parallelepiped


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parallelepiped

, parallelopiped, parallelepipedon
a geometric solid whose six faces are parallelograms

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.

parallelepiped

[‚par·ə‚lel·ə′pī·pəd]
(mathematics)
A polyhedron all of whose faces are parallelograms.
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.
Rectangular parallelepiped with punching handle, silver foil embossing (300 g) 50 000 pcs.
[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.