16, BEDFORD STREET, COVENT GARDEN, W.C.

London and Cambridge.

MACMILLAN AND CO.'S

DESCRIPTIVE CATALOGUE OF

CAMBRIDGE CLASS BOOKS.

The Works in this Series of CAMBRIDGE CLASS-BOOKS FOR THE USE OF SCHOOLS AND COLLEGES, which have been issued at intervals during the last ten years, are intended to embrace all branches of Education, from the most Elementary to the most Advanced, and to keep pace with the latest discoveries in Science.

Of those hitherto published the large and ever increasing sale is a sufficient indication of the manner in which they have been appreciated by the public.

A SERIES of a more Elementary character is in course of publication, a list of which will be found on page 2 of this Catalogue.

The volumes of this Series of ELEMENTARY SCHOOL CLASS Books are
handsomely printed in a form that, it is hoped, will assist the young
student as much as clearness of type and distinctness of arrangement
can effect. They are published at a moderate price to ensure an ex-
tensive sale in the Schools of the United Kingdom and the Colonies.
1. EUCLID FOR COLLEGES AND SCHOOLS.

By I. TODHUNTER, M.A., F.R.S., Fellow and Principal Mathematical
Lecturer of St. John's College, Cambridge. 18mo. 3s. 6d.

2. ALGEBRA FOR BEGINNERS.

By I. TODHUNTER, M.A., F.R.S. 18mo. 2s. 6d.

*** A KEY to this work will shortly be published.

3. THE SCHOOL CLASS BOOK OF ARITHMETIC.

By BARNARD SMITH, M.A., late Fellow of St. Peter's College, Cambridge. Parts I. and II. are now ready. 18mo. limp cloth, price 10d. each.

4. AN ELEMENTARY LATIN GRAMMAR.

By H. J. ROBY, M.A., Under Master of Dulwich College Upper School, late Fellow and Classical Lecturer of St. John's College, Cambridge. 18mo. 2s. 6d.

5. MYTHOLOGY FOR LATIN VERSIFICATION.

A Brief Sketch of the Fables of the Ancients, prepared to be rendered into
Latin Verse for Schools. By F. HODGSON, B.D., late Provost of Eton
College. New Edition. Revised by F. C. HODGSON, M.A., Fellow of
King's College, Cambridge. 18mo. 38.

6. A LATIN GRADUAL FOR BEGINNERS.

A First Latin Construing Book. By EDWARD THRING, M.A., Head
Master of Uppingham School. 18mo. 2s. 6d.

7. SHAKESPEARE'S TEMPEST.

The Text taken from "The Cambridge Shakespeare." With Glossarial and
Explanatory Notes. By the Rev. J. M. JEPHSON. 18mo. cloth, 3s. 6d.

8. LESSONS IN ELEMENTARY BOTANY.

The Part on Systematic Botany based upon Material left in Manuscript by the late Professor HENSLOW. With nearly Two Hundred Illustrations. By DANIEL OLIVER, F.R.S., F.L.S., Keeper of the Herbarium and Library of the Royal Gardens, Kew, and Professor of Botany in University College, London. 18mo. cloth. 4s. 6d.

9. AN ELEMENTARY HISTORY OF THE BOOK OF COMMON PRAYER. By FRANCIS PROCTER, M.A., Vicar of Witton, Norfolk, late Fellow of St. Catharine's College, Cambridge. 18mo. 2s. 6d. 10. THE BIBLE IN THE CHURCH.

A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. By BROOKE FOSS WESTCOTT, M.A., 18mo. 4s. 6d. 11. THE BIBLE WORD BOOK.

A Glossary of Old English Bible Words. By J. EASTWOOD, M.A., of St. John's College, and W. ALDIS WRIGHT, M.A., Trinity College, Cambridge. [In the Press. FOR THE [In the Fress.

12. A BRIEF BIOGRAPHICAL DICTIONARY USE OF SCHOOLS. By the Rev. CHARLES HOLE. 13. LESSONS IN ELEMENTARY PHYSIOLOGY. With numerous Illustrations. By T. H. HUXLEY, F.R.S., Professor of Natural History in the Government School of Mines. [Nearly Ready, in 18mo.

FOR

SCHOOLS AND COLLEGES.

WORKS by the Rev. BARNARD SMITH, M.A.
Fellow of St. Peter's College, Cambridge.

3. Key to the Arithmetic, containing Solutions to all the Questions in the latest Edition. Cr. 8vo. cloth. 392 pp. Third Edit. 8s. 6d. To meet a widely expressed wish, the ARITHMETIC was published separately from the larger work in 1854, with so much alteration as was necessary to make it quite independent of the ALGEBRA. It

Ninth Edit. 696 pp. (1863). Cr. 8vo. has now a very large sale in all classes of strongly bound in cloth.

10s. 6d.

The first edition of this work was published in 1854. It was primarily intended for the use of students at the Universities, and for Schools which prepare for the Universities. It has however been found

to meet the requirements of a much larger class, and is now extensively used in Schools and Colleges both at home and in the Colonies. It has also been found of great service for students preparing for the MIDDLE-CLASS and CIVIL AND MILITARY SERVICE EXAMINATIONS, from the care that has been taken to elucidate the principles of all the Rules. Testimony of its excellence has been borne by some of the highest practical and theoretical authorities; of which the follow

Schools at home and in the Colonies. A
copious collection of Examples, under
each rule, has been embodied in the work
in a systematic order, and a Collection of
Miscellaneous Papers in all branches of
Arithmetic is appended to the book.
4. Exercises in Arith-
metic. 104 pp. Cr. 8vo. (1860)
28. Or with Answers, 2s. 6d.
Also sold separately in 2 Parts
1s. each. Answers, 6d.

These EXERCISES have been published
in order to give the pupil examples in
every rule of Arithmetic. The greater
number have been carefully compiled
from the latest University and School
Examination Papers.

ing from the late DEAN PEACOCK may 5. School Class Book of

be taken as a specimen :

"Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The Examples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work."

2. Arithmetic

For the Use of Schools.
New Edition (1862) 348 pp.
Crown 8vo. strongly bound in cloth,

Arithmetic.

1864. 124 pp. PART I. to the end
18mo.
of Compound Division.
limp cloth. 10d.-PART II. 104 pp.
containing Fractions, Decimals,
Subtraction of Square and Cube
Root. 18mo. limp cloth. 10d.
-PART III. will contain Rule
of Three, Interest. &c.

The School Class Book of Arithmetic, published at the request of many Schoolmasters, and chiefly intended for National and Elementary Schools, has been prepared on the same plan as that adopted in 4s. 6d. Answers to all the Ques-in extensive circulation in England and the Author's School Arithmetic, which is

tions.

abroad.

WORKS by ISAAC TODHUNTER, M.A. F.R.S. Fel ow and Principal Mathematical Lecturer of St. John's College, Cambridge.

1. Algebra.

For the Use of Colleges and Schools.
Third Edition. 542 pp. (1862).
Strongly bound in cloth. 78. 6d.

3. Spherical Trigonometry. For the Use of Colleges and Schools. 132 pp. Crown 8vo. Second Edit. enlarged. (1863). 4s. 6d.

This work is constructed on the same This work contains all the propositions plan as the Treatise on Plane Trigonowhich are usually included in elementary metry, to which it is intended as a sequel. treatises on Algebra, and a large number Considerable labour has been expended of Examples for Exercise. The author on the text in order to render it comprehas sought to render the work easily in-hensive and accurate, and the Examples, telligible to students without impairing the accuracy of the demonstrations, or contracting the limits of the subject. The Examples have been selected with a view to illustrate every part of the subject, and

as the number of them is about Sixteen

hundred and fifty, it is hoped they will supply ample exercise for the student. Each set of Examples has been carefully arranged, commencing with very simple exercises, and proceeding gradually to those which are less obvious.

which have been chiefly selected from Uni-
versity and College Papers, have all been
carefully verified.

The Elements of Euclid
For the Use of Schools and Colleges.
COMPRISING THE FIRST SIX BOOKS AND
PORTIONS OF THE ELEVENTH AND
TWELFTH BOOKS, WITH NOTES, AP-
PENDIX, AND EXERCISES.

384 pp. 18mo. bound. (1862). 3s. 6d.

As the Elements of Euclid are usually placed in the hands of young students, it

2. Plane Trigonometry is important to exhibit the work in such

The design of this work has been to render the subject intelligible to beginners, and at the same time to afford the student the opportunity of obtaining all the information which he will require on this branch of Mathematics. Each chapter is followed by a set of Examples; those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously reserved by the student for exercise after he has made some progress in the subject. As the Text and Examples have been tested by considerable experience in teaching, the hope is entertained that they will be suitable for imparting a sound and comprehensive knowledge of Plane Trigonometry, together with readiness in the application of this knowledge to the solution of problems. In the Second Edition the hints for the solution of the Examples have been considerably

reased.

The

a form as will assist them in overcoming
the difficulties which they experience on
their first introduction to processes of con-
be so useful as that of breaking up the
tinuous argument. No method appears to
demonstrations into their constituent parts,
and this plan has been adopted in the
present edition. Each distinct assertion in
the argument begins a new line; and at
the end of the lines are placed the necessary
references to the preceding principles on
which the assertions depend. The longer
propositions are distributed into subordi-
nate parts, which are distinguished_by
breaks at the beginning of the lines.
Notes are intended to indicate and explain
the principal difficulties, and to supply the
most important inferences which can be
drawn from the propositions. The work
finishes with a collection of Six hundred
and twenty-five Exercises, which have been
selected principally from Cambridge Ex-
amination papers and have been tested by
long experience. As far as possible they
are arranged in order of difficulty. The
Figures will be found to be large and dis-
tinct, and have been repeated when neces-
sary, so that they always occur in immedi-
ate connexion with the corresponding text.

WORKS by ISAAC TODHUNTER, M.A., F.R.S.-continued.

In this work will be found all the pro- AS APPLIED TO THE STRAIGHT LINE

positions which usually appear in treatises on Theoretical Statics. To the different chapters Examples are appended, which have been selected principally from the University and College Examination Papers; these will furnish ample exercise in the application of the principles of the subject.