powerpc - Maple Help

geometry

 powerpc
 compute power of a given point with respect to a given circle

 Calling Sequence powerpc(P, c)

Parameters

 P - point c - circle

Description

 • The power of point P with respect to circle c is $-{R}^{2}+{d}^{2}$ where d is the distance from point P to the center of c, and R is the radius of c.
 • The command with(geometry,powerpc) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{_EnvHorizontalName}≔a:$$\mathrm{_EnvVerticalName}≔b:$
 > $\mathrm{point}\left(A,3,0\right),\mathrm{point}\left(B,\frac{6}{7},2\right):$
 > $\mathrm{circle}\left(c,{a}^{2}+{b}^{2}=1\right):$
 > $\mathrm{powerpc}\left(A,c\right)$
 ${8}$ (1)
 > $\mathrm{powerpc}\left(B,c\right)$
 $\frac{{183}}{{49}}$ (2)