SyntractrixFrom Wikipedia, the free encyclopedia A syntractrix is a curve of the form x + b 2 − y 2 = a ln b + b 2 − y 2 y . {\displaystyle x+{\sqrt {b^{2}-y^{2}}}=a\ln {\frac {b+{\sqrt {b^{2}-y^{2}}}}{y}}.} [1] The syntractrix for a = 0.5 {\displaystyle a=0.5} and b = 1. {\displaystyle b=1.} The syntractrix for a = 1.5 {\displaystyle a=1.5} and b = 1. {\displaystyle b=1.} It is the locus of a point on the tangent of a tractrix at a constant distance from the point of tangency, as the point of tangency is moved along the curve.[2]
A syntractrix is a curve of the form x + b 2 − y 2 = a ln b + b 2 − y 2 y . {\displaystyle x+{\sqrt {b^{2}-y^{2}}}=a\ln {\frac {b+{\sqrt {b^{2}-y^{2}}}}{y}}.} [1] The syntractrix for a = 0.5 {\displaystyle a=0.5} and b = 1. {\displaystyle b=1.} The syntractrix for a = 1.5 {\displaystyle a=1.5} and b = 1. {\displaystyle b=1.} It is the locus of a point on the tangent of a tractrix at a constant distance from the point of tangency, as the point of tangency is moved along the curve.[2]