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Über die Bestimmung der Anzahl dreiachsiger Ellipsoide aus der Anzahl ihrer Schnittellipsen in zufälligen Schnittebenen

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Summary

A diagram is given for reading off the shape-factor\(\bar D\) oftri-axial ellipsoids (\(\bar D\) = average distance between parallel tangent planes over all orientations).

The knowledge of\(\bar D\) permits the calculation of the number of ellipsoids present per unit volume from the number of elliptical sections observed per unit area.

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Literaturverzeichnis

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  3. Jahnke-Emde,Tafeln Höherer Funktionen (Teubner, Leipzig 1943).

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  4. Myers, E. J.,Industry Program of the College of Engineering Quantitative Metallography of Cylinders, Cubes and other Polyhedrons. University of Michigan, Ann Arbor (1962).

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Bach, G. Über die Bestimmung der Anzahl dreiachsiger Ellipsoide aus der Anzahl ihrer Schnittellipsen in zufälligen Schnittebenen. Journal of Applied Mathematics and Physics (ZAMP) 15, 205–209 (1964). https://doi.org/10.1007/BF01602664

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  • DOI: https://doi.org/10.1007/BF01602664

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