Four-Dimensional Vistas by Claude Fayette Bragdon
page 16 of 116 (13%)
page 16 of 116 (13%)
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beginning of recorded time, the earth, together with the other
planets and the sun, has been speeding through interstellar space at the rate of 300,000,000 miles a year, without meeting or passing a single star. A ray of light, travelling with a velocity so great as to be scarcely measurable within the diameter of the earth's orbit, takes years to reach even the nearest star, centuries to reach those more distant. Viewed in relation to this universe of suns, our particular sun and all its satellites--of which the earth is one--shrinks to a point (a _physical_ point, so to speak--not geometrical one). The mind recoils from these immensities: let us forsake them, then, for more familiar spaces, and consider the earth in its relation to the sun. Our planet appears as a _moving_ point, tracing out a _line_--a _one-space_--its path around the sun. Now let us remove ourselves in imagination only far enough from the earth for human beings thereon to appear as minute moving things, in the semblance, let us say, of insects infesting an apple. It is clear that from this point of view these beings have a freedom of movement in their "space" (the surface of the earth), of which the larger unit is not possessed; for while the earth itself can follow only a _line_, its inhabitants are free to move in the two dimensions of the surface of the earth. Abandoning our last coign of vantage, let us descend in imagination and mingle familiarly among men. We now perceive that these creatures which from a distance appeared as though flat upon the earth's surface, are in reality erect at right angles to its plane, and that they are endowed with the power to move their members in _three dimensions_. Indeed, man's ability to traverse the surface |
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