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The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)

Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 19

An illustration from The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected, 1834, leaf 19
B to the angle BCD; but it has been demon- ^ ■ strated to be greater than it; which is impossible. But if one of the vertices, as D, be within the other triangleACB; produce AC, AD to E, F; there- E fore, because AC is equal to AD in thetriangle ACD, the angles ECD, FDC uponthe other side of the…

Mathematics, Greek · Geometry · Trigonometry

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