Image:Contact triangle.png

From Wikipedia, the free encyclopedia

Wikimedia Commons logo This is a file from the Wikimedia Commons. The description on its description page there is shown below.
Commons is a freely licensed media file repository. You can help.
This math image should be recreated 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 already available, please upload it. After uploading an SVG, replace this template with template {{Vector version available|new image name.svg}} in this image.

العربية | Български | Català | Česky | Dansk | Deutsch | English | Esperanto | Español | Français | 한국어 | Italiano | Magyar | Lietuvių | Nederlands | 日本語 | Polski | Português | Română | Русский | Suomi | Svenska | Türkçe | Українська | Tiếng Việt | मराठी | ‪中文(繁體)‬ | ‪中文(简体)‬ | +/-

A triangle with incircle, contact triangle and Gergonne point. Released into the public domain by Axel Boldt. Created with GCLC using the following input:

% The three vertices of the triangle
point A 15 80
point B 13 30
point C 45 60

% They define three lines
line a B C
line b A C
line c A B

% The three internal angle bisectors
bis bis_A B A C
bis bis_B A B C
bis bis_C B C A

% The center of the incircle
intersec incenter bis_A bis_B

% The points where the incircle
% touches the triangle.
perp dummy_line incenter a
intersec T_A dummy_line a
perp dummy_line incenter b
intersec T_B dummy_line b
perp dummy_line incenter c
intersec T_C dummy_line c

% The incircle
circle incircle incenter T_A

% Gergonne point 
line AT_A A T_A
line BT_B B T_B
intersec G AT_A BT_B

% Now draw everything
dim 70 100

color 0 200 0
drawsegment A T_A
drawsegment B T_B
drawsegment C T_C

mark_t G

color 255 0 0
drawsegment T_A T_B
drawsegment T_B T_C
drawsegment T_C T_A

%Kludge to print indices T_A, T_B and T_C...
point P1 1 1
point P2 2 0

printat_rb T_A {T}
translate T_A1 P1 P2 T_A
printat_rb T_A1 {A}

printat_rt T_B {T}
translate T_B1 P1 P2 T_B
printat_rt T_B1 {B}

printat_l T_C {T }
translate T_C1 P1 P2 T_C 
printat_l T_C1 {C }

color 0 0 0

drawcircle incircle

drawsegment A B
drawsegment B C
drawsegment C A

mark_t A
mark_lb B
mark_r C


Public domain This file has been released into the public domain by the copyright holder, its copyright has expired, or it is ineligible for copyright. This applies worldwide.
Warning sign Note: This tag is obsolete! Nothing is public domain without a reason. Don't use this generic template - please use instead:
  • {{PD-old}} (for works out of copyright where the author has been dead for over 70 years),
  • {{PD-Art}} (for photos of old paintings and art out of copyright),
  • {{PD-ineligible}} (for trivial work),
  • {{PD-USGov}} (for work by the U.S. federal government),
  • {{PD-self}} (if the uploader and creator releases the rights),
  • {{PD-user|user}} (if another user released his/her rights), or {{Copyrighted free use}}.
  • {{PD-author|Author's name}} - for works released into the public domain by non-Wikimedia users.
  • If the work is PD for another reason, check the copyright tag page or use {{PD-because|reason}}.

العربية | Български | Česky | Deutsch | English | Español | Français | हिन्दी | Italiano | 日本語 | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | Português | Русский | Slovenčina | Slovenščina | Српски / Srpski | Polski | Türkçe | 中文 | +/-

File history

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

Date/TimeDimensionsUserComment
current12:41, 2 May 2005265×372 (2 KB)Burn
12:38, 2 May 2005222×336 (3 KB)Burn (A triangle with incircle, contact triangle and Gergonne point. Released into the public domain by Axel Boldt. Created with GCLC using the following input: <pre> % The three vertices of the triangle point A 15 80 point B 13 30 point C 4)
No pages on the English Wikipedia link to this file. (Pages on other projects are not counted.)