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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
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.
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.
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.*
I. TER. GL.-To find the distance between two places
II. T.-To find the latitude of a given place
III. T.-To find the difference of latitude between any two
Cel. and T.—To find the declination of a given star,
and the places which pass directly underneath it, as
V. T.-The declination of a star, &c., being given (or the
latitude in which it culminates vertically), to find to
what places it is constantly above the horizon, and
VI. T.-Having the declination of a star, and the place to
which it is appearing to pass vertically, to find all
those places to which it is at that instant rising, and
what portion of the time of each diurnal rotation of
our earth certain of those places severally spend in
T.-Having the declination of a star, to find at what
altitude the star appears to the inhabitants of a given
place after the lapse of a certain portion of time
C.-A certain star being in the zenith of a certain
place, to find the amplitude of any stars rising or
setting there; and the azimuth, at that instant, of
any stars that may then be above the horizon
T.-A place being given, with the angle of position or
apparent bearing of another place of given distance,
X. T. and C.-A place being given at which a certain star
is culminating vertically, to find those places where
* If, on account of a limitation of time, it should be found absolutely neces-
XI. T.-A place being given, to find what other places lie
in the same plane with that place and with both poles
of our earth, and consequently with its whole axis
XII. T.-To find the longitude of a given place, and its
XIII. C.-To find the latitude in which a certain star rises or
sets at the instant that another star is culminating. 93
XIV. T.-To find a place, having its latitude and longitude
given. Conversely, Having a place given, to find its
XV. C.-Having a given star, to find what other stars lie in
the same plane with that star and the two poles of the
equinoctial, and consequently with the whole axis of
XVI. C.-To find a star, or any heavenly body, having its
right ascension and declination given. Conversely,
Having a star, &c, given, to find its right ascension
XVII. T.-To find the difference of longitude between any
two places; and the hour of the day at the one place
being given, to find the hour at the other place
XVIII. T.-To find at what rate per minute, per hour, &c., the
XIX. T.-The hour of the day at any particular place being
given, to find the hour in any other part of the world;
PROBLEMS. SECT. II.
I. C.-A day being given, to find the sun's longitude or
place in the ecliptic, and his consequent declina-
II. T.—A certain day of the year being given, to find what
other day of the year is of a length exactly corres-
ponding to it; and where, on those two days, the
III. C.-Given the day of the month and the sun's ampli-