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Updated: May 13, 2025
Two examples are given in Figs. 326 and 327. I shall expect, however, when the art of these peoples is better known, to learn to what particular mythic concept these mixed or impure geometric devices refer. Coiled tray with geometric devices probably modified by ideographic association.
The Pueblo tribes at their best have barely reached the stage at which esthetic ideas are associated with building; yet classic art has not produced a set of geometric motives more chaste or varied. These examples of the development of high forms of decoration during the very early stages of the arts are not isolated.
The surface is almost completely covered by a system of ornament in which zigzags, meanders, and groups of concentric circles play an important part. In this system of Geometric patterns zones or friezes are reserved for designs into which human and animal figures enter. The center of interest is in the middle of the upper frieze, between the handles.
And when we see him spread his beautiful geometric snare, held by lines fixed to widely separated points, while he sits concealed in his web-lined retreat amongst the leaves where every touch on the far-reaching structure is telegraphed to him by the communicating line faithfully as if a nerve had been touched, we must admire the wonderful perfection to which he has attained in the use of his cord.
Military science, seeing in history innumerable instances of the fact that the size of any army does not coincide with its strength and that small detachments defeat larger ones, obscurely admits the existence of this unknown factor and tries to discover it now in a geometric formation, now in the equipment employed, now, and most usually, in the genius of the commanders.
Perry overheard the "wonder" and replied: "I am confident that we will solve the whole problem very shortly." "With mathematics?" asked Hal. "You see we are moving in a geometric circle, do you not?" Mr. Perry returned with a smile. "Oh, look there!" suddenly exclaimed Max. "A motor boat." But there was no need of calling attention to so conspicuous an appearance. All saw it at the same time.
I could prove what I state with the certainty of a geometric truth, but I have no time now. Enough if I give you an illustration. Hear it, then: Many years ago a law was passed in the British Parliament for the taxation of ships, for they, like everything else, must pay for their existence. There was a difficulty how to proportion this tax.
The columns are massive, the ceiling groined; the style is the decorated or geometric architecture, that prevailed in Europe in the thirteenth century. The cardinal's gothic throne is on the right. The four altars are of carved French walnut, Tennessee marble and bronze. Half of the seventy windows are memorials, given by parishes and individuals in various parts of America.
Even when they stand about gossiping they fall naturally into geometric figures: if two disconnected men are smoking silently in the roadway, they trisect it; and if another man arrives he converts the company into an equilateral triangle.
At last even these dim sensations spent themselves in the thickening obscurity which enveloped her; a dusk now filled with pale geometric roses, circling softly, interminably before her, now darkened to a uniform blue-blackness, the hue of a summer night without stars. And into this darkness she felt herself sinking, sinking, with the gentle sense of security of one upheld from beneath.
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