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Open AccessJournal ArticleDOI

Linear Intercepts, Areas and Volumes

S. I. Tomkeieff
- 01 Jan 1945 - 
- Vol. 155, Iss: 3923, pp 24-24
TLDR
In this paper, the surface area and volume of small objects are estimated based on the measurement of their average linear intercept (mean chord) and two theorems related to the average lin intercepts.
Abstract
IN recent correspondence, Mr. P. A. P. Moran1 has suggested a simple method of finding the surface area of small objects from their average area of projection. Another simple method of finding the surface area and also the volume of small objects is based on the measurement of their average linear intercept (mean chord). Some years ago, while working on the determination of the grain-size of rocks, I derived two formulae and discovered two theorems related to the average linear intercepts. The formulae can be applied to the calculation of the average grain-size in granular aggregates in which the sizes and the shapes of grains are the same. The theorems, so far as I can see, have a purely academic interest, although their application to granular aggregates may be attempted.

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CORRELATED MORPHOMETRIC AND BIOCHEMICAL STUDIES ON THE LIVER CELL I. Morphometric Model, Stereologic Methods, and Normal Morphometric Data for Rat Liver

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An Official Research Policy Statement of the American Thoracic Society/European Respiratory Society: Standards for Quantitative Assessment of Lung Structure

TL;DR: The lung poses special challenges, some of which are outlined below and discussed in later sections: Heterogeneity of lung structure requires standardized preparation methods, and the practice of picking specific samples or sections often fails to account for regional heterogeneity, leading to biased conclusions with respect to the whole organ.
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A quantitative stereological description of the ultrastructure of normal rat liver parenchymal cells

TL;DR: Structural homogeneity is found in over 80% of normal rat liver parenchymal cells, with most of the significant differences being confined to those cells immediately surrounding the central veins.
References
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Journal ArticleDOI

Temporary Ponds, a Neglected Natural Resource*

TL;DR: In the past little attention has been paid to ponds of this kind, except by specialists as discussed by the authors, who examined them in Great Britain, Denmark, Sweden, Siberia1, Canada2, Australia and Africa.