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A Treatise on Painting

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Through Leonardo da Vinci

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The main aim of the treatise was to argue that painting was a science. Leonardo's keen observation of expression and character is evidenced in his comparison of laughing and weeping, about which he notes that the only difference between the two emotions in terms of the "motion of the [facial] features" is "the ruffling of the brows, which is added in weeping, but more elevated and extended in laughing."

This manuscript contains the famous branching rule:

All the branches of a tree at every stage of its height when put together are equal in thickness to the trunk [below them].

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