E444 -- De motu gravium citissimo super curvis specie datis

(On the most rapid (descending) motion of weights along curves of a specified type)


One problem Euler treats in this paper is given by Homer White:
Problem 2, for example, runs as follows: Given two points A (higher) and B (lower), to find, among all semi-ellipses whose axes lie along the line AB, that semi-ellipse which permits the most rapid descent of the weight from A to B.

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