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Tangent Spheres and Triangle Centers (2001)  (Make Corrections)  
David Eppstein



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Abstract: 9.47> XX= 1 2 (-a + d + f ), YY = 1 2 (a - d + f ), ZZ= 1 2 (a + d - f ), XY =-b, XZ =-c, YZ=-e. Note that YY + ZZ = a, XX+ ZZ = d , XX+ YY = f . Then observe that every (necessarily real) eigenvalue of a real symmetric matrix is associated with a real eigenvector. This note is dedicated to Gus Watts (1916--2000), a retired aeronautical engineer, who died shortly after crafting for the author a tetrahedron of solid poplar through which holes were bored by a sp (Update)

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BibTeX entry:   (Update)

@misc{ eppstein-tangent,
  author = "David Eppstein",
  title = "Tangent Spheres and Triangle Centers",
  url = "citeseer.ist.psu.edu/eppstein01tangent.html" }
Citations (may not include all citations):
2   Triangle Centers and Central Triangles (context) - Kimberling - 1998
1   Modern Pure Solid Geometry (context) - Altshiller-Court - 1964
1   and possible transfiguration of triangle geometry: a mini-hi.. (context) - Davis, rise - 1995
1   The Euler-Gergonne-Soddy triangle of a triangle (context) - Oldknow - 1996
1   A theorem concerning Soddy-circles (context) - Veldkamp - 1966

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