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 129
PROP. I. THEOR. Triangles and parallelograms of the same altitudeare one to another as their bases.* Let the triangles ABC, ACD, and the parallelograms EC, CF,have the same altitude, viz. the perpendicular drawn from thepoint A to BD : then, as the base BC is to the base CD, so is thetriangle ABC… … 126 THE ELEMENTS OF EUCLID. BOOK VI. Produce BD both ways to the points H, L, and take any num-ber of straight lines BG, GH, each equal tQ the base BC; andDK, KL, any number of them, each equal to the base CD, andjoin AG, AH, AK, AL: then, because CB, BG, GH are all equal,the triangles AHG, AGB,…
Mathematics, Greek · Geometry · Trigonometry
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