Proposition Replicated

Proposition VII.9

If a number be a part of a number, and another be the same part of another, alternately, whatever part or parts the first is of the third, the same part or the same parts will the second also be of the fourth.

type · theoreticalevidence · argumentextracted by · author

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

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.5 VII.6

PropositionProposition VII.9

Outgoing (2)

VII.10 VII.13

Full neighborhood

Depends on (2)

VII.5Proposition VII.5If 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…
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…

Required by (dependents) (2)

VII.10Proposition VII.10If a number be parts of a number, and another be the same parts of another, alternately, whatever parts or part the…
VII.13Proposition VII.13If four numbers be proportional, they will also be proportional alternately.

Discussion

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