An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati
An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati 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 An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati
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To quickly assess the difficulty of the text, read a short excerpt:
— r-, sin o or sin b sin A = sin a sin B.
48 Spherical Trigonometry.
for cos A 2, they may be reduced, the first becoming divisible by sin c, the second by sin b ; and they may be written thus, cos B sin a = cos b sin c — cos A sin b cos c ), p^ cos C sin a = sin J cos c — cos . # cos b sin c £ ' ' ' ^ '' If the second of these equations be multiplied by cos A, and added to the first, and 1 — sin A 2 be substituted in the place of cos A 2, we shall obtain sin a (cos B -f- cos A cos C) = sin A 2... cos b sin c ; but it follows from the equations (A), that sin c sin A = sin a sin C; substituting this value in the second member of the above equa- tion, it will become divisible by sin a, and we shall have for the result cos B -\- cos A cos C = cos b sin A sin C, or, which is the same thing, cos B = — cos A cos C -f- cos b sin A sin C. Comparing this equation with the equations (B), we see that it might be deduced immediately from the second of the equation (B), by changing capital into small letters, and small into capital, and giving to all the cosines the sign — .
What to read after An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati?
You can find similar books in the "Read Also" column, or choose other free books by S F Silvestre Franois Lacroix to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
— r-, sin o or sin b sin A = sin a sin B.
48 Spherical Trigonometry.
for cos A 2, they may be reduced, the first becoming divisible by sin c, the second by sin b ; and they may be written thus, cos B sin a = cos b sin c — cos A sin b cos c ), p^ cos C sin a = sin J cos c — cos . # cos b sin c £ ' ' ' ^ '' If the second of these equations be multiplied by cos A, and added to the first, and 1 — sin A 2 be substituted in the place of cos A 2, we shall obtain sin a (cos B -f- cos A cos C) = sin A 2... cos b sin c ; but it follows from the equations (A), that sin c sin A = sin a sin C; substituting this value in the second member of the above equa- tion, it will become divisible by sin a, and we shall have for the result cos B -\- cos A cos C = cos b sin A sin C, or, which is the same thing, cos B = — cos A cos C -f- cos b sin A sin C. Comparing this equation with the equations (B), we see that it might be deduced immediately from the second of the equation (B), by changing capital into small letters, and small into capital, and giving to all the cosines the sign — .
What to read after An Elementary Treatise On Plane And Spherical Trigonometry And On the Applicati?
You can find similar books in the "Read Also" column, or choose other free books by S F Silvestre Franois Lacroix to read onlineMoreLess
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