Spurious theorems in Archimedes' equilibrium of planes: Book I

@article{Berggren1976SpuriousTI,
  title={Spurious theorems in Archimedes' equilibrium of planes: Book I},
  author={J. Lennart Berggren},
  journal={Archive for History of Exact Sciences},
  year={1976},
  volume={16},
  pages={87-103}
}
  • J. L. Berggren
  • Published 1976
  • Mathematics
  • Archive for History of Exact Sciences
Among the extant writings of Archimedes are two works on the centres of gravity of plane figures, namely those titled On the Equilibrium of Planes, Books I and II. In Book I Archimedes determines the centre of gravity of a triangle and a trapezoid, while in Book II he applies these results to find the centre of gravity of a segment of a parabola. In his edition of the Greek text, on which all recent translations and discussions have been based, J.L. Heiberg1 remarks that the format of these… Expand
Archimedes and the elements: Proposal for a revised chronological ordering of the Archimedean corpus
SummaryWith the rediscovery by J. L. Heiberg of the manuscript of Archimedes' Method and its publication by him in 1907, a suspicion held for centuries by mathematicians and mathematical historiansExpand
The Works of Archimedes: Translation and Commentary
Archimedes was the greatest scientist of antiquity and one of the greatest of all time. This book is Volume I of the first authoritative translation of his works into English. It is also the firstExpand
From Hesiod to Saussure, from Hippocrates to Jevons: An Introduction to the History of Scientific Thought between Iran and the Atlantic
claims with real quantified laws). In order to solve this problem, one has to introduce a notion of the “price of production”, for which it holds true that producers will continue to supply theExpand
Two Traces of Two-Step Eudoxan Proportion Theory in Aristotle: a Tale of Definitions in Aristotle, with a Moral
In a classic paper, Wilbur Knorr [1978] presents an account of a pre-Euclidean proportion theory which he attributes to Eudoxus. This theory is characterized by the fact that in a proof that twoExpand
History of Greek mathematics: A survey of recent research
Abstract This survey reviews research in four areas of the history of Greek mathematics: (1) methods in Greek mathematics (the axiomatic method, the method of analysis, and geometric algebra); (2)Expand
Naṣīr al-Dīn al-Ṭūsī’s revision of Theodosius’s Spherics
We examine the Arabic edition of Theodosius’sSphericscomposed by Naṣīr al-Dīn al-Ṭūsī.Through a comparison of this text with earlier Arabic and Greek versions and a study of his editorial remarks,weExpand
...
1
2
...

References

SHOWING 1-6 OF 6 REFERENCES
A history of Greek mathematics
A text which looks at the history of Greek mathematics - a subject on which the author established a special authority by his succession of works on Diophantus, Apolonius of Perga, Archimedes, EuclidExpand