A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects (1852)
Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst · leaf 60
—-— ): tan. [ —-— J =sin.-4+sin.-B : sin«4—sm.B(eq.(l), trig.) Comparing the two latter proportions (th. 6, b. 2), we have, iA+B A—B CB+AQ : CB—AC= tan. ( =-£=- ) : tan. ( —— \ Q. E. D PROPOSITION 8. Given the three sides of any plane triangle, to find some relationwhich they must bear to the sines… … CD-. aa+5s 2a (1) Now, by proposition 3, trigonometry, we have,R : cos. (7=5 : CD ™, ,. yvT-v & cos. C .... Therefore, . CD= R (2) Equating these two values of CD, and reducing, we have,n R{a?-\-V—c>) . , In this expression we observe that the part of the numeratorwhich has the minus sign,…
Surveying · Navigation
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