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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 54

An illustration from Elements of geometry and trigonometry, 1835, leaf 54
on, the angle CADwill be measured by the half of ED ; hence BAC + CAD, or BADwill be measured by half of BE + ED, or of BED. Suppose, in the second place, that thecentre C lies without the angle BAD. Thendrawing the diameter AE, the angle BAEwill be measured by the half of BE ; theangle DAE by the… … BOOK III. 55 Cor. 1. All the angles BAC, BDC,BEC, inscribed in the same segment areequal ; because they are all measured bythe half of the same arc BOC. Cor, 2. Every angle BAD, inscribed in asemicircle is a right angle ; because it is mea-sured by half the semicircumferencc BOD,that is, by the…

Trigonometry · Geometry

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