Maxwell's theorem (geometry)

Line segments with identical markings are parallel.
If the sides of the triangle$A^{\prime }{B}^{\prime }{C}^{\prime }$ are parallel to the according cevians of triangle $ABC$, which are intersecting in a common point $V^{\prime }$, then the cevians of triangle $A^{\prime }{B}^{\prime }{C}^{\prime }$, which are parallel to the according sides of triangle $ABC$ intersect in a common point $V^{\prime }$ as well

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

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.

References

• Daniel Pedoe: Geometry: A Comprehensive Course. Dover, 1970, pp. 35–36, 114–115
• Daniel Pedoe: "On (what should be) a Well-Known Theorem in Geometry." The American Mathematical Monthly, Vol. 74, No. 7 (August – September, 1967), pp. 839–841 (JSTOR)
• Dao Thanh Oai, Cao Mai Doai, Quang Trung, Kien Xuong, Thai Binh: "Generalizations of some famous classical Euclidean geometry theorems." International Journal of Computer Discovered Mathematics, Vol. 1, No. 3, pp. 13–20

External links

• Maxwell's Theorem at cut-the-knot.org