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That Space, as our mathematicians have it, is spoken of as having three dimensions, which one may call Length, Breadth, and Thickness, and is always definable by reference to three planes, each at right angles to the others.
41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in the other and parallel layer; then, if planes of intersection between the several spheres in both layers be formed, there will result a double layer of hexagonal prisms united together by pyramidal bases formed of three rhombs; and the rhombs and the sides of the hexagonal prisms will have every angle identically the same with the best measurements which have been made of the cells of the hive-bee.
Grandmother began to make the icing for a chocolate cake, and Otto again filled the house with the exciting, expectant song of the plane.
You observe that in the ordinary swimming position of the Sperm Whale, the front of his head presents an almost wholly vertical plane to the water; you observe that the lower part of that front slopes considerably backwards, so as to furnish more of a retreat for the long socket which receives the boom-like lower jaw; you observe that the mouth is entirely under the head, much in the same way, indeed, as though your own mouth were entirely under your chin.
It was described, in graphic language, how all irregularities and depressions were obliterated, and a smooth surface of several miles' area laid bare, and that this area had the appearance of having been PLANED BY A PLANE.
Suppose a person of the Fourth Dimension, condescending to visit you, were to say, 'Whenever you open your eyes, you see a Plane (which is of Two Dimensions) and you INFER a Solid (which is of Three); but in reality you also see
Making his fast behind mine I started my engine, and skimming over the edge of the roof I dove down into the streets of the city far below the plane usually occupied by the air patrol.
In the case of the line, this common boundary is the point; in the case of the plane, it is the line: for the parts of the plane have also a common boundary.
It was to this workman that the strong barytone belonged which was heard above the sound of plane and hammer singing--
Freighters have other landing-stages at various lower levels, to within a couple of hundred feet of the ground; nor dare any flier rise or drop from one plane to another except in certain restricted districts where horizontal traffic is forbidden.
I have always had a great love for the absolutely unreal, the purely fanciful in all the arts, as well as of the absolutely real; I like the one on a far lower plane than the other, but it delights me, as a pantomime at a theatre does, or a comic opera, which has its being wholly outside the realm of the probabilities.
We rolled the plane down to the water's edge, and Billings mounted the pilot's seat.