# Klehr-Bliss Theorem

**URL:** <https://boards.straightdope.com/t/klehr-bliss-theorem/209771>\
**Category:** Factual Questions\
**Created:** [October 27, 2003, 2:45am UTC](https://boards.straightdope.com/t/klehr-bliss-theorem/209771 "2003-10-27T02:45:30Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![Enola\_Straight](https://avatars.discourse-cdn.com/v4/letter/e/dec6dc/32.png) [@Enola\_Straight](https://boards.straightdope.com/u/Enola_Straight)\
**Post date:** [October 27, 2003, 2:45am UTC](https://boards.straightdope.com/t/klehr-bliss-theorem/209771/1 "2003-10-27T02:45:30Z")

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In 1999, an 8th grade student discovered a new geometric feature derived from triangles.

Essentially, one takes the midpoint of each side and traces a line of reciprocal slope…basically, a mirror image of the side.

The three new lines will meet at one point.

As I interpret it, the theorem asks wether or not the point remains where it is regardless what coordinate system is used.

Let’s say the mirror image slope of each side is mirrored in relation to the X axis…what happens if the reciprocal slope is in relation to the Y axis?

What if you use polar coordinates instead of Cartesian coordinates?

What is so significant about the Klehr-Bliss point anyways?

( note…I tried to link to the site but got a Page Not Found:mad: …  
the address is [http://math.smsu.edu/klehrbliss.html](http://math.smsu.edu/klehrbliss.html) whoever cares)

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**Author:** ![Enola\_Straight](https://avatars.discourse-cdn.com/v4/letter/e/dec6dc/32.png) [@Enola\_Straight](https://boards.straightdope.com/u/Enola_Straight)\
**Post date:** [October 27, 2003, 2:49am UTC](https://boards.straightdope.com/t/klehr-bliss-theorem/209771/2 "2003-10-27T02:49:04Z")

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Shit…NOW it works.

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**Author:** ![ultrafilter](https://avatars.discourse-cdn.com/v4/letter/u/3d9bf3/32.png) [@ultrafilter](https://boards.straightdope.com/u/ultrafilter)\
**Post date:** [October 27, 2003, 3:42am UTC](https://boards.straightdope.com/t/klehr-bliss-theorem/209771/3 "2003-10-27T03:42:05Z")

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It may not be significant at all, and just interesting.

Anyway, the existence of the point is entirely independent of whatever coordinate system is used. Any proof that can be done using coordinate geometry can also be done without coordinates–it’s just that sometimes the coordinates make a proof a whole hell of a lot easier.