Examples of 'three-dimensional euclidean' in a sentence

Meaning of "three-dimensional euclidean"

Three-dimensional Euclidean refers to the mathematical concept of a three-dimensional space governed by Euclidean geometry, which includes three coordinates (x, y, z) to describe the position of points

How to use "three-dimensional euclidean" in a sentence

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three-dimensional euclidean
We shall assume that these coordinates systems are embedded in the three-dimensional euclidean space.
In three-dimensional Euclidean space, let us consider a plane with a compact arrangement of spheres on it.
Example of a shortest path in a three-dimensional Euclidean space.
For example, the three-dimensional Euclidean space is not a countable union of its affine planes.
Usually the space involved is three-dimensional Euclidean space.
A three-dimensional Euclidean space is a special case of a Euclidean space.
The relations below apply to vectors in a three-dimensional Euclidean space.
In three-dimensional Euclidean space, the distance is.
Several notations specific to the case of three-dimensional Euclidean space are common.
In three-dimensional Euclidean space there are 16 such normal forms.
A simple example of an involution of the three-dimensional Euclidean space is reflection through a plane.
These postulated properties can be translated into properties of subsets of three-dimensional Euclidean space.
A one-parameter family of surfaces in three-dimensional Euclidean space is given by a set of equations.
In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space.
The area of a parallelogram embedded in a three-dimensional Euclidean space can be calculated using vectors.

See also

It typically is more specifically four-dimensional Euclidean space, generalizing the rules of three-dimensional Euclidean space.
Three-dimensional Euclidean geometry has been torn up, thrown in the air and snogged to death!
The cube is the cell of the only regular tiling of three-dimensional Euclidean space.
In three-dimensional Euclidean space, every non-trivial tame knot or link has a quadrisecant.
The original space investigated by Euclid is now called " the three-dimensional Euclidean space.
In three-dimensional Euclidean space, quadrics have dimension D 2, and are known as quadric surfaces.
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
Typically, the Newtonian dynamics occurs in a three-dimensional Euclidean space, which is flat.
The total absolute curvature may also be defined for curves in three-dimensional Euclidean space.
While the Möbius strip can be embedded in three-dimensional Euclidean space R3, the Klein bottle can not.
For example, the Klein bottle is a surface that can not be embedded in three-dimensional Euclidean space.
For Newtonian physics, vectors are always vectors of three-dimensional Euclidean space.
This construction can be carried out geometrically in the three-dimensional Euclidean space R3.
When n 3, the set of all such locations is called three-dimensional Euclidean space.
The projective plane can not be embedded ( that is without intersection ) in three-dimensional Euclidean space.
Versors i, j, k of the Cartesian axes x, y, z for a three-dimensional Euclidean space.

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Examples of using Euclidean
Euclidean spaces also generalize to higher dimensions
In this experiment the euclidean distance was used
Euclidean distance is invariant under orthogonal transformations
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Examples of using Three-dimensional
You think in such three-dimensional terms
Three-dimensional entries will not be accepted
The principles of three-dimensional chess are mathematic
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