AT THE UNIVERSITY’ PRESS.
60 6
NOTES AND REFERENCES.
I may refer also to the Memoir, Sir It. S! Ball “ On the theory of the Content,”
Trans. B. Irish Acad. vol. xxix. (1889), pp. 123—182, where the same difficulty is
discussed. The opening sentences are—“In that theory [Non-Euclidian Geometry] it
seems as if we try to replace our ordinary notion of distance between two points by
the logarithm of a certain anharmonic ratio. But this ratio itself involves the notion
of distance measured in the ordinary way. How then can we supersede the old
notion of distance by the Non-Euclidian notion, inasmuch as the very definition of
the latter involves the former ? ”
An extensive list • of papers is given, Halsted, Bibliography of Hyper-Space and of
Non-Euclidean Geometry, Amer. Math. Jour. t. I. (1878), 'pp. 261—276 and 384—385,
also t. ii. (1879), pp. 65—70.
END OF YOL. II.
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