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On pursuit curves

Published online by Cambridge University Press:  17 February 2009

J. C. Barton  and
C. J. Eliezer
J. C. Barton
Affiliation:
North Carlton, VIC 3054, Australia.
C. J. Eliezer
Affiliation:
School of Mathematics, La Trobe University, Bundoora, VIC 3084, Australia.
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Recently, several papers [2–4, 6] have been published concerning a pursuit problem which was apparently first posed explicitly by Leonardo da Vinci and which may have been present in earlier thinking about kinematics and geometry. Falconry appears to go back, in Europe, to the days of Pliny, Aristotle and Martial, and, in Asia, to 2000 BC [5].

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 3 , January 2000 , pp. 358 - 371
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Boole, G. A., Treatise on differential equations (Cambridge, Macmillan and Co., 1859) p. 246.Google Scholar
[2]Colman, W. J. A., “A curve of pursuit”, Bulletin of the Institute of Mathematics and its Applications 27 (3) (1991) pp. 45–47.Google Scholar
[3]Eliezer, C.J. and Barton, J.C., “Pursuit curves”, Bulletin of the Institute of Mathematics and its Applications 28 (11, 12) (1992) pp. 182–184.Google Scholar
[4]Eliezer, C.J. and Barton, J.C., “Pursuit curves II”, Bulletin of the Institute of Mathematics and its Applications 31 (9, 10) (1995) pp. 139–141.Google Scholar
[5]Encyclopaedia Britannica, Ninth Edition, vol. IX, MDCCCLXXIX, p. 6.Google Scholar
[6]Guha, A. and Biswas, S.K., “On Leonardo da Vinci's cat and mouse problem”, Bulletin of the Institute of Mathematics and its Applications 30 (1, 2) (1994) pp. 12–15.Google Scholar