Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A
four-dimensional analogue of acylinder
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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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.
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In a similar way we may have a hypercylinder with cylinder bases.
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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.
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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.
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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.
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