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He soon found it, and cut in the visualizer the stereographic device, in parallel with Solon's own brain recorder, which projected a three-dimensional picture into the "viewing-area" or dark space of the cabinet. Crane and Dunark, tense and silent, looked on in strained suspense as, minute after minute, the silent battle of wills raged.
But although these spaces do not have to one another the same kind of spatial relations as obtain between the parts of one of them, it is nevertheless possible to arrange these spaces themselves in a three-dimensional order.
All the facts and figures are here in the folder and you can study them later. Right now I want you just to get the idea that this planet is as loathsome and inhospitable as they come. So are the people. This is a solido of a Disan." Lea gasped at the three-dimensional representation on the screen.
By means of such considerations it is possible, in ways which need not now be further specified, to arrange all the different spaces in a three-dimensional series.
From the surface of still water we may get a clear reflection of the surrounding objects, just as from a mirror; but at the best it is only a reflection a representation in two dimensions of three-dimensional objects, and therefore differing in all its qualities, except colour, from that which it represents; and in addition to this, it is always reversed.
Rather must it be said that we were not prepared to deny the possibility of certain unfamiliar and unclassified modifications of vital force and attenuated matter; existing very infrequently in three-dimensional space because of its more intimate connection with other spatial units, yet close enough to the boundary of our own to furnish us occasional manifestations which we, for lack of a proper vantage-point, may never hope to understand.
This is only possible within a space of three dimensions, in which, owing to perspective distortions and changes, these variations of projection can be reconciled with the constancy of the form of a body." Thus we have come to the idea of a three-dimensional space in order to overcome the apparent contradictoriness of facts of sensible experience.
One section of the film was always under the viewing mechanism an optical system projecting an undistorted image into a visiplate plate somewhat similar to their own and at the touch of a lever, a small atomic motor turned the reels and moved the film through the projector. It was not an ordinary star-chart: it was three-dimensional, ultra-stereoscopic.
For, although a building is a three-dimensional solid in reality, each view of it is a two-dimensional surface, bounded by lines and divided and diversified within by other lines. Now these lines have their life and beauty like the lines of a picture.
He had been unable to pray for purity, since he felt it an ideal ridiculously not indigenous to this richly-coloured three-dimensional universe, and he had observed that it made men liable to infatuations in later life; but he had prayed for lust, which he knew to be the most drastic preventive of love. But it had evaded him as virtue evades other men.
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