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Non-Desarguesian plane and Projective geometry

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Non-Desarguesian plane and Projective geometry

Non-Desarguesian plane vs. Projective geometry

In mathematics, a non-Desarguesian plane, named after Girard Desargues, is a projective plane that does not satisfy Desargues' theorem, or in other words a plane that is not a Desarguesian plane. Projective geometry is a topic in mathematics.

Similarities between Non-Desarguesian plane and Projective geometry

Non-Desarguesian plane and Projective geometry have 8 things in common (in Unionpedia): Conic section, David Hilbert, Desargues's theorem, Division ring, Finite geometry, Girard Desargues, Projective plane, Projective space.

Conic section

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.

Conic section and Non-Desarguesian plane · Conic section and Projective geometry · See more »

David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

David Hilbert and Non-Desarguesian plane · David Hilbert and Projective geometry · See more »

Desargues's theorem

In projective geometry, Desargues's theorem, named after Girard Desargues, states: Denote the three vertices of one triangle by and, and those of the other by and.

Desargues's theorem and Non-Desarguesian plane · Desargues's theorem and Projective geometry · See more »

Division ring

In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.

Division ring and Non-Desarguesian plane · Division ring and Projective geometry · See more »

Finite geometry

A finite geometry is any geometric system that has only a finite number of points.

Finite geometry and Non-Desarguesian plane · Finite geometry and Projective geometry · See more »

Girard Desargues

Girard Desargues (21 February 1591 – September 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry.

Girard Desargues and Non-Desarguesian plane · Girard Desargues and Projective geometry · See more »

Projective plane

In mathematics, a projective plane is a geometric structure that extends the concept of a plane.

Non-Desarguesian plane and Projective plane · Projective geometry and Projective plane · See more »

Projective space

In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.

Non-Desarguesian plane and Projective space · Projective geometry and Projective space · See more »

The list above answers the following questions

Non-Desarguesian plane and Projective geometry Comparison

Non-Desarguesian plane has 29 relations, while Projective geometry has 117. As they have in common 8, the Jaccard index is 5.48% = 8 / (29 + 117).

References

This article shows the relationship between Non-Desarguesian plane and Projective geometry. To access each article from which the information was extracted, please visit:

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