A second type of proof in the geometry is a proof by or indirect proof?

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I am not really sure what you are asking but there are 3 types of proofs in geometry a flow proof, a 2-collumn proof, and a paragraph proof.

A proof in geometry is basically proving a specific thing, like this segement is congruent to this, or proving something is a parallelogram....there are all sorts of very different kinds of proofs....

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