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This is known as the six circles theorem. [10] It is also known as the four circles theorem and while generally attributed to Jakob Steiner the only known published proof was given by Miquel. [11] David G. Wells refers to this as Miquel's theorem. [12]
added angles between points and the miquel point: 20:58, 24 February 2009: 200 × 180 (16 KB) Inductiveload {{Information |Description={{en|1=A diagram showing en:Miquel's theorem - if three points A', B', C' are on the sides of a triangle ''ABC'', then the circles centred on the vertices of the triangle passing through the two points on the ...
Some examples of theorem configuration changing the radius of the first circle. In the last configuration the circles are pairwise coincident. In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the ...
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Six Flags opened in 1961 in Arlington. These photos from the Star-Telegram show long-gone rides, historic moments and fun memories from the 1960s into into 2010s.
The second theorem considers five circles in general position passing through a single point M. Each subset of four circles defines a new point P according to the first theorem. Then these five points all lie on a single circle C. The third theorem considers six circles in general position that pass through a single point M. Each subset of five ...