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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 β.
v. t. e. Z-Library (abbreviated as z-lib, formerly BookFinder) is a shadow library project for file-sharing access to scholarly journal articles, academic texts and general-interest books. It began as a mirror of Library Genesis, but has expanded dramatically. [ 7][ 8]
The number 0 is the smallest nonnegative integer, and the largest nonpositive integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, [ 70][ 71] but it is an integer, and hence a rational number and a real number. [ 72]
A block quotation (also known as a long quotation or extract) is a quotation in a written document that is set off from the main text as a paragraph, or block of text, and typically distinguished visually using indentation and a different typeface or smaller size font. This is in contrast to setting it off with quotation marks in a run-in quote ...
A motor–generator (an M–G set) is a device for converting electrical power to another form. Motor–generator sets are used to convert frequency, voltage, or phase of power. They may also be used to isolate electrical loads from the electrical power supply line. Large motor–generators were widely used to convert industrial amounts of ...
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