| 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.... | |
| 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—... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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)... | |
| 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... | |
| 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,... | |
| 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... | |
| |