The paper discusses the use of computers to construct models and generate theorems of projective geometry. After signalising the history of the issue, the axiomatics as well as basic properties of projective geometry have been introduced. The main body of the paper constitutes a proposed and discussed idea of building a plane by implementing axioms. As an essential extension, the theorems are pointed out, that, together with proofs, appear in the course of the program work. The limits and possible modifications of the proposed application are given in Conclusions
In this thesis, we investigate affine and projective geometries. An affine geometry is an incidence ...
AbstractThis article deals with algorithmic and structural aspects related to the computer-aided stu...
This thesis deals with the formalization and automation of geometric reasoning within the Coq proof ...
After a historical introduction some applications of projective geometry are indicated by ...
Projective geometry is a branch of mathematics which is foundationally based on an axiomatic system....
Projective geometry is a branch of mathematics which is foundationally based on an axiomatic system....
Tutorial given at International Symposium on Photogrammetry & Remote SensingTutorial given at Intern...
AbstractThe axioms of projective and affine plane geometry are turned into rules of proof by which f...
Projective Geometry gives us the means to demonstrate and discover properties of figures, it is a pos...
In this work, initially, some results of Linear Algebra are presented, in particular the study of th...
AbstractThis article deals with algorithmic and structural aspects related to the computer-aided stu...
International audienceThis paper presents a formalization of Grassmann-Cayley algebra that has been ...
This book starts with a concise but rigorous overview of the basic notions of projective geometry, u...
This book starts with a concise but rigorous overview of the basic notions of projective geometry, u...
International audienceThis paper presents a formalization of Grassmann-Cayley algebra that has been ...
In this thesis, we investigate affine and projective geometries. An affine geometry is an incidence ...
AbstractThis article deals with algorithmic and structural aspects related to the computer-aided stu...
This thesis deals with the formalization and automation of geometric reasoning within the Coq proof ...
After a historical introduction some applications of projective geometry are indicated by ...
Projective geometry is a branch of mathematics which is foundationally based on an axiomatic system....
Projective geometry is a branch of mathematics which is foundationally based on an axiomatic system....
Tutorial given at International Symposium on Photogrammetry & Remote SensingTutorial given at Intern...
AbstractThe axioms of projective and affine plane geometry are turned into rules of proof by which f...
Projective Geometry gives us the means to demonstrate and discover properties of figures, it is a pos...
In this work, initially, some results of Linear Algebra are presented, in particular the study of th...
AbstractThis article deals with algorithmic and structural aspects related to the computer-aided stu...
International audienceThis paper presents a formalization of Grassmann-Cayley algebra that has been ...
This book starts with a concise but rigorous overview of the basic notions of projective geometry, u...
This book starts with a concise but rigorous overview of the basic notions of projective geometry, u...
International audienceThis paper presents a formalization of Grassmann-Cayley algebra that has been ...
In this thesis, we investigate affine and projective geometries. An affine geometry is an incidence ...
AbstractThis article deals with algorithmic and structural aspects related to the computer-aided stu...
This thesis deals with the formalization and automation of geometric reasoning within the Coq proof ...