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Ueber die Bewegung eines Rotationskörpers in einer Flüssigkeit. + Ueber die Kräfte. welche zwei unendlich dünne, starre Ringe in einer Flüssigkeit scheinbar auf einander ausüben können. (2 Papers).
Berlin, G. Reimer, 1870. 4to. Without wrappers. In: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 71. Bd., Heft 3, pp. (2),201-304. Entire issue offered with titlepage. Kirchhoff's papers: pp. 237-262 and pp. 263-273. Light browning to titlepage. A few scattered brownspots to margins.
First printing of these two importent papers, forming the substance of Kirchhoff's hydrodynamics.Kirchhoff was the first to show how the differential equations as used on rigid bodies, could elegantly be used on ideal fluid bodies, to. (The Kirchhoff-Clebsch equations).The issue contains further R. Lipschitz: Entwicklung einiger Eigenschaften der quadratischen Formen von n Differentialen. 1.-2. Mittheilung. Pp. 274-287 and 288-304.
"KIRCHHOFF, GUSTAVE ROBERT. - THE VELOCITY OF ELECTRICITY DETERMINED.
Reference : 45075
(1857)
Ueber die Bewegung der Elektricität in Drähten.
Leipzig, Johann Ambrosius Barth, 1857. Without wrappers. In ""Annalen der Physik und Chemie. Hrsg. von J.C. Poggendorff"", Bd. 100, No 2 . Pp. 177-252 a. 1 plate. (Entire issue offered). Kirchhoff's paper: pp. 193-217. With titlepage to volume 100.
First printing of an importent papers on the theory of electricity in conductors, telegraph-cables etc., determining the velocity of the electrical propagation. He found that the propagation velocity of electricity to be ""very close to the velocity of light in empty space"".""The work of Thomson on signalling along cables was followed in 1857 (the paper offered) by a celebrated investigation by Kirchhoff's, on the propagation of electrical disturbance along a telegraph wire of circular cross-section. (Whittaker ""A History of the Theories of Aether and Electricity"", pp. 230 ff.).""The field was still open (the nature of the electric current) when Kirchhoff entered it in 1857 with his own general theory of the motion of electricity in conductors. His first paper, in which he treated linear conductors from the same premises as Weber, turned out to coincide in all essentials with an investigation carried out by Weber shortly before but delayed in publication. Both physicists noticed a remarkable implication of their theory: in a perfectly conducting circuit, oscillating currents could be propagated with a constant velocity, independent of the nature of the conductors, and numerically equal to the velocity of light. Both Kirchhoff and Weber, however, pointing to the extreme character of the condition of infinite conductivity, dismissed this result as a mere accidental coincidence.""(DSB)
Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.
Berlin, G. Reimer, 1850. 4to. Without wrappers. From ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 40. Bd., Heft 1, pp.IV,92,(2) pp. and 2 lithographed plates. Entire issue offered with titlepage. Kirchhoff's paper: pp. 51-88.
First printing of Kirchhoff's milestone paper on ""the theory of plates in which we find the first satisfactory theory of bending of plates...he established the correct mathematical expressions for the potential energy,...further he shows that are only two boundary conditions and not three, as was supposed by Poisson...The advent of this theory of plates was a very great step foreward in the theory of elasticity, and it has become especially importent lately owing to its wide application in the design of various kinds of thin-walled structures."" (Timoshenko p. 253-54).
