Hi,

Matt S. has left the following comment at Implement a primitive volume function ... for hyperboloids of one sheet (HYP) http://www.google-melange.com/gci/task/view/google/gci2012/7987216:


There probably is an easier way


But I don't think it's what you've suggested. Maybe it is though. Let's investigate, shall we?

You're saying that youor volume element is:

dV = A(z)dz

=\pi * r1(z) * r2(z) * dz

where r1(z) and r2(z) are the major and minor axes of the ellipse, determined via

(x^2 / a^2) + (y^2 / b^2) - (z^2/c^2) = 1

and your'e saying this leads to your provided formula for V? Please do show me how--I'm not saying you're incorrect, I'm saying I don't have time this minute to work through the computations right now. And I won't have the time in the next while either...

Cheers!


Greetings,
The Google Open Source Programs Team


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