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About the cover: The cycloid and Jean Bernoulli
Author:
Gerald L. Alexanderson
Journal:
Bull. Amer. Math. Soc. 48 (2011), 525-530
Posted:
June 28, 2011
MathSciNet review:
2823022
Full-text PDF
References |
Additional Information
- 1.
Tom
M. Apostol and Mamikon
A. Mnatsakanian, New insight into cycloidal areas, Amer. Math.
Monthly 116 (2009), no. 7, 598–611. MR 2549377
(2010h:51019), http://dx.doi.org/10.4169/193009709X458573
- 2.
Johannis
Bernoulli, Opera Omnia, tam antea sparsim edita, quam hactenus
inedita. I–IV., Edited by J. E. Hofmann, Georg Olms
Verlagsbuchhandlung, Hildesheim, 1968 (Latin). MR 0256841
(41 #1497)
- 3.
Carl
B. Boyer, A history of mathematics, John Wiley & Sons
Inc., New York, 1968. MR 0234791
(38 #3105)
- 4.
Euler, Leonhard, Constructio linearum isochronarum in medio quocunque resistente, Acta Eruditorum, 1726, pp. 361-363.
- 5.
Pascal, Blaise, Œuvres de Blaise Pascal, Chez Detune, The Hague, 1779, volume 5, pp. 135-225.
- 6.
E.
A. Whitman, Some historical notes on the cycloid, Amer. Math.
Monthly 50 (1943), 309–315. MR 0007720
(4,181p)
- 1.
- Apostol, Tom M., and Mamikon A. Mnatsakanian, New insight into cycloidal areas, Amer. Math. Monthly 116 (2009), 598-611. MR 2549377 (2010h:51019)
- 2.
- Bernoulli, Johann, Problema novum, Acta Eruditorum, June 1696, p. 264; Opera Omnia, Lausanne and Geneva, Bousquet, 1742, volume 1, p. 161, Table VIII, No. XXX, Figure 4. MR 0256841 (41:1791)
- 3.
- Boyer, Carl B. (revised by Uta C. Merzbach), A History of Mathematics,
 nd edition, John Wiley & Sons, New York, 1989, pp. 366, 374-379, 383. MR 0234791 (38:3105)
- 4.
- Euler, Leonhard, Constructio linearum isochronarum in medio quocunque resistente, Acta Eruditorum, 1726, pp. 361-363.
- 5.
- Pascal, Blaise, Œuvres de Blaise Pascal, Chez Detune, The Hague, 1779, volume 5, pp. 135-225.
- 6.
- Whitman, E. A., Some historical notes on the cycloid, Amer. Math. Monthly 50 (1943), 309-315. MR 0007720 (4:181p)
Additional Information
Gerald L. Alexanderson
Affiliation:
Department of Mathematics and Computer Science, Santa Clara University, 500 El Camino Real, Santa Clara, California 95053-0290
Email:
galexand@math.scu.edu
DOI:
http://dx.doi.org/10.1090/S0273-0979-2011-01353-2
PII:
S 0273-0979(2011)01353-2
Posted:
June 28, 2011
Article copyright:
© Copyright 2011 American Mathematical Society
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