File:Excircles.svg
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Size of this PNG preview of this SVG file: 248 × 354 pixels. Other resolutions: 168 × 240 pixels | 336 × 480 pixels | 538 × 768 pixels | 717 × 1,024 pixels | 1,435 × 2,048 pixels.
Original file (SVG file, nominally 248 × 354 pixels, file size: 989 bytes)
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Structured data
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Summary
[edit]DescriptionExcircles.svg |
English: A triangle with its incircle, excircles and angle bisectors. |
Date | |
Source | Excircles.png |
Author |
|
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 |
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
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 22:04, 17 July 2013 | 248 × 354 (989 bytes) | Patrick87 (talk | contribs) | == {{int:filedesc}} == {{Information |Description= |Source=Excircles.png |Date=2013-07-17 |Author=*Excircles.png: AxelBoldt *SVG version (this file): Patrick87 |Permi... |
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Width | 70mm |
---|---|
Height | 100mm |