"Of the Smith's Prize I was officially an Examiner: and I determined to begin with—-what had never been done before—making the examination public, by printing the papers of questions. The Prize is the highest Mathematical honour in the University: the competitors are incepting Bachelors of Arts after the examination for that Degree. My day of examination (apparently) was Jan. 21st. The candidates were Turner, Cankrein, Cleasby, and Mr Gordon. The first three had been my private pupils: Mr Gordon was a Fellow-commoner of St Peter's College, and had just passed the B.A. examination as Senior Wrangler, Turner being second. My situation as Examiner was rather a delicate one, and the more so as, when I came to examine the papers of answers, Turner appeared distinctly the first. Late at night I carried the papers to Whewell's rooms, and he on inspection agreed with me. The other examiners (Professors Lax and Woodhouse, Lowndean and Plumian Professors) generally supported me: and Turner had the honour of First Smith's Prize.
"On Jan. 30th my mother wrote, asking if I could see Cropley in London, where he was imprisoned for contempt of Chancery. I attended the meeting of the Board of Longitude on Feb. 1st, and afterwards visited Cropley in the Fleet Prison. He died there, some time later. It was by the sale of his effects under execution that my father's debt was paid.
"On Feb. 15th I communicated to the Royal Society a Paper on the correction of the Solar Tables from South's observations. I believe that I had alluded to this at the February meeting of the Board of Longitude, and that in consequence Mr Pond, the Astronomer Royal, had been requested to prepare the errors of the Sun's place from the Greenwich observations: which were supplied some months later. With the exception of South's Solar Errors, and some investigations about dipping-needles, I do not find anything going on but matters connected with my approaching lectures. There are bridges, trusses, and other mechanical matters, theoretical and practical, without end. Several tradesmen in Cambridge and London were well employed. On Feb. 13th I have a letter from Cubitt about groins: I remember studying those of the Custom-house and other places. On Feb. 20th my Syllabus of Lectures was finished: this in subsequent years was greatly improved. I applied to the Royal Society for the loan of Huyghens's object-glass, but they declined to lend it. About this time I find observations of the spectrum of Sirius.
"There had been no lectures on Experimental Philosophy (Mechanics, Hydrostatics, Optics) for many years. The University in general, I believe, looked with great satisfaction to my vigorous beginning: still there was considerable difficulty about it. There was no understood term for the Lectures: no understood hour of the day: no understood lecture room. I began this year in the Lent Term, but in all subsequent years I took the Easter Term, mainly for the chance of sunlight for the optical experiments, which I soon made important. I could get no room but a private or retiring room (not a regular lecture room) in the buildings at the old Botanic Garden: in following years I had the room under the University Library. The Lectures commenced on some day in February 1827: I think that the number who attended them was about 64. I remember very well that the matter which I had prepared as an Introductory Lecture did not last above half the time that I had expected, but I managed very well to fill up the hour. On another occasion I was so ill-prepared that I had contemplated giving notice that I was unable to complete the hour's lecture, but I saw in the front row some strangers, introduced by some of my regular attendants, very busy in taking notes, and as it was evident that a break-down now would not do, I silently exerted myself to think of something, and made a very good lecture.
"On Mar. 1st, as official examiner, I received notices from 14 candidates for Bell's Scholarships, and prepared my Paper of questions. I do not remember my day of examination; but I had all the answers to all the examiners' questions in my hands, when on Mar. 27th I received notice that my father had died the preceding evening. This stopped my Lectures: they were concluded in the next term. I think that I had only Mechanics and imperfect Optics this term, no Hydrostatics; and that the resumed Lectures were principally Optical. They terminated about May 14th.
"With my brother I at once went to Bury to attend my father's funeral. He was buried on Mar. 31st, 1827, in the churchyard of Little Whelnetham, on the north side of the church. Shortly afterwards I went to London, and on Apr. 5th I attended a meeting of the Board of Longitude, at which Herschel produced a Paper regarding improvements of the Nautical Almanac. Herschel and I were in fact the leaders of the reforming party in the Board of Longitude: Dr Young the Secretary resisted change as much as possible. After the meeting I went to Cambridge. I find then calculations of achromatic eye-pieces for a very nice model with silk threads of various colours which I made with my own hands for my optical lectures.
"On Apr. 7th Herschel wrote to me that the Professorship held by Dr Brinkley (then appointed Bishop of Cloyne) at Dublin would be vacant, and recommended it to my notice, and sent me some introductions. I reached Dublin on Apr. 15th, where I was received with great kindness by Dr Brinkley and Dr MacDonnell (afterwards Provost). I there met the then Provost Dr Bartholomew Lloyd, Dr Lardner, Mr Hamilton (afterwards Sir W. R. Hamilton) and others. In a few days I found that they greatly desired to appoint Hamilton if possible (they did in fact overcome some difficulties and appoint him in a few months), and that they would not make such an augmentation as would induce me to offer myself as a candidate, and I withdrew. I have always remembered with gratitude Dr MacDonnell's conduct, in carefully putting me on a fair footing in this matter. I returned by Holyhead, and arrived at Birmingham on Apr. 23rd. While waiting there and looking over some papers relating to the spherical aberration of eye-pieces, in which I had been stopped some time by a geometrical difficulty, I did in the coffee-room of a hotel overcome the difficulty; and this was the foundation of a capital paper on the Spherical Aberration of Eye-pieces. This paper was afterwards presented to the Cambridge Philosophical Society.
"About this time a circumstance occurred of a disagreeable nature, which however did not much disconcert me. Mr Ivory, who had a good many years before made himself favourably known as a mathematician, especially by his acquaintance with Laplace's peculiar analysis, had adopted (as not unfrequently happens) some singular hydrostatical theories. In my last Paper on the Figure of the Earth, I had said that I could not receive one of his equations. In the Philosophical Magazine of May he attacked me for this with great heat. On May 8th I wrote an answer, and I think it soon became known that I was not to be attacked with impunity.
"Long before this time there had been some proposal about an excursion to the Lake District with my sister, and I now arranged to carry it out. On May 23rd I went to Bury and on to Playford: while there I sketched the Cumberland excursion. On June 5th I went to London, I believe to the Visitation of the Greenwich Observatory to which I was invited. I also attended the meeting of the Board of Longitude. I think it was here that Pond's Errors of the Sun's place in the Nautical Almanac from Greenwich Observations were produced. On June 7th I went by coach to Rugby, where I met my sister, and we travelled to Edensor. We made a number of excursions in Derbyshire, and then passed on by Penrith to Keswick, where we arrived on June 22nd. From Keswick we made many excursions in the Lake District, visited Mr Southey and Mr Wordsworth, descended a coal mine at Whitehaven, and returned to Edensor by the way of Ambleside, Kendal, and Manchester. With sundry excursions in Derbyshire our trip ended, and we returned to Cambridge on the 21st July.
"During this Long Vacation I had one private pupil, Crawford, the only pupil this year, and the last that I ever had. At this time there is on my papers an infinity of optical investigations: also a plan of an eye-piece with a concave lens to destroy certain aberrations. On Aug. 20th I went to Woodford to see Messrs Gilbert's optical works. From Aug. 13th I had been preparing for the discussion of the Greenwich Solar Errors, and I had a man at work in my rooms, engaged on the calculation of the Errors. I wrote to Bouvard at Paris for observations of the sun, but he recommended me to wait for the Tables which Bessel was preparing. I was busy too about my Lectures: on Sept. 29th I have a set of plans of printing presses from Hansard the printer (who in a visit to Cambridge had found me making enquiries about them), and I corresponded with Messrs Gilbert about optical constructions, and with W. and S. Jones, Eastons, and others about pumps, hydraulic rams, &c. On Sept. 25th occurred a very magnificent Aurora Borealis.