# What is plane curve and example?

## What is plane curve and example?

In mathematics, a plane curve is a curve in a plane that may be either a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves.

### What is a plane curve called?

Some of the most common open curves are the line, parabola, and hyperbola, and some of the most common closed curves are the circle and ellipse.

What is a plane projective curve?

A projective algebraic plane curve is the zero set in a projective plane of a homogeneous polynomial in three variables. An affine algebraic plane curve can be completed in a projective algebraic plane curve by homogenizing its defining polynomial.

How many types of plane curves are there?

Question 3: What are the types of curves? Answer: The different types of curves are Simple curve, Closed curve, Simple closed curve, Algebraic and Transcendental Curve.

## What is a curve in geometry?

curve, In mathematics, an abstract term used to describe the path of a continuously moving point (see continuity). Such a path is usually generated by an equation. The word can also apply to a straight line or to a series of line segments linked end to end.

### What is the difference between plane curve and space curve?

A curve which may pass through any region of three- dimensional space, as contrasted to a plane curve which must lie on a single plane.

What are the 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.
• Area Between the curves.

What are the different type of curves?

## How do you identify curves?

A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once.

### What are the different types of curves?

How do you show a curve is a plane curve?

Another way to view it: let L(u)=a∙u, and put f(t)=L(r(t)). Then f′(t)=a∙r′(t)=0, which shows that L is constant along the curve.

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