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Nulla dies sine linea. Nulla dies sine linea is a Latin phrase meaning "no day without a line". The idea was originated by Pliny the Elder ( Natural History, XXXV, 84), [1] where the idea applies to the Greek painter Apelles, who did not go a day without drawing at least one line. The phrase itself is attested for the first time in the ...
In law, an act of neglect. In general, guilt, sin, or a fault. See also mea culpa. cum gladiis et fustibus: with swords and clubs: From the Bible. Occurs in Matthew 26:47 and Luke 22:52. cum gladio et sale: with sword and salt: Motto of a well-paid soldier. See salary. cum grano salis: with a grain of salt: Not to be taken too seriously or as ...
This page lists English translations of notable Latin phrases, such as veni vidi vici and et cetera. Some of the phrases are themselves translations of Greek phrases, as Greek rhetoric and literature reached its peak centuries before the rise of ancient Rome . This list covers the letter N. See List of Latin phrases for the main list.
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.
The trigonometric function are periodic functions, and their primitive period is 2π for the sine and the cosine, and π for the tangent, which is increasing in each open interval (π/2 + kπ, π/2 + (k + 1)π). At each end point of these intervals, the tangent function has a vertical asymptote .
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Uses and variations. Despite having layout and uses similar to those of whitespace, it differs in contextual behavior.. Non-breaking behavior . Text-processing software typically assumes that an automatic line break may be inserted anywhere a space character occurs; a non-breaking space prevents this from happening (provided the software recognizes the character).
Sine and cosine are written using functional notation with the abbreviations sin and cos. Often, if the argument is simple enough, the function value will be written without parentheses, as sin θ rather than as sin(θ). Each of sine and cosine is a function of an angle, which is usually expressed in terms of radians or degrees. Except where ...