the state of being tangent.

1810–20; tang(ent) + -ency

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World English Dictionary
tangent (ˈtændʒənt)
1.  a geometric line, curve, plane, or curved surface that touches another curve or surface at one point but does not intersect it
2.  tan (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.  the straight part on a survey line between curves
4.  music a part of the action of a clavichord consisting of a small piece of metal that strikes the string to produce a note
5.  on a tangent, at a tangent on a completely different or divergent course, esp of thought: to go off at a tangent
6.  a.  of or involving a tangent
 b.  touching at a single point
7.  touching
8.  almost irrelevant
[C16: from Latin phrase līnea tangēns the touching line, from tangere to touch]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
No driveway shall be located across any curbed section of frontage lying between said point of intersection and point of tangency.
Compound horizontal curves consist of two curves joined at a point of tangency and located on the same side of a common tangent.
Describe curves by designating the points of curvature and tangency by station.
Driveway widths are measured from the face of the curb to the face of the curb at the point of tangency.
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