Spherical Cap - Application

Application

The volume of all points which are in at least one of two intersecting spheres of radii r1 and r2 is

,

where

is the total of the two isolated spheres, and

the sum of the two spherical caps of the intersection. If d 1+r2 is the distance between the two sphere centers, elimination of the variables h1 and h2 leads to

Read more about this topic:  Spherical Cap

Famous quotes containing the word application:

    The best political economy is the care and culture of men; for, in these crises, all are ruined except such as are proper individuals, capable of thought, and of new choice and the application of their talent to new labor.
    Ralph Waldo Emerson (1803–1882)

    Great abilites are not requisite for an Historian; for in historical composition, all the greatest powers of the human mind are quiescent. He has facts ready to his hand; so there is no exercise of invention. Imagination is not required in any degree; only about as much as is used in the lowest kinds of poetry. Some penetration, accuracy, and colouring, will fit a man for the task, if he can give the application which is necessary.
    Samuel Johnson (1709–1784)

    I think that a young state, like a young virgin, should modestly stay at home, and wait the application of suitors for an alliance with her; and not run about offering her amity to all the world; and hazarding their refusal.... Our virgin is a jolly one; and tho at present not very rich, will in time be a great fortune, and where she has a favorable predisposition, it seems to me well worth cultivating.
    Benjamin Franklin (1706–1790)