How do I find the equation of a nine point circle?
by 
Priceless0192
ANSWERS: 1
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At its core, it's still just a circle, so its equation is the same as any circle (with some extra crap): x^2 + y^2 = r^2 or x^2 + y^2 = 1 Now, since it's a fun 9-pt Circle, you have to deal with the pesky fact that it's circumscribed about a triangle. So, you'll use trilinear coordinates instead of the above equations: x^2sin 2A + y^2sin 2B + z^2sin 2C − 2(yz sin A + zx sin B + xy sin C) = 0. It's big, confusing and annoying, but that formula will always give you the equation of a nine point circle.
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