ចំណារពន្យល់

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

ការដាក់​អាជ្ញាប័ណ្ណ

I, the copyright holder of this work, hereby publish it under the following license:

រូបភាពនៃទំព័រនេះជាកម្មសិទ្ធិរបស់GNU Free Documentation License។ Version 1.2 ឬក៏ខ្ពស់ជាងនេះត្រូវបានឧបត្ថមគាំទ្រដោយ មូលនិធិសូហ្វវែរដោយឥតគិតថ្លៃ (Free Software Foundation) ដែលមិនមានផ្នែកណាមួយរបស់ប្រភពដើមរួមទាំងអក្សរនៅលើគំរបមុខនិងខ្នង ត្រូវបានផ្លាស់ប្តូរទេ។ ចំពោះផ្នែកដែលមិនអាចផ្លាស់ប្តូរបាន សូមមើលGNU Free Documentation License។http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

	ឯកសារនេះជាប់អាជ្ញាបណ្ឌCreative Commons Attribution-Share Alike 3.0 Unported។
	អ្នកមានសិទ្ធិ៖ ចែកចាយ – ថតចំលងនិងចែកចាយស្នាដៃនេះ កែច្នៃ – កែច្នៃយកទៅប្រើ ក្រោមលក្ខខណ្ឌដូចតទៅនេះ៖ ភាពជាម្ចាស់កម្មសិទ្ធ – 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.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

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