Go back to previous page
Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: This and that
Topic ID: 718
Message ID: 1
#1, RE: Bi-linear transformation
Posted by Milan on Jul-08-06 at 11:09 PM
In response to message #0
This is about a mapping function.
I can now formulate a new mapping function by this principle:

Definition:
If any line bisects the oppozite sides of a Quadrilateral A, B, C, D in points P and Q in such a manner the ratio AB:DC=AP:DQ holds than this line is called a Sweeping Line.

Theorem by Milan Anthony Vlasak:

"There is only one Parabola which is tangent to all Sweeping Lines of a Quadrilateral."

Any objection to that ?
You guys are mathematitions, I am a surveyor.

Milan