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After that, when I want to compare the radii one with another, Emile will laugh at me and show me that the same thread at full stretch cannot have given distances of unequal length. If I wish to measure an angle of 60 degrees I describe from the apex of the angle, not an arc, but a complete circle, for with children nothing must be taken for granted.
He is the central figure; all others are but radii emanating from him. To Beethoven was it given to express clearly what the others could but dimly perceive. The relation of men like Bach or Händel toward Beethoven, Wagner held to be analogous to that of the prophets toward Jesus, namely, one of expectancy. The art reached its culmination in Beethoven.
Not that in all circles the radii are equal, but only that they are so in the circle ABC. As our warrant for assuming this, we appeal, it is true, to the definition of a circle in general; but it is only necessary that the assumption be granted in the case of the particular circle supposed.
In the first place, I ascertained by the barycrite and the discometer my distance from the Earth, which appeared to be about 120 terrestrial radii. The light of the halo was of course very much narrower than when I first observed it, and its scintillations or coruscations no longer distinctly visible.
And he believed the feeling on this occasion was keener than ever before, for she was prettier than he had ever seen her. "No wonder!" he cried; but Harkless did not understand. As they pressed forward, Meredith perceived that they were only two more radii of a circle of youths, sprung from every direction as the waltz ended, bearing down upon the common focus to secure the next dance.
Such is the happy combination by the aid of which Laplace has solved the great, the celebrated problem of parallax. It is thus that the illustrious geometer found for the mean distance of the sun from the earth, expressed in radii of the terrestrial orbit, a value differing only in a slight degree from that which was the fruit of so many troublesome and expensive voyages.
They were both of a circular figure, something larger than a crown piece; and he observed that the small feathers were placed in a nice and curious order, at equal distances from each other, making so many radii of the circle, in the centre of which the quill ends of the feathers met. He counted the number of these feathers, and found them to be exactly thirty-two in each cake.
But how great is this itself! how many radii thus go out from the central point God! So far does thine eye reach, so clear is thine age's horizon! Son of time, choose, who shall be thy companion? Here is thy new career! with the greatest of thy time, fly thou before thy time's generation! Like twinkling Lucifer, shine thou in time's roseate morn. Yes, in knowledge lies Poetry's California!
A very strange-looking mark indeed, quite as large as a pigeon's egg, with what looked like radii shooting from it on all sides. Some of the villagers, talking familiarly among themselves, would call it a hedgehog, some would call it a "porkypine"; but it resembled a star as much as anything. That is, if you can imagine a black star.
The four angles being thus ascertained, and two sides of the quadrilateral being radii of the earth; the two remaining sides and the diagonal, or, in other words, the moon’s distance from the two places of observation and from the centre of the earth, could be ascertained, at least in terms of the earth’s radius, from elementary theorems of geometry.
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