999903 48 99990747 999910 46 999914 45 99991844 99992243 999925 42 999929 41 999932 40

999936 39 999939 38 999942 37 999945 36 999948 35 99995134 999954 33 999957132 99995931

0984808 987688 9 0268 99-546 994522 996195 997564 9986-1999391, 999748 60 1984858 987734 9 0304 992582 994552 996220 997584,998645 999401 994853.59 2984909 987779 9 0349 992617 994583 996245 997604 998660 999411 999*,6,53 3984959 987824 90389 992652 994613 996270 997625 998675 999421 999863 57 4985009 987870 990429 992687 994643 996295 997645 998690 999431 999867 56 5985059.987915 990469 992722 994673|996320|997664 998705 999441 99987315s 6985109 987960 990509:992757 994703 996345 997684 998719 999450 999877154 7985159 988005 990549.992792 994733 996370 997704 998734 999460 99988.13) 8985209 988050 990589:992827 994762 996395 997724 998749 999469 9998865 9985259 988004 990629/992862 994792 996419 997743 998763 999479 99989051 10985309 988139 990669 992896 994822996444 997763 998778 9994881 99989450 1985358 988184 990708 992931 994851 996468997782 998792 999497 999898|49| 12985408 988228 990748 992966 994881 996493 997801 998806 999507 $3985457 988273 990787 993000 994910 996517 997821 998820 999516 14985507 988317 990827 993034994939 996541 997840998834 999525 15985556 988362 990866 993068994969996566 097859 998848999534 16985605 988406 990905 993103 994998 996589 997878 998862 999542 17985654/988450 990944 993137 995027 996614997897 998876 999551 18985703 988494 990983 993171 995056 996637 997916 998890 999560 19 985752 988538 99 1022 993205|995084|996661|997934 998904 999568 20 985801 988582 99106143238 995113 996685 997953 998917 999577 21985850 988626 991100 993272 99514296709 99797299893 999585 22 985899 988669 991138 993306 995170 996732 997990 998944 999594 23985947 988713 991177 993339 995199 996756 998008 998957 999602 24 985996 98875691216 993373 995227 996779 998027 998971 999610 25 986045 988800|991254|993406 995256 996802 998045 998984999618 26 986093 988843 991292 993439 995284 996825 998063 998997999626 27986141 988886 991331 993473 995312 996848 998081 999010 999634 28 986189 988930 991369 993506 995340 996872 998099 999023 999642 29986238 988973 991407 993539 995368 996894 998117 999035 999650 30986286 989016 991445 993572 995396 996917 998135 999048 999657 999962,30 31986334 989059 991483 993605.995424 996940|998153|999061|999665 999964|29| 32986381 989102 991521 993638 995452 996963 998170 999073 999672 99996728 33 986429 989145 991558 993670'995479|996985 998188 999086 999680|| 999969|27| 34 986477 989187 991596 993703 995507 997008 998205 999098 999687 999971|26|| 35 986525 989230 991634 993735 995535 997030 998223 999111 999694 36 986572:989272 991671.993768 995562 997053 998240 999123 999701 37 986620 9893159917091993800 995589 997075 995257 999135 999709 38 986667 989357 991746 993833 995617 997097 998274999147 999716 39 986714'989399 9917831993865 995644 997119|998291|999159 999722 40 986762 989442 991820 993897 995671 9971411998 308 999174 999729 41 986809 989484 991857 993929 995698 997163 998325 999183.999736 42 986856 989526 991894 993961 995725 997185 998 42 999194 999743 43 936903 989568 991931 993993 995752 997207 998359 999206,999749 44986950 989610 991968 994025 995778 997229 998375 999218 999756 45 986996 989651 992005 994056 995805 997250 998592 999229 999762 46 987043 989693 992042 994088 995832 997272 998408 999240 999768 47 987090 989735 992078 994120.995858 997293 998425 999252 999775 48987136 989776 992115 994151.995884 997314 998441 999263 999781 49987183989818 992151 994182 995911|997336|998457|999274|999787 999995!! 50987229 989859 992187 994214 995937 997357 998473 999285 999793 51 987275 989900 992224 994245,995963 997378 998489 999296 999799 52 987322 989942 992260 994276 995989 997399 998505 999307 999804 53 987368 989983 992296 994307 996015 997420 998521 999318 999810 54 987414 990024 992332 994338 996041 997441 998537 999328 999816 55 987460 990065 9923681994369 996067 997462 998552 999339 999821 999999, > 5987506 990105 992404 9944001996093 997482 998568 999350999827 999999 57 987551 990146 992439 994430 996118 997503 998583 999360 9998321000000 3 58 987597 990187 992475 994461 986144 997523 998599 999370 999837|1000000. 2 59 987643 990228 992511 994491 996169 997544 998614 999381 9998431000000 50987688 990268 992546 994522 096105|997564|998630 999391 999) 48 1000000

999974 25 999976 24, 999978 23 999980 22 999981 211 999983 20

999985 19 999986 18 999988 17 99998916 999990.15 999992 14 99999313 999994 12

99999611

999997 999997 999998" 9999982

4

M

THE

ANGLES

Which every Point and Quarter Point of the Compass makes with the Meridian.

TABLE V.

A TRAVERSE TABLE,

To every Degree and Quarter Degree of the Compass or Horizon.

EXPLANATION.

This Table is calculated for. the easy and expeditious solution of le several cases of Right-angled Plane Trigonometry. It is generalesteemed a useful and requisite assistant to the Surveyor, the Tavigator, and to every one, who has any concern with trigonometry the exercise of his profession. The manner of using it must be very bvious to all, who are acquainted with the principles of that excellent ranch of geometry; but to those, who have only a superficial knowedge of the subject, the following description and examples will be ecessary.

In this Table, one of the acute angles-whether given, or requiredless than 45o, is found, to the nearest 15' at the top of the page; but f more than 45o, it must be sought at the bottom, where the numbers re found in a retrograde order. And whether the angle under considration, be at the top, or bottom, the Hypothenuse, if less than 120, is Iways in a Distance column; against which, in a column marked Latiude, is found the side contiguous to the angle; and in a column, marked Departure, the side opposite the angle.

When the given numbers exceed the limits of the table, any aliquot parts, such as a half, one third, &c. may be taken; and those found corresponding are to be doubled, trebled &c. that is, multiplied by the ame figure, that the given number is divided by.

EXAMPLES,

1. Let the Hypothenuse of a right angled triangle 96 and one of he acute angles 33° 45'; required the sides.

Under 330 45′ at the top of the table, and against 96 in a Distance column, are found 79.84 in a Latitude column for the side contiguous o the given angle, and 53.34 in a Departure column for the side opposite the given angle.

2. Let the sides of a right angled triangle be=89.23 and 66.02; required the angles and Hypothenuse.

By inspecting this table, till these two sides are found against each other in adjoining columns of Latitude and Departure, the angle opposite the longest side is found to be 530 30', the other, 36° 30′ and he Hypothenuse, 111.

In this manner all the cases of Right-angled Plane Trigonometry can be readily solved; but for more particular directions, books on this subject should be consulted,