ain to consult the sweet face which beamed
from beneath his blotting-paper; and he narrowly escaped expulsion from
the Senate-house on the charge of 'cribbing.' Certainly he took a mean
advantage of his fellow-sufferers, if this were the identical
photograph, for it portrays a most inspiring face. Forgive us, lenient
reader; one moment! There--thank you--we have done. And now we will
proceed to disclose the researches and original problems which the MS.
contains.

Evidently the collegiate authorities were not slow in recognising the
talents of the assiduous student, and elected her without much delay to
a Professorship of Girtham. In this capacity the learned lady delivered
several lectures, of which the second MS. contains the first of the
series.

PAPER II.

LECTURE ON THE THEORY OF BRAIN WAVES AND THE TRANSMIGRATION
AND POTENTIALITY OF MENTAL FORCES.

Professors and Students of the University of Girtham, my Lords, Ladies,
and Gentlemen,--I have the honour to bring before you this evening some
original conceptions and discoveries which have been formulated by me
during my researches in the boundless field of mathematical knowledge;
and though you may be inclined at first to pronounce them as somewhat
hastily conceived hypotheses, I hope to be able to demonstrate the
actual truth of the propositions which I shall now endeavour to
enunciate. It is with some feelings of diffidence that I stand before so
august an assembly as the present; and if I were not actually convinced
of the accuracy of my calculations, I should never have presumed to
appear before you in the character of a lecturer. But '_Magna est
veritas, et praevalebit_.' I cast aside maiden timidity; I clothe myself
in the professorial robe which you have bestowed upon me, and sacrifice
my own feelings on the altar of Truth.

I have been engaged, as you are doubtless aware, for some years in the
pursuit of mathematical research, exploring the mines of science, which
have of late been worked very persistently, but often, like the black
diamond mines, at a loss. Concurrently with these researches, I have
speculated on the great social problems which perplex the minds of men,
both individually and collectively. And I have come to the conclusion
that the same laws hold good in both spheres of work; that methods of
mathematical procedure are applicable to the grand social problems of
the day and to the regulation of the mutual relations which exist
b