GSP4o\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$W? LSimson line` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arialem'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Av@d@@Bs@v@@ @Cȁ@v@@ @ ? @ ? @ ? @  @/@   @/@   -@  O  N? 7?P/ /  /  -  -  -  ?  $$ɮ? Simson line   4 Q/ /  /  -   -   -  ! " #?  #! - '    * +/ ,+   ./ /. - -0 1 > $>AF   8DnQ\aA*Simson line of a point on the circumcircle"n "n "n n 4n 5n 6? n 64,dW?line of reflections/  /  - ;<H> =   L&nQ\aA orthocenter H> n 89654:7   I,nQ\aAline of reflections\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ &Lpoint with given line of reflectionsc` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' l@v@@@v@@  @/@ @s@E@@ @ 4@?  ?  /  /   -  H /  - O @^@? @ " @ " @ " @  -@ > @   %NnQ\aA4Reflections of line through H concur on circumcircle"n "n "n n n n > n   @DnQ\aA+The reflections of the point of concurrence\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$*Lreflections of Euler line` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Bd@@x@@C@@x@@  @/@ @Ap@8@@ @ 4@?  ?  /  /   -  H /  - O   " Ob" Oc" Oa   DBon/<0>>on1 " Hb" Hc" Ha   ?  $8+ Euler line ?  ?  ?   - '$E> (   4nQ\aAE = Euler reflection pointt> n@&'%! "   2nQ\aAreflections of Euler line\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$.Y Lreflections of H in AP, BP, CP` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' APp@g@@Bb@~@@  @/@ @C@~@@ @ 4@?  nQ\aAj? n nQ\aAm/n  /n   -n  H /  - O Ps@s@? @ "@ X?  " Y?  " Z  /   /  - P   !/ "!  $/ %$ - #& '  )/ *)   ,/ -, - +. /  1/ 21   4/ 54 - 36 7?  ?  4X@? line - :nQ\aAAn4X lineP C;= > CZ-V??  ?nQ\aAk -n @ nQ\aAB? n <A -n B9nQ\aAC? n CnQ\aAl -n D@nQ\aAD -n 8(-n 8(? n ? n GnG4X@? line - HInQ\aAEnG4X lineP CGJL M CVD+??  NGnQ\aAn -n O nQ\aAF? n KP -n Q nQ\aAG? n RnQ\aAo -n SOnQ\aAHn4X@? line4X lineP CUV W Cc1??  XnQ\aAp.n  nZ .Dο? n [.n  n] .^Q?? n ^? n GnQ\aAq -n I ? n G -n _b? n GnQ\aAr? n  -n \e? n af -n gd? n h -n i\n j nk? n l -n H nQ\aAI -n YdnQ\aAJ? n no -n p`nQ\aAK? n qnQ\aAs -n rYnQ\aAL -n eI? n tc -n uH? n v -n w_n x ny? n z? n  n 4X@? line - e|nQ\aAMn 4X lineP C }  CS)??   nQ\aAt -n  nQ\aAN? n ~ -n 9nQ\aAO? n nQ\aAu -n nQ\aAP#*n(  ? G /   G /  - > '7(08   HnQ\aA/circles APX, BPY, CPZ intersect on circumcircle> n G   :4nQ\aAWhat is this intersection?s> n   8nQ\aAreflections of H in AP, BP, CP \QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$<$Lreflections of tangent of H(P) at H` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' r@ a@@ k@pw@@  @/@ @؀@pw@@ @ 4@?  ?  /  /   -  H /  - O ,1@@Pv@ q@? @ @.b@? @ nQ\aAj? n ? n ? n nQ\aAk? n  -n  ? n n4X@? -  nQ\aAAn4XP C  ! C??  "nQ\aAl -n #nQ\aAB? n $ -n %nQ\aAC? n &nQ\aAm -n '#nQ\aAD#*n( (!"#$%&'(  ??   - *?  +?   - ,-?  ."  /"  /"  / - 2 3?  3/ 5 - 56737 83> 201   U4nQ\aAreflections of tangent at H> n398   U,nQ\aAWhat is this point?> n/   W&nQ\aA tangent at Hp