Proposition VIII.24 — If two numbers have to one another the ratio which a square …

Proof

By VIII.11 the ratio of squares has a mean proportional; transferring that mean to

a^{2} : b

forces

b

to be square by VIII.22.

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

Full neighborhood

Depends on (2)

VIII.11Proposition VIII.11Between two square numbers there is one mean proportional number, and the square has to the square the ratio duplicate…
VIII.22Proposition VIII.22If three numbers be in continued proportion, and the first be square, the third will also be square.

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.