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The Method   Proposition 2
    It would have been obvious to the Greek Geometers that CA. AS = AO2. Can you see why?

Hint 1. In geometric terms the equality is
    the rectangle contained by CA, AS is equal to the square on AO.
Hint 2.
    Let CO be joined. Angle AOC is _______?
Hint 3.
    Let OS be joined. Triangles CAO, OAS are _______?
Hint 4. Since triangles CAO, OAS are _______,
    ?? is to ?? as ?? is to ??.
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