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 265

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 265 — EF is not to the base ABC as thepyramid DEFH to any solid which is less than the pyramidABCG. Nor can the base ABC be to the base DEF as the py-ramid ABCG to any solid which is greater than the pyra-mid DEFH. For, if it be possible, let it be so to a greater, viz.the solid Z. And because the base… … B X C E V F DEFH to some solid*, which must be less ^ than the pyramid c 14.5.ABCG, because the solid Z is greater than the pyramid DEFH.And, therefore, as the base DEF to the base ABC, so is the py-ramid DEFH to a solid less than the pyramid ABCG; the con-trary to which has been proved. Therefore…

Euclid's Elements · Mathematics, Greek · Geometry

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More pictures 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

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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