432
UNPUBLISHED FRAGMENTS.
or, writing for the constant
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[The terms disappear in the algebraic sum since . For a similar reason]
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The first equation makes constant throughout the tube, and since must be constant throughout the tube. The second equation then makes constant throughout the tube. Let
Our original equation is
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Now with constant this is easily integrated.
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To determine we have
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If we put the origin of coordinates in the middle of the tube we have
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