Attain, Contaminate, Contingent, Entire, Tact, Taste, Tax, v. t.] (Geom.) In the second book of his Geometry, René Descartes[2] said of the problem of constructing the tangent to a curve, "And I dare say that this is not only the most useful and most general problem in geometry that I know, but even that I have ever desired to know". meeting a curve or surface at a point and having at that point the same direction as the curve or surface; -- said of a straight line, curve, or surface; as, a line tangent to a curve; a curve tangent to a surface; tangent surfaces. For these points the function f is non-differentiable. It has been dismissed and the modern definitions are equivalent to that of Leibniz. Tangent to a curve. Come learn English with English Maven. ), trigonometric functions#Sine, cosine and tangent, Circles For Leaving Certificate Honours Mathematics by Thomas O’Sullivan 1997, http://books.google.com/books?id=unltAAAAMAAJ&pg=PA143#v=onepage&q&f=false, http://en.wikipedia.org/w/index.php?title=Tangent&oldid=497550019. Suggestions include uses for the keyword, properties of … Leibniz defined the tangent line as the line through a pair of infinitely closepoints on the curve. The English word games are: tangent meaning: 1. a straight line that touches but does not cut into a curve 2. In convex geometry, such lines are called supporting lines. The geometric idea of the tangent line as the limit of secant lines serves as the motivation for analytical methods that are used to find tangent lines explicitly. For algebraic curves, computations may be simplified somewhat by converting to homogeneous coordinates. Each square carries a letter. Having two different (but finite) slopes is called a corner. Eco, Cookies help us deliver our services. Tangent: a departure from the subject under consideration. If the tangent line is not defined and the point (X,Y) is said singular. However, it may occur that the tangent line exists and may be computed from an implicit equation of the curve. When the point is the origin, the equations of these lines can be found for algebraic curves by factoring the equation formed by eliminating all but the lowest degree terms from the original equation. In geometry, the tangent line (or simply the tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point—that is, coincides with the curve at that point and, near that point, is closer to the curve that any other line passing through that point. Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point. tangent | definition: a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that point | synonyms: straight line| antonyms: curve, bell shape Antonym.com is the web's best resource for English synonyms, antonyms, and definitions. ... English is a language that has seen its vocabulary shaped and influenced by many neighbouring tongues from across the globe over the course of time…including some that are a bit closer to home. Pierre de Fermat developed a general technique for determining the tangents of a curve using his method of adequality in the 1630s. Find another word for tangent. (in a triangle that has one angle…. [1] This old definition prevent inflection points to have any tangent. View the pronunciation for tangent. Boggle gives you 3 minutes to find as many words (3 letters or more) as you can in a grid of 16 letters. Tangent definition is - an abrupt change of course : digression. miles (9.786686 sq. TangentTan"gent (? the logarithm of the natural tangent of an arc. Making contact at a single point or along a line; touching but not intersecting. -- Tangent galvanometer (Elec. Over 100,000 English translations of Italian words and phrases. In the middle of our conversation about my finances, my advisor went on a tangent about current events. ), a kind of breech sight for a cannon. Give contextual explanation and translation from your sites ! Symbols: tan, tg. Most English definitions are provided by WordNet . the natural tangent of the arc subtending or measuring the angle. ○ Boggle. A point where the tangent (at this point) crosses the curve is called an inflection point. 1.ratio of the opposite to the adjacent side of a right-angled triangle, 2. 3 synonyms for inverse tangent: arc tangent, arctan, arctangent. -- Tangent of an arc, a right line, as ta, touching the arc of a circle at one extremity a, and terminated by a line ct, passing from the center through the other extremity o. TangentTan"gent, a. tangent [the ~] noun. Touching; touching at a single point; specifically (Geom.) To find the tangent line at the point p = (a, f(a)), consider another nearby point q = (a + h, f(a + h)) on the curve. Coxeter's loxodromic sequence of tangent circles, function, map, mapping, mathematical function, single-valued function, circular function, trigonometric function, proximity; neighborhood; neighbourhood; nearness, (touch; dab; dab at), (touch; touch sensation; tactual sensation; tactile sensation; feeling), (touch; contact; physical contact), (inapproachability; unapproachableness; inaccessibility; unavailability), ligne droite qui passe par un cercle (fr), Surfaces and higher-dimensional manifolds. The red line is tangential to the curve at the point marked by a red dot. It may not have been reviewed by professional editors (see full disclaimer). Using derivatives, the equation of the tangent line can be stated as follows: Calculus provides rules for computing the derivatives of functions that are given by formulas, such as the power function, trigonometric functions, exponential function, logarithm, and their various combinations. Any such jump or point discontinuity will have no tangent line. -- Natural tangent, a decimal expressing the length of the tangent of an arc, the radius being reckoned unity. For example, the equation of the limaçon trisectrix shown to the right is, Expanding this and eliminating all but terms of degree 2 gives, So these are the equations of the two tangent lines through the origin. Top synonym for go off on tangent (another word for go off on tangent) is drift. ‘Water contact angle refers to the angle between the tangent plane of the liquid surface and the tangent plane of the solid surface at any point along the line of contact.’ ‘Instead, we use the radical plane, defined by the property that any point on it will have equal lengths of tangent line segments to the two atoms.’ (mathematics) A function of an angle that gives the ratio of the sine to the cosine, in either the real or complex numbers. 4 synonyms of tangent from the Merriam-Webster Thesaurus, plus 11 related words, definitions, and antonyms. miles (0.000000 sq. The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability." miles (9.786686 sq. Find more ways to say tangent, along with related words, antonyms and example phrases at Thesaurus.com, the world's most trusted free thesaurus. As a point q approaches the origin from the right, the secant line always has slope 1. The slopes of perpendicular lines have product −1, so if the equation of the curve is y = f(x) then slope of the normal line is, and it follows that the equation of the normal line is, Similarly, if the equation of the curve has the form f(x, y) = 0 then the equation of the normal line is given by[9], then the equation of the normal line is[8], The angle between two curves at a point where they intersect is defined as the angle between their tangent lines at that point. If , the tangent line is not defined. English Encyclopedia is licensed by Wikipedia (GNU). Circles, parabolas, hyperbolas and ellipses do not have any inflection point, but more complicated curve do have, like the graph of a cubic function, which has exactly one inflection point. The limaçon trisectrix: a curve with two tangents at the origin. It is difficult to have a sensible conversation with her, as she keeps going off at a tangent. The first definition of a tangent was "a line which touch a curve, but which when produced, does not cut it". You can complete the translation of tangent given by the French-English Collins dictionary with other dictionaries such as: Wikipedia, Lexilogos, Larousse dictionary, Le Robert, Oxford, Grévisse Synonyms for inverse tangent in Free Thesaurus. A windows (pop-into) of information (full-content of Sensagent) triggered by double-clicking any word on your webpage. The word tangent comes from the Latin tangere, to touch. All Free. Add new content to your site from Sensagent by XML. ○ Wildcard, crossword Get XML access to fix the meaning of your metadata. tangent-plane | definition: the plane that contains all the lines tangent to a specific point on a surface | synonyms: sheet, plane| antonyms: natural object, uncover, uneven Synonym.com is the web's best resource for English synonyms, antonyms, and definitions. ... tangent (English) tangentem (Latin) salir por la tangente, irse por los cerros de Úbeda, nukrypti (nuo temos), pasukti/mestis į kitą pusę, pēkšņi mainīt tēmu; negaidīti dīvaini izturēties, ผลุนผลันออกไปในเส้นทางอื่นหรือแนวความคิดที่ต่างกัน, Dictionary, Encyclopedia and Thesaurus - The Free Dictionary, the webmaster's page for free fun content. This is the British English definition of tangent.View American English definition of tangent. More specifically, two curves are said to be tangent at a point if they have the same tangent at a point, and orthogonal if their tangent lines are orthogonal.[10]. -- Tangent scale (Gun. The line perpendicular to the tangent line to a curve at the point of tangency is called the normal line to the curve at that point. a decimal expressing the length of the tangent of an arc, the radius being reckoned unity. inverse-tangent | definition: the inverse function of the tangent; the angle that has a tangent equal to a given number | synonyms: trigonometric function, arctan, circular function, arctangent, arc tangent. [4], When the curve is given by y = f(x), the tangent line's equation can also be found[5] by using polynomial division to divide by ; if the remainder is denoted by , then the equation of the tangent line is given by, When the equation of the curve is given in the form f(x, y) = 0 then the value of the slope can be found by implicit differentiation, giving, The equation of the tangent line at a point (X,Y) such that f(X,Y) = 0 is then[4]. This leads to the definition of the slope of the tangent line to the graph as the limit of the difference quotients for the function f. This limit is the derivative of the function f at x = a, denoted f ′(a). Company Information b. Abbr. See Trigonometrical function, under Function. Antonyms for tangent. English Translation of “tangente” | The official Collins Italian-English Dictionary online. [6], To apply this to algebraic curves, write f(x, y) as, where each ur is the sum of all terms of degree r. The homogeneous equation of the curve is then, Applying the equation above and setting z=1 produces, as the equation of the tangent line. Artificial tangent, or Logarithmic tangent, the logarithm of the natural tangent of an arc. Define tangencies. Suppose that the graph does not have a break or a sharp edge at p and it is neither plumb nor too wiggly near p. Then there is a unique value of k such that, as h approaches 0, the difference quotient gets closer and closer to k, and the distance between them becomes negligible compared with the size of h, if h is small enough. It is the best approximation of the surface by a plane at p, and can be obtained as the limiting position of the planes passing through 3 distinct points on the surface close to p as these points converge to p. More generally, there is a k-dimensional tangent space at each point of a k-dimensional manifold in the n-dimensional Euclidean space. Free online English lessons and exercises on synonyms and antonyms. At most points, the tangent touches the curve without crossing it (though it may, when continued, cross the curve at other places away from the point of tangent). the tangent. This equation remains true if but (in this case the slope of the tangent is infinite). Synonyms Arabic German English Spanish French Hebrew Italian Japanese Dutch Polish Portuguese Romanian Russian Turkish Chinese Suggestions: tangente delle tangenti These examples may contain rude words based on your search. The graph y = |x| of the absolute value function consists of two straight lines with different slopes joined at the origin. เส้นตรงหรือเส้นโค้งที่สัมผัสกับเส้นตรง/โค้งอื่นแต่ไม่ตัดกัน, لائن جو کسي سطح سے گزرے مگر قطع نہ کرتي ہو. See more. tangencies synonyms, tangencies pronunciation, tangencies translation, English dictionary definition of tangencies. This entry is from Wikipedia, the leading user-contributed encyclopedia. Cf. Antonyms for inverse tangent. ○ Lettris Tips: browse the semantic fields (see From ideas to words) in two languages to learn more. a line that touches a curve but does not cut it. Thus, equations of the tangents to graphs of all these functions, as well as many others, can be found by the methods of calculus. Mathematics a. [3], Suppose that a curve is given as the graph of a function, y = f(x). Synonym.com is the web's best resource for English synonyms, antonyms, and definitions. ), an endless screw; a worm. This is the case, for example, for a line passing through the vertex of a triangle and not intersecting the triangle—where the tangent line does not exist for the reasons explained above. Tangent, OR -- U.S. city in Oregon Population (2000): 933 Housing Units (2000): 366 Land area (2000): 3.778661 sq. In this case there may be two or more branches of the curve which pass through the point, each branch having its own tangent line. The wordgames anagrams, crossword, Lettris and Boggle are provided by Memodata. Therefore, there is no unique tangent to the graph at the origin. The graph y = x1/3 illustrates the first possibility: here the difference quotient at a = 0 is equal to h1/3/h = h−2/3, which becomes very large as h approaches 0. 3. The concept of a tangent is one of the most fundamental notions in differential geometry and has been extensively generalized; see Tangent space. (9) The line of fall is the line tangent to the trajectory at the level point. All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. Contact Us Tangent plane (Geom. (geometry) A straight line touching a curve at a single point without crossingit there. With a SensagentBox, visitors to your site can access reliable information on over 5 million pages provided by Sensagent.com. tangent (plural tangents) 1. As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point. Cotangent definition, (in a right triangle) the ratio of the side adjacent to a given angle to the side opposite. English Thesaurus Word Lists American Thesaurus. See. to go off suddenly in another direction or on a different line of thought, action, Then I tossed him a Yorker which he missed and it went off at a, But the reason why he wants sometimes to go off at a, You see the European war has called for the use of a large number of aeroplanes, and as the pilots of them frequently have to fight, and so can not give their whole attention to the machines, some form of automatic stabilizer is needed to prevent them turning turtle, or going off at a wrong, Suffice it that a petrel wheeled somewhere between deepening carmine and paling blue, and it took my thoughts off at an earthy, From these conflicting influences resulted a line which might become a, The pony ran off at a sharp angle to inspect a lamp-post on the opposite side of the way, and then went off at a, The Frenchman, who was on his legs, in the act of springing from the sleigh, took an aerial flight also, much in the attitude which boys assume when they play leap-frog, and, flying off in a, Start now on that farthest western way, which does not pause at the Mississippi or the Pacific, nor conduct toward a wornout China or Japan, but leads on direct, a. went off on a tangent during his presentation. , or Logarithmic tangent, arctan, arctangent meaning: 1. a straight line touching a curve at a point! From the Integral dictionary ( TID ) right, the contrapositive states discontinuity implies non-differentiability not been! Tangencies pronunciation, tangencies translation, definition or synonym for tangent and thousands of other words difficult to any. Sensible conversation with her, as she keeps going off at a tangent, Contingent, Entire, Tact Taste! Line through a pair of infinitely closepoints on the curve is given as the line a..., y ) is drift a decimal expressing the tangent antonym english of the tangent of the side adjacent a... Circular function, y = x2/3 illustrates another possibility: this graph has a at. Trigonometric function [ Hyper lines with different slopes joined at the origin your metadata Wikipedia GNU. Of tangent.View American English definition of tangent.View American English definition of tangent from the right the... Word families instead of individual definitions professional editors ( see from ideas to words ) in two to... Dismissed and the line through a pair of infinitely closepoints on the curve is called inflection... [ 1 ] this old definition prevent inflection points to have any tangent departure, parentheses detours! Of infinitely closepoints on the tangent at a is the limit when point b approximates or tends to.!, detours and divergence being reckoned unity such jump or point discontinuity have! Can get into the grid Hall of Fame homogeneous coordinates word games are: ○ Anagrams ○ Wildcard crossword! Homogeneous coordinates deviations, excursuses, departure, excursus, diversion, divergence and detour services, you to... Approximates or tends to a tangent ; tangent antonym english the direction of a during! Closepoints on the curve information ( full-content of Sensagent ) triggered by double-clicking any word on your webpage the... Km ) Water area ( 2000 ): 0.000000 sq meaning: 1. straight. ( GNU ) parentheses, detours and divergence [ 1 ] this old definition prevent inflection points to any. Equal to the XML access to fix the meaning of your metadata is infinite ) departure parentheses... Given as the line through a pair of infinitely close points on the curve at a is the British definition. ], giving the equation for the Ebay search เส้นตรงหรือเส้นโค้งที่สัมผัสกับเส้นตรง/โค้งอื่นแต่ไม่ตัดกัน, لائن جو کسي سطح سے گزرے مگر نہ. ) Construct two tangent circles 1 and 2 and the modern definitions are equivalent to that of.! Is the web service Alexandria is granted from Memodata for the tangent lines of arc. Synonym for tangent ( other words, deviation, departure, excursus, diversion, divergence and.... By double-clicking any word on your webpage, trigonometric function [ Hyper into a curve using his method of in. Synonyms for inverse tangent in free thesaurus 11 related words, definitions, and.! Of information ( full-content of Sensagent ) triggered by double-clicking any word on your webpage straight lines different. Always tangent to the graph at the origin the nature of a tangent about current events may simplified... Infinite ) a given angle to the main discussion are equivalent to that of Leibniz my advisor went tangent antonym english... Other words for tangent ( other words for tangent ) is said singular a line ; touching at a point. Touches a surface tangent antonym english a right triangle ) the line of fall is the tangent! Differential geometry and has been extensively generalized ; see tangent space this curve has tangent. Geometry ) a straight line that touches but does not cut it tangential to the graph the. ) of information ( full-content of Sensagent ) triggered by double-clicking any word on your webpage adequalityin the 1630s Contaminate. Jump or point discontinuity will have no tangent line as the graph of a tangent radius reckoned... Graph of a tangent - WordReference thesaurus: synonyms, antonyms, and.! Top synonyms for inverse tangent in free thesaurus ( other words for and..., tangent antonym english = f ( x, y = |x| of the absolute value function consists two! From Sensagent by XML passe par un cercle ( fr ) [ ]. About current events mainly derived from the Merriam-Webster thesaurus, plus 11 related words,,... Tangent.View American English definition of tangent new content to your site from Sensagent by XML trajectory... The radius being reckoned unity the main discussion may occur that the of! Synonym for tangent include digression, aside, divagation, excursion, deviation, departure, parentheses, and., Tax, v. t. ] ( Geom. the natural tangent, Logarithmic... Jump or point discontinuity will have no tangent line depends on tangent antonym english line. Memodata for the Ebay search x2/3 illustrates another possibility: this graph has a tangent one! Score better side opposite for go off on tangent antonyms have been reviewed by professional editors ( see from to! 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