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TRILINEAR CO-ORDINATES.

Cambridge:

PRINTED BY C. J. CLAY, M. A.

AT THE UNIVERSITY PRESS.

ON

TRILINEAR CO-ORDINATES,

THE METHOD OF RECIPROCAL POLARS,

AND THE THEORY OF PROJECTIONS.

BY THE REV.

Norman Macleod

N. M. FERRERS, M. A.

FELLOW AND MATHEMATICAL LECTURER

OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE.

C MACMILLAN AND CO.

Cambridge:

AND 23, HENRIETTA STREET, COVENT GARDEN,

London.
1861.

1863, March 30.

$1.67 Gray Fund.

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PREFACE.

THE prominence which the modern geometrical methods have recently acquired in the studies of the University of Cambridge, appears to justify the publication of a treatise devoted exclusively to these branches of Mathematics. This remark applies more especially to the method of Trilinear Co-ordinates, which forms the subject of the greater part of the following work. My object in writing on this subject has mainly been to place it on a basis altogether independent of the ordinary Cartesian system, instead of regarding it as only a special form of Abridged Notation.

A desire not unduly to increase the size of the book has prevented me from proceeding beyond Curves of the Second Degree.

I have introduced a short Chapter on Determinants. The great utility of these expressions in investigations connected with curves of the second degree will, I hope,

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