File:Simson line.JPG

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

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

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

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
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “Simson line.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.
This math image was uploaded in the JPEG format even though it consists of non-photographic data. This information could be stored more efficiently or accurately in the PNG or SVG format. If possible, please upload a PNG or SVG version of this image without compression artifacts, derived from a non-JPEG source (or with existing artifacts removed). After doing so, please tag the JPEG version with {{Superseded|NewImage.ext}} and remove this tag. This tag should not be applied to photographs or scans. If this image is a diagram or other image suitable for vectorisation, please tag this image with {{Convert to SVG}} instead of {{BadJPEG}}. If not suitable for vectorisation, use {{Convert to PNG}}. For more information, see {{BadJPEG}}.

Licensing[edit]

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.

File history

Click on a date/time to view the file as it appeared at that time.

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

You cannot overwrite this file.

There are no pages that use this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Simson_line.JPG&oldid=548161634"