geometry - Maple Help

Home : Support : Online Help : Mathematics : Geometry : 2-D Euclidean : Point Functions : geometry/diameter

geometry

 diameter
 compute the diameter of points on a plane

 Calling Sequence diameter(g)

Parameters

 g - list or set of points

Description

 • The routine computes the diameter of a given set or list of points g. The output is a list of three elements where the first two elements are two points denoting the two endpoints of the diameter of g, the third element the distance between these two endpoints.
 • To find the diameter of a list or set of points, the coordinates of the points must be numeric.
 • The command with(geometry,diameter) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{point}\left(A,0,0\right),\mathrm{point}\left(B,2,0\right),\mathrm{point}\left(C,1,3\right),\mathrm{point}\left(F,1,6\right):$
 > $\mathrm{point}\left(M,\sqrt{2},3\right):$
 > $\mathrm{ps}≔\left[A,B,C,F,M\right]:$
 > $\mathrm{diameter}\left(\mathrm{ps}\right)$
 $\left[{B}{,}{F}{,}\sqrt{{37}}\right]$ (1)