« ΠροηγούμενηΣυνέχεια »
tween the vertex and the points of intersection shall have to each other a given ratio.
6. Given a straight line, to divide it into two parts such that the square of one of the parts shall have a given ratio to the rectangle contained by the whole line and the other part.
7. Given the first and fourth of four proportional lines and the difference between the second and third, to find the second and third.
8. Given a rectilineal figure, to describe a square which shall have a given ratio to it.
9. Given a trapezium in which the sides about one angle are equal, and the sides about the opposite angle also equal, to inscribe in it a square.
10. Given two similar rectilineal figures, to find a third similar rectilineal figure which shall be a mean proportional between them.
11. Given a segment of a circle, to divide it into two parts so that the chords of these parts shall have a given ratio to each other.
12. To trisect a given circle.
13. If a straight line be drawn from the vertex of an isosceles triangle at right angles to one of the equal sides and produced until it meets the base produced, either of the equal sides is a mean proportional between the base and one-half of the base produced.
14. If the three sides of a triangle be bisected and straight lines drawn from the points of bisection to the opposite angles, they shall intersect each other in the same point.
15. If two or more lines meet three parallel lines, they are cut proportionally.
16. If a straight line touch two circles that also touch each other, the mean proportional between the diameters of the circles is that part of the line lying between the points of contact.
17. If parallelograms be equiangular, the ratio between them is the same as the ratio between the rectangles contained by the sides about equal angles in each.
FRINTED BY LEVEY, KOBSON, AND FRANKLYN,
Great New Street, and Fetter Lane.
Uniform with this work is Published, Price 1s. 6d.,
ILLUSTRATED PRACTICAL GEOMETRY,
AND ITS APPLICATION TO
ROBERT SCOTT BURN,
EDITOR OF "THE ILLUSTRATED LONDON DRAWING-BOOK.”
The object of the publishers of this series of educational works is to supply at the cheapest possible rate a series of volumes, adapted both for schools and private study, which shall be accurate and complete as text books, and also contain numerous and appropriate pictorial illustrations.
The old system of instruction, by which the names of things only were presented to the mind of the pupil, has been long admitted to have been imperfect and unsuccessful. With the young it is necessary to speak to the eye as well as the mind; to give a picture of an object as well as a description; and the adoption of such a plan of tuition is not only far more effective than that which is confined to words, but is at the same time far less irksome to the teacher, and more pleasant to the pupil. A greater interest is excited, and the representation of the object remains clear and distinct in the mind of the child long after the verbal description has passed away.
The great success which has attended the works published in this series (about one eighth of a million copies of one work alone having been sold) is sufficient proof that such a class of works is required by the wants of the age, and it will be the aim of the publishers to seek a continuance of that success in the excellence of the text, the beauty of the illustrations, and the lowness of price in the works to be hereafter issued.
The volumes will be uniformly printed, but each will be complete in itself, forming a distinct and perfect work on the subject to which it relates. The preparation of the volumes will be confided to eminent men in each department, and to skilful artists,
Opinions of the Press.
ONE HUNDRED AND FORTIETH THOUSAND, price ls., or post free, Is. 6d.
WOODCUTS OF OBJECTS AND SCENES DESCRIBED.
Coloured, price 2s. (144 pages.) “ The Illustrated London Spelling Book' contains no fewer than one hundred and seventy woodcuts, well executed; and, what is still more important, well chosen as to subject, of a cheerful and practical character, instead of the fantastic, nay, cabalistic, forms which disfigured our earliest educational books. Even the alphabet subjects will be suggestive to the little learner, and such as will induce him to ask questions relating to them: this is the moment for imparting information with effect, for it is never so strongly impressed upon the mind as when given the moment it is asked for. At the same time, the progressive plan of the book is closely watched : the child is not frightened by impossibilities at its tender age; but, both in the spelling and reading, the progress of the scholar is consulted by the gradual increase in the length of the words. The reading lessons are pretty little narratives, mostly original, and of just such incidents of amusement and instruction as are most likely to attract the attention of a child: they are cheerful throughout, although the good seed' is not forgotten to be thrown in the path of childhood—a priceless feature in its first lessons, in spite of the secular cant and coldness of the day. Among the pictures, subjects of natural history predominate; and there cannot be a readier means of leading children to understand the beauty of earth and all that therein is, than by well-drawn figures of striking objects in the kingdoms of Nature.”-ILLUSTRATED LONDON NEWS.
FORTY-FIRST THOUSAND, price 2s.
THE ILLUSTRATED LONDON READING-BOOK:
CONTAINING A SERIES OF LESSONS ON THE MOST AMUSING AND
Selected with great care from the best English Authors in Prose and Verse. The whole beautifully Illustrated with above Two Hundred and Fifty Engravings.
“The Illustrated London Reading Book’ is the next stage in the series. It contains some hundred and fifty lessons, mostly selected from standard authors. The subjects are not of the old • Tom and Harry class, or of a hackneyed character; but of actual living interest, in many instances describing wonders which are at the moment arising around
Historiettes are sprinkled throughout the book. Its leading recommendation is the vivacity as well as variety of its contents: they are, to quote a common, and often misused phrase, highly graphic;' the events and incidents have a certain picturesqueness of character, which must prove highly attractive to all growths: and both teacher and learner may profit in their progress, though in a different ratio. The engravings are of higher pretensions than those of the Spelling-book : some are from pictures by eminent living painters; and not unfrequently they take the reader to remote corners of the earth, as well as familiarise him with the wonders of his own country. Appended is a vocabulary of words used in the volume, and rendered necessary by the somewhat advanced nature of certain of the information conveyed in the descriptive lessons."
ILLUSTRATED LONDON NEWS.
ILLUSTRATED LONDON INSTRUCTOR:
Being a Companion to the Reading-Book. CONSISTING OF EXTRACTS FROM ENGLISH CLASSICAL AUTHORS, FROM THE EARLIEST
PERIODS OF ENGLISH LITERATURE TO THE PRESENT DAY.
With One Hundred and Twenty fine Engravings. “ 'The Illustrated London Instructor,' the third volume of the series, has a still higher aim than its predecessors—the teaching of the Art of Elocution, by selections from the best ancient and modern authors in every branch of English composition, most fitted for the purpose of eliciting and strengthening the powers of reading and speaking.' The contents are less discursive than those of the Reading-Book ;' and the 'Instructor, as its name implies, is more directly educational. The plan commences with an Essay on Elocution and Composition: though the author does not fail to enforce the importance of 'the oral example of a competent teacher-without which, all books professing to give instruction in Elocution are comparatively of little value. The selections, about one hundred in number, consist of Moral and Miscellaneous Essays; Historical and Biographical Readings; Ancient Eloquence; Natural History; and Dramatic and Poetic Readings. The masterpieces of English literature, by the elder authors, have supplied the staple of the volume; although there is an almost equal proportion of graceful compositions by living writers. These impart much novelty, whilst they do not impair the soundness of the papers, many of which treat of the higher branches of study. The Illustrations are tasteful, various, and appropriate; and are, perhaps, of more artistic design than the Engravings of the • Reading-Book.'"-ILLUSTRATED LONDON NEWS.
Just Ready, price 5s., a New and most Elegant Edition of
THE ILLUSTRATED NEW TESTAMENT,
(Authoriged Version), With upwards of One Hundred and Twenty Engravings, beautifully bound in cloth, embossed and gilt sides, gilt res. The Illustrations are from Drawings executed by eminent Artists, expressly for this Edition; with Notes, Historical, Explanatory, and Descriptive; and embellished by a novel PANORAMIC PICTURE OF THE HOLY LAND, and a VIEW OF LOWER EGYPT.
SECOND EDITION, price 2s., THE ILLUSTRATED MODERN GEOGRAPHY.
BY JOSEPH GUY, JUN., Of Magdalen College, Oxford; Author of numerous popular Educational Works. Demy 8vo, with about One Hundred Engravings of Cities, Costumes, and Wonders
of the World, &c. The Drawings are made with great care from truthful sources-a desideratum so necessary in an Elementary Geography. Nine Maps have been engraved by a patent process expressly for this Work, and are corrected to the present period.
“ Highly creditable to the compiler, while its woodcut illustrations of cities, scenery, costume, native products, and the like, do honour to the publishers, and cannot fail to impress the facts more vividly and enduringly on the minds of the pupils.”
FIFESHIRE JOURNAL. “This very attractively illustrated volume is written by Mr. Joseph Guy, of Magdalen Hall, Oxford, and is consequently a reliable text book. The work is marvellously cheap, and, as we have said, exceedingly attractive in its profuse expository and illustrative engravings.”_BIRMINGHAM JOURNAL.
“The present volume is beautifully 'got up,' and being carefully compiled, presents a complete epitome of geographical knowledge.”—TAIt's MAGAZINE.
"A class-book for young learners. The salient features of the geography of the several countries, with brief notices of their government and religion, of historical incidents, natural productions, physical characteristics, &c., are given in a concise style that is likely to make an impression on the mind of the pupil, the effect being aided by maps and numerous engravings."-BRISTOL MERCURY.