# Definition of an exercise ruler & compass.
# syntax of the file.
# points:  each line defines a point.  x,y
# lines:   each line defines two points on a line.   x1,y1,x2,y2,type
#          type: 1 (segment), 2 (line), 3 (semiline direct), 4 (semiline inverse)
#	   type is facultative, defaulting to 1.
# circles: each line defines a circle. x,y,r,n
#	   where (x,y) is the center, r=radius,
#          n is the number of point for the center (if n>0).
# goal: each line defines an object. First item is the type of the object
# (point,line or circle), the rest are parameters (same as above).
# goal_text: text explaining the goal. (language-dependent)

title=Centre circonscrit d'un triangle

a=!random 0,2*pi
a1=!random pi/6,2*pi/3
a2=!random 2*$a1,2*pi-$a1

points=10*cos($a),10*sin($a)\
10*cos($a+$a1),10*sin($a+$a1)\
10*cos($a+$a2),10*sin($a+$a2)
lines=10*cos($a),10*sin($a),10*cos($a+$a1),10*sin($a+$a1),1\
10*cos($a+$a1),10*sin($a+$a1),10*cos($a+$a2),10*sin($a+$a2),1\
10*cos($a+$a2),10*sin($a+$a2),10*cos($a),10*sin($a),1

goal=point,0,0
goal_text=trouver le centre du cercle circonscrit du triangle 1 2 3
hint=Le centre du cercle circonscrit d'un triangle est le point commun des 
trois mdiatrices des cts. Comme ces trois\
mdiatrices passent par un mme point, il vous suffit d'en tracer deux, puis\
marquer l'intersection.
solution=midper,1,2\
midper,2,3\
midper,3,1\
point,line,4,line,5
