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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 58

An illustration from A treatise on surveying and navigation: uniting the theoretical, practical, and educational features of these subjects, 1857, leaf 58
ion 3, trigonometry, we have,B\ cos. C=b : CD Therefore, . CdJ^- (2) Equating these two values of CD, and reducing, we have, R(a?+V-c>) . . cos.G——-——— (m) 2ab v ; In this expression we observe that the part of the numeratorwhich has the minus sign, is the side opposite to the angle; andthat the… … B_JR(a*+c*-P) cos.i?=-^- - (p) 56 SURVEYING. As these expressions are not convenient for logarithmic compu-tation, we modify them as follows :If we put 2a=A, in equation (31), we have, cos.^4-f-1=2 cos.2\AIn the preceding expression (n), if we consider radius, unity,and add 1 to both members, we…

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