We recall the ancient notion of arbelos and introduce a number of concepts generalizing it. We follow the ideas presented by J. Sondow in his article on parbelos, the parabolic analogue of the classic arbelos. Our concepts concern the curves constructed of arcs which resemble each other and surfaces obtained in a similar way. We pay special attention to ellarbelos, the curves built of semi-ellipses, because of their possible application in engineering, e.g. in determining the static moments of arc rod constructions or in problems of structural stability and durability of constructions
Durante centenas de anos vários matemáticos se debruçaram sobre o problema de obter o postulado 5 d...
Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric eq...
Submitted to the Department of Mathematics and the Faculty of the Graduate School of the University ...
The arbelos is the shape bounded by three mutually tangent semi-circles with collinear diameters. Re...
Abstract. We construct some new Archimedean circles in an arbelos in connec-tion with the nine-point...
Abstract. We explore the arbelos to find more Archimedean circles and sev-eral infinite families of ...
Abstract. We construct 4 circles in the arbelos which are congruent to the Archimedean twin circles....
The present bachelor thesis proposes several captivating planar objects and their utilization in hig...
Abstract. We consider the inversive images, with respect to the incircle of an arbelos, of the three...
Abstract. We give several simple constructions of the incircle of an arbelos, also known as a shoema...
Magistrsko delo obravnava arbelos, parabelos in f-belos. Izhodišče predstavlja arbelos, to je lik om...
Abstract. We construct two more pairs of Archimedes circles analogous to those of Frank Power, in ad...
Abstract. We generalize the Archimedean circles in an arbelos (shoemaker’s knife) given by Thomas Sc...
In this work we will deal with ellipses and ovals, comparing them both from the geometric point of v...
This Demonstration shows how the arcs of a circle can be approximated with 1-4 Bézier curves. Each B...
Durante centenas de anos vários matemáticos se debruçaram sobre o problema de obter o postulado 5 d...
Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric eq...
Submitted to the Department of Mathematics and the Faculty of the Graduate School of the University ...
The arbelos is the shape bounded by three mutually tangent semi-circles with collinear diameters. Re...
Abstract. We construct some new Archimedean circles in an arbelos in connec-tion with the nine-point...
Abstract. We explore the arbelos to find more Archimedean circles and sev-eral infinite families of ...
Abstract. We construct 4 circles in the arbelos which are congruent to the Archimedean twin circles....
The present bachelor thesis proposes several captivating planar objects and their utilization in hig...
Abstract. We consider the inversive images, with respect to the incircle of an arbelos, of the three...
Abstract. We give several simple constructions of the incircle of an arbelos, also known as a shoema...
Magistrsko delo obravnava arbelos, parabelos in f-belos. Izhodišče predstavlja arbelos, to je lik om...
Abstract. We construct two more pairs of Archimedes circles analogous to those of Frank Power, in ad...
Abstract. We generalize the Archimedean circles in an arbelos (shoemaker’s knife) given by Thomas Sc...
In this work we will deal with ellipses and ovals, comparing them both from the geometric point of v...
This Demonstration shows how the arcs of a circle can be approximated with 1-4 Bézier curves. Each B...
Durante centenas de anos vários matemáticos se debruçaram sobre o problema de obter o postulado 5 d...
Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric eq...
Submitted to the Department of Mathematics and the Faculty of the Graduate School of the University ...