Pitch of Helix/Examples/Circular Helix
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Example of Pitch of Helix
Consider the circular helix $\HH$ whose parametric equation is given as:
- $\begin{cases}
x & = a \cos t \\ y & = a \sin t \\ z & = b t \\ \end{cases}$
The pitch of $\HH$ is $\dfrac {2 \pi} b$.
Proof
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): helix
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): helix