Affine geometry & Pappus's hexagon theorem - Unionpedia, the concept map

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

Difference between Affine geometry and Pappus's hexagon theorem

Affine geometry vs. Pappus's hexagon theorem

In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that.

Affine transformation

In Euclidean geometry, an affine transformation or affinity (from the Latin, affinis, "connected with") is a geometric transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles.

Affine geometry and Affine transformation · Affine transformation and Pappus's hexagon theorem · See more »

Collinearity

In geometry, collinearity of a set of points is the property of their lying on a single line.

Affine geometry and Collinearity · Collinearity and Pappus's hexagon theorem · See more »

Configuration (geometry)

In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such that each point is incident to the same number of lines and each line is incident to the same number of points.

Affine geometry and Configuration (geometry) · Configuration (geometry) and Pappus's hexagon theorem · 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.

Affine geometry and Desargues's theorem · Desargues's theorem and Pappus's hexagon theorem · See more »

Non-Desarguesian plane

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

Affine geometry and Non-Desarguesian plane · Non-Desarguesian plane and Pappus's hexagon theorem · See more »

Pappus of Alexandria

Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection, and for Pappus's hexagon theorem in projective geometry.

Affine geometry and Pappus of Alexandria · Pappus of Alexandria and Pappus's hexagon theorem · See more »

Parallel (geometry)

In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point.

Affine geometry and Parallel (geometry) · Pappus's hexagon theorem and Parallel (geometry) · See more »

Wiley (publisher)

John Wiley & Sons, Inc., commonly known as Wiley, is an American multinational publishing company that focuses on academic publishing and instructional materials.

Affine geometry and Wiley (publisher) · Pappus's hexagon theorem and Wiley (publisher) · See more »