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

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

Here you will find one or more explanations in English for the word semicubical parabola. Also in the bottom left of the page several parts of wikipedia pages related to the word semicubical parabola and, of course, semicubical parabola synonyms and on the right images related to the word semicubical parabola.

## 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 defined by an equation of the form (A) y 2 − a 2 x 3 = 0 , a > 0 ...
- {\vec {c}}(t)=({\tfrac {t^{3}}{3}},{\tfrac {t^{2}}{2}})} describes a semicubical parabola. From c → ′ ( t ) = ( t 2 , t ) {\displaystyle {\vec {c}}'(t)=(t^{2}...
- 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...
- Ellipse Parabola Hyperbola Unit hyperbola Cubic parabola Folium of Descartes Cissoid of Diocles Conchoid of de Sluze Right strophoid Semicubical parabola Serpentine...
- include the catenary, circle, cycloid, logarithmic spiral, parabola, semicubical parabola and straight line. The lack of a closed form solution for the...
- of Diocles Conchoid of de Sluze Cubic with double point 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:...
- integration. The characteristics thus comprise two families of semicubical parabolas, with cusps on the line x = 0, the curves lying on the right hand...
- An ordinary cusp at (0, 0) on the semicubical parabola x3–y2=0...
- solution of the problem to rectify (i.e., find the length of) the semicubical parabola x3 = ay2, which had been discovered in 1657 by his pupil William...