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ON

! THE PRINCIPLES

OP

DEMONSTRATIVE MATHEMATICS

BY

THE Rev. PHILIP KELLAND, A.M., F.R. SS. L. & E.

PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF EDINBURGH,

LATE FELLOW AND TUTOR OF QUEENS' COLLEGE, CAMBRIDGE,

EDINBURGH:

ADAM AND CHARLES BLACK;

LONGMAN, BROWN, GREEN, AND LONGMANS, LONDON;

AND E. JOHNSON, CAMBRIDGE.

MDCCCXLIII.

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The following pages contain the substance of Lectures annually delivered to my classes in the University of Edinburgh. The necessity for confining myself within the narrowest possible limits, has compelled me to have recourse to a system of strict condensation, the effect of which is in some cases, I fear, too apparent. Due allowance being made for this circumstance, I trust that these Lectures will be found not altogether an unacceptable addition to our mathematical literature. The subjects discussed are of vital importance ; and, whatever may be thought of the manner of treating them, the simple exhibition of the prominent features of the different branches of the science, combined with the references I have given, will, it is hoped, be found useful to the more ad

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