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Particularly since Wikipedia already has the quadric equation for a specific position, so all you have to do is apply translation and rotation to their formula. The default position is given as …

2015年6月7日 · The radius of those circles is in average b, but it can be as much as b+a (outer ridge of the torus) and as little as b-a (inner ridge of the torus). For any s, the radius of the …

2016年5月11日 · That formula won't work for say $\mathbb RP^2 \times \mathbb RP^2$. Anyway, that formula does work for coefficients in a field, since all modules over a field are free. To …

2020年10月18日 · Simply put, this exterior surface is associated with the torus. If the inside of the toroidal surface is filled with a fluid then the volume is associated with the solid torus. Sections …

2016年8月22日 · What, if any, is the formula to calculate the volume of a torus given the circumference of the tube and the outer circumference of the ring?

For a calculus question I need to parameterise the surface of the torus generated by rotating the circle ...

And how to derive the torus equation for a rotated torus like the ones in the following image? EDIT: I would appreciate if someone with enough reputation can create a "torus" tag and tag …

2017年12月8日 · I managed to find the volume of a torus by solids of revolution, using the washers method. Can the same method be applied for finding an expression for the surface …

2015年6月29日 · I have been trying to find the surface area of the torus generated by the rotation of $(x-R)^2 + y^2 = r^2$ about the y axis.