Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 47
re than onepoint ; hence there is but one circumference which can passthrough three given points. Cor. Two circumferences cannot meet in more than twoponits ; for, if they have three common points, there would betwo circumferences passing through the same three points ;which has been shown by the… … First. Suppose the chord AB =DE. Bisect these chords by the per-pendiculars CF, CG, and draw thera(hi CA, CD. In the ri<j:lit angled triangles CAF,DCG, the hypotiienuses CA, CD, areequal ; and the side AF, the half ofAB, is equal to the side DG, the halfof DE : hence the triangles are equal,and…
Trigonometry · Geometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-63-39.webp)
