A treatise on surveying and navigation: uniting the theoretical, practical, and educational features of these subjects (1857)
Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst; Toledo, Anderson, Burr, & co. · leaf 57
ore, the difference of the seg-ments is A G. As A is a point without a circle, by theorem 18, book 3, we have,AEXAF=ABxAG Hence, . . AB : AE=AF: AG Q. E. D. PROPOSITION 7. The sum of any two sides of a triangle, is to their difference, asthe tangent of the half sum of the angles opposite to these… … PLANE TRIGONOMETRY. 55 But, tan. ( —-— j: tan. ( —-— J =sin.^4+sin.i? : sm.A—sin.jB(eq. (1), trig.) Comparing the two latter proportions (th. 6, b. 2), we have, CB+AC : CB—AC= tan. ( ^t— ) : tan. ( ^— ) Q. K D. PROPOSITION 8. Given the three sides of any plane triangle, to find some relationwhich…
Surveying · Navigation
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