GSP4QThat 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.$D Lcentroid` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Av@@_@@B n@p|@@  @FC@|@@ @  @E   -  G D    1 1BE4QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$FLcircumcenter` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' v@`@@p@{@@  @/@ @p@{@@ @ 4@?  ?  /  /   /  - O 86D#D#0 ?  ?  ?  >    .&nQ\aA construction(#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$/ Lorthocenter` 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':' 0v@I@@r@s@@@s@? @ ? @ /@ /@  -@ H?  ?   -  ?   -  ?   -  v@p@@ @   -@  -@ @  -@  -@ @   -@  -@ @ @ @  @ @ @  @ @ @ .@ ".@ !.@ # -@ $& -@ $% -@ %&@ '(@ ()@ )'> @   $nQ\aA orthocenter> n)('*,+   .nQ\aAThe superior triangle4nQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$L Linferior triangle` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Ar@@T@@B`j@{@@Cȃ@p{@@ @ @ .@ .@ .@  @ @ @D           - G  /  /   - O   ?  ?  / /  - H  DDt)0>t)q=QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$a"Lnine-point circle` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Ar@@T@@B`j@{@@Cȃ@p{@@ @ @ .@ .@ .@  @D E D           - G  /  /   - O ?  ?  / /  - H DDt0>tq%w0{<0>>w0 N  4 QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$/Lnine-point circle` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Ar@@T@@B`j@{@@Cȃ@p{@@ @ @ .@ .@ .@  @D E D           - G  /  /   - O ?  ?  / /  - H  N  4  - X ZCֿ N mvCjQ Cj" # !   >>>>?   - )Y?   - +Z , *> .*,-   9LnQ\aA3Similarly the pedals Y and Z are on the circle DEF.QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$]7"Lnine-point circle and 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':' Ar@@T@@B`j@{@@Cȃ@p{@@ @ @ .@ .@ .@  @D/  ?  ?  /  /   - H ?   - Y?   - Z           E   D  "/ " -  $O % %4"  " 4^l>^> &N , - -X - -Z - -F - -Y - -E> 012 ./   N;LnQ\aA2This is the same as the circle through D,E,F,X,Y,ZnDB/.>/H+n  n " -n 65G