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 (1806)
Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 45
e ABC is equal »> ^ *- £. ^ b 38.1,to the triangle GEF, because they are upon equal bases BC, EF,and between the same parallels BF, AG : but the triangle ABCis equal to the triangle DEF ; therefore also the triangle DEFis equal to the triangle GEF, the greater to the less, which isimpossible :… … a 31.1. PROP. XLI. THEOR. IF a parallelogram and triangle be upon the samebase, and between the same parallels; the parallelo-gram shall be double of the triangle. 44 THE ELEMENTS Book I. Let the parallelogram ABCD and the triangle EBC be «—V— the same base BC, and between the same parallels BC,…
Euclid's Elements · Mathematics, Greek · Geometry
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