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  • 1
    Electronic Resource
    Electronic Resource
    Intersections of ellipsoids and planes of arbitrary orientation and position (1979)
    Springer
    Mathematical geology 11 (1979), S. 329-336 
    Details
    ISSN: 1573-8868
    Keywords: analytic geometry ; petrography ; stereology ; computer simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper considers an ellipse, produced by the intersection of a triaxial ellipsoid and a plane (both arbitrarily oriented), and derives explicit expressions for its axis ratio and orientation. The relationship between central and noncentral sections, and the problem of intersection probability, are discussed. The resulting equations have obvious applications in structural geology and optical mineralogy, and in stereological modeling of grain-size and grain-shape distributions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01034997
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the stereology of a spherical segment of one base, with applications to the petrography of “cleavage domes” in a metagreywacke (1977)
    Springer
    Mathematical geology 9 (1977), S. 605-617 
    Details
    ISSN: 1573-8868
    Keywords: stereology ; metamorphic petrography ; Monte Carlo sampling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Dome-shaped concentrations of mica adjacent to garnet porphyroblasts in a hornfelsed metagreywacke are seen in thin-section as “cleavage arcs.” This paper examines some of the stereological relationships between dome shape and are shape by modelling the domes as spherical segments of one base. The relationship between the true thickness of mica flakes within the domes and their apparent thickness as measured in thin section is also derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02067216
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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