p,q=map(int,input().split()) a,x=map(int,input().split()) b,y=map(int,input().split()) c,z=map(int,input().split()) a-=p b-=p c-=p x-=q y-=q z-=q if (a-b)*(y-z)-(b-c)*(x-y)==0: print("NO") exit() from fractions import Fraction p = Fraction( (a*a+x*x)*(y-z) + (b*b+y*y)*(z-x) + (c*c+z*z)*(x-y), 2 * ((a-b)*(y-z)-(b-c)*(x-y)) ) q = Fraction( - ((a*a+x*x)*(b-c) + (b*b+y*y)*(c-a) + (c*c+z*z)*(a-b)), 2 * ((a-b)*(y-z)-(b-c)*(x-y)) ) r2 = (a-p)*(a-p) + (x-q)*(x-q) assert r2 == (b-p)*(b-p) + (y-q)*(y-q) assert r2 == (c-p)*(c-p) + (z-q)*(z-q) #print(p, q, r2) if p*p + q*q == r2: print("YES") else: print("NO")