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.$8 LParameter` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial  Symbol'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' G@u@@(@u@? @  @  {t?l|?O/    i$? (-1, 0) }E= @c dN?VeEw? (X, Y)?  &d0? Y = t(X + 1)ds<+<0>><+>><0>><+><+<0>>>>>sdxxe<0>><+><+<0>>>>d?><0><+>><0><+>><+>>>>>?d<0><(<+>><+>>>>><+>>>>>HdTRu><+<0>><+>>>ud  d  =)d2?d  -d P Cdw k?q    hI+,?  -  P C 8ԛ?q/28ljW><0>>>>s.> 8    F&nQ\aA Show Caption> n    F%&nQ\aA Show Caption> n    F;&nQ\aA Show Caption> n    FQ&nQ\aA Show Caption> n   Fg&nQ\aA Show ObjectsQThat 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.$nDLAlgebra` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' J@t@@@t@? @  @  ދi?A   V壽?C "z&H@ X^2+Y^2=1   g%0    <0>g0 0  z  '<0>T9is Z0w(BMͫ(BM ``  `   $в<f@Y^2=>      "nQ\aAPoncelet^ n&ط?3f?,[1-t^2, 2t, 1+ t^2]   -  & contact(t,u)+?   -  & contact(t,v)+?   - ,}[1-u^2 , 2u, 1+u^2] - ,[1-v^2, 2v, 1+v^2]  $o3O}? join(t,v,u)3 $ڰ9e? join(t,u,v) $}? chord(t,u) $)f? chord(t,v) - $ meet(t,u,v)?   -   >    c8nQ\aAShow Point [1-t^2, 2t, 1+ t^2] -n !" vertex(t)> #   y4nQ\aAHide Intersection vertex(t)> n   >nQ\aA%Show Intersection [1-u^2 , 2u, 1+u^2] -n " vertex(u)> &   4nQ\aAHide Intersection vertex(u)> n   >nQ\aA$Show Intersection [1-v^2, 2v, 1+v^2] -n " vertex(v)> )   4nQ\aAHide Intersection vertex(v)> n "$   XnQ\aAt> n %'   XnQ\aAu> n (*   XnQ\aAv> n   66nQ\aAShow Intersection meet(t,u,v) -n !" [2, 2, 2]> /   ?4nQ\aAShow Intersection [2, 2, 2] -n !" [6, 0, 0]> 1   U4nQ\aAShow Intersection [6, 0, 0]#*nL   (-DT!@>  !3   o&nQ\aA Show Objects> n .0   X~ nQ\aA[2,2,2]> n 02   X~ nQ\aA[6,0,0]> n   nQ\aAt ^ u> n   nQ\aAt ^ v> n    4nQ\aAShow Circle (X-d)^2+Y^2=r^2> n   8nQ\aAShow Intersection contact(t,u)> n   2nQ\aAShow Segment join(t,u,v)(> n   8nQ\aAShow Intersection contact(t,v)> n   #2nQ\aAShow Segment join(t,v,u)(#*nT1 !1  (-DT!@> >   I$nQ\aA Show Locus> n$>AF   \&nQ\aA Animate Point> n    $nQ\aA Show PointsnTTI@<+<0>><+>>>I9bnddlP<+<0>><+<0>><+>>>2l> nC   &nQ\aA Show CaptionQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ALDegrees` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' J@t@@@t@? @  @  EH=W?A   _Lgjt?C    "`?B   ^C@6? %0    <0>%0    <0>0 0  z  '<0>T9is Z0w(BMͫ(BM ``  `   $в<f@>      "nQ\aAPoncelet n??" [2, 0, 0]   -  " [1, 1, 0]?   -  " [1, 0, 1]?   - " [0, 2, 0] - " [0, 0, 2]  "B? [1, 2, 1] "hhd? [1, 1, 2]h "7J? [1, 1, 0] "#9? [1, 0, 1] - " [2, 3, 3]?   -   >    h.nQ\aAShow Point [2, 0, 0] -n !t> #   ~,nQ\aAHide Intersection t> n   4nQ\aAShow Intersection [0, 2, 0] -n u> &   ,nQ\aAHide Intersection u> n   4nQ\aAShow Intersection [0, 0, 2] -n v> )   ,nQ\aAHide Intersection v> n "$   XnQ\aAt> n %'   XnQ\aAu> n (*   XnQ\aAv> n   "4nQ\aAShow Intersection [2, 3, 3] -n !" [2, 2, 2]> /   D4nQ\aAShow Intersection [2, 2, 2] -n !" [6, 0, 0]> 1   Z4nQ\aAShow Intersection [6, 0, 0]#*nL   (-DT!@>  !3   n&nQ\aA Show Objects> n .0   X5 nQ\aA[2,2,2]> n 02   X5 nQ\aA[6,0,0]> n   nQ\aAt ^ u> n    nQ\aAt ^ v> n    $nQ\aA Show Circle> n   4nQ\aAShow Intersection [1, 1, 0]> n   0nQ\aAShow Segment [1, 1, 2],> n   4nQ\aAShow Intersection [1, 0, 1]> n   0nQ\aAShow Segment [1, 2, 1],#*nT1 !1  (-DT!@> >   H$nQ\aA Show Locus> n$>AF   [&nQ\aA Animate Point> n    $nQ\aA Show PointsQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$_LSextic` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' M@0{@@̑@0{@? @  @  +7Ӛ? @  Y(ؖѻ?@ : @c[1]   6X?   jG?  T<*?Ok?A      -  R?   "   "  Q/ "  B/ "  C?  ? ?  - K?   - P#*H   (-DT!@#+<   (-DT!@>  $>BF   &nQ\aA Animate PointQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$< LPentagon` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial Kg'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' ~Hh@D|@@u@D|@? @  @  /d#)?nQ\aAA n  ATG?n  nceRZ      R nQ\aAAdjustn $UDo?!/7?R> 7     $nQ\aA Move Point> n    R nQ\aARegular"n "n "n  "n  n  -n n ,n -     "/ # $ />*%? %- &?  ' - &!?  ) - *( +  , - - .! +/ - 0L c_pL?9-?A - ! 2  4 5 - 6!Z" 74Z'u?  27"  94> 2$>BF    nQ\aARotaten 2 n<n =-n >A[1]e" ?<A'[1]?  2?/ A" 2BB@  C7 C  E F - G!B[1]" HEB'[1]@  2I - DJ12d#*\K2<=>?ABC4567EFGHIDJK  (-DT!@> L   $nQ\aA Show Locus? n CH" n NEn C2?t C" ?QA'[1]"  AQ/ S" CTC@  UH - JV131#*\W2<=>?ABCQSTUEFGHIJVW  (-DT!@> X   $nQ\aA Show Locus -n VD23e 2U?u U " 7\Z' U@dU?c CU?v U"  S`" R` A''[1]c 2b)}?a - c^ac2"  A</ e" 2fE@  g8 - hD52 - Vh35 - Jh51c gC?w Ug?x gRv9?e - ^nce4 - ncea#*`p2<=>?AeBCfgQSRTU`bcnp  (-DT!@> q   $nQ\aA Show Locusn 2g?y g"  et/ u" gvD@  w]> hDVxJ   f"nQ\aA Show Rays -n xJ41w - Dx24w> i{zWj   ,nQ\aAShow Intersections -n xV34a - hx45b> ~kKZ}   ,nQ\aAShow Intersectionsn w2?z Cw?a w? ݃}?d - cda5#*p2<=>?AeBCfgQSRtuTUvw`bc  (-DT!@>    $nQ\aA Show Locus -n ndew - ^cdw wg?b Uw?c" @t A''[1]c C!)yF?b> )n^c   &nQ\aA Show Segments -n bd3 - neb1> do   H,nQ\aAShow Intersections -n ^bcw - cabw> p   H,nQ\aAShow Intersections/n 1> n, b_RP?s@   H&nQ\aA Show pentagon -n D! -n J! -n h! -n x! -n V!n 2r?1  gt68?5  w hҝ?4 h U?3  C?]?2 > ]   &nQ\aA Show Segments> n, lI[7Hm]8   (nQ\aAShow pentagram> n$g3   &nQ\aA Show handlesm> nP?C   }R&nQ\aA Show Objectsm> n_RU   o&nQ\aA Show Objectsm> nbw   ~&nQ\aA Show Objectsm> ng   &nQ\aA Show Objectsm> n s@   &nQ\aA Show Objectsm> n    H&nQ\aA Show pentagon> nc   (nQ\aAShow Segment a> n   (nQ\aAShow Segment b> n^   (nQ\aAShow Segment c> n   (nQ\aAShow Segment d> nn   (nQ\aAShow Segment e> n    $nQ\aA Show joinst> n   2$nQ\aA Show Circle> n [7   &nQ\aA Show Objectse> n lI   5&nQ\aA Show Objectse> n H   Y&nQ\aA Show Objectse> n 8   y&nQ\aA Show Objectse> n   lO(nQ\aAShow Segment 1> n   le(nQ\aAShow Segment 2> n   l{(nQ\aAShow Segment 3> n   l(nQ\aAShow Segment 4> n   l(nQ\aAShow Segment 5> n    $nQ\aA Show joinst> n!   $nQ\aA Show Circle> n m]   &nQ\aA Show Objects5> n    (nQ\aAShow pentagram> n1   "nQ\aA Show axes> n?!178?@CHIKLPWXZ[]^_bcdgijklmnopqswz{}~RU   T"nQ\aAShow all> ndrMY|;   &nQ\aA Hide buttonsQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$dOLLoci` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial Kg'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'  }x@@rk z@x@? @  @  /d#)?nQ\aAA n  ATG?n  n*ܐuZ?*    PH񾖰?/   -    , ,  -  /  -   - >      _ nQ\aAAdjustn $UDo?!/7?R> 7     $nQ\aA Move Point> n    _x nQ\aARegular"n "n "n  "n  n  -n n ,n -     "/ # $ />*%? %- &?  ' - &!?  ) - *( +  , - - .! +/ - 0L 8 ?f^?A - ! 2  4 5 - 6!Z" 74Z'u?  27"  94> 2$>BF    nQ\aARotaten 2 n<n =-n >A[1]e" ?<A'[1]?  2?/ A" 2BB@  C7 C  E F - G!B[1]" HEB'[1]@  2I - DJ12d#*\K2<=>?ABC4567EFGHIDJK  (-DT!@> L   $nQ\aA Show Locus? n CH" n NEn C2?t C" ?QA'[1]"  AQ/ S" CTC@  UH - JV131#*\W2<=>?ABCQSTUEFGHIJVW  (-DT!@> X   $nQ\aA Show Locus -n VD23e 2U?u U " 7\Z' U@dU?c CU?v U"  S`" R` A''[1]c 2b)}?a - c^ac2"  A</ e" 2fE@  g8 - hD52 - Vh35 - Jh51c gC?w Ug?x gRv9?e - ^nce4 - ncea#*`p2<=>?AeBCfgQSRTU`bcnp  (-DT!@> q   $nQ\aA Show Locusn 2g?y g"  et/ u" gvD@  w]> hDVxJ   f"nQ\aA Show Rays -n xJ41w - Dx24w> i{zWj   F,nQ\aAShow Intersections -n xV34a - hx45b> ~kKZ}   F,nQ\aAShow Intersectionsn w2?z Cw?a w? ݃}?d - cda5#*p2<=>?AeBCfgQSRtuTUvw`bc  (-DT!@>    $nQ\aA Show Locus -n ndew - ^cdw wg?b Uw?c" @t A''[1]c C!)yF?b> )n^c   &nQ\aA Show Segments -n bd3 - neb1> do   f,nQ\aAShow Intersections -n ^bcw - cabw> p   f,nQ\aAShow Intersections/n 1> n, b_RP?s@   f&nQ\aA Show pentagon -n D! -n J! -n h! -n x! -n V!n 2r?1  gt68?5  w hҝ?4 h U?3  C?]?2 > ]   &nQ\aA Show Segments> n, lI[7Hm]8   E(nQ\aAShow pentagram> n$g3   x&nQ\aA Show handlesm> nP?C   }R&nQ\aA Show Objectsm> n_RU   o&nQ\aA Show Objectsm> nbw   ~&nQ\aA Show Objectsm> ng   &nQ\aA Show Objectsm> n s@   &nQ\aA Show Objectsm> n    fp&nQ\aA Show pentagon> nc   (nQ\aAShow Segment a> n   (nQ\aAShow Segment b> n^   (nQ\aAShow Segment c> n   (nQ\aAShow Segment d> nn   (nQ\aAShow Segment e> n    p$nQ\aA Show joinst> n   Pq$nQ\aA Show Circle> n [7   &nQ\aA Show Objectse> n lI   5&nQ\aA Show Objectse> n H   Y&nQ\aA Show Objectse> n 8   y&nQ\aA Show Objectse> n   lO(nQ\aAShow Segment 1> n   le(nQ\aAShow Segment 2> n   l{(nQ\aAShow Segment 3> n   l(nQ\aAShow Segment 4> n   l(nQ\aAShow Segment 5> n    {$nQ\aA Show joinst> n!   |$nQ\aA Show Circle> n m]   &nQ\aA Show Objects5> n    E{(nQ\aAShow pentagram> n1   "nQ\aA Show axes> n?!178?@CHIKLPWXZ[]^_bcdgijklmnopqswz{}~RU   a"nQ\aAShow all> ndrMY|;   &nQ\aA Hide buttons