- determined. One of the
catacaustics of a
parabola is
still known as
Tschirnhausen cubic. In 1696,
Johann Bernoulli posed the
problem of the brachistochrone...
- In
algebraic geometry, the
Tschirnhausen cubic, or Tschirnhaus'
cubic is a
plane curve defined, in its left-opening form, by the
polar equation r = a...
- In mathematics, a
Tschirnhaus transformation, also
known as
Tschirnhausen transformation, is a type of
mapping on
polynomials developed by Ehrenfried...
-
Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen cubic Witch of
Agnesi Ampersand curve Bean
curve Bicorn Transformed...
-
Trisectrix of
Maclaurin Equilateral trefoil (a.k.a. Longchamps' Trisectrix)
Tschirnhausen cubic (a.k.a. Catalan's
trisectrix and L'Hôpital's cubic) Durer's folium...
-
Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen cubic Witch of
Agnesi Ampersand curve Bean
curve Bicorn Bow
curve Bullet-nose...
-
tangent parallel to one of the
coordinate axes. For example, for the
Tschirnhausen cubic,
there are two
infinite arcs
having the
origin (0,0) as of endpoint...
- including:
Rectangular hyperbola (n = −2) Line (n = −1)
Parabola (n = −1/2)
Tschirnhausen cubic (n = −1/3) Cayley's ****tet (n = 1/3)
Cardioid (n = 1/2) Circle...
-
Cycloid of Ceva,
Quadratrix of Hippias,
Trisectrix of Maclaurin, and
Tschirnhausen cubic. The limaçon
trisectrix a
special case of a
sectrix of Maclaurin...
-
Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen cubic Witch of
Agnesi Quartic plane curves include Ampersand curve Bean...
