A cubical parabola is defined by an equation of the form
 |
(1)
|
where the three roots of the equation coincide (and are
therefore real), i.e.,
 |
(2)
|
Loomis (1968, p. 28) considers a cubical parabola of the form
 |
(3)
|
which can be used for angle trisection.
See also
Cubical Ellipse,
Cubical Hyperbola,
Cubical Parabolic Hyperbola,
Parabola,
Semicubical
Parabola
Explore with Wolfram|Alpha
References
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 215
and 223, 1987.Loomis, E. S. "The Cubic Parabola." §2.6
in The
Pythagorean Proposition: Its Demonstrations Analyzed and Classified and Bibliography
of Sources for Data of the Four Kinds of "Proofs," 2nd ed. Reston,
VA: National Council of Teachers of Mathematics, pp. 28-29, 1968.Referenced
on Wolfram|Alpha
Cubical Parabola
Cite this as:
Weisstein, Eric W. "Cubical Parabola."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CubicalParabola.html
Subject classifications
