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PREFACE.

IN

N this book, all the principles of Arithmetic are fully developed, and sufficient examples are given to fix them on the mind.

When a student is very apt and thoroughly understands the PRIMARY LESSONS, he may omit the ELEMENTARY, and immediately take up this book, which is complete in itself.

I have discarded puzzles of every kind, which only perplex the student without advancing him a step in science.

A few simple principles of algebra are introduced, in order to elucidate more clearly, the different functions of interest, the series of equal ratios, and the square and cube root.

Problems in mensuration are also given, the principles of which are derived from Geometry.

Arithmetic is a pure mathematical science, and if its principles are systematically developed, the student will progress with easy and rapid steps, and when he has finished this book, he will discover that he has already so far ascended the hill of science that a retrospect will present to him many beauties which are greatly enhanced when seen in their harmonious relation to each other.

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