Formulas
The formula for determining the midpoint of two points x1 and x2 on a line is:
The formula for determining the midpoint of a segment in the plane, with endpoints (x1, y1) and (x2, y2) in Cartesian coordinates, is:
The formula for determining the midpoint of a segment in the space, with endpoints (x1, y1, z1) and (x2, y2, z2) is:
More generally, for an n-dimensional space with axes, the midpoint of an interval is given by:
Read more about this topic: Midpoint
Famous quotes containing the word formulas:
“That’s the great danger of sectarian opinions, they always accept the formulas of past events as useful for the measurement of future events and they never are, if you have high standards of accuracy.”
—John Dos Passos (1896–1970)
“You treat world history as a mathematician does mathematics, in which nothing but laws and formulas exist, no reality, no good and evil, no time, no yesterday, no tomorrow, nothing but an eternal, shallow, mathematical present.”
—Hermann Hesse (1877–1962)
“It is sentimentalism to assume that the teaching of life can always be fitted to the child’s interests, just as it is empty formalism to force the child to parrot the formulas of adult society. Interests can be created and stimulated.”
—Jerome S. Bruner (20th century)