Correction TP III

class Point(object):
    def __init__(self, x, y):
        self.abs = x
        self.ord = y

    def __str__(self):
        return '(' + str(self.abs) + ' ' + str(self.ord) + ')'

    def milieu(self, other):
        x = int((self.abs + other.abs) / 2)
        y = int((self.ord + other.ord) / 2)
        return Point(x, y)

    def distance(self, other):
        return ((self.abs - other.abs)**2 + (self.ord - other.ord)**2)**.5



class TroisPoints(object):
    def __init__(self, premier, deuxieme, troisieme):
        self.premier = premier
        self.deuxieme = deuxieme
        self.troisieme = troisieme

    def __str__(self):
        return f'<{self.premier}, {self.deuxieme}, {self.troisieme}>'
        # return self.premier.__str__() + ', ' + self.deuxieme.__str__() + ', ' + self.troisieme.__str__()

    def sont_alignes(self):
        return (self.deuxieme.abs - self.premier.abs) * (self.troisieme.ord - self.premier.ord) == \
               (self.troisieme.abs - self.premier.abs) * (self.deuxieme.ord - self.premier.ord)

    def est_isocele(self):
        AB = self.premier.distance(self.deuxieme)
        BC = self.deuxieme.distance(self.troisieme)
        AC = self.premier.distance(self.troisieme)
        
        return AB == AC or AB == BC or AC == BC



class Cercle():
    def __init__(self, x, y, r):
        self.centre = Point(x, y)
        self.rayon = r

    def intersection(self, other):
        return True if (self.centre).distance(other.centre) <= self.rayon + other.rayon else False




a = Point(4, 22)
b = Point(42, 27)
c = Point(1, 2)

print(a)
print(a.distance(b))

d = TroisPoints(a, b, c)
e = TroisPoints(Point(0, 1), Point(0, 12), Point(0, 24))

print(d)
print(d.sont_alignes())
print(e.sont_alignes())

print(d.est_isocele())