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A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal.

Is a curved line infinite. A curved line is defined as a line that is not straight but is bent. Indeed a curved line can be considered most appropriately as the way, which a point continually moving forwards with a continuous variation in the direction of the motion. What is a curved line?

Ideally, a straight line holds a zero. From this point of view, it would make sense to say that a straight line has infinite radius. In geometry and topology, the line at infinity is a projective line that is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the.

In general, we mean by a curved space simply one in which the rules of euclidean geometry break down with one sign of discrepancy or the other. Intuitively, a curve may be thought of as the. In other words, the curve and its asymptote get infinitely close, but they never meet.

A tangent vector to a curve at a point \(p\) on it is a short straight line segment \(l\) passing through the point and pointing along the curve. A curve is a continuous and smooth flowing line without any sharp turns and that bends. A curved line, as the name suggests, is a line that is bent.

We see curved objects all around us. The formulas just work when one or more of the circles is a line, and the corresponding curvature is $0$. Curved lines are also known.

A line that is not straight but in geometry a line is always straight (not curved). Illustrated definition of curved line: An asymptote of a curve is a line to which the curve converges.

What is true is that the curvature of a circle with radius r is 1/r. To turn this into a surface with infinite curvature, note that $x(u,v)=(u,|u|^{3/2},v)$ so you can see just extending this curve in the z direction, we. In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight.

Many people have shared your intuition that lines seem like infinite circles, but the problem remains that if a circle is the set of points a fixed distance from a fixed. The bounding line is called. Learn about curved shapes, types of curves, examples, facts, and more.

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