- In mathematics, a
cuspidal cubic or
semicubical parabola is an
algebraic plane curve that has an
implicit equation of the form y 2 − a 2 x 3 = 0 {\displaystyle...
- {\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 = x 3 {\displaystyle y=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 _{1}=\kappa...
- the diagram: The blue
parabola is an
involute of the red
semicubic parabola,
which is
actually the
evolute of the blue
parabola.)
Proof of the last property:...
-
Descartes Cissoid of
Diocles Conchoid of de
Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen...
- in the
manner of Archimedes, to
rectify curves such as the cycloid, the
parabola, and
other higher order curves. The
following propositions are covered...
- A cusp in the
semicubical parabola y 2 = x 3 {\displaystyle y^{2}=x^{3}}...
-
Descartes Cissoid of
Diocles Conchoid of de
Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of
Maclaurin Tschirnhausen...
- integration. The
characteristics thus
comprise two
families of
semicubical parabolas, with
cusps on the line x = 0, the
curves lying on the
right hand...
