File:Butterfly theorem.svg

Original file (SVG file, nominally 528 × 483 pixels, file size: 16 KB)

Summary

Illustration for article en:Butterfly theorem. Created by Gustavb using Eukleides

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.

Source

Butterfly_theorem.euk

box(-1.2,-1.1,1.2,1.1,2.2)
thickness(1.2)

E = circle(point(0,0),1)

A = point(E,120:)
C = point(E,60:)
P = point(E,170:)
D = point(E,210:)
B = point(E,330:)

M = intersection(line(C,D),line(A,B))
G = line(M, P)
Q P intersection(G, E)
X = intersection(line(A,D),line(P,Q))
Y = intersection(line(C,B),line(P,Q))

draw(P,Q)
draw(E)
draw(A,D,C,B,A)
draw("$A$",A,.05,120:)
draw("$C$",C,.05,50:)
draw("$P$",P,.05,190:)
draw("$Q$",Q,.05,20:)
draw("$D$",D,.05,210:)
draw("$B$",B,.05,310:)
draw("$M$",M,.1,90:)
draw("$X$",X,.05,135:)
draw("$Y$",Y,.05,60:)

mark(B,M,C,simple,.4); mark(Q,M,C,simple,.46)
mark(A,M,D,simple,.4); mark(P,M,D,simple,.46)
mark(C,D,A,simple,.5); mark(C,D,A,simple,.44); mark(C,D,A,simple,.38)
mark(C,B,A,simple,.5); mark(C,B,A,simple,.44); mark(C,B,A,simple,.38)

Instructions

  1. Create EPS
    $ euk2eps Butterfly_theorem.euk
  2. Outline fonts
    $ eps2eps -dNOCACHE Butterfly_theorem.eps Butterfly_theorem2.eps
  3. Fix bounding box
    $ ps2epsi Butterfly_theorem2.eps Butterfly_theorem.eps
  4. Convert to Sketch
    $ pstoedit -f sk Butterfly_theorem.eps Butterfly_theorem.sk
  5. Convert to SVG
    $ skconvert Butterfly_theorem.sk Butterfly_theorem.svg
  6. Fix Butterfly_theorem.svg with Inkscape

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/svg+xml

3d36bfb10444bf5876e4e1c2b002130e29b23612

16,264 byte

483 pixel

528 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current19:30, 10 March 2006Thumbnail for version as of 19:30, 10 March 2006528 × 483 (16 KB)Gustavbstroke tweak
23:30, 6 March 2006Thumbnail for version as of 23:30, 6 March 2006528 × 483 (16 KB)Gustavb== Summary == Illustration for article en:Butterfly theorem. Created by Gustavb using [http://www.eukleides.org/ Eukleides] == Licensing == {{GFDL-self}} == Source == === Butterfly_theorem.euk === <pre> box(-1.2,-1.1,1.2,1.1,2.

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