Proposition Replicated

Proposition XI.37

If four straight lines be proportional, the similar and similarly described parallelepipedal solids upon them will also be proportional; and if the similar and similarly described parallelepipedal solids upon them be proportional, the straight lines will themselves also be proportional.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.37

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)

VI.22 XI.33

PropositionProposition XI.37

Outgoing (0)

none

Full neighborhood

Depends on (2)

VI.22Proposition VI.22If four straight lines be proportional, the rectilineal figures similar and similarly described upon them will also be…
XI.33Proposition XI.33Similar parallelepipedal solids are to one another in the triplicate ratio of their corresponding sides.

Discussion

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