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Updated: May 16, 2025
The great mass of sheep in the fair consisted of South Downs and the old Wessex horned breeds; to the latter class Bathsheba's and Farmer Boldwood's mainly belonged. These filed in about nine o'clock, their vermiculated horns lopping gracefully on each side of their cheeks in geometrically perfect spirals, a small pink and white ear nestling under each horn.
He remembered the first day when it had suddenly struck him that the geometrically shaped flower-beds were designed after a pattern, and he had counted, with his nurse, the loops and circles in the design. There, again, were the fountains with their silver spray, in whose basins, by the inexorable but utterly unintelligible law of the nursery, he had never been allowed to play.
A large bare window, of the variety of that at Angers, stands above the doorway, which, itself, lacks all attempt at embellishment. What decoration the façade bears is after the true Byzantine manner, of the nature of brickwork displayed and set into the wall in geometrically angular fashion.
"Just look at those great things," he said, "built up as geometrically as a cathedral, tier above tier, and yet not quite regular. There must be something very hard at work inside that, piling it all up, adding cell to cell, carrying out a plan, and enjoying it all. Yet the beauty of it is that it isn't perfectly regular.
So long as those ideas are vague and indistinct, the contrary of an axiom may be assented to, though it can not be distinctly conceived. It may be assented to, not because it is possible, but because we do not see clearly what is possible. To a person who is only beginning to think geometrically, there may appear nothing absurd in the assertion that two straight lines may inclose a space.
Langan may be defined geometrically as length without breadth; altitude without position; a line on the landscape, not a point in it." "How very clever you are!" "You don't understand me, I see. Here comes your lover, stepping over the wall like a camel. And here go I out through the gate like a Christian. Good afternoon, Mr. Langan.
There is not a blemish on its folds, there is not an imperfection in its web; every thread in warp and woof is flawless; every seam is absolutely straight; every star is geometrically accurate; every proportion is exact; the man who denies it is a traitor!" "Absurd!" replies the iconoclast.
An unpainted barn, a long and low, rather ramshackle structure with sagging slidedoors that could no longer be closed, stood in the rear of the farm yard. The dwelling in front of it was a tall, boxlike two-story house, well painted in a rather loud green with white door and window frames. The door in front, one window beside it, two windows above, geometrically correct, and stiff and cold.
Anyhow, their angles are geometrically all wrong. Peter, look out." Some green stuff was flung across the room. The professor laughed; Coleman laughed.
In fact, it is contained in the existing expressions; but the decimal relation does not appear unless we state the unit of linear measure as a decimal of the earth's semi-polar axis, and, at the same time, divide the circle, both for time and for general purposes, geometrically, i.e., by strict decimalization upon the hour-angle. A mathematical reason underlies the proposition.
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