2040 



Dynamical Analogues and Models 



2050 



2040 Equivalence of dynamical 

 problems, dynamical analogues, 

 models. (See also 0430.) 



Analogies of second law of thermodynamics. 



Boltzmann, L. Crelle J. Mth. 100 (1887) 



201-. 

 , mechanical and electrical. Bedell, F., 



<& Crehore, A. C. Elect. Bv. 32 (1893) 



126-. 

 Analogue, cyclic, of inductive action of circular 



currents. Hasenoehrl, F. Wien Ak. Sb. 



105 (1896) (Ab. 2a) 900-. 

 Analogues, statical and kinematical. Everett, 



J. D. B. A. Ep. (1874) (Sect.) 11. 

 Analogy between motion of rigid body about 



fixed point and equilibrium of elastic rod. 



Zukovskij, N. E. [1900] Bee. Mth. 



(Moscou) 21 (1901) 542- ; Fschr. Mth. (1900) 



703. 

 Analytical equivalence of dynamical problems. 



Stdckel, . Crelle J. Mth. 107 (1891) 319-. 

 Berliner's molecularium. Anon. Tel. J. 22 



(1888) 255-. 

 Consonance, interference and absorption in 



sound and light, pendulum experiments. 



Isenkrahe, C. Carl Bpm. 16 (1880) 99-, 



516-. 

 Dynamical equations, transformation. Picciati, 



G. N. Cim. 33 (1893) 241-. 



equivalence of problems of stationary tem- 

 peratures, torsion and flow in pipes. 

 Boussinesq, J. Liouv. J. Mth. 6 (1880) 

 177-. 



Forces required to produce equal displace- 

 ments, homologous systems. Siacci, F. 

 Em. B. Ac. Line. Ed. 5 (1889) (Sem. 1) 626-, 

 856-. 



Gyroscope and Hall's and Faraday's phe- 

 nomena. Elie, B. J. de Ps. 1 (1882) 

 269-. 



Homography in mechanics. Appell,P. C. B. 

 108 (1889) 224-; Am. J. Mth. 12 (1890) 

 103-. 



Imitation of magnetic phenomena by liquid 

 currents. Decliarme, C. C. E. 95 (1882) 

 340-, 387-; A. C. 29 (1883) 404-. 



Nobili's rings by liquid currents. 

 Decharme, C. C. E. 94 (1882) 722- ; A. C. 

 28 (1883) 198-. 



Imperfect bicyclic system representing induc- 

 tion of 2 circuits. Garbasso, A. Tor. Ac. 

 Se. At. 32 (1896) 746- or 1008-. 



Isogonal transformations in mechanics. 

 Goursat, E. C. E. 108 (1889) 446-. 



. Darboux, G. C. B. 108 (1889) 



449-. 



Machines and models. Sang, E. Edinb. N. 

 Ph. J. 14 (1833) 145- ; 23 (1837) 262- ; 28 

 (1838) 70-. 



, comparison. Chaubry, . [1800] 



Le Mans Tr. S. (1820) 33-. 



, . Bertrand, J. C. E. 25 (1847) 



163- ; Par. EC. Pol. J. 32 cah. (1848) 



Machines and models, comparison. Barr, A. 

 Glasg. I. Eng. T. 42 (1899) 322-. 



, validity of inferences drawn from 



experiments with latter. Nordmark, Z. 

 Stockh. Ak. Hndl. 34 (1813) 135-. 



Mechanical image of thermodynamic phe- 

 nomena. Chaperon, . C. E. 109 (1889) 

 852-. 



theories of physical phenomena. Michelison, 

 V. A. Es. Ps.-C. S. J. 23 (Ps.) (1891) 415- ; 

 J. de Ps. 1 (1892) 404. 



Model for demonstration of application of 

 Lagrange's equations to heat and electricity. 

 Boltzmann, L. D. Mth. Vr. Jbr. 1 (1892) 

 53-. 



of Hess's pendulum. Zukovskij, N. E. 

 Mosc. S. Sc. Bll. 96 (No. 1) (1899)3- ; Fschr. 



Mth. (1899) 655-. 

 to ill 



illustrate Hertz's equations, failure. 



Boltzmann, L. [1898] D. Mth. Vr. Jbr. 7 



(1899) (Heft 1) 76-. 

 of 2 jointed rods, illustrating Hertz's theories. 



Boltzmann, L. D. Nf. Vh. (1898) (Th. 2, 



Halfte 1) 67. 

 , (Boltzmann). Brill, 



A. D. Mth. Vr. Jbr. 8 (1900) (Heft 1) 200-. 

 Models for illustrating laws of mechanics. 



Fischer, K. D. Nf. Vh. (1899) (Th. 2, Halfte 



1) 289-. 

 , physico-geometrical. Herschel, A. S. L. 



Ps. S. P. 10 (1890) 102-. 

 , small, for study of stability of ships. 



Leflaive, J. C. E. 122 (1896) 704-. 

 Motion producing effect of weight, lecture 



experiment. Reichel, 0. Berl. Ps. Gs. Vh. 



(1890) 124-. 

 Similar systems, performance. Moon, W. Tel. 



J. 27 (1890) 419-. 

 Similitude in mechanics. Delanges, P. 



Bologna Mm. I. It. 2 (1810) (pte. 2) 251-. 

 . Estocqu&is, Th. d'. [1856] (xn) 



Doubs S. Mm. 8 (1857) 74-. 

 , influence of scale on characteristics of 



machines. Carvallo, E. J. de Ps. 1 (1892) 



209-. 

 , law. Breton, P. Les Mondes 18 



(1868) 728-. 

 , and motion of solid of revolution. 



Tilly, J. M. de. Brux. Ac. Bll. 37 (1874) 815-. 

 physics, laws. Vaschy, . A. Te"l. 



[19] (1892) 25-. 

 Transformation of motion. Dautheville, . 



Par. EC. Norm. A. 7 (1890) 361-. 

 . Appell, P. Crelle J. Mth. 110 



(1892) 37-. 



. Stackel, P. Gott. Nr. (1898) 157-. 



Vibration of fluids or solids, Savart's law, 



demonstration. Cauchy,A.L. [1829] Par. 



Mm. Ac. Sc. 9 (1830) 117. 



2050 Cyclical systems ; self- 

 equivalence. 



Concealed motion and elimination of co- 

 ordinates. Koenigsberger, L. Berl. Ak. Sb. 

 (1897) 158-. 



159 



