<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point of the curve. In this paper, we have studied the Siacci’s theorem for the curves on regular surfaces in 3-dimensional Euclidean space. Also, an example is given for a helix lying on a cylinder.</p></abstract>

The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point of the curve. In this paper, we have studied the Siacci’s theorem for the curves on regular surfaces in 3-dimensional Euclidean space. Also, an example is given for a helix lying on a cylinder.

Siacci's Theorem According to Darboux Frame

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Siacci's Theorem According to Darboux Frame"}

The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration...

Siacci's Theorem According to Darboux Frame

Published Online: Mar 31, 2018

Page range: 155 - 165

Received: Dec 14, 2016

Accepted: Jan 31, 2017

DOI: https://doi.org/10.1515/auom-2017-0042

Keywords
Kinematics, Siacci's theorem, Darboux frame

© 2018

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

Siacci's Theorem According to Darboux Frame

Published Online: Mar 31, 2018

Page range: 155 - 165

Received: Dec 14, 2016

Accepted: Jan 31, 2017

DOI: https://doi.org/10.1515/auom-2017-0042

KeywordsKinematics, Siacci's theorem, Darboux frame

© 2018

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

Keywords
Kinematics, Siacci's theorem, Darboux frame