Abstract: Interchangable line tensioning by bending or folding of a pre-strung line as well as a line having an accessible working end is taught by the method of this invention which advantageously uses apparatus embodied in a non-captive, unitary, passive line tensioning apparatus to shorten line by selectively engaging the line with three engaging members in a spaced-apart triangular array. The three engaging members are selected from a plurality of spaced-apart, selectively-engagable engaging members so as to provide a desired amount of tensioning when the engaged line forms a releasable sigmoid bend secured against accidental detensioning. A removably-captive embodiment of the line tensioner is also disclosed.