By Archimedes, Thomas Little Heath
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Extra resources for The Works of Archimedes
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It appears from a passage of Diodorus* that he spent a considerable time at Alexandria, where it may be inferred that he studied with the successors of Euclid. It may have been at Alexandria that he made the acquaintance of Conon of Samos (for whom he had the highest regard both as a mathematician and as a personal friend) and of Eratosthenes. To the former he was in the habit of communicating his discoveries before their publication, and it is to the latter that the famous Cattle-problem purports to have been sent.
It should however be observed that, with regard to (7), no more is certain than that it was written after (6), and with regard to (8) no more than that it was later than (4) and before (9). In addition to the above we have a collection of Lemmas (Liber Assumptorum) which has reached us through the Arabic. The collection was first edited by S. Foster, Miscellanea (London, 1659), and next by Borelli in a book published at Florence, 1661, in which the title is given as Liber assumptorum Archimedis interprete Thebit ben Kora et exponente doctore Almochtasso Abilhasan.
Mai from two Vatican MSS. (Classici auct. I. p. 426-30 ; Vol. II. of Heiberg’s edition, pp. 356–8), seems to be of doubtful authenticity. Except for the first proposition, it contains enunciations only and no proofs. Heiberg is inclined to think that it represents an attempt at retranslation into Greek made by some mediaeval scholar, and he compares the similar attempt made by Rivault. * Pappus alludes (I. p. 312, ed. Hultsch) to the κύκλον μτρησις in the words ν τ περί τς το κύκλον περιϕερείας.