Archimedis Opera Omnia cum Commentariis Eutocii, Vol. I (Heiberg 1880)

and in addition to these, that every cylinder having a base equal to the greatest circle of those in the sphere, and a height equal to the diameter of the sphere, is itself one and a half times the sphere, and its surface is one and a half times the surface of the sphere. These properties already existed by the very nature of the stated figures, but they were ignored by those before us who were engaged in geometry. But having realized that these belong to these figures, I would not hesitate to compare them both to the things previously theorized and to those which are deemed to be most securely demonstrated among the things theorized by Eudoxus concerning solids: that every pyramid is a third part of a prism having the same base as the pyramid and an equal height, and that every cone is a third part of the cylinder having the same base as the cone and an equal height. For indeed, since these properties existed naturally in these figures, and many geometers worthy of mention had lived before Eudoxus, it happened that by...

1. every] of every sphere F, of every sphere the B; "of each sphere" Cr.; perhaps the writing of cod. B should have been retained and of the sphere line 4 deleted. — base] F; the base indeed B. — having] B; having F. — equal] F; the same B; om. Cr. — 2. equal] B; equal F. — 3. to the] B; om. F. — itself one and a half] B; then one and a half F. — is] F; is B. — 5. these... itself] om. B; "these however accidents" Cr. — to the] om. F. — these indeed to nature Barrow. — 6. were ignored] were ignored F; ignored B; not however it has happened Rivaltus; "truly they had not been known to superiors" Cr. — 7. by those] om. B, gap left; by those om. F gap left; supplemented by Rivaltus; "who before us" Cr., who omitted the following. — engaged] gap left FB; inspected Rivaltus. inspected theorized Barrow. — 8. having realized] realized F; realized B; and he would realize Barrow. — that] when Rivaltus; who would Barrow. — 9. is] om. B. — belong to... not] I have written; om. gap left F, B; to the proofs Rivaltus. — hesitate] om. B; would om. F. — compare B. — 10. to the things] om. FB