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Excerpt from Point-Sampling and Line-Sampling: Probability Theory, Geometric Implications, Synthesis Ring radius will be a gauge-determined constant (k) multiplied by tree radius if a horizontal gauge is used, or it will be a gauge-determined constant (q) multiplied by tree height if a vertical gauge is used. Laying out these imaginary rings on the ground with an angle-gauge (as in fig. 13 and 2b) is not necessary, however, since the vertex of the angle-gauge at the sample point is known to be inside the ring when ever the tree diameter or height appears larger than the gauge, and outside whenever it appears smaller. Hence, an angle-gauge with its vertex at a sample point can be used to identify all sample trees within whose rings the sample point lies. As can be seen from figures 1b and 2b, trees of different sizes have different chances of having a sampling point fall within their rings. With the horizontal gauge, the probability is proportional to the square of d. B. H. (i.e. To tree basal area); with the vertical gauge, to the square of tree height. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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