Question Number 115013 by mathdave last updated on 23/Sep/20
$${consider}\:{the}\:{change}\:{in}\:{the}\:{direction}\:{of} \\ $$$${a}\:{curve}\:{W}={f}\left(\theta\right)\:{between}\:{point}\:{A}\:{and} \\ $$$${B}.\:{Derive}\:{from}\:{first}\:{principle}\:{an} \\ $$$${expression}\:{for}\:{the}\:{radius}\:{of}\:{curvature} \\ $$$${R}\:{for}\:{the}\:{hyperbola} \\ $$