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GEOMETRICAL COMPANION,

IN WHICH THE

ELEMENTS OF ABSTRACT GEOMETRY

ARE FAMILIARISED, ILLUSTRATED, AND RENDERED
PRACTICALLY USEFUL TO THE VARIOUS

PURPOSES OF LIFE.

BY GEORGE DARLEY, A. B.
AUTHOR OF A SYSTEM OF POPULAR GEOMETRY, ALGEBRA,
AND TRIGONOMETRY.

LONDON:

PRINTED FOR JOHN TAYLOR,
Bookseller and Publisher to the University of London,
30, UPPER GOWER-STREET;

AND SOLD BY JAMES DUNCAN, PATERNOSTER-ROW; HESSEY,
FLEET-STREET; AND HATCHARD AND SON, PICCADILLY.

1828.

Math 5108.28
Math 5078 + 4+ 5881, March,

Gift of
anro K. Cover,
of Salem.

LONDON:

PRINTED BY THOMAS DAVISON, WHITEFRIARS.

30-15

10

PREFACE.

To exhibit the scope and tendency of the present Treatise we need only insert here the PROSPECTUS which has been some time before the public:

"Each volume of the Scientific Library proposes to develop the Elements of a Science, or Sciences, in a brief, systematic, demonstrative form, so that the entire Series may supply a body of Mathematical and Physical Knowledge complete, but in nothing superfluous. This Series will exhibit the abstract beauty and utility of Science, which it would not be judicious to impair by irrelevant matters. But there is likewise a practical beauty and utility in Science, which should be brought home to men's business and bosoms. To accomplish this we design publishing a Set of Companions to the Sciences, in which the abstract principles already developed in our first Series will be applied to practice, exemplifying their value in improving the worldly condition of man, as well as his intellectual. By means of this Companion Library we shall be enabled at once to confirm its readers in the Elements of our first Series, to instruct them in the method of drawing practical benefit from their acquired knowledge, and to furnish a ready answer to the often-repeated inquiry— What is the use of abstract Science?"

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