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The doctrine of human proportions is very ancient, originating in Egyptian art.588 It appears early in Greek architecture in the proportions of columns and other members of a temple,589 and it was soon transferred to sculpture. As Greek sculpture evolved on traditional lines,590 we should assume that it paid attention to the doctrine of proportions in the human figure, based on numerical ratios, and that such a doctrine would vary from age to age in the various schools of sculpture. Such an assumption is borne out by both literary and archæological evidence. Toward the end of Hellenism many writers refer to just such a measured basis of proportion in Greek art.591 Archæologists have shown by the careful study of multitudes of statues that such proportions exist in Greek sculpture. Thus A. Kalkmann592 has proved that there are sets of ratios in the treatment of the face used by successive schools of sculpture, which were canonical, whether formulated or not. G. Fritsch593 has done for the whole body what Kalkman has done for the face. In fact, anthropometry in relation to Greek sculpture has now become an exact science.594

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