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The result reported by Charles Hutton (1778) suggested a density of 4.5 g/cm 3 (4 + 1 / 2 times the density of water), about 20% below the modern value. [16] This immediately led to estimates on the densities and masses of the Sun , Moon and planets , sent by Hutton to Jérôme Lalande for inclusion in his planetary tables.
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
Cavendish's figure of 5,448 ± 33 kg·m −3 was only 1.2% from the currently accepted value of 5,515 kg·m −3, and his result would not be significantly improved upon until 1895 by Charles Boys. [ c ] The care with which Cavendish conducted the experiment and the accuracy of his result has led his name to since be associated with it.
where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.
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Normalizing 4 π G to 1 (and therefore setting G = 1 / 4 π ): Gauss's law for gravity becomes Φ g = −M (rather than Φ g = −4 π M in Planck units). Eliminates 4 π G from the Poisson equation. Eliminates 4 π G in the gravitoelectromagnetic (GEM) equations, which hold in weak gravitational fields or locally flat spacetime.
(The Center Square) – Efforts to push back retirement of the F-15E Strike Eagles and save more than 500 jobs at a U.S. Air Force base in North Carolina could be ready for the president's ...