Maxwell's theorem (geometry)

Maxwell's theorem is the following statement about triangles in the plane.

For a given triangle

not on the sides of that triangle construct a second triangle

is parallel to the line segment

is parallel to the line segment

is parallel to the line segment

{\displaystyle AV}

intersect in a common point

.The theorem is named after the physicist James Clerk Maxwell (1831–1879), who proved it in his work on reciprocal figures, which are of importance in statics.

Line segments with identical markings are parallel.
If the sides of the triangle are parallel to the according cevians of triangle , which are intersecting in a common point , then the cevians of triangle , which are parallel to the according sides of triangle intersect in a common point as well