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been suggested by teaching and a careful comparison with other standard works, have been freely made. It would, perhaps, not be just to regard M. Bourdon as responsible for the work in its present form.

It has been the intention to unite in this work, the scientific discussions of the French, with the practical methods of the English school; that theory and practice, science and art, may mutually aid and illustrate each other.

CHARLES DAVIES.

WEST POINT, June, 1844.

CONTENTS.

ALGEBRA Definitions-Explanation of the Algebraic Signs..
Similar Terms-Reduction of Similar Terms...

Problems-Theorems-Definition of-Question.

ARTICLES

1-28

28-30

31-33

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