X CONTENTS. 



73. Corollary to ditto, art. 84, page 74. Practical rules for ditto, art. 85, page 

 73. Example for illustrating ditto, art. 86, page 74. Corollaries on ditto, art. 87, 

 page 75. 



Pressure on a semi-parabolic plane, compared with that upon its circumscribing 

 parallelogram, art. 88, pages 75, 76, and 77. Practical rule for ditto, art. 89, 

 page 77. Example for illustrating ditto, art. 90, page 77. The same determined 

 when the axis of the semi-parabola is horizontal, art. 91, pages 78 and 79. Practi- 

 cal rules for ditto, art. 92, page 79. Example for illustrating ditto, art. 93, page 79. 

 The centre of gravity of the included space determined, art. 94, pages 80, 81, and 

 82. Construction of the figure, art. 94, pages 82 and 83. Remark on ditto, art. 

 94, page 83. 



Parabolic plane with axis vertical, and vertex in contact with the surface of the 

 fluid, divided by a horizontal line into two parts sustaining equal pressures, art. 95, 

 pages 83, 84, and 85. Practical rule for ditto, art. 96, page 85. Example for 

 illustrating ditto, art. 97, pages 85 and 86. The same things determined generally, 

 art. 97, pages 86 and 87. Example for illustrating ditto, art. 97, page 87. 



CHAPTER IV. 



OF THE PRESSURE OF INCOMPRESSIBLE FLUIDS ON CIRCULAR 



PLANES AND ON SPHERES IMMERSED IN THOSE FLUIDS, 



THE EXTREMITY OF THE DIAMETER OF THE FIGURE BEING 

 IN EACH CASE IN EXACT CONTACT WITH THE SURFACE OF 



; THE FLUID. 



Chord of maximum pressure in a circular plane determined, art. 98, pages 88 

 and 89. Construction effected, corollaries 1 and 2, page 89. Practical rules for 

 calculating ditto, art. 99, page 90. Example for illustrating ditto, art. 100, page 

 90. Pressures on two immersed spheres determined and compared, art. 101, 

 pages 90 and 91. A globe being filled with fluid, the pressure on the interior 

 surface is three times the weight of the contained fluid, art. 101, corol. page 92. 

 Example for illustrating ditto, art. 102, page 92. The exterior surface of a sphere 

 divided by a horizontal circle into two parts sustaining equal pressures, art. 103, 

 pages 92, 93, and 94. Practical rule for ditto, art. 104, page 94. Example for 

 illustrating ditto, art. 105, page 94. The solution generalized, art. 106, page 95< 

 Practical rule for the general solution, art. 107, page 95. 



CHAPTER V. 



OF THE PRESSURE OF NON-ELASTIC OR INCOMPRESSIBLE FLUIDS 

 AGAINST THE INTERIOR SURFACES OF VESSELS HAVING THE 

 , FORMS OF TETRAHEDRONS, CYLINDERS, TRUNCATED CONES, 

 &C. 



Pressure on the base of a tetrahedron compared with the pressure on its sides, 

 art. 108, pages 96, 97, and 98. Comparison effected, corol. page 98. Pressure on 

 the base of a cylinder compared with the pressure on its upright surface, art. 109, 



