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THE STATISTICAL BACKGROUND
MEASUREMENT OF VOLUME IN VOLUME
10 other sections not shown
aggregate alloy angle application arithmetic mean ASTM average number calculated cells Chap chords convex Cumulative frequency curvature curve deﬁned deﬁnition derived determined diameter element equation estimate example experimental eyepiece ﬁgure ﬁrst frequency function geometric grain boundaries grain size grain-size distribution grid intercept intersections formed isometric lineal analysis log-normal distribution magniﬁcation mean measured Metals method microscope number of grains number of intersections number of particles number of sections obtained orientation axis orientation plane parallel parameters particle size pearlite percent phase plane of polish plane section point count probability quantitative metallography random plane random variable saddle surface sample space scanner scanning secants shown in Fig sizes solid angle speciﬁc specimen standard deviation statistical subtended surface area system of lines Table tangent test line test plane three-dimensional structure tion topological topological invariant total number Trans traverse truncated octahedron unit area unit length unit volume volume fraction