“I had arranged to take a party of pupils to Keswick, and to take my brother there.  Mr Clarkson had provided me with introductions to Mr Southey and Mr Wordsworth.  On Wednesday, June 29th, 1825, we started, and went by Leicester, Sheffield, Leeds, and Kendal, to Keswick, calling at Edensor on the way.  My pupils were Cleasby, Marshman, Clinton, Wigram, Tottenham, and M. Smith.  At Keswick I passed three months very happily.  I saw Mr Southey’s family frequently, and Mr Wordsworth’s occasionally.  By continual excursions in the neighbourhood, and by a few excursions to places as distant as Bowness, Calder Bridge, &c. (always climbing the intermediate mountains), I became well acquainted with almost the whole of that beautiful country, excepting some of the S. W. dales.  A geological hammer and a mountain barometer were very interesting companions.  I had plenty of work with my pupils:  I worked a little Lunar Theory, a little of Laplace’s Equations, something of the Figure of the Earth, and I wrote out very carefully my Trigonometry for the Encyclopaedia Metropolitana.  I read a little of Machiavelli, and various books which I borrowed of Mr Southey.  On Friday, Sept. 30th, my brother and I left for Kendal, and after a stay of a few days at Edensor, arrived at Cambridge on Oct. 11th.

“On Oct. 21st my Lectures to the Junior Sophs began, 39 names, lasting to Dec. 13th.  Those to the Senior Sophs, 16 names, Oct 29th to Dec. 10th.  I also examined Questionists as last year.  I have notes about a Paper on the connection of impact and pressure, read at the Philosophical Society on Nov. 14th, but not printed, dipping-needle problems, curve described round three centres of force, barometer observations, theory of the Figure of the Earth with variable density, and effect on the Moon, correction to the Madras pendulum, wedge with friction, spots seen in my eyes, density of rays near a caustic.  In this term I accomplished the preparation of a volume of Mathematical Tracts on subjects which, either from their absolute deficiency in the University or from the unreadable form in which they had been presented, appeared to be wanted.  The subjects of my Tracts were, Lunar Theory (begun Oct. 26th, finished Nov. 1st), Figure of the Earth (1st part finished Nov. 18th), Precession and Nutation (my old MS. put in order), and the Calculus of Variations.  I applied, as is frequently done, to the Syndicate of the University Press for assistance in publishing the work; and they agreed to give me paper and printing for 500 copies.  This notice was received from Professor Turton on Nov. 29th, 1825.  It was probably also in this year that I drew up an imperfect ‘Review’ of Coddington’s Optics, a work which deserved severe censure:  my review was never finished.

“In the Long Vacation at Keswick I had six pupils at L42 each.  In the October term I had Marshman and Ogilby at L105 for three terms, and Dobbs at L75 for three terms.  I had, at Mr Peacock’s suggestion, raised my rate from 60 to 100 guineas for three terms:  this prevented some from applying to me, and induced some to withdraw who had been connected with me:  but it did me no real hurt, for engrossment by pupils is the worst of all things that can happen to a man who hopes to distinguish himself.  On Dec. 17th I went to Bury, and returned to Cambridge on Jan. 30th, 1826.