File:Simson line.JPG

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Original file (650 × 663 pixels, file size: 43 KB, MIME type: image/jpeg)

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Description
English: The circumcircle and the Simson line:
  • ΔABC
  • a, b, c – sides
  • oa, ob, oc – perpendicular bisectors,
  • O – intersection of the perpendicular bisectors (circumcenter),
  • X – random circumcircle point
  • ka, kb, kc – perpendiculars to sides, including the X point
  • Sa, Sb, Sc – intersections of sides and ka, kb, kc perpendiculars
  • s – Simson line
  • va, vb, vc – altitudes,
  • V – orthocenter,
  • S – center of the VX line segment
Čeština: Kružnice opsaná a Simsonova přímka:
  • ΔABC
  • a, b, c – strany
  • oa, ob, oc - osy stran,
  • O – průsečík os stran (střed kružnice opsané),
  • X – libovolný bod, ležící na kružnici opsané
  • ka, kb, kc – kolmice na strany, spuštěné z bodu X
  • Sa, Sb, Sc – paty kolmic ka, kb, kc
  • s – Simsonova přímka
  • va, vb, vc – výšky,
  • V – průsečík výšek (ortocentrum)
  • S – střed úsečky VX
Date 01/042009
Source Own work
Author Lukas Sova
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current10:49, 1 April 2009Thumbnail for version as of 10:49, 1 April 2009650 × 663 (43 KB)Lukas Sova (talk | contribs){{Information |Description={{en|1=The circumcircle and the Simson line: *ΔABC *a, b, c – sides *o<sub>a</sub>, o<sub>b</sub>, o<sub>c</sub> – perpendicular bisectors, *O – intersection of the perpendicular bisectors (circumcenter), *X – random ci

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