From the book
Stobaeus, Volume I
John Stobaeus · Diotimos Editions · 2026
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At a Glance
- The wordTetragōnon denotes a four-angled figure and, where equal-sided numerical construction is intended, a square.
- In StobaeusSuccessive odd gnomons placed around a unit generate square numbers: one, four, nine, and so on.
- In this editionUse “square” in this figured-number argument.
- A place to beginOdd gnomons generate squares, contrasted with even constructions producing oblongs.
- English renderings
- square; quadrilateral; square number
Meaning
Tetragōnon denotes a four-angled figure and, where equal-sided numerical construction is intended, a square. The arithmetic context determines the more specific sense.
Use in the book
Successive odd gnomons placed around a unit generate square numbers: one, four, nine, and so on. The contrasting even construction gives unequal-sided oblongs. The passage connects numerical increase with figured arrangements, making equality of sides central rather than merely counting four angles.
Places to read
- Arith.10cOdd gnomons generate squares, contrasted with even constructions producing oblongs.
Translation in this edition
Use “square” in this figured-number argument. “Quadrilateral” would lose the equality on which the contrast depends.
Source note
Wachsmuth, volume I, printed pp. 22. The starting figure for the even construction is left implicit; the entry explains the standard pattern without inserting words into the source.