File:Fermat Point Proof.svg

From Infogalactic: the planetary knowledge core
Jump to: navigation, search
Original file(SVG file, nominally 350 × 400 pixels, file size: 29 KB)

Summary

Proving the construction of Fermat Point is valid: We have to prove the three lines constructed are concurrent. The red and blue triangle are congruent by S.A.S. , and hence the angles in the same segment are the same, which shows that there are two cyclic quadrilaterals. Thus the last four points are also concyclic, and by angle in the same segment the last line is a straight line. N.B. all information are included in the metadata of this svg file.

Licensing

Lua error in package.lua at line 80: module 'strict' not found.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current22:20, 4 January 2017Thumbnail for version as of 22:20, 4 January 2017350 × 400 (29 KB)127.0.0.1 (talk)<p>Proving the construction of Fermat Point is valid: We have to prove the three lines constructed are concurrent. The red and blue triangle are congruent by S.A.S. , and hence the angles in the same segment are the same, which shows that there are two cyclic quadrilaterals. Thus the last four points are also concyclic, and by angle in the same segment the last line is a straight line. N.B. all information are included in the metadata of this svg file. </p>
  • You cannot overwrite this file.

The following page links to this file: