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Excerpt from Triangles in Space or Building (and Analyzing) Castles in the Air At various points in our analysis we will have to consider planar arrangements of segments which are similar to the 3-dimensional case, partitions of a plane into faces, edges, and vertices induced by a collection of segments in that plane. As a bounded face of such an arrangement need not be simply connected, its boundary will in general consist of a single outer component that encloses the entire face and zero or more islands each enclosing a portion of the plane that does not belong to the face. An unbounded face has a similar structure, except its boundary does not have anouter component. 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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