google-deepmind / google-deepmind/alphageometry
prove of the simple problem of Fig. 1
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Description
I have tried the simple problem of Fig. 1, and it can be proved.
Is there anything wrong?
```
test
a b c = eq2_triangle a b c ? eqangle b c b a c a c b
```
where `eq2_triangle` is defined as:
```
eq2_triangle a b c
c : a b
=
a : ; b : ; c : cong a b a c
eq2_triangle
```
```python
def sketch_eq2_triangle(args: tuple[gm.Point, ...]) -> tuple[Point, ...]:
b = Point(0.0, 0.0)
c = Point(np.random.uniform(0.5, 1.0), 0)
a = Point((b.x + c.x) / 2, np.random.uniform(0.5, 10.0))
return a, b, c
```
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