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 283
FD, so is ** theaxis LN to the axis KL. Butthe cylinder CM is equal tothe cylinder EB, and the axisLN to the axis GH : thereforeas the cylinder EB to the cylin-der FD, so is the axis GH tothe axis KL : and as the cylin-der EB to the cylinder FD, sois c the cone ABG to the cone CDK, because the… … b 13-12, 2N 282B. XII. THE ELEMENTS PROP. XV. THEOR. See N. THE bases and altitudes of equal cones and cy-linders are reciprocally proportional, and, if the basesand altitudes be reciprocally proportional, the cones^and cylinders are equal to one another. Let the circles ABCD, EFGH, the diameters…
Euclid's Elements · Mathematics, Greek · Geometry
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