<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The article describes the creation of the normal cycloidal curve by rotation of the point about the normal of the circle on the spherical surface and binormal cycloidal curve created by rotation of the point about the binormal of the previous cycloidal curve. Cycloidal cyclical surfaces are created by moving circles along the curves lying in the normal plane of the curves. Described cycloidal cyclical surfaces are projected on the spherical surface. Varying parameters of the curves are generated different ornaments on the spherical surface.</p></abstract>

The article describes the creation of the normal cycloidal curve by rotation of the point about the normal of the circle on the spherical surface and binormal cycloidal curve created by rotation of the point about the binormal of the previous cycloidal curve. Cycloidal cyclical surfaces are created by moving circles along the curves lying in the normal plane of the curves. Described cycloidal cyclical surfaces are projected on the spherical surface. Varying parameters of the curves are generated different ornaments on the spherical surface.

Cycloids on the Spherical Surface

Slovakia Civil Engineering Faculty, Institute of Construction Technology and management

Selected Scientific Papers - Journal of Civil Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Cycloids on the Spherical Surface"}

The article describes the creation of the normal cycloidal curve by rotation of the point about the normal of the circle on the spherical surface and binormal...

Cycloids on the Spherical Surface

Published Online: Jul 01, 2015

Page range: 27 - 36

DOI: https://doi.org/10.1515/sspjce-2015-0003

© 2015 Tatiana Olejníková, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.