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? r????? ???? ??? ???? Pr????? ?? ? ? s? ? t??t ? ???t? s?t S ?? ? ??? ts ?? t?? ????? ?s ? ????? ? ? ??? ??r ?? ? t ? ? ? ? ? ? r?? t ? ??? ts A ??? B ?? S ? t??r? ?s ? ? ??? t C ?? S s?? ? t??t AC = BC ? ? ? s? ? t??t S ?s ? ??tr ???r ? ? ?? ??r ?? ? t?r?? ????r?? t ? ??? ts A ? B ??? C ?? S ? t??r? ?s ?? ? ??? t P ?? S s?? ? t??t PA =PB =PC ? ??? ??? ? t??t ??r ??? ?? t?? ?rs n> 3 ? t??r? ???sts ? ??????? ? s?t ???s?st??? ?? n ? ??? ts? ??? ??t?r???? ??? ? ? t???rs n> 3 ??r ???? ? t??r? ??? st s ? ???????? ??? tr???r?? s?t ???s?st??? ?? n
? ??? ts? Pr????? ?? ??t?r???? ??? tr????s (a,b,c) ?? ? ?s?t?? ? ?? t???rs s?? ? t??t ??? ? ?? t?? ? ?? ? ?rs ab-c, bc-a, ca-b
?s ? ? ? ? ?r ?? 2 ? ? ? ? ???r ?? 2 ?s ?? ??t? ??r ?? t?? ??r? 2
n
? ???r ? n ?s ? ?????? ??t??? ??t? ??r? ? Pr????? ?? ??t ABC ? ? ?? ???t? tr?????? ??t? AB > AC ? ??t G ? ? ?ts ??r?????r???? H ?ts ?rt?? ??? tr?? ??? F t?? ?? ?t ?? t?? ??t?t??? ?r?? A ? ??t M ? ? t ?? ???? ??? t ?? BC ? ??t Q ? ? t ?? ? ??? t ?? G s?? ? t??t ?HQA = 90
?
? ??? ??t K ? ? t?? ? ??? t ?? G s?? ? t??t ?HKQ = 90
?
? ?ss??? t??t t?? ? ??? ts A ? B ? C ? K ??? Q ?r? ??? ????r?? t? ??? ??? ?? G ?? t??s ?r??r? Pr? ? ? t??t t?? ? ?r?????r???s ?? tr?????? s KQH ??? FKM ?r? t????? t t? ??? ? ?t??r?
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? r????? ???? ??? ???? Pr????? ?? ? ? s? ? t??t ? ???t? s?t S ?? ? ??? ts ?? t?? ????? ?s ? ????? ? ? ??? ??r ?? ? t ? ? ? ? ? ? r?? t ? ??? ts A ??? B ?? S ? t??r? ?s ? ? ??? t C ?? S s?? ? t??t AC = BC ? ? ? s? ? t??t S ?s ? ??tr ???r ? ? ?? ??r ?? ? t?r?? ????r?? t ? ??? ts A ? B ??? C ?? S ? t??r? ?s ?? ? ??? t P ?? S s?? ? t??t PA =PB =PC ? ??? ??? ? t??t ??r ??? ?? t?? ?rs n> 3 ? t??r? ???sts ? ??????? ? s?t ???s?st??? ?? n ? ??? ts? ??? ??t?r???? ??? ? ? t???rs n> 3 ??r ???? ? t??r? ??? st s ? ???????? ??? tr???r?? s?t ???s?st??? ?? n
? ??? ts? Pr????? ?? ??t?r???? ??? tr????s (a,b,c) ?? ? ?s?t?? ? ?? t???rs s?? ? t??t ??? ? ?? t?? ? ?? ? ?rs ab-c, bc-a, ca-b
?s ? ? ? ? ?r ?? 2 ? ? ? ? ???r ?? 2 ?s ?? ??t? ??r ?? t?? ??r? 2
n
? ???r ? n ?s ? ?????? ??t??? ??t? ??r? ? Pr????? ?? ??t ABC ? ? ?? ???t? tr?????? ??t? AB > AC ? ??t G ? ? ?ts ??r?????r???? H ?ts ?rt?? ??? tr?? ??? F t?? ?? ?t ?? t?? ??t?t??? ?r?? A ? ??t M ? ? t ?? ???? ??? t ?? BC ? ??t Q ? ? t ?? ? ??? t ?? G s?? ? t??t ?HQA = 90
?
? ??? ??t K ? ? t?? ? ??? t ?? G s?? ? t??t ?HKQ = 90
?
? ?ss??? t??t t?? ? ??? ts A ? B ? C ? K ??? Q ?r? ??? ????r?? t? ??? ??? ?? G ?? t??s ?r??r? Pr? ? ? t??t t?? ? ?r?????r???s ?? tr?????? s KQH ??? FKM ?r? t????? t t? ??? ? ?t??r? ??t?r ???? ???? ??? ???? Pr????? ?? ? r?????? ABC ??s ??r???? ?r??? O ??? ?? r?????? tr? O ? ? ??r??? G ??t? ??? tr? A
?? t?rs??ts t?? s????? t BC ?t ? ??? ts D ??? E ? s?? ? t??t B ? D ? E ??? C ?r? ??? ????r?? t ??? ??? ?? ???? BC ?? t??s ?r??r? ??t F ??? G ? ? t?? ? ??? ts ?? ?? t?rs??t??? ?? G ??? O ? s?? ? t??t A ? F ? B ? C ??? G ??? ?? O ?? t??s ?r??r? ??t K ? ? t?? s????? ? ??? t ?? ? ? t?rs??t??? ?? t?? ??r?????r??? ?? tr?????? BDF ??? t?? s????? t AB ? ??t L ? ? t?? s????? ? ??? t ?? ?? t?rs??t??? ?? t?? ??r?????r??? ?? tr?????? CGE ??? t?? s????? t CA ? ???? ?s? t??t t?? ????s FK ??? GL ?r? ????r?? t ??? ?? t?rs??t ?t t?? ? ??? t X ? Pr? ? ? t??t X ???s ?? t?? ???? AO ? Pr????? ?? ??t R ? ? t?? s?t ?? r??? ? ?? ? ?rs? ??t?r???? ??? ? ? ?? t???s f:R?R s?t?s????? t?? ?q??t??? f

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