%PDF-1.5 % 4 0 obj << /S /GoTo /D (section.1) >> endobj 7 0 obj (1 Problems) endobj 8 0 obj << /S /GoTo /D (section.2) >> endobj 11 0 obj (2 Solutions) endobj 12 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 15 0 obj (2.1 Problem 1: Clocks with hands of equal length) endobj 16 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 19 0 obj (2.2 Problem 2: The fundamental theorem of algebra) endobj 20 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 23 0 obj (2.3 Problem 3: Spot it!) endobj 24 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 27 0 obj (2.4 Problem 4: A frame on the wall) endobj 28 0 obj << /S /GoTo /D (subsection.2.5) >> endobj 31 0 obj (2.5 Problem 5: Triangle altitudes and the Jacobi identity) endobj 32 0 obj << /S /GoTo /D (subsection.2.6) >> endobj 35 0 obj (2.6 Problem 6: Parking a car) endobj 36 0 obj << /S /GoTo /D (subsection.2.7) >> endobj 39 0 obj (2.7 Problem 7: Cheating with luggage) endobj 40 0 obj << /S /GoTo /D (subsection.2.8) >> endobj 43 0 obj (2.8 Problem 8: How to be 1/3 Spanish?) endobj 44 0 obj << /S /GoTo /D (subsection.2.9) >> endobj 47 0 obj (2.9 Problem 9: Hunter's tent) endobj 48 0 obj << /S /GoTo /D (subsection.2.10) >> endobj 51 0 obj (2.10 Problem 10: Two boys in a family?) endobj 52 0 obj << /S /GoTo /D (subsection.2.11) >> endobj 55 0 obj (2.11 Problem 11: Setting a table on an uneven floor) endobj 56 0 obj << /S /GoTo /D (subsection.2.12) >> endobj 59 0 obj (2.12 Problem 12: A conic mountain) endobj 60 0 obj << /S /GoTo /D (subsection.2.13) >> endobj 63 0 obj (2.13 Problem 13: Two nested ovals) endobj 64 0 obj << /S /GoTo /D (subsection.2.14) >> endobj 67 0 obj (2.14 Problem 14: Wrap a string) endobj 68 0 obj << /S /GoTo /D (subsection.2.15) >> endobj 71 0 obj (2.15 Problem 15: Ivory's lemma) endobj 72 0 obj << /S /GoTo /D (subsection.2.16) >> endobj 75 0 obj (2.16 Problem 16: Chasles\205Reye theorem) endobj 76 0 obj << /S /GoTo /D (subsection.2.17) >> endobj 79 0 obj (2.17 Problem 17: Equitangent problem) endobj 80 0 obj << /S /GoTo /D (subsection.2.18) >> endobj 83 0 obj (2.18 Problem 18: Pentagons in the projective plane) endobj 84 0 obj << /S /GoTo /D (subsection.2.19) >> endobj 87 0 obj (2.19 Problem 19: Paper M\366bius bands) endobj 88 0 obj << /S /GoTo /D (ref.1) >> endobj 91 0 obj (References) endobj 92 0 obj << /S /GoTo /D [93 0 R /Fit] >> endobj 107 0 obj << /Length 2947 /Filter /FlateDecode >> stream xYK6W({,A vǏ'Y;;99`( IyۍnPI" hYDE'ߗ]\lR"WȒEfz)72W*Iͦw2.= v8tnɋ*YΌU\z LmT2?oD0U 8wl 4sE<$#ő(+QVo@[Bda,k"iX*ӂZikam&M3Pz$*4^2A}8 -z6~9 QXD@F" <#^ve{b^ "$a.E3y(Ad-l}k`7>,3\\*xOX?c3Nj$4o$Ab&+^-1Hlv;=V?*4_M?q?Q,p];vg}3{ZNR#~tך]P\sެmOTe*?Tf?@*[瘓ou_4'*P틋sCw 7G>J9jF2Ng^q,`Y>"#{7m}UVGC`#??)ܠ\ҰPyϔ`eG}.֒k-(kuM݇n/ @ձճ0ٜد8M;Pw.Ӵp hO͛]mvHRԶ5Df$b@km@h`ٰ7$OB,rU̴X wr'W:Ke v(w@{C1-!/JARz3{SXSgvupV]H^27MKY跄JRk9Miu& pBb Nnv2KRIltvRAOZ4s%>-|I:FY]߈bA>b dVNXѶ)j:jd04τ i6 T*Β.]cD ieDpzeksX`O&8J@c&!ߧIpy8d8>RZ/9zH3teݹcU! GbΎqG=o,\
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