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Wednesday, February 17, 2016

Differential Geometry of Curves and Surfaces - Chapter 1 Section 2 Exercise 3

Problem:


Solution:

Note that $ \alpha''(t) = 0 \implies \alpha'(t) = (a, b, c) $ is constant independent of t, so $ \alpha(t) = (at + x_0, bt + y_0, ct + z_0) $ is a straight line.

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