Euclidean distance
Summary
The Euclidean distance between two points of a Euclidean space is the length of the line segment that joins them. In Cartesian coordinates, the Pythagorean theorem gives a formula for it.
Where this leads
56 pages build on this one.
- Power of a point
- Distance from a point to a line
- Similar triangles
- Perpendicular bisector
- Circle
- Isosceles triangle theorem
- Ptolemy's theorem
- Law of cosines
- Directrix
- Angle bisector theorem
- Side-side-side congruence
- Parabola
- Ellipse
- Intersecting secants theorem
- Concyclic points
- Distance from a point to a plane
- Intercept theorem
- Apollonius's theorem
- Euclidean isometry
- Hyperbola
- Law of sines
- Tangent–secant theorem
- Circumcentre
- Incentre
- Regular polygon
- Pythagorean theorem
- Congruent triangles
- Altitude of a triangle
- Intersecting chords theorem
- Thomson problem
- Erdős–Mordell inequality
- Joukowsky transform
- Radial basis function
- Erdős distinct distances problem
- Inverse distance weighting
- Analytic geometry
- Congruence criteria for triangles
- Riesz kernel energy
- Hyperbolic law of cosines
- Euclid's Elements
- Moving least squares
- Voronoi diagram
- Unit distance problem
- Erdős–Anning theorem
- Hilbert metric
- Kissing number
- Stewart's theorem
- Sphere
- Similarity transformation
- k-means clustering
- Multidimensional scaling
- Beckman–Quarles theorem
- Fermat point
- Hadwiger–Nelson problem
- Osculating circle
- Voronoi cell
Further reading
- Web https://en.wikipedia.org/wiki/Euclidean_distance, lead section
About this page
| Tag | 0NPPGHQNXQ |
|---|---|
| URI | m2://0NPPGHQNXQ |
| Aliases | distance-between-two-points |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51N20 |
| 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
- Power of a point
- Distance from a point to a line
- Similar triangles
- Perpendicular bisector
- Circle
- Isosceles triangle theorem
- Ptolemy's theorem
- Law of cosines
- Angle bisector theorem
- Side-side-side congruence
- Parabola
- Ellipse
- Intersecting secants theorem
- Concyclic points
- Distance from a point to a plane
- Intercept theorem
- Apollonius's theorem
- Euclidean isometry
- Hyperbola
- Law of sines
- Tangent–secant theorem
- Circumcentre
- Incentre
- Regular polygon
- Pythagorean theorem
- Congruent triangles
- Intersecting chords theorem
- Thomson problem
- Erdős–Mordell inequality
- Radial basis function
- Erdős distinct distances problem
- Inverse distance weighting
- Analytic geometry
- Congruence criteria for triangles
- Riesz kernel energy
- Moving least squares
- Voronoi diagram
- Unit distance problem
- Erdős–Anning theorem
- Hilbert metric
- Kissing number
- Stewart's theorem
- Sphere
- Similarity transformation
- k-means clustering
- Multidimensional scaling
- Beckman–Quarles theorem
- Fermat point
- Hadwiger–Nelson problem
- Voronoi cell