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 179
s have ; and the polygonshave to one another the duplicate ratio of that vi^hichtheir homologous sides have. Let ABCDE, FGHKL be similar polygons, and let AB be thehomologous side to FG: the polygons ABCDE, FGHKL maybe divided into the same number of similar triangles, whereofeach to each has the… … OF EUCLID. 177 similar to the polygon FGHKL, the angle BAE is equal to the Book VLangle GFL a, and BA is to AE as GF to FL a : wherefore, be- ^—^—i^^cause the triangles ABE, FGL have an angle in one equal to a Idef. 6.an angle in the other, and their sides about these equal anglesproportionals, the…
Euclid's Elements · Mathematics, Greek · Geometry
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