File:Fermat Point Derivation.svg
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Summary
[edit]DescriptionFermat Point Derivation.svg |
Arriving at the solution of minimizing total distance from a point to the three vertex of a given triangle(Fermat's Problem) : Rotate one side of the triangle with the arbitary point F for 60 degrees, and the distance to minimize is the shortest path from A to D. Hence the solution is when it become a straight line. N.B. all information are included in the metadata of this svg file. |
Date | 11 March 2006 (original upload date) |
Source | No machine-readable source provided. Own work assumed (based on copyright claims). |
Author | No machine-readable author provided. Lemontea~commonswiki assumed (based on copyright claims). |
Source
[edit]The source is licensed under the same license as the image. Feel free to edit, fix, or improve it!
fermat_point_derivation.euk
[edit]frame(-0.5, -6, 7, 4.5) B C A triangle(6, 75:, 35:) C B D equilateral F = point(2.5, 35:) F B G equilateral color(black) draw(segment(A, B)) draw(segment(A, C)) thickness(2) draw(segment(A, F)) draw(segment(F, G), dashed) thickness(0.5) draw(segment(C, D), dashed) color(red) draw(B, C, F) color(blue) draw(B, D, G) thickness(2) draw(segment(G, D)) thickness(0.5) color(red) mark(segment(B, F), simple) mark(segment(F, C), double) mark(segment(B, C), triple) color(blue) mark(segment(B, G), simple) mark(segment(G, D), double) mark(segment(B, D), triple) color(black) mark(segment(F, G), simple) mark(D, B, C, simple, 0.8) mark(G, B, F, simple, 1.5) label(A, 0.2, 90:) label(B, 0.2, 180:) label(C, 0.2, 0:) label(D, 0.2, 270:) label(F, 0.2, 30:) label(G, 0.2, 0:)
Instruction
[edit]- 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.
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
| ||
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 |
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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- to share – to copy, distribute and transmit the work
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- Under the following conditions:
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You may select the license of your choice.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 01:24, 11 March 2006 | 250 × 325 (18 KB) | Lemontea~commonswiki (talk | contribs) | Arriving at the solution of minimizing total distance from a point to the three vertex of a given triangle(Fermat's Problem) : Rotate one side of the triangle with the arbitary point F for 60 degrees, and the distance to minimize is the shortest path fro |
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