1260 Statics of Chains 



Chain fastening weight on inclined plane, 

 equilibrium. Villaret, . Kv. Mar. et Col. 

 44 (1875} 682-. 



on rough surface. August, F. Arch. Mth. 

 Ps. 70 (1884) 225-. 



stiffened by means of beam, theory. 

 Miiller-Breslau, H. F. B. Hann. Archt.- 

 Vr. Z. 27 (1881) 57-. 



on surface, under any forces. Coombe, J. A. 

 Ph. Mg. 24 (1844) 432-. 



traversed by current and exposed to action of 

 pole of magnet, equilibrium figure. Darboux, 

 G. fill. Sc. Mth. As. 2 (1878) 433-. 



Chains, equilibrium, and motion of particle on 



spherical surface. Preston, T. [1889] Ir. 



Ac. T. 29 (1887-92) 321-. 

 Circular chains, 2, repelling each other in- 

 versely as cube of distance. Townsend, R. 



[1872] QJ. Mth. 12 (1873) 214. 

 Elastic wires and brachistochrones, canonical 



equations. Legoux, A. Toul. Ac. Sc. Mm. 



7 (Sem. 2) (1885) 159-. 

 Elliptic functions, applications. Marcolongo, 



E. Nap. Bd. 31 (1892) 71-, 89-. 

 Equations, canonical differential. Imshenetskil, 



V. G. (xn) Kharkov Mth. S. Com. (1880) 



18-, 53-. 

 , reduction to canonical form. Appell, P, C. 



B. 96 (1883) 688-. 

 Figure of equilibrium of a chain. Clebsch, A. 



Crelle J. 57 (1860) 93-. 

 Funicular curve, equilibrium when chain is 



extensible. Moseley, H. Tilloch Ph. Mg. 



67 (1826) 324-. 



curves. Pennacchietti, G. Catania Ac. 

 Gioen. At. 3 (1891) 271- ; 4 (1892) Mem. 1, 

 14 pp. 



and polygons, analogy. Padelletti, D. 

 G. Mt. 14 (1876) 14-. 



Statics of Flexible Surfaces 1260 



Telegraph lines, formulae and tables relating 

 to. Larose, H. A. Te"l. 24 (1898) 488-. 



, tensions in, at different temperatures. 



Barbarat, A. A. Tel. 14 (1887) 229-. 



Tension of ropes. Cossali, P. [1802] Mod. 

 Mm. S. It. 10 (1803) 285-. 



in pulley blocks, computation. Court- 

 ney, G. (vn) Pp. Nv. Archt. 3 (1831) 285-. 



Uniform chain, free equilibrium. Townsend, E. 

 QJ. Mth. 13 (1875) 217-. 



STATICS OF FLEXIBLE SUBFACES. 



Cisa de Gresi, . Tor. Mm. Ac. 23 (1818) 



259-. 



Mainardi, G. Mil. G. I. Lomb. 8 (1856) 304-. 

 Besant, W. H. QJ. Mth. 3 (1860) 68- ; 4 (1861) 



Lecornu, L. C. B. 91 (1880) 809- ; Par. EC. 



Pol. J. cah. 48 (1880) 1-. 

 Beltrami, E. Bologna Ac. Sc. Mm. 3 (1881)217-. 

 Morera, G. Bm. B. Ac. Line. T. 7 (1883) 268-. 

 Maggi, G. A. Mil. I. Lomb. Bd. 17 (1884) 683-. 

 Volterra, V. Bm. B. Ac. Line. T. 8 (1884) 



214-, 244-. 

 Padova, . Bm. E. Ac. Line. Bd. 1 (1885) 



269-, 306-. 



Hotter, F. Crelle J. Mth. 103 (1888) 44-. 

 Pennacchietti, G. Palermo Cir. Mt. Bd. 9 



(1895) 87-. 

 Eachmaninov, 1. 1. [1896] Bee. Mth. (Moscou) 



19 (1897) 110- ; Fschr. Mth. (1895) 813-. 

 Balloons, elongated, shape. Espitallier, . 



Isere S. Bll. 25 (1887) 234. 

 Closed surface under normal forces varying as 



dff \li + r}' Joubert > C - Liouv - J - Mth- 

 13 (1848) 241-. 



, transformation of conditions of equi- j f^_ , ^\ A nf itraivn 



libriumfor. Novarese, E. Tor. Ac. Sc. At. \Pi pj' ' 



Mess. Mth. 21 (1892) 42-. 



22 (1886-87) 801-. 



polygon, equilibrium, and the catenary. 

 Steichen, . [1853] Crelle J. 50 (1855) 93-. 



polygons and chains under central forces. 

 Emery, G. Bm. S. It. Mm. 7 (1890) No. 5, 



Heavy chain on curve, neutral equilibrium. 

 Karagiannides, . N. A. Mth. 16 (1897) 

 374-. 



stretched chain. Eesal, H. A. Liouv. J. 

 Mth. 8 (1882) 383-. 



Homogeneous chain. Collignon, E. As. Fr. 



. C. B. (1884) (Pt. 2) 1-. 



Integrals connected with equilibrium of chains. 



Saltykow, N. N. A. Mth. 16 (1897) 245-. 

 . Lagoutinsky, M. N. A. 



Mth. 17 (1898) 149-. 

 Networks. Daniele, E. Palermo Cir. Mt. Bd. 



13 (1899) 28-. 

 Telegraph lines, catenaries, formulae. Nystrom, 



C.A. J. Tel. 8 (1884) 110-. 



, change of tension and "sag" with 

 temperature. Schenkel, H. Elekttech. Z. 

 17 (1896) 721-. 



, construction over sloping ground. Bru- 



nelli, J. Lum. Elect. 41 (1891) 113-. 



surfaces. Robert, C. N. A. Mth. 10 (1891) 



180-. 

 Envelope, ellipsoidal. Lecornu, L. C. B. 122 



(1896) 218-. 

 , spherical. Maxwell, J. C. QJ. Mth. 8 



(1867) 325-. 

 Equations, new. Potter, E. [1869] (vm) 



Camb. Ph. S. P. 2 (1876) 145-. 

 Extensible surfaces, equilibrium and motion. 



Picciati, G. G. Mt. 30 (1892) 1-. 

 Membrane in equilibrium under normal forces, 



Lagrange's theorem. Ball, E. S. [18691 



Ph. Mg. 39 (1870) 107-. 

 Pressure sustained by fixed supports of flexible 



substances. Young, (Dr) T. Tilloch Ph. Mg. 



46 (1815) 139-. 

 Statics of surfaces, and motion of solid in fluid, 



connexion. Hotter, F. Crelle J. Mth. 121 



(1900) 300-. 

 System, part flexible extensible, part inflexible. 



Pagani, G. M. Brux. Ac. Sc. Mm. 8 (1834) 



14 pp. 

 Systems, flexible (curves, networks, surfaces). 



Pagani, G. M. Brux. Ac. Sc. Mm. 4 (1827) 



195-. 

 Tension. Besant, W. H. QJ. Mth. 8 (1867) 35-. 



116 



