Summary edit

Licensing edit

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.

The picture was done in Matlab, with source code below. The conversion from eps to png format was done with the Unix command convert:

convert -antialias -density 400x400 -scale 10% Heronian_trig.eps Heronian_trig.png

Source code edit

function main ()

%prepare the screen
figure(1); clf; hold on; axis equal; axis off;

% points to graph
P=[-12, 0]; Q=[0, 0]; R=[32, 0]; S=[0, 24];

% text fontsize, line thickness, distance from text to graphics
fs=30; thick=3; dist=fs*0.1;

or=1; % to which side of a given segment the text should go

% draw the segments
side(P, Q, or, thick, dist, fs, 'b')
side(Q, R, or, thick, dist, fs, 'd')
side(R, S, or, thick, dist, fs, 'e')
side(S, P, or, thick, dist, fs, 'c')
side(S, Q, -or, thick, dist, fs, 'a')

% save as eps.
saveas(gcf, 'Heronian_trig.eps', 'psc2');

% Use later the command
% convert -antialias -density 400x400 -scale 10% Heronian_trig.eps Heronian_trig.png
% to convert to PNG. This keeps small size but good detail.

% a function to draw a segment and put some text a bit to a side of it.
function side(P, Q, or, thick, dist, fs, name)

 plot([P(1) Q(1)], [P(2), Q(2)], 'linewidth', thick);

 v=[(Q(2)-P(2)), -(Q(1)-P(1))]; % PQ rotated by 90 deg clockwise

 if or < 0
  v=-v; % change orientation
 end

 R=(P+Q)/2+dist*v/max(abs(v));
 H=text(R(1), R(2), name);
 set(H, 'fontsize', fs, 'VerticalAlignment', 'c', 'HorizontalAlignment', 'c')

Original upload log edit

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 23:38, 12 September 2005 . . en:User:Oleg_Alexandrov Oleg Alexandrov ( en:User_talk:Oleg_Alexandrov Talk) . . 214x151 (4747 bytes)

File:Triangle-heronian.svg is a vector version of this file. It should be used in place of this PNG file when not inferior. File:Heronian trig.png → File:Triangle-heronian.svg For more information, see Help:SVG. In other languages Alemannisch ∙ Bahasa Indonesia ∙ Bahasa Melayu ∙ British English ∙ català ∙ čeština ∙ dansk ∙ Deutsch ∙ eesti ∙ English ∙ español ∙ Esperanto ∙ euskara ∙ français ∙ Frysk ∙ galego ∙ hrvatski ∙ Ido ∙ italiano ∙ lietuvių ∙ magyar ∙ Nederlands ∙ norsk bokmål ∙ norsk nynorsk ∙ occitan ∙ Plattdüütsch ∙ polski ∙ português ∙ português do Brasil ∙ română ∙ Scots ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ suomi ∙ svenska ∙ Tiếng Việt ∙ Türkçe ∙ vèneto ∙ Ελληνικά ∙ беларуская (тарашкевіца) ∙ български ∙ македонски ∙ нохчийн ∙ русский ∙ српски / srpski ∙ татарча/tatarça ∙ українська ∙ ქართული ∙ հայերեն ∙ বাংলা ∙ தமிழ் ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文 ∙ 繁體中文 ∙ עברית ∙ العربية ∙ فارسی ∙ +/−