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Cubical Parabolic Hyperbola


An equation of the form


where two of the Roots of the equation coincide (and all three are therefore real), i.e.,
$\displaystyle y$ $\textstyle =$ $\displaystyle a(x-r_1)^2(x-r_2)$  
  $\textstyle =$ $\displaystyle a[x^3-(2r_1+r_2)x^2+r_1(r_1+2r_2)x-{r_1}^2r_2].$  

See also Cubical Conic Section, Cubical Ellipse, Cubical Hyperbola, Cubical Parabola, Hyperbola

© 1996-9 Eric W. Weisstein