# sine meaning latin

A long net having floats attached at the top and sinkers (weights) at the bottom, used in shallow water for catching fish.quotations ▼ 1.1. Some still refer the si- in sine to this root, others refer it to Proto-Indo-European *só (“this”), whence si (“if”). Contextual translation of "sine pecunia" into English. f Compare with nisi. n ) π {\displaystyle {\frac {\pi }{2}}} b z {\displaystyle \pi } tan(θ) is then defined as Without day; without assigning a day for a further meeting or hearing. 2048 a = π {\displaystyle {\frac {\pi }{2048}}} Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is sin(0) = 0. The sine function can also be represented as a generalized continued fraction: The continued fraction representation can be derived from Euler's continued fraction formula and expresses the real number values, both rational and irrational, of the sine function. The word sine defined here is the mathematical one, derived from the Latin "sinus." More generally, the definition of sine (and other trigonometric functions) can be extended to any real value in terms of the length of a certain line segment in a unit circle.  Muhammad ibn Jābir al-Harrānī al-Battānī (853–929) discovered the reciprocal functions of secant and cosecant, and produced the first table of cosecants for each degree from 1° to 90°.. =  Leonhard Euler's Introductio in analysin infinitorum (1748) was mostly responsible for establishing the analytic treatment of trigonometric functions in Europe, also defining them as infinite series and presenting "Euler's formula", as well as the near-modern abbreviations sin., cos., tang., cot., sec., and cosec.. More meanings for sine. = ) 2 involves inaccuracies in representing π And as sometimes nesi was also written, with -ne being nē (“not”), sine might literally mean "not this". See more. 2 years ago. . Sine definition: a trigonometric function that in a right-angled triangle is the ratio of the length of... | Meaning, pronunciation, translations and examples (anatomy) A pouch or cavity in any organ or tissue, especially the paranasal sinus. | Complex sine functions are also available within the cmath module, e.g.  The word "sine" (Latin "sinus") comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.. absque, extra, citra, sed, set. z 2. i is the imaginary unit. 2. CPython's math functions call the C math library, and use a double-precision floating-point format. sine (n.) trigonometric function, 1590s (in Thomas Fale's "Horologiographia, the Art of Dialling"), from Latin sinus "fold in a garment, bend, curve, bosom" (see sinus).Used mid-12c. The Opus palatinum de triangulis of Georg Joachim Rheticus, a student of Copernicus, was probably the first in Europe to define trigonometric functions directly in terms of right triangles instead of circles, with tables for all six trigonometric functions; this work was finished by Rheticus' student Valentin Otho in 1596. This Latin word has now become our English “sine.” For cosine : The prefix "co-" (in "cosine", "cotangent", "cosecant") is found in Edmund Gunter 's Canon triangulorum (1620), which defines the cosinus as an abbreviation for the sinus complementi (sine of the complementary angle) and proceeds to define the cotangens similarly. The arc length of the sine curve from 0 to x is the above number divided by It is possible to express any trigonometric function in terms of any other (up to a plus or minus sign, or using the sign function). {\displaystyle \Gamma } A similar series is Gregory's series for arctan, which is obtained by omitting the factorials in the denominator. In mathematics, the sine is a trigonometric function of an angle. It follows that the arcsine function is multivalued: arcsin(0) = 0, but also arcsin(0) = π, arcsin(0) = 2π, etc. {\textstyle \int _{a}^{b}\! without a name More meanings for sine nomine. Latin, a condition without which not; a necessary condition. appears to depend on the choice of right triangle containing an angle of measure α. Alle weiteren Informationen findest du im Haupteintrag sin. Sine die definition is - without any future date being designated (as for resumption) : indefinitely. The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse. {\displaystyle {\frac {\pi }{2}}} ) (botany)A notch or depression between two lobes or teeth in the margin of an organ. The arc length for a full period is opposite Cognate with Old Norse speni (“teat”), English spean (“teat (of a cow)”). ⁡ ) 2 {\displaystyle \cos(zx)} In programming languages, sin is typically either a built-in function or found within the language's standard math library. = We all went on Monday Evening to the sea shore, to see the sceneDrawn: thi… cos sine controversia adverb: kétségkívül határozószó. ⁡ 2 sine. The sine curve arc length from 0 to x is. ⁡ z For certain integral numbers x of degrees, the value of sin(x) is particularly simple. sin(1022). e .. {\displaystyle \mathbb {C} } x The chord function was discovered by Hipparchus of Nicaea (180–125 BCE) and Ptolemy of Roman Egypt (90–165 CE). ln Using the reflection from the calculated geometric derivation of the sine is with the (4n+k)-th derivative at the point 0: This gives the following Taylor series expansion at x = 0. In trigonometry, a unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system. Therefore, in most branches of mathematics beyond practical geometry, angles are generally assumed to be expressed in radians. . 1 sin. This definition is consistent with the right-angled triangle definition of sine and cosine when 0° < θ < 90°: because the length of the hypotenuse of the unit circle is always 1, , z ⁡ {\displaystyle \textstyle {\sum _{n=1}^{\infty }|a_{n}(z)|}} ( {\displaystyle \sin(\alpha +360^{\circ })=\sin(\alpha )} 2 en "A thousand troopers, Tiridates said, ""would be his escort; what force of every kind was to be with Corbulo, he did not prescribe, provided they came in peaceful fashion, without breastplates and helmets."" ( Latin Hungarian; coniugium sine prole, est quasi dies sine sole: házasság gyermek nélkül olyan, mint a nappal napsütés nélkül The following table documents how sine can be expressed in terms of the other common trigonometric functions: For all equations which use plus/minus (±), the result is positive for angles in the first quadrant. One can then use the theory of Taylor series to show that the following identities hold for all real numbers x (where x is the angle in radians):, If x were expressed in degrees then the series would contain factors involving powers of π/180: if x is the number of degrees, the number of radians is y = πx /180, so, The series formulas for the sine and cosine are uniquely determined, up to the choice of unit for angles, by the requirements that, The radian is the unit that leads to the expansion with leading coefficient 1 for the sine and is determined by the additional requirement that. {\displaystyle 2\pi } Definition from Wiktionary, the free dictionary, eDIL: Electronic Dictionary of the Irish Language, Indogermanisches etymologisches Wörterbuch, https://en.wiktionary.org/w/index.php?title=sine&oldid=61390958, Irish terms derived from Proto-Indo-European, Latin terms with Ecclesiastical IPA pronunciation, Latin terms derived from Proto-Indo-European, Norwegian Bokmål terms inherited from Old Norse, Norwegian Bokmål terms derived from Old Norse, Norwegian Bokmål terms with IPA pronunciation, Norwegian Nynorsk terms inherited from Old Norse, Norwegian Nynorsk terms derived from Old Norse, Norwegian Nynorsk terms with IPA pronunciation, Old Irish terms inherited from Proto-Celtic, Old Irish terms derived from Proto-Celtic, Old Irish terms derived from Proto-Indo-European, Scottish Gaelic terms with IPA pronunciation, Scottish Gaelic terms inherited from Old Irish, Scottish Gaelic terms derived from Old Irish, Scottish Gaelic terms inherited from Proto-Celtic, Scottish Gaelic terms derived from Proto-Celtic, Scottish Gaelic terms derived from Proto-Indo-European, Scottish Gaelic terms borrowed from English, Scottish Gaelic terms derived from English, Westrobothnian terms with IPA pronunciation, Requests for translations into Vietnamese, Creative Commons Attribution-ShareAlike License. Let = x = θ Animation showing how the sine function (in red) n z n (pathology) An abnormal cavity or passage such as a fistula, caused by the destruction of tissue. hypotenuse 3. d π For arguments outside those in the table, one may compute the corresponding information by using the periodicity sin The sine function is commonly used to model periodic phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations throughout the year. a 1 nameless adjective: sine nomine: without name: sine nomine: anonymous adjective: sine nomine, clancularius, anonymus: unnamed adjective: sine nomine, incelebratus, indictus: Find more words! Sine definition: a trigonometric function that in a right-angled triangle is the ratio of the length of... | Meaning, pronunciation, translations and examples The table below displays many of the key properties of the sine function (sign, monotonicity, convexity), arranged by the quadrant of the argument. For quotations using this term, see Citations:sine. ⁡ z Some still refer the si- in sine to this root, others refer it to Proto-Indo-European *só (“this”), whence si (“if”). Sine definition at Dictionary.com, a free online dictionary with pronunciation, synonyms and translation. ⁡ Sine die is Latin and is defined as indefinitely, or without a future date set. From the Latin translation of the Vulgate Bible of Psalm 130, of which it is a traditional title in Roman Catholic liturgy. Although dealing with complex numbers, sine's parameter in this usage is still a real number. The parameter of each is a floating point value, specifying the angle in radians. , All six trigonometric functions in current use were known in Islamic mathematics by the 9th century, as was the law of sines, used in solving triangles. sin z A similar argument can be made for the cosine function to show that These apply for all values of which in turn is found in the functional equation for the Riemann zeta-function. Etymologically, the word sine derives from the Sanskrit word for chord, jiva*(jya being its more popular synonym). π d ) This is an entire function. , the sine function is denoted simply as {\displaystyle z\in \mathbb {C} } . Borrowed from Latin sinus (“curve, bend; bosom”), a translation of Arabic جَيْب‎ (jayb, “bosom”), a misidentification of the notation جب (jb), written without vowel diacritics, standing for Arabic جِيبَ‎ (jība, “sine”), in turn from Sanskrit ज्या (jyā, “sine, chord, bowstring”) through the similar Sanskrit जीव (jīva, “sine, chord, life, existence”). Look it up now! {\displaystyle y=\sin(\theta )} What does sine nomine mean in Latin? , and sinus (plural sinuses) 1. Since π Doublet of sinus. (pathology) An abnormal cavity or passage such as a fis… ⁡ The reciprocal of sine is cosecant, i.e., the reciprocal of sin(A) is csc(A), or cosec(A). sin The x- and y-coordinates of this point of intersection are equal to cos(θ) and sin(θ), respectively. SINE Latin: Withou. θ The actions are so obvious … θ . ◼ n By definition, arcsine satisfies the equation: where C denotes the constant of integration.. ( It is also sometimes useful to express the complex sine function in terms of the real and imaginary parts of its argument: Using the partial fraction expansion technique in complex analysis, one can find that the infinite series, both converge and are equal to Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License C Both graphs have the same shape, but with different ranges of values, and different periods. For example, computing modulo 1 or modulo 2 for a binary point scaled fixed-point value requires only a bit shift or bitwise AND operation. sine. What does sine mean in Latin? {\displaystyle 2\pi } π What does sine-die mean? n z is a complex number. f Nevettheless, there are those of us who know the difference, who have studied both mathematics and Latin, and so i … {\displaystyle \pi } ) For an angle $$x$$, the sine function is denoted simply as $$\sin x$$. where Representing angles in turns or half-turns has accuracy advantages and efficiency advantages in some cases. cos {\displaystyle f} times x, plus a correction 1 in binary floating-point or binary scaled fixed-point always involves a loss of accuracy. y α sine m (oblique plural sines, nominative singular sines, nominative plural sine). ) = + 1 From Proto-Celtic *sɸenyos, itself from Proto-Indo-European *pstḗn. English Translation. C {\displaystyle \sin(\theta )={\tfrac {\textrm {opposite}}{\textrm {hypotenuse}}}={\tfrac {\textrm {opposite}}{1}}={\textrm {opposite}}} → One of the most popular Latin phrases, meaning, "Through adversity to the stars," this utterance is generally used to describe the overcoming of adversity resulting in a favorable outcome. can be written in closed form using special functions, but it is perhaps more instructive to write the decimal approximations of the Fourier coefficients. / sine translation in Latin-English dictionary. π A simple and powerful online Latin dictionary This dictionary was built to bring the power of William Whitaker's Words into an easy-to-use online interface. DAMNUM SINE INJURIA Latin meaning Damage without legal injury. de re: about/regarding the matter Bitte nimm Ergänzungen deshalb auch nur dort vor. Between the sine function, but with different ranges of values, and by injuring others typically either built-in... 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