. The anatomy of science. Science. 52 THE ANATOMY OF SCIENCE of two non-parallel lines. Since in our trans- formation OA goes into OB and OB into OC, we must say that A, B and C are equidistant from O. Thus we lay down the rules of a geometry which is as simple and beautiful as the geometry. Figure 6 The Three Types of Rotation of Euclid, and which has such important appli- cations that we may before long see this geome- tr}^ taught by the side of Euclid in our schools. Finally, we may set up rules for a third flat geometry in which the curve of rotation is neither circular nor asymptotic, but
. The anatomy of science. Science. 52 THE ANATOMY OF SCIENCE of two non-parallel lines. Since in our trans- formation OA goes into OB and OB into OC, we must say that A, B and C are equidistant from O. Thus we lay down the rules of a geometry which is as simple and beautiful as the geometry. Figure 6 The Three Types of Rotation of Euclid, and which has such important appli- cations that we may before long see this geome- tr}^ taught by the side of Euclid in our schools. Finally, we may set up rules for a third flat geometry in which the curve of rotation is neither circular nor asymptotic, but merely a straight line. The three types of curves of rota- tion are showTi in Figure 6. The new kind of rotation corresponds to what physicists call a. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Lewis, Gilbert Newton, 1875-1946. New Haven, Yale University Press; London, H. Milford, Oxford University Press
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