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WITH AN APPENDIX CONTAINIG RULES AND EXAMPLES FOR FIND-
ING THE WEIGHT AND DIMENSIONS OF BALLS AND SHELLS,
WITH THEIR APPROPRIATE QUANTITIES OF POWDER.

REVISED AND CORRECTED BY JOHN D. CRAIG,
PROFESSOR OF MATHEMATICS.

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District of Maryland, to wit:

SEAL

BE IT REMEMBERED, that on the first day of May, in the thirty-seventh year of the Independence of the United States of An erica, Fielding Lucas, junr, of the said district, hath deposited in this office, the title of a book the right whereof he claims as proprietor, in the words and figures following, to wit:

"Hawney's Complete Measurer: or, the whole art of meas "uring Being a plain and comprehensive treatise on "practical geometry and mensuration. Corrected and "improved by T. Keith Fourth edition, with an appen"dix containing rules and examples for finding the weight "and dimensions of balis and shells, with their appropri"ate quantities of powder Revised and corrected by "John D Craig, professor of Mathematics."

In conformity to the act of the congress of the United States, intitled, "An act for the encouragement of learning by securing the copies of maps, charts and books, to the authors and proprietors of such copies during the times therein mentioned" And also to the act, intitled "An act supplementary to the act intitled, 'An act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned,'d extending the benefits thereof to the arts of designing, engraving, and etching historical and other pr.nts'

PHILIP MOORE, Clerk of the District of Maryland

PREFACE

BY THE EDITOR.

THE HE many editions which MR. HAWNEY'S Treatise on Mensuration has gone through, are evident proofs of its general utility. But at the time when this work was first published, it was not the practice in schools for each scholar to have a printed book by him, while engaged in the study of arithmetic and mensuration; consequently MR. HAWNEY gave no particular examples as exercises for a learner, without working them at full length, and explaining every step. Though this was perhaps originally an advantage to the book, it precluded the use of it in our modern schools; for with such assistance, a boy of ✅ good abilities would naturally become indolent, for want of something to exert his genius; and a boy of a heavy disposition would be induced to copy all his work from the book.

To remedy these inconveniences, the proprietors of the work engaged the present editor to make such alterations and additions as would render it useful in schools, without diminishing its former plainness and perspicuity.

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