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 78
G; then FG isa diameter of the circle ABC : andbecause in FG, the diameter of thecircle ABC, there is taken thepoint D which is not the centre, DGshall be the greatest line from it tothe circumference, and DC greatera than DB, and DB than DA ; butthey are likewise equal, which isimpossible :… … a 9. 3. PROP. X. THEOR. ONE circumference of a circle cannot cut anotherin more than two points. If it be possible, let the circumfe-rence FAB cut the circumferenceDEF in more than two points, viz.in B, G, F; take the centre K of thecircle ABC, and join KB, KG, KF:and because within the circle…
Euclid's Elements · Mathematics, Greek · Geometry
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