Two 'isotomic' loci.
- Dear all,
Let the (Cevian) traces A'B'C' of a point P divide BC in segments with
|BA'|=t1 and |A'C|=t2. In the same way |CB'|=u1, |B'A|=u2 and |AC'|=v1
We well know that t1*u1*v1 = t2*u2*v2.
But which is the locus with t1+u1+v1 = t2+u2+v2 ??
And which is the locus with t1^2 + u1^2 + v1^2 = t2^2 + u2^2 + v2^2 ??