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Updated: May 16, 2025
Waterhouse's picture of "Circe Poisoning the Sea" is an excellent example of professional French painting. The drawing is planned out geometrically, the modelling is built up mechanically. The brush, filled with thick paint, works like a trowel.
In four-dimensional space, however, the ten equal distances between any two of five points are geometrically independent, thus greatly augmenting the number and variety of possible arrangements of atoms. This just escapes being the kind of proof demanded by science.
The Cripps gardens and grounds were not extensive, but they were well kept even if the beds were geometrically ugly and the color masses jarring and in bad taste. The birds sang, the breeze stirred the leaves and petals, and there was a Sunday quiet, the restful hush of an English Sunday, everywhere.
It was early found out that mathematical exactness and beauty were not the same. By making its two sides geometrically equal, the living expression of the most beautiful marble statue is destroyed, and it becomes simply a piece of architecture.
They knew when they were loaded, and in straight lines as geometrically true as the hexagon cells in which the honey would be stored they darted to their hives. When the day grew warm she returned to the house and read, with a wonder and delight which no fairy tale had ever produced, John Burroughs's paper, "The Pastoral Bees," which Webb had found for her before going to his work.
But, if this sounds in the ear of some a doubtful refinement, the doubt applies only to the lowest degrees of space. For the highest, it is certain that brutes have no perception. To man is as much reserved the prerogative of perceiving space in its higher extensions, as of geometrically constructing the relations of space.
His father was pleased to allow him to do this, being glad of anything that would occupy the restless lad while at home for his holidays. "I will draw all the beds geometrically myself," said Mark, "and make it quite different from anything you have ever seen. And then I will build a tea-house all of fir, and line it with cones, and it will have a delightful perfume."
Reid, "makes its combs so geometrically, the geometry is not in the bee, but in that great Geometrician who made the bee, and made all things in number, weight, and measure." Since the animal is not conscious of the intelligence and design which are manifested in its instincts, which it obeys and works out, the conscious life of the individual must be wholly a life within the senses.
They are so delicate and multitudinous that it requires a very delicate and neat sense to appreciate them. . . . So it is as rare for geometers to be men of subtle wit as it is for the latter to be geometers, because geometers like to treat these nicer matters geometrically, and so make themselves ridiculous; they like to commence with definition, and then go on to principles—a mode which does not at all suit this sort of reasoning.
The rooms were bare and geometrically cat-a-cornered and extraordinarily chilly, like vaults; but they gave out on a charmingly unkempt walled garden with a stone fountain in the middle whose features were all rounded by time and blurred with moss, with tall ragged bananas and taller wind-swept palms, and a creeping lush tangle of old plants, and the damp soft greenness of moss and the elfin tinkling of little waters.
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