CONTENTS. XVII 



Example for illustration, art. 272, page 234. The magnitude of a globular body 

 determinate from its real weight and density, art. 273, pages 234 and 235. The 

 same determinable from its weight in air and in water, art. 274, pages 235 and 236. 

 Practical rules for ditto, art. 275, page 236. Examples for illustration, arts. 276 

 and 277, pages 236 and 237. Different bodies of equal weights immersed in the 

 same fluid, lose weights that are inversely as their densities, or directly as their 

 magnitudes, art. 278, page 237. The difference between the absolute weight of a 

 body and its weight in any fluid, is equal to the weight of an equal bulk of the 

 fluid, art. 279, page 237. If two solid bodies of different magnitudes indicate equal 

 weights in the same fluid, the larger body preponderates in a rarer medium, art. 280, 

 page 237. Under the same circumstances the lesser preponderates in a denser 

 medium, art. 281, page 238. If solid bodies when placed in the same fluid sustain 

 equal diminutions of weight, their magnitudes are equal, art. 282, page 238. To 

 determine the equipoising weight, when two bodies equally heavy in air, are placed 

 in a fluid of greater density, the densities of the bodies being different, art. 283, 

 pages 238 and 239. Practical rule for ditto, art. 284, page 239. Necessary remark, 

 ib. Example for illustration, art. 285, page 239. The ratio of the quantities of 

 matter determinable, when two bodies of different specific gravities equiponderate in 

 a fluid, art. 286, page 240. Example for illustration, art. 287, pages 240 and 241. 

 Problem respecting the equiponderating of the cone and its circumscribing cylinder, 

 art. 288, pages 241, 242, and 243. Practical rule for ditto, art. 289, page 243. 

 Example for illustration, art. 290, page 244. To compare the specific gravities of 

 a solid body, with that of the fluid in which it is immersed, art. 291, page 245. 

 Example for illustration, art. 292, page 245. To compare the specific gravities of 

 two solid bodies, when weighed in vacuo and in a fluid of given density, art. 293, 

 pages 245 and 246. Example for illustration, art. 294, page 247. The specific 

 gravities of different fluids compared, by weighing a body of a given density, art. 

 295, pages 247 and 248. Example for illustration, art. 296, pages 248 and 249. 

 Concluding remarks, ib. The specific gravity of a solid body determined by weigh- 

 ing it in air and in water, art. 297, page 249. The principle of solution explained, 

 ib. The practical rule for ditto, art. 298, page 250. Example for illustration, art. 

 299, page 250. Concluding remarks, art. 300, page 250. The specific gravity of 

 a solid body determined from that of the fluid in which it is weighed, art. 301, 

 page 251. Practical rule for ditto, art. 302, page 252. Example for illustration, 

 art. 303, page 252. The specific gravity of a solid body determined, by immersing 

 it in a vessel of water of which the weight is known, art. 304, pages 252, 253, and 

 254. Practical rule for ditto, art. 305, page 254. Example for illustration, art. 306, 

 page 254. Concluding remarks on the value of the opal, ib. 



CHAPTER XL 



OF THE EQUILIBRIUM OF FLOATATION. 



Opening remarks on floatation, page 255. The centre of gravity of the whole 

 body and that of the immersed part occur in the same vertical line, art. 307, pages 

 255 and 256. The weight of the floating body and that of the displaced fluid are 

 equal to one another, art. 307, page 256. Corresponding remarks, ib. Homogeneous 

 plane figures divided symmetrically remain in equilibrio with their axes vertical, 

 art. 308, page 257. Homogeneous solid bodies generated by the revolution of a 



