Continuous Curve

A continuous curve is a smooth, unbroken line that is drawn without any gaps, jumps, or sharp corners. It represents a path or shape where every point on the curve smoothly connects to the next, making it impossible to break the line into separate parts. In mathematics and graphics, continuity ensures that the curve flows seamlessly, allowing for smooth transitions, which is important in designing, modeling, and analyzing shapes and functions. Think of it like drawing with a pencil without lifting it off the paper—the line moves smoothly from start to finish.