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 79

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 79 — it must pass through it. Therefore, if two circles, 5cg.Q. E. D. PROP. XIL THEOR. IF two circles touch each other externally, thestraight line which joins their centres shall passthrough the point of contact. Let the two circles ABC, ADE touch each other externallyin the point A ; and let F be the… … 78 THE ELEMENTS Book III. join FA, AG: and because F is the centre of the circle ABC,*—Y-. AF is equal to FC : also, ^ E because G is the centre of the circle ADE, AG is e- qual to GD: therefore FA, AG are equal to FC, DG; wherefore the whole FG is greater than FA,a 20.1. AG: but it is also less*;…

Euclid's Elements · Mathematics, Greek · Geometry

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More pictures 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

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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