## The Works of John Playfair ...: With a Memoir of the Author ...A. Constable & Company, 1822 |

### From inside the book

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**calculation**, ( the method of which he does not explain , ) which assigns 8 " for the parallax of the sun . He made use of the motion of the nodes , but Dr Stewart considered the motion of the apogee , or of the longer axis of the ... Page 197

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**calculation**, yet he derives no benefit from it in many of the cases where it is of the greatest importance . These are when two angles only of a triangle have been observed , and it is re- quired to find the third angle ; or , again ... Page 198

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**calculations**are deficient in accuracy , at least in that extreme accuracy , which the cor- rectness of the observations themselves entitles us to expect . His method is sufficiently correct for any of the older measurements , -for ... Page 199

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**calculating**must necessarily be pursued ; as the calculus should ever be so institut- ed as to preserve to the conclusions all the accuracy possessed by the data themselves . No portion of this , however small , should be suffered to ... Page 203

... its length deduced from this last by tri- gonometrical

... its length deduced from this last by tri- gonometrical

**calculation**, it did not differ by more than an inch from the actual measurement as here set down . This singular coincidence was a suffi- cient TRIGONOMETRICAL SURVEY . 203.### Common terms and phrases

accuracy accurate afford ancient angles appear arch ascertained astronomical Board of Longitude bodies calculation cause circumstances computation considerable considered deduced degree Delambre determined discoveries distance Dr Black Dr Hutton Dr Simson Dr Stewart Dunkirk earth Edinburgh effect employed England equal equator error experiments extremely fathoms force France French geometer geometry give given gravity heat inequalities instrument investigation irregularities Jupiter known Laplace latitude length less longitude mathematical mathematicians matter means measured ment mentioned meridian method mixed mathematics moon moon's motion mountain Mudge nature nearly never Newton object observations orbit pendulum perpendicular philosophers planets Porisms principle probably problem produced Punnae quantity remark repeating circle revolution Robison Royal schistus seems side spherical excess stations supposed surface theodolite theorem theory thing tion toises trigono trigonometrical survey truth University of Edinburgh vibrations whole zenith

### 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.