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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
1
post
Jul 4

Tabov's line

(1)
Dear Geometers, an article intilted "Jordan Tabov’s line’’ has been put on my website.
Antreas Hatzipolakis
1
post
Jun 29

Isogonal Conjugate Points - Locus

(2)
[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
2
posts
Jun 28

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
4
posts
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
1
post
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
1
post
Jun 26
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