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ADVERTISEMENT.

In the present Treatise it has been the Author's endeavour to combine what is necessary of the Philosophy of the Science of Arithmetic with the Practice of the Art of Numbers : but it is not the purpose of the work to enter into the History of Arithmetic, which has been so amply treated of in many other publications, nor to attempt any eulogium upon its merits and practical utility, which are every day so fully evinced: it is considered sufficient to place before the student an outline of the plan which has been adopted in the arrangement, with a short account of the more important divisions, leaving him to consult the Table of Contents for particular information respecting what may be found in their more minute details.

The first Chapter commences with the elementary Definitions; it then proceeds to the explanation of Notation and Numeration, which are both exemplified in a great variety of instances; and concludes with the consideration of the Fundamental Operations of the Science as applied to pure or abstract numerical magnitudes.

In the second Chapter, the Application of the Fundamental Operations has been extended to mixed

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THE

PRINCIPLES AND PRACTICE

OF

ARITHMETIC,

COMPRISING THE

NATURE AND USE OF LOGARITHMS,

WITH THE

COMPUTATIONS EMPLOYED BY ARTIFICERS, GAGERS,

AND LAND-SURVEYORS.

DESIGNED FOR THE USE OF STUDENTS.

BY

JOHN HIND, M.A., F.C.P.S., F.R.A.S.,

LATE FELLOW AND TUTOR OF SIDNEY SUSSEX COLLEGE,

CAMBRIDGE.

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CAMBRIDGE:
PRINTED BY JOHN WILLIAM PARKER,

PRINTER TO THE UNIVERSITY.

SOLD BY

DEIGHTONS, STEVENSON, NEWBY, HALL, AND JOHNSONS, CAMBRIDGE;

AND WHITTAKER & CO., LONDON.

M.DCCC.XL.

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ADVERTISEMENT.

In the present Treatise it has been the Author's endeavour to combine what is necessary of the Philosophy of the Science of Arithmetic with the Practice of the Art of Numbers : but it is not the purpose of the work to enter into the History of Arithmetic, which has been so amply treated of in many other publications, nor to attempt any eulogium upon its merits and practical utility, which are every day so fully evinced: it is considered sufficient to place before the student an outline of the plan which has been adopted in the arrangement, with a short account of the more important divisions, leaving him to consult the Table of Contents for particular information respecting what may be found in their more minute details.

The first Chapter commences with the elementary Definitions; it then proceeds to the explanation of Notation and Numeration, which are both exemplified in a great variety of instances; and concludes with the consideration of the Fundamental Operations of the Science as applied to pure or abstract numerical magnitudes.

In the second Chapter, the Application of the Fundamental Operations has been extended to mixed

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