Tangent Spheres and Triangle Centers (2001)
by
David Eppstein
,
Jerry B. Marion
,
Stephen T. Thornton
,
Classical Dynamics Of Particles
,
Harcourt Brace
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@MISC{Eppstein01tangentspheres,
author = {David Eppstein and Jerry B. Marion and Stephen T. Thornton and Classical Dynamics Of Particles and Harcourt Brace},
title = {Tangent Spheres and Triangle Centers},
year = {2001}
}
author = {David Eppstein and Jerry B. Marion and Stephen T. Thornton and Classical Dynamics Of Particles and Harcourt Brace},
title = {Tangent Spheres and Triangle Centers},
year = {2001}
}
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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
Citations
| 5 | Triangle centers and central triangles – Kimberling - 1998 |
| 3 | Modern Pure Solid Geometry – Altshiller-Court - 1964 |
| 3 | The Rise, Fall and Possible Transfiguration of Triangle Geometry – DAVIS - 1995 |
| 3 | The Euler-Gergonne-Soddy triangle of a triangle – Oldknow - 1996 |
| 1 | A theorem concerning Soddy-circles – Veldkamp - 1966 |
| 1 | The isoperimetric point and the point(s) of equal detour – Veldkamp - 1985 |
