The Circle of Euler

These 9 points are on the circle of Euler:
- the middles of the sides: A1, B1 and C1
- the projections of A, B and C on the sides: A2, B2 and C2
- the middles of AH, BH and CH: A3, B3 and C3

When a point M is on the circumcircle of $ \Delta $ ABC,we have OM=R
The midsegment $ \Delta $ ABC parallel to OM is wN =$ \frac{1}{2}R $
w is the middle of OH,so it is on Euler line.
The center of the circle is the middle of OH.

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