Hi,
Aaron Keesing 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:
Too complex?
Matt, I looked at your volume computation PDF, but surely there must be
some easier way of calculating the volume. Are you not able to find the
volume by integration of cross-sectional area. Using basic calculus, I
integrated the function for cross-sectional area from 0 to h/2 (if hyp is
oriented in z and has center at 0), then multiplied this by 2 to get the
formula:
V = pi*a*b*h*(1 + (h^2)/(12*c^2)).
This was using the standard formula for a hyperboloid of x^2/a^2 + y^2/b^2
- z^2/c^2 = 1; the formula described in hyp.c has a slightly different
formula. But the formula for the volume should still be somewhat similar.
Greetings,
The Google Open Source Programs Team
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