Radius of Curvature (applications) - Formula

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:

    I cannot give you the formula for success, but I can give you the formula for failure—which is: Try to please everybody.
    Herbert B. Swope (1882–1958)

    So, if we must give a general formula applicable to all kinds of soul, we must describe it as the first actuality [entelechy] of a natural organized body.
    Aristotle (384–323 B.C.)

    I feel like a white granular mass of amorphous crystals—my formula appears to be isomeric with Spasmotoxin. My aurochloride precipitates into beautiful prismatic needles. My Platinochloride develops octohedron crystals,—with a fine blue florescence. My physiological action is not indifferent. One millionth of a grain injected under the skin of a frog produced instantaneous death accompanied by an orange blossom odor.
    Lafcadio Hearn (1850–1904)