File:Excircles and Nagel point.JPG

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Description
English: Excircles and Nagel point
  • ΔABC
  • a, b, c – sides
  • oa, ob, oc – angle bisectors
  • va, vb, vc – adjacent angle bisectors
  • Pa, Pb, Pc – intersections of angle bisectors and adjacent angle bisectors, excircles centers
  • pa, pb, pc – excircles
  • ka, kb, kc – perpendiculars to sides, including excircles centers
  • Ka, Kb, Kc– tangent points
  • AKa, BKb, CKc - lines throuht vertices and tangent points
  • N – intersection of lines, Nagel point
Čeština: Kružnice připsané a Nagelův bod:
  • ΔABC
  • a, b, c – strany
  • oa, ob, oc – osy úhlů
  • va, vb, vc – osy vedlejších úhlů
  • Pa, Pb, Pc – průsečíky os úhlů a vedlejších úhlů, středy kružnic připsaných
  • pa, pb, pc – kružnice připsané
  • ka, kb, kc – kolmice ze středů kružnic připsaných na strany
  • Ka, Kb, Kc – dotykové body
  • AKa, BKb, CKc – spojnice dotykových bodů s protějšími vrcholy
  • N – průsečík spojnic, Nagelův bod
Date 1 April 2009 (upload date)
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
current11:19, 1 April 2009Thumbnail for version as of 11:19, 1 April 2009752 × 708 (55 KB)Lukas Sova (talk | contribs){{Information |Description={{en|1=Excircles and Nagel point *ΔABC *a, b, c – sides *o<sub>a</sub>, o<sub>b</sub>, o<sub>c</sub> – angle bisectors * v<sub>a</sub>, v<sub>b</sub>, v<sub>c</sub> – adjacent angle bisectors * P<sub>a</sub>, P<sub>b</sub

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