ou of the necessity of retaining my
order and numbering, and my method of treating Straight
Lines, Angles, Right Angles, and (most especially)
Parallels. Leave me these untouched, and I shall look on
with great contentment while other changes are made--while
my proofs are abridged and improved--while alternative
proofs are appended to mine--and while new Problems and
Theorems are interpolated. In all these matters my Manual is
capable of almost unlimited improvement."
In Appendices I. and II. Mr. Dodgson quotes the opinions of two
eminent mathematical teachers, Mr. Todhunter and Professor De Morgan,
in support of his argument.
Before leaving this subject I should like to refer to a very novel use
of Mr. Dodgson's book--its employment in a school. Mr. G. Hopkins,
Mathematical Master in the High School at Manchester, U.S., and
himself the author of a "Manual of Plane Geometry," has so employed it
in a class of boys aged from fourteen or fifteen upwards. He first
called their attention to some of the more prominent difficulties
relating to the question of Parallels, put a copy of Euclid in their
hands, and let them see his treatment of them, and after some
discussion placed before them Mr. Dodgson's "Euclid and His Modern
Rivals" and "New Theory of Parallels."
Perhaps it is the fact that American boys are sharper than English,
but at any rate the youngsters are reported to have read the two books
with an earnestness and a persistency that were as gratifying to their
instructor as they were complimentary to Mr. Dodgson.
In June of the same year an entry in the Diary refers to a proposal in
Convocation to allow the University Club to have a cricket-ground in
the Parks. This had been proposed in 1867, and then rejected. Mr.
Dodgson sent round to the Common Rooms copies of a poem on "The
Deserted Parks," which had been published by Messrs. Parker in 1867,
and which was afterwards included in "Notes by an Oxford Chiel." I
quote the first few lines:--
Museum! loveliest building of the plain
Where Cherwell winds towards the distant main;
How often have I loitered o'er thy green,
Where humble happiness endeared the scene!
How often have I paused on every charm,--
The rustic couple walking arm in arm,
The groups of trees, with seats beneath the shade
For prattling babes and whisp'ring lovers made,
The never-failing
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