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 259

An illustration from 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, leaf 259 — into two equal parts in the points E, F, G,H, K, L, and join FH, EG, GH, HK, KL,LH, EK, KF, FG. Because AE is equal toEB, and AH to HD, HE is parallel»to DB:for the same reason, HK is parallel to AB:therefore HEBK is a parallelogram, and HKequal ^ to EB : but EB is equal to AE ; there-fore also AE… … a 2. 6. b 34. 1. c29.1. :j: Because as a fourth proportional to the squares of BD, FH and the circleABCD is possible, and that it can neither be less nor greater than the circleFFGH, it must be equal to it. if 2 K 25S THE ELEMENTS

Euclid's Elements · Mathematics, Greek · Geometry

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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)

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