XV1I1 CONTENTS. 



curve, when placed upon a fluid of greater specific gravity, maintain their equili- 

 brium with the axis vertical, art. 309, page 257. Showing under what conditions 

 a prismatic hody remains in equilibrio, art. 310, page 257. The magnitude of a 

 floating body to that of the immersed part, as the specific gravity of the fluid is to 

 that of the solid, art. 311, pages 257 and 258. Examples for illustration, arts. 312 

 and 313, pages 258 and 259. General determination, art. 314, page 259. Practical 

 rule for ditto, ib. Example for illustration, art. 315, page 260. General investiga- 

 tion, ib. Practical rule and example for ditto, pages 260 and 261. Inferences 

 arising therefrom, arts. 316, 317, 318, 319, and 320, page 261. Demonstration of a 

 general principle, art. 321, page 262. To determine how far a paraboloidal solid 

 will sink in a fluid, art. 322, pages 262 and 263. Practical rule for ditto, art. 323, 

 page 264. Example for illustration, art. 324, page 264. The same determined 

 when the vertex of the figure is downwards, ib. Practical rule for ditto, art. 325, 

 page 265. The elevation or depression of a body determined, when the equilibrium 

 is disturbed by the subtraction or addition of a certain given weight, art. 326, pages 

 265 and 266. The same thing determined independently of fluxions, art. 327, pages 

 267 and 268. Practical rule for ditto, art. 328, page 268. Example for illustration, 

 art. 329, page 268. The same determined for a body in the shape of a paraboloid, 

 art. 329, pages 26& and 269. Remark on the resulting equations, art. 330, page 269. 

 The descent occasioned by adding a weight determined, art. 330, pages 269 and 

 270. Practical rule for ditto, art. 331, page 270. Example for illustration, art. 

 332, page 270. The ascent determined when a given weight is subtracted, art. 333, 

 page 270. Practical rule for ditto, art. 334, page 271. Concluding remark, art. 

 335, page 271. The weight determined which is necessary to sink a body to the 

 same level with the fluid, art. 336, pages 271 and 272. Practical rule for ditto, 

 art. 337, page 272. Example for illustration, art. 338, page 272. A solid body 

 being immersed in two fluids which do not mix, floats in equilibrio between them', 

 when the weights of the displaced fluids are together equal to the weight of the 

 body, art. 339, pages 272, 273, and 274. The quantity of each fluid displaced by a 

 cubical body determined, art. 340, pages 274 and 275. Practical rule for ditto, 

 art. 341, page 275. Example for illustration, art. 342, page 275. Another example 

 under different conditions, art. 376, page 343. The specific gravity of a solid body 

 determined, so that any part of it may be immersed in the lighter of two unmixable 

 fluids, art. 344, page 276. Practical rule for ditto, art. 345, page 277. Example for 

 illustration, art. 346, page 277. The same determined when equal parts of the body 

 are immersed in the lighter and heavier fluids, art. 347, page 277. Practical rule 

 for ditto, art. 347, page 278. Example for illustration, art. 348, page 278. The 

 same determined when the lighter fluid vanishes, art. 349, page 278. A very 

 curious property unfolded, art. 349,' page 279. The ratio of the immersed parts 

 determined, when the body floats on water, in air, and in a vacuum, art. 350, 

 pages 279 and 280. Practical rule for ditto, art. 351, page 280. Example 

 for illustration, art. 352, page 280. Remark and rule for determining the same 

 otherwise, art. 353, page 281. The Hydrometer or Aerometer introduced, art. 

 354, page 281. Improvements on ditto by various writers, art. 354, page 282. 

 Description of the instrument according to Deparcieux, art. 355, pages 282 

 and 283. The specific gravity of a fluid determined by the aerometer, art. 356, 

 pages 283 and 284. Practical rule for ditto, art. 357, page 284. Example for 

 illustration, art. 358, page 284. The immersed quantity of the stem determined, 

 art. 359, page 285. Practical rule for ditto, 360, page 285. Example for illustra- 



