# Topics List

### NPC - Homothetic triangles

(1)

I found this result (with proof) recently, is it well-known ? Let N_a, N_b, N_c be the 9-point center of triangle PBC, triangle PCA, triangle PAB ,
Antreas Hatzipolakis

Jul 4

### Tabov's line

(1)

Dear Geometers, an article intilted "Jordan Tabov’s line’’ has been put on my website.
Antreas Hatzipolakis

Jun 29

### Isogonal Conjugate Points - Locus

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[APH]: Let ABC be a triangle, P,Q two isogonal conjugate points and A'B'C', A"B"C" the pedal triangles of P,Q, resp. Denote: P'a, P"a = the reflections of P in
Antreas Hatzipolakis

Jun 28

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### Circumcenter lies on Brocard axis

(4)

Circumcenter lies on Brocard axis Let $ABC$ be a triangle and $P$ is a point lies on Brocard axis. $PA,PB,PC$ intersect the Appollonius circles with respect to
Antreas Hatzipolakis

Jun 27

### NAGEL

(1)

[APH] Let ABC be a triangle and A'B'C' the cevian triangle of I. Ab := the Orthogonal projection of A on BB' Ac := the Orthogonal projection of A on CC'
Antreas Hatzipolakis

Jun 26

### CONJUGACY (Re: Orthologic triangles - Locus)

(1)

Dear César We can take the reference triangle ABC instead the medial triangle A'B'C'. (the O_ABC is H_medial, so in the case of ABC we take the H of ABC) ie
Antreas Hatzipolakis

Jun 26

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