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Greek Mathematics

XV. Euclid

(a) General

Stob. Ecl. ii. 31. 114, ed. Wachsmuth ii. 228. 25–29

Παρ᾿ Εὐκλείδῃ τις ἀρξάμενος γεωμετρεῖν, ὡς τὸ πρῶτον θεώρημα ἔμαθεν, ἤρετο τὸν Εὐκλείδην· “τί δέ μοι πλέον ἔσται ταῦτα μαθόντι;” καὶ ὁ Εὐκλείδης τὸν παῖδα καλέσας “δός,” ἔφη, “αὐτῷ τριώβολον, ἐπειδὴ δεῖ αὐτῷ ἐξ ὧν μανθάνει κερδαίνειν.”

(b) The Elements

(i.) Foundations Eucl. Elem. i. Ὅροι

α΄. Σημεῖόν ἐστιν, οὗ μέρος οὐθέν.

β΄. Γραμμὴ δὲ μῆκος ἀπλατές.

γ΄. Γραμμῆς δὲ πέρατα σημεῖα.

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Euclid

XV. Euclida

(a) General

Stobaeus, Extracts ii. 31. 114, ed. Wachsmuth ii. 228. 25–29

Someone who had begun to read geometry with Euclid, when he had learnt the first theorem asked Euclid, “But what advantage shall I get by learning these things?” Euclid called his slave and said, “Give him threepence, since he must needs make profit out of what he learns.”

(b) The Elementsb

(i.) Foundations Euclid, Elements i. definitionsc

1. A point is that which has no part.

2. A line is length without breadth.

3. The extremities of a line are points.

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DOI: 10.4159/DLCL.euclid-greek_mathematical_works_xiv_euclid.1939