Tangent continuity: No sharp angles.
Curvature continuity: No sharp radius changes.
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Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
Tangent circles are circles that touch one another without crossing. The distance between the centres of the circles must be equal to the difference or the sum of their radii.
A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point