

Bibliography
for the Catenary
short
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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.
- A catenary
problem
Lynch, M. A. M.
Teaching Mathematics and Its Applications, 2001, vol. 20, no. 2,
pp. 56-65 , Ingenta.
- The brachistochrone problem
with frictional forces.
Giambò, Roberto; Giannoni, Fabio
ESAIM Control Optim. Calc. Var. 5 (2000), 187--206 (electronic),
Math. Sci. Net.
- Reexamining
the Catenary
Paul Cella
College Math Journal: Volume 30, Number 5, 1999, Pages:
391-393.
- Catenaria vera---the true
catenary. Exposition.
Denzler, Jochen; Hinz, Andreas M.
Math. 17 (1999), no. 2, 117--142, Math. Sci.
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- 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.
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Analysis of Cable Structures.
Wei, Peng; Bingnan, Sun; Jinchun, Tang
Applied mathematics and mechanics, 1999, vol. 20, no. 5, pp. 532 ,
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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.
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friction.
Lipp, Stephen C.
SIAM J. Control Optim. 35 (1997), no. 2, 562--584, Math. Sci.
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New Minimization Proof for the
Brachistochrone
Gary Lawlor
American Mathematical Monthly, Vol. 103, No. 3. (Mar., 1996), pp.
242-249, Jstor.
- A Note on the
Brachistochrone Problem
Jim Zeng
College Math Journal: Volume 27, Number 3, 1996, Pages:
206-208
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the Brachistochrone Problem
LaDawn Haws, Terry Kiser
American Mathematical Monthly, Vol. 102, No. 4. (Apr., 1995), pp.
328-336, Jstor.
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Catenary and the Method of Lagrange
K. Veselic
SIAM Review, Vol. 37, No. 2. (Jun., 1995), pp. 224-229,
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Tension.
Machine design, 1995, vol. 67, no. 12, pp. 98 ,
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and Newton around the brachistochrone problem.
de Icaza Herrera, Miguel
Rev. Mexicana Fís. 40 (1994), no. 3, 459--475, Math. Sci.
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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.
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brachistochrone problem.
van Dooren, René; Vlassenbroeck, Jacques
Z. Angew. Math. Phys. 31 (1980), no. 6, 785--790, Math. Sci.
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tautochrones, evolutes, and tessellations.
McKinley, John M.
Amer. J. Phys. 47 (1979), no. 1, 81--86, Math. Sci.
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material point with arbitrary initial velocity.
Atanackovi'c, T. M.
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Polygonal Arch Generated by Rolling a Polygon (in Classroom
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Duane W. DeTemple
American Mathematical Monthly, Vol. 82, No. 1. (Jan., 1975), pp.
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acceleration: a running track.
Drummond, J. E.; Downes, G. L.
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Elementary Solution of the Brachistochrone
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Donald C. Benson
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Circular Tractrix
W. G. Cady
American Mathematical Monthly, Vol. 72, No. 10. (Dec., 1965), pp.
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the Equations for a Flexible Suspension Cable (in Classroom
Notes)
Morris Morduchow
American Mathematical Monthly, Vol. 68, No. 8. (Oct., 1961), pp.
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Catenary and the Tractrix (in Classroom
Notes)
Robert C. Yates
American Mathematical Monthly, Vol. 66, No. 6. (Jun. - Jul.,
1959), pp. 500-505, Jstor.
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of a catenary
Geer, Elihu
Indust. Math. 7 1956 119--130, Math. Sci.
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Tractrix in Non-Euclidean Geometry
Fulton, Curtis M.
Math. Mag. 27, (1953). 79--84, Math. Sci.
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Note on the Catenary (in Questions and
Discussions)
H. M. Dadourian
American Mathematical Monthly, Vol. 31, No. 2. (Feb., 1924), pp.
85-86, Jstor.
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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.
- 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.
- Note
on the Catenary
W. W. Johnson
The Analyst, Vol. 6, No. 4. (Jul., 1879), pp. 119-120,
Jstor.
(c) John
H. Mathews 2003