Sidebilder
PDF
ePub

13936.15

SOLUTIONS

OF THE

CAMBRIDGE PROBLEMS,

FROM 1800 TO 1820.

BY I. M. F. WRIGHT, B.A.,

LATE SCHOLAR OF TRINITY COLLEGE, CAMBRIDGE.

THE FIRST EDITION REVISED.

VOL. I.

BLACK AND ARMSTRONG,

(FOREIGN BOOKSELLERS TO THE KING,)
TAVISTOCK-STREET, COVENT-GARDEN.

MDCCCXXXVI.

[blocks in formation]

PREFACE

TO THE REVISED EDITION.

[ocr errors]

THE volume containing the questions themselves, entitled Cambridge Problems, or a Collection of the Questions, &c.,' which comprised the enunciations of the problems solved in this work, having long been out of print and being very scarce, it was considered essential to the further utility of these pages that they should go again forth to the public accompanied by a reprint of those enunciations. Accordingly the questions that are actually here solved, omitting all such as are termed 'book-work,' and not problems, are made to precede the solutions, with a reference at each to the number of its solution in either volume. For the convenience also of those who may already possess the solutions without the questions, this reprint of the enunciations is published separately.

The work has been carefully revised throughout its entire extent, and many of the solutions, where any doubt existed in the author's mind as to their accuracy, re-wrought by two of his pupils; but although some errors have been found to have escaped him at first, the result has been such as to convince him that the work was originally composed with more than usual care and assiduity. Indeed, besides the Corrigenda and Addenda' appended to the last edition, it has been found necessary to make but two alterations of any importance, which are to be found in articles 502 and 611 of Vol. I., in the former of which the arbitrary constants had been omitted, and in the latter the question itself, being imperfectly stated, had led to errors in the reasoning. New solutions are given in both instances. But whatever defects may still be found in a work of such extraordinary magnitude and variety of research, the reader will easily discover that no labour or expense has been spared to render it as immaculate and as useful, which is a far more important consideration, as the nature and extent of the subjects which it treats, and the fallibility of all things human, will admit.

It may not be quite irrelevant to a work of this nature, considering that it is honoured by the perusal of many persons not educated there, to contain a slight sketch of the system pursued at the University of Cambridge; and the less so from the attacks that have recently been perpetrated against that institution, not only by persons who are totally ignorant of the nature of its workings, but by those who have had every opportunity of noticing and appreciating them-but whose merited disappointments have rendered them malignant.

[ocr errors]
[ocr errors]

An Undergraduate commences his course as a Freshman,' or FirstYear-Man,' with Euclid, which occupies the lectures during the First Term. Algebra is given to the Second Term; and the Third Term is

« ForrigeFortsett »