Namespaces
Variants
Actions

Difference between revisions of "Cylindroid"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(TeX)
 
Line 1: Line 1:
A [[Developable surface|developable surface]] for which the set of points of intersection of the generators with each of two parallel planes <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c027/c027660/c0276601.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c027/c027660/c0276602.png" /> 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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c027/c027660/c0276603.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c027/c027660/c0276604.png" /> with it.
+
{{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=13778
This article was adapted from an original article by I.Kh. Sabitov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article