EULER, LEONHARD.

Recherches sur les plus Grand et plus Petits qui se trouvent dans les Actions des Forces.

(Berlin, Haude et Spener, 1750). 4to. No wrappers, as issued in "Mémoires de l'Academie Royale des Sciences et Belles-Lettres", tome IV, pp. 149-188 and 2 folded engraved plates.

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First edition. Euler shows that any discrete system obeys the Maupertois principle; from this result, he derives the general equation for the balance of moments in a plane elastica, which includes the general catenary as a special case. He also proves that Daniel Bernoulli's principle for the elastica that is free of distributed loads is also a special case of this general equation. - Enestrom No. 145.

Order-nr.: 34682