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### N, Concyclic

(8)

GENERALIZATION: Let ABC be a triangle, P, Q two isogonal conjugate points, ApBpCp, AqBqCq the pedal triangles of P, Q, resp. and W the midpoint of PQ (center
Antreas Hatzipolakis

1:05 PM

### 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

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

May 22

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### 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

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

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

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

May 17

## Trending Topics

See All- N, Concyclic 8 Posts
- O, Concurrent NPCs 7 Posts
- An Euler line passing through H 4 Posts
- H, I, Coaxial 3 Posts
- Euler lines locus 4 Posts

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