File:Johnson's Theorem.svg

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Description

English: A diagram showing Johnson's theorem. If three circles of radius r (blue) intersect at H, the circle drawn through the other three intersections (the circumcircle, red, of ΔABC, black) also has radius r. The Johnson triangle of ΔABC is then the triangle drawn between the three centres of the circles (green). The circumcircle of the Johnson triangle (orange) also has radius r.

Date

22 March 2009

Source

Own work

Author

Inductiveload

Permission
(Reusing this file)

I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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	Date/Time	Dimensions	User	Comment
current	02:58, 22 March 2009	300 × 300 (16 KB)	Inductiveload	added johnson triangle circumcircle
	02:54, 22 March 2009	300 × 300 (15 KB)	Inductiveload	added johnson triangle
	02:48, 22 March 2009	300 × 300 (15 KB)	Inductiveload	{{Information \|Description={{en\|1=A diagram showing en:Johnson's theorem. If three circles of radius ''r'' intersect at ''H'', the circle drawn through the other three intersections (the circumcircle of ΔABC also has radius ''r''.}} \|Source=Ow