Proposition Replicated

Proposition IX.15

If three numbers in continued proportion be the least of those which have the same ratio with them, any two whatever added together will be prime to the remaining number.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:IX.15

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)

VII.28 VIII.3

PropositionProposition IX.15

Outgoing (0)

none

Full neighborhood

Depends on (2)

VII.28Proposition VII.28If two numbers be prime to one another, the sum will also be prime to each of them; and if the sum of two numbers be…
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…

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