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ON A NEW PLAN:

DESIGNED AS A

SUPPLEMENT

TO THE AUTHOR'S ENGRAVED

INTRODUCTION TO ARITHMETIC;

AND INTENDED TO ANSWER THE DOUBLE PURPOSE OF

ARITHMETICAL INSTRUCTION

AND

MISCELLANEOUS INFORMATION.

TO WHICH ARE SUBJOINED,

OBSERVATIONS ON WEIGHTS AND MEASURES,
WITH A COMPLETE COLLECTION OF ARITHMETICAL TABLES,

AND EXPLANATORY REMARKS.

FOR THE USE OF YOUNG LADIES.

By

WILLIAM BUTLER,

TEACHER OF WRITING, ACCOUNTS, AND GEOGRAPHY, IN
LADIES SCHOOLS, AND IN PRIVATE FAMILIES.

Numerorum notitia cuicunque primis faltem literis erudito neceffaria est.
QUINTILIANI de Inftitutione Oratoria, lib. I. cap. 10.

Arithmetic is of so general ufe, in all parts of life and business, that scarcely
any thing is to be done without it.
LOCKE's Treatife on Education

He that requires the attention and application of children, should endeavour
to make what he propofes as grateful and agreeable as possible.

THE SECOND EDITION,

London:

ENLARGED.

PRINTED FOR THE AUTHOR,

Ibid.

BY S. COUCHMAN, No. 10, THROGMORTON-STREET;
AND SOLD BY C. DILLY, IN THE POULTRY.

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PREFACE.

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T has been well remarked, that "it is every man's duty who comes into the world, to use his beft endeavours, however infignificant, to leave it as much wifer, and as much better as he can. If this obfervation inculcates a general duty, it applies, with peculiar force, to perfons engaged in inftruction by their profeffion. Viewing the admonition in this obligatory light, I conftantly endeavour to render the several parts of my professional occupation as fubfervient to the great end it aims to promote, as their nature will admit. Upon this plan most of the following questions have been compofed, which, with feveral others of a similar kind, but on a more confined scale, have been long dif tributed among my own scholars; and I have often had the fatisfaction of finding them fignally inftrumental in infpiring a defire of more extenfive and circumftantial information. The hope of rendering the questions more generally useful, and the defire of removing the toil of frequent tranfcription, are my motives for the publication of them. I am nevertheless aware, that the accomplishment of the former far more important view, depends greatly upon the exertions of the teacher. Should he, inheriting the apathy of Mrs. Shandy, esteem it a matter of utter indifference whether the world turns round or ftands ftill;" he will, of course, benefit his pupils just as much by the common fumns, as by any that could be felected for him. But other inftructors, of more animation and zeal, will occafionally require minute accounts of the hiftorical, geographical, chronological, and other subjects, which had before ferved as arithmetical themes. They will, perhaps, with the author, deem the time when the scholars are affembled in claffes to repeat their tables (which, I fhall take for granted, is always once a week) the best suited for promoting general emulation, and diffeminating the defired

A

knowledge

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