Plane And Spherical Trigonometry
Plane And Spherical Trigonometry
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In our eReader you can find the full English version of the book. Read Plane And Spherical Trigonometry 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 Plane And Spherical Trigonometry
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To quickly assess the difficulty of the text, read a short excerpt:
These formu- lae are simple and convenient, but it is unnecessary to bur- den the memory with them.
80. Cases 3 and 4, two sides and the included angle, two angles and the included side, are solved by means of Napier's Analogies, which we shall proceed to derive.
From (48), Art. 78, we may write A ^ B * tan ^- tan ^ = 2 2 sin(s-a) sin(s-6)' 112 SPHERICAL TRIGONOMETRY [X, 80 or, since, 2 _ sin (s - a) sin (s b) sin (s c) sins sin sin 2 2 _ sin (s - c) "2"' ~^~ sins cos cos 2 2 Whence, sin - sin ..._ 1 _ _2 _ 2 _ 1 _ sin (s - c) cos^cos*' sins 2 2 or, cos cos -- sin sin 22 22 _ sins-sin(s-c) eosfcosf = That is, cos i (A + B) _ 2 cos |(2 s c) sin | c . 4 J5 sins COS C S ~ Whence, since 2s c = a-|-6-|-c c = a + 6, cos J (^ + B) _ 2 cos i (a 4- 6) sin i c, . ~ ^|^f = S5T ^' Also, from (a) above, sin sin -, , _2 _ 2 _ sm(s-c) += which being transformed in the same manner gives cos i (A B) __ 2 sin|(q + 6) cos j-c "~Z 5~ : sins cos cos 2 2 X, 80] OBLIQUE SPHERICAL TRIANGLES 113 Dividing (ft) by (y) we have cosiQi + B) = tan|c (49) cos|(4-5) tan(a+&) Again, from (48) Art.
What to read after Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Leonard M Leonard Magruder Passano to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
These formu- lae are simple and convenient, but it is unnecessary to bur- den the memory with them.
80. Cases 3 and 4, two sides and the included angle, two angles and the included side, are solved by means of Napier's Analogies, which we shall proceed to derive.
From (48), Art. 78, we may write A ^ B * tan ^- tan ^ = 2 2 sin(s-a) sin(s-6)' 112 SPHERICAL TRIGONOMETRY [X, 80 or, since, 2 _ sin (s - a) sin (s b) sin (s c) sins sin sin 2 2 _ sin (s - c) "2"' ~^~ sins cos cos 2 2 Whence, sin - sin ..._ 1 _ _2 _ 2 _ 1 _ sin (s - c) cos^cos*' sins 2 2 or, cos cos -- sin sin 22 22 _ sins-sin(s-c) eosfcosf = That is, cos i (A + B) _ 2 cos |(2 s c) sin | c . 4 J5 sins COS C S ~ Whence, since 2s c = a-|-6-|-c c = a + 6, cos J (^ + B) _ 2 cos i (a 4- 6) sin i c, . ~ ^|^f = S5T ^' Also, from (a) above, sin sin -, , _2 _ 2 _ sm(s-c) += which being transformed in the same manner gives cos i (A B) __ 2 sin|(q + 6) cos j-c "~Z 5~ : sins cos cos 2 2 X, 80] OBLIQUE SPHERICAL TRIANGLES 113 Dividing (ft) by (y) we have cosiQi + B) = tan|c (49) cos|(4-5) tan(a+&) Again, from (48) Art.
What to read after Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Leonard M Leonard Magruder Passano to read onlineMoreLess
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