Five _Lectureships in Mathematics_ were created in 1882 under the directions of Royal Commissioners, and subsequently two others (now reduced to one other) tenable, if desired, with one of the above, were founded. The successive holders have been: Joseph John Thomson, 1884; Andrew Russell Forsyth, 1884-1895; William Herrick Macaulay, 1884-1887; Richard Tetley Glazebrook, 1884-1898; Ernest William Hobson, 1884-1910; Joseph Larmor, 1885-1903; Richard Pendlebury, 1888-1901; Henry Frederick Baker, 1895-1914; Augustus Edward Hough Love, 1898-1899; Hector Munro Macdonald, 1899-1904; Herbert William Richmond, 1901 _et seq._; George Ballard Mathews, 1903-1905; James Hopwood Jeans, 1904-1906, 1910-1912; John Gaston Leathem, 1905-1909; Robert Alfred Herman, 1906 _et seq._; Edmund Taylor Whittaker, 1905-1906; Thomas James I'Anson Bromwich, 1909 _et seq._; John Hilton Grace, 1901 _et seq._; Godfrey Harold Hardy, 1914 _et seq._; Arthur Berry, 1914 _et seq._ [Footnote 34: The greater part of this chapter formerly appeared in my _Mathematical Recreations and Essays_, but a few paragraphs on "coaching" have been taken from a paper which I wrote for distribution to those who attended the International Congress of Mathematicians held in England in 1912. The subject is treated in Whewell's _Liberal Education_, Cambridge, three parts, 1845, 1850, 1853; Wordsworth's _Scholae Academicae_, Cambridge, 1877; my own _Origin and History of the Mathematical Tripos_, Cambridge, 1880; Glaisher's Presidential Address to the London Mathematical Society, _Transactions_, vol. XVIII, 1886, pp. 4-38; and my _History of the Study of Mathematics at Cambridge_, Cambridge, 1889.] [Footnote 35: _Budget of Paradoxes_, by A. De Morgan, London, 1872, p. 305.] [Footnote 36: See grace of 25 October 1680.] [Footnote 37: _Ex. gr._ see De la Pryme's account of his graduation in 1694, _Surtees Society_, vol. LIV, 1870, p. 32.] [Footnote 38: W. Reneu, in his letters of 1708-10 describing the course for the B.A. degree, makes no mention of the senate-house examination, and I think it is a reasonable inference that it had not then been established.] [Footnote 39: _Memoirs of Richard Cumberland_, London, 1806, pp. 78-79.] [Footnote 40: Quoted by C. Wordsworth, _Scholae Academicae_, Cambridge, 1877, pp. 30-31.] [Footnote 41: _Anecdotes of the Life of Richard Watson_, London, 1817, pp. 18-19.] [Footnote 42: See grace of 25 October 1883; and the _Cambridge University Reporter_, 23 October 1883.] [Footnote 43: See grace of 11 February 1909, and the _Cambridge University Reporter_, 8 December 1908.] [Footnote 44: _The Works of J. Jebb_, London, 1787, vol. II, pp. 290-297.] [Footnote 45: "Emulation, which is the principle upon which the plan is constructed." _The Works of J. Jebb_, London, 1787, vol. III, p. 261.] [Footnote 46: _The Works of J. Jebb_, London, 1787, vol. III, p. 272.] [Footnote 47: See graces of 5 July 1773, and of 17 February 1774.]