File:Fermat Point.svg
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Size of this PNG preview of this SVG file: 350 × 400 pixels. Other resolutions: 210 × 240 pixels | 420 × 480 pixels | 672 × 768 pixels | 896 × 1,024 pixels | 1,792 × 2,048 pixels.
Original file (SVG file, nominally 350 × 400 pixels, file size: 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
I, the copyright holder of this work, hereby publish it under the following licenses:
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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. |
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:20, 11 March 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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