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