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 275
he pyramid circums,cribed about it, because they are to one ^ —^mjanother as their bases »: but the cone is less than the circum- a 6.12.scribed pyramid ; therefore the pyramid of which the base is thesquare EFGH, and its vertex the same with that of the cone, isgreater than half of the cone:… … the segment of the circle in which it is: upon each of thesetriangles erect a pyramid having the same vertex with the cone ;each of these pyramids is greater than the half of the segmentof the cone in which it is: and thus, dividing each of these cir-cumferences into two equal parts, and from the…
Euclid's Elements · Mathematics, Greek · Geometry
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