Formula
If is a parameterized curve in then the radius of curvature at each point of the curve, is given by
- .
As a special case, if f(t) is a function from to, then the curvature of its graph, is
Read more about this topic: Radius Of Curvature (applications)
Famous quotes containing the word formula:
“Every formula which expresses a law of nature is a hymn of praise to God.”
—Maria Mitchell (1818–1889)
“My formula for greatness in human beings is amor fati: that one wants to change nothing, neither forwards, nor backwards, nor in all eternity. Not merely to endure necessity, still less to hide it—all idealism is mendacity in the face of necessity—but rather to love it.”
—Friedrich Nietzsche (1844–1900)
“Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as “Thou shalt not kill” to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.”
—Robert Musil (1880–1942)