|
|
|
|
|
|
|
|
CTK Exchange
Bui Quang Tuan
Member since Jun-23-07
|
Aug-29-07, 08:41 AM (EST) |
    |
"Six Concyclic Orthocenters"
| |
Dear All My Friends,
Given triangle ABC and one point P with pedal triangle PaPbPc.
Ap, Bp, Cp are reflections of P in BC, CA, AB respectively.
Ha, Hb, Hc are orthocenters of APbPc, BPcPa, CPaPb respectively.
Ah, Bh, Ch are orthocenters of ApHbHc, BpHcHa, CpHaHb respectively.
Please prove that six orthocenters Ha, Hb, Hc, Ah, Bh, Ch are concyclic.
Thank you and best regards,
Bui Quang Tuan |
|
|
Alert | IP |
Printer-friendly page |
Reply |
Reply With Quote | Top |
|
|
You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.
![]()
Copyright © 1996-2018 Alexander Bogomolny
|
|
Printer-friendly copy
Email this topic to a friend