Topic
Viviani's curve
About: Viviani's curve is a research topic. Over the lifetime, 2 publications have been published within this topic receiving 1 citations.
Papers
30 Jun 2020
TL;DR: In this article, the vectorial moments of the alternative vectors are expressed in terms of alternative frame and the parametric equations of the closed ruled surfaces corresponding to the (^N), (^C); (^W) dual curves are given.
Abstract: In this paper, the vectorial moments of the alternative vectors are expressed in terms of alternative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces corresponding to the (^N); (^C); (^W) dual curves are given. The integral invariants of the these surfaces are computed and illustrated by presenting with examples.
11 citations
[...]
1 Jan 2011
TL;DR: In this paper, the authors examined the properties of the Viviani's curve and its properties, such as: the length, the curvature, the area of the sphere figure bounded by the curve, and the volume of the solid below the area.
Abstract: The diploma thesis deals with Viviani's curve. It comprises several interesting calculations of mathematical quantities, which can be connected with the curve mentioned above. The purpose of the thesis is to examine Viviani's curve and its properties, such as: the length, the curvature, the area of the sphere figure bounded by the curve, and the volume of the solid below the area.
Additionally we have set the stereographic projection of Viviani's curve, which is a well-known third order algebraic curve, and we have done some calculations. In conclusion we have completed the thesis with two different geometrical constructions.
1 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 1 |
| 2011 | 1 |