Examples of 'euclidean geometry' in a sentence

Meaning of "euclidean geometry"

Euclidean geometry is a branch of mathematics that deals with the properties, relationships, and measurements of geometrical figures and shapes. It is based on the principles and axioms established by the ancient Greek mathematician Euclid
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  • The familiar geometry of the real world, based on the postulate that through any two points there is exactly one straight line.

How to use "euclidean geometry" in a sentence

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euclidean geometry
Euclidean geometry can be axiomatically described in several ways.
The main object of this work is study some elementary comcepts in euclidean geometry.
Euclidean geometry is not true in the real world.
Distance geometry is the study of euclidean geometry based on the distances between certain objects.
Euclidean geometry is based on a set of axioms.
This work aims to show some basic applications of complex numbers in plane euclidean geometry.
Euclidean geometry is assumed throughout.
Points are considered fundamental objects in Euclidean geometry.
Euclidean geometry of the plane.
An analogy of the vector space in Euclidean geometry.
Euclidean geometry is one of.
You assumed an extra axiom of Euclidean geometry.
Euclidean geometry deals with the intersections of planar and solid shapes.
A circle is a simple shape in Euclidean geometry.
Euclidean geometry would become one of the most influential systems in the evolution of mathematics.

See also

Episodes in nineteenth and twentieth century Euclidean geometry.
Understand that Euclidean geometry is an axiomatic system.
It can be described as a generalization of Euclidean geometry.
It includes Euclidean geometry as a special case.
The book also includes proofs in Euclidean geometry.
Propositions of Euclidean geometry by the single proposition that two.
Circles are simple shapes of Euclidean geometry.
Also known as Euclidean geometry and sometimes parabolic geometry.
Antenna design has historically been dominated by Euclidean geometry.
Just as two dimensional Euclidean geometry defines its line element as.
However relativistic physics is not based on Euclidean geometry.
There is theorem in Euclidean geometry which says that if we have a tetrahedron.
The cube is another example of a shape violating Euclidean geometry.
In Euclidean geometry two rays with a common endpoint form an angle.
You assumed an extra axiom of Euclidean geometry without stating it.
The mathematical proof is valid only in the case of a Euclidean geometry.
Neither words nor concepts of Euclidean geometry serve to describe such an object.
The most familiar examples are the straight lines in Euclidean geometry.
A circle is a simple shape of Euclidean geometry that is the set of points in the.
Note that this applies to more than just Euclidean geometry.
Many features of plane and solid Euclidean geometry have mathematical analogues in higher dimensional spaces.
They can appreciate the beauty of math by studying Euclidean geometry.
Starts with arithmetic and is followed by Euclidean geometry and elementary algebra taught concurrently.
The reverse implication follows from the horosphere model of Euclidean geometry.
The thirteen books cover Euclidean geometry and the ancient Greek version of elementary number theory.
This is substantial as few people would consider Euclidean geometry a trivial theory.
In Euclidean Geometry the area of a square is a side cubed.
Projective geometry is less restrictive than either Euclidean geometry or affine geometry.
In early Euclidean geometry they.
These definitions are designed to be consistent with the underlying Euclidean geometry.
Under Ricci flow manifolds with Euclidean geometry remain invariant.
The theorems of absolute geometry hold in hyperbolic geometry as well as in Euclidean geometry.
It also is no longer taken for granted that Euclidean geometry describes physical space.
Thus every theorem of absolute geometry is a theorem of hyperbolic geometry and Euclidean geometry.
It is based on Euclidean geometry.

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Euclidean distance is invariant under orthogonal transformations
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Examples of using Geometry
The selected geometry is displayed as an active feature
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