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Some further results for the cylinder-sphere intersection

✍ Scribed by M. Robinson

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
131 KB
Volume
7
Category
Article
ISSN
0308-0161

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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

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v a2u -T -(1 + 88 ay----z . The coefficient of the inertia term in equation ( ) should read (1 -v2)p/E. In equations ( ) and ( ), the term (1 + 88 should be replaced by (I + 4~H). This correction slightly modifies the numbers given in the last column of Table , preceded by the letter T. They become