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LONDON

PRINTED BY SPOTTISWOODE AND CO.

NEW-STREET SQUARE

USEFUL INFORMATION

FOR ENGINEERS.

BEING A SERIES OF LECTURES DELIVERED

BEFORE THE WORKING ENGINEERS OF YORKSHIRE AND LANCASHIRE ;
TOGETHER WITH A SERIES OF APPENDICES CONTAINING THE RESULTS OF

EXPERIMENTAL INQUIRIES INTO THE STRENGTH OF MATERIALS,

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PRESIDENT OF THE LITERARY AND PHILOSOPHICAL SOCIETY OF MANCHESTER;
CORRESPONDING MEMBER OF THE NATIONAL INSTITUTE OF FRANCE AND

OF THE ROYAL ACADEMY OF TURIN; CHEVALIER OF THE

LEGION OF HONOUR; ETC.

FOURTH EDITION.

NATY

LONDON:

LONGMAN, GREEN, LONGMAN, ROBERTS, & GREEN.

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