Plato Statesman 266

Harold North Fowler (Translator)

Statesman. Plato. Harold North Fowler (Translator). Cambridge, MA. 1925.

Sponsored by Perseus Project, Tufts University.

Funding provided by The Annenberg CPB/Project.

Current edition Perseus

Statesman (English) (Plato in Twelve Volumes, Vol. 8. Fowler, Harold North, translator. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd., 1925 (printing).)

Editions (1)
Πολιτικός Perseus (Platonis Opera, Tomus I: Tetralogia I-II. Burnet, John, 1863-1928, editor. Oxford: Clarendon Press, 1905.) — 266 focus

Notes on the current edition

Statesman

1. The word diameter here denotes the diagonal of a square. The early Greek mathematicians worked out their arithmetical problems largely by geometrical methods (cf. Plat. Theaet. 147 D ff ). The diagonal of the unit square (√2) was naturally of especial interest. It was called sometimes, as here simply ἡ διάμετρος, sometimes, as just below, ἡ διάμετρος ἡ δυνάμει δίπους, or, more briefly, ἡ διάμετρος δίπους. Given a square the side of which is the unit (i.e. one square foot), the length of the diagonal will be √2 and the square constructed with that diagonal as its side will contain two square feet. The length of the diagonal of this square will be √4=2 feet, and its area will be four square feet.
2. There is here a play upon words. Man, being a two-footed ( δίπους) animal, is compared to the diagonal of the unit square (√2, διάμετρος δίπους).
3. i.e. the remaining species is four-footed. Our diameter is √2, and four is the area of the square constructed on the diagonal of the square which has √2 as its side. All this satirizes the tendency of contemporary thinkers to play with numbers.
4. The animal referred to is the pig. See P. Shorey, Classical Philology,1917, July, p. 308.
5. i.e. the swineherd, the pig belonging to γένει εὐχερεστάτῳ.
6. See Plat. Soph. 227B .