THE PYTHAGORIC AND PLATONIC DOGMAS RESPECTING NUMBERS AND
IDEAS ARE UNFOLDED FROM ANTIENT SOURCES.

TO WHICH IS ADDED,

A DISSERTATION

ON

NULLITIES AND DIVERGING SERIES;

IN WHICH

THE CONCLUSIONS OF THE GREATEST MODERN MATHEMATICIANS ON THIS SUBJECT ARE
SHOWN TO BE ERRONEOUS, THE NATURE OF INFINITELY SMALL QUANTITIES IS

EXPLAINED, AND THE TO 'EN, OR THE ONE OF THE PYTHAGORÆANS

AND PLATONISTS, SO OFTEN ALLUDED TO BY ARISTOTLE

IN THIS WORK, IS ELUCIDATED.

BY THOMAS TAYLOR.

Ώσπερ τινα αθανατον και πατρώον κλήρον διαγωνιζω τοις
μεταγενέστεροις διαφυλάξαι τα στοιχεια των αρίτων και αλήθειας τους κανονας, ταυτα
εις κοινον οφελος εν γραμμασι καταθέμενος•

LONDON:

PRINTED FOR THE AUTHOR,

BY DAVIS, WILKS, AND TAYLOR, CHANCERY-LANE,

AND SOLD BY J. WHITE, FLEET-STREET; J. JOHNSON, ST. PAUL'S CHURCH-YARD;
J. CUTHELL, HOLBORN; AND E. JEFFREY, PALL-MALL.

1801.