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Bicylindrics

From Encyclopedia of Mathematics
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Two closed curves obtained as the intersection of two cylinders the axes of which intersect at right angles. The parametric equations of bicylindrics are

$$x=a\cos t,\quad y=\pm\sqrt{b^2-a^2\sin^2t},\quad z=a\sin t,\quad b\geq a,$$

where $a$ and $b$ are the radii of the cylinders and $t$ is a parameter. If $a=b$, the bicylindrics is a pair of congruent ellipses.

How to Cite This Entry:
Bicylindrics. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bicylindrics&oldid=14612
This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article