Johannes Kepler Symposium on Mathematics
As part of the Johannes Kepler symposium on mathematics Prof. Dr. Adolf Karger Dr. Sc., Department of Mathematics Education, Mathematical Institute of Charles University, will give a public talk (followed by a discussion) on Wed, May 18, 2005 at 15:00 o'clock at HS 9 on the topic of "Computer proofs of geometric theorems" . The organziers of the symposium,O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, and
die ÖMG (Österreichische Mathematische Gesellschaft),
hereby cordially invite you.
Series A - General Colloquium:
The intention is to present general information not only to experts, but also to students and guests from outside the mathematical institutes.
Computer proofs of geometric theorems
We shall discuss problems motivated by the geometry of parallel manipulators. We describe the concept of a singular position of such a manipulator. Singular positions of parallel manipulators have very simple geometric characterization and they are projectively invariant.
The general equation for singular positions is too large to be of any use (about 10^6 terms), but using computer algebra we can prove some purely geometric theorems for some special cases of parallel manipulators.