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PRACTICAL

APPLIED MATHEMATICS

BY

JOSEPH W. L. HALE, S. B., E. E.

WITH THE MASSACHUSETTS BOARD OF EDUCATION; FORMERLY ASSOCIATE
PROFESSOR OF ENGINEERING, THE PENNSYLVANIA STATE COLLEGE,
DETAILED AS SUPERVISOR APPRENTICE SCHOOLS, PENNSYLVANIA
LINES EAST OF PITTSBURGH AND ERIE; MEMBER OF THE
NATIONAL ASSOCIATION OF CORPORATION SCHOOLS;

MEMBER OF THE NATIONAL SOCIETY FOR THE PRO-

MOTION OF INDUSTRIAL EDUCATION; ASSO-

CIATE MEMBER OF THE AMERICAN INSTI-

TUTE OF ELECTRICAL ENGINEERS

FIRST EDITION
SEVENTH IMPRESSION

MCGRAW-HILL BOOK COMPANY, INC.

NEW YORK: 370 SEVENTH AVENUE
LONDON: 6 & 8 BOUVERIE ST., E. C. 4

1915

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1915, BY THE BOOK COMPANY, INC.

and abroad.

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