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 …

We study two different descriptions of incidence projective geometry: a synthetic,
mathematics-oriented one and a more practical, computation-oriented one, based on 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 …

We describe formalization of the Poincaré disc model of hyperbolic geometry within the
Isabelle/HOL proof assistant. The model is defined within the complex projective line CP^ 1 …

Incidence geometry is a well-established theory which captures the very basic properties of
all geometries in terms of points belonging to lines, planes, etc. Moreover, projective …

Ce travail de thèse s' inscrit dans le domaine de la preuve assistée par ordinateur et se
place d'un point de vue méthodologique. L'objectif premier des assistants de preuves est de …

In this thesis, we investigate how a proof assistant can be used to study the foundations of
geometry. We start by focusing on ways to axiomatize Euclidean geometry and their …