The book Mathematical Essays And Recreations was written by author Hermann Schubert Here you can read free online of Mathematical Essays And Recreations book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Mathematical Essays And Recreations a good or bad book?
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mathematicians to the space from which the spirit-friends of the spiritualistic mediums entertain us with rappings, knockings, and bad EngHsh. Before taking this step we will first discuss the ques- tion of the real existence of a four-dimensional space, not deciding the question whether this space, if it really does exist, is inhabited by reasonable beings who consciously act upon the world in which we exist. Among the reasons which are put forward to prove the exist- ence of a four-dimensiona...l space containing the world, the least rep- rehensible are those which are based on the existence of symmetry. We spoke above of two triangles in the same plane which have all Fig. 38. their sides and angles congruent, but which cannot be made to co- incide by simple displacement within the plane ; but we saw that this coincidence could be effected by holding fast one side of one triangle and moving it out of its plane until it had been so far turned round that it fell back into its plane. Now something similar to this exists in space.
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