0 2~ac$apm' |R'gGt L@''g\h@"@l"D!?@@jB"P@@$@l"g nine-point circlef the big one had toVncide with two vVces of the smallV, and th>f0V0f<@ ?@]ly tt L@''g\h@"@l"D!?@@jB"P@@$@l"~g circumcirclelepoints of the big one had toVncide with two vVces of the smallV, and th>f0V0f<@A L@''g\hA@"@l"D!?@@jB"P@@$@l"CCR L@''g\hB@"@l"D!?@@jB"P@@$@l"CcC!  L@''g\hC@"@l"D!?@@jB"P@@$@l"DC L@''g\hC@"@l"D!?@@jB"P@@$@l"c,E]v.C\v,AWouThe Euler line for triangle ABC actually, the Euler segment runs from ABCs circumcenter O to ABCs orthocenter H (where the altitudes crisscross). Precisely one-third of the way from O to H, the line passes through ABCs centroid G; at the exact halfway point, it passes through P, center of the so-called nine-point circle. The nine points through which that circle passes are: Ma, Mb, Mc (ABCs median points); Ha, Hb, Hc (feet of ABCs altitudes); and Xa, Xb, Xc (midpoints of the segments connecting H with each of the vertices). Last but not least, note the poor forgotten incenter I, somehow left out of the party.completely left out of the party.y.y.east, not|xtpl<t uL@''g\hC@"@l"D!?@@jB"P@@$@l"~ Euler line@3# L@''g\hB8"@l"D!?@@jB"P@@$@l"CC L@''g\hC8"@l"D!?@@jB"P@@$@l"CbC;kO L@''g\hC8"@l"D!?@@jB"P@@$@l" Euler segmentTTTTlTXBgBg L@''g\hs7"@l"D!?@@jB"P@@$@l"CCRCcC?! Te L@''g\ht7"@l"D!?@@jB"P@@$@l"CcCDC?! B. L@''g\hv7"@l"D!?@@jB"P@@$@l"DCCCR?'L L@''g\hw7"@l"D!?@@jB"P@@$@l"CcCCCt?'? L@''g\hx7"@l"D!?@@jB"P@@$@l"CCRCC?U L@''g\hk8"@l"D!?@@jB"P@@$@l"CCCbC? > L@''g\hC8Ր"@l"D!?@@jB"P@@$@l"C$C q'$ L@''g\hy7Ր"@l"D!?@@jB"P@@$@l"D@DC߀C@? Q %' L@''g\hz7Ր"@l"D!?@@jB"P@@$@l"CCCC? / 4Jh L@''g\hMbՐ"@l"D!?@@jB"P@@$@l"DC "" L@''g\hMaՐ"@l"D!?@@jB"P@@$@l"C@C /m4rJFf L@''g\hMcՐ"@l"D!?@@jB"P@@$@l"C@C  L@''g\hD8Ր"@l"D!?@@jB"P@@$@l"C4CGL G P L@''g\hI8Ր"@l"D!?@@jB"P@@$@l"CJCY^ L@''g\hH8Ր"@l"D!?@@jB"P@@$@l"CC ~'/ L@''g\ha7Ր"@l"D!?@@jB"P@@$@l"C@CrC@D `? +'E L@''g\hb7Ր"@l"D!?@@jB"P@@$@l"CրCDC? WZ'Yi L@''g\hc7Ր"@l"D!?@@jB"P@@$@l"CcCDC?C' L@''g\hd7Ր"@l"D!?@@jB"P@@$@l"C@CDC?IN2` L@''g\hO7Ր"@l"D!?@@jB"P@@$@l"C@C> OTxf L@''g\hG7Ր"@l"D!?@@jB"P@@$@l"CԀCUU X L@''g\hj7Ր"@l"D!?@@jB"P@@$@l"CcCCC?^% 0 L@''g\hk7Ր"@l"D!?@@jB"P@@$@l"CCRCC?X! L@''g\hj8Ր"@l"D!?@@jB"P@@$@l"DCCC?H~^V L@''g\h Euler segment"@l"D!?@@jB"P@@$@l"CCC@C>?@x5m- L@''g\h34ler segment"@l"D!?@@jB"P@@$@l"C@C>C+Q?5%F?5%FQVrg L@''g\hP4ler segment"@l"D!?@@jB"P@@$@l"CޠCa #g L@''g\h33ler segment"@l"D!?@@jB"P@@$@l"CޠCaBQ?5%F?5%F%g  L@''g\h33ler segment"@l"D!?@@jB"P@@$@l"?5%F?5%FCޠCaDCa& L@''g\ hHcler segment"@l"D!?@@jB"P@@$@l"CdC}r &TY L@''g\ hHbler segment"@l"D!?@@jB"P@@$@l"DUC1. & L@''g\ hHaler segment"@l"D!?@@jB"P@@$@l"CC  &! L@''g\hf7ler segment"@l"D!?@@jB"P@@$@l"DCCdC}r?(Sl L@''g\hg7ler segment"@l"D!?@@jB"P@@$@l"CcCDUC1.?) L@''g\hh7ler segment"@l"D!?@@jB"P@@$@l"CCRCC?*tmyr L@''g\ hXbler segment"@l"D!?@@jB"P@@$@l"C@C,&3 L@''g\ hXaler segment"@l"D!?@@jB"P@@$@l"CCH-&t y3 L@''g\ hXcler segment"@l"D!?@@jB"P@@$@l"DC+&