The Works of John Playfair ...: With a Memoir of the Author ... |
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... Traité de Mécanique Céleste , 261 Review of Le Compte rendu par l'Institut de France , 333 Review of Lambton's Measurement of an Arch of the Meridian , 383 Review of Laplace , Essai Philosophique sur les Probabilités , 423 Review of ...
... Traité de Mécanique Céleste , 261 Review of Le Compte rendu par l'Institut de France , 333 Review of Lambton's Measurement of an Arch of the Meridian , 383 Review of Laplace , Essai Philosophique sur les Probabilités , 423 Review of ...
Page 149
difficult to determine its orbit with tolerable accuracy , from an arch which did not yet exceed an eighteenth part of the whole orbit . This was an inconvenience which time would remedy ; but impatience to arrive even at such an ...
difficult to determine its orbit with tolerable accuracy , from an arch which did not yet exceed an eighteenth part of the whole orbit . This was an inconvenience which time would remedy ; but impatience to arrive even at such an ...
Page 195
... that the distance between their parallels of latitude is 963954 feet , = 182.567 miles , which corresponds on the earth's surface to an arch of 2 ° 38 ' 26 " in the heavens , ( the difference of latitude , ) and therefore the length ...
... that the distance between their parallels of latitude is 963954 feet , = 182.567 miles , which corresponds on the earth's surface to an arch of 2 ° 38 ' 26 " in the heavens , ( the difference of latitude , ) and therefore the length ...
Page 198
It must be confessed , that the General has not calculated on this principle , and that he has not taken as a ' substitute for it , the reduction of the observed angles to the angles contained by the chords of the arches , ( the method ...
It must be confessed , that the General has not calculated on this principle , and that he has not taken as a ' substitute for it , the reduction of the observed angles to the angles contained by the chords of the arches , ( the method ...
Page 207
... a principle more accurate than General Roy , by reducing every angle measured with the theodolite to a plane passing through the three angular points of the triangle , and thus computing the chords instead of the arches themselves .
... a principle more accurate than General Roy , by reducing every angle measured with the theodolite to a plane passing through the three angular points of the triangle , and thus computing the chords instead of the arches themselves .
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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 |
| Export Citation | BiBTeX EndNote RefMan |