Compute the Frenet apparatus k, 7, T, N and B of the following curve a(s) = (1 - 12 √2 cos s, 3+ cos s, sin s). 2 Show that this curve is a circle and find its center and radius.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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DIFFERENTIAL GEOMETRY

 

1. Compute the Frenet apparatus k, t,T, N and B of the following curve
a(s) = (1 -
COs s, 3 +
2
cos s, sin s).
Show that this curve is a circle and find its center and radius.
Transcribed Image Text:1. Compute the Frenet apparatus k, t,T, N and B of the following curve a(s) = (1 - COs s, 3 + 2 cos s, sin s). Show that this curve is a circle and find its center and radius.
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