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AN

EASY INTRODUCTION

TO THE

MATHEMATICS;

IN WHICH

THE THEORY AND PRACTICE

ARE LAID DOWN AND FAMILIARLY EXPLAINED.

To each subject are prefixed,

A BRIEF POPULAR HISTORY OF ITS RISE AND PROGRESS, CONCISE MEMOIRS
OF NOTED MATHEMATICAL AUTHORS ANCIENT AND MODern,
AND SOME ACCOUNT OF THEIR WORKS.

The whole forming

A COMPLETE AND EASY SYSTEM

OF

ELEMENTARY INSTRUCTION

IN THE

LEADING BRANCHES OF THE MATHEMATICS;
DESIGNED TO FURNISH STUDENTS WITH THE MEANS OF ACQUIRING CONSIDERABLE
PROFICIENCY, WITHOUT THE NECESSITY OF VERBAL ASSISTANCE.

Adapted to the use of

SCHOOLS, JUNIOR STUDENTS AT THE UNIVERSITIES, AND PRIVATE
LEARNERS,

ESPECIALLY THOSE WHO STUDY WITHOUT A TUTOR.

IN TWO VOLUMES.

BY CHARLES BUTLER.

Πάντ ̓ ἐσὶν ἐξευρεῖν, ἐὰν μὴ τὸν πόνον

φεύγῃ τις, ὃς πρόσεςι τοῖς ζητεμένοις. ΦΙΛΗΜΩΝ.

Shake off your ease, and send your name

To immortality and fame,

By ev'ry hour that flies.

VOL. II.

WATTS.

OXFORD:

AND SOLD BY LONGMAN, HURST, REES, ORME, AND BROWN, PATERNOSTER ROW,

PRINTED BY BARTLETT AND NEWMAN;

LONDON; PARKER, OXFORD; AND DEIGHTON, CAMBRIDGE.

OTHEC

CONTENTS.

PAGE

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SIMPLE INTEREST, its Rules investigated and applied
DISCOUNT, its Rules investigated and applied .

THE DOCTRINE OF RATIOS.

Continued Fractions

PROPORTION, Direct.

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Problems in Geometrical Progression

COMPOUND INTEREST, its Rules investigated and applied
PROPERTIES OF NUMBERS, an Investigation of those which

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Of Geometry considered as the Science of Demon-
stration, with some Account of the Principles of
Reasoning, as introductory to the Study of Euclid 250`

Observations on some Parts of the first Book of

Euclid's Elements

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