sauveur frequency string determined (1 résultats)

Paris, L'Imprimerie Royale, 1716. 4to. Without wrappers. Extracted from "Mémoires de l'Academie des Sciences. Année 1713". With engraved frontispiece and titlepage to "Année" 1713. Pp. 324-348 and 2 large folded engraved plates. First appearance of Sauveur's last importent work on the theory of sound."Later, in work presented in 1713 (the paper offered), Sauveur derived the frequency of a string theoretically. He treated the string, stretched horizontally and hanging in a curve because of the gravitational field, as a compound pendulum and he found the frequency of the swinging motion, assumed to have small amplitude. His results agrees with the modern one except for a factor of the quadratic root of 10/phi. It was through Sauveur and the Paris Academy that ideas about harmonics became well known in the early eighteenth century. Sauveur's terminology, including "harmonics" and "node", was adopted and still is current." (DSB XII, p. 128).