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FOURTH EDITION.

.
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.

BALTIMORE:
PUBLISHED BY F. LUCAS, JR.

V. Robinson, Printer.
*

18:20.

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District of Maryland, to wit:

BE IT REMEMBERED, that on the first day of
SEAL.

May, in the thirty-seventh year of the Inoependence
of the United States of An erıca, Fitiding Lucas,

junr, of the said district, hatb deposited in this
office, the title of a book the right whereof he claims as pro-
prietor, in the words and figurts 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.
"Cix containing rules and examples for finding the weiht
"and dimensions of balis and shells, witb their appropri-
Slate 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 mention.

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 mentione di'w di-stending the benefits thereof to the arts of de& igning, eagraving, and etching historical and other pr.nts

PUILIP MWORE,
Clerk of the District of Maryland:

ed 5

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PREFACE

BY THE EDITOR.

The many editions which Mr. Hawner'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 La learner, without working them at full length, »> and explaining every step. Thongh 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 ry good abilities would naturally become indo

lent, for want of something to exert his genius ; and a boy of a heavy disposition would be in luced to copy all his work from the book.

To remedy these inconveniences, the preprietors 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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