strophoid
[[File:Allgemeine strophoide5.svg|thumb|right|upright=1.25|Construction of a strophoid.
~6 min read
Article
11 sectionsContents
- Equations
- Polar coordinates
- Cartesian coordinates
- An alternative polar formula
- Specific cases
- Oblique strophoids
- The right strophoid
- Circles
- See also
- References
- External links
thumb|right|upright=1.25|Construction of a strophoid.
In geometry, a strophoid is a curve generated from a given curve and points (the fixed point) and (the pole) as follows: Let be a variable line passing through and intersecting at . Now let and be the two points on whose distance from is the same as the distance from to (i.e. ). The locus of such points and is then the strophoid of with respect to the pole and fixed point . Note that and are at right angles in this construction.