\psset{PointSymbol=none} %\psframe(-6,-5)(11,15) \pstTriangle[linewidth=2\pslinewidth, linecolor=red] (4,1){A}(0,3){B}(5,5){C} \psset{linecolor=blue} \pstBissectBAC[PointSymbol=none, PointName=none]{C}{A}{B}{AB} \pstBissectBAC[PointSymbol=none, PointName=none]{A}{B}{C}{BB} \pstBissectBAC[PointSymbol=none, PointName=none]{B}{C}{A}{CB} \pstInterLL{A}{AB}{B}{BB}{I} \psset{linecolor=magenta, linestyle=dashed} \pstProjection{A}{B}{I}[I_C] \pstLineAB{I}{I_C}\pstRightAngle[linestyle=solid]{A}{I_C}{I} \pstProjection{A}{C}{I}[I_B] \pstLineAB{I}{I_B}\pstRightAngle[linestyle=solid]{C}{I_B}{I} \pstProjection[PosAngle=80]{C}{B}{I}[I_A] \pstLineAB{I}{IA}\pstRightAngle[linestyle=solid]{B}{I_A}{I} \pstCircleOA[linecolor=yellow, linestyle=solid]{I}{I_A} %% Външни ъглополовящи \psset{linecolor=magenta, linestyle=none} \pstOutBissectBAC[PointSymbol=none, PointName=none]{C}{A}{B}{AOB} \pstOutBissectBAC[PointSymbol=none, PointName=none]{A}{B}{C}{BOB} \pstOutBissectBAC[PointSymbol=none, PointName=none]{B}{C}{A}{COB} \pstInterLL[PosAngle=-90]{A}{AOB}{B}{BOB}{I_1} \pstInterLL{A}{AOB}{C}{COB}{I_2} \pstInterLL[PosAngle=90]{C}{COB}{B}{BOB}{I_3} \psset{linecolor=magenta, linestyle=dashed} \pstProjection[PointName=I_{1C}]{A}{B}{I_1}[I1C] \pstLineAB{I_1}{I1C}\pstRightAngle[linestyle=solid]{I_1}{I1C}{A} \pstProjection[PointName=I_{1B}]{A}{C}{I_1}[I1B] \pstLineAB{I_1}{I1B}\pstRightAngle[linestyle=solid]{A}{I1B}{I_1} \pstProjection[PointName=I_{1A}]{C}{B}{I_1}[I1A] \pstLineAB{I_1}{I1A}\pstRightAngle[linestyle=solid]{I_1}{I1A}{C} \pstProjection[PointName=I_{2B}]{A}{C}{I_2}[I2B] \pstLineAB{I_2}{I2B}\pstRightAngle[linestyle=solid]{A}{I2B}{I_2} \pstProjection[PointName=I_{2C}]{A}{B}{I_2}[I2C] \pstLineAB{I_2}{I2C}\pstRightAngle[linestyle=solid]{I_2}{I2C}{A} \pstProjection[PointName=I_{2A}]{B}{C}{I_2}[I2A] \pstLineAB{I_2}{I2A}\pstRightAngle[linestyle=solid]{C}{I2A}{I_2} \pstProjection[PointName=I_{3A}]{C}{B}{I_3}[I3A] \pstLineAB{I_3}{I3A}\pstRightAngle[linestyle=solid]{C}{I3A}{I_3} \pstProjection[PointName=I_{3C}]{A}{B}{I_3}[I3C] \pstLineAB{I_3}{I3C}\pstRightAngle[linestyle=solid]{A}{I3C}{I_3} \pstProjection[PointName=I_{3B}]{C}{A}{I_3}[I3B] \pstLineAB{I_3}{I3B}\pstRightAngle[linestyle=solid]{I_3}{I3B}{A} \psset{linecolor=yellow, linestyle=solid} \pstCircleOA{I_1}{I1C} \pstCircleOA{I_2}{I2B} \pstCircleOA{I_3}{I3A} \psset{linecolor=red, linestyle=solid, nodesepA=-1, nodesepB=-1} \pstLineAB{I1B}{I3B}\pstLineAB{I1A}{I2A}\pstLineAB{I2C}{I3C}