2R)~PM_c apm0,kW W 0kAf;;!f H;;!f CTC W W 0kBf H;$;";$f H;D.@C j{ W W 0k[aabbivegg` ˠ Hg ːgg` ˀ t  (c) 2002 Chaim Goodman-StrausstsSalgsystem writingHg`  Hg  Hg g 2j,  W W 0k g\g]  Hg]  g\g]  g5 0o|Dragging the points marked changes l1 and l2. Dragging the point marked scales an curve along which we are translating. You can also drag the red points on the figure we're transformingtransformingg^` H gZ g^ J,,'0,ll4dR{.  W W 0kgV@gV HgWgV@gV g 7SHere we reflect through l1 and then l2; this gives the same result as a translation transformation around their point of intersection J<gOgW0J8 ). W W 0k`gQgQpP HgQ@gQgQp0 g'when the lines of reflection don't meetfinityty#PgPgQp H>gQgQ HO O `dgQOV@$eaa``. W W 0k@gM@gM0 HgM gM@gM g2 reflections = a translationransformationgM@gM HgM H k`^` ` gLgM HgM@j. W W 0kVHfnfy Hfnfy CCՀ CW W 0kUHfnfx  Hfnfx CC sxW W 0kTHfnfw0 Hfnfw CڀC diW W 0kSHfnfv@ Hfnfv  CC y~W W 0kRHfnfupP Hfnfup0 CĀC W W 0kQpfnft`` HftPfnft`@ CɀC ';%@W W 0k2Z2Z mЀk<jjjjlr6<qCTCD.@CFچ {W W  0ka5Apps Archiveart ChooserControl PanelstCiCAae?`CCՀCĀCAtAj x_? d{W W  0ka4Apps Archiveart ChooserControl PanelstCϧC$AL [} CڀCCĀCA{ A?Yd? uW W  0ka3Apps Archiveart ChooserControl PanelstC8CXB/?K?:CCՀCڀCA5A{/S_? hm>,W W  0k mЀk<jjjjlr6<qC#BC ?QW W  0kh@53XX&אpT VDiHC N+HW W  0kh@5\A3XX&אpT VCRyhC UZ>W W  0kh@53X)X&אpT VC\C gk W W 0kbp   CBCCCUmCɀCC#BC? xgku W W 0kbm p CBCCCQc_FzCĀCC#BC? cgkk W W 0kbj  `CBCCC1z6ލCCC#BC? rgka0 W W 0kbg  0CBCCǀCK´CڀCC#BC? gkV W W 0kbd ` CBCCÀChčºCCC#BC? gkL W W 0kba  GpCBCCC{b[F”yCCՀC#BC?hm'W W /0Bk mЀk<jjjjlr6<qC#BCȀ gDi W W 0kaiDhHHDi@0DDiHCC#BC?ZDl W W 0kajDlHHDl0DCRyhCC\C?gm= W W 0kay `k k% P Hk& @k k% 0 [C#BCC#BCȀ?W W 0kqjpwOm~mЀp.k W W 0kbi` = D CDCƀ++Ѡ˜CɀCD!C? | W W 0kbklH0lJplF0lH HlH lD!CCĀC? xlH W W 0kbl lI0D CCC++}DѠªCĀCD!C?  W W 0kbnlR` la  Ex ` =lN0lR` HlR@l D!CCC? clS@ W W 0kbo {@ D CDC+o+2ѠCCD!C? , W W 0kbqqsslTl\`l]l\` Hl]@lD!CCڀC? rl] W W 0kbrp l]pD CD C+~&+¶CڀCD!C?  W W 0kbt ^ com1com2cla lf0]lg HllD!CCC? lg W W 0kbu  D CDC̀+#+FxCCD!C? G< W W 0kak6886FDPDp6F HD6FDPDp6Fp DD!CD!CȀ?$ G< W W 0kal688DPD6D  HD6DDPD6D CLCCLCȀ?%!?D?qW W  0kARControl Panelsmath networkRecent ApplicationsC7C) "mrl5W W  0kBLlHCCD l5` H+B8ѠBlCvC &#yx~}W W  0kBMl@0DCƀD l@ H+BѠBlC C (#tzyW W  0kBN,lJp@CCD lJP H+BDѠBlCC *#\aW W  0kBODCD lTp H+BѠBlCC/? ,#]bl^W W  0kBP>חll_  sD CD l^  H+@BlCCOD .#}w|W W  0kBQ @ li DC̀D li@ H+AFBxlCjC 0#G<W W  0kAJ688DDP6A HDp6ADDP6A D!C; 2#G<W W  0kAK688HDD`6@ HDD`6@ CLCo 3" W W 0kapkp Hk`jkP Hk @j2D!CC7C)?4 >k W W 0kaq` kD CCC--bË4C7C)D!C? 4DG< W W 0kau688kk P Hk pkk P C7C)CLC?!4l W W 0kbg H7l6pl6p Hl6l.0l6pp CvCD!C? 5xw W W 0kbj` H7 l@l@@ Hl@0l9l@  lC CD!C? 6syG; W W 0kbm577lClK HlK0lClK aCCD!C? 7[ W W 0kbp H78lU`lU` HlUlN@lU` CC/?D!C? 8\ W W 0kbsp H7l_l_P Hl_@lXl_0 CCODD!C? 9|v W W 0kbv  H7Hljlj Hlj  HljlCjCD!C? :XW W  0ka11Apps Archiveart ChooserControl PanelstCLCB@()@C\CCRyhCAA@X?<jW W  0ka12Apps Archiveart ChooserControl PanelstD!CC()@DiHCC#BCAA@j?;kpW W  0kASCCD Mk H-C4BjCCrL =#ܒ$p'arW W 0kavControl Panelsmath networkRecent ApplicationsCqCZ=CC??4LQW W 0kBLlHCCD l5` H+B8ѠBlC?$C5 5 @'p]ubW W 0kBMl@0DCƀD l@ H+BѠBlCO8C  6 A)oltq W W 0kBN,lJp@CCD lJP H+BDѠBlCCj 7 B+TsYxW W 0kBODCD lTp H+BѠBlCmC 8 C-AJFO W W 0kBPחll_  sD CD l^  H+@BlCCb 9 D/e.j3pW W 0kBQ @ li DC̀D li@ H+AFBxlC/Cw : E1j W W 0kar` H8kk@ Hk0jk  kCCrLD!C? H?_W W !0kh@53XRX&אpT VCiÇTFpInW W  0ka15Apps Archiveart ChooserControl PanelstCܚCg@A-XSOCCjC?$C5Ad]A3pI?LKJ@LqwW W  0ka16Apps Archiveart ChooserControl PanelstCUCA[?M1CCjCCbAAV>@<|w?NMLC/NW W  0ka17Apps Archiveart ChooserControl PanelstC4C{PBJ< CCbC?$C5AVA(>/?JONH' W W 0kbwlyp{ Hlyp{luply{ Hly{pl2CLCC?$C5?J!Qlzp W W 0kbxz pPCCCCFtB̤[C?$C5CLC?!JplP W W 0kbzlp llq0 HllCLCCO8C ?K!obl W W 0kcap@ CCCCH`'CHfRCO8C CLC?!K$^Cu W W 0kccuC,'H ?~CCuC' w0 Hl0f HlCLCCCj?L!nql W W 0kcde CCCC^'CKfRCCjCLC?!L5 W W 0kcfl0lPl\ HllCLCCmC?M!Sxl` W W 0kcg[ @T `@CCDCd'CjfRCmCCLC?!M@Ol W W 0kcjQP l CCDCA"'C) CCbCLC?!NCU W W 0kci`cF:  ] = DlR@ H^7lCLCCCb?N!  W W 0kcolP7 HlP7lPlp7 Hl7l2CLCC/Cw?O!d3lP W W 0kcp6 P0CCDC}'CufR\C/CwCLC?!O.W W 0kASCCD Mk H-C4BjCɿ"CI H P>BGDW W  0kBRԀCmCCCCLl{y@ H¶̤ClCϵC@ U"9>W W  0kBS CCCLl n HHfRClCCѢ+ W">CW W  0kBTZCCCLlpd HKfRBlC5Cu Y":?W W  0kBU DCCLlZP HjfRBlC|C} [""')@W W  0kBYDC}CLl5` HufRC\lCRC`' _"*/ W W  0kBVl <@ @DCCLlP HÄ)ClC_C ^">G< W W 0kas688pkk` Hkkk` Cɿ"CIC7C)?4aG W W 0kbyx H7Cg&l|l|xp Hl|x` Hl|xPl CϵC@CLC?!b> W W 0kcbn@ H7Dlln  Hln Hlnl CCѢ+CLC?!cC W W 0kcec H7l0l0c HlPcll0c lC5CuCLC?!d? W W 0kchY H7illY HlYp HlY`l C|C}CLC?!e' W W 0kcq4 H7lplp4 Hl4lPlp4p CRC`'CLC?!f/ W W 0kckOP H7_llO0 HlO llO C_CCLC?!ghmkW W 0kAT kk Hk kk Hk kC6C9 h9>KW W 0kBRՀCmCCCCLl{y@ H¶̤ClCeCٞd b!iV',W W 0kBS CCCLl n HHfRClCUCނ c!jX',W W 0kBTZCCCLlpd HKfRBlCCn7 d!kZ#(W W 0kBU DCCLlZP HjfRBlCH:C  e!l\ 0W W 0kBYՀDC}CLl5` HufRC\lCCg f!m`!W W 0kBVl <@ @DCCLlP HÄ)ClCCߪ g!n]'arW W 0katControl Panelsmath networkRecent ApplicationsC&CCFC±?ho);W W  0ka18Apps Archiveart ChooserControl PanelstCCaA9BIxvCeCٞdCCn7AlHA8t)A?rqp)W W  0ka19Apps Archiveart ChooserControl PanelstCCQX@f C ?}CCߪCCn7AA,?usr;W W  0ka20Apps Archiveart ChooserControl PanelstC/C܋Ayh4kSCeCٞdCCߪAx$A7=?ptudiG<W W 0kAU688 k pk0 HkPk pk0 kC#C" vIc'iarW W 0kawControl Panelsmath networkRecent ApplicationsC#CWŞC#D/1h?zdiG<W W 0kAV68833k@k0 Hk k@k kC#C {ik W W 0kaxk`HHk0kC#CCLC?!|di'W W /0BkAV68833k@k0 Hk k@k kC#CȀ |;@kW W 0kAW kk Hk kk Hk kC,C }ciG; W W 0kba577/k`kŀ/ HkŠ/pk`kŀ/` kC#CC#CȀ?~|gW W 0kc6Apps Archiveart ChooserControl PanelstC,CB#Z?5%F?5%F!HMG<W W 0kAX688k)`k-`Ǡ Hk-ǐk)`k-`ǀ CpC F6 W W 0kc7Apps Archiveart ChooserControl PanelstC#CB? ?5%F?5%F|49kW W  0kBCkHHk0kC*C W W  0kBDH H#U#kk e kkH C$C dikW W  0kBGkHHk@0kC#Cԇ\ 6W W  0ka13Apps Archiveart ChooserControl PanelstC#CB? ()@C$CC*CAA@6 ?9G; W W 0kbb577 kkp  Hk kkp p kC*CCiÇT?QW W  0ka14Apps Archiveart ChooserControl PanelstC#C(B4ۿC$CC*CAA)U?Q W W 0kBIk00k kk0 CJ\Cܓ "9'arW W 0kbcControl Panelsmath networkRecent ApplicationsC| Ct*C6Cϳ*?|diG;W W 0kBJ577kk` Hkkk` C#C) { W W 0kc8 H7kkp Hk` HkPkkC#C)B?5%F?5%F