question: private void addLimitedMitreJoin ( LineSegment offset0 , LineSegment offset1 , double distance , double mitreLimit ) { Coordinate basePt = seg0 . p1 ; double ang0 = Angle . angle ( basePt , seg0 . p0 ) ; double ang1 = Angle . angle ( basePt , seg1 . p1 ) ; double angDiff = Angle . angleBetweenOriented ( seg0 . p0 , basePt , seg1 . p1 ) ; double angDiffHalf = angDiff / 2 ; double midAng = Angle . normalize ( ang0 + angDiffHalf ) ; double mitreMidAng = Angle . normalize ( midAng + Math . PI ) ; double mitreDist = mitreLimit * distance ; double bevelDelta = mitreDist * Math . abs ( Math . sin ( angDiffHalf ) ) ; double bevelHalfLen = distance - bevelDelta ; double bevelMidX = basePt . x + mitreDist * Math . cos ( mitreMidAng ) ; double bevelMidY = basePt . y + mitreDist * Math . sin ( mitreMidAng ) ; Coordinate bevelMidPt = new Coordinate ( bevelMidX , bevelMidY ) ; LineSegment mitreMidLine = new LineSegment ( basePt , bevelMidPt ) ; Coordinate bevelEndLeft = mitreMidLine . pointAlongOffset ( 1.0 , bevelHalfLen ) ; Coordinate bevelEndRight = mitreMidLine . pointAlongOffset ( 1.0 , - bevelHalfLen ) ; if ( side == Position . LEFT ) { segList . addPt ( bevelEndLeft ) ; segList . addPt ( bevelEndRight ) ; } else { segList . addPt ( bevelEndRight ) ; segList . addPt ( bevelEndLeft ) ; } }
target:  Adds a limited mitre join connecting the two reflex offset segments. A limited mitre is a mitre which is beveled at the distance determined by the mitre ratio limit.