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 160

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 160 — BDE to the triangle ADE, so is the triangle CDE tothe triangle ADE; but as the triangle BDE to the triangleADE, so isc BD to DA, because haviug the same altitude, viz. c 1. 6.the perpendicular drawn from the point E to AB, they are to oneanother as their bases; and for the same reason, as ihe… … produced, be cut proportionally in the points D, E, that is, sothat BD be to DA, as CE to EA, and join DE ; DE is parallelto BC. The same construction being made, because as BD to DA,so is CE to EA; and as BD to DA, so is the triangle BDE tothe triangle ADE*; and as CE to EA, so is,the triangle…

Euclid's Elements · Mathematics, Greek · Geometry

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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)

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