A Course On the Solution of Spherical Triangles for the Mathematical Laboratory
A Course On the Solution of Spherical Triangles for the Mathematical Laboratory
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(ft) Having first found (or $'), supposing that A and b (or c) are given, we obtain the required fourth part a or c (or b) from equation (a) or (/3). Similarly for any other equation of group (5). Example 1. Given & = 49 24' 10"'23, A = 110 51' 14" '84, a = 70 14' 20"'12, find c< 180. L tan 6 = 10 -0670 102, 5 L cos A = 9-5514 376, Irc Ltan0= 9-6184 478, 6n 6= - 22 33' 25"'66 Lcos6= 9-8134 052, 1 -Lcos&= 0-1865 947, 9 Lcosa= 9-5290 434, 7 L cos 0= 9-9654 357, 2 L cos (e-0)= 9-6810 739, 8 c-6= 61 19' 36" '01 c= 3846'10"-35. The student should verify the above calculation as far as seven-place tables will permit by using the value of c obtained, together with a and A, to find b. Example 2. Given a = 31 42' 16"'4, & = 36 17' 10"'0, = 98 12' 40"'0, find c. (Ans. : 50 6' 24" -0. ) 16 THE SOLUTION OF SPHERICAL TRIANGLES [CH. N 18. Employment of Gaussian Logarithms. By means of the " auxiliary angle " of last section, we can find the value of any one of the four variables of the cosine formula when the other three are given.
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To quickly assess the difficulty of the text, read a short excerpt:
(ft) Having first found (or $'), supposing that A and b (or c) are given, we obtain the required fourth part a or c (or b) from equation (a) or (/3). Similarly for any other equation of group (5). Example 1. Given & = 49 24' 10"'23, A = 110 51' 14" '84, a = 70 14' 20"'12, find c< 180. L tan 6 = 10 -0670 102, 5 L cos A = 9-5514 376, Irc Ltan0= 9-6184 478, 6n 6= - 22 33' 25"'66 Lcos6= 9-8134 052, 1 -Lcos&= 0-1865 947, 9 Lcosa= 9-5290 434, 7 L cos 0= 9-9654 357, 2 L cos (e-0)= 9-6810 739, 8 c-6= 61 19' 36" '01 c= 3846'10"-35. The student should verify the above calculation as far as seven-place tables will permit by using the value of c obtained, together with a and A, to find b. Example 2. Given a = 31 42' 16"'4, & = 36 17' 10"'0, = 98 12' 40"'0, find c. (Ans. : 50 6' 24" -0. ) 16 THE SOLUTION OF SPHERICAL TRIANGLES [CH. N 18. Employment of Gaussian Logarithms. By means of the " auxiliary angle " of last section, we can find the value of any one of the four variables of the cosine formula when the other three are given.
What to read after A Course On the Solution of Spherical Triangles for the Mathematical Laboratory?
You can find similar books in the "Read Also" column, or choose other free books by Herbert Bell to read online
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