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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 280

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 280
s the circle ABCD and vertex L, is to the 278 THE ELEMENT^ B. XII. solid X, so is tire pyramid the base of which Is the polygon^-y-^ DQATBYCV, and vertex L, to the pyramid the base of whichis the polygon HSEOFPGR and vertex N: but the said coneis greater than the pyramid contained in it, therefore… … ABCD, and vertex L, has not to any solid which is less than thecone of which the base is the circle EFGH and vertex N, the tri-plicate ratio of that which AC has to EG. In the same mannerit may be demonstrated that neither has the cone EFGHN toany solid which is less than the cone ABCDL, the…

Euclid's Elements · Mathematics, Greek · Geometry

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