[Maxima-discuss] Intersection of two circles

[<wil...@ht...>]

Hi,


I have noticed, that Maxima cannot calculate the intersection of two circles:


k1:(x+1)**2/4+(y-3)**2/4=1;
k2:(x-2)**2/4+(y-2)**2/4=1;

algsys([k1,k2],[x,y]);


gives an empty list, althougth these circle actually have intersections.

AThe intersection with an ellipse


k1:(x+1)**2/4+(y-3)**2/4=1;
k2:(x-2)**2/4+(y-2)**2/5=1;

algsys([k1,k2],[x,y]);


gives a (supposedly numerically calculated) result.

I fear, that reveals a severe deficiency of solve/algsys.


Has anyone encountered a similar behavior or a solution for that?


Thanks in advance,

Wilhelm Haager