| 释义 |
tangent
 tangenttan θ = a/b tan·gent T0035100 (tăn′jənt)n.1. Mathematics a. A line, curve, or surface meeting another line, curve, or surface at a common point and sharing a common tangent line or tangent plane at that point.b. Abbr. tan The trigonometric function of an acute angle in a right triangle that is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.2. A sudden digression or change of course: went off on a tangent during his presentation.3. Music An upright pin in a keyboard instrument, especially in a clavichord, that rises to sound a string when a key is depressed and stops the string at a preset length to set the pitch.adj. Making contact at a single point or along a line; touching but not intersecting.
[Latin (līnea) tangēns, tangent-, touching (line), present participle of tangere, to touch; see tag- in Indo-European roots.]tangent (ˈtændʒənt) n1. (Mathematics) a geometric line, curve, plane, or curved surface that touches another curve or surface at one point but does not intersect it2. (Mathematics) (of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the adjacent side; the ratio of sine to cosine. Abbreviation: tan 3. (Surveying) the straight part on a survey line between curves4. (Music, other) music a part of the action of a clavichord consisting of a small piece of metal that strikes the string to produce a note5. on a tangent at a tangent on a completely different or divergent course, esp of thought: to go off at a tangent. adj6. (Mathematics) a. of or involving a tangentb. touching at a single point7. touching8. almost irrelevant[C16: from Latin phrase līnea tangēns the touching line, from tangere to touch] ˈtangency ntan•gent (ˈtæn dʒənt)
n. 1. a line or plane that touches but does not intersect a curve or surface at a point so that it is closer to the curve or surface in the vicinity of the point than any other line or plane drawn through the point. 2. Also called tan .a fundamental trigonometric function that, in a right triangle, is expressed as the ratio of the side opposite an acute angle to the side adjacent to that angle. adj. 3. in immediate physical contact; touching; abutting. 4. a. touching at a single point, as a tangent in relation to a curve or surface. b. in contact along a single line or element, as a plane with a cylinder. 5. tangential (def. 3). Idioms: off on or at a tangent, digressing suddenly from one course of action or thought and turning to another. [1585–90; < Latin tangent-, s. of tangēns, in phrase līnea tangēns touching line; see -ent] tan′gen•cy (-dʒən si) n. tan·gent (tăn′jənt)1. A line, curve, or surface touching but not intersecting another.2. The ratio of the length of the side opposite an acute angle in a right triangle to the side adjacent to the angle.Thesaurus| Noun | 1. |  tangent - a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that pointstraight line - a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line" | | 2. | tangent - ratio of the opposite to the adjacent side of a right-angled triangletancircular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle |
tangentnounAn instance of digressing:aside, deviation, digression, divagation, divergence, divergency, excursion, excursus, irrelevancy, parenthesis.Translationstangent (ˈtӕndʒənt) noun a line that touches a curve but does not cut it. 切線 切线go off at a tangent to go off suddenly in another direction or on a different line of thought, action etc. It is difficult to have a sensible conversation with her, as she keeps going off at a tangent. 突然改變方向(或話題) 突然改变方向（或话题） tangent
off at a tangentOn a course of discussion that is irrelevant or divergent from the topic at hand. Primarily heard in UK. If we keep going off at a tangent, we'll never get through this meeting. It's impossible to get through a conversation with my mother because she's always going off at a tangent.See also: off, tangent(off) on a tangentAddressing a topic or topics not relevant to the main discussion. I tried to address the customer's problem, but she kept going off on a tangent and I couldn't understand what her true complaint was. In the middle of our conversation about my finances, my advisor went on a tangent about current events.See also: on, tangentgo (off) on a tangentTo begin addressing or discussing a topic or topics not relevant to the main discussion. I tried to address the customer's problem, but she kept going off on a tangent and I couldn't understand what her true complaint was. In the middle of our conversation about my finances, my advisor went on a tangent about current events.See also: go, on, tangentgo off1. Of an explosive device, to explode. Run! The bomb in the building could go off at any moment!2. Of an alarm, to enter into an active state, typically resulting in a loud noise or other indication. The whole building had to evacuate because the smoke alarm went off. The silent alarm went off at the bank, we'd better check it out.3. To depart. If you want Mom to get something for you, you better talk to her before she goes off to the store.4. To stop functioning. You better go look for coffee in another department—our pot went off before it was finished brewing. The power went off hours ago—what's taking them so long to get it back on?5. To happen. Considering all the problems we had beforehand, it's amazing that our party went off so well!6. To expire, as of food or drink. "Off" in this usage means spoiled or rotten. Don't eat those leftovers—they're a week old and have definitely gone off.7. To stop taking a medication, which is stated after "off." Didn't the doctor tell you that you have to go off a medication like this gradually?8. To become very angry and hostile, often unexpectedly. The boss just came into my office and went off on me for no apparent reason. Every time I bring up that topic, he just goes off.9. To talk about something at length. Grandpa went off on politics for so long that our dinner got cold.10. To die. At Christmastime, I really miss the relatives who have gone off before us.11. slang To orgasm. I don't think I'll sleep with him again—I didn't go off the last time.See also: go, offgo off at a tangentTo begin addressing or discussing a topic or topics not relevant to the main discussion. I tried to address the customer's problem, but she kept going off at a tangent and I couldn't understand what her true complaint was. In the middle of our conversation about my finances, my advisor went off at a tangent about current events.See also: go, off, tangentfly off at a tangentTo begin addressing or discussing a topic that is different than or not relevant to the main discussion. I tried to address the customer's problem, but she kept flying off at a tangent and I couldn't understand what her true complaint was. In the middle of our conversation about my finances, my advisor flew off at a tangent about current events.See also: fly, off, tangentgo off 1. Lit. [for an explosive device] to explode. The fireworks all went off as scheduled. The bomb went off and did a lot of damage. 2. Lit. [for a sound-creating device] to make its noise. The alarm went off at six o'clock. The siren goes off at noon every day. 3. Fig. [for an event] to happen or take place. The party went off as planned. Did your medical examination go off as well as you had hoped?See also: go, offgo off(by oneself) to go into seclusion; to isolate oneself. She went off by herself where no one could find her. I have to go off and think about this.See also: go, offgo off(into something) to go away to something; to depart and go into something. He went off into the army. Do you expect me just to go off into the world and make a living?See also: go, offgo off on a tangentFig. to pursue a somewhat related or irrelevant course while neglecting the main subject. Don't go off on a tangent. Stick to your job. Just as we started talking, Henry went off on a tangent about the high cost of living.See also: go, off, on, tangentgo off (with someone)to go away with someone. Tom just now went off with Maggie. I think that Maria went off with Fred somewhere.See also: go, offgo off1. Explode, detonate; also, make noise, sound, especially abruptly. For example, I heard the gun go off, or The sirens went off at noon. This expression developed in the late 1500s and gave rise about 1700 to the related go off half-cocked, now meaning "to act prematurely" but originally referring to the slipping of a gun's hammer so that the gun fires (goes off) unexpectedly. 2. Leave, depart, especially suddenly, as in Don't go off mad, or They went off without saying goodbye. [c. 1600] 3. Keep to the expected plan or course of events, succeed, as in The project went off smoothly. [Second half of 1700s] 4. Deteriorate in quality, as in This milk seems to have gone off. [Late 1600s] 5. Die. Shakespeare used this sense in Macbeth (5:9): "I would the friends we missed were safely arrived.-Some must go off." 6. Experience orgasm. D.H. Lawrence used this slangy sense in Lady Chatterley's Lover (1928): "You couldn't go off at the same time...." This usage is probably rare today. Also see get off, def. 8. 7. go off on a tangent. See under on a tangent. 8. go off one's head. See off one's head. Also see subsequent idioms beginning with go off. See also: go, offon a tangentOn a sudden digression or change of course, as in The professor's hard to follow; he's always off on a tangent. This phrase often occurs in the idioms fly off or go off on a tangent , as in The witness was convincing until he went off on a tangent. This expression alludes to the geometric tangent-a line or curve that touches but does not intersect with another line or curve. [Second half of 1700s] See also: on, tangentgo off on a tangent BRITISH, AMERICAN or go off at a tangent BRITISH1. If a person or piece of writing goes off on a tangent or goes off at a tangent, they start saying or thinking something that is not directly connected with what they were saying or thinking before. Our teacher would occasionally go off on a tangent totally unrelated to the textbook. Note: Other verbs are sometimes used instead of go. The humour is often a little forced and the book's theme wanders off on a tangent now and then.2. If someone goes off on a tangent or goes off at a tangent, they start to behave in a completely different way from before or to do something completely different from what they were doing before. I suppose I was trying to conform, but then I went off on a tangent, moving to London to study drama. Note: In geometry, a tangent is a straight line which touches a curve at one point but does not cross it. See also: go, off, on, tangentgo/fly off at a ˈtangent (British English) (American English go off on a ˈtangent) change suddenly from talking or thinking about one thing to talking or thinking about another: One moment the professor is working hard on a problem in physics, the next he’s gone off at a tangent and he’s talking about bees.A tangent is a straight line that touches the outside of a curve but does not cross it.See also: fly, go, off, tangentgo offv.1. To go away: The children all went off to play at the park. Don't go off mad—let me explain!2. To stop functioning. Used especially of electrical devices: The lights went off suddenly, and the performance began right away.3. To occur, or be perceived as having occurred, in some particular manner: I think our party went off very well!4. To adhere to the expected course of events or the expected plan: The project went off smoothly.5. To stop taking some drug or medication: She went off painkillers a few weeks after the operation.6. To make a noise; sound: The siren goes off every day at noon.7. To undergo detonation; explode: If you push this red button, the bomb will go off.8. go off on To begin to talk extensively about something: He went off on a series of excuses for his bad behavior.9. go off on To berate someone directly and loudly: My boss really went off on me when she learned that I had forgotten to make the phone call.See also: go, offtangent
tangent, in mathematics. 1 In geometry, the tangent to a circlecircle,
closed plane curve consisting of all points at a given distance from some fixed point, called the center. A circle is a conic section cut by a plane perpendicular to the axis of the cone.
..... Click the link for more information. or sphere is a straight line that intersects the circle or sphere in one and only one point. For other curves and surfaces the tangent line at a given point P is defined as the limiting position, if such a limitlimit,
in mathematics, value approached by a sequence or a function as the index or independent variable approaches some value, possibly infinity. For example, the terms of the sequence 1-2, 1-4, 1-8, 1-16, … are obviously getting smaller and smaller; since, if enough
..... Click the link for more information. exists, of a secant line through P and another point P′ on the curve or surface as P′ is allowed to approach P. The tangent plane to a surface at a point is the plane in which every line in the plane that passes through the point is a tangent line to the surface at that point. The study of tangent lines and planes usually requires the concepts of the calculuscalculus,
branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit—the notion of tending toward, or approaching, an ultimate value.
..... Click the link for more information. and is included within the scope of differential geometrydifferential geometry,
branch of geometry in which the concepts of the calculus are applied to curves, surfaces, and other geometric entities. The approach in classical differential geometry involves the use of coordinate geometry (see analytic geometry; Cartesian coordinates),
..... Click the link for more information. . 2 A trigonometric function. See trigonometrytrigonometry
[Gr.,=measurement of triangles], a specialized area of geometry concerned with the properties of and relations among the parts of a triangle. Spherical trigonometry is concerned with the study of triangles on the surface of a sphere rather than in the plane; it is
..... Click the link for more information. .Tangent a trigonometric function. Its abbreviation is tan. The tangent of an acute angle in a right triangle is the ratio of the leg opposite the angle to the leg adjacent to the angle. tangent[′tan·jənt] (mathematics) A line is tangent to a curve at a fixed point P if it is the limiting position of a line passing through P and a variable point on the curve Q, as Q approaches P. The function which is the quotient of the sine function by the cosine function. Abbreviated tan. The tangent of an angle is the ratio of its sine and cosine. Abbreviated tan. tangentOf lines, curves, and surfaces: meeting at a single point and having, at that point, the same direction.tangent1. a geometric line, curve, plane, or curved surface that touches another curve or surface at one point but does not intersect it 2. (of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the adjacent side; the ratio of sine to cosine 3. Music a part of the action of a clavichord consisting of a small piece of metal that strikes the string to produce a note FinancialSeeTANSee TAN
See TANtangent
Related to tangent: trigonometry, Tangent functionSynonyms for tangentnoun an instance of digressingSynonyms- aside
- deviation
- digression
- divagation
- divergence
- divergency
- excursion
- excursus
- irrelevancy
- parenthesis
Synonyms for tangentnoun a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that pointRelated Wordsnoun ratio of the opposite to the adjacent side of a right-angled triangleSynonymsRelated Words- circular function
- trigonometric function
|