Example #1
0
 public override Tacka Presek(Duz d)
 {
     if ((Math.Abs(this.K - d.K) > GeoGebra.eps) && ((d.N - this.N) / (this.K - d.K) - Math.Min(this.Tacka1.X, this.Tacka2.X) > -2 * GeoGebra.eps) && (Math.Max(this.Tacka1.X, this.Tacka2.X) - (d.N - this.N) / (this.K - d.K) > -2 * GeoGebra.eps) && ((d.N - this.N) / (this.K - d.K) - Math.Min(d.Tacka1.X, d.Tacka2.X) > -2 * GeoGebra.eps) && (Math.Max(d.Tacka1.X, d.Tacka2.X) - (d.N - this.N) / (this.K - d.K) > -2 * GeoGebra.eps))
     {
         return(new Tacka((d.N - this.N) / (this.K - d.K), (this.K * d.N - d.K * this.N) / (this.K - d.K), "A" + (Tacka.NT + 1).ToString(), Color.DarkGray));
     }
     return(null);
 }
Example #2
0
 public double Ugao(Duz d)
 {
     if ((Math.Abs(this.K - d.K) < GeoGebra.eps) && (Math.Abs(this.N - d.N) < GeoGebra.eps))
     {
         return(0);
     }
     if (Math.Abs(this.K - d.K) < GeoGebra.eps)
     {
         return(-1);
     }
     return(Math.Round(Math.Min(Math.Abs(Math.Atan(this.K) - Math.Atan(d.K)), Math.PI - Math.Abs(Math.Atan(this.K) - Math.Atan(d.K))) * 360 / (2 * Math.PI), 2));
 }
Example #3
0
        public void PravilanMnogougao(int n1, Tacka[] Tacke, Duz[] Duzi, ObjekatInfo[] Objekti)
        {
            Duz    d  = this;
            double Fi = Math.PI - 2 * Math.PI / n1;

            for (int i = 1; i < n1; i++)
            {
                GeoGebra.DodajDuz(new Duz(d.Tacka2.Rotacija(d.Tacka1, Fi), d.Tacka1), Duzi, Objekti);
                GeoGebra.DodajTacku(Duzi[Duz.ND - 1].Tacka1, Tacke, Objekti);
                d = new Duz(d.Tacka2.Rotacija(d.Tacka1, Fi), d.Tacka1);
            }
            Tacke[Tacka.NT - 1] = null;
            Tacka.NT--;
            Objekti[Tacka.NT + Prava.NP + Duz.ND + Krug.NK] = null;
            return;
        }
Example #4
0
        public Krug(Tacka A1, Tacka A2, Tacka A3, string ime)
        {
            Duz a = new Duz(A1, A2);
            Duz b = new Duz(A2, A3);

            if ((Math.Abs(b.K - a.K) < GeoGebra.eps) || (a.Ime == "-1") || (b.Ime == "-1"))
            {
                this.C   = null;
                this.r   = 0;
                this.ime = "-1";
            }
            else
            {
                this.C   = b.Simetrala().Presek(a.Simetrala());
                this.r   = C.Rastojanje(A1);
                this.ime = ime;
            }
        }
Example #5
0
 public Prava SimetralaUgla(Duz d)
 {
     if (this.Presek(d) == null)
     {
         return(null);
     }
     if (this.K < d.K)
     {
         double k1 = Math.Tan((Math.Atan(this.K) + Math.Atan(d.K)) / 2);
         double n1 = this.Presek(d).Y - k1 * this.Presek(d).X;
         return(new Prava(k1, n1, "p" + (Prava.NP + 1).ToString()));
     }
     else
     {
         double k2 = Math.Tan(Math.PI / 2 + (Math.Atan(this.K) + Math.Atan(d.K)) / 2);
         double n2 = this.Presek(d).Y - k2 * this.Presek(d).X;
         return(new Prava(k2, n2, "p" + (Prava.NP + 1).ToString()));
     }
 }
Example #6
0
        public void Presek(Duz d, Tacka[] Tacke, ObjekatInfo[] Objekti)
        {
            if (this.Centar.Rastojanje(d) - this.R > GeoGebra.eps)
            {
                return;
            }
            double a = 1 + d.K * d.K;
            double b = -2 * this.Centar.X + 2 * d.K * d.N - 2 * d.K * this.Centar.Y;
            double c = this.Centar.X * this.Centar.X + d.N * d.N + this.Centar.Y * this.Centar.Y - 2 * d.N * this.Centar.Y - this.R * this.R;

            if (Math.Abs(this.Centar.Rastojanje(d) - this.R) < GeoGebra.eps)
            {
                double x = (-b) / (2 * a);
                double y = d.K * x + d.N;
                if ((x - Math.Min(d.Tacka1.X, d.Tacka2.X) > -2 * GeoGebra.eps) && (Math.Max(d.Tacka1.X, d.Tacka2.X) - x > -2 * GeoGebra.eps))
                {
                    GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
                }
                return;
            }
            if (this.R - this.Centar.Rastojanje(d) > GeoGebra.eps)
            {
                double x = ((-b) + Math.Sqrt(b * b - 4 * a * c)) / (2 * a);
                double y = d.K * x + d.N;
                if ((x - Math.Min(d.Tacka1.X, d.Tacka2.X) > -2 * GeoGebra.eps) && (Math.Max(d.Tacka1.X, d.Tacka2.X) - x > -2 * GeoGebra.eps))
                {
                    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 = d.K * x + d.N;
                if ((x - Math.Min(d.Tacka1.X, d.Tacka2.X) > -2 * GeoGebra.eps) && (Math.Max(d.Tacka1.X, d.Tacka2.X) - x > -2 * GeoGebra.eps))
                {
                    GeoGebra.DodajTacku(new Tacka(x, y, "A" + (Tacka.NT + 1).ToString(), Color.DarkGray), Tacke, Objekti);
                }
                return;
            }
        }
Example #7
0
 public Krug(Tacka A, Duz d, string ime)
 {
     this.C   = A;
     this.r   = d.Tacka1.Rastojanje(d.Tacka2);
     this.ime = ime;
 }