VII

...according to which the present book is organized. In this work, unlike the usual approach, consideration is not merely or primarily given to strings, but rather to all possible types of sounding bodies in equal measure. I have made some of these findings known in the first volume of the New Writings of the Berlin Society of Friends of Natural Science (in quarto) and later, with further improvements, in a treatise that received the prize from the Princely Jablonowsky Society of Sciences in Leipzig; in this regard, I place great value particularly on the favorable judgment of Professor Hindenburg Carl Friedrich Hindenburg (1741–1808), a German mathematician and physicist known for his work in combinatorics.. Furthermore, the vibrations of plates (first in my Discoveries on the Theory of Sound, Leipzig 1787, quarto, where I demonstrated the manner in which they can be made visible This refers to "Chladni figures," where sand on a vibrating plate forms patterns along nodal lines., and investigated the vibrations of a round and a square plate; here, however, in the seventh section of the second part, I have presented them in a better order and added the vibrations of rectangular and elliptical plates—the investigation of which was very laborious—as well as semicircular, equilateral hexagonal, and triangular plates), the vibrations of a bell; of a ring (first in my Discoveries on the Theory of Sound), of a fork (here for the first time), the longitudinal vibrations Vibrations that occur along the length of the object rather than side-to-side. of strings and rods (first demonstrated on strings in the Berlin Musical Monthly part 2, 1792, then also on rods in a treatise published at Erfurt in 1796, also found in the writings of the Electoral Mainz Academy of Sciences, but presented here with several corrections and explanations), and the application of the same to the determination of the speed with which sound is propagated through solid bodies (in Voigt’s Magazine for Natural Science Vol. 1, Part 1, and here in § 226), the torsional vibrations of a rod (in the 2nd volume of the Writings of the Berlin Society of Friends of Natural Science and here in § 97, 98, and 133), the determination of the laws governing the tones produced by burning hydrogen gas original: "Wasserstoffgas." This refers to the "singing flame" experiment where a hydrogen flame in a tube produces a musical tone. in a tube (in the first volume of the Writings of the Berlin Society...