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Classroom Notes

A proof of the butterfly theorem by an argument from statics

Pages 1281-1284 | Received 15 Feb 2017, Published online: 04 May 2017

References

  • Coxeter HSM, Greitzer SL. Geometry revisited. Washington (DC): Mathematical Association of America; 1967.
  • Bogomolny A. The butterfly theorem. Available from: http://www.cut-the-knot.org/pythagoras/ Butterfly.shtml
  • Donolato C. A proof of the butterfly theorem using Ceva's theorem. Forum Geom. 2016;16:185–186.
  • Celli M. A proof of the butterfly theorem using the similarity factor of the two wings. Forum Geom. 2016;16:337–338.
  • Hung TQ. Another synthetic proof of the butterfly theorem using the midline in triangle. Forum Geom. 2016;16:345–346.
  • Hanna G, Jahnke HN. Arguments from physics in mathematical proofs: an educational perspective. For Learn Math. 2002;22(3):38–45.
  • Man YK. A simple proof of the generalized Ceva theorem by the principle of equilibrium. Int J Math Educ Sci Technol. 2007;38(4):566–569.
  • Goodman LE, Warner WH. Statics. New York (NY): Dover Publications; 2001.
  • Stewart J. Essential Calculus. 2nd ed. Belmont (CA): Brooks/Cole, Cengage Learning; 2013.

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