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Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
1795: the gram (1 / 1000 of a kilogram) was provisionally defined as the mass of one cubic centimetre of water at the melting point of ice. [12] 1799: The Kilogramme des Archives was manufactured as a prototype. It had a mass equal to the mass of 1 dm 3 of water at the temperature of its maximum density, which is approximately 4 °C. [13]
The tonne (t) is an SI-compatible unit of mass equal to a megagram (Mg), or 10 3 kg. The unit is in common use for masses above about 10 3 kg and is often used with SI prefixes. For example, a gigagram ( Gg ) or 10 9 g is 10 3 tonnes, commonly called a kilotonne .
1 minor kè = 10 fēn: 15 fēn: 2 minutes 24 seconds: 15 minutes, 1 quarter kè was defined at 1 ⁄ 96, 1 ⁄ 108, or 1 ⁄ 120 day during the Liang dynasty, and established at 1 ⁄ 96 day after the Qing dynasty. 1 major kè = 60 fēn: 14 minutes 24 seconds diǎn: 點 (T) 点 (S) 100 fēn: 60 fēn: 24 minutes: 1 hour: shí [16] 時 (T) 时 (S ...
[citation needed] The kilogram-force is equal to the magnitude of the force exerted on one kilogram of mass in a 9.806 65 m/s 2 gravitational field (standard gravity, a conventional value approximating the average magnitude of gravity on Earth). [2] That is, it is the weight of a kilogram under standard gravity. One kilogram-force is defined as ...
The exact modern koku is calculated to be 180.39 litres, 100 times the capacity of a modern shō. [11] [d] This modern koku is essentially defined to be the same as the koku from the Edo period (1600–1868), [e] namely 100 times the shō equal to 64827 cubic bu in the traditional shakkanhō measuring system.
In particle physics and physical cosmology, the Planck scale is an energy scale around 1.22 × 10 28 eV (the Planck energy, corresponding to the energy equivalent of the Planck mass, 2.176 45 × 10 −8 kg) at which quantum effects of gravity become significant.
Sometimes hiro is used equal to 5 shaku [19] ( 50 / 33 m, ~1.5152 metres). The traditional units are still used for construction materials in Japan. For example, plywood is usually manufactured in 182 cm × 91 cm (about 72 in × 36 in ) sheets known in the trade as saburokuhan ( 3 × 6版 ) , or 3 × 6 shaku .