Geometry Affine geometry Concept
Collinear points
Summary
Points are collinear when one line contains all of them. Three points that are not collinear are the vertices of a triangle.
Where this leads
28 pages build on this one.
- Menelaus's theorem
- Triangle
- Ceva's theorem
- Euler line
- Desargues configuration
- Moulton plane
- Collineation
- Orthocentric system
- Desargues's theorem
- Triangulation of a point set
- Finite Desarguesian planes are Pappian
- Pascal's theorem
- Projective plane
- Polygon
- Pappus's hexagon theorem
- Simson line
- Beck's theorem
- Projective geometry
- Erdős–Anning theorem
- Non-Desarguesian plane
- Desarguesian plane
- Veblen–Young theorem
- Moufang plane
- Octonionic projective plane
- No-three-in-line problem
- Pappus configuration
- Fundamental theorem of affine geometry
- Affine plane
Further reading
- Web https://en.wikipedia.org/wiki/Collinearity, lead section
About this page
| Tag | 0AFNNTRTJE |
|---|---|
| URI | m2://0AFNNTRTJE |
| Aliases | collinearity |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51N10 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Used by
- Menelaus's theorem
- Triangle
- Ceva's theorem
- Euler line
- Collineation
- Desargues's theorem
- Triangulation of a point set
- Pascal's theorem
- Projective plane
- Polygon
- Pappus's hexagon theorem
- Simson line
- Beck's theorem
- Projective geometry
- Erdős–Anning theorem
- Desarguesian plane
- Moufang plane
- No-three-in-line problem
- Fundamental theorem of affine geometry
- Affine plane