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To Boldwood women had been remote phenomena rather than necessary complements comets of such uncertain aspect, movement, and permanence, that whether their orbits were as geometrical, unchangeable, and as subject to laws as his own, or as absolutely erratic as they superficially appeared, he had not deemed it his duty to consider.
For, in considering them separately, many lose of themselves their borrowed importance; one feels, for instance, quite plainly that the value of a base of operations, even if we look at nothing in it but its relative position to the line of operations, depends much less in that simple form on the geometrical element of the angle which they form with one another, than on the nature of the roads and the country through which they pass.
The propositions of Euclid proved so engrossing to Galileo that it was thought wise to avoid further distraction by terminating the mathematical tutor's engagement. But it was too late for the desired end to be attained. Galileo had now made such progress that he was able to continue his geometrical studies by himself.
It should not be forgotten that the form of the city was almost that of a circle; the geometrical figure which is known to contain the largest space within any given circumference.
So orderly was their arrangement, so much like a geometrical design nicely done by some clever child that I hesitated to disturb it. I bent, and stiffened, the first touch of dread upon me. For within the ring, close to the clustering globes, was a miniature replica of the giant track in the poppied valley!
Boethus began, and said: When I was a novice in letters, I then made use of geometrical postulates, and assumed as undoubted truths some undemonstrated suppositions; and now I shall make use of some propositions which Epicurus hath demonstrated already. Bodies move in a vacuum, and there are a great many spaces interspersed among the atoms of the air.
Berzelius proposed to improve upon this method by substituting for the geometrical symbol the initial of the Latin name of the element represented O for oxygen, H for hydrogen, and so on a numerical coefficient to follow the letter as an indication of the number of atoms present in any given compound.
With a shiver of apprehension Alice turned away from the whispering shadows and went to the Virgin's shrine, where she knelt and tried to pray. The candles sputtered before her, and she shut her eyes tight, which made colored patterns come and go behind the lids, fascinating geometrical figures that changed and faded and grew stronger.
A young person, especially after a little geometrical training, may soon be taught to perceive where a fallacy exists, and whether an argument is well sustained. It is not, however, sufficient for him to be able to examine sharply and to pull to pieces. He must learn how to build. This is done by method. The higher branches of method cannot be taught at first.
If I could be the happy bearer of any communications, command me as your obedient servant." Julia did not know what to say. To get a word to August was what she most desired. But the thought of using Humphreys was repulsive to her. She could not see his face in the gathering darkness, but she could feel him smile that same soulless, geometrical smile. She could not do it.
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