. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. SURFACES OF DISCONTINUITY 655 of triangles is employed, viz., that the area of a triangle whose sides are a, h, c in length is l[(a + 6 + c) (6 + c - a) (c + a - 6) (a + 6 - c)]K 54' Consideration of the Case When the New Homogeneous Mass is Bounded by Spherical Lunes To follow the reasoning in the last two paragraphs of this sub- section (pp. 296,297) one must visualize somehow the form of D in. Fig. 9 this case. First imagine (Fig. 9) a thread stretched between two points
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. SURFACES OF DISCONTINUITY 655 of triangles is employed, viz., that the area of a triangle whose sides are a, h, c in length is l[(a + 6 + c) (6 + c - a) (c + a - 6) (a + 6 - c)]K 54' Consideration of the Case When the New Homogeneous Mass is Bounded by Spherical Lunes To follow the reasoning in the last two paragraphs of this sub- section (pp. 296,297) one must visualize somehow the form of D in. Fig. 9 this case. First imagine (Fig. 9) a thread stretched between two points I and m; mark two points between I and m on the thread and call them di and c?2. The thread represents the original line of discontinuity, and three surfaces B-C, C-A, A—Ball con- taining the thread divide the space round the thread into three portions, each of which contains one of the fluids^, B, C which are supposed to be in equilibrium at these surfaces. Now consider a plane drawn at right angles to the thread with di and c?2 lying on opposite sides of it. Let the thread cut 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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