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Some triangle theorems by complex numbers
Published online by Cambridge University Press: 11 October 2023
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The following theorems appear in [1, pp. 62-63]: Theorem 1 If similar triangles A1B0C0, A0B1C0, A0B0C1 are erected externally on the sides of ΔA0B0C0, then the circumcircles of these three triangles have a common point, F.
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- © The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association
References
Coxeter, H. S. M. and Greitzer, S. L., Geometry revisited, The Mathematical Association of America (1967).CrossRefGoogle Scholar
Leversha, Gerry, The geometry of the triangle, The United Kingdom Mathematics Trust (2013).Google Scholar
Suzuki, Fukuzo, Generalisations of the Napoleon theorems, and triangles circumscribing a given triangle, Math. Gaz. 92 (March 2008), pp. 115–124.CrossRefGoogle Scholar
Čerin, Zvonko, On Napoleon triangles and propellor theorems, Math. Gaz. 87 (March 2003), pp. 42–50.CrossRefGoogle Scholar
Silvester, John R., Extensions of a theorem of Van Aubel, Math. Gaz. 90 (March 2006), pp. 2–12.CrossRefGoogle Scholar