# 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} }

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…

## 13 Citations

### Archimedes and the elements: Proposal for a revised chronological ordering of the Archimedean corpus

- Computer Science
- 1978

The present reexamination of this question of Archimedean chronology will show how tenuous are the foundations of the orderings now in standard usage, and present a chronological order which differs from the standard accepted sequence in certain important respects.

### The Works of Archimedes: Translation and Commentary

- Art
- 2009

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 first…

### From Hesiod to Saussure, from Hippocrates to Jevons: An Introduction to the History of Scientific Thought between Iran and the Atlantic

- Economics
- 2017

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 the…

### Two Traces of Two-Step Eudoxan Proportion Theory in Aristotle: a Tale of Definitions in Aristotle, with a Moral

- Philosophy
- 2007

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 two…

### Naṣīr al-Dīn al-Ṭūsī’s revision of Theodosius’s Spherics

- Physics
- 2008

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,we…

## References

SHOWING 1-6 OF 6 REFERENCES

### The Science of Mechanics

- Mathematics
- 1907

The “ continuous param eter ” (often identified w ith time) ranges through the non-negative half-line [0, oo), thought of as a topological additive semigroup carrying an invariant (Lebesgue) measure.…

### A history of Greek mathematics

- Mathematics
- 1921

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, Euclid…