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 220

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 220 — e centre X of the circle fall without the triangleLMN, and join LX, MX, NX. In this case likewise AB isgreater than LX : if not, it is either equal to, or less than LX :first, let it be equal; it may be proved in the same manner,as in the first case, that the angle ABC is equal to the angleMXL, and… … OF EUCLID. 219 EF are equal to MX, XN, and the base DF to the base MN, the Book XI.angle MXNT is equal ^ to the angle DEF: and it has been prov- ^-v—•>ed that it is greater than DEF, which is absurd. Therefore AB d 8.1.is not equal to LX. Nor yet is it less; for then, as has beenproved in the…

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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