## 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.