Proposition Replicated

Proposition V.5

If a magnitude be the same multiple of a magnitude that a subtracted part is of a subtracted part, the remainder also will be the same multiple of the remainder that the whole is of the whole.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:V.5

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 (0)

none

PropositionProposition V.5

Outgoing (2)

V.6 V.17

Full neighborhood

Required by (dependents) (2)

V.6Proposition V.6If two magnitudes be equimultiples of two magnitudes, and any magnitudes subtracted from them be equimultiples of the…
V.17Proposition V.17If magnitudes composed be proportional, they will also be proportional separando.

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