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By George Chrystal

This Elibron Classics e-book is a facsimile reprint of a 1904 version by means of Adam and Charles Black, London.

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Read e-book online Algebra: An Elementary Text-Book for the Higher Classes of PDF

This Elibron Classics publication is a facsimile reprint of a 1904 version through Adam and Charles Black, London.

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Extra info for Algebra: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges. Part 1

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Proclus refers to another work of Eudemus besides the history, viz. a book on The Angle ({3t{3"Aiov 7T"€pl ryro via<;)'. Tanner~assumes that this must have been part of the history, and uses this assumption to confirm his idea that the history was arranged according to subjects, not according to chronological orders. The phraseology of Proclus however unmistakably suggests p. separate work; and that the history was chronologically arranged seems to be clearly indicated by the remark of Simplicius that Eudemus "also counted Hippocrates among the more ancient writers" (iv TO£<; 7T"a"AaWT€pO£c;)6.

I. S Proclus. p. 200, [0--13. 4 Instances of the application of this criterion will be found in the discussion of Proclus' indebtedness to the commentaries of Heron, Porphyry and Pappus. 5 Van Pesch attrilJUtes this converse and proof to Pappus. arguing from the fact that the proof is followed by a passage which, on comparison with Pappus' note on the postulate that all rigijt angles are equal, he feels justifi~ in assigning to Pappus. I doubt if the evidence is sufficient. 1 H. E. 3 34 INTRODUCTION [CH.

6 Tannery, La Geometrie grecque, p. 75. 7 ibid. pp. 66-75. S ibid. p. [9. INTRODUCTION [CH. , and (3) the allusion at the beginning to the" inspired Aristotle" (0 oa£ll-ovwc; 'ApUrTOT€"ATJC;)2, though this may easily have been inserted by Produs in a quotation made by him from someone else. On the other hand there are considerations which suggest that Produs himself was not the writer. (I) The style of the whole passage is not such as to point to him as the author. (2) If he wrote it, it is hardly conceivable that he would have passed over in silence the discovery of the analytical method, the invention of Plato to which he attached so much importances.

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