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
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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