. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. 646 RICE ART. L ca, ah will be circular with their convexity outward if po > y^, but with their convexity inward if po Pa or po < Pa, etc. If Pd = Pa; of course be is straight. (To avoid awkward digression later we deal with a few geometrical facts. Fig. 7 now. The total eurvature of a limited curved line is the exterior angle between the tangents at its extreme points and is equal to the sum of the two angles between the chord joining these points and the tangents. T
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. 646 RICE ART. L ca, ah will be circular with their convexity outward if po > y^, but with their convexity inward if po Pa or po < Pa, etc. If Pd = Pa; of course be is straight. (To avoid awkward digression later we deal with a few geometrical facts. Fig. 7 now. The total eurvature of a limited curved line is the exterior angle between the tangents at its extreme points and is equal to the sum of the two angles between the chord joining these points and the tangents. The angles of a curvilinear triangle are the angles between the pairs of tangents drawn to pairs of adjacent sides where they meet. It will be easily seen that the excess of the sum of the angles of a curvilinear triangle over two right angles is equal to the algebraie sum of the total curvatures. 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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Keywords: ., bookcentury1900, booksubjectscience, booksubjectthermodynamics
