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Excerpt from Precise Implementation of Cad Primitives Using Rational Parametrizations of Standard Surfaces If for the moment we ignore the computational cost factor on which Wesley lays a very justified stress, it becomes possible for an ideal geometric modeling system to deal with arbitrary bodies and surfaces. There do exist general algorithmic techniques for deciding all the questions about such bodies which a geometric modeling system needs to ask. These techniques derive from Tarski's general method for deciding quantified formulae in the elementary theory of reals, which has been improved substantially by various other authors in the years since Tarski's original paper: see and [8881] for a. 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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