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 $FH$.
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Proofs: 1
