query: A curve with constant curvature and torsion
positive_passages.docid: 155166
positive_passages.text: Given the curvature and torsion, find the curve
negative_passages.docid: 68939
negative_passages.text: Derivative and vector for start of curve are orthogonal to fixed vector, hence the curve is
negative_passages.docid: 15287
negative_passages.text: Proving that second derivative is perpendicular to curve
negative_passages.docid: 442
negative_passages.text: Uniform Circular Motion
negative_passages.docid: 128486
negative_passages.text: Reduce Curve Deformation
negative_passages.docid: 84686
negative_passages.text: Geometric Description Of a Set In The Complex Plane
negative_passages.docid: 55652
negative_passages.text: Fundamental group of the torus
negative_passages.docid: 24976
negative_passages.text: An uniformly charged infinite surface plane
negative_passages.docid: 66494
negative_passages.text: Curvature of a curve on a sphere
negative_passages.docid: 118663
negative_passages.text: Looking for a Simple Argument for "Integral Curve Starting at A Singular Point is Constant"
negative_passages.docid: 146519
negative_passages.text: gaussian and mean curvatures
negative_passages.docid: 139368
negative_passages.text: Best fitting in a curve of the form $Ax^B+C$
negative_passages.docid: 119796
negative_passages.text: Group Law for an Elliptic curve
negative_passages.docid: 46358
negative_passages.text: geometric interpretation of $\vec v \cdot \operatorname{curl} \vec v = 0 $
negative_passages.docid: 90365
negative_passages.text: Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group
negative_passages.docid: 93314
negative_passages.text: At what point is the curvature of $y=-\ln(x)$ maximal?
negative_passages.docid: 120410
negative_passages.text: Three normals of a hyperbola passing through the same point on the curve