A Treatise on Solid Geometry by Percival Frost Joseph Wolstenholme

By Percival Frost Joseph Wolstenholme

This Elibron Classics publication is a facsimile reprint of a 1863 version by means of Macmillan and Co., Cambridge - London.

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1. s, Ie ROllmi" wrote a commentary on Ptolemy's Planisphaerium, Vettius Valens seems to have lived under Hadrian, and must therefore have been an elder contemporary of Ptolemy. But Suter shows (Fihrist, p. zz and p. 54, note 92) that Banos is only distinguished from Babos by the position of a certain dot, and Balos may also easily have arisen from an original Babos (there is no P in Arabic), so that Pappus must be the person meant. This is further confirmed by the fact that the Fihrist gives this author and Valens as the subjects of two separate paragraphs, attributing to the latter astrological works only.

PROCLUS AND HIS SOURCESl. IT is well known that the commentary of Proclus on Eucl. Book I. is one of the two main sources of information as to the history of Greek geometry which we possess, the other being the Collection of Pappus. They are the more precious because the original works of the forerunners of Euclid, Archimedes and Apollonius are lost, having probably been discarded a»d forgotten almost immediately after the appearance of the masterpieces of that great trio. , so that there had already passed a sufficient amount of time for the tradition relating to the pre-Euclidean geometers to become obscure and defective.

An-NairlzI's commentary quotes Heron by name very frequently, and often in such a way as to leave no doubt that the author had Heron's work actually before him. Thus the extracts are 1 E. Hoppe, Ein Beitrag our Zeitbestimmung Herons von Alexandrien, Hamburg, 1901 ; Rudolf Meier, De Heronis aetate, Leipzig, 1905. See the references to the arguments in Cantor, Gesch. d. Math. 13 , pp. 365, 367, 545-7. 2 Proclus, p. 41, 10. a Vitruvius, x. 13; Heron, vol. I. p. 191 sqq. (Pneumatics, I. 41, 43)' 4 Vitruvius, x.

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