ELLIPSE, SINUSOID & CYLINDER

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The profile of a sinusoidal curve (y=A sin(Bx+C)+D) is the curve which corresponds to the elliptical section of a cylinder.

How long are the semi-axes of the ellipse corresponding to the sinusoidal curve y= sin x (0£x£2p)?

 Ellipses in cylinders

Index

Viviani's boult