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Updated: May 16, 2025
The peninsula of Portland, looked at geometrically, presents the appearance of a bird's head, of which the bill is turned towards the ocean, the back of the head towards Weymouth; the isthmus is its neck. Portland, greatly to the sacrifice of its wildness, exists now but for trade. The coasts of Portland were discovered by quarrymen and plasterers towards the middle of the seventeenth century.
You ask for freedom of thought; but if you have not sufficient grounds for thought, you have no business to think; and if you have sufficient grounds, you have no business to think wrong. Only one thought is possible to you if you are wise your liberty is geometrically proportionate to your folly. "But all this glory and activity of our age; what are they owing to, but to freedom of thought?"
On another table there were little piles of material for plain work; so prim, so square, so geometrically precise, that Clarissa thought the flannel itself looked cold a hard, fibrous, cruel fabric, that could never be of use to mortal flesh except as an irritant. Miss Granger's bedroom and dressing-room were like Miss Granger's morning-room.
The Republic by the way, small enough in the ring of empires and monarchies, if you measure it geometrically! You remember the laugh at the exact elevation of Mount Olympus? But Zeus's eagle sat on it, and top me Olympus, after you have imagined the eagle aloft there! after Homer, is the meaning.
"It may at once be denied," says he, "that human increase proceeds geometrically; and for this simple but decisive reason, that the existence of a geometrical ratio of increase in the works of nature is neither true nor possible. It would fling into utter confusion all order, time, magnitude, and space."
The station was connected with the town by the extension of B Street, which struck across the flats geometrically straight, a file of tall poles with intervening wires marching along with it. At the station these were headed by an iron electric-light pole that, with its supports and outriggers, looked for all the world like an immense grasshopper on its hind legs.
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.
It is at first almost exactly cylindrical; but, in the course of the victualling, changes occur which modify it slightly at geometrically determined distances. The work of boring possesses no great interest. In the month of July, we see the insect, perched on a bramble-stump, attack the pith and dig itself a well.
Basalt is a brown rock of igneous origin. It assumes regular forms, which astonish by their singular appearance. Here we found Nature proceeding geometrically, and working quite after a human fashion, as if she had employed the plummet line, the compass and the rule.
The absence of stellar parallax was the great objection to any theory of the earth's motion prior to Kepler's time. It is true that Kepler's theory itself could have been geometrically expressed equally well with the earth or any other point fixed.
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