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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)

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 418

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 418
has to the second. And consequently,if tlc ratio of the first parallelogram to the second begiven, the ratio of the other side of the first to thatstraight line is given; and if the ratio of tlie otherside of tlie first to that straight line be given, the ratioof t!-ic fii-st parallelogram to the… … 416 EUCLIDS other side of the first has the same ratio wliich AC has to DF. Produce the straight line AB, and make as BC to EF, soDE to BG, and complete the parallelo-gram BGHC ; therefore, because BC orGH, is to EF, as DE to BG, the sidesabout the equal angles BGH, DEF are& 14. 6. reciprocally…

Euclid's Elements · Mathematics, Greek · Geometry

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