Democritus, Mathematical Works

LCL 335: 230-231

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Greek Mathematics

τοῦ κυλίνδρου, ἡ δὲ πυραμὶς τοῦ πρίσματος, τῶν βάσιν ἐχόντων τὴν αὐτὴν καὶ ὕψος ἴσον, οὐ μικρὰν ἀπονείμαι ἄν τις Δημοκρίτῳ μερίδα πρώτῳ τὴν ἀπόφασιν τὴν περὶ τοῦ εἰρημένου σχήματος χωρὶς ἀποδείξεως ἀποφηναμένῳ.

230

Greek Mathematics

is a third part of the cylinder, and the pyramid of the prism, having the same base and equal height, no small share of the credit should be given to Democritus, who was the first to make the assertion with regard to the said figure,a though without proof.

231
DOI: 10.4159/DLCL.democritus_philosopher-mathematical_works.1939