The Works of John Playfair ...: With a Memoir of the Author ... |
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Page 6
They are among the most beautiful , as well as most general propositions known in the whole compass of geometry , and are perhaps only equalled by the remark1 a able Locus to the circle in the second book 6 BIOGRAPHICAL ACCOUNT.
They are among the most beautiful , as well as most general propositions known in the whole compass of geometry , and are perhaps only equalled by the remark1 a able Locus to the circle in the second book 6 BIOGRAPHICAL ACCOUNT.
Page 8
... known only to his friends ; and the eyes of the public were • Observations on Light and Colours , Phys . and Lit. Essays , Vol . II . Art . 4 . naturally turned on Mr Stirling , who then resided at 8 BIOGRAPHICAL ACCOUNT.
... known only to his friends ; and the eyes of the public were • Observations on Light and Colours , Phys . and Lit. Essays , Vol . II . Art . 4 . naturally turned on Mr Stirling , who then resided at 8 BIOGRAPHICAL ACCOUNT.
Page 9
naturally turned on Mr Stirling , who then resided at Leadhills , and who was well known in the mathematical world . He , however , declined appearing as a candidate for the vacant chair ; and several others were named , among whom was ...
naturally turned on Mr Stirling , who then resided at Leadhills , and who was well known in the mathematical world . He , however , declined appearing as a candidate for the vacant chair ; and several others were named , among whom was ...
Page 12
The former is well known to be the most difficult subject to which mathematics have been applied . Though begun by Sir Isaac Newton , and explained , as to its principles , with singular success ; yet , as to the full detail and ...
The former is well known to be the most difficult subject to which mathematics have been applied . Though begun by Sir Isaac Newton , and explained , as to its principles , with singular success ; yet , as to the full detail and ...
Page 15
It is well known , that the orbit of the moon is not immoveable , but that , in consequence of the disturbing force of the sun , the longer axis of that orbit has an angular a motion , by which it goes back about three degrees OF DR ...
It is well known , that the orbit of the moon is not immoveable , but that , in consequence of the disturbing force of the sun , the longer axis of that orbit has an angular a motion , by which it goes back about three degrees OF DR ...
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Popular passages
Page 81 - The mind seemed to grow giddy by looking so far into the abyss of time ; and while we listened with, earnestness and admiration to the philosopher who was now unfolding to us the order and series of these wonderful events, we became sensible how much farther reason may sometimes go than imagination can venture to follow.
Page 335 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 309 - ... that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles.
Page 125 - The boast of heraldry, the pomp of power, And all that beauty, all that wealth e'er gave, Await alike the inevitable hour — The paths of glory lead but to the grave.
Page 325 - In one of these, where the dictates of Aristotle are still listened to as infallible decrees, and where the infancy of science is mistaken for its maturity, the mathematical sciences have never flourished ; and the scholar has no means of advancing beyond the mere elements of geometry.
Page 522 - An account of experiments for determining the length of the pendulum vibrating seconds in the latitude of London.
Page 55 - It is unreasonable, indeed, to suppose that such marks should any where exist. The Author of nature has not given laws to the universe, which, like the institutions of men, carry in themselves the elements of their own destruction ; he has not permitted in his works any symptom of infancy or of old age, or any sign by which we may estimate either their future or their past duration.
Page 56 - The Author of nature has not given laws to the universe, which, like the institutions of men, carry in themselves the elements of their own destruction. He has not permitted, in his works, any symptom of infancy or of old age, or any sign by which we may estimate either their future or their past duration. He may put an end, as he no doubt gave a beginning, to the present system, at some determinate period; but we may safely conclude, that this great catastrophe will not be brought about by any of...
Page 301 - Between the laws by which the tides diminish from their maximum at the full and change, to their minimum at the first and third quarters, and by which they increase again from the minimum to the maximum, as deduced from the observations at Brest, and as determined by the theory of gravitation, there is an exact coincidence. 2. According to theory, the height of the tides...
Page 439 - ... most general rule that we are enabled to give admits of many exceptions. The violation of the order of events among the phenomena of the former class, the suspension of gravity, for example, the deviation of any of the stars from their places or their courses in the heavens, &c., — these are facts of which the improbability is so strong that no testimony can prevail against it.
Bibliographic information
| Title | The Works of John Playfair ...: With a Memoir of the Author ... Volume 4 of The Works of John Playfair ...: With a Memoir of the Author, James George Playfair |
| Author | John Playfair |
| Publisher | A. Constable & Company, 1822 |
| Original from | the New York Public Library |
| Digitized | 2 May 2006 |
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