In geometry, the isoperimetric point is a triangle center — a special point associated with a plane triangle. The term was originally introduced by G.R. Veldkamp in a paper published in the American Mathematical Monthly in 1985 to denote a point P in the plane of a triangle △ABC having the property that the triangles △PBC, △PCA, △PAB have equal perimeters, that is, having the property that P B ¯ + B C ¯ + C P ¯ , = P C ¯ + C A ¯ + A P ¯ , = P A ¯ + A B ¯ + B P ¯ .
In geometry, the isoperimetric point is a triangle center — a special point associated with a plane triangle. The term was originally introduced by G.R. Veldkamp in a paper published in the American Mathematical Monthly in 1985 to denote a point P in the plane of a triangle △ABC having the property that the triangles △PBC, △PCA, △PAB have equal perimeters, that is, having the property that P B ¯ + B C ¯ + C P ¯ , = P C ¯ + C A ¯ + A P ¯ , = P A ¯ + A B ¯ + B P ¯ .
Source: Wikipedia "Isoperimetric point" · CC BY-SA 4.0
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