Posts tagged 'cylinder'
G.562 cylinder
When, one side of those about the:term:right angle <G.33> in a:term:rectangular parallelogram <G.81> remaining fixed, the parallelogram is carried round and restored again to the same position from which it began to be moved, the:term:figure <G.9> so comprehended is a:term:**cylinder** <cylinder>.
G.563 cone part cylinder
Any cone is a third part of the cylinder which has the same base with it and equal height.
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.567 axis of a cylinder
The:term:**axis of the cylinder** <axis-of-cylinder> is the:term:segment <G.4> which remains fixed and about which the parallelogram is turned.
G.568 bases of a cylinder
And the:term:**bases** <bases-of-cylinder> are the:term:circles <G.10> described by the two sides opposite to one another which are carried round.
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.572 cones cylinders equal
Cones and cylinders which are on equal bases are to one another as their heights.
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.