Maxwell's theorem (geometry): Difference between revisions
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== References == |
== References == |
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* [[Daniel Pedoe]]: ''Geometry: A Comprehensive Course''. Dover, 1970, pp. 35–36, 114–115 |
* [[Daniel Pedoe]]: ''Geometry: A Comprehensive Course''. Dover, 1970, pp. 35–36, 114–115 |
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* Daniel Pedoe: |
* 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 ([https://www.jstor.org/stable/2315813 JSTOR]) |
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*Dao Thanh Oai, Cao Mai Doai, Quang Trung, Kien Xuong, Thai Binh: [http://www.journal-1.eu/2016-3/Dao-Thanh-Oai-Generalizations-pp.12-20.pdf |
*Dao Thanh Oai, Cao Mai Doai, Quang Trung, Kien Xuong, Thai Binh: [http://www.journal-1.eu/2016-3/Dao-Thanh-Oai-Generalizations-pp.12-20.pdf "Generalizations of some famous classical Euclidean geometry theorems."] ''International Journal of Computer Discovered Mathematics'', Vol. 1, No. 3, pp. 13–20 |
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== External links == |
== External links == |
Revision as of 17:26, 31 August 2019
Maxwell's theorem is the following statement about triangles in the plane.
- For a given triangle and a point not on the sides of that triangle construct a second triangle , such that die the side is parallel to the line segment , the side is parllel to the line segment and the side is parallel to the line segment . Then the parallel to through , the parallel to through and the parallel to through 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.
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
Wikimedia Commons has media related to Maxwell's theorem.
- Maxwell's Theorem at cut-the-knot.org