Definition:Cylinder/Similar Cylinders
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Definition
Let $h_1$ and $h_2$ be the heights of two cylinders.
Let $d_1$ and $d_2$ be the diameters of the bases of the two cylinders.
Then the two cylinders are similar if and only if:
- $\dfrac {h_1} {h_2} = \dfrac {d_1} {d_2}$
In the words of Euclid:
- Similar cones and cylinders are those in which the axes and the diameters of the bases are proportional.