Proposition Replicated

Proposition IX.17

If as many numbers as we please be in continued proportion, and the extremes of them be prime to one another, the last will not be to any other number as the first is to the second.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:IX.17

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.3 IX.16

PropositionProposition IX.17

Outgoing (0)

none

Full neighborhood

Depends on (2)

VIII.3Proposition VIII.3If as many numbers as we please in continued proportion be the least of those which have the same ratio with them, the…
IX.16Proposition IX.16If two numbers be prime to one another, the second will not be to any other number as the first is to the second.

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