“Envelope”的概念、定义、习题解题方法及翻译-数学辞典

单词

Envelope

释义

Envelope

The envelope of a one-parameter family of curves given implicitly by

(1)

or in parametric form by

, is a curve which touches every member of the family. For a curve representedby

, the envelope is found by solving

(2)

For a curve represented implicitly, the envelope is given by simultaneously solving

(3)

(4)

See also Astroid, Cardioid, Catacaustic, Caustic, Cayleyian Curve, Dürer'sConchoid, Ellipse Envelope, Envelope Theorem, Evolute, Glissette,Hedgehog, Kiepert's Parabola, Lindelof's Theorem, Negative Pedal Curve

References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 33-34, 1972.

Lee, X. ``Envelope.''http://www.best.com/~xah/SpecialPlaneCurves_dir/Envelope_dir/envelope.html.

Yates, R. C. ``Envelopes.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 75-80, 1952.

随便看

数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。