hypercylinder love

# hypercylinder

## Definitions

• n. A four-dimensional analogue of a cylinder

## Etymologies

hyper- +‎ cylinder

## Examples

• A part of the lateral boundary consists of two cylinders joining the ends of the cylinder bases, and the figure may be taken in two ways as a hypercylinder.

The Fourth Dimension Simply Explained

• In a similar way we may have a hypercylinder with cylinder bases.

The Fourth Dimension Simply Explained

• Since the cylinders may be generated in a similar manner by a plane curve moving parallel to itself around any one of the parallelograms, we have a parallelogram and a closed plane curve, each playing the part of generating element with the other for directrix in generating one portion of the hypercylinder.

The Fourth Dimension Simply Explained

• Among the first to be noticed are the hyperprism and hypercylinder with parallel line elements, and the hyerpyramid and hypercone with line elements meeting at a vertex.

The Fourth Dimension Simply Explained

• The hyperprism with prism bases and the hypercylinder with cylinder bases are, then, particular cases of a class of hypersolids which may be described as follows: Two polygons, or two closed plane curves, or a polygon and a plane curve are placed together so that they intersect but do not lie in a single three-space.

The Fourth Dimension Simply Explained