45 citations · 46 across the 3 of their papers we have counts for
3 papers
math.DG2013★ 1 cited
The trisector curve is transcendental
J. Monterde, F. Ongay
We show that the distance trisector curve is not an algebraic curve, as was conjectured in the founding paper by T. Asano, J. Matousek and T. Tokoyama: "The distance trisector curv…
math.GT2005
A Characterization of Quintic Helices
J. V. Beltran, J. Monterde
A polynomial curve of degree 5, , is a helix, if and only if both $||α^'||$ and $||α^'\wedge α^{''}||$ are polynomial functions.
math.DG2004★ 45 cited
Curves with constant curvature ratios
J. Monterde
Curves in for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat t…