 #1
 1
 0
The volume of a conic section should be the same regardless of the coordinate system used. Thus, I have attempted to calculate the volume of a twosheeted hyperboloid in both rectangular and psuedospherical coordinates (q.v. attached pdf file). I am fairly confident the calculations in rectangular coordinates are correct, but much less so for the pseudospherical coordinates. The psuedospherical coordinates do not really represent real coordinates, rather they are mapped coordinates. Be that as it may, I would welcome someone who can identify the error(s) in my work.
Attachments

80.7 KB Views: 154