Proposition Replicated

Proposition XII.14

Cones and cylinders which are on equal bases are to one another as their heights.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.14

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)

PropositionProposition XII.14

Outgoing (1)

Full neighborhood

Depends on (2)

XII.11Proposition XII.11Cones and cylinders which are of the same height are to one another as their bases.
XII.13Proposition XII.13If a cylinder be cut by a plane which is parallel to its opposite planes, then, as the cylinder is to the cylinder, so…

Required by (dependents) (1)

XII.15Proposition XII.15In equal cones and cylinders the bases are reciprocally proportional to the heights; and those cones and cylinders in…

Discussion

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