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 360
e be si-milar and similarly situated pyramids which have the pointsM, N for their vertices : the pyramid ABCDEM has to thepyramid FGHKLN the triplicate ratio of that which the sideAB has to the homologous side FG. Let the polygons be divided into the triangles ABE, EBC,ECD ; FGL, LGH, LHK, which… … C L A B F to EB, so is FL to LG, because the triangles EAB, LFG aresimilar ; therefore, ex jequali, as ME to EB, so is NL to LG :
Euclid's Elements · Mathematics, Greek · Geometry
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