| John Keill, Maupertuis - Earth - 1734 - 414 pages
...decreafe of gravity at the jEquator is r|.T parts of the whole gravity : but as I have before demongrated **the decreafe of gravity at the .(Equator. is to its increafe in any other Latitude, as the** fquare of the radius is to the fquare of the fine of the Latitude j now the Latitude of Paris being... | |
| Jacques Ozanam, Jean Etienne Montucla - Scientific recreations - 1803
...which the water impels the rudder will be nearly 60 degrees : we must therefore make this proportion, **as the square of radius is to the square of the sine of** 60 degrees, or as i is to 4 ; so is 2205 to 1653. The force therefore which a&s in. a direction perpendicular... | |
| Francis Nichols - Plane trigonometry - 1811 - 128 pages
...the other two sides) x the sine of | (the third side — the difference between the other two sides), **as the square of radius is to the square of the sine of** half the angle included by the first two sides. If the value of the cosine of C (82) be substituted... | |
| E. Polehamton - 1815
...which the water impels the rudder will be nearly 60 degrees : v/e must therefore make this proportion, **as the square of radius is to the square of the sine of** 60 degrees, or as one is to |-; so is 2205 to 1653. The force therefore which acts in a direction perpendicular... | |
| Edward Polehampton, John Mason Good - Natural history - 1818
...which the water impels the rudder will be nearly 60 degrees : we must therefore' make this proportion, **as the square of radius is to the square of the sine of** 6'0 degrees, or as one is to $ ; so is 2205 to 1653. The force therefore which acts in a direction... | |
| Miles Bland - Geometry - 1819 - 377 pages
...is to the rectangle contained by the excesses of half the perimeter above each of them respectively **as the square of radius is to the square of the sine of** half the angle contained by those sides. Let ABC be any triangle, BC its- base, AB the greater of the... | |
| Miles Bland - Geometry - 1819 - 377 pages
...is to the rectangle contained by the excesses of half the perimeter above each of them respectively **as the square of radius is to the square of the sine of** half the angle contained by those sides. Let AEC be any triangle, BC its base, AB the greater of the... | |
| Rev. John Allen - Mathematics - 1822 - 494 pages
...sines of the excesses of the half sum of AB, BC and AC above AC, and of the same half sum above BC, **as the square of radius, is to the square of the sine of** half the angle ACB (16. 5 Eu.) ; or, which is equal (20. 6 En.), in a duplicate ratio of radius to... | |
| Robert Walsh - 1829
...action is diminished by obliquity in a similar ratio, the centrifugal force at the equator is to that at **any other latitude, as the square of radius is to the square of the** cosine of the latitude, or the increase of gravity from the equator to the poles, is in the ratio of... | |
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