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Updated: May 12, 2025
It was encircled by huge old willows and tall firs, beneath which flourished flowers that loved the shade. Prim, right-angled paths neatly bordered with clamshells, intersected it like moist red ribbons and in the beds between old-fashioned flowers ran riot.
His quiet but resolute look was not willingly cast downwards, his grey hair, brushed up in front, was as abundant as if he were still young. The straight lines of his nose formed a geometrically-drawn right-angled triangle.
The current of the Black Bluffs Rapids whisked us from the bank with a giddy speed, spun us about a right-angled bend, and landed us in a long quiet lake. Contrary to the average opinion, the Upper Missouri is merely a succession of lakes and rapids. In the low-water season, this statement should be italicised.
Plutarch, in his Osiris and Isis, tells us in explanation of this, "The Egyptians imagined the nature of the Universe like this most beautiful triangle, as Plato also seems to have done in his work on the State, when he sketches the picture of Matrimony under the form of a Right-Angled Triangle.
The men caught his strain and none of them spoke again. Cottontails quivered out of sight as the automobile rushed on. An occasional coyote, silhouetted against the sky, disappeared as if by magic. Swooping buzzards hung motionless to see, then swept on into the heavens. Jim was taking right-angled curves at twenty-five miles an hour. The hoboes clung to the machine wild-eyed and speechless.
When we demonstrate the forty-seventh proposition of Euclid, it is not necessary that the words should raise in us an image of all right-angled triangles, but only of some one right-angled triangle: so in algebra we need not, under the symbol a, picture to ourselves all things whatever, but only some one thing; why not, then, the letter itself?
Beyond this space stood the big brown hospital on the north; the back-yards of the surgeon's and sutler's quarters on the east; while the hypothenuse of the right-angled triangle thus limited was the unsightly fence that bounded the back-yards of officers' row. Mr. Dick Swiveller's delightful view "of over the way" was a gem of landscape in comparison.
Can God make a round circle, a right-angled square? Certainly. Would God be guilty if, after having created the world according to the laws of geometry, he had put it into our minds, or even allowed us to believe without fault of our own, that a circle may be square or a square circular, though, in consequence of this false opinion, we should have to suffer an incalculable series of evils?
At length a right-angled turn brought the road continually and rapidly nearer to the gates of the grounds, which had purposely been thrown open.
Anaximander invented the sphere, the gnomon, and geographical charts, which required considerable geometrical knowledge. Anaxagoras employed himself in prison in attempting to square the circle. Pythagoras discovered the important theorem that in a right-angled triangle the squares on the sides containing the right angle are together equal to the square on the opposite side of it.
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