Continuity expresses the property of being uninterrupted. Intuitively, a continuous line or function is one that can be graphed without having to lift the pencil from the paper; there are no missing points, no skipped segments and no disconnections....

Continuity In the decades bracketing the turn of the twentieth century, the real number system was dubbed the arithmetic continuum because it was held that this number system is completely adequate for the analytic representation of all types of...

Geometrical or geometric continuity, was a concept of geometry primarily applied to the conic sections and related shapes by mathematicians such as Leibniz, Kepler, and Poncelet. The concept was an early attempt at describing, through geometry rather...