(i) dt ds The ar =kn

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Proof 1st part

(i)
dt
—
ds
Serret Frenet formulae :
The arc length derivatives of all fundamental vectors t, n, b are given by
dn
ds
=kn
db
—
ds
=-T/1
=tb-kt
Transcribed Image Text:(i) dt — ds Serret Frenet formulae : The arc length derivatives of all fundamental vectors t, n, b are given by dn ds =kn db — ds =-T/1 =tb-kt
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