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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 ...
A number of units of measurement were used in the Philippines to measure various quantities including mass, area, and capacity. The metric system has been compulsory in the country since 1860, during the late Spanish colonial period. [1]
The kilogram, symbol kg, is the SI unit of mass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.626 070 15 × 10 −34 when expressed in the unit J⋅s, which is equal to kg⋅m 2 ⋅s −1, where the metre and the second are defined in terms of c and Δν Cs. —
[1]: 143 For example, g/cm 3 is an SI unit of density, where cm 3 is to be interpreted as (cm) 3. Prefixes are added to unit names to produce multiples and submultiples of the original unit. All of these are integer powers of ten, and above a hundred or below a hundredth all are integer powers of a thousand.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
A centimetre of water [1] is a unit of pressure. It may be defined as the pressure exerted by a column of water of 1 cm in height at 4 °C (temperature of maximum density) at the standard acceleration of gravity, so that 1 cmH 2 O (4°C) = 999.9720 kg/m 3 × 9.80665 m/s 2 × 1 cm = 98.063754138 Pa ≈ 98.0638 Pa, but conventionally a nominal maximum water density of 1000 kg/m 3 is used, giving ...
1 ⁄ 10 1 / 33 m: 3.030 cm ... 3 / 80,000 kg: 37.5 ... Picul; Same as Japanese Tan: Note the tael and catty are widely used. See also
1 kop (cup) = 1 litre (1 Australian cup = 250 ml) 1 maatje (small measure) = 100 millilitres 1 vingerhoed (thimble) = 10 millilitres. Weight. 1 pond (pound) = 1 kilogram (1 pound avoirdupois = 0.454 kg) (though in modern colloquial speech, 500 g is also known as a pond. 1 ons (ounce) = 100 grams (1 ounce avoirdupois = 28.35 g) 1 lood (lead ...