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A parabola, one of the simplest curves, after (straight) lines. 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. Intuitively, a curve may be thought of as the trace left by a moving point.
- Simple Curve
- Non-simple Curve
- Open Curve
- Closed Curve
- Upward Curve
- Downward Curve
- Curved Line
- Curved Line Images
- Area Between The Curves
A curve that changes its direction, but it does not intersect itself. This type of curve is known as a simple curve. A simple curve may be open or closed.
The non-simple curve is a type of curve that crosses its path. It means the curve intersects itself while changing its direction.
A curve has two endpoints, and when it does not enclose the area within itself it is known as an open curve. Some of the examples of open curves are as follows.
A curve has no endpoints, and when it encloses the region or area will form, it is known as the closed curve. The type of curve is formed by joining the two endpoints of the open curve. The best example of closed curves are circles, ellipses, etc.
A curve that points towards the upward direction is called an upward curve. The upward curves are called concave upward or convex downward curves.
A curve that points towards the downward direction is called a downward curve. The downward curves are called concave downward or convex upward curves.
A curved line is a line that is not straight and is bent. If the curvature is not zero, then it is considered as a curve line. Generally, it is smooth and continuous.
We can observe many objects and things which are in the shape of a curved line. Some of them include railway track at the turning points, track of a roller coaster, paths of a road particularly for hill areas and so on. Apart from the real life examples, we can also observe the curve shaped lines in maths such as graph a quadratic polynomial, i.e. ...
Area is a quantity that expresses the region covered for the given interval in the two-dimensional surface or a planar lamina. To find the area between the given two curves, it uses the concept of integration. The area between the two curvescan be determined by calculating the difference between the integrals of two functions. The area between two ...
A curve is a continuous and smooth flowing line without any sharp turns and that bends. Learn about curved shapes, types of curves, examples, facts, and more.
Sep 9, 2023 · Definition: An object or function is convex if it curves outward, or in other words, bulges out. Everyday Examples: An eye. A speed bump. A magnifying glass. A globe. A triangle. Ways to Remember. Concave: Think “Con-cave”; it has a “cave” or an inward dip. Convex: Think of “Con-vex” as “convicts” trying to escape, bulging outwards.
A curved line is one that is not straight and is bent. Ideally, it is smooth and continuous. In other words, a curve is defined as a group of points that resemble a straight line that falls between two neighbouring points. We know that the curvature of the straight line is zero.
- A curved line is a type of straight line with a bent. In other words, it is a geometrical object similar to the line having curvature.
- There are many examples of curved lines in the English alphabet, such as C, S and O.
- Curved lines are used mainly in the graphical representation of different types of functions.
- There are two types of curves namely simple open curves and simple closed curves. For example, “C” is the simple open curve and “O” is the simple c...
- A curve that doesn’t cross itself is called a simple curve. Otherwise, it is a complex (or non-simple) curve. For example, “U” is the simple curve,...
motion, in physics, change with time of the position or orientation of a body. Motion along a line or a curve is called translation. Motion that changes the orientation of a body is called rotation.
an object undergoing constant acceleration traces a portion of a parabola. average velocity is the slope of the straight line connecting the endpoints of a curve. instantaneous velocity is the slope of the line tangent to a curve at any point. positive slope implies motion in the positive direction.
