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MATHEMATICAL TABLES.

Printed by S. Hamilton, Weybridge.

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To which is prefixed,
A LARGE AND ORIGINAL HISTORY OF THE DISCOVERIES AND WRITINGS

RELATING TO THOSE SUBJECTS;

WITH THE

COMPLETE DESCRIPTION AND USE OF THE TABLES.

THE FIFTH EDITION.

BY CHARLES HUTTON,

LL.D. F.R.S. &c.
AND LATE PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY,

WOOLWICH.

LONDON:
PRINTED FOR F. C. AND J. RIVINGTON; WILKIE AND ROBINSON;

J. WALKER; LACKINGTON, ALLEN, AND CO.; VERNOR, HOOD, AND
SHARPE; C. LAW; LONGMAN, HURST, REES, ORME, AND BROWN;
BLACK, PARRY, AND KINGSBURY; J. RICHARDSON; L. B. SEELEY;
J. MURRAY; R. BALDWIN; SHERWOOD, NEELY, AND JONES; GALE
AND CURTIS; J. JOHNSON AND CO.; AND G. ROBINSON.

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PREFACE.

The very ample introduction, prefixed to the following collection of Mathematical Tables, supersedes the necessity of using many words here by way of preface, and leaves little more to be mentioned than the necessity and occasion of this work, with some account of the contents and mode of execution.

The undertaking was occasioned by the great incorrectness of all the editions of Sherwin's or Gardiner's tables, and more especially by the bad arrangement in the fifth or last edition. Finding, as well from the report of others, as from my own experience, that those editions (to say nothing of the very improper alteration in the form of the table of sines, tangents, and secants in the last of them) were so very incorrectly printed, the errors being multiplied beyond all tolerable bounds, and no dependence to be placed on them for any thing of real practice, I was led to undertake the painful office of preparing a correct edition of another similar work. And I was lucky enough to meet with a bookseller of sufficient spirit to be at the great expense of printing the book, as well as to allow me what I demanded for my trouble in preparing it; which demand, however, was nothing adequate to the great labour attending it, as I was well aware that the profits of the book would not enable him fully to reward my pains.

I have in the first place, therefore, used all the means in my power to render the work correct. I began by collating the third or best edition of Sherwin's tables, with some others of the most perfect works of the same kind, as Briggs's, Vlacq's, Gardiner's quarto book, &c; by which means I detected many errors in each of them, which had not before been discovered ; and of these, between twenty and thirty were in the two editions of Gardiner's quarto work, printed at London in 1742, and at Avignon in 1770; the errata of which two books are here printed at the end

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