21876Re: [EMHL] loci of concentric isogonals
- Apr 1, 2013Dear Randy,
> Given two fixed isogonal points, X and X', and two variable isogonalI find a bicircular isogonal circum-sextic passing through the in/excenters, X, X', the intersections of (O) and the line XX', their isogonal conjugates at infinity.
> points, P and P', what is the locus of P such that X, X', P, P' are
> Special cases: X,X' = G,K; O,H; 1st and 2nd Brocard points?
A, B, C, X, X' are nodes.
When X lies on (O), the sextic splits into (O), the line at infinity and the pK(X6, X). See
These sextics seem to be not very prolific in ETC centers, in particular your special cases.
There are 3 bicircular isogonal circum-sextics in CTC but none of them corresponds to this configuration.
Who's going to find a nice one ?
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