The parallel through A to the b-side of the first Brocard triangle, the parallel through B to the c-side and the parallel through C to the a-side concur.
The parallel through A to the c-side of the first Brocard triangle, the parallel through B to the a-side and the parallel through C to the b-side concur.
The concurrence points B1*, B2* are the isogonals of the Beltrami points and lie in the Steiner circumellipse.