CONTENTS-. Xi 



pages 99 and 100. When in any vessel whatever, the sides are vertical and the 

 base parallel to the horizon, the pressure on the base is equal to the weight of the 

 fluid, art. 110, pages 100 and 101. The concave surface of a cylindrical vessel 

 divided into annuli, on which the pressures are respectively equal to the pressure 

 on the base, art. Ill, pages 101, 102, 103, and 104. The limits of possibility 

 assigned, art. 112, page 104. The equations expressed in terms of the radius, 

 art. 112, page 104. The equation generalized, art. 112, page 104. The practical 

 rule for any annulus, art. 113, page 105. Example for illustrating ditto, art. 114, 

 page 105. 



The pressure on the base of a truncated cone compared with that on its curved 

 surface, and also with the weight of the contained fluid, art. 115, pages 106, 107, 

 108, and 109. The same principle extended to the complete cone, base downwards, 

 art. 115, page 108, equations (77 and 80). Comparison completed, art. 115, corol. 

 page 109. 



The same things determined for a truncated vessel with the sides diverging 

 upwards, art. 116, pages 109, 110, and 111. For the case of the complete cone with 

 the base upwards, see equation (84). Pressure on the base compared with the 

 weight of the contained fluid, art. 117, page 112. The pressure on the base may 

 be greater or less than the weight of the contained fluid in any proportion, art. 117, 

 corol. 1, page 112. The pressure on the bottom of a vessel not dependent on the 

 quantity of the contained fluid, art.117, corol. 2, page 113. Any quantity of fluid, 

 however small, balances any other quantity, however great, art. 117, corol. 3, page 

 113. Pressure on the bottom of a cylindrical vessel equal to any number of times 

 the fluid's weight, art. 118, pages 114 and 115. Practical rule for ditto, art. 119, 

 page 115. Example for illustrating ditto, art. 120, page 115. Remarks on ditto, 

 art. 120, corollaries 1 and 2, page 116. Concluding remarks on the Hydrostatic 

 Press, page 116. 



CHAPTER VI. 



THE THEORY OF CONSTRUCTION AND SCIENTIFIC* DESCRIPTION 

 OF SOME HYDROSTATIC ENGINES, VIZ. THE HYDROSTATIC 

 PRESS, HYDROSTATIC BELLOWS, THE HYDROSTATIC WEIGHING 

 MACHINE, AND EXPERIMENTS PROVING THE QUA QUA VERSUS 

 PRESSURE OF FLUIDS. 



Principle of the Hydrostatic Press developed, art. 121, pages 117 and 118. 

 First brought into notice by Joseph Bramah, Esq., of Pimlico, art. 122, page 118. 

 Not a new mechanical power, ib. Known under the name of Hydrostatic Paradox 

 ib. Principal element by which the power is calculated, art. 123, page 119. 

 Example to illustrate ditto, art. 124, page 119. General equation for the pressure 

 on the piston of the cylinder, art. 124, equation (89), page 119. Practical rule for 

 reducing ditto, art. 124, page 120. Example for illustrating ditto, art. 125, page 

 120. General equation for the pressure on the piston of the forcing pump, art. 125, 

 equation (90), page 120. Practical rule for ditto, art. 125, page 120. Example for 

 illustrating ditto, art. 126, page 120. General expression for the diameter of the 

 piston of the cylinder, equation (91), page 121. Practical rule for ditto, art. 126, page 

 121. Example to illustrate ditto, art. 127, page 121. General expression for the 



