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### A locus problem

(17)

[APH]: Let ABC be a triangle, A'B'C' the cevian triangle of G and P a point. Denote: Ma, Mb, Mc = the midpoints of AP, BP, CP, resp. A" = PG /\ B'C', B" = PG
Antreas Hatzipolakis

Jun 21

### Reflections, NPCs, perspective, orthologic

(3)

[APH]: Let ABC be a triangle and P a point. Denote: A', B', C' = the reflections of A, B, C in P, resp. Ab, Ac = the orthogonal projections of A' on BP, CP,
Antreas Hatzipolakis

Jun 19

### Circumparallelogic triangles

(3)

Dear César Additional information to your extensive lists of circumorthologic triangles and circumparallelogic triangles. If the triangles A1B1C1 and A2B2C2
Antreas Hatzipolakis

Jun 17

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### Circumorthologic Triangles

(5)

[Angel Montesdeoca]: Another example of circumorthologic triangles Let A'B'C' be the orthic triangle. Let La be the antiorthic axis of AB'C', and define Lb, Lc
Antreas Hatzipolakis

Jun 17

### H, Orthologic

(11)

[APH]: Let ABC be a triangle and A'B'C' the pedal triangle of H. Denote: A", B", C" = the reflections of A', B', C' in A, B, C, resp. N1, N2, N3 = the NPC
Antreas Hatzipolakis

Jun 15

### A circumcenter on the Euler line

(11)

[APH]: Let ABC be a triangle. Denote: N1, N2, N3 = the NPC centers of OBC, OCA, OAB, resp. Na, Nb, Nc = the reflections of N1, N2, N3 in AO, BO, CO, resp. The
Antreas Hatzipolakis

Jun 14

### Re: H, Parallelogic, orthologic

(7)

[APH]: Let ABC be a triangle and A'B'C' the pedal triangle of H. Denote: N1 = the NPC center of AB'C' Na = the reflection of N1 in HA'. Similarly Nb, Nc. 1.
Antreas Hatzipolakis

Jun 13

### G, radical center

(4)

[APH]: Let ABC be a triangle and A'B'C' the cevian triangle of G. Denote: (Oa) = the reflection of the circle with diameter AA' in BC. (Ob) = the reflection of
Antreas Hatzipolakis

Jun 12

### A Lester - like circle

(3)

[Alexander Skutin (solver6)] (*) Let F1. F2 be the first and second Fermat points of ABC and A'B'C' the cevian triangle of F1. The circumcenter and the
Antreas Hatzipolakis

Jun 11

### Radical center, Euler line, locus

(3)

Variation of Hyacinthos #26145 ... Let ABC be a triangle, P a point and
Antreas Hatzipolakis

Jun 11

### Orthologic

(24)

[APH]: Let ABC be a triangle and A'B'C' the pedal triangle of O. Denote: Ab, Ac = the reflections of B', C' in AO, resp. Na = the NPC center of OAbAc.
Antreas Hatzipolakis

Jun 10

### N, Concyclic

(10)

[Le Viet An]: Let ABC be a triangle and MaMbMc the pedal triangle of O. Denote: Pa = AO /\ MbMc, Pb = BO /\ McMa, Pc = CO /\ MaMb N, Na, Nb, Nc = the NPC
Antreas Hatzipolakis

Jun 8

Antreas Hatzipolakis

Jun 2

### N, H, Euler lines, parallelogic

(3)

[APH]: Let ABC be a triangle and A'B'C' the pedal triangle of N. Denote: Ab, Ac = the orthogonal projections of A' on BH, CH, resp. La = the Euler line of
Antreas Hatzipolakis

May 31

### 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

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## Trending Topics

See All- A locus problem 17 Posts
- Reflections, NPCs, perspective,... 3 Posts
- Circumparallelogic triangles 3 Posts
- Circumorthologic Triangles 5 Posts
- H, Orthologic 11 Posts

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