File:Unit circle.svg

A F.R

Summary[edit]

DescriptionUnit circle.svg	English: An illustration of the unit circle for the article Unit circle.
Date	18 February 2006 (upload date)
Source	Own work
Author	Gustavb
SVG development InfoField	The SVG code is valid.   This mathematical image was created with an unknown SVG tool.   The file size of this SVG mathematical image may be irrationally large because its text has been converted to paths inhibiting translations.

Licensing[edit]

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.

Source[edit]

Created by Gustavb using Eukleides.

Unit_circle.euk (Eukleides source)[edit]

box(-1.3, -1.3, 1.6, 1.6, 1.4)

% Axis
X1 = point(-1.7, 0); X2 = point(1.4, 0)
Y1 = point(0, -1.7); Y2 = point(0, 1.4)
thickness(1)
draw(segment(X1,X2), full, arrow); draw(segment(Y1,Y2), full, arrow)
thickness(1.6)

O = point(0,0);  % origo

% Unit circle
C = circle(O, 1)

% Angle
phi interactive(58, -3, 0, 360, "", right)
P = point(C, phi:) 

draw(C); draw(P); draw(O,P)

% Angle mark
tricks "psset{linewidth=.5pt,arrowsize=3pt}"
mark(X2,O,P,arrow,.5)

% Draw labels
draw("$t$",O,.35,.5*phi:)
draw("$y$",Y2,.15,-30:); draw("$x$",X2,.15,-130:)

PS-tricks source[edit]

\psset{linecolor=black, linewidth=.5pt, arrowsize=2pt 4}
\psset{unit=1.4000cm}
\pspicture*(-1.3000,-1.3000)(1.6000,1.6000)
\psset{linewidth=0.5000pt}
\psline{->}(-1.7000,0.0000)(1.4000,0.0000)
\psline{->}(0.0000,-1.7000)(0.0000,1.4000)
\psset{linewidth=0.8000pt}
\pscircle(0.0000,0.0000){1.0000}
\psdots[dotstyle=*, dotscale=1.0000](0.5299,0.8480)
\psline(0.0000,0.0000)(0.5299,0.8480)
\psset{linewidth=.5pt,arrowsize=3pt}
\psarc{->}(0.0000,0.0000){0.2500}{0.0000}{58.0000}
\uput{0.3500}[29.0000](0.0000,0.0000){$t$}
\uput{0.1000}[58.0000](0.5299,0.8480){$(\cos t,\sin t)$}
\uput{0.1500}[-30.0000](0.0000,1.4000){$y$}
\uput{0.1500}[-130.0000](1.4000,0.0000){$x$}
\endpspicture

Instructions[edit]

1. Create EPS
   

   $ euk2eps Unit_circle.euk

2. Outline fonts
   

   $ eps2eps -dNOCACHE Unit_circle.eps Unit_circle2.eps

3. Fix bounding box
   

   $ ps2epsi Unit_circle2.eps Unit_circle.eps

4. Convert to Sketch
   

   $ pstoedit -f sk Unit_circle.eps Unit_circle.sk

5. Convert to SVG
   

   $ skconvert Unit_circle.sk Unit_circle.svg

6. Fix Unit_circle.svg with Inkscape
7. create EPS br pre $euk2EPS Unit_circle.euk pre
8. outline fonts