Title: How to Determine the incenter of 3 pionts
procedure Incenter(const x1, y1, x2, y2, x3, y3: Double; out 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 := 1.0 / (Side12 + Side23 + Side31);
Px := (Side23 * x1 + Side31 * x2 + Side12 * x3) * Perim;
Py := (Side23 * y1 + Side31 * y2 + Side12 * y3) * Perim;
end;
(* End of Incenter *)
function Distance(const x1, y1, x2, y2: Double): Double;
var
dx: Double;
dy: Double;
begin
dx := x2 - x1;
dy := y2 - y1;
Result := Sqrt(dx * dx + dy * dy);
end;
(* End of Distance *)