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DISCRETE

Volume 8 · 162 words · 1860 Edition

r Disjunct Proportion is when the ratio of two or more pairs of numbers or quantities is the same, but there is not the same proportion between all the four numbers. Thus, if the numbers $3 : 6 :: 8 : 16$ be considered, the ratio between $3 : 6$ is the same as that between $8 : 16$, and therefore the numbers are proportional; but it is only discretely or disjunctly, for $3$ is not to $6$ as $6$ to $8$; that is, the proportion is broken off between $8$ and $3$, and is not continued as in the following continual proportions, $3 : 6 :: 12 : 24$.

Discrete Quantity is such as is not continued and joined together in its parts. Such, for instance, is any number; for its parts, being distinct units, cannot be united into one continuous or continued quantity; for in a continuum there are no actual determinate parts before division, but they are potentially infinite.