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Napolean's Theorem

Eunmi. Mandy. Napolean's Theorem. Julia. Amelia. ~is said to be one of the most-often rediscovered results in mathematics . ~earliest appearance of this theorem was said to be is an 1825 article by Dr. W. Rutherford in "The Ladies Diary“. Although he was probably not the first discoverer. .

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Napolean's Theorem

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  1. Eunmi Mandy Napolean's Theorem Julia Amelia

  2. ~is said to be one of the most-often rediscovered results in mathematics ~earliest appearance of this theorem was said to be is an 1825 article by Dr. W. Rutherford in "The Ladies Diary“. Although he was probably not the first discoverer. HISTORY ~The theorem is named after Napoleon Bonaparte, although he was not the first to discover it but apparently found it independently and so it bears his name. http://www.mathpages.com/home/kmath270/kmath270.htm

  3. Napolean's Theorem States: If we construct equilateral triangles on the sides of any triangle - all outward or all inward - the centers of those equilateral triangles themselves form an equilateral triangle. http://www.mathpages.com/HOME/kmath270/kmath270.htm

  4. Napoleon's Theorem is very similar to that of Van Aubel’s theorem which states that: Given a quadrilateral, place a square outwardly on each side, and connect the centers of opposite squares. Then the two lines are of equal length and cross at a right angle. http://mathworld.wolfram.com/vanAubelsTheorem.html

  5. Outer Napolean Triangle

  6. Inner Napolean Triangle

  7. http://www.cut-the-knot.org/proofs/napoleon.shtml

  8. History: http://www.mathpages.com/home/kmath270/kmath270.htm Van Aubel’s Theorem: http://mathworld.wolfram.com/vanAubelsTheorem.html Napoleon’s Theorem: http://www.mathpages.com/HOME/kmath270/kmath270.htm Proof of Napoleon’s Theorem: http://www.cut-the-knot.org/proofs/napoleon.shtml Internet Sources for P. Point

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