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Topics List

O, Concurrent NPCs

(7)
[APH]: Let ABC be a triangle and A'B'C' the pedal triangle of O. Denote: Ma, Mb, Mc = the midpoints of AA', BB', CC', resp. Maa, Mab, Mac = the reflections of
Antreas Hatzipolakis
7
posts
May 24

An Euler line passing through H

(4)
CONJECTURES: Let ABC be a triangle Q a point on the Euler line and A'B'C' the pedal triangle of Q. Denote: Aa, Ab, Ac = the reflections of A in QA', QB', QC',
Antreas Hatzipolakis
4
posts
May 22

H, I, Coaxial

(3)
Let ABC be a triangle and A'B'C' the cevian triangle of I. Denote: A"B"C" = the reflection triangle (ie A", B", C" = the reflections of A,B,C in BC, CA, AB,
Antreas Hatzipolakis
3
posts
May 20

Euler lines locus

(4)
[APH]: Let ABC be a triangle, P a point and A'B'C' the cevian triangle of P. Denote: A"B"C" = the circumcevian triangle of P wrt triangle A'B'C' ie A", B", C"
Antreas Hatzipolakis
4
posts
May 19

Perpendicular bisectors, Concurrent NPCs

(4)
[APH]: Let ABC be a triangle and P a point. Denote: La, Lb, Lc = the perpendiculars to BC, CA, AB, resp. through P. Ab = Lb /\ AB Ac = Lc /\ AC Bc = Lc /\ BC
Antreas Hatzipolakis
4
posts
May 18

Radical axes, locus

(9)
[ Antreas Hatzipolakis]: Let ABC be a triangle, P a point and A'B'C' the antipedal triangle of P. Denote: Ab, Ac = the orthogonal projections of A on PB, PC,
Antreas Hatzipolakis
9
posts
May 17
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