<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

Online veröffentlicht: 31. März 2018

Seitenbereich: 155 - 165

Eingereicht: 14. Dez. 2016

Akzeptiert: 31. Jan. 2017

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

Schlüsselwörter
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

Online veröffentlicht: 31. März 2018

Seitenbereich: 155 - 165

Eingereicht: 14. Dez. 2016

Akzeptiert: 31. Jan. 2017

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

SchlüsselwörterKinematics, Siacci's theorem, Darboux frame

© 2018

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

Schlüsselwörter
Kinematics, Siacci's theorem, Darboux frame