1. A Generalized Catenary Curve and Simplifying Construction Tasks for Incoming Wires at Transformer Stations
   Sugimoto, S.; Takagi, S.; Fujita, T.; Hata, Y.
   IEEE Pes Transmission and Distribution Conference and Exposition, 2001, vol. 1, pp. 373-378 , Ingenta.  
2. An investigation into the aerodynamic characteristics of catenary contact wires in a cross-wind
   Stickland, M. T.; Scanlon, T. J.
   Proceedings- Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit, 2001, vol. 215, no. 4, pp. 311-318 , Ingenta.  
3. Dynamics in the Touchdown Region of Catenary Moorings
   Gobat, J. I.; Grosenbaugh, M. A.
   International Journal of Offshore and Polar Engineering, 2001, vol. 11, no. 4, pp. 273-281 , Ingenta.  
4. A catenary problem  
   Lynch, M. A. M.
   Teaching Mathematics and Its Applications, 2001, vol. 20, no. 2, pp. 56-65 , Ingenta.  
5. A simple model for heave-induced dynamic tension in catenary moorings
   Gobat, J. I.; Grosenbaugh, M. A.
   Applied Ocean Research, 2001, vol. 23, no. ER3, pp. 159-174 , Ingenta.  
6. Pantograph and catenary dynamics: a benchmark problem and its numerical solution   
   Arnold, M.; Simeon, B.   
   Appl. Numer. Math. 34 (2000), no. 4, 345--362, Math. Sci. Net.  
7. The brachistochrone problem and modern control theory.
   Sussmann, Héctor J.; Willems, Jan C.
   Contemporary trends in nonlinear geometric control theory and its applications (México City, 2000), 113--166, World Sci. Publishing, River Edge, NJ, 2002, Math. Sci. Net.  
8. The brachistochrone problem with frictional forces.
   Giambò, Roberto; Giannoni, Fabio
   ESAIM Control Optim. Calc. Var. 5 (2000), 187--206 (electronic), Math. Sci. Net.  
9. The Elastic Catenary as a Displacement-Method Element
   Ai, M.; Ohsumi, Y.
   Structural Engineering Earthquake Engineering, 2000, vol. 17, no. 2, pp. 241s-246s , Ingenta.  
10. The number of lattice points above the catenary   
    Kuba, G.
    Acta Math. Hungar. 87 (2000), no. 1-2, 173--178, Math. Sci. Net.  
11. Reexamining the Catenary   
    Paul Cella  
    College Math Journal: Volume 30, Number 5, 1999, Pages: 391-393.  
12. Catenaria vera---the true catenary. Exposition.  
    Denzler, Jochen; Hinz, Andreas M.
    Math. 17 (1999), no. 2, 117--142, Math. Sci. Net.  
13. Johann Bernoulli's brachistochrone solution using Fermat's principle of least time.
    Erlichson, Herman
    European J. Phys. 20 (1999), no. 5, 299--304, Math. Sci. Net.  
14. Isochrones and brachistochrones.
    Tee, Garry J.
    Neural Parallel Sci. Comput. 7 (1999), no. 3, 311--341, Math. Sci. Net.  
15. Hamilton-Jacobi results for the brachistochrone.
    Anderson, N.; Arthurs, A. M.
    European J. Phys. 20 (1999), no. 2, 101--104, Math. Sci. Net.  
16. Inequalities for brachistochrone.
    Ramm, A. G.
    Math. Inequal. Appl. 2 (1999), no. 1, 135--140, Math. Sci. Net.  
17. A Catenary Element for the Analysis of Cable Structures.
    Wei, Peng; Bingnan, Sun; Jinchun, Tang
    Applied mathematics and mechanics, 1999, vol. 20, no. 5, pp. 532 , Ingenta.  
18. Brachystochronen als zeitkürzeste Fahrspuren von Bobschlitten. (German)
    [Brachistochrones as time-shortest tracks of bobsleds]
    Maisser, P.
    ZAMM Z. Angew. Math. Mech. 78 (1998), no. 5, 311--319, Math. Sci. Net.  
19. On the analytical solution of the brachistochrone problem in a non-conservative field.
    Vratanar, B.; Saje, M.
    Internat. J. Non-Linear Mech. 33 (1998), no. 3, 489--505, Math. Sci. Net.  
20. Folding pathways as brachistochrones.
    Fernández, Ariel; Niel, Blanca
    Proceedings of the Fourth "Dr. Antonio A. R. Monteiro" Congress on Mathematics (Spanish) (Bahía Blanca, 1997), 179--186, Univ. Nac. del Sur, Bahía Blanca, 1997, Math. Sci. Net.  
21. An approach to the relativistic brachistochrone problem by sub-Riemannian geometry.
    Giannoni, Fabio; Piccione, Paolo; Verderesi, José A.
    J. Math. Phys. 38 (1997), no. 12, 6367--6381, Math. Sci. Net.  
22. Brachistochrone with Coulomb friction.
    Lipp, Stephen C.
    SIAM J. Control Optim. 35 (1997), no. 2, 562--584, Math. Sci. Net.  
23. A New Minimization Proof for the Brachistochrone  
    Gary Lawlor  
    American Mathematical Monthly, Vol. 103, No. 3. (Mar., 1996), pp. 242-249, Jstor.  
24. A Note on the Brachistochrone Problem  
    Jim Zeng
    College Math Journal: Volume 27, Number 3, 1996, Pages: 206-208
25. The brachistochrone problem: a problem of elementary differential geometry.
    Dombrowski, Peter
    Geometry and topology of submanifolds, VIII (Brussels, 1995/Nordfjordeid, 1995), 148--167, World Sci. Publishing, River Edge, NJ, 1996, Math. Sci. Net.  
26. Exploring the Brachistochrone Problem  
    LaDawn Haws, Terry Kiser  
    American Mathematical Monthly, Vol. 102, No. 4. (Apr., 1995), pp. 328-336, Jstor.  
27. Finite Catenary and the Method of Lagrange  
    K. Veselic  
    SIAM Review, Vol. 37, No. 2. (Jun., 1995), pp. 224-229, Jstor.  
28. Optimizing Catenary Length and Tension.
    Machine design, 1995, vol. 67, no. 12, pp. 98 , Ingenta.  
29. Catenary deformations of inextensible networks   
    Pipkin, A. C.  
    J. Engrg. Math. 28 (1994), no. 5, 401--406, Math. Sci. Net.  
30. Evolutionary existence proofs for the pendant drop and n-dimensional catenary problems   
    Stone, Andrew  
    Pacific J. Math. 164 (1994), no. 1, 147--178, Math. Sci. Net.  
31. A pseudospectral collocation method for the brachistochrone problem.
    Razzaghi, Mohsen; Elnagar, Gamal N.
    Math. Comput. Simulation 36 (1994), no. 3, 241--246, Math. Sci. Net.  
32. Galileo, Bernoulli, Leibniz and Newton around the brachistochrone problem.
    de Icaza Herrera, Miguel
    Rev. Mexicana Fís. 40 (1994), no. 3, 459--475, Math. Sci. Net.  
33. Classical differential geometry solution of the brachistochrone tunnel problem.
    Stalford, H. L.; Garrett, F. E., Jr.
    J. Optim. Theory Appl. 80 (1994), no. 2, 227--260, Math. Sci. Net.  
34. Little known aspects of catenary calculation.
    Wire rope news & sling technology, 1992, vol. 13, no. 6, pp. 34 , Ingenta.  
35. The brachistochrone problem in a stationary space-time.
    Perlick, V.
    J. Math. Phys. 32 (1991), no. 11, 3148--3157, Math. Sci. Net.  
36. The cardioid and a variation of the brachistochrone problem.
    Hoskins, J. A.; Hoskins, W. D.; Stanton, R. G.
    Utilitas Math. 40 (1991), 65--70, Math. Sci. Net.  
37. Equilibrium state of an elastic catenary.
    Brepta, R.
    Acta technica CSAV, 1991, vol. 36, no. 3, pp. 316 , Ingenta.  
38. The brachistochrone in almost flat space.
    Kamath, S. G.
    J. Math. Phys. 29 (1988), no. 10, 2268--2272, Math. Sci. Net.  
39. Brachistochrone problem in nonuniform gravity.
    Singh, Bani; Kumar, Rajive
    Indian J. Pure Appl. Math. 19 (1988), no. 6, 575--585, Math. Sci. Net.  
40. The general unrestrained brachistochrone.
    Stork, David G.; Yang, Ju-xing
    Amer. J. Phys. 56 (1988), no. 1, 22--26, Math. Sci. Net.  
41. Le problème de la brachystochrone à travers les relations de Jean I Bernoulli avec L'Hôpital et Varignon. (French)
    [The brachistochrone problem in the relationship of Johann I Bernoulli with L'Hopital and Varignon]
    Peiffer, Jeanne
    Der Ausbau des Calculus durch Leibniz und die Brüder Bernoulli (Basel, 1987), 59--81, Studia Leibnitiana Sonderheft, 17, Steiner, Wiesbaden, 1989, Math. Sci. Net.  
42. Bernoulli's method for relativistic brachistochrones.
    Farina, Carlos
    J. Phys. A 20 (1987), no. 2, L57--L59, Math. Sci. Net.  
43. Relativistic brachistochrone.
    Goldstein, Harris F.; Bender, Carl M.
    J. Math. Phys. 27 (1986), no. 2, 507--511, Math. Sci. Net.  
44. Bemerkungen zur Brachistochrone. (German) [Remarks on the brachistochrone]
    Kosmol, Peter
    Abh. Math. Sem. Univ. Hamburg 54 (1984), 91--94, Math. Sci. Net.  
45. A Brief History and Survey of the Catenary Chain Conjectures  
    L. J. Ratliff, Jr.
    American Mathematical Monthly, Vol. 88, No. 3. (Mar., 1981), pp. 169-178, Jstor.  
46. A new look at the brachistochrone problem.
    van Dooren, René; Vlassenbroeck, Jacques
    Z. Angew. Math. Phys. 31 (1980), no. 6, 785--790, Math. Sci. Net.  
47. The two-dimensional analogue of the catenary.
    Böhme, Reinhold; Hildebrandt, Stefan; Tausch, Engelbert
    Pacific J. Math. 88 (1980), no. 2, 247--278, Math. Sci. Net.  
48. The oscillation brachistochrone problem. (Russian)
    Gershman, M. D.; Nagaev, R. F.
    Mech. Solids 14 (1979), no. 2, 10--17, Math. Sci. Net.  
49. Brachistochrones, tautochrones, evolutes, and tessellations.
    McKinley, John M.
    Amer. J. Phys. 47 (1979), no. 1, 81--86, Math. Sci. Net.  
50. The brachistochrone for a material point with arbitrary initial velocity.
    Atanackovi'c, T. M.
    Amer. J. Phys. 46 (1978), no. 12, 1274--1275, Math. Sci. Net.  
51. A note on the classical brachistochrone.
    Djukic, Dj. S.; Atanackovi'c, T. M.
    Z. Angew. Math. Phys 27 (1976), no. 5, 677--681, Math. Sci. Net.  
52. A Polygonal Arch Generated by Rolling a Polygon (in Classroom Notes)  
    Duane W. DeTemple  
    American Mathematical Monthly, Vol. 82, No. 1. (Jan., 1975), pp. 56-59, Jstor.  
53. Brachistochrone with Coulomb friction.
    Ashby, N.; Brittin, W. E.; Love, W. F.; Wyss, W.
    Amer. J. Phys. 43 (1975), no. 10, 902--906, Math. Sci. Net.  
54. The brachistochrone with acceleration: a running track.
    Drummond, J. E.; Downes, G. L.
    J. Optimization Theory Appl. 7 (1971), 444--449, Math. Sci. Net.  
55. A certain generalization of the brachistochrone problem. (Polish)
    Mazurkiewicz, Zbigniew
    Mech. Teoret. Stos. 9 (1971), 385--389, Math. Sci. Net.  
56. An Elementary Solution of the Brachistochrone Problem  
    Donald C. Benson  
    American Mathematical Monthly, Vol. 76, No. 8. (Oct., 1969), pp. 890-894, Jstor.  
57. Nonlinear differential equations and the terrestrial brachistochrone.
    deSpautz, Joseph F.; Lerman, Robert A.
    AIAA J. 7 1969 1173--1174, Math. Sci. Net.  
58. The brachistochrone of a point of variable mass with constant relative rates of losing and gaining particles. (Ukrainian)
    Ivanov, A. I.
    Dopovi di Akad. Nauk Ukraïn. RSR Ser. A 1968 1968 683--686, Math. Sci. Net.  
59. The Circular Tractrix  
    W. G. Cady  
    American Mathematical Monthly, Vol. 72, No. 10. (Dec., 1965), pp. 1065-1071, Jstor.  
60. On the Equations for a Flexible Suspension Cable (in Classroom Notes)  
    Morris Morduchow  
    American Mathematical Monthly, Vol. 68, No. 8. (Oct., 1961), pp. 781-783, Jstor.  
61. The Catenary and the Tractrix (in Classroom Notes)  
    Robert C. Yates
    American Mathematical Monthly, Vol. 66, No. 6. (Jun. - Jul., 1959), pp. 500-505, Jstor.  
62. Umkehrung des Problems der Brachistochrone. (Romanian)
    Aczel, Otto
    Lucrar. Sti. Inst. Ped. Timisoara. Mat.-Fiz. 1958 1958 207--210 (1959), Math. Sci. Net.  
63. On a brachistochrone in a field of constant force. (Russian)
    Turkovskii, V. A.
    Ukrain. Mat. Z. 10 1958 336--339, Math. Sci. Net.  
64. Simplified numerical solution of a catenary  
    Geer, Elihu  
    Indust. Math. 7 1956 119--130, Math. Sci. Net.  
65. Catenary and Tractrix in Non-Euclidean Geometry  
    Fulton, Curtis M.  
    Math. Mag. 27, (1953). 79--84, Math. Sci. Net.  
66. Cycloid as a tautochrone and brachistochrone. (Croatian)
    Jankovi'c, Z.
    Hrvatsko Prirodoslovno Drustvo. Glasnik Mat.-Fiz. Astr. Ser. II. 2, (1947). 49--72, Math. Sci. Net.  
67. The elastic catenary. (Czech)
    Hruska, Václav
    Rozpravy II. Trídy  Ceské Akad. 54, (1944). no. 10, 83 pp., Math. Sci. Net.  
68. On the catenary in the old Japanese mathematics. (Japanese)
    Katô, Heizaemon
    Tôhoku Math. J. 47, (1940). 279--293, Math. Sci. Net.  
69. Discussions: Note on the Catenary (in Questions and Discussions)  
    H. M. Dadourian  
    American Mathematical Monthly, Vol. 31, No. 2. (Feb., 1924), pp. 85-86, Jstor.  
70. On the Determination of a Catenary with Given Directrix and Passing Through Two Given Points  
    Harris F. MacNeish
    The Annals of Mathematics, 2nd Ser., Vol. 7, No. 2. (Jan., 1906), pp. 65-71, Jstor.  
71. Concerning The Tractrix of a Curve, with Planimetric Application  
    Derrick N. Lehmer  
    The Annals of Mathematics, 2nd Ser., Vol. 1, No. 1/4. (1899 - 1900), pp. 14-20, Jstor.  
72. Note on the Catenary  
    W. W. Johnson  
    The Analyst, Vol. 6, No. 4. (Jul., 1879), pp. 119-120, Jstor.  

(c) John H. Mathews 2003