File:Fermat Points Proof.png
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Fermat_Points_Proof.png (314 × 376 pixels, file size: 10 KB, MIME type: image/png)
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Summary
[edit]This is the proof that the three lines are concurrent at the fermat point. The red and blue triangle are congurent by S.A.S. , and hence the angles in the same segment are the same, which make them two cyclic quadrilaterals. Hence the last four points are also concyclic, and by angle in the same segment the last line is a straight line.
This is created in eukleides, the source code will be posted in the discussion page later.
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[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 |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:06, 12 September 2005 | 314 × 376 (10 KB) | Lemontea~commonswiki (talk | contribs) | This is the proof that the three lines are concurrent at the fermat point. The red and blue triangle are congurent by S.A.S. , and hence the angles in the same segment are the same, which make them two cyclic quadrilaterals. Hence the last four points are |
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