Geodesic
Conic Solution of Euler's Triangle Determination Problem
Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 75-8 Cet article a éte moissonné depuis la source Heldermann Verlag

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We study Euler's problem of determination of a triangle from its circumcenter, orthocenter, and incenter as a problem of geometric construction. While it cannot be solved using ruler and compass, we construct the vertices by intersecting a circle with a rectangular hyperbola, both easily constructed from the given triangle centers.
Classification : 51M04, 51M15
Mots-clés : Circumcenter, orthocenter, incenter, Feuerbach point, rectangular hyperbola 
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     author = {P. Yiu },
     title = {Conic {Solution} of {Euler's} {Triangle} {Determination} {Problem}},
     journal = {Journal for geometry and graphics},
     pages = {75--8},
     year = {2008},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a6/}
}
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P. Yiu . Conic Solution of Euler's Triangle Determination Problem. Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 75-8. http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a6/