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List of geometric theorems linked by two squares

I'm trying to create a classification for geometric theorems that relate to two squares As a type of organization and classification And the curiosity to explore

I have collected some theorems of this type that I will put in an answer/answers.

I hope you can help me expand my list.

It's important to note that I'm not looking for theorems about squares because it would become too extensive a list, I'm looking for theorems about a number of squares equal to exactly twoTherefore, theorems such as Van Opel's theorem are not accepted in the answers