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THE APPLICATION OF ANALYSIS

TO

SOLID GEOMETRY.

A TREATISE

ON

THE APPLICATION OF ANALYSIS

ΤΟ

SOLID GEOMETRY.

του αεί όντος η γεωμετρική γνώσις εστιν.

Πλάτων.

COMMENCED

BY D. F. GREGORY, M.A.,

LATE FELLOW AND ASSISTANT TUTOR OF TRINITY COLLEGE, CAMBRIDGE.

CONCLUDED

BY W. WALTON, M.A.,

TRINITY COLLEGE, CAMBRIDGE.

Second Edition.

CAMBRIDGE: J. DEIGHTON;
LONDON: WHITTAKER & CO., SIMPKIN & CO., AND G. BELL.

1852.

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PREFACE TO THE FIRST EDITION.

This work was commenced by Mr. Gregory in the course of the year 1842; and in the Autumn of 1843 had received his final revision as far as the end of Chapter XI.: he had likewise made numerous extracts from various sources preparatory to writing Chapters XII., XIII., XIV., XV.; and had arranged a collection of Problems which, with slight additions, forms the subject of Chapter xvi., the last of the Treatise. His further progress in this work was unhappily arrested by death.

Having, in accordance with the last wishes of my most valued friend, undertaken the completion of this work, I have fulfilled my task to the best of my ability. It is hoped that the natural difficulty of bringing to a conclusion a treatise commenced by another, will secure for me the indulgence of the reader.

The principal object of this Treatise is to develop a system of Solid Geometry, in a form suitable to mathematical students, by means of symmetrical equations. The general advantage of symmetry in this branch of mathematics is so striking, , that the utility of such a work will be at once recognized.

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