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When he had heard that the great astronomer Zollner had written a book to explain the performances of Slade, the medium, by means of a mathematical theory of a fourth dimension in space, Greif had believed that the scientist was raving mad.
He will have been the first to study the relation between the moving lines of a living being and the immovable lines of the scene which serves as its setting; the first, also, to define drawing, not as a graphic science, but as the valuation of the third dimension, and thus to apply to painting the principles hitherto reserved for sculpture. Finally, he will be counted among the great analysts.
If pass pantry is in house, only its narrowest dimension should divide kitchen from dining room. Partitions under sink for trays to stand; a narrow space for table leaves; a china cupboard with reachable shelves, and a sink and drainboards like those described for kitchen are desirable. Drawer on small shelf for cleaning compounds and brushes for cleaning silver, steel, brass and copper.
The cathedral interested me much less than Our Lady the Great, and I have not the spirit to go into statistics about it. It is not statistical to say that the cathedral stands half-way down the hill of Poitiers, in a quiet and grass-grown place, with an approach of crooked lanes and blank garden-walls, and that its most striking dimension is the width of its façade.
The heart of a German beats as he gazes on the forms and scenes of the Teutonic Iliad; as he beholds Haghen the fierce, and Dankwart the swift; Volker, the minstrel knight, and the beautiful and haughty Brunhilda. But in point of harmonious dimension and august beauty, no chamber is perhaps more imposing than the Kaiser Saal, or Hall of the Sovereigns.
Hard by it stood another of like type but of lesser dimension. Two or three mere shanties lifted level with great stumps, crude, unpainted buildings. Smoke issued from the pipe of the larger, and a white-aproned man stood in the doorway. Somewhere in the screen of woods a whistle shrilled. Benton looked at his watch. "We made good time, in spite of the little roll," said he.
To the flat-man, clairvoyance in space would consist in that power of perception which we exercise in reference to his plane. From the third dimension the boundaries of plane figures offer no impediment to the view of their interiors, and they themselves in no way impede our vision of surrounding objects.
The system therefore accompanies the student but part way and leaves him still knocking at the door of the complete naturalistic presentation of pictorial art, a development which stretches into limitless possibilities by the use of the third dimension.
Each is peering into a purse that appears to be empty; each is crying for the gold that seems to have gone; and each is ignorant of the fact that their wealth is still with them, but is for a moment eluding their agitated scrutiny. The philosophy that the new purse revealed to me is capable of an infinity of applications. The fact is that faith is always the unknown dimension.
"W'at's he up to?" was the burden of his thoughts; "w'at kind of a gold brick has the big guy got to sell?" McGuire was only applying the measure of the streets he had walked to a range bounded by the horizon and the fourth dimension. A week before, while riding the prairies, Raidler had come upon a sick and weakling calf deserted and bawling.
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