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Additional resources for Thirteen Books of Euclid's Elements. Books I-II
Sample text
Mhnoires presentes a I'academie des sciences, 1856, XIV. pp. 658-719' , Woepcke read the name of the author, in the title of the first book as B . los (the dot representing a missing vowel). He quotes also from other MSS. g. of the Ta'rikh aIIfukama and of the Fihrist) where he reads the name of the commentator as B . lis, B. n . 1. s. Woepcke takes this auth'or to be Valens, and thinks it possible that he may be the same as the astrologer Vettius Valens. This Heiberg (Euklid-Studien, pp. 169,17°) proves to be impossible, because, while one of the MSS.
Considerable interest will however continue to attach to the comments of Simplicius so fortunately preserved. Proclus tells us that one Aegaeas (? Aenaeas) of Hierapolis wrote an epitome of the Elements 3 ; but we know nothing more of him or of it. I Z(llSchriftfiir Math. u. ·litt. Abth. p. 61. 2 The above argument seems to me quite insuperable. The other arguments of Tannery do not, however, carry conviction to my mind. I do not follow the reasoning based on Aganis'definition of an angle. It appears to me a pure assumption that Geminus would have seen that Posidonius' definition of parallels was not admissible.
41, 43)' 4 Vitruvius, x. 3, 3; Heron, vol. II. pp. 114-116 (Mechanics, II. 8). 6 Vitruvius, x. 1, [0; Heron, vol. II. pp. 101-4 (Mechanics, III. 1). 6 Das Mathematiker- Veneichniss im Fihrist (tr. Suter), p. 16. 7 ibid. p. 11. 22 INTRODUCTION [CH. III given in the first person introduced by " Heron says" (" Dixit Y rinus " or "Heron"); and in other places we are told that Heron "says nothing," or "is not found to have said anything," on such and such a proposition. The commentary of an-NairlzI is being published by Besthorn and Heiberg from a Leiden MS.