Influence of Fisher and Erasmus. Migration of Oxonians to Cambridge. The reformation was wholly the work of Cambridge divines. The Elizabethan statutes of 1570. Subjection of the university to the crown. The university organized on an ecclesiastical basis The social life and amusements of the undergraduates Prevalent theological views at Cambridge, 1600-1858. Prevalent political views at Cambridge, 1600-1858. Page 38, lines 3 and 5. For Bulialdus read Bullialdus. Page 91, line 12. For seventeenth read eighteenth. Page 92, line 4 from end, and page 95, line 5 from end. For Lahire read La Hire. Page 115, line 12. For His read Cavendish's. Page 183, line 20. For T. Bowstead read Joseph Bowstead. xvii Page 7, line 26. Page 7, line 28. ERRATA ET ADDENDA. Before a parish insert the rolls of a manor or in. Page 7, footnote. Dele by John Norfolk, and also dele in 1445 and reissued. Page 28, lines 20 and 21. For some 20,000 logarithms read the logarithms of 70,000 numbers. Page 40, line 26. For Dutch read German. Page 40, line 28. After employed insert in England; it had been first introduced by Rahn at Zurich in 1659. Page 41, footnote, line 2. For 1833 read 1883. Page 49, line 26. A life of Morland by Halliwell was published at Cambridge in 1838. Page 55, line 25. Page 57, line 11. Page 62, line 22. Page 79, line 18. For 1673 read 1670. For m(+1) n read (m+1) n. For on one or two occasions read again in 1701. and 18. For 1666 read 1668, and for 1667 read 1669. For Halley read Crosthwait and Sharp. An incom plete edition by Halley was published in 1712. Page 80, footnote, Page 81, line 26. Page 83, line 24. Page 93, line 17. Page 107, line 9. line 1. For W. H. Monk read J. H. Monk. For 1703 read 1701. For The whole read Most of the. and 16. For 1765......1753 read 1758. The Francis Wollaston here alluded to was not educated at Cambridge. Page 129, line 14. Page 135, line 27. For are read is. Page 138, footnote, line 12. For 1848 read 1868. Page 157, footnote, Page 163, line 3. Page 183, line 20. Page 190, line 26. line 3. For expelled read refused the degree. For 1805 read 1796. For T. Bowstead read A. Thurtell. After voce insert These reforms were introduced in 1763 by Richard Watson of Trinity who was moderator in that year. For dialectis read dialecticis. Page 194, line 15. Page 227, line 4. For By the beginning read Towards the end. Page 229, footnote 1, line 3. For Deinfle read Denifle. Page 249, line 3. Until 1700 the average number of resident undergraduates in any year was apparently much more than four times. the number of those who took the B.A. degree in that year. CHAPTER I. MEDIAEVAL MATHEMATICS.1 THE subject of this chapter is a sketch of the nature and extent of the mathematics read at Cambridge in the middle ages. The external conditions under which it was carried on are briefly described in the first section of chapter VIII. It is only after considerable hesitation that I have not incorporated that section in this chapter; but I have so far isolated it as to render it possible, for any who may be ignorant of the system of education in a medieval university, to read it if they feel so inclined, before commencing the history of the development of mathematics at Cambridge. The period with which I am concerned in this chapter begins towards the end of the twelfth century, and ends with the year 1535. For the history during most of this time of mathematics at Cambridge we are obliged to rely largely on inferences from the condition of other universities. I shall therefore discuss it very briefly referring the reader to the works mentioned below' for further details. 1 Besides the authorities alluded to in the various foot-notes I am indebted for some of the materials for this chapter to Die Mathematik auf den Universitäten des Mittelalters by H. Suter, Zurich, 1887; Die Geschichte des mathematischen Unterrichtes im deutschen Mittelalter bis 1525, by M. S. Günther, Berlin, 1887; and Beiträge zur Kenntniss der Mathematik des Mittelalters, by H. Weissenborn, Berlin, 1888. Throughout the greater part of this period a student usually proceeded in the faculty of arts; and in that faculty he spent the first four years on the study of the subjects of the trivium, and the next three years on those of the quadrivium. The trivium comprised Latin grammar, logic, and rhetoric; and I have described in chapter VIII. both how they were taught and the manner in which proficiency in them was tested. It must be remembered that students while studying the trivium were treated exactly like school-boys, and regarded in the same light as are the boys of a leading public school at the present time. The title of bachelor was A bachelor occupied a given at the end of this course. position analogous to that of an undergraduate now-a-days. He was required to spend three years in the study of the quadrivium, the subjects of which were mathematics and science. These were divided in the Pythagorean manner into numbers absolute or arithmetic, numbers applied or music, magnitudes at rest or geometry, and magnitudes in motion or astronomy. There was however no test that a student knew anything of the four subjects last named other than his declaration to that effect, and in practice most bachelors left them unread. The degree of master was given at the end of this course. The quadrivium during the twelfth and the first half of the thirteenth century, if studied at all, probably meant about as much science as was to be found in the pages of Boethius, Cassiodorus, and Isidorus. The extent of this is briefly described in the following paragraphs. The term arithmetic was used in the Greek sense, and meant the study of the properties of numbers; and particularly of ratio, proportion, fractions, and polygonal numbers. It did not include the art of practical calculation, which was generally performed on an abacus; and though symbols were employed to express the result of any numerical computation they were not used in determining it. The geometry was studied in the text-books either of |