9 (~$Oc*apm'f'g.< 2M h@'gKC10irclegment"@l"D!?@@jB"P@@$@l"'M +[-^The larger circle, centered on P, is ABCs nine-point circle; the smaller circle, centered on S, is ABCs Spieker circle. The shaded triangle is ABCs median triangle, and the other small triangle is the auxiliary triangle belonging to ABCs Nagel point N, whose vertices are halfway between N and points A, B, and C. Note that lines NA, NB, and NC cut the Spieker circle where it is tangent to the median triangle.e.x?@TP\HH(<?@XP\ m۶m49S, h@'gKC10irclegment"@l"D!?@@jB"P@@$@l"CkC 499>Z0 h@'gKB10irclegment"@l"D!?@@jB"P@@$@l"BlC] h@'gKA10irclegment"@l"D!?@@jB"P@@$@l"C'CD9H h@'gKx12irclegment"@l"D!?@@jB"P@@$@l"CkCC#D/C?f'@ h@'gKw12irclegment"@l"D!?@@jB"P@@$@l"C'CDCIC?9xg h@'gKs11irclegment"@l"D!?@@jB"P@@$@l"CkCC'CD?389 h@'gKr11irclegment"@l"D!?@@jB"P@@$@l"BlCCkC?89H h@'gKq11irclegment"@l"D!?@@jB"P@@$@l"C'CDBlC?  h@'gKX11irclegment"@l"D!?@@jB"P@@$@l"C%Cv3S%\'  h@'gKv12irclegment"@l"D!?@@jB"P@@$@l"CCC2C?  ' h@'gKu12irclegment"@l"D!?@@jB"P@@$@l"@CBC?' h@'gKt12irclegment"@l"D!?@@jB"P@@$@l"C'BC'C?j T h@'gKMb2irclegment"@l"D!?@@jB"P@@$@l"CIC} 49(` h@'gKMa2irclegment"@l"D!?@@jB"P@@$@l"CC ot R"S h@'gKMc2irclegment"@l"D!?@@jB"P@@$@l"BC} q7  h@'gK112irclegment"@l"D!?@@jB"P@@$@l"?mmCIC}CCBC}o%y' h@'gKz12irclegment"@l"D!?@@jB"P@@$@l"CX%Cv3BKpCTf? ' h@'gKy12irclegment"@l"D!?@@jB"P@@$@l"C%C2fC%Cv3? $\f h@'gKr12irclegment"@l"D!?@@jB"P@@$@l"CIC}BC?n'does h@'gKq12irclegment"@l"D!?@@jB"P@@$@l"BC}C8Cb?nC h@'gKm12irclegment"@l"D!?@@jB"P@@$@l"CIC}BC}?9?? h@'gKk12irclegment"@l"D!?@@jB"P@@$@l"CCCIC}?n9!G h@'gKj12irclegment"@l"D!?@@jB"P@@$@l"BC}CC?49? h@'gKZ11irclegment"@l"D!?@@jB"P@@$@l"C%C~ h@'gKY11irclegment"@l"D!?@@jB"P@@$@l"BiCmL: 6j8 h@'gKS11irclegment"@l"D!?@@jB"P@@$@l"C$CD h@'gKM11irclegment"@l"D!?@@jB"P@@$@l"C.Cct A h@'gKL11irclegment"@l"D!?@@jB"P@@$@l"CCw Cl h@'gKK11irclegment"@l"D!?@@jB"P@@$@l"CC}49V06 h@'gKMairclegment"@l"D!?@@jB"P@@$@l"CC `e h@'gKMcirclegment"@l"D!?@@jB"P@@$@l"BC%'/ ?, h@'gKs12irclegment"@l"D!?@@jB"P@@$@l"BHCwC3m$C?' h@'gKp12irclegment"@l"D!?@@jB"P@@$@l"CCCCQ?' h@'gKn12irclegment"@l"D!?@@jB"P@@$@l"CC@BC@? _9f4 h@'gKb12irclegment"@l"D!?@@jB"P@@$@l"CkCBC? 9XG h@'gKa12irclegment"@l"D!?@@jB"P@@$@l"C'CDCC?$\O h@'gKQ11irclegment"@l"D!?@@jB"P@@$@l"C&C!  h@'gKPairclegment"@l"D!?@@jB"P@@$@l"CC#"@@ h@'gKN02irclegment"@l"D!?@@jB"P@@$@l"CC24%$o8 h@'gK402irclegment"@l"D!?@@jB"P@@$@l"CCB6ّ?5%F?5%F') h@'gK392irclegment"@l"D!?@@jB"P@@$@l"C$CDANf?5%F?5%F&9 h@'gKh12irclegment"@l"D!?@@jB"P@@$@l"CC24CkC?(89 h@'gKg12irclegment"@l"D!?@@jB"P@@$@l"CC24BlC?(# h@'gKf12irclegment"@l"D!?@@jB"P@@$@l"C'CDCC24?(@N h@'gK Hc1irclegment"@l"D!?@@jB"P@@$@l"C?)C^ )b2 h@'gK V11irclegment"@l"D!?@@jB"P@@$@l"CIC )p h@'gK Hb1irclegment"@l"D!?@@jB"P@@$@l"C