Geometry, Relativity and the Fourth DimensionCourier Corporation, 8. juni 2012 - 160 sider This is a highly readable, popular exposition of the fourth dimension and the structure of the universe. A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately. |
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... parallel to m ( Figure 38 ) . It is under- stood here that lines are said to be parallel when they do not intersect . The Fifth Postulate could fail to hold in two different ways . It might be that there were no lines through P parallel ...
... Fifth Postulate to be false in our space . There were two sorts of reasons given for this belief . The first reason was that God would not have botched his work . The idea was that space was an almost divine , eternally existing ...
... Fifth Postulate fails . It fails on the sphere when you take great circles to be " straight lines , " since every two great circles intersect each other . Say you take a great circle m and a point P not on m and try to find a great ...
... parallels pos- tulate " holds . Recall that the Fifth Postulate said that , given a line m and point P not on m , there is exactly one line n that passes through P and never intersects m . The sphere and the Flat Sphere were models ...
... Fifth Postulate . On the Flat Saddle , for instance , he could go and go and go , watching two lines that looked as if they ought to intersect eventually , but he would never know if they really did fail to intersect , or if he just ...