# Syntractrix

${\displaystyle x+{\sqrt {b^{2}-y^{2}}}=a\ln {\frac {b+{\sqrt {b^{2}-y^{2}}}}{y}}.}$[1]
The syntractrix for ${\displaystyle a=0.5}$ and ${\displaystyle b=1.}$
The syntractrix for ${\displaystyle a=1.5}$ and ${\displaystyle b=1.}$