A straight line is technically a circle…

A straight line is actually a circle with an infinite radius


circle

A circle of radius r whose center is at (r,0) has the parametric form

x=r (1 − cos(θ / r)) y= r sin( θ / r)

the limit of the curve in (1) as r→∞ is

x=0 y=θ

A vertical line…

[Source]

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