. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. SURFACES OF DISCONTINUITY 531 volume density cr/f. Consequently de^ will be equal to the product of o-/f and the difference in the volumes of the elements just mentioned. On working this out we shall be able to obtain some information concerning the order of magnitude of C and justify the statements which Gibbs makes on this point in the paragraph beginning at the middle of page 227. It is true he begins the paragraph with the words: "Now we may easily convince ourselv
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. SURFACES OF DISCONTINUITY 531 volume density cr/f. Consequently de^ will be equal to the product of o-/f and the difference in the volumes of the elements just mentioned. On working this out we shall be able to obtain some information concerning the order of magnitude of C and justify the statements which Gibbs makes on this point in the paragraph beginning at the middle of page 227. It is true he begins the paragraph with the words: "Now we may easily convince ourselves by equation [493] ..." but the reader may well be pardoned if he doubts whether conviction is so readily. obtained. Since the solid angle subtended by A 'B' at the centre of the sphere is s/W, it is proved by well-known propositions in solid geometry that the volume of the spherical film C'D'E'F' is 3 R -{{R-\-^ -xY- {R-xY], since R — x\q the radius of the sphere on which E'F' lies and R -\- ^ — X the radius of that on which CD' lies, R being the. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donnan, F. G. (Frederick George), 1870-1956; Haas, Arthur Erich, 1884-1941. New Haven, Yale University Press; London, H. Milford, Oxford University Press
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