Add to ORKGWe study the Carnot theorem and the configuration of points and lines in connection with it. It is proven that certain significant points in the configura-tion lie on the same lines and same conics. The proof of an equivalent statement formulated by Bradley is given. An open conjecture, established by Bradley, is proved using the theorems of Carnot and Menelaus.
The Euler line of a triangle passes through several important points, including three specific trian...
We analyze some properties of a class of multiexponential maps appearing naturally in the geometric ...
We present various results about the combinatorial properties of line arrangements in terms of the C...
Abstract. Some relations in a complete quadrilateral are derived. In connection with these relations...
Pascal's classical theorem asserts that if a hexagon in P2(C) is inscribed in a conic, then the oppo...
Abstract. We provide a companion to the recent Bényi-Ćurgus generalization of the well-known theor...
Poncelet's theorem is a famous result in algebraic geometry, dating to the early part of the ninetee...
The book is devoted to the properties of conics (plane curves of second degree) that can be formulat...
Carnot's theorem states that the signed sum of the perpendicular distances from the circumcenter of ...
The Ceva's theorem is one of the most important theorems in elementary geometry. This theorem provi...
In this article we’ll give solution to a problem of geometrical construction and we’ll show the conn...
We show in this article how Girard Desargues, in his well known text on conics, the \textit{Brouillo...
In this note, the concept of N-symmetric points. Janowski func-tions and the conic regions are combi...
In this Note we present the basic features of the theory of Lipschitz maps within Carnot groups as i...
Concurrence of lines. An extremely common theme in plane geometry is that of proving the concurrence...
The Euler line of a triangle passes through several important points, including three specific trian...
We analyze some properties of a class of multiexponential maps appearing naturally in the geometric ...
We present various results about the combinatorial properties of line arrangements in terms of the C...
Abstract. Some relations in a complete quadrilateral are derived. In connection with these relations...
Pascal's classical theorem asserts that if a hexagon in P2(C) is inscribed in a conic, then the oppo...
Abstract. We provide a companion to the recent Bényi-Ćurgus generalization of the well-known theor...
Poncelet's theorem is a famous result in algebraic geometry, dating to the early part of the ninetee...
The book is devoted to the properties of conics (plane curves of second degree) that can be formulat...
Carnot's theorem states that the signed sum of the perpendicular distances from the circumcenter of ...
The Ceva's theorem is one of the most important theorems in elementary geometry. This theorem provi...
In this article we’ll give solution to a problem of geometrical construction and we’ll show the conn...
We show in this article how Girard Desargues, in his well known text on conics, the \textit{Brouillo...
In this note, the concept of N-symmetric points. Janowski func-tions and the conic regions are combi...
In this Note we present the basic features of the theory of Lipschitz maps within Carnot groups as i...
Concurrence of lines. An extremely common theme in plane geometry is that of proving the concurrence...
The Euler line of a triangle passes through several important points, including three specific trian...
We analyze some properties of a class of multiexponential maps appearing naturally in the geometric ...
We present various results about the combinatorial properties of line arrangements in terms of the C...