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CHASLES CUBIC
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red: elliptic cubic with an oval
green: acnodal cubic blue: elliptic cubic with an infinite branch yellow: crunodal cubic magenta: cuspidal cubic |
Michel Chasles (1793, 1880): French mathematician. |
Cartesian equation: Cubic. |
The homographic tranformation:
reduces this Chasles cubic to the divergent
parabola
.
Like the divergent parabolas (as well as the cubic
hyperbolas), the Chasles cubics represent the perspectives of all cubics.
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© Robert FERRÉOL 2017