✦ LIBER ✦
Rational Unfoldings of ±Xkand their relation with geometric equilibrium theory
✍ Scribed by Willem Kuyk; Lieven Smits
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 456 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, two theorems determine the locus B ('buoyancy locus') of the centre of gravity of the displaced water of a ship with any number of 2n sides, as a function of the arbitrary continuous curves that make up those sides, and that generalize the classical wall-sided case (n = 1). Although the theorems may have interest from the pure geometrical point of view, they have been obtained with a view to simulate processes in biology that, in analogy to the self-righting of ships, are self-regulating, such as the neural control of body heat and the servo-control of the heart rate.