preceding month I had read up the first three subjects, but,
being pressed for time, I gave up the idea of
takingphysiography. However, on the last night of the
examinations, I
had some conversation with one of the students as to the subjects
required for physiography. He said, 'You want a little knowledge
of everything in a
scientific way, and nothing much of anything.'
I determined to try, for 'nothing much of anything' suited me
exactly. I rose early next morning, and as soon as the shops
were open I went and bought a book on the subject, 'Outlines of
Physiography,' by W. Lawson, F.R.G.S. I read it all day, and at
night sat for the
examination. The results of my
examinations
were,
failure in
mathematics, but second class
advanced grade
certificates in all the others. I do not
attach any credit to
passing in physiography, but merely
relate the circumstance as
curiously showing what can be done by a good 'cram.'
"The
failure in
mathematics caused me to take the subject 'by the
horns,' to see what I could do with it. I began by going over
quadratic equations, and I gradually solved the whole of those
given in Todhunter's larger 'Algebra.' Then I re-read the
progressions, permutations, combinations; the binomial theorem,
with indices and surds; the logarithmic theorem and series,
converging and diverging. I got Todhunter's larger 'Plane
Trigonometry,' and read it, with the theorems contained in it;
then his 'Spherical Trigonometry;' his 'Analytical Geometry, of
Two Dimensions,' and 'Conics.' I next
obtained De Morgan's
'Differential and Integral Calculus,' then Woolhouse's, and
lastly, Todhunter's. I found this department of
mathematicsdifficult and perplexing to the last degree; but I mastered it
sufficiently to turn it to some
account. This last
mathematicalcourse represents eighteen months of hard work, and I often sat
up the whole night through. One result of the
application was a
permanent
injury to my sight.
"Wanting some object on which to apply my newly-acquired
mathematical knowledge, I determined to
construct an astronomical
telescope. I got Airy's 'Geometrical Optics,' and read it
through. Then I searched through all my English Mechanic (a
scientific paper that I take), and prepared for my work by
reading all the
literature on the subject that I could
obtain. I
bought two discs of glass, of 6 1/2 inches
diameter, and began to
grind them to a spherical curve 12 feet
radius. I got them
hollowed out, but failed in fining them through lack of skill.
This occurred six times in
succession; but at the seventh time
the
polish came up
beautifully, with scarcely a
scratch upon the
surface. Stopping my work one night, and it being
starlight, I
thought I would try the mirror on a star. I had a
wooden frame
ready for the purpose, which the
carpenter had made for me.
Judge of my surprise and delight when I found that the star disc
enlarged nearly in the same manner from each side of the focal
point, thus making it
extremelyprobable that I had accidentally
hit on a near approach to the parabola in the curve of my mirror.
And such proved to be the case. I have the mirror still, and its
performance is very good indeed.
"I went no further with this mirror, for fear or spoiling it. It
is very
slightly grey in the centre, but not
sufficiently so as
to
materiallyinjure its
performance. I mounted it in a
woodentube, placed it on a
wooden stand, and used it for a time thus
mounted; but getting
disgusted with the tremor and inconvenience
I had to put up with, I
resolved to
construct for it an iron
equatorial stand. I made my patterns, got them cast, turned and
fitted them myself, grinding all the
working parts together with
emery and oil, and fitted a tangent-screw
motion to drive the
instrument in right ascension. Now I found the
instrument a
pleasure to use; and I determined to add to it divided circles,
and to
accuratelyadjust it to the
meridian. I made my circles
of well-seasoned
mahogany, with slips of paper on their edges,
dividing them with my
drawinginstruments, and varnishing them to
keep out the wet. I shall never forget that sunny afternoon upon