Dynamic Geometry Problem 1447: Outer Vecten Point
Given a triangle ABC with three squares erected externally on the sides AB, AC, and BC with centers P, O, and Q, respectively. Then (1) the lines AQ, BO, and CP are concurrent at a point V, called the outer Vecten point of the triangle ABC. (2) AQ is equal and perpendicular to PO, BO is equal and perpendicular to PQ, CP is equal and perpendicular to OQ.
In 1817,
M. Vecten,
was a French Mathematician, who taught mathematics with Gergonne in Nımes,France.
The
outer Vecten point is the point X(485) in
Clark Kimberling's Encyclopedia of Triangle Centers.
Static Diagram of the outer Vecten point of a triangle
Poster of the Outer Vecten Point using iPad Apps
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