Proposition Replicated

Proposition IX.12

If as many numbers as we please beginning from a unit be in continued proportion, by whatever prime numbers the last is measured, the second from the unit will also be measured by the same.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:IX.12

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.30 IX.11

PropositionProposition IX.12

Outgoing (1)

IX.13

Full neighborhood

Depends on (2)

VII.30Proposition VII.30If two numbers by multiplying one another make some number, and any prime number measure the product, it will also…
IX.11Proposition IX.11If as many numbers as we please beginning from a unit be in continued proportion, the less measures the greater…

Required by (dependents) (1)

IX.13Proposition IX.13If as many numbers as we please beginning from a unit be in continued proportion, and the number after the unit be…

Discussion

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