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 197
OF EUCLID. Describe * the circle ACB about thetriangle, and draw its diameter AE,and join EC: because the right angleBDA is equal •> to the angle ECA in asemicircle, and the angle ABD to the Bangle AEC in the same segment <=; thetriangles ABD, AEC are equiangular;therefore, as^ BA to AD, so… … e 16. 6. PROP. D. THEOR. THE rectangle contained by the diagonals of aSecN.quadrilateral inscribed in a circle is equal to both therectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle, and joinAC, BD ; the rectangle contained by AC, BD is equal to the…
Euclid's Elements · Mathematics, Greek · Geometry
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