(*Analytica*), the science and use of analysis. The great advantage of the modern mathematics above the ancient is in point of analytics.

Pappus, in the preface to his seventh book of Mathematical Collections, enumerates the authors on the ancient analytics; being Euclid, in his *Data* and *Porisms*; Apollonius, *de Sectione Rationis*, and in his *Conics*; Arithaeus, *de Locis Solidis*; and Eratosthenes, *de Medii Proportionalibus*. But the ancient analytics were very different from the modern.

To the modern analytics principally belongs algebra; an historical account of which, with the several authors therein, see under the article ALGEBRA.