2 citations · 2 across the 4 of their papers we have counts for
4 papers
A new family of curves in space
Héctor Efrén Guerrero Mora
This article defines a new family of curves in space, whose graphs generate shapes similar to whirls. An intrinsic equation is found, in terms of curvature and torsion, which gives…
Classification of geodesics on a cone in space
Héctor Efrén Guerrero Mora
This article presents a new way to classify geodesics on a cone in the Euclidean 3-space. This proof is obtained considering our main result, which establishes the necessary and su…
A proof of the fundamental theorem of curves in space and its applications
Héctor Efrén Guerrero Mora
We give a necessary and suficente condition for the existence of a space curve with curvature and torsion finding a solution of a nonlinear differential equation of second…
Intrinsic representation curves
Héctor Efrén Guerrero Mora
The purpose of this article is to find a family of curves parametrized by arc length and that depend on an angular function and an intrinsic fraction function, which is defined as…