- (see
section History). Any
semicubical parabola ( t 2 , a t 3 ) {\displaystyle (t^{2},at^{3})} is
similar to the
semicubical unit
parabola ( u 2 , u 3...
- Y2−89r(X−r)3+O(Y8/3)=0{\displaystyle Y^{2}-{\frac {8}{9r}}(X-r)^{3}+O(Y^{8/3})=0}, a
semicubical parabola. For the
second type,
consider the
curve y=x3{\displaystyle...
-
Cissoid of
Diocles Conchoid of de
Sluze Cubic with
double point Strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen...
- A cusp in the
semicubical parabola y 2 = x 3 {\displaystyle y^{2}=x^{3}}...
-
include the catenary, circle, cycloid,
logarithmic spiral, parabola,
semicubical parabola and
straight line. The lack of a
closed form
solution for the...
- motion) and four with non-zero
torsions (uniform rotation, catenary,
semicubical parabola,
general case): Case κ 1 = κ 2 = κ 3 = 0 {\displaystyle \kappa...
- A cusp in the
semicubical parabola y 2 = x 3 {\displaystyle y^{2}=x^{3}}...
- of
Descartes Cissoid of
Diocles Conchoid of de
Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen...
-
constant of integration. The
characteristics thus
comprise two
families of
semicubical parabolas, with
cusps on the line x = 0, the
curves lying on the right...
- evolute. (In the diagram: The blue
parabola is an
involute of the red
semicubic parabola,
which is
actually the
evolute of the blue parabola.)
Proof of...
