In synthetic curves, second-order continuity yields
A)a position continuous curve
B)a slope continuous curve
C)a curvature continuous curve
D)none of the above

Question

Quizplus · Accepted Answer

Second-order continuity, often denoted as $C^2$ continuity, ensures that not only the position and the first derivative (slope) but also the second derivative (curvature) of a curve are continuous across the boundary of curve segments. This means there are no abrupt changes in curvature, leading to a smooth transition.

In Synthetic Curves, Second-Order Continuity Yields