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 81
ns them shallfall within*» the circle ACK: and the cir-cle ACK is without the circle ABC ; andtherefore the straight line AC is withoutthis last circle ; but, because the points A,C are in the circumference of the circleABC, the straight line AC must be within^*the same circle, which is absurd:… … PROP. XIV. THEOR. EQUAL straight lines in a circle are equally dis-tant from the centre; and those which are equallydistant from the centre, are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equalto one another; they are equally distant from the centre. Take E the…
Euclid's Elements · Mathematics, Greek · Geometry
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