New Plane And Spherical Trigonometry, Surveying, And Navigation
New Plane And Spherical Trigonometry, Surveying, And Navigation
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In our eReader you can find the full English version of the book. Read New Plane And Spherical Trigonometry, Surveying, And Navigation Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book New Plane And Spherical Trigonometry, Surveying, And Navigation
What reading level is New Plane And Spherical Trigonometry, Surveying, And Navigation book?
To quickly assess the difficulty of the text, read a short excerpt:
.*. 1 — cote tan 6= 1 — cos-4 = 2sin2^^.
.-. sin (c — 6) = 2 sin2 i -4 cos 6 sin c.
38. If, in a right triangle, p de- note the arc of the great circle passing through the vertex of the right angle and perpendicular to the hypotenuse, m and n the segments 256 SPHEBICAL TBIGONOHETRT.
of the hypotenuse made by this arc adjacent to the legs a and 6, prove that (i.) tan^ = tan c tan m.
(ii.) sin^ = tan m tan n.
(i.) In triangle BCA coaB= tan a cote.
cosB .-. tan a = - -— • cote In right triangle CB...D coBB = tasiBDcotBC = tanm cot a.
tanm . tana = cos B Multiplying the two equations, ^ _ tanm ^ cosB tan% = ^ X cos 5 cote = tanm tane.
(ii.) In triangle CBD sin p = tan m cot BCD ; and in triangle CAD sin p = tan n cot DC A.
But, since BCD + DC A = 90°, cot BCD X cot DC^ = 1.
.*. sin^ = tan m tan n.
Exercise XXXIII. Page 149.
1. In an isosceles spherical tri- angle, given the base b and the side a ; find A the angle at the base, B the angle at the vertex, and h the altitude.
Let ABA' be an isosceles triangle, A and A' being the equal angles, a and a' the equal sides.
What to read after New Plane And Spherical Trigonometry, Surveying, And Navigation?
You can find similar books in the "Read Also" column, or choose other free books by George Albert Wentworth to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
.*. 1 — cote tan 6= 1 — cos-4 = 2sin2^^.
.-. sin (c — 6) = 2 sin2 i -4 cos 6 sin c.
38. If, in a right triangle, p de- note the arc of the great circle passing through the vertex of the right angle and perpendicular to the hypotenuse, m and n the segments 256 SPHEBICAL TBIGONOHETRT.
of the hypotenuse made by this arc adjacent to the legs a and 6, prove that (i.) tan^ = tan c tan m.
(ii.) sin^ = tan m tan n.
(i.) In triangle BCA coaB= tan a cote.
cosB .-. tan a = - -— • cote In right triangle CB...D coBB = tasiBDcotBC = tanm cot a.
tanm . tana = cos B Multiplying the two equations, ^ _ tanm ^ cosB tan% = ^ X cos 5 cote = tanm tane.
(ii.) In triangle CBD sin p = tan m cot BCD ; and in triangle CAD sin p = tan n cot DC A.
But, since BCD + DC A = 90°, cot BCD X cot DC^ = 1.
.*. sin^ = tan m tan n.
Exercise XXXIII. Page 149.
1. In an isosceles spherical tri- angle, given the base b and the side a ; find A the angle at the base, B the angle at the vertex, and h the altitude.
Let ABA' be an isosceles triangle, A and A' being the equal angles, a and a' the equal sides.
What to read after New Plane And Spherical Trigonometry, Surveying, And Navigation?
You can find similar books in the "Read Also" column, or choose other free books by George Albert Wentworth to read onlineMoreLess
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