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Tangent of an arc

Tangent Tan"gent, n. [L. tangens, -entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. Attain, Contaminate, Contingent, Entire, Tact, Taste, Tax, v. t.] (Geom.) A tangent line curve, or surface; specifically, that portion of the straight line tangent to a curve that is between the point of tangency and a given line, the given line being, for example, the axis of abscissas, or a radius of a circle produced. See Trigonometrical function, under Function. Artificial, or Logarithmic, tangent, the logarithm of the natural tangent of an arc. Natural tangent, a decimal expressing the length of the tangent of an arc, the radius being reckoned unity. Tangent galvanometer (Elec.), a form of galvanometer having a circular coil and a short needle, in which the tangent of the angle of deflection of the needle is proportional to the strength of the current. Tangent of an angle, the natural tangent of the arc subtending or measuring the angle. 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.

Tangent Tan"gent, n. [L. tangens, -entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. Attain, Contaminate, Contingent, Entire, Tact, Taste, Tax, v. t.] (Geom.) A tangent line curve, or surface; specifically, that portion of the straight line tangent to a curve that is between the point of tangency and a given line, the given line being, for example, the axis of abscissas, or a radius of a circle produced. See Trigonometrical function, under Function. Artificial, or Logarithmic, tangent, the logarithm of the natural tangent of an arc. Natural tangent, a decimal expressing the length of the tangent of an arc, the radius being reckoned unity. Tangent galvanometer (Elec.), a form of galvanometer having a circular coil and a short needle, in which the tangent of the angle of deflection of the needle is proportional to the strength of the current. Tangent of an angle, the natural tangent of the arc subtending or measuring the angle. 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.

- Tangent arcs are a type of halo, an atmospheric optical phenomenon, which appears above and below the observed Sun or Moon, tangent to the 22° halo. To...

- Tangent arc can refer to two optical phenomena belonging to the class of halos: Upper tangent arc Lower tangent arc Cir****scribed halo This disambiguation...

- functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sine, cosine, tangent, cotangent...

- An infralateral arc (or lower lateral tangent arc) is a rare halo, an optical phenomenon appearing similar to a rainbow under a white parhelic circle...

- A Parry arc is a rare halo, an optical phenomenon which occasionally appears over a 22° halo together with an upper tangent arc. The halo was first described...

- arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the...

- uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability." For example, if two circular arcs meet at...

- circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at...

- supralateral arc, in contrast, can even be confused with the rainbow with clear blue and green strokes. Solar Halo, Upper Tangent Arc, Supralateral Arc : 20 June...

- trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half an angle...

- Tangent arc can refer to two optical phenomena belonging to the class of halos: Upper tangent arc Lower tangent arc Cir****scribed halo This disambiguation...

- functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sine, cosine, tangent, cotangent...

- An infralateral arc (or lower lateral tangent arc) is a rare halo, an optical phenomenon appearing similar to a rainbow under a white parhelic circle...

- A Parry arc is a rare halo, an optical phenomenon which occasionally appears over a 22° halo together with an upper tangent arc. The halo was first described...

- arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the...

- uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability." For example, if two circular arcs meet at...

- circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at...

- supralateral arc, in contrast, can even be confused with the rainbow with clear blue and green strokes. Solar Halo, Upper Tangent Arc, Supralateral Arc : 20 June...

- trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half an angle...

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