Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 64
int A lies without the circle, therewill evidently be always two equal tangents AB, AD, passingthrough the point A : they are equal, because tlie right angledtriangles CBA, CDA, have the hypothenuse CA common, andthe side CB = CD; hence they are equal (Book I. Prop. XVII.);hence AD is equal to AB,… … PROBLEM XV. To inscribe a circle in a. given tîiangle. Let ABC be the given triangle. Bisect the angles A and B, bythe lines AO and BO, meeting inthe point O ; from the point O,let fall the perpendiculars OD,OE, OF, on the three sides of thetriangle: these perpendiculars willall be equal. For, by…
Trigonometry · Geometry
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