Difference between revisions of "Cylindroid"
From Encyclopedia of Mathematics
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− | A [[Developable surface|developable surface]] for which the set of points of intersection of the generators with each of two parallel planes | + | {{TEX|done}} |
+ | A [[Developable surface|developable surface]] for which the set of points of intersection of the generators with each of two parallel planes $\pi_1$ and $\pi_2$ is a simple closed curve. A cylindroid is said to be closed if it is bounded by the two plane domains interior to the curves of intersection of planes $\pi_1$ and $\pi_2$ with it. |
Latest revision as of 16:40, 11 April 2014
A developable surface for which the set of points of intersection of the generators with each of two parallel planes $\pi_1$ and $\pi_2$ is a simple closed curve. A cylindroid is said to be closed if it is bounded by the two plane domains interior to the curves of intersection of planes $\pi_1$ and $\pi_2$ with it.
How to Cite This Entry:
Cylindroid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cylindroid&oldid=31515
Cylindroid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cylindroid&oldid=31515
This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article