Abstract
The aim of this paper is to study the differential geometric properties of the intersection curve of two parametric surfaces in Euclidean n-space. For this aim, we first present the mth order derivative formula of a curve lying on a parametric surface. Then, we obtain curvatures and Frenet vectors of the transversal intersection curve of two parametric surfaces in Euclidean n-space. We also provide computer code produced in MATLAB to simplify determining the coefficients relative to Frenet frame of higher order derivatives of a curve.
Keywords
Frenet–Serret formulas
Intersection (aeronautics)
Parametric equation
Parametric statistics
Euclidean geometry
Mathematics
Parametric surface
Euclidean space
Mathematical analysis
Space (punctuation)
Surface (topology)
Geometry
Curvature
Computer science
Subject Areas
Advanced Numerical Analysis Techniques
·Computational Mechanics ·Physical Sciences
Citations by Year
2023: 1
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