#### Poster Title

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

#### 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*.

#### Location

Buller Hallway

#### Start Date

3-7-2014 2:30 PM

#### End Date

3-7-2014 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*.

## Acknowledgments

Undergraduate Research Scholar

Advisor: Yun Myung Oh, Mathematics