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CYlinders and Cones having the same Base, are in the same Ratio as are their height.
Two Cylinders AB; CD, of equal Bases, being proposed; cut out of the greater a Cylinder of the same height, with the lesser, by drawing a Plane EF parallel to its Base. It is evident that the Cylinders EF, AB, are equal (by the 11th.) and that CF to CD, hath
the same Ratio as GI to GH, or (by the Coroll. of the preceding) as the height of the Cylinder CF to the height of CD, there is thence the same Ratio of AB to CD, as of the height of EF or AB, to the height of CD.
As to Cones, seeing they are the one thirds of Cylinders, if they have equal Bases, they shall be also in the same Ratio as are their height.