(X) touches BC at a point say A'

(Y) touches CA at a point say B'

(Z) touches AB at a point say C'

and

1. ABC, XYZ are perspective.

2. A',B',C' are collinear,

3. The circles (X),)Y),(Z) are concurrent.

aph

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(X) touches BC at a point say A'

(Y) touches CA at a point say B'

(Z) touches AB at a point say C'

and

1. ABC, XYZ are perspective.

2. A',B',C' are collinear,

3. The circles (X),)Y),(Z) are concurrent.

aph