Curved lines

This evening I taught about splines.
When you start to interpolate lines
It turns out you get
A curving point set,
The basis of many designs.

Suppose I go from A to B
While you’re going from B to C
Then anyone who
Travels from me to you
Will move curvilinearly.

I really should show more reserve.
Dear reader, you do not deserve
To be plunged into math.
I have strayed from the path!
So sorry for throwing a curve.

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