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单词 Dupin's Indicatrix
释义

Dupin's Indicatrix

A pair of conics obtained by expanding an equation in Monge's Form in a Maclaurin Series




This gives the equation


Amazingly, the radius of the indicatrix in any direction is equal to the Square Root of the Radius ofCurvature in that direction (Coxeter 1969).


References

Coxeter, H. S. M. ``Dupin's Indicatrix'' §19.8 in Introduction to Geometry, 2nd ed. New York: Wiley, pp. 363-365, 1969.

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更新时间:2025/2/22 21:26:02