145 reputation
4
bio website sadakatsu.com
location Westernport, MD
age 29
visits member for 2 years, 9 months
seen May 17 at 4:42

Sep
11
comment General Formula for Volume of Spherical Triangle
I scanned the paper again and caught the dot product formula written using this notation. $\vec{a}$ is a vector and $a$ is that vector's magnitude.
Sep
11
comment General Formula for Volume of Spherical Triangle
@achillehui I have now read that paper; it's over my head. If I understand their formula correctly, the numerator is the absolute value of the dot product of the first vector with the cross product of the other two, the letters without the vector bars are the great-circle arcs forming the triangle, and then I can use this $\Omega$ to calculate the volume I want by $\frac{\Omega}{3}(r^3-(r-1)^3)$?
Jan
26
comment How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
Your answer helped me to figure out the equations on the original page I found. Are your equations the same as those on that page, or am I mistaken?
Jan
26
comment How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
After some more research, I realized that the equations on that page are using Cramer's rule... those are the determinants of the matrices, not the matrices themselves.