Archiu:Fermat Point.svg
Tamany d'esta previsualisació PNG de l'archiu SVG: 350 × 400 píxels. Atres/s resolucions: 210 × 240 píxels | 420 × 480 píxels | 672 × 768 píxels | 896 × 1024 píxels | 1792 × 2048 píxels.
Resolució completa. ((Image SVG, nominalment 350 × 400 pixels, tamany d'archiu: 11 kB))
Summary
| Description |
Constructing the Fermat Point of a given triangle: Draw three regular triangles on each side of it, join their outlying vertex with the opposite triangle's vertex, and the lines intersect at the Fermat Point. Note that this point is a valid solution to the shortest total distance problem only for triangle with the greatest angle less then 120 degrees. N.B. all information are included in the metadata of this svg file. frame(-3.5, -6, 7.5, 7) B C A triangle(6, 75:, 35:) C B P equilateral A C Q equilateral B A R equilateral s = segment(A, P) t = segment(B, Q) u = segment(C, R) F = intersection(line(A, P), line(B, Q)) color(red) thickness(2) draw(s) draw(t) draw(u) draw(F) thickness(0.5) color(black) thickness(4) draw(B, C, A) thickness(0.25) draw(B, C, P, dashed) draw(A, C, Q, dashed) draw(B, A, R, dashed) mark(segment(A, B), simple) mark(segment(A, R), simple) mark(segment(B, R), simple) mark(segment(A, C), double) mark(segment(A, Q), double) mark(segment(C, Q), double) mark(segment(B, C), triple) mark(segment(B, P), triple) mark(segment(C, P), triple)# Run eukleides and compile it into en:PSTricks. # Paste the resulting code in the following en:TeX file and compile it into eps. \documentclass {article} \usepackage {pstricks} \usepackage {color} \begin {document} \pagestyle {empty} \colorbox {white} { %Paste the code here } \end {document} # Import the eps file using en:Scribus. (Remember to install en:ghostscript also and configure the path to ghostscript correctly in Scribus's Preferences) # And then export it to en:svg. # Post-process using en:Inkscape. |
| Source | The source is licensed under the same license as the image. ; Feel free to edit, fix, or improve it! |
| Author | Lemontea |
Licensing
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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. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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| This licensing tag was added to this file as part of the GFDL licensing update. |
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| Data/Hora | Miniatura | Dimensions | Usuari | Descripció | |
|---|---|---|---|---|---|
| actual | 01:20 11 març 2006 | | 350 × 400 (11 kB) | wikimediacommons>Lemontea~commonswiki | Constructing the Fermat Point of a given triangle: Draw three regular triangles on each side of it, join their outlying vertex with the opposite triangle's vertex, and the lines intersect at the Fermat Point. Note that this point is a valid solution to |
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