Q: What t-word is defined in geometry as a strait line that touches a curve?

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tangent

Tangent

In geometry a straight line that touches a curve is called a tangent.

A tangent, but it (a) has nothing to do with croosing (whatever that may mean); and (b) while it does not cross the curve in the neighbourhood of the point of contact - there is no restriction on it crossing the curve at a distance.

The curve on the ball.

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tangent

Tangent

It is a tangent line

In geometry a straight line that touches a curve is called a tangent.

A tangent line touches a curve or the circumference of a circle at just one point.

A tangent, but it (a) has nothing to do with croosing (whatever that may mean); and (b) while it does not cross the curve in the neighbourhood of the point of contact - there is no restriction on it crossing the curve at a distance.

The curve on the ball.

Tangent:In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.Chord:A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.

It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.

A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.

A continuous curve.

Yes. It is the curve of a circle.