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 294
riplicate ra-tio of that which their diameters have. Let ABC, DEF be two spheres, of which the diameters areBC, EF. The sphere ABC has to the spliere DEF the triplicateratio of that which BC has to EF. For, if it has not, the sphere ABC shall have to a sphere ei-ther less or greater than UEF, the… … bCor17. 12. c 14. 5. a solid polyhedron, the superficies of which does not meet thelesser sphere GHK; and in the sphere ABC describe anothersimilar to that in the sphere DEF: therefore the solid polyhe-dron in the sphere ABC has to the solid polyhedron in thesphere DEF, the triplicate ratio ^ of…
Euclid's Elements · Mathematics, Greek · Geometry
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