Adsum, nugator, suge! is addressed to a student who continues talking after the lecture has commenced: .... Graduatus sum! nego applies to one who declined to subscribe for an M. A. degree. --DE MORGAN, AUGUSTUS. _Budget of Paradoxes (London, 1872), p. 82._ =948.= Descartes is the completest type which history presents of the purely mathematical type of mind--that in which the tendencies produced by mathematical cultivation reign unbalanced and supreme.--MILL, J. S. _An Examination of Sir W. Hamilton’s Philosophy (London, 1878), p. 626._ =949.= To _Descartes_, the great philosopher of the 17th century, is due the undying credit of having removed the bann which until then rested upon geometry. The _analytical geometry_, as Descartes’ method was called, soon led to an abundance of new theorems and principles, which far transcended everything that ever could have been reached upon the path pursued by the ancients.--HANKEL, H. _Die Entwickelung der Mathematik in den letzten Jahrhunderten (Tübingen, 1884), p. 10._ =950.= [The application of algebra has] far more than any of his metaphysical speculations, immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.--MILL, J. S. _An Examination of Sir W. Hamilton’s Philosophy (London, 1878), p. 617._ =951.= ... καί φασιν ὅτι Πτολεμαῖος ἤρετό ποτε αύτόν [Εὐκλειδην], εἴ τίς ἐστιν περὶ γεωμετρίαν ὁδὸς συντομωτέρα τῆς στοιχειώσεως· ὁδὲ ἀπεκρὶνατο μὴ εἶναι βασιλικὴν ἀτραπὸν ἐπὶ γεωμετρίαν. [ ... they say that Ptolemy once asked him (Euclid) whether there was in geometry no shorter way than that of the elements, and he replied, “There is no royal road to geometry.”]--PROCLUS. _(Edition Friedlein, 1873), Prol. II, 39._ =952.= Someone who had begun to read geometry with Euclid, when he had learned the first proposition, asked Euclid, “But what shall I get by learning these things?” whereupon Euclid called his slave and said, “Give him three-pence, since he must make gain out of what he learns.”--STOBÆUS. _(Edition Wachsmuth, 1884), Ecl. II._ =953.= The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid.[5]--DE MORGAN, A. _Smith’s Dictionary of Greek and Roman Biology and Mythology (London, 1902), Article, “Eucleides.”_ [5] Riccardi’s Bibliografia Euclidea (Bologna, 1887), lists nearly two thousand editions.