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It may be difficult to say with reference to any particular example of design that it had a textile origin, for there may be multiple origins to the same or to closely corresponding forms; but we may assert in a general way of the great body of geometric ornament that it owes something if not its inspiration, its modes of expression to the teachings of the textile system.
The gallery is wainscoted in oak in semicircular arched panels, alternately large and small, surmounted by a frieze and a turreted and battlemented cornice. The ceiling is elaborately carved in geometric patterns, and the tracery contains the alternating arms and crests of Vernon and Manners: the remains are still visible of the rich gilding and painting of this ceiling.
True, many examples occur in which the ancient or indigenous geometric style is preserved, but the majority appear to be more or less modified. In many cases nothing can be learned from a study of the designs themselves, as the particular style of construction is not adapted to realistic expression, and, at best, resemblances to natural forms are very remote.
He finds a foolish contradiction in some so-called sacred book and imagines that he has proven either that man's a fool or God's a fraud. "By geometric scale he takes the measure of pots of ale." He calls himself a "liberal," while fanatically intolerant of the honest opinions of others. He is forever mistaking shadow for substance, the accidental for the essential.
Just incidentally noticing the circumstance that the epoch we are describing witnessed the evolution of algebra, a comparatively abstract division of mathematics, by the union of its less abstract divisions, geometry and arithmetic a fact proved by the earliest extant samples of algebra, which are half algebraic, half geometric we go on to observe that during the era in which mathematics and astronomy were thus advancing, rational mechanics made its second step; and something was done towards giving a quantitative form to hydrostatics, optics, and harmonics.
As the aerial travellers winged their way, the seat of war lay spread beneath them like a map. First the blue Hudson, slumbering among its forests, with the forts along its banks, Half-Moon, Stillwater, Saratoga, and the geometric lines and earthen mounds of Fort Edward.
In that general territory itself, as in the old name of Provinces, the citizens are interested from old prejudices and unreasoned habits, and not on account of the geometric properties of its figure. The power and preëminence of Paris does certainly press down and hold these republics together as long as it lasts: but, for the reasons I have already given you, I think it can not last very long.
Peter's at Rome waxen walls descend to the ground, balanced in the void and the darkness; gigantic and manifold, vertical and parallel geometric constructions, to which, for relative precision, audacity, and vastness, no human structure is comparable.
At first each different piece or colour in a geometric pattern was cut before firing to the shape required, and the many different pieces when coloured and fired were put together so as to form a regular mosaic.
Discourse on the Theater, 1784. Mannheim, famed for the geometric regularity of its streets, was in Schiller's day a city of about twenty thousand inhabitants. Since 1720 it had been the capital of the Bavarian Palatinate, and under the Elector Karl Theodor it had acquired some distinction as a nursery of the arts.
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