I have been working through Barrow's Geometrical Lectures, but am having an extremely hard time following his proofs of Theorems IX.1-IX.3, which amount to a geometric (and I think limit-free) demonstration of the power rule for positive rationals. Can anyone offer an explanation of his proof?
2026-04-07 22:58:23.1775602703
Barrow's Geometric Proof of Power Rule
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Barrow is notoriously difficult to follow but he has been studied by scholars like Antoni Malet; see e.g., this publication.