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Art History(I need help with this question) Greek Culture and Architecture Is there a contradiction between perfect mathematical proportions and the

Art History(I need help with this question) Greek Culture and Architecture

Is there a contradiction between perfect mathematical proportions and the liberties the Greek architects took to account for perception of the human eye? What does it tell us about the classical Greeks that they were willing to emphasize perfection in perception as opposed to mathematical perfection? Do you think this is an extension of Protagoras statement that man is the measure of all things to include the perception of man as most important? 

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