A “Curved line” or simply a ” Curve” is a line that is not straight. We see curves everywhere around us. Be it art or decoration or a general thing and curves can be seen around us. In this article, we are going to learn the definition of a curved line and the different types of curved lines with many examples.
What is a Curved Line?
A curved line is one that is not straight and is bent. Ideally, it is smooth and continuous. In other words, acurve is defined as a group of points that resemble a straight line thatfallsbetween two neighbouring points. We know that the curvature of the straight line is zero. Hence, if the curvature of a line is not zero, then we can call it a curved line. The following figure shows the different types of curved lines.
Difference Between Straight and Curved Line
| Straight Line | Curved Line |
| A straight line is the shortest line that joins any two points. It always moves in one direction. | A bent line that is not straight is called a Curved Line. It doesn’t move in one direction. |
Examples of Curved Lines
There are many examples of curved lines like the alphabet – C and S. Whereas the letters A, M, N, L, etc are not examples of curves since they can be formed by joining the line segments (or straight lines).
Also, Read:
Different Types of Curved Lines
The curved lines can be classified into different types. They are:
- Simple Curve
- Non-simple Curve
- Algebraic Curve
- Transcendental Curve
Simple Curve
A simple curve is defined as a curve that doesn’t cross itself. We know that the open curve has two endpoints, whereas a closed curve has no endpoints. A closed curve creates a path that may begin from any point and terminate at the same point. Thus, the simple curve may be open or closed.
Non-simple Curve
The non-simple curve is a type of curve that intersects with itself while changing its direction. Like simple curves, the non-simple curves can also be open or closed.
Algebraic Curve
A plane curve where a set of points are located on the Euclidean plane and are represented in terms of polynomials is called Algebraic Curve. The polynomial’s degree denotes the degree of the curve.
C = {(a, b) ∈ R2: P(a, b) = 0}
Transcendental Curve
This curve is different from the algebraic curve. The curve that does not represent the algebraic form, then it is called a transcendental curve. This curve might have many intersecting points together with the straight line. Hence, a transcendental curve is not a polynomial based on a and b.
Question: Identify the open and closed curves from the below figure.
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Frequently Asked Questions on Curved Line
Q1
What is a curved line?
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.
Q2
What are the examples of curved lines?
There are many examples of curved lines in the English alphabet, such as C, S and O.
Q3
Why do we use curved lines?
Curved lines are used mainly in the graphical representation of different types of functions.
Q4
What are the types of curves?
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 closed curve that we can see in alphabets.
Q5
What is a simple curve?
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, and “8” is the non-simple curve.
FAQs
Meaning of Curved Lines. A curved line is defined as a line that is not straight but is bent. Ideally, a straight line holds a zero curvature, whereas a curved line has a non-zero curvature and is continuous and smooth. Curves are prominent figures found everywhere around us.
What are the types of curved lines? ›
Usually, the curved lines are classified into two forms, that is, algebraic curves and transcendental curves.
What are curved line example things? ›
There are many examples of curved lines like the alphabet – C and S. Whereas the letters A, M, N, L, etc are not examples of curves since they can be formed by joining the line segments (or straight lines).
How to define a curved line? ›
A curved line is a type of line that is not straight and is bent. It is continuous and smooth, without any sharp turns. We know that the curvature of the straight line is zero. Hence, when the curvature of a line is not zero, then we call it a curved line.
What are the different types of curves? ›
Types of Curves
- Simple Curve. A curve that changes its direction, but it does not intersect itself. ...
- Non-Simple Curve. The non-simple curve is a type of curve that crosses its path. ...
- Open Curve. ...
- Closed Curve. ...
- Upward Curve. ...
- Downward Curve. ...
- Curved Line Images.
Here are the different types of mathematical curves:
- Upward Curve: A curve that turns in the upward direction is called an upward curve. ...
- Downward Curve: A curve that turns in the downward direction is called a downward curve since it is curved downward.
The different types of lines are as mentioned below:
- Straight line.
- Curved line.
- Horizontal line.
- Vertical line.
- Parallel lines.
- Intersecting lines.
- Perpendicular lines.
- Transversal line.
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. A parabola, one of the simplest curves, after (straight) lines.
What does a curved line indicate? ›
A curved line on a distance vs. time graph indicates that the object is accelerating (speeding up).
How to define a line? ›
A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Meaning of Curved Lines. A curved line is defined as a line that is not straight but is bent. Ideally, a straight line holds a zero curvature, whereas a curved line has a non-zero curvature and is continuous and smooth. Curves are prominent figures found everywhere around us.
What objects can be drawn using a curved line? ›
Curved lines can be found everywhere in our daily lives, from the curves of natural objects like leaves and flowers to the shapes of buildings and bridges.
What is a word for a curved line? ›
arc arch contour loop trajectory.
What is a simple curve example? ›
(a) Simple curve - A simple curve is a curve that does not cross itself and can be both open and closed. (b) Simple closed curve - In simple closed curves the shapes are closed by line segments or by a curved line. (c) Polygon - A simple closed curve made up of only line segments is called a polygon.
How to tell if a curve is simple? ›
A curve is simple if it does not cross itself.
What is a real life example of a curve? ›
For instance, a circle, parabola, hyperbola, and ellipse are all examples of curves. Some of the real-life examples include; the path of a roller coaster, the turning point of a railway track, paths of a road particularly in hilly areas, and many more.
What are curved lines called in math? ›
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. A parabola, one of the simplest curves, after (straight) lines.
What are the different types of curved surfaces? ›
Curved surfaces can be classified into two main types: Regular and Irregular. Regular curved surfaces such as spheres, cones, and cylinders are shaped by a continuously differentiable curve swept along another such curve.
What are curved lines in art? ›
Curved lines represent comfort and ease when the curves are gentle. When they are deep curves, they represent calmness and movement. Curve lines represent the fluid movement of water. They also communicate sensual messages because they remind us of the curves of the human body.
What are the different types of shape lines? ›
This document discusses the basic elements of portrait drawing - lines and shapes. It describes different types of lines including straight, curved, horizontal, vertical, diagonal, concave, convex, spiral, and wavy lines. Each line type conveys a different feeling or makes objects appear a certain way.
