File:Heronian trig.png

From formulasearchengine
Jump to navigation Jump to search
Original file (212 × 144 pixels, file size: 2 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
Date 18 March 2006 (original upload date)
Source Own work
Author Maksim

Licensing

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.

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

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')

date/time username edit summary
00:41, 13 September 2005 en:User:Oleg Alexandrov (source code)
23:38, 12 September 2005 en:User:Oleg Alexandrov

Original upload log

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.

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  العربية  беларуская (тарашкевіца)  български  বাংলা  català  нохчийн  čeština  dansk  Deutsch  Ελληνικά  English  British English  Esperanto  español  eesti  euskara  فارسی  suomi  français  Frysk  galego  Alemannisch  עברית  हिन्दी  hrvatski  magyar  հայերեն  Bahasa Indonesia  Ido  italiano  日本語  ქართული  한국어  lietuvių  македонски  മലയാളം  Bahasa Melayu  မြန်မာဘာသာ  norsk bokmål  Plattdüütsch  Nederlands  norsk nynorsk  norsk  occitan  polski  prūsiskan  português  português do Brasil  română  русский  sicilianu  Scots  slovenčina  slovenščina  српски / srpski  svenska  தமிழ்  ไทย  Türkçe  татарча / tatarça  українська  vèneto  Tiếng Việt  中文  中文(中国大陆)  中文(简体)  中文(繁體)  中文(马来西亚)  中文(新加坡)  中文(臺灣)  +/−
New SVG image

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

18 March 2006

image/png

File history

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

Date/TimeThumbnailDimensionsUserComment
current08:40, 30 August 2023Thumbnail for version as of 08:40, 30 August 2023212 × 144 (2 KB)wikimediacommons>PhreneticcA little redone for the better.

There are no pages that use this file.