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Updated: May 19, 2025
Eudoxus apparently approached the figure to be measured from below only, i. e. by means of figures successively inscribed to it. Archimedes approaches it from both sides by successively inscribing figures and circumscribing others also, thereby compressing them, as it were, until they coincide as nearly as we please with the figure to be measured.
A heavy unbroken crust of cloud stretched across the sky, shutting out every speck of heaven; and a distant halo which hung over the town of Casterbridge was visible against the black concave, the luminosity appearing the brighter by its great contrast with the circumscribing darkness. Towards this weak, soft glow the woman turned her eyes. "If I could only get there!" she said.
It seemed to have been constructed for no especial use within itself, but formed merely the interval between two of the colossal supports of the roof of the catacombs, and was backed by one of their circumscribing walls of solid granite. It was in vain that Fortunato, uplifting his dull torch, endeavoured to pry into the depth of the recess.
And the characteristic aspect of westerly weather, the thick, gray, smoky and sinister tone sets in, circumscribing the view of the men, drenching their bodies, oppressing their souls, taking their breath away with booming gusts, deafening, blinding, driving, rushing them onwards in a swaying ship towards our coasts lost in mists and rain.
Hist. vol. viii. p. 201. v* Rushworth, vol. i. p. 613. It may be affirmed, without any exaggeration, that the king's assent to the petition of right produced such a change in the government, as was almost equivalent to a revolution; and by circumscribing, in so many articles, the royal prerogative gave additional security to the liberties of the subject.
Shakespeare's influence on the thought of any individual has only two circumscribing factors, the extent of Shakespearean study and the capacity of interpreting the facts of life. No intelligent person can study Shakespeare without becoming a deeper and more varied thinker, without securing a broader comprehension of human existence, its struggles, failures, and successes.
"The policy was then changed to circumscribing the disease, by isolating the herds just as fast as possible and as surely as possible. A man's herd has been exposed. There is no other way than to go and examine it, and take the diseased animals away. Then he knows the animals are diseased, and his neighbors know it.
Not that the occult triad, Chance, Fate, and Destiny ruled; they only modified his orbit. But from the centre of things Something that ruled them was pulling him toward it, slowly, steadily, inexorably drawing him nearer, lessening the circumference of his path, attenuating it, circumscribing, limiting, controlling.
"So you do not think it rather fantastic?" remarked Ernest, circumscribing his true meaning. "No, it is quite possible. Perhaps his Narcissus was engaging the sub-conscious strata of my mind while I was writing this passage. And surely it would be strange if the undercurrents of our mind were not reflected in our style."
The era was one in which the West guided public policy; and it was the West that was chiefly interested in further circumscribing Indian lands, trade, and influence. In Jackson's day, too, the people ruled; and it was the adventurous, pushing, land-hungry common folk who decreed that the red man had lingered long enough in the Middle West and must now move on.
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