Examples of 'projective plane' in a sentence
Meaning of "projective plane"
In mathematics, a projective plane is a two-dimensional geometric structure that extends the concept of a plane by including points at infinity. It is a fundamental concept in projective geometry and is used to study perspective and projective transformations
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- A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point.
How to use "projective plane" in a sentence
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projective plane
Models of projective plane and projective space.
Then you just get a projective plane.
Axioms of projective plane and projective space.
Surveying points in the complex projective plane.
Lines in the projective plane are defined exactly as above.
The transition from a sphere to a projective plane.
Geometry in the projective plane with a fixed straight line.
Another such surface is the real projective plane.
The dual structure of a projective plane is also a projective plane.
It is also possible to implement it on the real projective plane.
Finite projective plane.
An ovoid is the spatial analog of an oval in a projective plane.
Dual projective plane.
The simplest example is the complex projective plane.
We can see the projective plane and its circular hole appear.
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Conic sections in the projective plane.
The real projective plane has a fundamental group that is a cyclic group with two elements.
Choose a line in the projective plane.
This particular projective plane is sometimes called the Fano plane.
The number b is the number of lines of the projective plane.
Thus any two distinct lines in a projective plane intersect in one and only one point.
Another closely related manifold is the real projective plane.
The smallest projective plane has order two and is known as the Fano plane.
This example is known as the projective plane of order three.
The geometric view of a central collineation is easiest to see in a projective plane.
The curve is first interpreted in the projective plane using homogeneous coordinates.
Every affine plane can be uniquely extended to a projective plane.
The Fano plane is the projective plane arising from the field of two elements.
These lines are now interpreted as points in the projective plane.
Let P denote a projective plane of order n.
This is also one of the standard models of the real projective plane.
Let Î be a projective plane of order n.
Another group of regular polyhedra comprise tilings of the real projective plane.
The projective plane C in this definition need not be a Desarguesian plane.
Any connected sum involving a real projective plane is nonorientable.
The restricted planes given in this manner more closely resemble the real projective plane.
The associated projective plane is consequently non-desarguesian as well.
This results in a projective plane.
The Thomsen figure plays an essential role coordinatising an axiomatic defined projective plane.
A real projective plane has non-orientable genus one.
Often a relation does not easily fit the projective plane construct.
Our generalized projective plane procedures develop n-way coverage as follows.
A new algebraic method for the investigation of vectorbundles on the projective plane.
In mathematics, a projective plane is a geometric structure that extends the concept of a plane.
The second one concerns holomorphic dynamics in the complex projective plane.
The ( real ) projective plane is the quotient space of by the collinearity relation.
The Veronese surface is an embedding of the projective plane in.
Among closed surfaces, the real projective plane is the simplest non-orientable such surface.
The Boy surface mentioned in the introduction is a model of the projective plane.
The condition, that the geometric operations of a projective plane are complex analytic, is very restrictive.
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Examples of using Plane
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I want a plane with five hours of fuel
You guys are supposed to be on the plane now
There is a big plane of tuna right here
Examples of using Projective
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A smooth curve is projective if and only if it is complete
Projective curves are frequently studied for themselves
Euclid geometry from a projective point of view
