# Topics List

### A Circle -- Locus

(8)

[APH] ... [CL] M1M2M3 is always perspective with the medial triangle A’B’C’ of ABC. [...] ******************* Are the parallels trough A,B,C to A'M1,
Antreas Hatzipolakis

May 25

### N -- Locus

(4)

Dear Chris, I am wondering how could we use the property quoted below in qudrangles. Let ABCD be a quadrangle Denote: Na, Nb, Nc, Nd = the NPC centers of BCD,
Antreas Hatzipolakis

May 19

### A cyclology

(5)

[APH] The configuration with Q = H and P = N is interesting not only for cyclology! Let ABC be a triangle. Denote: P1, P2, P3 = the reflections of N in
Antreas Hatzipolakis

May 17

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### locus

(14)

From: César Lozada [APH] Generalization: Let ABC be a triangle and Q, Q* two isogonal conjugate points and P a variable point. Which is the locus of P such
Antreas Hatzipolakis

Apr 30

### G,I

(4)

Let ABC be a triangle and P a point. The AP line intersects the circle with diameter BC at A' on the negative side of BC (ie not on the side the vertex A is).
Antreas Hatzipolakis

Apr 23

### A NPC center on the OI line ?

(4)

... circumcenter of triangles BPC,CPA,APB. >Let A',B',C' be midpoints of AOa,BOb,COc then NPC center of A'B'C' lies on Euler line of ABC. Denote Np = the NPC
Antreas Hatzipolakis

Apr 20

### I -- Concurrent Circumcircles

(4)

Let ABC be a triangle and I1,I2,I3 the reflections of I in BC,CA,AB, resp. Denote: I12, I13 = the orthogonal projections of I1 on AC,AB, resp. I23, I21 = the
Antreas Hatzipolakis

Apr 19

### Antipedal triangle -- Loci

(3)

Let ABC be a triangle, P a point and PaPbPc the antipedal triangle of P. Denote: AaAbAc, BaBbBc, CaCbCc = the pedal triangles of Pa, Pb, Pc, resp. A'B'C.' =
Antreas Hatzipolakis

Apr 19

### Orthologic triangles - Locus

(14)

Orthologic centers and homography Angel Montesdeoca, Centros ortológicos y homografía ...
Antreas Hatzipolakis

Apr 15

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

(5)

[A variation of a configuration by APH] Let ABC be a triangle, A'B'C' a variable triangle w/r to ABC and A1B1C1, A2B2C2 the medial triangles of ABC, A'B'C',
Antreas Hatzipolakis

Apr 13

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