Proposition Replicated
Proposition XII.12
Similar cones and cylinders are to one another in the triplicate ratio of the diameters in their bases.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.12
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (3)
- XII.8Proposition XII.8Similar pyramids which have triangular bases are in the triplicate ratio of their corresponding sides.
- XII.10Proposition XII.10Any cone is a third part of the cylinder which has the same base with it and equal height.
- XII.11Proposition XII.11Cones and cylinders which are of the same height are to one another as their bases.
Required by (dependents) (1)
Discussion
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