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 (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 229
F 226 THE ELEMENTS OF iiUCLlD. BOOK XII. bases are equal: therefore also the cylinders EB, CM are equal;And because the cylinder FMis cut by the plane CD parallelto its opposite planes, as the cy-linder CM to the cylinder FD,so is (is. 12.) the axis LN tothe axis KL. But the cylinderCM is equal to… … the cone CDK, because the cylinders are triple (10. 12.) of thecones: therefore also the axis GH is to the axis KL, as the coneABG to the cone CDK, and the cylinder EB to the cylinder FD.Wherefore cones, &c. Q. E. D. PROP. XV. THEOR. The bases and altitudes of equal cones and cylindersare…
Mathematics, Greek · Geometry · Trigonometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-338-229.webp)
