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Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals

✍ Scribed by François Lamarche; Claude Leroy

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
490 KB
Volume
59
Category
Article
ISSN
0010-4655

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✦ Synopsis

We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei.

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