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SOLUTIONS OF THE QUESTIONS

IN THE

PRINCIPLES AND PRACTICE

OF ARITHMETIC.

BY

JOHN HIND, M.A. F.C.P.S. F.R.A.S.

LATE FELLOW AND TUTOR OF SIDNEY SUSSEX COLLEGE,

CAMBRIDGE.

SECOND EDITION.

CAMBRIDGE:

DEIGHTON, BELL, AND Co.

LONDON: BELL AND DALDY.

1856.

181. C. 37.

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ELEMENTARY WORKS,

BY THE

Rev. JOHN HIND, M.A., F.C.P.S., F.R.A.S.,

LATE FELLOW AND TUTOR OF SIDNEY SUSSEX COLLEGE,

CAMBRIDGE.

[The Publishers desire to draw the attention of Teachers to this Series of Elementary Books. They are largely in use throughout the kingdom, and are specially suitable for Upper Forms and those who are preparing for the Universities. Upwards of Fifty Thousand Copies of these Works have been sold, and some of them have been translated into the languages of Portugal, Turkey, and India.]

The PRINCIPLES and PRACTICE of ARITH

METIC, comprising the Nature and Use of Logarithms, with the Computations employed by Artificers, Gagers, and Land Surveyors. Designed for the use of Students. Eighth Edition. With a New Appendix of Miscellaneous Questions.

12mo, bds. 48.6d.

In the present treatise the Author has endeavoured to combine what is neces

sary of the Philosophy of the Science of Arithmetic with the practice of the

Art of Numbers. Throughout the work he has attempted to trace the source of every rule which

is given, and to investigate the reasons on which it is founded: and by means of particular examples comprising nothing but what is common to every other example of the same kind, to attain in Arithmetic the kind of evidence

which is relied upon in Geometry, or in any other demonstrative science. A Second Appendix of Miscellaneous Questions, (many of which have been

taken from the Examination Papers given in the University during the last few years,) has been added to the present edition of this work, which the Author considers will conduce greatly to its practical utility, especially for those who are intended for mercantile pursuits.

The Principles and Practice of ARITHMETICAL

ALGEBRA, Established upon strict methods of Mathematical Reasoning, and Illustrated by Select Examples proposed during the last. Thirty Years in the University of Cambridge. Third Edition. 12mo. 5s. Designed as a sequel to the Arithmetic, and affording an easy transition from

Arithmetic to Algebrathe processes being fully exemplified from the Cambridge Examination Papers.

2

The ELEMENTS of ALGEBRA. revised, improved, and reduced in price.

Sixth Edition,

8vo. 10s. 6d.

The ELEMENTS OF PLANE and SPHERICAL

TRIGONOMETRY, with the Nature and Properties of Logarithms and the construction and use of Mathematical Tables. Fifth Edition.

12mo. bds. 6s. Designed to enable the Student to become acquainted with the principles and

applications of Trigonometry, without requiring of him anything more than a knowledge of the Elements of Geometry and a facility in the common operations of Arithmetic and Algebra.

By the Rev. HARVEY GOODWIN, M.A. Late Fellow and Mathematical Lecturer of Gonville and Caius College, Cambridge. An ELEMENTARY COURSE of MATHEMATICS,

designed principally for Students of the University of Cambridge. Fourth Edition.

8vo. 158. ... This Edition contains 100 pages of additional matter, and the price has

been reduced from 18s. to 158. ELEMENTARY STATICS, designed chiefly for the use of Schools.

Crown 8vo. 6s. The design of this work is to make the principles of Statics intelligible to boys

who have attained a fair knowledge of Algebra and Trigonometry. The laws of Statics, the composition and resolution of forces, and the doctrine of the lever, are first deduced experimentally; and the student having been thus rendered familiar with the fundamental truths of the subject, is subsequently introduced to their mathematical demonstration. This arrangement forms the most striking peculiarity of the book. Each chapter is accompanied by an imaginary conversation between the tutor and pupil, in which the difficulties of the subject are discussed, and collateral information introduced. There is also appended to each chapter an Examination Paper

of Questions upon its contents. ELEMENTARY DYNAMICS, designed chiefly for the use of Schools.

Crown 8vo. 58.
The two books bound together, 10s. 6d.
This volume is a sequel and companion to the preceding. It is written as

nearly as possible upon the same principle, having appended to each
chapter an imaginary conversation and a paper of Examination Questions.
The three Laws of Motion are dealt with in three separate chapters; each
of the earlier laws being followed out into its consequences, and illustrated
by practical applications, before another is introduced. It is believed that
this arrangement will be found very much to facilitate the progress of
beginners. There is a chapter upon the impact of balls; and the treatise

concludes with the doctrine of the simple cycloidal pendulum. A COLLECTION of PROBLEMS and EXAMPLES,

adapted to the “Elementary Course of Mathematics." With an Appendix, containing the Questions proposed during the first Three Days of the Senate-House Examinations in the Years 1848, 1849. 1850, and 1851. Second Edition,

8vo. 6s.

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CHAPTER VI.

130. Ratio and Proportion

135. Simple Interest.

138. Compound Interest

143. Transfers of Stocks

147. Discount or Rebate

161. Miscellaneous Questions

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