Apollonius of Perga, Mathematical Works

LCL 362: 276-277

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Greek Mathematics

XIX. Apollonius of Perga

(a) The Conic Sections

(i.) Relation to Previous Works

Eutoc. Comm. in Con., Apoll. Perg. ed Heiberg ii. 168. 5–170. 26

Ἀπολλώνιος ὁ γεωμέτρης, ὦ φίλε ἑταῖρε Ἀνθέμιε, γέγονε μὲν ἐκ Πέργης τῆς ἐν Παμφυλίᾳ ἐν χρόνοις τοῦ Εὐεργέτου Πτολεμαίου, ὡς ἱστορεῖ Ἡράκλειος ὁ τὸν βίον Ἀρχιμήδους γράφων, ὃς καί φησι τὰ κωνικὰ θεωρήματα ἐπινοῆσαι μὲν πρῶτον τὸν Ἀρχιμήδη, τὸν δὲ Ἀπολλώνιον αὐτὰ εὑρόντα ὑπὸ Ἀρχιμήδους μὴ ἐκδοθέντα ἰδιοποιήσασθαι, οὐκ ἀληθεύων κατά γε τὴν ἐμήν. ὅ τε γὰρ Ἀρχιμήδης ἐν πολλοῖς φαίνεται ὡς παλαιοτέρας τῆς στοιχειώσεως τῶν κωνικῶν μεμνημένος, καὶ ὁ Ἀπολλώνιος οὐχ ὡς ἰδίας ἐπινοίας γράφει· οὐ γὰρ ἂν ἔφη “ἐπὶ πλέον καὶ καθόλου μᾶλλον

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Apollonius Of Perga

XIX. Apollonius of Perga

(a) The Conic Sections

(i.) Relation to Previous Works

Eutocius, Commentary on Apollonius’s Conic. Apoll. Perg. ed. Heiberg ii. 168. 5–170. 26

Apollonius the geometer, my dear Anthemius, flourished at Perga in Pamphylia during the time of Ptolemy Euergetes,a as is related in the life of Archimedes written by Heraclius,b who also says that Archimedes first conceived the theorems in conics and that Apollonius, finding they had been discovered by Archimedes but not published, appropriated them for himself, but in my opinion he errs. For in many places Archimedes appears to refer to the elements of conics as an older work, and moreover Apollonius does not claim to be giving his own discoveries; otherwise he would not have described his purpose as “to investigate these properties more fully and more

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DOI: 10.4159/DLCL.apollonius-perga-mathematical_works.1941