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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 287

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 287
greaterthan the v.hole EFGH; but it is also equctl to it, which is OF EUCLID. 28-5 impossible: therefore the straight line KA is not equal to B. Xll. But let KA be less than LE, and make LM equal to KA,and from the centre L, and distance LM, describe the circleMNOP, meeting the straight lines LE,… … >ABCD, MNOP are equal; therefore the circumference AD isgreater than MP; for the same reason, the circumference BCis greater than NO; and because the straight line AB is greaterthan EF, which is greater than MN, much more is AB greaterthan MN : therefore the circumference AB is greater than…

Euclid's Elements · Mathematics, Greek · Geometry

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