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Updated: May 13, 2025
In a veritable fairyland of avenues, of yoke-elms and flower-beds in geometric designs, of enormous baskets filled with the choicest flowers, of straight canals, of ponds, of islets, of magnificent fountains, such a fairyland as Watteau would have dreamed of, there is a Venetian fête with all sorts of fire-works and illuminations; small crafts, adorned with flags, are filled with men in golden garments, girded with swords, and wearing three-cornered hats and buckled shoes; and the women are dressed in velvet and covered with jewels.
In some vessels of the period there is a combination of conventionalized naturalistic ornament and geometric design.
The trees were now large, and stood in regular, almost geometric, fashion, with roomy spaces between. There was little undergrowth, and I could see a long way in every direction. The forest was like a great church, solemn and silent and empty, for I met nothing on two feet or four that day.
This occurs when ideas, symbolic or otherwise, come to be associated with the purely geometric figures, tending to arrest or modify their development, or, again, it occurs when the artist seeks to substitute mythologic subjects for the geometric units. This period cannot be always well defined, as the first steps in this direction are so thoroughly subordinated to the textile forces.
Newton's PRINCIPIA is, by that time, drawing diligently to its close; complicated by such far abstruser Problems, not of the geometric sort! Poor little lean brown woman, what a Life, after all; what an End of a Life!" The War, since Friedrich got out of it, does not abate in animosity, nor want for bloodshed, battle and sieging; but offers little now memorable.
The influence of such arts inevitably gives rise to angular geometric figures. Taken as a whole, the remains of the mound-builders would seem to point to a hyperborean origin for both the people and their arts.
This eccentricity, coupled with the very unusual character of the details at the outer extremities of the figures, leads to the surmise that each part of the design is a conventional representation of some life form, a bird, an insect, or perhaps a man. By the free introduction of such elements textile ornament loses its pristine geometric purity and becomes in a measure degraded.
The vortex with a surface as its axis, therefore, affords a geometric image of a closed circuit. Hinton supposes a conductor to be a body which has the property of serving as a terminal abutment to such a hyper-vortex as has been described. The conception that he forms of a closed current, therefore, is of a vortex sheet having its edge along the circuit of the conducting wire.
In this way only can such a restricted form of artistic expression become in the least degree interesting. The designs usually associated with the "civilized" practise of this work are, generally speaking, of the kind known as "geometric," that is to say, composed of circles and straight lines intersecting each other in complicated pattern.
We proceed a few pages further, however; and we then find that geometric progression is unnatural only in those cases in which Mr Malthus conceives that it exists; and that, in all cases in which Mr Malthus denies the existence of a geometric ratio, nature changes sides, and adopts that ratio as the rule of increase. Mr Malthus holds that subsistence will increase only in an arithmetical ratio.
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