Analytica, the science and use of analy- sis. The great advantage of the modern mathe- matics above the ancient is in point of analytics.

Pappus, in the preface to his seventh book of Mathe- matical Collections, enumerates the authors on the an- cient analytics; being Euclid, in his Data and Porif- erata; Apollonius, de Sectione Rationis; and in his Co- nics; Arithaeus, de Locis Solidis; and Eratosthenes, de Medis Proportionalibus. But the ancient analytics were very different from the modern.

To the modern analytics principally belong algebra;