. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. £X. Ml \ 8 ^^ igy In the the given leg AB,bv Prob. VI, 3 ; and pro-ject the oblique circle xBz ; through its pole m draw xmz ; and reduce m to the complement of the I» C from o to p andq ; and draw the parallelcircle rls ; through the rt of intersection 1 drawthe right circle ud ; and01 jh u, A, d, drav. ixCAd. •- SPHERIC TRIGONOMETRY. A&r CALCULATION. 1. To find the other angle A. R X cos. C = cos. AB x
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. £X. Ml \ 8 ^^ igy In the the given leg AB,bv Prob. VI, 3 ; and pro-ject the oblique circle xBz ; through its pole m draw xmz ; and reduce m to the complement of the I» C from o to p andq ; and draw the parallelcircle rls ; through the rt of intersection 1 drawthe right circle ud ; and01 jh u, A, d, drav. ixCAd. •- SPHERIC TRIGONOMETRY. A&r CALCULATION. 1. To find the other angle A. R X cos. C = cos. AB x sin. AB 47° 30 4 ar. co. (/1703258: R 90 10 : : Cos. C 63 58 30 96422303 : Sin. A 40 30 5 98125561 The angle A is here ambiguous, or doubtful, as it doesnot appear from the data alone, whether BC, A, and AC,be each greater or less than 90° ; but the projection shows,that they are each less than 90°. 2. To find the other leg BC. R x sin. BC = tang. AB X cot. C. R 90° 10* : Tang. AB 47 30 4 10*0379644 : : Cot C 63 58 30 9*6886626 : Sin. BC 32 12 97266270 The side BC is ambiguous, as before observed. 3. To find the hypotenuse AC. R X sin. AB = sin. C X sin. C 63° 58 30 ar. co. 00464323: R 90 10 30 4 9*8676386 : 55 8 99140709 The hypotenuse is ambiguous, as before observed. CASE 4. Example. Given the leg AB = 47° 30 4, and theadjacent angle A =40° 30 5 ; to find the rest. 422 MATHEMATICS. PROJECTION OF THE TRIANGLE. A 1. At the circumference. Set the
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