The routine returns point C which is the point lying on the segment defined by two points A, B with ratio k

For a detailed description of point C, use the routine detail (i.e., detail(C))

The command with(geometry,OnSegment) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geometry}\right)\:$

$\mathrm{point}\left(A\,0\,0\right),\mathrm{point}\left(B\,2\,0\right)$

$A,B$

$\mathrm{OnSegment}\left(\mathrm{C1}\,A\,B\,1\right)$

$\mathrm{C1}$

$\mathrm{coordinates}\left(\mathrm{C1}\right)$

$\left[1\,0\right]$

$\mathrm{OnSegment}\left(\mathrm{C2}\,A\,B\,\frac{1}{2}\right)$

$\mathrm{C2}$

$\mathrm{coordinates}\left(\mathrm{C2}\right)$

$\left[\frac{2}{3}\,0\right]$