File:Excircles.png
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Excircles.png (206 × 295 pixels, file size: 6 KB, MIME type: image/png)
File information
Structured data
Captions
Summary
[edit]DescriptionExcircles.png |
English: A triangle with its incircle, excircles and angle bisectors. |
|||||
Date | 3 May 2005 (upload date) | |||||
Source | Own work | |||||
Author | Axel Boldt | |||||
Other versions |
|
|||||
GCLC source InfoField | click to expand
% The three vertices of the triangle
point A 25 70
point B 20 55
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 three external angle bisectors
% They are perpendicular to the internal ones
perp extbis_A A bis_A
perp extbis_B B bis_B
perp extbis_C C bis_C
% The centers of the in- and excircles
intersec incenter bis_A bis_B
intersec a_excenter bis_A extbis_B
intersec b_excenter bis_B extbis_C
intersec c_excenter bis_C extbis_A
% The incircle.
% Find a point on the incircle
% by going perpendicular from the incenter
% to b (for instance).
perp dummy_line incenter b
intersec touch dummy_line b
circle incircle incenter touch
% The excircles.
perp dummy_line a_excenter a
intersec touch dummy_line a
circle a_excircle a_excenter touch
perp dummy_line b_excenter b
intersec touch dummy_line b
circle b_excircle b_excenter touch
perp dummy_line c_excenter c
intersec touch dummy_line c
circle c_excircle c_excenter touch
% Now draw everything
dim 70 100
color 0 200 0
drawline extbis_A
drawline extbis_B
drawline extbis_C
color 255 0 0
drawline bis_A
drawline bis_B
drawline bis_C
linethickness 3
color 120 0 120
drawcircle incircle
color 0 0 240
drawcircle a_excircle
drawcircle b_excircle
drawcircle c_excircle
color 0 0 0
drawline a
drawline b
drawline c
|
Licensing
[edit]Public domainPublic domainfalsefalse |
This image of simple geometry is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship. |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:52, 3 May 2005 | 206 × 295 (6 KB) | Burn~commonswiki (talk | contribs) | A triangle with its incircle, excircles and angle bisectors by Axel Boldt. Created with GCLC using the following source code: % The three vertices of the triangle point A 25 70 point B 20 55 point C 45 60 % They define three lines lin |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.