CLOSE CURVE Meaning and
Definition
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A close curve is a geometric shape and a term used in mathematics to describe a curve that forms a closed loop, meaning it starts and ends at the same point. It is a continuous curve that does not have any endpoints or breaks in its pattern. A close curve can be either a two-dimensional shape or a three-dimensional shape.
In two dimensions, a close curve can take various forms, such as a circle, an ellipse, a square, or any irregular curved shape that meets the criteria of being closed. It can be defined by a set of equations or parametric equations that describe the x and y coordinates of points on the curve. Additionally, a close curve can be either convex, where every line segment connecting two points on the curve lies entirely inside the curve, or concave, where there are at least two points for which the line segment connecting them intersects the curve.
In three dimensions, a close curve becomes a closed loop in space. This can be visualized as a curved line that wraps around itself without any interruptions or endpoints. One common example is a torus, which is shaped like a donut, where the curve wraps around both the inner and outer surfaces. The shape of a close curve in three dimensions can be described using equations or parametric equations that involve three variables, such as x, y, and z.
