Provlhma lykeiou

[UNPAIKTABLE]

Asxoloumai paidia ;p apla exw parei xarti kai molyvi kai prospathw na to lysw.. sas efxaristw

[Dvs]

Kai mia mikri idea: Gia na liseis ligotera sistimata (kai na min taleporise ) an 2 euthies exoun idio l (lamda einai auto) tote einai paralliles kai to sistima den exei lisi

[UNPAIKTABLE]

that's dead obvious but thx

[georgepetrou]

To elises UNPAIKTABLE? Telika ti evgales?

[UNPAIKTABLE]

apla elysa ta 9 systhmata twn 9 pithanwn shmeiwn tomhs twn dyo trigwnwn.. alla prepei na koitaksw ligo ton kwdika sta systhmata giati otan ta zwgrafizw den einai akrivws o,ti perimena atimo debugging

[paparoupas]

To idio provlima sto xoro, mono me dianysmata lynetai....

[hayzel]

Den einai poli ortho na liseis tis eksisoseis ton eutheion gia na breis an ena trigono temnei ena allo giati iparxei i periptosi na min bgaleis apotelesma epeidi oi eksisoseis eutheion exoun to problima tis aoristias gia eutheia me klisi 90 moiron.

Ego xrisimopoio to eksis:

 

double LinearPoints(double x1, double y1, double x2, double y2, double x3, double y3)

{

double l1;

l1=-x2*y3+x3*y2+x1*(y3-y2)-y1*(x3-x2);

return(l1);

}

 

double AreaOfTriangle(double x1, double y1, double x2, double y2, double x3, double y3)

{

double e1;

e1=fabs(LinearPoints(x1,y1,x2,y2,x3,y3))/2;

return(e1);

}

 

int InTriangleQuestion(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4)

{

double e1,e2,e3,e4;

e1=AreaOfTriangle(x1,y1,x2,y2,x4,y4);

e2=AreaOfTriangle(x1,y1,x3,y3,x4,y4);

e3=AreaOfTriangle(x2,y2,x3,y3,x4,y4);

e4=AreaOfTriangle(x1,y1,x2,y2,x3,y3);

if(e1==0&&e2==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(101); // node 1

if(e2==0&&e3==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(103); // node 3

if(e3==0&&e1==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(102); // node 2

if(e1==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(12); // side 1-2

if(e2==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(13); // side 1-3

if(e3==0&&fabs(e4-e1-e2-e3)<0.00000000001) return(23); // side 2-3

if(fabs(e4-e1-e2-e3)<0.00000000001) return(1); // in triangle

return(0); // out of the triangle

}

 

Trexeis to InTriangleQuestion gia na theskareis gia kathe simeio tou deuterou trigonou ean brisketai mesa sto proto trigono.

Ean simbainei auto mporeis na xrisimopoihseis tin eksisosi eutheion gia na breis ta simeia.

An A(x1,y1,x2,y2,x3,y3)

kai B(x4,y4,x5,y5,x6,y6)

ta dio trigona tote:

Kaneis tous elegxous:

InTriangleQuestion(x1,y1,x2,y2,x3,y3,x4,y4)

InTriangleQuestion(x1,y1,x2,y2,x3,y3,x5,y5)

InTriangleQuestion(x1,y1,x2,y2,x3,y3,x6,y6)

kai me auton ton tropo briskeis kai tis periptoseis pou simeia ton dio trigonon simpiptoun...

 

filika hayzel