Definitions
from The Century Dictionary and Cyclopedia
 n. A solid of four or more dimensions.
Etymologies
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Examples

We may call the hypersolid a double prism, a prismcylinder, or a double cylinder according as we have two polygons, a polygon and a curve, or two curves.

A hypersolid, that is, a portion of fourdimensional space, may be separated into two parts by a threespace.

A plane cannot separate two parts of a hypersolid any more than a line can separate two parts of a solid in our space.

The plate passing through the hypersolid could extend indefinitely in its two principal dimensions but the hypersolid would not fall apart.

Sometimes the term hypersphere is used to denote the hypersolid, the portion of fourspace inclosed by this locus, which is then called the boundary or hypersurface of the hypersphere.

When one of the component cylinders has a very small radius in comparison with the other, so that the second has a very sall altitude, one cylinder being like a rope and the other like a wheel,13 the hypersolid is what we have called a doubly circular wheel (page 31).

Thus a section, cutting a hypersolid into two parts, will be threedimensional.

These two ringshaped figures fit completely, and together form the boundary of a hypersolid, inclosing a portion of fourspace.

At any point in the threedimensional boundary of the hypersolid we can start and go in three mutually perpendicular directions within this boundary  in as many directions as we have altogether in our threedimensional space.

We may have to trace curved paths if the boundary of the hypersolid is curved, but the paths start out in three mutually perpendicular directions just as in our space.
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