THE ELEMENTS

OF

HYDROSTATICS

AND

HYDRODYNAMICS

BY W. H. MILLER, M. A.

FELLOW AND TUTOR OF ST. JOHN'S COLLEGE, CAMBRIdge.

CAMBRIDGE:

Printed by J. SMITH, Printer to the University.

FOR J. & J. J. DEIGHTON, CAMBRIDGE;
AND J. G. & F. RIVINGTON, LONDON.

M.DCCC.XXXI.

CONTENTS.

SECTION I.

GENERAL PROPERTIES OF FLUIDS...

Page 1.

Art. 1. Definition of a fluid. 2. Of pressure. 3. Measure of
pressure. 4. A fluid may become solid without disturbing its equili-
brium. 5. Fluids press equally in all directions. 6. Equilibrium of
forces applied to pistons. 7. Virtual velocities of the pistons are as
the forces applied to them.

SECTION II.

ON THE EQUILIBRIUM OF NON-ELASTIC FLUIDS ACTED ON BY

GRAVITY

P. 4.

Art. 8. Definition of specific gravity. 9. Of density. 10. Rela-

tions between W, M, V, S, D, g. 11. The surface of equal pressure

is a horizontal plane. 12. The pressure at any point. 13. The sur-

face of a fluid is a horizontal plane. 14. The common surface of two

fluids that do not mix is a horizontal plane. 15. When two fluids

that do not mix, meet in a bent tube, their altitudes above their

common surface are inversely as their densities. 16. The pressure of

a fluid on any surface. 17. The centre of pressure of a plane surface.

18. The vertical pressure of a fluid on any surface. 19. The pressure

estimated in a direction perpendicular to a given vertical plane.

20. Effect of pressure applied to the surface of a fluid. 21. The

resultant of the pressure of a fluid on the surface of a solid immersed

in it. 22. The conditions of equilibrium of a solid suspended in a

fluid by a string. 23. The positions in which a solid can float in

equilibrium. 24. The vertical oscillations of a floating solid. 25. Sta-

ble and unstable equilibrium. 26. Metacentre. 27. Oscillations of

a solid in a vertical plane.