public static List <EdgeAggregator> InstantiateRight(RightTriangle rt, Altitude altitude, GroundedClause original)
{
List <EdgeAggregator> newGrounded = new List <EdgeAggregator>();
// The altitude must connect the vertex defining the right angle and the opposite side.
if (!altitude.segment.HasPoint(rt.rightAngle.GetVertex()))
{
return(newGrounded);
}
// The other point of the altitude must lie on the opposite side of the triangle
Point altPointOppRightAngle = altitude.segment.OtherPoint(rt.rightAngle.GetVertex());
Segment oppositeSide = rt.GetOppositeSide(rt.rightAngle);
if (!Segment.Between(altPointOppRightAngle, oppositeSide.Point1, oppositeSide.Point2))
{
return(newGrounded);
}
//
// Find the two smaller right triangles in the candidate list (which should be in the list at this point)
//
RightTriangle first = null;
RightTriangle second = null;
foreach (RightTriangle smallerRT in candRightTriangles)
{
if (smallerRT.IsDefinedBy(rt, altitude))
{
if (first == null)
{
first = smallerRT;
}
else
{
second = smallerRT;
break;
}
}
}
// CTA: We did not check to see points aligned, but these are the original triangles from the figure
GeometricSimilarTriangles gsts1 = new GeometricSimilarTriangles(rt, first);
GeometricSimilarTriangles gsts2 = new GeometricSimilarTriangles(rt, second);
GeometricSimilarTriangles gsts3 = new GeometricSimilarTriangles(first, second);
List <GroundedClause> antecedent = new List <GroundedClause>();
antecedent.Add(original);
antecedent.Add(altitude);
newGrounded.Add(new EdgeAggregator(antecedent, gsts1, annotation));
newGrounded.Add(new EdgeAggregator(antecedent, gsts2, annotation));
newGrounded.Add(new EdgeAggregator(antecedent, gsts3, annotation));
return(newGrounded);
}
