public void Presek(Krug k1, Tacka[] Tacke, ObjekatInfo[] Objekti)
{
if (Math.Abs(this.Centar.Y - k1.C.Y) < GeoGebra.eps)
{
if (Math.Abs(this.Centar.X - k1.C.X) < GeoGebra.eps)
{
return;
}
double x = (this.R * this.R - k1.R * k1.R + k1.Centar.X * k1.Centar.X - this.Centar.X * this.Centar.X) / (2 * (k1.Centar.X - this.Centar.X));
double b = (-2) * this.Centar.Y;
double c = (x - this.Centar.X) * (x - this.Centar.X) - this.R * this.R;
if (b * b - 4 * c < 0)
{
return;
}
if (b * b - 4 * c < GeoGebra.eps)
{
GeoGebra.DodajTacku(new Tacka(x, (-b) / 2, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
}
else
{
double y = (-b + Math.Sqrt(b * b - 4 * c)) / 2;
GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
y = (-b - Math.Sqrt(b * b - 4 * c)) / 2;
GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
return;
}
}
double k = (this.Centar.X - k1.Centar.X) / (k1.Centar.Y - this.Centar.Y);
double n = (this.R * this.R - k1.R * k1.R + k1.Centar.X * k1.Centar.X - this.Centar.X * this.Centar.X + k1.Centar.Y * k1.Centar.Y - this.Centar.Y * this.Centar.Y) / (2 * (k1.Centar.Y - this.Centar.Y));
Prava p = new Prava(k, n, "");
this.Presek(p, Tacke, Objekti);
}
public virtual void Presek(Krug s, Tacka[] Tacke, ObjekatInfo[] Objekti)
{
if (s.Centar.Rastojanje(this) - s.R > GeoGebra.eps)
{
return;
}
double a = 1 + this.K * this.K;
double b = -2 * s.Centar.X + 2 * this.K * this.N - 2 * this.K * s.Centar.Y;
double c = s.Centar.X * s.Centar.X + this.N * this.N + s.Centar.Y * s.Centar.Y - 2 * this.N * s.Centar.Y - s.R * s.R;
if (Math.Abs(s.Centar.Rastojanje(this) - s.R) < GeoGebra.eps)
{
double x = (-b) / (2 * a);
double y = this.K * x + this.N;
GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
return;
}
if (s.R - s.Centar.Rastojanje(this) > GeoGebra.eps)
{
double x = ((-b) + Math.Sqrt(b * b - 4 * a * c)) / (2 * a);
double y = this.K * x + this.N;
GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
x = ((-b) - Math.Sqrt(b * b - 4 * a * c)) / (2 * a);
y = this.K * x + this.N;
GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
return;
}
}
public Krug InverzijaNeProlazi(Krug k1)
{
return(new Krug(this.Inverzija(new Tacka(k1.Centar.X - k1.R, k1.Centar.Y, "", Color.Black)), this.Inverzija(new Tacka(k1.Centar.X + k1.R, k1.Centar.Y, "", Color.Black)), this.Inverzija(new Tacka(k1.Centar.X, k1.Centar.Y - k1.R, "", Color.Black)), "k" + (Krug.NK + 1).ToString()));
}
public Prava InverzijaProlazi(Krug k1)
{
return(new Prava(this.Inverzija(this.Centar.Rotacija(k1.Centar, Math.PI / 2)), this.Inverzija(this.Centar.Rotacija(k1.Centar, -Math.PI / 2)), "p" + (Prava.NP + 1).ToString()));
}