TTriangle¶

The TTriangle type is a record which stores three TPoints (A, B, C)

The order of A,B,C should not matter in any functions for it.

function TTriangle.Create(A, B, C: TPoint): TTriangle; static;

function TTriangle.Centroid(): TPoint;

Same as Mean, as mean of a triangle is also the Centroid.

function TTriangle.SymmedianPoint(): TPoint;

The symmedian point is the intersection of the symmedians (reflections of the medians across the angle bisectors).

function TTriangle.Incenter(): TPoint;

The incenter is the center of the incircle, which is the largest circle that can fit entirely inside the triangle, tangent to all three sides.

function TTriangle.Rotate(Angle: Double): TTriangle;

function TTriangle.Contains(P: TPoint): Boolean;

function TTriangle.Offset(P: TPoint): TTriangle;

function TTriangle.Extract(Points: TPointArray): TPointArray;

Returns all points that are in the triangle.

function TTriangle.Exclude(Points: TPointArray): TPointArray;

Returns all points that are not inside the triangle.

function TTriangle.Expand(Amount: Integer): TTriangle;

function TTriangle.NearestEdge(P: TPoint): TPoint;

Returns the point on the outline of the triangle which is nearest to P

function TTriangle.IsObtuse(): Boolean; overload;
function TTriangle.IsObtuse(out Obstuse: TPoint): Boolean; overload;

Returns True if the triangle is obtuse, can also return the point

Obtuse triangle is a triangle in which one of it angles is greater than 90 degrees.

function TTriangle.Circumcircle(): TCircle; 

Returns the circumcircle (the circle passing through points A, B, and C) of the triangle.

function TTriangle.Incircle(): TCircle;

Returns the incircle (the largest circle inscribed within the triangle A, B, and C).

function TTriangle.RandomPoint(): TPoint;

function TTriangle.RandomPointCenter(): TPoint;

property TTriangle.Area: Integer;

property TTriangle.Corners: TPointArray;

property TTriangle.Bounds: TBox;

property TTriangle.Mean: TPoint;

operator in(Left: TPoint; Right: TTriangle): Boolean;