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Corollary: 9.11: Elements of Geometric Progression from One which Divide Later Elements

(related to Proposition: Prop. 9.11: Elements of Geometric Progression from One which Divide Later Elements)

(Corollary to Proposition 11 from Book 9 of Euclid's “Elements”)

And (it is) clear that what(ever relative) place the measuring (number) has from the unit, the (number) according to which it measures has the same (relative) place from the measured (number), in (the direction of the number) before it. (Which is) the very thing it was required to show.

Modern Formulation

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Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"