Catenary Curve

Catenary curve has a u-shaped curve and can be represented by a hanging chain or cable under its own weight and supported only at it's ends.

Catenary Curve formula
$y \;=\; \dfrac{ a}{2 } \cdot \left( ^a\sqrt{e^x} + \dfrac{ 1}{^a\sqrt{e^x} } \right)$
Symbol	English	Metric
$y$ = y-coordinate	$dimensionless$	$dimensionless$
$a$ = parameter	$dimensionless$	$dimensionless$
$e$ = Euler number	$2.718 281 828 ...$	$2.718 281 828 ...$
$x$ = x-coordinate	$dimensionless$	$dimensionless$