 About 102 results  books.google.com 2750 Soddy Line Soddy Points See also APOLLONIAN GASKET, APOLLONIUS
CIRCLES, APOLLONIUS' ... The Soddy line intersects the EULER LINE in the DE
LONGCHAMPS POINT, and the GERGONNE LINE in the FLETCHER POINT. 

 books.google.com Yes: the Euler Line, on which lie O, G, and H. While this collinearity may be seen,
its proof is unlikely to be devised. ... Third stage: more, and deeper, hidden
structure: the nine—point or Feuer— bach Circle (whose center lies on the Euler
Line! ) . ... triangles: Brocard Triangles, the Euler—Soddy—Gergonne Right
Triangle. 

 books.google.com More modern configurations can be found in the Soddy circles [9], the Euler
GergonneSoddy triangle [8], the Tor ricelli configuration [10], etc. In fact, one
can see in [3] four hundred configurations (triangle centers), in [4] even eight
hundred ... 

 books.google.com See Soddy formula diagonal diameter equichordal point equilateral Euclidean
geometry Euler line Fagnano's problem focal chord focal radius focus geometry
Gergonne point great circle halfline halfplane harmonic division Heron's
formula ... 

 books.google.com Jesse Russell, Ronald Cohn  2012  No preview High Quality Content by WIKIPEDIA articles! In geometry, the GEOS circle is derived from the intersection of four lines that are associated with a generalized triangle: the Euler line, the Soddy line, the orthic axis and the Gergonne line. 

 books.google.com Apollonius' problem (find the tangent circles to three given ones) has attracted
many mathematicians and has been solved using different ... Later, other
solutions were found by Descartes, Newton, Euler, Steiner, Poncelet, Gergonne,
Mannheim, Fouché. ... In 1936, Nobel award winner Soddy [11] particularized the
problem to the study of the relation between the radius of a molecule and the
radii of its ... 

 books.google.com 
 books.google.com Summary We have seen that the key results for the Soddy circles of any triangle
extend to the threedimensional situation  but only for the restricted class of four
ball ... A. Oldknow, The EulerSoddyGergonne triangle of a triangle, Amer. Math. 

 books.google.com What about the centers of similitude for the three pairs of external Soddy circles?
... Is it possible to write cevian ratios for a point on the Euler line that divides the
segment connecting the orthocenter and de Longchamps' point in a given ratio? 

 books.google.com Marian Bubak, Geert D. van Albada, Peter M.A. Sloot  2004  Snippet view  More editions Apollonius' problem (find the tangent circles to three given ones) has attracted
many mathematicians and has been solved using different ... Later, other
solutions were found by Descartes, Newton, Euler, Steiner, Poncelet, Gergonne,
Mannheim, Fouche. ... In 1936, Nobel award winner Soddy [11] particularized the
problem to the study of the relation between the radius of a molecule and the
radii of its ... 

 