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 339
hanthe square of AL, that is of KG : add to each the squareof KE ; therefore the square b of AK is not greater than the b 6. 2.squares of EK, KG, that is, ^ C than the squre of EG ; andconsequently the straight lineAK or GL is not greaterthan GE. Now, if GE beequal to GL, the circle EHFtouches AB… … c 36. therefore the circle EHF cuts the straight line AB ; let it cut it in the points M, N, and upon NB describe the square NBOP, and complete the rectangle ANPQ : because ML is equal to dj. 3. 3. LN, and it has been proved that AL is equal to LB ; therefore AM is equal to NB, and the rectangle…
Euclid's Elements · Mathematics, Greek · Geometry
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