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Determine the circum-center of a 2D triangle?

 

Code:

procedure Circumcenter(x1, y1, x2, y2, x3, y3: Double; var Px, Py: Double);

var

A, C, B, D, E, F, G: Double;

begin

A := x2 - x1;

B := y2 - y1;

C := x3 - x1;

D := y3 - y1;

E := A * (x1 + x2) + B * (y1 + y3);

F := C * (x1 + x2) + D * (y1 + y3);

G := 2.0 * (A * (y3 - y2) - B * (x3 - x2));

if G = 0 then

   Exit;

Px := (D * E - B * F) / G;

Py := (A * F - C * E) / G;

end;

 

©Drkb::04113

Взято с сайта http://www.swissdelphicenter.ch/en/tipsindex.php


Determine the incenter of a 2D triangle?

Code:

procedure Incenter(x1, y1, x2, y2, x3, y3: Double; var Px, Py: Double);

var

Perim: Double;

Side12: Double;

Side23: Double;

Side31: Double;

begin

Side12 := Distance(x1, y1, x2, y2);

Side23 := Distance(x2, y2, x3, y3);

Side31 := Distance(x3, y3, x1, y1);

 

{ using Heron's S=UR }

Perim := 1 / (Side12 + Side23 + Side31);

Px := (Side23 * x1 + Side31 * x2 + Side12 * x3) * Perim;

Py := (Side23 * y1 + Side31 * y2 + Side12 * y3) * Perim;

end;

 

 

©Drkb::04114

Взято с сайта http://www.swissdelphicenter.ch/en/tipsindex.php