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 438
e base and equal to the given straight line K,as was required ; and tiie ratio of the sides GL, LH is the samewith the ratio of CM to ML, that is, with the ratio of thestraight line which is made up of GN the half of the given baseand of NM, the square of which is equal to the squares of GNand K,… … DATA. 437 fcliat is, the vertex of which is in the parallel to GH drawnthrough the point L, may be thus found. Let OGH be anysuch triangle, and draw OP, making the angle HOP equal tothe angle OGH ; therefore, as before, GP, PO, PH are pro-portionals, and PO cannot be equal to LM, because the…
Euclid's Elements · Mathematics, Greek · Geometry
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