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Ugly notation again...
What the heck are a,b,c,x,y,t,alpha,beta,gamma, delta...
The half of the math is ditched here.
GGinFra 3 months ago
The parameterisation was developed using sin ,cos,tan ; it is really t= tan (theta/2).
there theta is the angle at A .
isilder 1 year ago
how is this parametrization derived?
oboeizzle 1 year ago
There should be a million hits on this one! Great explanation, and I'm not even a mathematician.
qigong1001 3 years ago
How does this relate to a riemann sphere?
brentsykes 3 years ago
I think your question has several possible directions. It is not hard to extend the rational parametrization to that of a sphere. The rational parametrization is also related to the classical Cayley transform.
njwildberger 3 years ago
In "usual" trigonometry, t is also the tangent function of the angle between lines AO and AC.
Can you interpret this in terms of a spread?
catalecticant 3 years ago