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 87
D C the centre is in CA. There- fore, if a straight line, Sec. Q. E. D, PROP. XX. THEOR. See N. THE angle at the centre of a circle is double ofthe angle at the circumference, upon the same base,that is, upon the same part of the circumference. OF EUCLID. … b32.1 Let ABC be a circle, and BEC an angle at the centre, and Book III,BAC an angle at the circumference, which have the same cir- <^v^cumference BC for their base ; the angleBEC is double of the angle BAC. First, let E the centre of the circle bewithin the angle BAC, and join AE, andproduce it…
Euclid's Elements · Mathematics, Greek · Geometry
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