2"":L G8& ϺGQ\CYGmPGmGQmurz K6<TT C T J6<TTApCs0EDR! J6<TTTPythagorean Theorem(D E :|Ct@`PHDBAO\lF0h(i J6<TT Pao-Ping Lin 2/6/94 ver.2$d @ D$DbbXbbUUL eSi?p \J6<TTxBasics4D< e e e e e@ DF_xS  7J6<TTShear & Rotationhx   22 pF_f  DJ6<TT| SimilaritylE Ha J6<TTShear & Translationb 0DSimilarityBasics L<b Plql! G6<TTBC27l! H6<TTBPC A6<TTCvCA! M4<TTlq%! L4<TTBA{! K4<TTB?>CutX! J4<TTB\! H4<TTA# T4<TTBC$ A4<TTC5C6f.k3! V5<TTCB80 W5<TTCC".3 X5<TTCC"fMkRH Y5<TTCBfk,h Z5<TTCvB:? A6<TTC5Bp]b B6<TTBCv! C6<TTC-CCH2r| D6<TTCCN E6<TTCրC F_u E6<TT~ Tessellation0fB 0f0<><0f0f0f>f0>00 08 $! X6<TTBC %:! A6<TTB !%&&! B6<TTB Be0! C6<TT@C.3 B6<TTCCA  "X Show<TT ! ,] Hide<TT 8   Oute<TT %&& ! jute<TTBB B? 3 ! tute<TTCvCACCA?" '  a8te<TTBCBC?& 'H! q1te<TTBCBC?&'! k1te<TT@CBC?&!'! v1te<TTCvCACvC{?' 6;>1 Step<TT B`C (>C?O B5ep<TT B4C(lq?B b5ep<TT BC(SX?Zֶ h5ep<TT BC( !&=!! Y5ep<TT B C)'! m5ep<TT@C@C?*!fki C5ep<TT CvB+;  q9ep<TT BCB`C?,%A 28ep<TTBCAi?5%F?5%F-q!  b8ep<TT BCBC?.X!  c8ep<TT BCBC?/ &Jk ! u1ep<TTBCB C?0g9! D1ep<TT @CJ1e3! ! n1ep<TTCvBCCA?"2e ! p1ep<TT CvCACvB?2 e'* ! j7ep<TTCvBCCA?"2ek'8! w7ep<TTCvBC<B?+2l+! A,B,C-ST 8JxX "2l0p! A,B,C-HT LQ "23!  u11,C-HTCCACfCB?2" e' uO  v11,C-HTCvBCC?,?"2 9>  Rot. ang. Bj3Cr4hg 26t. ang.C5C6B?5%F?5%F56 27t. ang.C5C6BT?5%F?5%F6! 14t. ang.CvCA@?5%F?5%F 7'! n4t. ang.@CJBCJ?&8>  p9t. ang. BCBj3Cr?A' B9t. ang. CC5B>:! E9t. ang. ACJE >%)J! F9t. ang. A`CJE B't. ang.Cv|DC G-A' k8t. ang.C5C6CC5?G  d8t. ang.C5C6CC5?G!  z8t. ang.@CJACJ?H8(-=! E't. ang.B(CJH8H=! D't. ang.pCJ8H8 'L! s't. ang.A`CJA`C?&I$ Rot. C.C. JG B''. C.C.Cv|EC``JL'> e8'. C.C.C5C6C5C?Lek' D r9'. C.C.CvBC8B?P2]p+! DummyC.C. ierN ! S4mmyC.C.AXCJM;@=! E''myC.C.BtCJN8H! ! p''myC.C.pCJ@CJ?8O- ! q''myC.C.ACJB(CJ?NH$@ Rot. C.W. RG@ Y4t. C.W. C4CSCM%y Out. C.W. U% ! D4t. C.W.A`CJXP$!! C4t. C.W.BCJY$!! Q4t. C.W.A`CJYPo Move F->S4 VIi Q4ve F->S4CJXNS=! 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Ntrl-H->B4BB}< E5rl-H->B4 CCq~H  h5rl-H->B4 CC6CC?ׂjCk ! r7rl-H->B4C{BCvB?ya(! 25rl-H->B4CvBBv6?5%F?5%F"P! 12rl-H->B4CvBB?5%F?5%F e@ ! g3rl-H->B4 CvCACvB? :'* ! b3rl-H->B4CvBCCA?"!  t7rl-H->B4CvCACvB? enm!  k8rl-H->B4CBCvB?xWk|  p8rl-H->B4C@BCvB?wBk?  s8rl-H->B4CBCvB?vEk!  v8rl-H->B4CBCvB?uZ L4'''H->B4CCt? L4'''H->B4C&M^C@ek' t9'''H->B4BBCvB?2ek'!! y9'''H->B4BBCvB?2mr( D''''H->B4BCjjB$ Fd ->C->B4 j.3i@! B' ->C->B4 CCA ;' 0Y! k4 ->C->B4CvCACCA? ek' 0²! j4 ->C->B4CvBCB?.3! B' ->C->B4CCA '+0?b N4 ->C->B4 CvB5M1  43 ->C->B4CvCACCtCCA "h  44 ->C->B4 CvCAC&M^CCvB 2  II ->C->B4C&M^CCvCA?ڪ e  x11->C->B4CvBC&M^C?23  I11->C->B4CCACCt?݉ؠ "dB  z11->C->B4CCtCvCA? fk C'1->C->B4CvB+fk! C'1->C->B4CvB+$ Bk <-C->B4 jh-m!  III<-C->B4CCACB?J@ x! AB'C'-H>B4 i? ! AB'C'-S>B4 > fk ! Q''C'-S>B4 CBW, ! 11'C'-S>B4CCABv6?5%F?5%Fk! 10'C'-S>B4CCABh?5%F?5%F e3UJ ! h3'C'-S>B4CvBCCA?3np ! f3'C'-S>B4CCACvCA? !4! AB'C'-S>B4 H 5H! AB'C'-H>B4   ( M4'''-H>B4C^*C{typu H4'''-H>B4CJ#SB8u]b Ang J4'''-H>B4C(B*v*/ K4'''-H>B4CB10w$)i L4'''-H>B4COBx'!  c7'''-H>B4CvCACCA? hk!  24'''-H>B4CvBCCACBxZzl  25'''-H>B4CvBC@BCBCCAwxEz!  28'''-H>B4C@BCBCCACvBCBwxvEz!  31'''-H>B4CvBCCACBC@BCBCBxwvuEz!  34'''-H>B4CBC@BCBCCACvBC{BCBvwxyu E{ Show'-H>B4   Hide'-H>B4 :'* u9de'-H>B4CvBCCA?"e  y9de'-H>B4 CvCACvB? hPC> 31de'-H>B4CvCAB?5%F?5%F ek' u10e'-H>B4CvBCB?':'*!! c10e'-H>B4CvBCCA?"eB\ ! r10e'-H>B4 CvCACvB? hP! 410e'-H>B4CvCAB?5%F?5%F (H Hide'-H>B4 !3,FZQAtjLG56./&\ Show'-H>B4 3,FZQAtjLG56./ekVHJ ! x4ow'-H>B4 CBCvB?'! p4ow'-H>B4CBCAp?'|Cs! n4ow'-H>B4CCACWC{?'Y! m4ow'-H>B4CvBCC"?'! k3ow'-H>B4CvCACvC? -'3 ! j3ow'-H>B4CCACC?P! 18ow'-H>B4CvBB?5%F?5%FeC  g5ow'-H>B4CvCACB? fj 21ow'-H>B4CB@?5%F?5%F7{ M4'''-H>B4CbRB ns H4'''-H>B4CQ@B _d~ J4'''-H>B4C555BC 49 K4'''-H>B4CZBXa /4@؈ L4'''-H>B4C&M^BD? \a? | P4'''-H>B4 CCA#/! 14'''-H>B4 @@@III = !P! PT0cO[<G0.97 square inchesP@Tc+! 64'''-H>B4 @@@III = !P! PT0cO[<G1.17 square inchesP@Tc&4! 94'''-H>B4 @@@III = !P! PT0cO[<G1.52 square inchesP@Tc(C 12'''-H>B4 @@@III = !P! PT0cO[<G1.62 square inchesP@Tc.3 B''''-H>B4CCA ''H b9'''-H>B4CvCACCA? ek'C c9'''-H>B4CvBCB?.3! B''''-H>B4CCA''! v1'''-H>B4CvCACCA? ek'q! w1'''-H>B4CvBCB?! V"'''-H>B4CCAM! H2'''-H>B4 CĀC.3xJ! P''''-H>B4 CC{ fk Q''''-H>B4 CBgl00 G3'''-H>B4 Cj BT H3'''-H>B4 CtC?D''! w6'''-H>B4CBCvAp? M4''''H>B4CbRCVYV  H4''''H>B4CQ@CI \  J4''''H>B4C555C9Ƣ < K4''''H>B4CZC"  L4''''H>B4C&M^C  W#\( L4''''H>B4CTCYx4]9b K4''''H>B4CZCw  Ang J4''''H>B4CC+ v H4''''H>B4CClܭu~ M4''''H>B4CGCX+ye3  z9''''H>B4CvBCCA?3  a9''''H>B4CCACvCA? 1C> 32''''H>B4CvCABh?5%F?5%F W, 33''''H>B4CCABv6?5%F?5%F~i N5''''H>B4 CCAf.k350 C'''''H>B4CB e3form ! s1''''H>B4CvBCCA?3 ! t1''''H>B4CCACvCA? 1LJ! 51''''H>B4CvCABh?5%F?5%F W,Z! 61''''H>B4CCABv6?5%F?5%F! A1''''H>B4 CCA[8nv! AB'C'-S>B4 y o8v! AB'C'-H>B4 4 ek' a11C'-H>B4CvBC<B?{! Move Q->Q' Z! Move Q->A'  ! V've Q->A'CWCA - ! a4ve Q->A'CĀCCCA?e ! w4ve Q->A' CCACB?Cs ! v4ve Q->A' CvCACCA? -3 ! t4ve Q->A'CC{CCA?'qx! r4ve Q->A'CĀCCC`?'! q4ve Q->A'CC{CvC{?3!  z5ve Q->A'CvCACC{? ek  a5ve Q->A'CvBCB?k 20ve Q->A'CCABh?5%F?5%F.2 22ve Q->A'CC{@?5%F?5%F7f!  j5ve Q->A'Cj BCtC??glUU T3ve Q->A' B*C  u7ve Q->A'C&M^C CZC"?  v7ve Q->A'CZC"C555C9Ƣ?UU  w7ve Q->A'C555C9ƢCQ@CI \?  x7ve Q->A'CQ@CI \CbRCVYV?  y7ve Q->A'CbRCVYVCvCA? eCut  IIve Q->A'CvBC&M^C ? DI( L4'''Q->A'CQCt HMz K4'''Q->A'CRCn ch@؈ J4'''Q->A'CeCk9_ mrZ H4'''Q->A'CCX v{w M4'''Q->A'CCM !  m8'''Q->A'C&M^C CvCA?   q8'''Q->A'CZC"CvCA?   t8'''Q->A'C555C9ƢCvCA? !  w8'''Q->A'CQ@CI \CvCA? h!  22'''Q->A'CvCACvBC&M^C  h  26'''Q->A' CvCACZC"C&M^C CvB h b 29'''Q->A' CvCAC555C9ƢCZC"C&M^C CvB h!  32'''Q->A' CvCACQ@CI \C555C9ƢCZC"C&M^C CvB h b 35'''Q->A'CvCACbRCVYVCQ@CI \C555C9ƢCZC"C&M^C CvB 'iG d9'''Q->A'CCACWC{?' e9'''Q->A'CvBCC"?-'3( f9'''Q->A'CCACC?' g9'''Q->A'CvCACvC? 'dC j9'''Q->A'CCACB?i?  k10''Q->A' CCACvCA? -'3 v10''Q->A'CBCAp?:.3iJx B''''Q->A'CCA'Jp! x1'''Q->A'CCACWC{?'Soft! y1'''Q->A'CvBCC"?-'3%! z1'''Q->A'CCACC?'err! a1'''Q->A'CvCACvC? 'Jo@! c1'''Q->A'CCACB? ! f1'''Q->A' CCACvCA? fk?F* T1'''Q->A' C.H5B C! 16'''Q->A'CWCA@?5%F?5%F 7Jn ! r5'''Q->A'CWCACCA? '! b4'''Q->A'CvCACC{? ,M1R ! L2'''Q->A'CB8kJ! U"'''Q->A'CvC{! C3'''Q->A'CB.3' P3'''Q->A' CC{joi/< J3'''Q->A'CB L3'''Q->A' Cwj CBj D-2 M3'''Q->A' CJCy,1O Q3'''Q->A' C6CyefVi  x6'''Q->A'B*CCB?'' y6'''Q->A'CC{CvC?30  c6'''Q->A'CWCACCA?  ( L4''''->A'CQCt  { K4''''->A'CRCn ).i0p J4''''->A'CeCk9_ 38i H4''''->A'CCX <AA'CCM! #/! 34''''->A' @@@II = !P! PT0cO[<G0.68 square inchesP@Tc&, '! 54''''->A' @@@II = !P! PT0cO[<G0.82 square inchesP@Tc'&4Z! 84''''->A' @@@II = !P! PT0cO[<G1.06 square inchesP@Tc(' 11''''->A' @@@II = !P! PT0cO[<G1.14 square inchesP@Tc)iB M5''''->A' CĀC+`yC^ P5''''->A' CvC{.fkCw Q5''''->A'CB/e-3t  e10'''->A' CCACB?2item! Z10'''->A' CĀC3O! B10'''->A' CvC{6fk><! Q"0'''->A'CB7' b11'''->A'C.H4BC.H4B8?9fkL C'''''->A'C 33BS! Move P->P' @[! Move P->A'  @!! W2ve P->A' CUCA :? V2ve P->A' CCA ;! U've P->A'CvC" >"sT! N2ve P->A'CZC&x5<+LXC ! z4ve P->A'CB8CĀC?=+kR ! y4ve P->A'CvBCB8?=% ! u4ve P->A'CvCACvC{?> 3 ! ! s4ve P->A'CvC{CC{?>-3  f5ve P->A'CC{CCA?@n!  k5ve P->A'CvBC \B?A2  p6ve P->A'Cwj CBj CJCy?CB ? U3ve P->A' CCFfk V3ve P->A'CBE2A  d7ve P->A'CCMCCX?KL(8b  e7ve P->A'CCXCeCk9_?JK .b  f7ve P->A'CeCk9_CRCn?IJ   g7ve P->A'CRCnCQCt?HI  I7ve P->A'CQCtCvCA?q  H-A!  j8ve P->A'CCMCCA?L 3!  n8ve P->A'CQCtCCA?H 3  r8ve P->A'CRCnCCA?I(3  u8ve P->A'CeCk9_CCA?J-8!  x8ve P->A'CCXCCA?K1l  23ve P->A'CCACvCACQCt H1  27ve P->A'CCACRCnCQCtCvCAIH 1 b 30ve P->A'CCACeCk9_CRCnCQCtCvCAJIH 6!  33ve P->A'CCACCXCeCk9_CRCnCQCtCvCAKJIH ?!  36ve P->A'CCACCMCCXCeCk9_CRCnCQCtCvCALKJIH 'A@CG h9ve P->A'CĀCCC`?Q'C  k9ve P->A'CvC{C<C{?Re)Co  j10e P->A' CBCCA?SekCd  m10e P->A' CvBCB?S-C#Ff  q10e P->A'CĀCCCA?QiC  t10e P->A'CvC{CvCA? RfMkR C''e P->A'CBS.3 C''' P->A'CC" Rslat M5'' P->A'CĀCQ'! b1'' P->A'CĀCCC`?U'! d1'' P->A'CvC{C<C{?Ve>~ ! e1'' P->A' CBCCA?Wek ! g1'' P->A' CvBCB?W- ! k1'' P->A'CĀCCCA?U ! m2'' P->A'CvC{CvCA? Vek!  d11' P->A'C 33BCB?SY! A41' P->A'CvCAb ! Move V->V" ]kW~! Move V->V'  ].C ! t5ve V->V'CUCACCA?\'tC! s5ve V->V'CCACB?]! 15ve V->V'CvC"@?5%F?5%F^7` ! j5ve V->V'CvC{CvC"?^>jvo{! R've V->V'CBj <`! F3ve V->V'CC{djo! K3ve V->V' CBie*/  N3ve V->V'CC{fd 3!  z6ve V->V'CCCC{?ge  a6ve V->V'CvC"CvB?^p Hide V->V' >hiwuvynijklpqr#$%o Hide V->V' yonijkqr"$%uvyo( Hide V->V' h iopijnr"#%uyp0a Hide V->V' <qpoin$"#y(E;v Hide V->V' G0r%:JM{ Hide V->V' i*wE%{ Show V->V' iw*lkjinwvuy".! 2how V->V' @@@I = !P! PT0cO[<G0.29 square inchesP@Tcs,!! 4how V->V' @@@I = !P! PT0cO[<G0.35 square inchesP@Tct&4E! 7how V->V' @@@I = !P! PT0cO[<G0.45 square inchesP@Tcu&' 10ow V->V' @@@I = !P! PT0cO[<G0.48 square inchesP@Tcv1D Show V->V'  Fm/IBz Hide V->V' mos"&,M1RCx} R5de V->V'CB8,x.3`i S5de V->V'CC{-y' w10e V->V'CC"CC"?'-  d10e V->V' CĀCCCA?2fk C''e V->V'CvBf.k3@\] C''' V->V'CBfMkR{ C''' V->V'CB~,M1R! D1'' V->V'CB84.3! P"'' V->V'CC{5! F1'' V->V'CC{7fk! H6'' V->V'C.H4BXF! X2'' V->V'CCA!! T2'' V->V' CvC$ U2'' V->V' CvC{MR! R"'' V->V'CXC5_ 27J L2'' V->V'CC>= hl  m6'' V->V' CvBCBi?'BP  q6'' V->V'CCAC0Cw`?.3! X3'' V->V'CC{d! Y3'' V->V'CCAG Show V->V' m@M&s Hide V->V' M&s Show V->V' N'tZm  Show V->V'  Mo"&s[n  Show V->V' i iANpl#w't Hide V->V' 1N't\o. Show V->V' HOqkl$vw(u. Show V->V'  $TO(u) Hide V->V' HO(uZ1mg Show V->V' Prjkl%uvw)v-c Show V->V' Pv)2c Hide V->V' Pv)+kRi  n10e V->V'CvBCB8?+LDi  p10e V->V'CB8CĀC?Q-3  r10e V->V'CCACC{?3C#  s10e V->V'CC{CvC{?R U50e V->V'CC"9ek3  k10e V->V'CBCvB?e-3   m11e V->V'CC"CB?,M1R R5'e V->V'CB8~,M1R/ R5'e V->V'CB8ekR  r11e V->V'CvBCB?+kR ! h11e V->V'CvBCB8?+L ! j11e V->V'CB8CĀC?U-3 ! j21e V->V'CCACC{?3mm ! k21e V->V'CC{CvC{?V! 721e V->V'CC{@?5%F?5%F7! P'1e V->V'CWC{V! Q'1e V->V'CC" '/! a21e V->V'CC{CvCA?  K6'e V->V'@Cdfk H6'e V->V'C {gBSY|X! Move U->U' ^! Move U->U" eC ! v5ve U->U" CBCCA?C! 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