Proposition Replicated
Proposition XII.11
Cones and cylinders which are of the same height are to one another as their bases.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.11
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 (2)
Required by (dependents) (4)
- XII.12Proposition XII.12Similar cones and cylinders are to one another in the triplicate ratio of the diameters in 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…
- XII.14Proposition XII.14Cones and cylinders which are on equal bases are to one another as their heights.
- 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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