Proposition Replicated

Proposition VIII.23

If four numbers be in continued proportion, and the first be cube, the fourth will also be cube.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VIII.23

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (2)

VIII.12 VIII.22

PropositionProposition VIII.23

Outgoing (2)

Full neighborhood

Depends on (2)

VIII.12Proposition VIII.12Between two cube numbers there are two mean proportional numbers, and the cube has to the cube the ratio triplicate of…
VIII.22Proposition VIII.22If three numbers be in continued proportion, and the first be square, the third will also be square.

Required by (dependents) (2)

Discussion

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