Arc Length (AKA Length of a Curve)
Автор: Christopher Lum
Загружено: 2023-10-16
Просмотров: 1365
In this video we discuss how to compute the length of an arbitrary curve using analytical methods. We derive the expression using basic calculus approaches and then look at examples of computing the length of curves using a simple description of a curve as well as with a more complicated parametric representation of a curve.
Topics and timestamps:
0:00 – Derivation of arc length for simple function description
8:00 – Example of a circular arc
11:44 – Derivation of arc length for a parametric description
17:27 – Example of a circular arc (revisted)
20:07 – Example of a circular helix
Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/...
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