His treatise known as the Synagoge or Collection is a chief, and sometimes the only, source for our knowledge of his predecessors’ achievements.
His most recent cited source is Ptolemy; a scholiast puts Pappus in the reign of Diocletian (284–305); and the Suda has him a contemporary of Theon of Alexandria , and flourishing in the reign of Theodosius (379–395). 23.Ibid., VI (Leipzig, 1896), scholium 4 ad definitiones, 262.4–6: 24. 169–170. (fl. Montfaucon also noted the same manuscript under the title “Pappi De Musica.” Wallis did not accept the attribution because the title of the whole work and the titles of the chapters imply taht it is wholly the work of Porphyry and because he could detect no stylistic difference between the parts. In this respect the fate of Pappus strikingly resembles that of Diophantus. 41. Vol. The Collection first became known to the learned world when Commandino included Latin translations of various extracts in his editions of Apollonius (Bologna, 1566) and Aristarchus (Pesaro, 1572).
The longest part of the Synagoge, Book 7, is Pappus’s commentary on a group of geometry books by Euclid, Apollonius of Perga, Eratosthenes of Cyrene, and Aristaeus, collectively referred to as the “Treasury of Analysis.” “Analysis” was a method used in Greek geometry for establishing the possibility of constructing a particular geometric object from a set of given objects.
Pappus of Alexandria quote: The so called 'Treasury of Analysis' is... a special body of doctrine provided for the use of those who, after finishing the ordinary Elements, are desirous of acquiring the power of solving problems which may be set them involving (the construction of) lines, and it is useful for this alone. Author of. (4) On the inscribing of each of the five regular polyhedra in a sphere.
Rome, who first perceived the bearing of this eclipse on the date of Pappus, argues that if the total, or nearly total, eclipse of A. D. 346 had taken place, Pappus would certainly have chosen it for his example, and that the better eclipse of A. D. 291 was already too distant to be used (A. Rome, op. Several manuscripts contain the first four chapters only, and Lucas Holstein found in the Vatican a manuscript containing a definite statement that porphyry’s commentary was confined to the first four chapters of the first book and that Pappus was responsible for the remainder. If the attribution is correct—and there seems no reason to doubt it—the instrument may have been described in the missing part of the eighth book of the Collection or it may have had a place in a separate work on hydrostatics, of which no other trace has survived.
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