GSP4 ~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.$- Ltomahawk:1` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#` Arial '''$'$'$'$'J$'$'$'$'$'$' $' $' %'&'8'8'8'9':' DӬj@цB:n@@Cj}v@TW9t@@ /@  @A   /<{MB @ $'>>+3[Tb@@b@@W@|@@ ()@@ o@@ )+> @ *,   $nQ\aA Hide AngleQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ռ6 Ltomahawk:2` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#` Arial  '''$'$'$'$'J$'$'$'$'$'$' $' $' %'&'8'8'8'9':' DYknr@̮`@@CGxt@^V{m@@ /@  @A   /<{MB @ $')1  <0>" " C  " C " D " " "4  - " - #5J())o@f@4(@+ 4\.B@: &@ +, nQ\aAx6(n, 6\.B@: &n +. nQ\aAy='n -/ 3%n 0ppS]>>><+>><+>><+>>>>><+><+>><+>>>>><+>><+><+>>>>><+><+><+>>>>>>><+>>>><+>>>>" n  n2  ϾF@  3oh#?j)13  9<0>>  5   U&nQ\aA Show Objects-#0QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$HLarchimedes ruler` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aAB@Y@@@E@pr@@ /@  @ @֋?nQ\aAKn  -n nQ\aAAn     nQ\aACn   n nQ\aADn    5 5 5J <?\.B@?   \.B@?\.B@?\.B@?\.B@?\.B@?\.B@?\.B@? \.B@?!\.B@?"\.B@?#\.B@?$\.B@?G@~@@H8@p@@ &'@F@~@@ &) -@  ? @ &) @( KZT';?@ &- @,  ae ?@ &/ -@ .0,@1&/ - 20Q C/31R D4)1)&'  <0>U0 16b A<0> B0F.;w _Nͫ_N` ,  +[]nQ\aAIn&879<rV@"H$p@@8<rV@"H$p@@? ;:\.B@?V@=\.B@?V@A>\.B@?AV@?\.B@?AV@@\.B@?AV@A\.B@?AV@B\.B@?AV@ A'''''%0 C>  <0>U &D - (EL)1&>F  <0>U> G    0nQ\aAHide Angle Measurement@(#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.$Ltrisection equation` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#` Arial Maiandra GD $'''$'$'$'$'f$'$'$'$'$'$' $' $' %'&'8'8'8'9':') nQ\aAA`z@ {@4(@ 40rk@6(@ 6\.B@: &@  xy  &?  ?  அx@  : &  "~x='"   "  " l7?}[̪N?@    -     )HgxonQ\aABn  E-о>?1  L>a?1  - /   -   /  -  /  -   L7)V?17g@j@ @ dX?@  $rV@  !$rV@5"!   ] 4<Q C:?=R D@  2w? B  mM? D D - CF,GD - HFQ CDIGR DJ   ]q8?˿ L  &? N N - MP,QN - RPQ CNSQR DT   y% V  22i? X X - WZ,[X - \ZQ CX][R D^  xR? `   & h? b b - ad,eb - fdQ CbgeR Dh 5?15 5  5 ir/?oi i i.ii -i  /i s -i ti us i  {!?i uw$rV@ wx$rV@5yxwu$">\\k;;J$"`>` t$">"> i{svz    nQ\aAtrisect> nlkj   vnQ\aArulern66Jn> n#+'   =nQ\aAperps> n ~}   nQ\aAtheta> n or   nQ\aAcos3t@ n > n 7|   nQ\aAangle n T$?n  n <ǵ?n  -n ,n - Q CR D|zg>>>>><0>>> yXXD>>>>7> KA    nQ\aAanglesnxxee>>>>><0>>>e@4> n   nQ\aAcol3s> nqp   unQ\aAmeass> n_Unm   nQ\aAiso> n   vnQ\aAcol2s> n   =nQ\aAcol1sQ Cn>    =nQ\aAcircs4fn>    >nQ\aAT1c4n>    vnQ\aAT2c4Jn >    nQ\aAT3cndbaO>>>>>Na>?nPN\ :<+>>>>\  -n`^[?K<+>>>>[?h`> n   WnQ\aA1> n   lnQ\aA2n42a@haa@ba> n    nQ\aA3nDDw;0>xw;j-# 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.$ bOLtrig derivation` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra$ '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' PN;>> nQ\aAAȁ@r@@$"V>nQ\aAt[3]Vm#nmnQ\aAt[2]m|,n  w+ >nQ\aAt[1]w+B4(n 40rk@? n அx@     l7?}[̪N?@    -     )Hgxo  E-о>?1  L>a?1   - /   -    _5:)?    MDd?  - , - Q CR D  xR?    & h?   - !,"  - #!Q C $"R D%  -  / ( - ) *(   {!? *,$rV@ ,-$rV@5.-,*@  >     VnQ\aAangleQ Cn > 02   pnQ\aAcirc -n  2/n 4 -n 5n 64> n'7    nQ\aAcos 3t -n 'n 9*,$r ?x> ,&+/:   $nQ\aA trisectionnLLk9>kn>>>><0><0><+>>>>>>>>Gn@a@@@(@@@(@x@@@a@x@@@0z@@@0z@@@@@@@@\\ I<+>>> A@<+><+>>>@}<+><+>>>@hhT>>a> @<   nQ\aA1> nI   2nQ\aA2> nH   GnQ\aA3> nG   \nQ\aA4> nF   qnQ\aA5> n=   nQ\aA6VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$=Ltrisection of 60` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' C]<+<0>>>>>>>><0>><-><-><->>>>C]9 F'<0>>>>>><0>>>>F'` r@@~@@r@@~@@q@~@@q@0@@r@0@@ @ Q C@nQ\aAEv@P~@@nQ\aADv@P~@@nQ\aACu@~@@nQ\aABu@@@@nQ\aAAv@@@@ @  Q C@ nQ\aAEz@0~@@nQ\aADz@0~@@nQ\aACy@~@@nQ\aABy@ @@nQ\aAAz@ @@ @ Q C@nQ\aAE@ @@nQ\aADp@ @@nQ\aAC0@`@@nQ\aABh@@@nQ\aAA@@@ @ Q C@nQ\aAEl@0~@@nQ\aAD@k@0~@@nQ\aAC@j@~@@nQ\aAB k@ @@nQ\aAAl@ @@ '&@ #$Q C@$%&}@`~@@P~@~@@}@~@@}@P@Q C@.,+ ,-pn< [><+>>>>>>>>><+>>>>>< QS=@@@x@@@@=D@@x@D@5@5423g_ ?P[1] -g 0/gnQ\aAD(@~@@nQ\aACp@~@@nQ\aAB(@~@@nQ\aAA0@@Q C@;98 9:(#6VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$ɾ4 LLemma...` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' PN@;>>>>>>>>>>>>>>>@J* 7:>>>>>>>>>>>>><0>>>>>>>>>>>>>7:S nQ\aAD~@0t@@nQ\aAC~@t@@nQ\aAB~@t@@nQ\aAA~@ u@Q C@ @r@@@pv@@  " C@  "@  @nQ\aAD@e@@nQ\aACP@f@@nQ\aAB@f@@nQ\aAA@g@@nQ\aAFx@t@@nQ\aAEx@w@Q C@  " C "  - hfR>>><+>>>>><+>>><+>>><+>>><+>>>>>>> ;nQ\aAD@x@@nQ\aAC@Py@@nQ\aAB@Py@@nQ\aAA@y@@nQ\aAF@`k@@nQ\aAE@Pq@Q C@   " C !#" "#o@0t@@ |@0t@@ &'@~@ t@@h@ t@@ )*@ RG >RGmh@ 4F >4FMg@}w>>>>>>>>>>>>>>>T}w*@``M>>>> @    nQ\aA2> n(+,-    nQ\aA3> n/    =nQ\aA5> n$%.    (nQ\aA4> n    nQ\aA1(#.VQThat 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...lemma ...` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' HH\z4>>>>>>>><+>>>>><+>>><+>>><+>>><+>>>>>><0>>>>><0>>\zL |zU$g>>>>>> U$fH xv]kb>>>>>..>]k $$^>><0>>><+>><->><+>><->><->>>>>>><0>><-><-><->>>>>><->>>>>>^T  xB> ) H>H$\ +; >+;9O @@> @   InQ\aA1> n   InQ\aA2> n   InQ\aA3QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ L... lemma.` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' L+>>>>>>>>>>>>>L+Mi L>>>>>>><0>>>>L nQ\aADh@`j@@nQ\aAC@`k@@nQ\aABh@`k@@nQ\aAAp@@l@@nQ\aAFh@ b@@nQ\aAEh@`i@Q C@  " C  "  >      $nQ\aA conclusion(#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$]1Lcos20 constructible?` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' j>><+>>>>>>>j[ r><0>>r^ ||h>><+>>>>><->><->>>>>& nQ\aAN|@pw@@nQ\aAM|@pw@@nQ\aAL{@w@@nQ\aAK{@`x@@nQ\aAJ|@`x@@nQ\aAEP@w@@nQ\aAD@w@@nQ\aAC@x@@nQ\aAB@px@@nQ\aAAP@px@@nQ\aAEP@`w@@nQ\aAD@`w@@nQ\aAC@w@@nQ\aAB@Px@@nQ\aAAP@Px@@nQ\aAE@x@`w@@nQ\aADw@`w@@nQ\aAC w@w@@nQ\aABw@Px@@nQ\aAA@x@Px@@nQ\aAI@w@@nQ\aAH(@x@@nQ\aAG@x@@nQ\aAF@x@@n><-><-><->>>nQ\aAt[1]nn n Q Cn    Q C   Q C  Q CQ C 42kx>>>>>>>>>>>>>>>>>>>>>kx> +   bnQ\aA1n>>>>>>>>>>> n-   bnQ\aA2> n   bnQ\aA3> n@ !"#$%&'()*   bnQ\aA4> n   bnQ\aA5VQThat 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. $Lcontradiction` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0534/Jun 30 20030#`Maiandra GD Arialra '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' XV C>>>>>>>>>>>>>>> =Z)  }@s@4(@ 4rL|@: &@  nQ\aAx7(n 7.ri@: &n  nQ\aAy='n   9nr p<0>11me R0 .;wG_Nͫ_NtpH:   """")?z)@i>>@  C8CC8C?C8C?"  "  "  "  `>>>>`p@@g@@@@g@@ > @     xnQ\aA1-#S{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$Lrtangle Arial  nQ\aAC .a`@_@bk@@nQ\aAD $rV@ $rV@5 S{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ Langle Arial  nQ\aACb@@nQ\aABnQ\aAA@\@@ @  -@ nQ\aAD,nnQ\aAj -n nQ\aAEQ CnR D