The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

GeoGebra is open source mathematics education software being used in thousands of
schools worldwide. Its new version 5 supports automatic geometry theorem proving by using …

In this paper, we report on the formal proof that Hilbert's axiom system can be derived from
Tarski's system. For this purpose we mechanized the proofs of the first twelve chapters of …

We present in this paper the integration within the Coq proof assistant, of a method for
automatic theorem proving in geometry. We use an approach based on the validation of a …

The aim of this dissertation is to identify effective methods on extending teaching of
conjectures and proofs of Euclidean geometry theorems in secondary schools by utilizing …

Kinematic analysis is used for trajectory planning of robotic manipulators and is an integral
step of their design. The main idea behind kinematic analysis is to study the motion of the …

Computer-assisted theorem proving in synthetic geometry Page 56 Chapter 2 Computer-Assisted
Theorem Proving in Synthetic Geometry Julien Narboux University of Strasbourg Predrag …

GeoGebra is open source mathematics education software being used in thousands of
schools worldwide. Its forthcoming new version 5 will support automatic geometry theorem …

The International Mathematical Olympiad (IMO) is perhaps the most celebrated mental
competition in the world and as such is among the greatest grand challenges for Artificial …

We present our current work on formalizing analytic (Cartesian) plane geometries within the
proof assistant Isabelle/HOL. We give several equivalent definitions of the Cartesian plane …