Proposition VII.13 — If four numbers be proportional, they will also be proportio…

Proof

Discrete analogue of V.16, deduced from VII.9 / VII.10 (the parts versions of alternation).

Knowledge graph · drag to pan, scroll to zoom, click a node to navigate

Full neighborhood

Depends on (2)

VII.9Proposition VII.9If a number be a part of a number, and another be the same part of another, alternately, whatever part or parts the…
VII.10Proposition VII.10If a number be parts of a number, and another be the same parts of another, alternately, whatever parts or part the…

Required by (dependents) (3)

VII.14Proposition VII.14If there be as many numbers as we please, and others equal to them in multitude, which taken two and two are in the…
VII.15Proposition VII.15If a unit measure any number, and another number measure any other number the same number of times, then, alternately,…
VIII.8Proposition VIII.8If between two numbers there fall numbers in continued proportion with them, then, however many numbers fall between…

Discussion

No replications, contradictions, or comments registered yet for this claim.

Replicate or annotate this claim

Replicate to register a fresh attempt; contradict, extend, or comment otherwise. Authors can post a claim-retraction with the reason taxonomy from RRP-0020.