“The liberation from undergraduate study left me at liberty generally to pursue my own course (except so far as it was influenced by the preparation for fellowship examination), and also left me at liberty to earn more money, in the way usual with the graduates, by taking undergraduate pupils.  Mr Peacock recommended me to take only four, which occupied me four hours every day, and for each of them I received 20 guineas each term.  My first pupils, for the Lent and Easter terms, were Williamson (afterwards Head Master of Westminster School), James Parker (afterwards Q.C. and Vice-Chancellor), Bissett, and Clinton of Caius.  To all these I had been engaged before taking my B.A. degree.

“I kept up classical subjects.  I have a set of notes on the [Greek:  Ploutos] and [Greek:  Nephelai] of Aristophanes, finished on Mar. 15th, 1823, and I began my daily writing of Latin as usual on Feb. 8th.  In mathematics I worked very hard at Lunar and Planetary Theories.  I have two Ms. books of Lunar Theory to the 5th order of small quantities, which however answered no purpose except that of making me perfectly familiar with that subject.  I worked well, upon my quires, the figure of Saturn supposed homogeneous as affected by the attraction of his ring, and the figure of the Earth as heterogeneous, and the Calculus of Variations.  I think it was now that I wrote a Ms. on constrained motion.

“On Mar. 17th, 1823, I was elected Fellow of the Cambridge Philosophical Society.  On May 9th a cast of my head was taken for Dr Elliotson, an active phrenologist, by Deville, a tradesman in the Strand.

“I had long thought that I should like to visit Scotland, and on my once saying so to my mother, she (who had a most kindly recollection of Alnwick) said in a few words that she thought I could not do better.  I had therefore for some time past fully determined that as soon as I had sufficient spare time and money enough I would go to Scotland.  The interval between the end of Easter Term and the usual beginning with pupils in the Long Vacation offered sufficient time, and I had now earned a little money, and I therefore determined to go, and invited my sister to accompany me.  I had no private introductions, except one from James Parker to Mr Reach, a writer of Inverness:  some which Drinkwater sent being too late.  On May 20th we went by coach to Stamford; thence by Pontefract and Oulton to York, where I saw the Cathedral, which then disappointed me, but I suppose that we were tired with the night journey.  Then by Newcastle to Alnwick, where we stopped for the day to see my birthplace.  On May 24th to Edinburgh.  On this journey I remember well the stone walls between the fields, the place (in Yorkshire) where for the first time in my life I saw rock, the Hambleton, Kyloe, Cheviot and Pentland Hills, Arthur’s Seat, but still more strikingly the revolving Inch Keith Light.  At Edinburgh I hired a horse and gig for our journey