Proposition Replicated

Proposition VII.8

If a number be the same parts of a number that a subtracted number is of a subtracted number, the remainder will also be the same parts of the remainder that the whole is of the whole.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VII.8

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.6 VII.7

PropositionProposition VII.8

Outgoing (1)

VII.11

Full neighborhood

Depends on (2)

VII.6Proposition VII.6If a number be parts of a number, and another be the same parts of another, the sum will also be the same parts of the…
VII.7Proposition VII.7If a number be the same part of a number that a subtracted number is of a subtracted number, the remainder will also be…

Required by (dependents) (1)

VII.11Proposition VII.11If, as whole is to whole, so is a number subtracted to a number subtracted, the remainder will also be to the remainder…

Discussion

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