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" 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... "
The Works of John Playfair ...: With a Memoir of the Author ... - Page 301
by John Playfair - 1822
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The Edinburgh Review: Or Critical Journal, Volume 11

1808 - 532 pages
...of gravitation, there is an exact coincidence. 2. According to theory, the height of the tides, nt their maximum, near the equinoxes, is to their height...the square of the radius to the square of the cosine ot the declination of the sun at the solstice ; and this is found to agree nearly with observation....
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 542 pages
...rectangle under two sides, is to the rectangle under the semiperimeter and its excess above the base, as the square of the radius, to the square of the cosine of half the contained angle. In the triangle ABC, the perimeter being denoted by P, AB x BC : *P (iP—...
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Book IV. Of the theory of universal gravitation. Book V. Abridgment of the ...

Pierre Simon marquis de Laplace - 1809 - 406 pages
...solstitial quadratures exceed those of the equinoctial quadratures, in a greater ratio than that of radius to the square of the cosine of the declination of the Moon, about the equinoctial quadratures. All the observations confirm these theoretical results, and...
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Retrospect of Philosophical, Mechanical, Chemical, and ..., Volume 5

1810 - 606 pages
...position, is to the strength of the same beam in an horizontal position, to relist a vertical pressure, as the square of the radius to the square of the cosine of elevation. And any rectangular beam will support a greater weight when either of its diagonals is in...
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Outlines of Natural Philosophy: Being Heads of Lectures Delivered ..., Volume 1

John Playfair - 1812 - 344 pages
...support at its extremity, is greater than that which it would support if horizontal, in the ratio of the square of the radius to the square of the cosine of the inclination. That is, if W be the weight which a beam can support W in a horizontal position, is the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pages
...increased by the base of the triangle, and the other the sum of the same sides diminished by the base, as the square of the radius to the square of the cosine of half the angle included between the two sides of the triangle. Let ABC be a triangle, of which BC is...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 594 pages
...rectangle under two sides, is to the rectangle under the semiperimeter, and its excess above the base, as the square of the radius, to the square of the co-sine of half the contained angle. ln the triangle CBE,ibe. perimeter being denoted by P, CB X CE. ±P(±P—BE)...
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Works, with a memoir of the author, Volume 4

John Playfait - 1822 - 550 pages
...these circumstances, the height of the tides in different latitudes, in different situations of the sun and moon, — the difference between the consecutive...and this is found to agree nearly with observation. 3. The influence of the moon on the tides increases as the cube of her parallax ; and this agrees so...
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A Concise System of Mathematics ...

Alexander Ingram - 1830 - 458 pages
...the two sides AC, AB, is to the product of the perimeter, by the excess of the sides above the base, as the square of the radius to the square of the cosine of half the angle BAC, opposite to the base. Make AD = AB, and AE = AC, and join DB, CE, meeting in F,...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1831 - 656 pages
...ip 259,) that the central force under the equator is lo the central force in any proposed latitude, as the square of the radius to the square of • the cosine of the said latitude. Hence we shall have rr cos3 51° 30' = -0013492, the measure of the central force in...
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