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the ratio of PR to QS is 1:1 because they are congruent (equal)
If you draw a picture, you will see that PQRS is a parallelogram.
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Note that this just produces three parametric equations:
In the
plane, this is just he parametric equation for an ellipse (as a function of u). The z is simply a linear function.
The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.
In the
The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.