Math — Curvature
How sharply a curve bends.
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\kappa = \frac{|y''|}{(1 + y'^2)^{3/2}}
R = \frac{1}{\kappa}
\kappa = \frac{|x'y'' - y'x''|}{(x'^2 + y'^2)^{3/2}}
\text{radius of the osculating circle}
How sharply a curve bends.
\kappa = \frac{|y''|}{(1 + y'^2)^{3/2}}
R = \frac{1}{\kappa}
\kappa = \frac{|x'y'' - y'x''|}{(x'^2 + y'^2)^{3/2}}
\text{radius of the osculating circle}