Array ( [0] => Array ( [title] => L3A [link] => https://www.youtube.com/embed/tcO8YEVY-pQ ) [1] => Array ( [title] => L3B [link] => https://www.youtube.com/embed/49RM6M7e5MM ) [2] => Array ( [title] => L3C [link] => https://www.youtube.com/embed/HZ9AYrVTAH4 ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第3講 The Local Theory of Curves Parametrized by Arc Length (cont.)

Title

第3講 The Local Theory of Curves Parametrized by Arc Length (cont.)

第1節

L3A

第2節

L3B

第3節

L3C

Syllabus

章節大綱

L3A
       1. Definition: Torsion of a Curve Parametrized by Arc Length
       2. Derivation: Frenet Formula
 
L3B
       1. Definition: Normal Plane and Rectifying Plane
       2. Example: Helix
 
L3C
       1. Theorem: A Curve with Positive Curvature Is a Plane Curve
           if and only if Its Torsion Is Identically Zero