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Popular Educator.

VOLUME THE THIRD.

ROYSTOP
ISTITUR

MECHANICS

STUDIES serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring;
for ornament, is in discourse; and for ability, is in the judgment and disposition of business: for expert men
can execute, and perhaps judge of particulars, one by one; but the general counsels, and the plots and marshalling
of affairs, come best from those that are learned. To spend too much time in studies, is sloth; to use them
too much for ornament, is affectation; to make judgment wholly by their rules, is the humour of a scholar:
they perfect nature, and are perfected by experience; for natural abilities are like natural plants, that need pruning
by study; and studies themselves do give forth directions too much at large, except they be bounded in by
experience.-Bacon.

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CASSELL, PETTER, AND GALPIN, LA BELLE SAUVAGE YARD,

LUDGATE HILL, E. C.

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TO OUR READERS.

LOOKING back upon the past half-year of our labours in endeavouring to educate the people, we cannot but congratulate our readers on the increasing evidence we have received from them, that our system of National Education has been eminently successful. By means of our Journal, hundreds have been led to study a variety of useful branches of learning and knowledge, of which beforehand they had not the remotest idea; and though coming to this study under the most disadvantageous circumstances, many have made a degree of progress in these branches which not only surprises themselves, but astonishes and delights us; and encourages us to go on in our labour of love, believing that we shall ultimately receive our reward. The new branches of knowledge which are to be brought before our readers in the next Volume of THE POPULAR EDUCATOR will be found in the last page of the last Number of this Volume; and we trust that the same success which has attended our past labours will accompany our present endeavours to impart a knowledge of them to our readers; and that we shall have hundreds of diligent students of Chemistry and Natural Philosophy, who, though they may not rival Davy and Newton, yet may acquire a respectable proficiency in this department of learning, and one which will be of lasting avail to them through life. The Mathematics and the Languages will, of course, still form an important part of our series of Popular Instructions; nor will Biography and Mental and Moral Philosophy be omitted, as soon as ever we can find a place for them. Geography, Instrumental Arithmetic, and various other branches begun in this Volume, shall be continued in the next Volume; but whether our Lessons shall relate to former or to new branches of knowledge, every means shall be employed to convey the greatest possible amount of information in the least possible amount of space, and in the shortest possible time; and we hope that our readers will give us credit for being the best judges of these necessary lements in the great work which we have undertaken.

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LESSONS IN ARITHMETIC.

XXIV. Vulgar Fractions: Multiplication of Fractions.
Problem IX. Division of Fractions, &c.

26

......

74

132

218, 278, 365

XXV. Vulgar Fractions: Division, &c.
XXVI. Weights and Measures; Tables of Equalization
XXVII., XXVIII., XXIX. Coins, Weights and Mea-

sures.......

LESSONS IN BIOGRAPHY.

LX. Table of the Regular Terminations of the Four Conjugations; Formations of the Tenses; Unipersonal Verb y Avoir.

126

LXI., LXII., LXII., LXIV., LXV., LXVI., 1.XVII.,
LXVIII., LXIX. Alphabetical Table of the
Irregular, Defective, Peculiar, and Unipersonal
Verbs
140,160, 178, 187, 203, 221, 237, 265
Fables....
...187, 222, 238, 266, 322

LXX. Participles; the Adverb. SYNTAX, th Noun.... 281
LXXI. The Article and its Uses....
298
LXXII., LXXIII. The Adjective and its Peculiarities ..312, 330
LXXIV., LXXV., LXXVI. Numeral Adjectives; Pro-
..336, 350, 367
311 LXXVII. The Use of the Tenses

X. John Butterworth, a Lancashire Mathematician 56 XI. John Kay of Royton, a Lancashire Mathematician 239 XII. Jerome Stone, a Classical Scholar........

LESSONS IN BOOKKEEPING.

I. Introduction; Definitions; Names and uses of the
Different Books kept in a Merchant's Counting
House

nouns..

LESSONS IN GEOGRAPHY.

383

Skeleton Maps of Europe and Asia, and Maps of Polynesia, England and Wales, Scotland and Ireland: Latitudes and Longitudes, Boundaries, Divisions, Seas, Straits, Gulfs, Islands, Peninsulas, &c. to be prefixed to the Volume,

13 45

168

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IX. Perspective. Section III.

X. Proportions of the Human Head and Face
XI., XII., XIII. On Trees and their Append-

293

259

XXII. Explanation of the Map of Asia, Ethnography....
XXIII. Explanation of the Map of Africa; table of the
Countries, Kingdoms, Empires and States of
Africa; Ethnography

29

61

263

339

XXIV. Explanation of the Map of North America; table
of the Countries, Kingdoms, Empires, and States
in North America....
XXV., XXVI. Explanation of the Map of North America
Continued; Ethnography

116

143

ages

89, 137, 165

XXVII., XXVIII. Explanation of the Map of South
America; table of Countries, Kingdoms, Empires
and States in South America
....249, 311
XXIX. Explanation of the Map of Australasia; Table of
Countries, Colonies and Settlements in Austra-

lasia 345 XXX. Explanation of the Map of Polynesia; Table of Colonies, Settlements and Countries in Polynesia 361

LESSONS IN GEOLOGY.

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..31, 47 63 ...70, 92 106 .141, 150

XXXIV. On the Effects of Electric Discharges upon
Rocks

189

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LV. Adjective Pronouns.

211

XXXVIII. On the Formation and Aspect of Glaciers.
XXXIX. On the Motion and Action of Glaciers

286

323

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