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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 221

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 221
ecause ML, LN are equal toAC, CP, each to each, but theangle MLN is greater than theangle ACP, the base MN isgreater ^ than the base AP.And MN is equal to DF ; there-fore also DF is greater than AP.Again, because DE,EF are equalto AB, BP, but the base DFgreater than the base AP, theangle DEF is… … h 24.1. 220 THE ELEMENTS b 3. def.11. Book XI. than these, which is impossible. Therefore AB is not less than Ci-y-.^ LX, and it has been proved that it is not equal to it; thereforeAB is greater than LX. a 12.11. From the point X erect a XR at right angles to the plane ofthe circle LMN. And…

Euclid's Elements · Mathematics, Greek · Geometry

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