Proposition Replicated

Proposition VII.5

If a number be a part of a number, and another be the same part of another, the sum will also be the same part of the sum that the one is of the other.

type · theoreticalevidence · argumentextracted by · author

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

Outgoing (4)

VII.6 VII.9 VII.12 VII.16

Full neighborhood

Required by (dependents) (4)

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.9Proposition VII.9If a number be a part of a number, and another be the same part of another, alternately, whatever part or parts the…
VII.12Proposition VII.12If there be as many numbers as we please in proportion, then, as one of the antecedents is to one of the consequents,…
VII.16Proposition VII.16If two numbers by multiplying one another make certain numbers, the numbers so produced will be equal to one another.

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