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
\( y \;=\; ( a\;/\;2 ) \; [\; ^a\sqrt{e^x} + (1\;/\;^a\sqrt{e^x} ) \; ] \)
Symbol	English	Metric
\( y \) = y-coordinate	\( dimensionless \)
\( a \) = parameter	\( dimensionless \)
\( e \) = Euler number	\( 2.718 281 828 ... \)
\( x \) = x-coordinate	\( dimensionless \)