P-51 A space curve satisfying t/k = t

Presenter Information

Ye Lim Seo, Andrews UniversityFollow

Abstract

In 1802, Lancret stated that a necessary and sufficient condition for a curve to be a general helix is that the ratio t/k be constant where k is the curvature and t is the torsion of the curve. My goal is to investigate the case when the ration t/k is a linear function, i.e. t/k = t.

Acknowledgments

Undergraduate Research Scholar

Advisor: Yun Myung Oh, Mathematics

Location

Buller Hallway

Start Date

3-7-2014 2:30 PM

End Date

3-7-2014 4:00 PM

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Mar 7th, 2:30 PM Mar 7th, 4:00 PM

P-51 A space curve satisfying t/k = t

Buller Hallway

In 1802, Lancret stated that a necessary and sufficient condition for a curve to be a general helix is that the ratio t/k be constant where k is the curvature and t is the torsion of the curve. My goal is to investigate the case when the ration t/k is a linear function, i.e. t/k = t.