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L
A TKEATISE ON
ANALYTICAL
STATICS.
EonDon- C. J. CLAY and SONS,
CAMBRIDGE UNIVERSITY PRESS WAREHOUSE,
AVE MARIA LANE.
GLASGOW: 263, ARGYLE STREET.
LEIPZIG: F. A. BROCKHAUS.
NEW YORK: MACMILLAN AND CO.
BOMBAY: GEORGE BELL AND SONS.
^g
\
A TEEATISE ON
ANALYTICAL
STATICS
WITH NUMEROUS EXAMPLES
BT
EDWARD JOHX ROUTH,
Sc.D., LL.D. M.A., F.R.S., &c.,
HON. FELLOW OF PETEKHOUSE, CAMBniDOE
FELLOW OF THE UNIVERSITY OF LONDON. ;'
VOLUME
I.
SECOND EDITION
CAMBRIDGE
AT THE UNIVERSITY PRESS
1896
[All Rights reserved.]
Fir$t Edition IWDI
"'Wid Edition 1896
CAMBRIDGE: PKINTI liy j. AND C. K. CLAY,
AT THE CNIVKnSITY PRESS.
PREFACE.
1~\URING many years it has been my duty and pleasure to
"^"^ give courses of lectures on various Mathematical subjects
to successive generations of students. The course on Statics
has been made the groundwork of the present treatise. It has
however been necessary to make many additions; for in a treatise
all pirts of the subject must be discussed in a connected form,
while in a series of lectures a suitable choice has to be made.
A portion only of the science of Statics has been included in
this volume. It is felt that such subjects as Attractions, Astatics,
and the Bending of rods could not bo adequately treated at the
end of a treatise without either making the volume too bulky
or requiring the other parts to be unduly curtailed. These re-
maining portions appear in the second volume.
In order to learn Statics it is essential to the student to work
numerous examples. Besides some of my own construction, I
have collected a large number from the University and College
Examination papers. Some of these are so good as to deserve to
rank among the theorems of the science rather than among the
examples. Solutions have been given to many of the examples,
sometimes at length and in other cases in the form of hints when
these appeared sufficient.
I have endeavoured to refer each result to its original author.
I have however found that it is a very difficult task to effect this
R. s. I. 6
