FRESNEL'S ELASTICITY SURFACE
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FRESNEL'S ELASTICITY SURFACE
| Surface studied by Fresnel.
Augustin Fresnel 1788-1827: French engineer. |
|
Cartesian equation:  ,
for the ellipsoid  .
Cartesian parametrization:  .
Quartic surface. |
Fresnel's elasticity surface is the pedal
of the ellipsoid with respect
to its center.
It is the generalization to space of Booth's
oval, and besides, the sections by the 3 symmetry planes are Booth's
ovals.
Stripped-down view along with the initial ellipsoid.
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© Robert FERRÉOL 2017