Eulers Spiral and the Zylinder - page 3

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I am not saying that every real sine wave is derived from complex waves but rather that this is another possible mecahnism for doing so.

In the images Euler Spiral and Zylinder 3 a I take the example of a real sine wave and show the imaginary components needed to generate it.
The same wave method can be used to create exponential real waves too but I have not shown this.

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