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.$=LProblem/derivation` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H GenevaAppleGothic     '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'B@n@A@Py@ C@y@  /   -  W* )G6? ᅢ-o6K?Q C      -  P;B&Pb? L[l-%1?Q C   -  vp뿖oͿv? \k??Q C   -  $c<+sfn? ]Pq_O?Q C   -    E>܈2;?  ds_?Q C"!# !,*>>>,0,*6>>>6H,*U>>>,Uz#,*>>> ,*>>>,,*>>>(,* F>>>, F/X,*>>>1,*>>>,),*w>>>nQ\aAt[10]w,*>>>,nQ\aAt[9],*>>>nQ\aAt[8],*E>>>,nQ\aAt[7]Ej,*y>>>nQ\aAt[6]y,*>>>,nQ\aAt[5],*>>>nQ\aAt[4],*;>>>,nQ\aAt[3];`,*>>>nQ\aAt[2]&,*>>>,nQ\aAt[1]C@ @A@@B@x@ ;: :9 9;/ :< :; - ?@ @W* )G6? @ᅢ-o6K?Q CBAC A; :E - ?F FP;B&Pb? FL[l-%1?Q CHGI G; :K - ?L Lvp뿖oͿv? L\k??Q CNMO M; :Q - ?RG R$c<+sfn? R]Pq_O?Q CTSU S; :W - ?X XE>܈2;? Xds_?Q CZY[ Y;  /@ @  /O#,4? _^ ? /=M @ ? /=? ba E ;d - <e ehC?JXخQ Cdgf. f= - >i jf K? G; ;l - mn oG G; - qp/ rK - Ks tG - Ku ;v - <w wV?# |qQ Cvyx. x= - >{ |x Q ~;  ; - < **~HQ C W H?H ; - < o迉aAxQ C ]? Y; ; -  Y Y; - / ] - ] Y - ] ; ; - <  4T6aQ C ; ? ; ; -   ; - /  -   -  ; - < <m7xFQ C. =. =. =. = - > - > - > - >    (&>>>>%(&>>>>(&>>>>(&>>>>(&>>>>(&z>>>>z0@P@8@0@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5`@`@@0@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@}@H@}@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@|@@}@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@p{@@`|@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@z@x@{@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5 ">>> "6`TR>>>~OdbbO><+<(>>>>>>>>>>>>b,,Q_>>Q_fn]>>>>>>>>>>>>>>>>>>>>>]^;>^;i]k@@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.$ LExample4.5a` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#HAppleGothic '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'+>>>+A0H?><+<(>>>>>>>>>>><0><0>>>><0>>>>>>>>>>>>>>>>H?xpp6\>>6,*?>>?(#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$a LConstructions` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H GenevaAppleGothicAdobe Caslon Pro     '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'B@i@A@v@ C@v@  /   -  W* )G6? ᅢ-o6K?Q C      -  P;B&Pb? L[l-%1?Q C   -  vp뿖oͿv? \k??Q C   -  $c<+sfn? ]Pq_O?Q C   -    E>܈2;?  ds_?Q C"!# !,*>>>,* >>> ,*t>>>t,*>>>:,*>>> ,*>>>,*)>>>)N/,*>>>,*>>>,*M>>>nQ\aAt[10]Mr,*v>>>nQ\aAt[9]v*,*(>>>nQ\aAt[8](:,*Z>>>nQ\aAt[7]Z@l,*%>>>nQ\aAt[6]%J,*>>>nQ\aAt[5],*>>>nQ\aAt[4],*>>>nQ\aAt[3](,*>>>>nQ\aAt[2]>P,*Z>>>nQ\aAt[1]Z!C`@w@A`}@0w@Bp@@j@ ;: :9 9;/ :< :; - ?@ @W* )G6? @ᅢ-o6K?Q CBAC A; :E - ?F FP;B&Pb? FL[l-%1?Q CHGI G; :K - ?L Lvp뿖oͿv? L\k??Q CNMO M; :Q - ?RG R$c<+sfn? R]Pq_O?Q CTSU S; :W - ?X XE>܈2;? Xds_?Q CZY[ Y;  /@ @  /O#,4? _^ ? /=M @ ? /=? ba E ;d - <e ehC?JXخQ Cdgf. f= - >i jf K? G; ;l - mn oG G; - qp/ rK - Ks tG - Ku ;v - <w wV?# |qQ Cvyx. x= - >{ |x Q ~;  ; - < **~HQ C W H?H ; - < o迉aAxQ C ]? Y; ; -  Y Y; - / ] - ] Y - ] ; ; - <  4T6aQ C ; ? ; ; -   ; - /  -   -  ; - < <m7xFQ C. =. =. =. = - > - > - > - >    (&L>>>>Lm(&:>>>>:[(&>>>>>(&>>>>/(&l>>>>l(&P>>>>Pf@u@@u@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@t@p@pt@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@r@@0s@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5`@q@@@r@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5X@p@`@q@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5@o@(@q@ @  4?,@? @  -    ࿥LXz?>@  LXz??N  ffffff?5 >>> 6]TR>>>Odb2_O><+<(>>>>>>>>>>>>2_,,p6>>p6E  C%8? @  4?,@? @  -    ࿥LXz?>@  LXz??N   h C2-"3? @ f f4?,@? @ f -   f  ࿥LXz?>@  f LXz??N  f f  z C  ? @ x x4?,@? @ x -  x  ࿥LXz?>@ x LXz??N x x  C:? @  4?,@? @  -    ࿥LXz?>@  LXz??N    C scP? @   4?,@? @ " - !# $  ࿥LXz?>@ % LXz??N % &  CH`? @ ) 4?,@? @ + - *, -  ࿥LXz?>@ . LXz??N . / -  - *( - * - ( - 0(nQ\aAOp@@nQ\aANx@؀@nQ\aAM@X@nQ\aAL@@@nQ\aAK@@~@nQ\aAJ@@@nQ\aAI@}@nQ\aAH(@P~@nQ\aAG@|@nQ\aAF@}@nQ\aAE(@{@nQ\aAD@ }@(&>>B>nQ\aAt[16](&>>B>nQ\aAt[15](&>>B>nQ\aAt[14](&>>B>nQ\aAt[13](&>>B>nQ\aAt[12] (& >>B>nQ\aAt[11] -.B@z@AȄ@h@C@x@,*>>>nQ\aAt[1],* >>>nQ\aAt[2] .,*C>>>nQ\aAt[3]Ch,*>>>nQ\aAt[4]%,*>>>nQ\aAt[5],*>>>nQ\aAt[6],*M>>>nQ\aAt[7]Mr-,*>>>nQ\aAt[8],*>>>nQ\aAt[9],*>>>nQ\aAt[10] IJ JK KI/ JV JI - YZ ZW* )G6? Zᅢ-o6K?Q C\[] [I J_ - Y` `P;B&Pb? `L[l-%1?Q Cbac aI Je - Yf fvp뿖oͿv? f\k??Q Chgi gI Jk - Yl l$c<+sfn? l]Pq_O?Q Cnmo mI Jq - Yr rE>܈2;? rds_?Q Ctsu sI Y /=M @ Y /=? yx _ I{ - V| |hC?JXخQ C{~}. }W - X } e? aI I -  a aI - / e - e a - e I - V V?# |qQ C. W - X  k I  I - V **~HQ C q H? I - V o迉aAxQ C w? sI I -  s sI - / w - w s - w I - V  4T6aQ C I ? I I -   I - /  -   -  I - V <m7xFQ C. W. W. W. W - X - X - X - X     @ 78 84?,@? @ 8 -  8  ࿥LXz?>@ 8 LXz??N 8 ffffff?58 @ 9: :4?,@? @ : -  :  ࿥LXz?>@ : LXz??N : ffffff?5: @ ;< <4?,@? @ < -  <  ࿥LXz?>@ < LXz??N < ffffff?5< @ => >4?,@? @ > -  >  ࿥LXz?>@ > LXz??N > ffffff?5> @ ?@ @4?,@? @ @ -  @  ࿥LXz?>@ @ LXz??N @ ffffff?5@ @ AB B4?,@? @ B -  B  ࿥LXz?>@ B LXz??N B ffffff?5B  C%8? @  4?,@? @  -    ࿥LXz?>@  LXz??N    C2-"3? @ } }4?,@? @ } -   }  ࿥LXz?>@  } LXz??N  } }   C  ? @  4?,@? @  -    ࿥LXz?>@  LXz??N    C:? @  4?,@? @  -    ࿥LXz?>@  LXz??N    C scP? @   4?,@? @ " - !# $  ࿥LXz?>@ % LXz??N &  CH`? @ ( 4?,@? @ * - )+ ,  ࿥LXz?>@ - LXz??N - .@[@y@M@@ 12/ 23 21 - 45 61 7 18 - 39a@@ 2; ;1. :< - => ?:m@@ d@@ ABi@y@ DA BD/ AE AD - GH ID AJ - GK LD M? LD DN - OP QL LD - SR/ TM - MU VL - MW DX - EY. ZC - F[ \Z@q@@u@@ ^_Ps@y@ a^ _a/ ^b ^a - de fa ^g - dh ia ^j - dk la m na o ap - bq. r` - cs trN0@Pz@Q }@@ vw/ wx wv - yz {v w| - y} ~v w - y v w - y v w - y v  v ? v v -   v - /  -   -  v - xORP@@ w v.  - P 4v*2  2<0>4vw*2  2<0>0 3 b 2<0>R1>>>`u,,>>>(&->>>>-B,,>>>,,>>>(&B>>>>BW42>x(# 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.$c*LConstruction OneFifth` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H Geneva'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'@e@|@t@ @t@  /   -      -       -    -  @   -   -      - /  -   -   ! - " #! - $ % - &. ' - ( )'V{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.$LTRIHALF Geneva nQ\aAC>nQ\aAAnQ\aABp    / nQ\aAk  - nQ\aAD    nQ\aAC   -  nQ\aAB.  nQ\aAj - nQ\aAA  V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$&LTriTwoThirds Geneva nQ\aABindow 0x1a0ac1nQ\aAAnQ\aAC`    / nQ\aAl  - nQ\aAJ    nQ\aAc[3] -  nQ\aAK    nQ\aAc[4] - nQ\aAL  nQ\aAc[2] - nQ\aAI  nQ\aAc[1] - nQ\aAD  nQ\aAH?   - nQ\aAG   - nQ\aAF/ nQ\aAk - nQ\aAE  -  nQ\aAC ! - "nQ\aAB. #nQ\aAj - $nQ\aAA %#V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LTriOneThird Geneva nQ\aABB ۀnQ\aAC nQ\aAA   / nQ\aAl  - nQ\aAI    nQ\aAc[1] -  nQ\aAD    nQ\aAH?    - nQ\aAG     - nQ\aAF/  nQ\aAk -  nQ\aAE   -  nQ\aAC  - nQ\aAB. nQ\aAj - nQ\aAA V{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.$LTriOneFourth Geneva nQ\aABunemltncnQ\aACG*-nQ\aAA   / nQ\aAk  - nQ\aAG    nQ\aAc[2] -  nQ\aAF    nQ\aAc[1] - nQ\aAE  nQ\aAD  nQ\aAC  - nQ\aAB. nQ\aAj - nQ\aAA V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$( LTriOneSixth Geneva nQ\aACackingNotificatinQ\aAA slider_3E nQ\aAB @k   / nQ\aAl  - nQ\aAK    nQ\aAc[2] -  nQ\aAL    nQ\aAc[3] - nQ\aAM  nQ\aAc[4] - nQ\aAJ  nQ\aAc[1] - nQ\aAI  nQ\aAD  nQ\aAH?   - nQ\aAG   - nQ\aAF/ nQ\aAk -  nQ\aAE ! - "nQ\aAC # - $nQ\aAB. %nQ\aAj - &nQ\aAA '%V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$* LTriOneFifth GenevanQ\aACmenu 0x16cc36e0nQ\aABtangentsnQ\aAA4[ŋ,   / nQ\aAl  - nQ\aAO    nQ\aAc[1] -  nQ\aAP    nQ\aAc[2] - nQ\aAQ  nQ\aAc[3] - nQ\aAG @   - nQ\aAN  - nQ\aAM  nQ\aAL   - nQ\aAK/ nQ\aAk - nQ\aAJ  -  nQ\aAI ! - "nQ\aAH #! - $nQ\aAF % - &nQ\aAE. 'nQ\aAj - (nQ\aAD )'