section formula

or ratio theorem,
n. (Geometry) the theorem that if a point P divides a directed line segment, , in the ratio m :n, then the position vector, p, of P, can be expressed in terms of those of A and B as

section formula

or ratio theorem,
n. (Geometry) the theorem that if a point P divides a directed line segment, , in the ratio m :n, then the position vector, p, of P, can be expressed in terms of those of A and B as