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 410

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 410 — ilinealABCDE is to the triangle ABC, as the straight line HM to ML.In like manner, because the triangle G AF is to FAB, as ON toNM, by composition, the rectilineal ABFG is to the triangleABF, as MO to NM; and, by inversion, as ABF to ABFG, sois NM to MO. And the triangle ABC is to ABF, as LM toMN.… … 50. PROP. LIV. IF two straight lines have a gi\ en ratio to one ano-ther; the similar rectilineal figin-es described upon them«similarly, shall have a given ratio to one another. Let the straight lines AB, CD have a given ratio to one ano-ther, and let the similar and similarly placed rectilineal…

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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