A Treatise On Plane And Spherical Trigonometry; Including the Construction of the Auxiliary Tables; a Concise Tract On the Conic Sections, And the Principles of Spherical Projection
A Treatise On Plane And Spherical Trigonometry; Including the Construction of the Auxiliary Tables; a Concise Tract On the Conic Sections, And the Principles of Spherical Projection
Lewis, Enoch, 1776-1856
The book A Treatise On Plane And Spherical Trigonometry; Including the Construction of the Auxiliary Tables; a Concise Tract On the Conic Sections, And the Principles of Spherical Projection was written by author Lewis, Enoch, 1776-1856 Here you can read free online of A Treatise On Plane And Spherical Trigonometry; Including the Construction of the Auxiliary Tables; a Concise Tract On the Conic Sections, And the Principles of Spherical Projection book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On Plane And Spherical Trigonometry; Including the Construction of the Auxiliary Tables; a Concise Tract On the Conic Sections, And the Principles of Spherical Projection a good or bad book?
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In these investigations, the radius is taken ::= L Now (Art. 62), 1 : cos A : : tan b : land. But (Art. 23), sin cosm tan •* sin d . sin ft • r — y = cos A. r . cos a cos b Again (Art 66). cos b : cos a i: cosd X cos (c— rf)^ wherefore. Digiti ized by Google SECTION IIL 105 cosa ^ c^c^^ 3 p^^ co8c.co8rf+8mc.ri.>^ COS b cos a . ^ ^ cos a . . sin d . . sin ft , = cos c + sine. % = cos c + cos A.smc. r; by putting cosd cosi* -^^^ ® . sin ft . ^ ^ ^ sin rf cos A. ; instead of :;. cos ft cos a Clear...ing this equation of fractions, cos a = cos ccos ft + cos Ajsin csin ft. (I) By Art- 64, A « T» -r^ . * ^^v sin B cos E As 1 : cos a : : tan B : cot E : : (Art. 23) 5 • - — rr ••• ^ ^ cos B sin E cos E sin B = cos a.. s. cos B By Art. 68, As cos B : cos A : : isin E : sin (C — E) .*. cos A __ sin (C — E) _^ ^ ^^ sin Ccos E— cos Csin E S5iB - ~ihi"E ^^''^- ^^' * • ^> snr'. . _, cos E ^ . _, sin B ^ . . = sm C.-n — « — cos C. = cos a.sin C. 5 — cos C ; subst^ sin £4 cos D cos E tuting for-i — p.
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