# Definition of semicubical parabola. Meaning of semicubical parabola. Synonyms of semicubical parabola

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## Definition of semicubical parabola

Semicubical parabola
Semicubical Sem`i*cu"bic*al, a. (Math.) Of or pertaining to the square root of the cube of a quantity. Semicubical parabola, a curve in which the ordinates are proportional to the square roots of the cubes of the abscissas.
semicubical parabola
Parabola Pa*rab"o*la, n.; pl. Parabolas. [NL., fr. Gr. ?; -- so called because its axis is parallel to the side of the cone. See Parable, and cf. Parabole.] (Geom.) (a) A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus. (b) One of a group of curves defined by the equation y = ax^n where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = 3/2. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

## Meaning of semicubical parabola from wikipedia

- 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...
- Descartes Cissoid of Diocles Conchoid of de Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of Maclaurin Tschirnhausen...
- 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:...
- A cusp in the semicubical parabola y 2 = x 3 {\displaystyle y^{2}=x^{3}}...
- in the manner of Archimedes, to rectify curves such as the cycloid, the parabola, and other higher order curves. The following propositions are covered...
- Descartes Cissoid of Diocles Conchoid of de Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of Maclaurin Tschirnhausen...
- Royal Society. His major mathematical work, the rectification of the semicubical parabola, was carried out when he was aged nineteen, and was published by...