Proposition VII.15 — If a unit measure any number, and another number measure any…

Proof

Discrete analogue of V.7 / V.16 applied to the unit; the unit relations transfer through the equimultiples.

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Depends on (2)

VII.13Proposition VII.13If four numbers be proportional, they will also be proportional alternately.
VII.1Definition VII.1A unit is that by virtue of which each of the things that exist is called one.

Required by (dependents) (1)

VII.16Proposition VII.16If two numbers by multiplying one another make certain numbers, the numbers so produced will be equal to one another.

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