" 0S} capmx}px1!#s<s<}RP:X~HPbdStyleX~D-IB Use Subscript@ @p@ubMorley's Theoremk[H,] \]\ Cl4  s<s<}RPH_XlIWleHH!h By: Julie and Mike,IHHX#  @@bB #a s<s<}RP F Mark Mirror G- MarkVector Mark Distance Mark Ang  5d|Conjecture: The intersections of the adjacent angle trisectors in any triangle are the vertices of an equilateral triangle.Angle Arc Angle Arc LengthRatio CoordinatesEquation- S$X# X38  s<s<}RPC:1 userdict /_cv known {cv begin stg end}{pop}ifelse #KC%BT   s<s<}RPB@@@@CC DI s<s<}RPA`0 BCG 2C  s<s<}RPsBF Mark Mirror G-Mrk Vector C->BMark Distance rBCGC%BT?2   s<s<}RPrI HC%BTCC?~C   s<s<}RPqHHU HU BCGCC?    s<s<}RPkx~CCC%BT?)5k s<s<}RPm3UU  m{!:A}BCA = x x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@ Angle(BCA) = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!(k s<s<}RPm2 008qf<23&g/1f'31f"3  m{!:A}ABC = x x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@ Angle(ABC) = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!kvHz s<s<}RPm1HnN n?<Hn/N`n??N GfB-v` GfHmv?<  m{!:A}CAB = x x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@ Angle(CAB) = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!2Z'  s<s<}RPl`V V##:1 udC%BTBCG?#C'  s<s<}RPj<3 a3;BCGCC?lx( s<s<}RPm6 @(: E I0( @@(0:  I0(<@(0: @0  {D:m{!:A}BCA}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Angle(BCA)/3 = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH! 2';=  s<s<}R%Pl`V V##:1 udC%BTCpCb?C;2',  s<s<}R%Pl`V V##:1 udC%BTCu5CO?Qkxg s<s<}RPm5g/1gi./ij./ij/1gi1 {D:m{!:A}ABC}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Angle(ABC)/3 = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH! 6Px s<s<}RPm4.ij./ij/1gi1g1g/g {D:m{!:A}CAB}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Angle(CAB)/3 = C|xHF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH! O ,  s<s<}R%Pkx~CCC(Bs?a  tC';  s<s<}R%Pj<3 a3;BCGCB s?ej s<s<}RPF HHXy@XC>B͓ ~c   s<s<}R%Pkx~CCCC%?VC',  s<s<}R%PjՀ<3 a3;BCGCh!B'?zoMlq s<s<}RPEXyzPUHHXy@XC"1Bdq  s<s<}RPtZ( |C"1BC>B͓?Q] s<s<}RPm19  m {S:EF} = B}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Length(Segment EF) = HF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!~ s<s<}RPDXyz PUHHXy@XC6ʀC6 d  s<s<}RPuC>B͓C6ʀC6?k}  s<s<}RPv[HHX~[C6ʀC6C"1B?^j/  s<s<}RPm18""  m {S:FD} = B}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Length(Segment FD) = HF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!DP s<s<}RPm20  m {S:DE} = B}{3} = x y@xPWHHPWH@p@p 4x @4@6@6@6x@`(xPH@Length(Segment DE) = HF}pxx@@\HH,@P@@@ @x xHF}p}x zWHH}pxHFx@B.xHF}ph@x}px 6xx4xx@@ @xLx @RJxGWĂHH!g  s<s<}RPp2?C6ʀC6C>B͓C"1B