Definition:Euclid's Definitions - Book X (III)/1 - First Apotome
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Definition
In the words of Euclid:
- Given a rational straight line and an apotome, if the square on the whole be greater than the square on the annex by the square on a straight line commensurable in length with the whole, and the whole be commensurable in length with the rational straight line set out, let the apotome be called a first apotome.
(The Elements: Book $\text{X (III)}$: Definition $1$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{X}$. Definitions $\text{III}$