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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 218

An illustration from Elements of geometry and trigonometry, 1835, leaf 218
timated in one di-rection as positive, and those which are estimated in the con-trary direction as negative. If, therefore, the cosines wliicliare estinmt(?d from C towards A be considered as j)ositive,those estimated from C towards B, must be regarded as ne«ra-live. Hence, generally, we shall… … with the change of directionin the trigonometrical line,may be illustrated by the fol-lowing example. The versedsine AP is equal to the radiusCA minus CP the cosine AM :that is,ver-sin AM=R—cos AM.Now when the arc AM be-comes AM the versed sineAP, becomes AF, that is equalto R + CP. But this…

Trigonometry · Geometry

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