Gibert Point unique?

x(24) is unique. perhaps your methods get another points defined by Gibert. there are many Gibert's works about centers of triangles.

can you share your methods?

http://www.ddekov.eu/j/2007...

I'm working on the five example in the document...and using the same triangle...but the point seems to be in different places...

can you share the worksheet and the text of fifth example?. there is not numbers in the examples

"hay tres clases de matemáticos: los que saben contar y los que no"

saludos

I'm good with all the examples in the document now...except the example on page 3, constructing the Gibert Point using the Prasolov point reflections...

Can you help please...

https://www.geogebra.org/m/R25GbcnP

Thank you for this its a great help...

But I'm trying to reproduce the diagram on page three and I can't, I think the illustration is wrong...

I'll try again to understand...its back to the same issue the Gibert point appears in a different place...

Many thanks

I inserted the diagram in my worksheet and after translation of A,B,C was coincident in all its elements

perhaps you builded other external triangle

Re-worked but still cannot get the blue lines to meet at the Gibert point...

your L' is not correct

you do L'=L reflected in P but L' must be P reflected in b_1

and so on

1. Gibert Point = Perspector of Triangle ABC and the Triangle of the reflections of the

   Prasolov Point in the sides of the Excentral Triangle.

saludos

Thank you, thank you, thank you.....

I have it now...

Thank you for sharing your talent with me...

Clive