Posts tagged 'axis-of-cone'

G.564 axis of a cone

The:term:**axis of the cone** <axis-of-cone> is the:term:segment <G.4> which remains fixed and about which the:term:triangle <G.12> is turned.

G.565 cones cylinders height

:term:`Cones <G.561>` and :term:`cylinders <G.562>` which are of the same :term:`height <G.209>` are to one another as their bases.

G.569 similar cones and cylinders

Similar cones and cylinders are those in which the:term:axes <G.564> and the:term:diameters of the bases <G.566> are:term:proportional <G.180>.

G.570 similar cones cylinders

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

G.571 cylinder cut plane

If a cylinder be cut by a plane which is parallel to its opposite planes, then, as the cylinder is to the cylinder, so will the axis be to the axis.

G.573 equal cones cylinders

In equal cones and cylinders the bases are reciprocally proportional to the heights; and those cones and cylinders in which the bases are reciprocally proportional to the heights are equal.