Proposition Replicated

Proposition XII.10

Any cone is a third part of the cylinder which has the same base with it and equal height.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.10

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 (3)

X.1 XII.2 XII.7

PropositionProposition XII.10

Outgoing (2)

Full neighborhood

Depends on (3)

X.1Proposition X.1Two unequal magnitudes being set out, if from the greater there be subtracted a magnitude greater than its half, and…
XII.2Proposition XII.2Circles are to one another as the squares on the diameters.
XII.7Proposition XII.7Any prism which has a triangular base is divided into three pyramids equal to one another which have triangular bases.

Required by (dependents) (2)

Discussion

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