In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also obtain Cartesian and parametric equations of these curves and illustrate some special cases. Finally, we investigate the hyperbolic Ball point, the ordinary and the sixth-order Burmester points in the case of a finite instant pole.https://doi.org/10.1177/108128651561628
This note shows that in the hyperbolic plane three kinds of coordinates are possible
summary:The paper deals with one-parametric projective plane motins with the property that all point...
International audienceWe investigate the vertex curve, that is the set of points in the hyperbolic r...
In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflecti...
The objective of this study is to take advantage of using the concept of complex numbers for instant...
This work re-examines some classical results in the kinematics of points in space using modern vecto...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
Abstract. In Euclidean geometry the vertices P of those angles ∠APB of size α that pass through the ...
In this paper we study the isoptic curves on the hyperbolic plane. This topic is widely investigated...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
In dieser Arbeit wurde gezeigt, daß der geometrische Ort der möglichen Schraubachsen in einer Verbin...
In [10] one-parameter planar motion was first introduced and the relations between absolute, relativ...
In this paper, we investigate the inflection circle, circling-point curve, and center-point curve fo...
An asymptotic curve on a surface in a three-dimensional Euclidean or projective space is an integral...
We study hyperbolic invariants of hyperbolic plane curves as applications of the singularity theory ...
This note shows that in the hyperbolic plane three kinds of coordinates are possible
summary:The paper deals with one-parametric projective plane motins with the property that all point...
International audienceWe investigate the vertex curve, that is the set of points in the hyperbolic r...
In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflecti...
The objective of this study is to take advantage of using the concept of complex numbers for instant...
This work re-examines some classical results in the kinematics of points in space using modern vecto...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
Abstract. In Euclidean geometry the vertices P of those angles ∠APB of size α that pass through the ...
In this paper we study the isoptic curves on the hyperbolic plane. This topic is widely investigated...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
In dieser Arbeit wurde gezeigt, daß der geometrische Ort der möglichen Schraubachsen in einer Verbin...
In [10] one-parameter planar motion was first introduced and the relations between absolute, relativ...
In this paper, we investigate the inflection circle, circling-point curve, and center-point curve fo...
An asymptotic curve on a surface in a three-dimensional Euclidean or projective space is an integral...
We study hyperbolic invariants of hyperbolic plane curves as applications of the singularity theory ...
This note shows that in the hyperbolic plane three kinds of coordinates are possible
summary:The paper deals with one-parametric projective plane motins with the property that all point...
International audienceWe investigate the vertex curve, that is the set of points in the hyperbolic r...