GSPk; Fcapmdt i&YCxCx8CpL L| L <L LCBeB4CL7C[MTriangle Side and Cevian RatiostAFOU$U$GpCuC t,1HNlFF4C\C t@VE[HMU$JLU$GpDC t LHHlHXDC t$)KLUGpU$CC tuz JU G$HHhBC t`7e<IF $HdCdB tJVO[HH G4X tCB tLQ  P*'?'?o8j:Mq WMYtlA ,C=Ct/ 4} C*'?'?o8j:Mq WM^tlA(yoDOC tKePj BpyA?@̠**>PL:EmBCtDI A*'?'?o8j:Mq WMYtlA dC*HBt PY;i?c4JLU$GpUC\C?BF%5?F%5?tATAԲ@c3U$GpU$HDC9ڊBF%5?F%5?tN3I?c2$Gp$HUBC| $BF%5?F%5?t&2s@c1 XHd CBy BF%5?F%5? t.HCP$ m5> PHhTHm jB PHhT?<N?<HnHnNxHm?<?NHnHCP = Distance(C to P) = tHQ m3HH0rIlBP = Distance(B to P) = tH  m1G| $G`AP = Distance(A to P) = tJBj oH l4< l4<H l4<BC,C=C? t 4HnHGlyoDOC,C=C? tCm Db<Q <I` l4<dC*HB,C=C? tC 4,lU GhHHyoDOCdC*HB? tJ. jkyBCyoDOC? tJCjj\(4GdC*HBBC? t -WB AnimateX$XXJd        tnAsFH A'*'?'?o8j:Mq WM^tlAD hӷCC t B'*'?'?o8j:Mq WM^tlA8 7CdCt C'*'?'?o8j:Mq WMYtlA0C\Ct>wV C'A= C'AAC' = C'A =   t-uBlW m13Bht$% ǁǁĠ@BC' = Distance(B to C') =  tw-D$( A'B= I|$0+ѹR+эDA'B |$~$|$(+SIDBA' = A'B =   tu m11|$tD$-cPՃCFF f,93`}F(PCA' = Distance(C to A') =  tw B'C= fS>T$AjSC4B'CS8C<fC@fCBPdždžCB' = B'C =   tu x m9胅 U cˉFm xtS` p V x]_^[Ã{AB' = Distance(A to B') =  tBHW>2DwC'C = Distance(C' to C) = :tZE m18  ={(:{D:AB'}{B'C}}{!:*}{(:{D:CA'}{A'B}}{!:*}{(:{D:BC'}{C'A}} = J(Distance(A to B')/B'C)*(Distance(C to A')/A'B)*(Distance(B to C')/C'A) = $#"! ^tUE m19  :{(:{D:AP}{PA'}}{!:*}{(:{D:BP}{PB'}}{!:*}{(:{D:CP}{PC'}} = q(Distance(A to P)/Distance(P to A'))*(Distance(B to P)/Distance(P to B'))*(Distance(C to P)/Distance(P to C')) = '&%@tU-E m20  *{D:AP}{PA'} + {D:BP}{PB'} + {D:CP}{PC'} = oDistance(A to P)/Distance(P to A') + Distance(B to P)/Distance(P to B') + Distance(C to P)/Distance(P to C') =  '&%Ftb[$hE m29mart 1215 series  -{D:PA'}{A'A} + {D:PB'}{B'B} + {D:PC'}{C'C} = rDistance(P to A')/Distance(A' to A) + Distance(P to B')/Distance(B' to B) + Distance(P to C')/Distance(C' to C) =  +,-./0t Show Cevi's Theoremo8j:Mq WM^tlA  41t Hide Cevi's theoremo8j:Mq WMYtlA8 L1tZTE m22  h{(:{D:AP}{PA'}}{!:*}{(:{D:BP}{PB'}}{!:*}{(:{D:CP}{PC'}} - {(:{D:AP}{PA'} + {D:BP}{PB'} + {D:CP}{PC'}} = (Distance(A to P)/Distance(P to A'))*(Distance(B to P)/Distance(P to B'))*(Distance(C to P)/Distance(P to C')) - (Distance(A to P)/Distance(P to A') + Distance(B to P)/Distance(P to B') + Distance(C to P)/Distance(P to C')) = '&%3tm Show Cevian Theorem 2  3n/O  X4tm Hide Cevian Theorem 2>M:EN m*((* l)4  ,4t Show Cevian Theorem 1>PL:EN m*((* T 732t Hide Cevian Theorem 1   3n/O  732DArialfPfF"fPfF$fPFF&RPTimes New RomanFF܋NN