... Aristarchus to the sphere of the fixed stars would contain a number of grains of sand less than 10,000,000 units of the eighth order of numbers [or 10M+? = 10°]. For, by hypothesis, (earth) : (' universe ') = (' universe ') : (sphere of fixed stars).... The Works of Archimedes - Page 232by Archimedes - 1897 - 326 pagesFull view - About this book
| Kenneth John Atchity, Rosemary McKenna - Literary Criticism - 1996 - 442 pages
...("universe") = ("universe") : (sphere of fixed stars). And (diameter of "universe") < 10,000 (diam. **of earth); whence (diam. of sphere of fixed stars)...of "universe"). Therefore (sphere of fixed stars)** <(10,000)'.("universe"). It follows that the number of grains of sand which would be contained in a... | |
| Archimedes, Sir Thomas Little Heath - 1900 - 326 pages
...it by 100 each time. Thus, remembering that the sphere is thereby multiplied by 100* or 1,000,000, **the number of grains of sand which would be contained in a sphere** with each successive diameter may be arrived at as follows. Diameter of sphere. (1) 100 finger-breadths... | |
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