@options; @figure; gogeometry = texte( -5.5 , -6.1 ,"Antonio Gutierrez. www.gogeometry.com") { rougefonce , dec1 , car-3 }; click = texte( -5.5 , -5.7 ,"Click this button to start/stop the animation") { rougefonce , dec2 , car-3 }; A = point( -3.43 , -3 ) { rond2 , (-0.26,-0.03) }; N2an = point( -0.15 , 3.86 ) { i }; N1an = point( -1.39 , 3.39 ) { i }; ceN2N1 = cercle( N2an , N1an ) { i }; xx = reel( 353.5 , 0 , 360 , 2.5 ) { oscille , (7.67,-8) , i }; var yy = 180*cos(xx)+150 { 328.842934021786 }; B = pointsur( ceN2N1 , yy ) { rond2 , (-0.37,-0.94) }; C = point( 3.43 , -3 ) { rond2 , (-0.06,-0.07) }; sAB = segment( A , B ) { noir , 3 }; sBC = segment( B , C ) { noir , 3 }; sAC = segment( A , C ) { noir , 3 }; polyABC = polygone( A , B , C ) { stop , jaune , plein60 }; bissCAB = bissectrice( C , A , B ) { i }; bissACB = bissectrice( A , C , B ) { i }; I = intersection( bissACB , bissCAB ) { rond1 , sansnom }; perpIsAC = perpendiculaire( I , sAC ) { i }; E = intersection( perpIsAC , sAC ); ceIE = cercle( I , E ); F = intersection( sAB , ceIE , 0 ) { (-0.82,-0.39) }; D = intersection( sBC , ceIE , 1 ) { stop , (0,-0.4) }; sFD = segment( F , D ) { stop , 2 }; perpEsFD = perpendiculaire( E , sFD ) { i }; H = intersection( perpEsFD , sFD ) { (0,-0.76) }; sEH = segment( E , H ) { rouge , 2 }; P3 = texte( E ,"Given: EH perpendicular to DF") { stop , vertfonce , (-0.68,0.63) , dec2 , car-2 }; sAH = segment( A , H ) { stop , vertfonce }; sCH = segment( C , H ) { stop , vertfonce }; angleAHE = angle( A , H , E ) { / }; angleEHC = angle( E , H , C ) { / }; P4 = texte( E ,"To Prove: EH angle bisector of angle AHC") { stop , rouge , (-2.49,1.18) , dec2 , car-2 }; angleEHD = angle( E , H , D ) { grisclair }; @config; couleurfonddessin=0xFFFFFF; boutons=animation;