Hippocrates of Chios, Mathematical Works

LCL 335: 234-235

Go To Section
Go To Section
Tools

Greek Mathematics

VIII. Hippocrates Of Chios

(a) General

Philop. in Phys. A 2 (Aristot. 185 a 16), ed. Vitelli 31. 3–9

Ἱπποκράτης Χῖός τις ὢν ἔμπορος, λῃστρικῇ νηὶ περιπεσὼν καὶ πάντα ἀπολέσας, ἦλθεν Ἀθήναζε γραψόμενος τοὺς λῃστάς, καὶ πολὺν παραμένων ἐν Ἀθήναις διὰ τὴν γραφὴν χρόνον, ἐφοίτησεν εἰς φιλοσόφους, καὶ εἰς τοσοῦτον ἕξεως γεωμετρικῆς ἦλθεν, ὡς ἐπιχειρῆσαι εὑρεῖν τὸν κύκλου τετραγωνισμόν. καὶ αὐτὸν μὲν οὐχ εὗρε, τετραγωνίσας δὲ τὸν μηνίσκον ᾠήθη ψευδῶς ἐκ τούτου καὶ τὸν κύκλον τετραγωνίζειν· ἐκ γὰρ τοῦ τετραγωνισμοῦ τοῦ μηνίσκου καὶ τὸν τοῦ κύκλου τετραγωνισμὸν ᾠήθη συλλογίζεσθαι.

(b) Quadrature of Lunes

Simpl. in Phys. A 2 (Aristot. 185 a 14), ed. Diels 60. 22–68. 32

Ὁ μέντοι Εὔδημος ἐν τῇ Γεωμετρικῇ ἱστορίᾳ οὐκ ἐπὶ τετραγωνικῆς πλευρᾶς δεῖξαί φησι τὸν Ἱπποκράτην τὸν τοῦ μηνίσκου τετραγωνισμόν,

234

Greek Mathematics

VIII. Hippocrates of Chios

(a) General

Philoponus, Commentary on Aristotle’s Physics A 2 (185 a 16), ed. Vitelli 31. 3–9

Hippocrates of Chios was a merchant who fell in with a piraté ship and lost all his possessions. He came to Athens to prosecute the pirates and, staying a long time in Athens by reason of the indictment, consorted with philosophers, and reached such proficiency in geometry that he tried to effect the quadrature of the circle. He did not discover this, but having squared the lune he falsely thought from this that he could square the circle also. For he thought that from the quadrature of the lune the quadrature of the circle also could be calculated.a

(b) Quadrature of Lunes

Simplicius, Commentary on Aristotle’s Physics A 2 (185 a 14), ed. Diels 60. 22–68. 32

Eudemus, however, in his History of Geometry says that Hippocrates did not demonstrate the quadrature

235
DOI: 10.4159/DLCL.hippocrates_chios-mathematical_works.1939