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BY

W. J. MACQUORN RANKINE, C.E., LL.D., F.R.S.,

LATE REGIUS PROFESSOR OF CIVIL ENGINEERING IN

THE UNIVERSITY OF GLASGOW.

In Crown 8vo, Cloth.

I.

A MANUAL OF APPLIED MECHANICS. Tenth Edition 12s. 6d.

II.

A MANUAL OF CIVIL ENGINEERING, Fourteenth Edition. 16s.

III.

A MANUAL OF MACHINERY AND MILLWORK. Fourth Edition. 12s. 6d.

IV.

A MANUAL OF THE STEAM-ENGINE AND OTHER PRIME MOVERS. Tenth Edition. 12s. 6d.

V. USEFUL RULES AND TABLES FOR ENGINEERS AND

Others. With Appendix for the use of Electrical Engineers. By PRINCIPAL JAMIESON, C.E., F.R.S.E. Sixth Edition. 10s. 6d.

VI.

A MECHANICAL TEXT-BOOK; or, Introduction to the Study of

Mechanics. By Professor RANKINE and E. F. BAMBER, C.E. Second Edition.

98.

VII.

Royal 8vo, Cloth, Price 31s. 6d.
MISCELLANEOUS SCIENTIFIC PAPERS.
PART I.-Papers relating to Temperature, Elasticity, and the Expansion of Vapours,

Liquids, and Solids.
PART II.—Papers on Energy and its Transformations.
PART III.-Papers on Wave-Forms, Propulsion of Vessels, &c.
With MEMOIR by P. G. TAIT, M.A., Professor of Natural Philosophy in the

University of Edinburgh. Edited by W.J. MILLAR, C.E.

With fine Portrait on Steel, Plates, and Diagrams.

" From the nature of his discoveries and the beauty and completeness of his analysis, this collection of Professor Rankine's Papers is most valuable.

The volume exceeds in importance any work in the same department published in our time."-Architect.

“To all who concern themselves with the History of the Sciences, this volume will be of great and permanent value

so various and so profound are the dissertations here collected, so many questions, as interesting as they are difficult, do they open up."-Engineer.

LONDON: CHARLES GRIFFIN AND COMPANY.

RULES AND TABLES

RELATING TO

MENSURATION, ENGINEERING, STRUCTURES,

AND MACHINES.

BY

WILLIAM JOHN MACQUORN RANKINE,

ENGINEER; LL.D. TRINITY COLLEGE, DUBLIN; F.R.SS. LOND. AND EDIN.; F.R.S.S.A.;
LATE REGIUS PROFESSOR OF CIVIL ENGINEERING AND MECHANICS

IN THE UNIVERSITY OP GLASGOW

SIXTH EDITION, THOROUGHLY REVISED,

BY

W. J. MILLAR, C. E.,

SECRETARY, INST. OF ENGINEERS AND SHIPBUILDERS IN SCOTLAND.

WITH APPENDIX: TABLES, TESTS, AND FORMULA FOR

THE USE OF ELECTRICAL ENGINEERS,

BY

ANDREW JAMIESON, O.E., F.R.S.E.

LONDON:
CHARLES GRIFFIN AND COMPANY,
EXETER STREET, STRAND.

1883.

[The Right of Translation Reserved.]

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PREFACE TO THE SIXTH EDITION.

The Sixth EDITION has been carefully revised, additional information being added to the Appendix ; there has also been added a valuable contribution on Electrical Science and Practice by Principal JAMIESON, C.E., F.R.S.E.

The Index has further been remodelled and very much extended, and will thus prove more useful for reference to Students.

W. J. M.

GLASGOW, December, 1882.

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