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some time engaged on it, (to the exclusion of a desired acquaintance with the appearances of the heavens,) are still possessed of very ambiguous notions respecting even the circumstances more immediately connected with the daily rotation of the Earth.

How far the great object of distinctness has been attained in the following treatise, the Author must leave to the decision of the unprejudiced instructor. It has been his earnest endeavour throughout, to enlist the judgment of the pupil in the attainment of what he conceives the principal objects of this department of study :— the correction of the misconceptions which early observant childhood will be found, in almost every instance, to have formed ;-—and the acquirement of the information generally sought for with eagerness at the time of life at which attention is given to the globes,—that interesting period when “ attention is drawn from the discovery of what is new, to the examination of what is familiar, and the great work of comparison begins."

Something of the introductory nature of the Definitions and Illustrations, given in Class 1, (pp. 1–24), he has found indispensable, especially in the instruction of Young Ladies. The Definitions, &c., Class 2, are almost entirely new, and have been so arranged that they may be read as a kind of epitome.

The number of Problems and Exercises does not amount to sixty; but the converse of a problem is often embodied with it.

By a very early introduction of the Celestial Globe, the Terrestrial Globe has been kept to its purpose as an efficient representative of our planet : the circumstances of its surface being considered, first, in reference to Fixed Stars

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PREFACE.

of very different declination; and, then, in reference to the varying declination of the Sun.

In the first two sections of Problems several new ones will be found; and the rules and arrangement of others differ considerably from what has hitherto been given. Several adaptations in the third section the Author may call almost entirely his own :

-the subject of the Trade Winds has not, he believes, been yet introduced into this branch of instruction ; and the results of Precession have been only very slightly touched upon before. He feels that, in dealing with such subjects, he has been treading on delicate ground; but he hopes that his illustrations and deductions may be considered to be fair, and equally instructive and important with those to which lessons on the globes have hitherto been confined.

With regard to the Appendix, the usefulness of the earlier rhymings has been tested. The few last pages must have the plea of good intention for their introduction. It is hoped that no critic eye will seek to discover in them a pretension to any degree of poetic merit. Appropriate extracts could not be gathered, in sufficient diversity, from our English Classics ; and the concluding piece was designed only on this account, and to serve the purpose of familiar and connected illustration and reference.

It is the Author's practice, where time admits, to read, at the giving of each lesson, a few pages of the scientific notices. It is hoped, too, especially with the aid of the copious index, that these notices, as well as the familiar Illustrations of Class 1, may be found to interest the pupil in leisure hours.

LEWISHAM, 21st March, 1842.

PUBLISHED BY THE SAME AUTHOR;

LESSONS IN PLAIN PENMANSHIP,

ON THE SYSTEM LONG EMPLOYED WITH SUCCESS IN THE

LITTLE TOWER STREET ACADEMY.

SECOND EDITION.

In Two Parts, separately done up in Paper Covers, price 2s.6d. ;

or in Cloth, with Leather backs, price 3s. 6d.

Attention is especially invited to the introductory illustrations ; and the directions given in the pages accompanying the separate copylines of Part I. of these Lessons.

INDEX TO PROBLEMS.*

* If, on account of a limitation of time, it should be found absolutely neces-
sary to abridge the Course of Problems, the Author would recommend the
omission only of the following ;-viz. of Sect. I., Probs. 1, 3, 7, 9, 10, 11, 13:-
Of Sect. II., Probs. 1, 7, 8, 12, and the Exercises on pp. 160—164 :-of Sect.
III., Probs. E and Z. But the Definitions, &c., prefixed to all these Problems,
must, notwithstanding, be attentively regarded.

PROBLEMS. SECT. II.

other day of the year is of a length exactly corres-

ponding to it; and where, on those two days, the

sun appears in the zenith

110

III. C.-Given the day of the month, and the sun's ampli-

tude, to find the latitude of the place of observation 111

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