Encyclopedia

parallelepiped

Also found in: Dictionary, Wikipedia.

parallelepiped

, parallelopiped, parallelepipedon
a geometric solid whose six faces are parallelograms
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

parallelepiped

[‚par·ə‚lel·ə′pī·pəd]
(mathematics)
A polyhedron all of whose faces are parallelograms.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Parallelepiped

 

a hexahedron whose opposite faces are parallel. A parallelepiped has eight vertices and 12 edges; its opposite faces are congruent parallelograms. A parallelepiped whose lateral edges are perpendicular to a base is called a right parallelepiped; its four lateral faces are rectangles. A rectangular parallelepiped is a right parallelepiped with a rectangular base; consequently, all six faces are rectangles. A parallelepiped whose faces are squares is called a cube. The volume of a parallelepiped is equal to the product of an altitude and the area of a base.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
Mentioned in
References in periodicals archive
We start with a parallelepiped domain D, the coarser one, sampled with a uniform space step [delta] and a corresponding time step [tau] = 0.5 x [delta] / [c.sub.o] satisfying the Courant stability criterion [16-18], [c.sub.o] being the vacuum light velocity.
Through exploration above, we discover that the volume of the parallelepiped determined by three vectors [??], [??] and [c], is actually equal to the area of a parallelogram determined by [??] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], which is a vector that is perpendicular to [??] x [??] and with the same magnitude as [??] x [??]; we note that vector [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] can be any vector lying on the plane determined by [??] and [??].
Based on the described models and procedures, the single resistance of wire electrode having length [l.sub.C] = 1m and cross-section radius [a.sub.C] = 1m placed in parallelepiped concrete cylinder of electrical conductivity [[sigma].sub.c] and surrounded by ground of electrical conductivity [[sigma].sub.1] = 0.001S/m is determined.
We investigate the crystallization of HDPE in an elongated parallelepiped, which resembles an extrudate with a square cross section (see Fig.
[zeta]=[[zeta].sub.1][[zeta].sub.2][[zeta].sub.3] possible values range--dimensional parallelepiped rectangular bounded with six planes: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
As the multifunctional machine can be similar to a parallelepiped of mass m, with [a.sub.x], [a.sub.y] and [a.sub.z] sides, then the moments of inertia of the rigid towards the tried axles x, y, z are the following:
Thus, the ceramic is represented by a parallelepiped of base dimensions m and height n, giving volumes fraction of
The sample is a parallelepiped loaded with sheets of electrotechnical steel of rectangular shape.
In Dissolvenza a projector casts that luminous word onto an iron parallelepiped. The work is positioned on the ground; the iron block is small, although it weighs more than four hundred pounds.
Copyright © 2003-2025 Farlex, Inc Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.