Con*tin"u*ous (?), a. [L. continuus, fr. continere to hold together. See Continent.] 1. Without break, cessation, or interruption; without intervening space or time; uninterrupted; unbroken; continual; unceasing; constant; continued; protracted; extended; as, a continuous line of railroad; a continuous current of electricity.

he can hear its continuous murmur.
Longfellow.

2. (Bot.) Not deviating or varying from uninformity; not interrupted; not joined or articulated.

Syn. -- Continuous, Continual. Continuous is the stronger word, and denotes that the continuity or union of parts is absolute and uninterrupted; as, a continuous sheet of ice; a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England." Continual, in most cases, marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak of continual showers, implying a repetition with occasional interruptions; we speak of a person as liable to continual calls, or as subject to continual applications for aid, etc. See Constant.

• Without break, cessation, or interruption; without intervening space or time; uninterrupted; unbroken; continual; unceasing; constant; continued; protracted; extended; as, a continuous line of railroad; a continuous current of electricity.
       Quotations
       *He can hear its continuous murmur. - Longfellow.
  
• (Botany): Not deviating or varying from uninformity; not interrupted; not joined or articulated.
  
• Mathematical property of a map with a formal \epsilon-\delta-definition as follows: Given I,D\subset\mathbb{R} (I and D are subsets of the Real Numbers), continuity of f(x):I \to D (f(x) maps the interval I to the interval D) at c\in\mathbb{R} means, for all \varepsilon&0, there exists a \delta&0 such that |x-c| and x\in I implies |f(x)-f(c)|.