(law) A legal principle usually expressed in Latin, traditionally used to concisely express a wider legal concept or rule.

plural of brocard

A surname.

plural of Brocard triangle

plural of Brocard point

The triangle formed by joining the points of intersection of the lines from each vertex of a triangle to its Brocard points.

(mathematics) The point inside a triangle at the intersection of the lines through each vertex such that the angle between the line and the side of the triangle when moving clockwise is the same for each vertex.

(mathematics) The problem of finding integer values of n and m for which n!+1=m², where n! is the factorial.

(number theory) The conjecture that there are at least four prime numbers between (pₙ)² and (pₙ₊₁)², where pₙ is the nth prime number, for every n ≥ 2.