<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

Data publikacji: 31 mar 2018

Zakres stron: 155 - 165

Otrzymano: 14 gru 2016

Przyjęty: 31 sty 2017

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

Słowa kluczowe
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

Data publikacji: 31 mar 2018

Zakres stron: 155 - 165

Otrzymano: 14 gru 2016

Przyjęty: 31 sty 2017

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

Słowa kluczoweKinematics, Siacci's theorem, Darboux frame

© 2018

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

Słowa kluczowe
Kinematics, Siacci's theorem, Darboux frame