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.$e:LPoncelet-Brianchon theorem` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' <0><0>>onD r@@l@@j@|@@P@|@? @ nQ\aAj? n /n /n  -n H   4  /    /   - O ?  ?   Pv@t@? @ @4X@?? - nQ\aACn4X?P C  CVl+??  nQ\aAk -n nQ\aAD? n  -n nQ\aAE? n  nQ\aAl -n !nQ\aAF#*n( " !"  ?/ / / /  /  /   - ( - ' - )  ,  +  * *+ 0/ 10 ,* 3/ 43 - 25 6** X?nine-point circleTR>  >  7+*,-./   52nQ\aAW(P) on nine-point circleQThat 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.$7Ltangent of H(P) at H` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' q@d@@h@0z@@  @/@ @@0z@@ @ 4@?  ?  /  /   -  H /  - O ?  ?  nQ\aAj? n  -n  ? n nPu@@s@? @ @4X@? -  nQ\aAAn4XP C  CӀi4`??  nQ\aAk -n nQ\aAB? n   -n !nQ\aAC? n "nQ\aAl -n #nQ\aAD#*n( $ !"#$  ??   - &?  '?   - ()?  *"  +"  +"  + - -, /?  // 1 - 123/3 4/> 45/   e0nQ\aAcollinear with H, W(P) > n-.,   ]4nQ\aAreflections of tangent at H(#6QThat 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.$p Lasymptotes` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' r@ g@@k@z@@ @4X@?4XP C  Ca0B??  nQ\aAj n? n /n  n@`z@? @  nQ\aAk? n  /n  /n  -n H  .   .廋Nܿ?   .    .f|K&,??   ?   nQ\aAl? n  -n ? n  -n /n  -n  O  , , Px@u@? @ $? @ $nQ\aAm? n  $ -n '? n ( -n )&? n * -n +n , n-? n . -n % nQ\aAA -n &nQ\aAB? n 01 -n 2nQ\aAC? n 3nQ\aAn -n 4nQ\aAD#*n( 512345  ? - '?  7 - 8%?  9 - : ;  <?  =  - />W(P)?  $ - @" 0"?  B" A#?  D - CEnQ\aAE? n F  -n G!/n H /n H  -n  I -n  J? n KL/n ?Mn  4n , ,  -  '" AQ?  T" SR?  V  - UWP*)?  X  - Y!Q - Y!Q')/ Z/ Z / Z  -  ] - \ -  ^ Za Z` Z_/ [ / [ / [ -  f -  e - g [j [i [h> <klmhij`a_dcb[Z   >nQ\aA%Simson lines of endpoints of diameter> n XY   BnQ\aA(isogonal conjugate of circumdiameter OP*> n NM   j,nQ\aAasymptotes of H(P)oQThat 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.$LCLisogonal conjugate of line` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' v@ l@@r@{@@  @/@ @@@|@@ @ 4@?  nQ\aAj? n /n  /n   -n  H /  - O @To@@ u@a@? @  @  vy?P,,?   -  ?   -  " ?  " ?   -  P*?   -  "?   -  $" #?  &" %?  ( - ')C?   -  +?   -  -" ,?  /" .?  1 - 02D?  ?  *?  334X@?f circum - 56nQ\aAEn34Xf circumP C379 : CPn(7??  ;3nQ\aAk -n < nQ\aAF? n 8= -n >4nQ\aAG? n ?*nQ\aAl -n @<nQ\aAH#*n( A:;<=>?@A  ?> B   &4nQ\aAIsogonal conjugate of linem