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 67
equir-ed is now done :but if they are notequal, produce one \ / •B of them BE to F,and make EF e-qual to ED, andbisect BF in G;and from the centre G, at the distance GB, or GF, describe thesemicircle BHF, and produce DE to H, and join GH ; therefore,because the straight line BF is divided into two… … 66 THE ELEMENTS, Sec. Book II. together with the square of EG, is equal to the square of GH;*--v-—^ but the squares of HE, EG are equal « to the square of GH:c 47.1. therefore the rectangle BE, EF, together with the square ofEG, is equal to the squares of HE, EG: take away the squareof EG, which is…
Euclid's Elements · Mathematics, Greek · Geometry
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