Space curves: Curvature and torsion
This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems...
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1976
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oai:animorepository.dlsu.edu.ph:etd_bachelors-155462021-11-20T09:54:20Z Space curves: Curvature and torsion Velez, Ma. Milagros A. This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems and proofs such as the following fundamental theorem: Let k(s) 0 and t(s) be defined in I = & s: 0 s r . If k(s) and t(s) are continuous functions on I, then there exists a curve C: r 1976-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/15033 Bachelor's Theses English Animo Repository Calculus |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Calculus |
| spellingShingle |
Calculus Velez, Ma. Milagros A. Space curves: Curvature and torsion |
| description |
This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems and proofs such as the following fundamental theorem: Let k(s) 0 and t(s) be defined in I = & s: 0 s r . If k(s) and t(s) are continuous functions on I, then there exists a curve C: r |
| format |
text |
| author |
Velez, Ma. Milagros A. |
| author_facet |
Velez, Ma. Milagros A. |
| author_sort |
Velez, Ma. Milagros A. |
| title |
Space curves: Curvature and torsion |
| title_short |
Space curves: Curvature and torsion |
| title_full |
Space curves: Curvature and torsion |
| title_fullStr |
Space curves: Curvature and torsion |
| title_full_unstemmed |
Space curves: Curvature and torsion |
| title_sort |
space curves: curvature and torsion |
| publisher |
Animo Repository |
| publishDate |
1976 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/15033 |
| _version_ |
1772835056852664320 |