History of the Sciences in Greco-Roman Antiquity |
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Contents
| 1 | |
| 9 | |
| 15 | |
| 22 | |
| 65 | |
| 92 | |
PRINCIPLES AND METHODS | 105 |
THE MATHEMATICAL SCIENCES | 113 |
ASTRONOMY | 161 |
MECHANICS AND Physics | 178 |
THE CHEMICAL AND NATURAL SCIENCES | 203 |
CONCLUSION | 216 |
BIBLIOGRAPHY | 229 |
LIST OF THE PRINCIPAL WORKS MENTIONED | 237 |
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Common terms and phrases
able according amongst ancient angle appears Archimedes Aristotle arithmetic astronomy bodies called cause century changes circle conception consequences considered construction contained definitions demonstration described direction discovered divided division earth edit Egyptians elements equal equilibrium established Euclid example existence explain fact figures fire force geometrical give given Greek hand hypothesis ideas important infinite infinity interest Italy knowledge known less light logical magnitudes manner mathematical matter means mechanics method mind moon motion move movement natural necessary observations obtained origin Paris period phenomena philosophical physical planets Plato position possible practical principles problem produced progress properties propositions Pythagoras Pythagorean question rational reality reason rectangle relation remains represented result scientific shows sides space sphere square stars straight line surface Tannery theorem theory tion triangle universe weight whole writings
Popular passages
Page 18 - Compared with the empirical and fragmentary knowledge which the peoples of the East had laboriously gathered together during long centuries, Greek science constitutes a veritable miracle. Here the human mind for the first time conceived of the possibility of establishing a limited number of principles, and of deducing from these a number of truths which are their rigorous consequence.
Page 35 - He [Pythagoras] and his school came to the conclusion that number and its properties constitute the basis of all things. Hence, number is not a pure abstraction, it is a concrete reality, although our senses cannot directly apprehend it. Numbers have each spatial, physical and even spiritual properties, clearly defined. By their combinations they give birth to the beings and the things we see.
Page 200 - The volume generated by the revolution of a surface, bounded by a curved line, about an axis is equal to the product of the area of the surface and the circumference or arc of circumference described by its centre of gravity.
Page 28 - ... living creatures were born from the moist element when it had been evaporated by the sun; man, in the beginning resembled another animal, to wit, a fish.
Page 195 - The path followed by Archimedes in mechanics, though an admirable method of demonstration, is not a method of investigation. The certainty and lucidity of his principles are largely due to the fact that they are gathered, so to speak, from the surface of phenomena and not dug out from the depths.' This excessive admiration for the purely logical in science must, if it is to be understood, be connected with the whole character of the society in which it grew. The reverse of the medal was contempt...
Page 237 - Essai sur la notion de théorie physique de Platon à Galilée. Hermann, Paris 1908.
Page 176 - ... scientific speculation enjoyed under the scholastic dominance. The suppositions which astronomers have imagined are not to be accounted necessarily true. Although these hypotheses seem to save the appearances, we must not say that they are thereby proved to be facts, because perhaps it would be possible to explain the apparent movements of the stars by some other method which men have not yet excogitated.1* Moreover, that broad speculative freedom did not die with Aquinas. At Paris in the fourteenth...
Page 101 - ... he raised the level of medicine at an epoch when the schools in repute proclaimed, in the name of empiricism, the futility of theoretical preparatory studies for this science, and when it was 1 For the life and writings of Galen, see Croiset, Histoire de la literature grecque, V, p.
Page 194 - And the same of all symmetrical figures. 15. The centre of gravity of a triangle is the point of intersection of lines drawn from the three angles to the middles of the sides respectively opposite : it divides each of those lines into two portions in the ratio of 2 to 1. 16. In a Trapezium. Divide the figure into two triangles by the diagonal A...
Page 84 - Eudoxus, he attempts to determine the magnitude of the sun and moon and their distance from the earth. The results obtained are satisfactory for the moon but not for the sun.
Bibliographic information
| Title | History of the Sciences in Greco-Roman Antiquity Biblo & Tannen publications Volume 5 of Biblo and Tannen's Graeco life and times series |
| Author | Arnold Reymond |
| Publisher | Biblo & Tannen Publishers, 1963 |
| ISBN | 0819601284, 9780819601285 |
| Length | 245 pages |
| Export Citation | BiBTeX EndNote RefMan |