57 do. 1383 do. 2026 do. 15.16 do. 1032 do. 1341 do. 1102 do. TABLE OF THE RELATIVE WEIGHT AND STRENGTH OF ROPES AND CHAINS. I ^ o ^ ) ^3 3 =■ ) "§3 -1 ) _ ^ s. ? ( =5 2r ?■ ( " E. \ a = = = lbs. inches. lb8. •M IF a^ i} f 8 ) ^ 5} A 10^ ) 55 < i 14 ( 6.V 95 9 T6 18 \l m i 22 i.i u 27 ) n 19 i 32 '>^K 21 }?■ 37 1 S 2 "A 5' o •§1 = i' • 1 I 1 5 -■ G i tons. cwis. inches. lbs. iiiclies. lbs. 1 5i 10 23 i 43 I m lOi 28 u 49 2 10 Hi 30i 1 56 3 5i m 36 ItV 63 4 3i 13 39 H 71 5 2 135 45 h\ 79 6 4i 141 48i H 87 7 7 15i 56 ifV 96 8 13i IG 60 11 106 tons. cwts. TABLE EXPERIMENTS ON THE STIFFNESS OF DIFFERENT WOODS. s f ^ r '! 1 1 nl }J I Kinds of Wood. 3 =■ H' =■ 2 = =i 1? Authorities. \ 1 S- f =• g. =! ^ 0:? f ) • r •~ '"^ n Z. . <^3 ( ) .Ash, yoiin-r tree, white, ^ Do. old tree, red, . f Do. medium quality, ) Ash, ) Beech ) Teak ) Elm, j •811 25 1 1 05 141 •009 Tredgold. ) •753 2-5 1 1 0-5 113 •0113 do. ) •690 2-5 1 1 0^5 78-5 •0163 Ebbels. ) •7(k) .7 2 2 1-27 225 •0105 Barlow. / •688 •7 2 2 1025 1.50 •01277 do. ) •744 •7 2 2 1-276 300 •0076 do. •.WO •2-5 2 2 1-42 125 •0212 do. ) •544 2-5 0-5 99^5 •01-28 Ebbels. ) ( Cedar of Eehanon, . . •480 25 0-5 36 •0355 Tredgold. > S Maple, common . . •625 2-5 0-5 65 •0197 do. < Abele •511 2-5 0-5 84 •0152 do. ) Willow •405 2-5 9"5 41 •031 do. ) ) Horse chestnut, . . . •48:? 2-5 (J-5 79 •0162 do. ) ^ Lime tree, .... •483 2-5 0-5 84 •01.52 do. ) * Walnut, green . . . •9-20 25 05 62 •020 Ebbels. ) ' Chestnut, Spanish . . •895 2-5 0^5 68-5 •0187 do., ) ' Acacia, •820 2-5 0-5 125 •0102 do. ; ( Plane, dry, .... •648 25 0-5 99-5 •0128 do. ) < Alder, do •555 2-5 0-5 80-5 •0159 do. ) ( Birch, do •720 25 0-5 90^5 •0141 do. ) ( AVych elm, ?reen, . . •763 2-5 0-5 92 •014 do. ) ( Lombardy poplar, dry. •374 2" 5 0-5 56-5 •0-224 do. ) ( Maho ( Pear, },'reen, . . . ( Cherry, do •792 2-5 0-5 59^5 •0215 do. ) •690 25 0-5 92-5 •0138 do. ( Beech, dry, .... •696 2-5 0-5 975 •0131 _1- _J TABLE THE WEIGHT, TN LBS. Of a foot in length of Cast Iron. Sicieoflhe square or Square. Hex'on. Oct'g-on. Circle, iliarnei inches. h ! ll 2 2i 24 2i 3 3i 3| 4 ^ ? 61 •781 •675 •650 •612 1-756 1-528 1-471 1-387 3125 2-702 2-603 2-454 4-881 4-225 4-065 3-854 7-031 6-085 5-856 5-521 9-568 8-281 7-971 7-515 12-520 10-815 10-412 9-815 15-818 13-99C 13-168 12^425 19-531 16-900 16-258 15-337 23-631 20-450 19-671 18-559 28-125 24-340 23-412 22-087 33-009 28-565 27-475 25-921 38-281 33-131 31-818 30-065 43-943 38-031 36-581 31-512 50-000 43-271 41-621 39-268 56-443 48-353 46-990 44-331 63-281 54-768 .52-681 49-700 70-506 61021 58-696 55375 78-125 67-515 65-040 61-359 86-131 74-549 81-815 71-701 67-709 94-531 78-696 74-243 103-318 89-421 86-015 81-126 112-500 97-368 93-656 88-354 122-058 105-640 101-621 95-871 Side of the, square or Square, j Hex'on. Oct'gon. Circle. diameter. n 8 8i »k Si 9 9i 94 n 10 lOi hU 10| 11 Hi 111 Hi 12 il32-03l!ll4-271 : 142-381 i 123-231 ai>3-125jl32-528 il6]-256!l42-162 j 175-781 152-037 1187-693 200-000 212-693 '22.5-781 1239-2.50 253-125 266-781 282-031 296-968 312-500 328-318 344.531 351-131 378-125 393-216 410-281 429023 450-000 162-449 173-099 184-087 195-412 207-078 219078 231-418 244-100 257105 70-471 284-159 298-193 312-559 327-268 342-315 357-693 373-325 475 109-948 118-.5.34 127-478 136-743 146-3.37 156-259 166-503 177-071 187-365 199-127 210-721 222-600 234-793 247-315 260-163 273-341 286-828 300-646 314-796 329-268 344-06? 359-187 374-631 063 324 103-696 111-825 120-372 128-986 138-056 147-415 157-078 167-049 177-328 187-912 199-203 210-800 221-506 233-318 245-437 257-8.59 270-593 283-633 296-978 310-631 / 587 ) 338-856 ) 353-428 ; TABLE OF THE WEIGHT OF A CUBIC FOOT OF VARIOUS SUBSTANCES, In common use for Building: lbs. Sand (solid) 112-5 " (loose) 95 Enrth 93-75 Common soil 124 Strong soil 127 Clay 120 to Clay and stone 158 Brick 119 Granite 169 Marble J66to Sand, 1 cnbic yard 3037 Common soil, 1 cubic vard, 3429 135 I SCANTLING AND TIMBER ACCURATELY REDUCED TO INCH BOARD MEASURE. > "3 by 9. ) 4 1 2-3 3 by 10. 3 by 11. 3 by 13. 4 by 4. 1 4b75r^ ^ 1 2-6 ^•1 2-9 JS 1 3- £l 1-4 £l 1-8 ( "=2 4-6 ^2 5- W|i> 5-6 MiO 6- ^,■2 2-8 |2 3-4 (^■i 6-9 ^3 7-6 J3 8-3 J3 9- ^3 4- ^3 5- ( 4 9- 4 10- 4 11- 4 12- 4 5-4 4 6-8 ( •> 11-3 5 12-6 5 13-9 5 15- 5 6-8 5 8-4 « 136 6 lo- 6 16-6 6 18- 6 8- 10- 7 15-9 7 ne 7 19-3 7 21- 7 9-4 7 11-8 8 18- 8 20- 8 22- 8 24- 8 10-8 8 134 ) 9 20-3 9 22'6 9 24-9 9 27- 9 12- 9 15- 10 22-6 10 25- 10 27-6 10 30- 10 13-4 10 10-8 ) 11 24-9 11- 27-6 11 303 11 33- 11 14-8 11 18-4 ) 12 27- 12 30- 12 33- 12 36- 12 16- 12 20- > 13 29-3 13 32-6 13 35-9 13 39- 13 17-4 13 21-8 > 14 31-6 14 35- 14 38-6 14 42- 14 18-8 14 23-4 ) 15 33-9 15 37-6 15 41-3 15 45- 15 20- 15 25- ) Ifi 36- 16 40- 16 44- 16 48- 16 21-4 16 20-8 ) 17 38-3 17 42-6 17 46-9 17 51- 17 22-8 17 28-4 18 40-G 18 45- 18 49-6 18 54- 18 24- 18 30- 19 42-9 19 47-6 19 52-3 19 57' 19 25-4 19 31-8 20 45- 20 50- 20 55- 20 GO- 20 26-8 20 33-4 21 47-3 21 52-6 21 57-9 21 OS- 21 28- 21 35- 22 496 22 55- 22 606 22 66- 22 29-4 22 36-8 ) 23 51-9 23 57-6 23 63-3 23 69- 23 30-8 23 38-4 ) 24 54- 24 60- 24 66- 24 72- 24 32- 24 40- ) 23 56-3 25 62-6 25 68-9 25 75- 25 33-4 25 41-8 ) 26 58-(j 26 65- 26 710 26 78- 26 34-8 20 43-4 ) 27 60-9 27 67-6 27 74-3 27 81- 27 36- 27 45- ) 28 63- 28 70- 28 77- 28 84- 28 37-4 28 40-8 ) 29 G5-3 29 72-6 29 79-9 29 87- 29 38-8 29 48-4 ) 30 67 (i 30 75- 30 82-6 30 90- 30 40- 30 so- 4 by 6. 4 b y7- 4 b V 8. 4 by 9. 1 4bv 10. 4 by il. I ^ I 2- -d 1 2-4 -1 2-8 ^1 3- ^1 3-4 ^ 1 3-8 |,o 4- ^2 4-8 wo 5-4 ^2 0- E«2 6-8 |''2 7-4 ^3 6- ^3 7- J3 8- ^3 9- ^3 10- j3 11- 4 8- 4 9-4 4 10-8 4 12- 4 13-4 4 14-8 ) 5 10- 5 11-8 5 13-4 5 15- 5 lG-8 5 18-4 ) 6 12- 6 14- 6 10- 6 18- 6 20- 6 22- ) 7 14- 7 16-4 7 18-8 7 21- 7 23-4 7 25-8 ) 8 16- 8 18-8 8 21-4 8 24- 8 20-8 8 29-4 ) 9 18- 9 21- 9 24- 9 27- 9 30- 9 33- ) 10 20- 10 23-4 10 26-8 10 30- 10 33-4 10 3G-8 \ 11 22- 11 25-8 11 29-4 11 33- 11 36-8 11 40-4 ) 12 24- 12 28- 12 32- 12 30- 12 40- 12 44- 13 26- 13 30-4 13 34-8 13 39- 13 43-4 13 47-8 ) 14 28- 14 32-8 14 37-4 14 42- 14 46-8 14 51-4 15 30- 15 35- 15 40- 15 45- 15 50- 15 55- Hi 32- 16 37-4 16 42-8 16 48- 16 53-4 10 58-8 17 34- 17 39-8 17 45-4 17 51- 17 50-8 17 02-4 18 36- 18 42- 18 48- 18 54- 18 60- 18 00' 19 38- 19 44-4 19 50-8 19 57- 19 03-4 19 09-8 20 40- 20 46-8 20 53-4 20 00- 20 60-8 20 73-4 S 21 42- 21 49- 21 56- 21 63- 21 70- 21 77- 22 44- 22 51-4 22 58-8 22 66- 22 73-4 22 80-8 23 46- 23 53-8 23 614 23 69- 23 76-8 23 84-4 24 48- 24 56- 24 64- 24 72- 24 80- 24 88- 2.) fiO- 25 58-4 25 m-8 25 75- 25 83-4 25 91-8 20 52- 26 60-8 26 69-4 26 78- 26 80-8 26 95-4 ) 27 54- 27 ()3- 27 72' 27 81- 27 90- 27 99- S 28 56- 28 65-4 28 74-8 28 84- 28 93-4 28 102-8 S 29 58- 29 67-8 29 77-4 29 87- 29 90-8 29 106-4 S 30 60- 30 70- 30 80- 30 90- 30 100- 30 1100 ( SCANTLING AND TIMBER MEASURE. 263 13. 4- sl^yS- ^^5^by 6. 5 by 7. 1 5 by ST^ 5 b ^9:^ -£l 2-1 4 1 2-6 4i 2-11 5I 3-4 ■d 1 3-9 ) l-a 8- ^2 4-2 y>2 5- |"2 5-10 ^'■2 6-8 ^2 7-6 i3 12- 43 6-3 ^3 7-6 43 8-9 ^3 10- ^3 11-3 ) 4 16- 4 8-4 4 10- 4 11-8 4 13-4 4 15- 5 20- 5 10-5 5 12-6 5 14-7 5 16-8 5 18-9 ( 6 24- 6 12-6 6 15- 6 17-6 6 20- 6 22-6 7 28- 7 14-7 7 17-6 7 20-5 7 23-4 7 26-3 ( 8 32- 8 16-8 8 20- 8 23-4 8 26-8 8 30- ( 9 36- 9 18-9 9 22-6 9 26-3 9 30- 9 33-9 ( 10 40- 10 2010 10 25- 10 29-2 10 33-4 10 37-6 f. 11 44. 11 22-11 11 27-6 11 32-1 11 36-8 11 41-3 12 48- 12 25- 12 30- 12 35- 12 40- 12 45- 13 52- 13 271 13 32-6 13 3711 13 43-4 13 48-9 14 56- 14 29-2 14 35- 14 40-10 14 46-8 14 52-6 15 60- 15 31-3 15 37-6 15 43-9 15 50- 15 56-3 16 64- 16 33-4 16 40- 16 46-8 16 53-4 16 60- 17 68- 17 35-5 17 42-6 17 49-7 17 56-8 17 63-9 ( 18 72- 18 37-6 18 45- 18 52-6 18 ■60- 18, 67-6 ( 71-3 / 19 76- 19 39-7 19 47-6 19 55-5 19 63-4 19 20 80- 20 41-8 20 50- 20 58-4 20 66-8 20 75- 21 84- 21 43-9 21 52-6 21 61-3 21 70- 21 78-9 22 88- 22 45- 10 22 55- 22 64-2 22 73-4 22 82-6 23 92- 23 4711 23 57-6 23 67-1 23 76-8 23 86-3 1 24 96- 24 50- 24 60- 24 70- 24 80- 24 90- ( 25 100- 25 52-1 25 62-6 25 72-11 25 83-4 25 93-9 / 26 104- 26 54-2 26 65- 26 75-10 26 86-8 26 97-6 / 27 108- 27 56-3 27 67-6 07 78-9 27 90- 27 101-3 • 28 112- 28 58-4 28 70- 28 81-8 28 93-4 28 105- ' 29 116- 29 60-5 29 72-6 29 84-7 29 96-8 29 108-9 ; 30 120- 30 62-6 30 75- 30 87-6 30 100- 30 112-6 ^ 1 4-2 y,2 8-4 .^3 12-6 4 16-8 5 20-10 6 25- 29-2 8 33-4 9 37-6 10 41-8 11 45-10 12 50- 13 54-2 14 58-4 15 62-6 16 66-8 17 70-10 18 75- 19 79-2 20 83-4 21 87-6 22 91-8 23 95-10 24 100- 25 104-2 26 108-4 27 112-6 28 116-8 29 120-10 30 125- 6 by 6. ^ 1 3 i"2 6 ^3 9 4 12 5 15 6 18 7 21- 8 24- 9 27- 10 30- 11 33- 12 36- 13 39- 14 42- 15 45- 16 48- 17 51- 18 54- 19 57- 20 60- 21 63- 22 66- 23 69- 24 72- 25 75- 26 78- 27 81- 28 84- 29 87- 30 90- 6byy. ^•1 5^2 J3 4 5 3-6 7- 10-6 14- 17-6 21- 24-6 28- 31-6 35- 38-6 42- 45-6 49- 52-6 56- 59-6 63- 66-6 70- 73-6 77- 80-6 84- 87-6 91- 94-6 98- 101-6 105- 6 by 8. 1 ^1 4- y'2 8- j3 12- 4 16- d 20- 6 24- 7 28- 8 32- 9 36- 10 40- 11 44- 12 48- 13 52- 14 56- 15 60- 16 64- 17 68- 18 7-2- 19 76- 20 80- 21 84- 22 88- 23 92- 24 96- 25 100- 26 104- 27 108- 28 112- 29 116- 30 120- 7 by 7. ^ 1 "2 J3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 ! 106-2 27 1 110-3 28 ; 114-4 29 1 118-5 30 1 122-6 4-1 8-2 12-3 16-4 20-5 24-6 28-7 32-8 36-9 40-10 44-11 49- 53-1 57-2 61-3 65-4 69-5 73-6 77-7 81-8 85-9 89-10 93-11 98- 102-1 7 i. y 8. , ^ 1 4-8 / ^."2 9-4 / j3 14- ,' 4 18-8 / 5 23-4 ( 6 28- / 7 32-8 / 8 37-4 ,' 9 42- / 10 46-8 / 11 51-4 ^ 12 56- i 13 60-8 ; 65-4 / 14 15 70- ; 16 74-8 17 79-4 18 84- ) 19 88-8 ) 20 93-4 ) 21 98- ) 22 102-8 / 2:3 107-4 24 112- 25 116-8 26 121-4 27 126- ) 28 130-8 ) 29 135-4 ) 264 SCANTLING AND TIMBER MEASURE. 7 by 9. -c-l t«2 S3 4 5 6 7 5-3 10-6 15-9 21- 26-3 3-1-6 369 42- 47-3 52-6 57-9 63- 68-3 73-6 78-9 84- 89-3 10 11 12 13 14 15 16 17 18 94-6 19 999 20 105- 21 110-3 22 115-6 23 120-9 24 126- 25 131-3 26 136-6 27 141-9 28 :i47- 29 '152-3 30 157-6 8 by 8. ^ 1 ^2 ^3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 5-4 10-8 16- 21-4 26-8 32- 37-4 42-8 48- 53-4 58-8 64- 69-4 74-8 80- 85-4 90-8 96- 101-4 106-8 112- 117-4 1-22-8 128- 133-4 138-8 144- 149-4 1.^-8 160- 8 by 9. ^ 1 "'2 J3 4 5 12- 18- 24- 30- 36- 42- 48- 54- 60- 66- 72- 78- 84- 90- 90- 102- 108- 114- 120- 126- 132- 138- 144- 150- 156- 162- 168- 174- 180- 8 by 10. 6-8 13-4 20- 26-8 33-4 40- 46-8 53-4 60- 66-8 73-4 80- 86-8 93-4 100- 106-8 113-4 120- 126-8 133-4 HO- MO'S 1.53-4 160- 166-8 173-4 180- 186-8 193-4 200- 9 by 9. 9b> 10. -Sl 6-9 £ 1 7-6 ^'2 13-6 Sf2 15- ^3 20-3 ^3 22-6 4 27- 4 30- 5 33-9 5 37-6 6 40-6 6 45- 7 47-3 7 52-6 8 54- 8 60- 9 60-9 9 67-6 10 67-6 10 75- 11 74-3 11 82-6 12 81- 12 90- 13 87-9 13 97-6 14 94-6 14 105- 15 101-3 15 112-6 10 108- 16 120- 17 114-9 17 127-6 18 121-6 18 i:i5- 19 128-3 19 142-6 20 135 20 150- 21 141-9 21 157-6 22 148-6 22 165- 23 155-3 23 172-6 24 162- 24 180- 25 168-9 2,5 187-6 26 175-6 26 195- 27 182-3 27 202-6 28 189- 28 210- 29 195-9 29 217-6 30 202-6 30 225- 9 bv 1 1 . ^ 1 ^2 ^3 4 5 ( --51 , 22 } 23 ( 24 ( 25 ( 26 8-3 16-6 24-9 33- 41-3 49-6 57-9 66- 74-3 82-6 90-9 99- 107-3 115-6 123-9 132- 140-3 148-6 156-9 165- 173-3 181-6 18.1-9 198- 2(M>-3 214-6 222-9 231 2l8-4 166-8 175- 183-4 191-8 200- 208-4 216-8 225- 233-4 241-8 250- 10 by 1 1. ^ 1 I 9-2 «2 18-4 27-6 45-10 55- 64-2 73-4 82-6 91-8 100-10 110- 119-2 128-4 137-6 146-8 155-10 165- 174-2 183-4 192-6 201-8 21010 2-20- 229-2 •238-4 247-6 256-8 265-10 275-0 10 b V la. 11 by 11. ^1 10- ^1 10-1 y>2 20- y2 20-2 .23 30- ,13 20-3 4 40- 4 40-4 5 50- 5 50-5 6 60- 6 60-6 7 70- 7 70-7 8 80- 8 80-8 9 90- 9 90-9 10 100- 10 100-10 11 110- 11 11011 12 120- 12 121- 13 130- 13 131-1 14 140- 14 141-2 15 150- 15 151-3 16 160- 16 161-4 17 170- 17 171-5 18 180- 18 181-6 19 190- 19 191-7 20 200- 20 201-8 21 210- 21 211-9 22 220- 22 221-10 23 2:!0- 23 231-11 24 240- 24 242- 25 250- 25 252-1 26 24)0- 26 262-2 27 270- 27 272-3 28 280- 28 282-4 29 290- 29 292-5 30 3(0 30 302-6 11 b yia. 4 1 11- %''2 22- ^3 33- 4 44- 5 55- 6 66- 7 77- 8 88- 9 99- 10 110- 11 121- 12 132- 13 143- 14 154- 15 165- 16 176- 17 187- 18 198- 19 209- 20 220- 21 231- 22 242- 23 253- 24 264- 25 275- 26 286- 27 297- 28 308- 29 319- 30 330- <^. UCSB HBKAKY **vi /2 ^jfl^f^J ^ ^y cJzri^^^ ''^' V ^. UC SOUTHERN REGIONAL LIBRARY FACILITY B 000 007 931 9