Euclid:Proposition/X/1
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Proposition
In the words of Euclid:
- Two unequal magnitudes being set out, if, from the greater there be subtracted a magnitude greater than its half, and from that which is left a magnitude greater than its half, and if this process be repeated continually, there will be left some magnitude which will be less than the lesser magnitude set out.
(The Elements: Book $\text{X}$: Proposition $1$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{X}$. Propositions