Line
Summary
A line is a straight figure of dimension one that extends without end in both directions. In a Euclidean space, through each two distinct points there is exactly one line.
Where this leads
31 pages build on this one.
- Distance from a point to a line
- Menelaus's theorem
- Directrix
- Tangent line to a circle
- Parabola
- Ceva's theorem
- Intercept theorem
- Orthocentre
- Incentre
- Altitude of a triangle
- Normal vector
- Non-Euclidean geometry
- Parallel postulate
- Perspective projection
- Orthocentric system
- Crofton formula
- Birkhoff's axioms
- Integral geometry
- Simson line
- Beck's theorem
- Radical axis
- Laguerre geometry
- Pasch's axiom
- Ordered geometry
- Playfair's axiom
- Shape derivative
- Barbier's theorem
- Hilbert's fourth problem
- Affine plane
- Blaschke–Lebesgue theorem
- Hilbert's axioms
Further reading
- Web https://en.wikipedia.org/wiki/Line_(geometry), lead section
About this page
| Tag | 0MP9BCF6DP |
|---|---|
| URI | m2://0MP9BCF6DP |
| Aliases | straight-line |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51N20 |
| Specializes | Affine subspace |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Used by
- Distance from a point to a line
- Menelaus's theorem
- Directrix
- Tangent line to a circle
- Parabola
- Ceva's theorem
- Intercept theorem
- Orthocentre
- Altitude of a triangle
- Normal vector
- Non-Euclidean geometry
- Parallel postulate
- Perspective projection
- Crofton formula
- Birkhoff's axioms
- Integral geometry
- Simson line
- Beck's theorem
- Radical axis
- Laguerre geometry
- Pasch's axiom
- Ordered geometry
- Playfair's axiom
- Hilbert's fourth problem
- Hilbert's axioms