- View SourceDear Hyacinthists,

1. ABC a triangle,

2. A’B’C’ the médial triangle of ABC

3. M and N two antigonal points wrt ABC

4. PQR the homothetic triangle of A’B’C’ with centre N and ratio 2

5. A”B”C” the antipedal triangle of ABC wrt M (PA perpendicular to B”C” and so on)

More generally, we can consider the anti isogonic triangle so that <PAB” and so on are all egal…

Conclusion : A”B”C” and PQR are perspective.

Application to pair of antigonal points centers?

Sincerely

Jean-Louis

[Non-text portions of this message have been removed] - View SourceDear Hyacinthists,

1. ABC a triangle,

2. A’B’C’ the médial triangle of ABC

3. M and N two antigonal points wrt ABC

4. PQR the homothetic triangle of A’B’C’ with centre N and ratio 2

5. A”B”C” the antipedal triangle of ABC wrt M (PA perpendicular to B”C” and so on)

More generally, we can consider the anti isogonic triangle so that <PAB” and so on are all egal…

Conclusion : A”B”C” and PQR are perspective.

Application to pair of antigonal points centers?

Sincerely

Jean-Louis

[Non-text portions of this message have been removed]