Similar cones and cylinders are to one another in the cubed ratio of the diameters of their bases.

- Let there be similar cones and cylinders of which the bases (are) the circles $ABCD$ and $EFGH$, the diameters of the bases (are) $BD$ and $FH$, and the axes of the cones and cylinders (are) $KL$ and $MN$ (respectively).
- I say that the cone whose base [is] [circle]bookofproofs$690 $ABCD$, and apex the point $L$, has to the cone whose base [is] [circle]bookofproofs$690 $EFGH$, and apex the point $N$, the cubed ratio that $BD$ (has) to $FH$.

(not yet contributed)

Proofs: 1

**Fitzpatrick, Richard**: Euclid's "Elements of Geometry"

**Prime.mover and others**: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016