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Updated: June 11, 2025
He motioned with the cigarette toward a tent pitched quite a hundred yards away from the others and from the Rangar's own; with the Rangar's and the cluster of tents for the men it made an equilateral triangle, so that both he and the Rangar had privacy.
Let me make this clearer. The more one examines the typical points in the Saxon, Norman, and Gothic styles of Architecture, the more clearly one sees that the Architects of the two former used circles and squares on their tracing-boards, as units for their proportions, in drawing up both ground plans and elevations, with here and there suggestions only of the Equilateral Triangle having been made use of in some of the smaller details; whereas the Gothic Architects seem to have used the Vesica Piscis almost entirely.
They did not dare to kill Roger Hunter's sons, because Roger Hunter might have told them where the bonanza was. And Jupiter Equilateral would not dare let anyone of them break away. If one of them got back to Mars, the whole U.N. Patrol would be out in the Belt.... The plan became clear in his mind, but he had to let Greg know. He fingered the control of his helmet radio.
"I calculate they'd assay about nine cents to the thousand tons, but I promised him to bring them along." It is a common custom to refer to the usual complication between one man and two ladies, or one lady and two men, or a lady and a man and a nobleman, or well, any of those problems as the triangle. But they are never unqualified triangles. They are always isosceles never equilateral.
This cottage was as remote from Dymock's Tower in one way, as Shanty's shed was in another; although the three dwellings formed together a sort of equilateral triangle. Mr. Dymock long suspected that this labourer had done his share to waste his substance; and once or twice it had occurred to him, that if he left the Castle he might retire to the cottage.
The Egyptians considered the equilateral triangle as the most perfect of figures, and a representative of the great principle of animated existence, each of its sides referring to one of the three departments of creation the animal, the vegetable, and the mineral.
"If I were you," he said, "I'd stop complaining and start worrying. If I had Jupiter Equilateral at my throat, I'd worry plenty, because once they start they don't stop." A signal light blinked, and he took them downstairs. Major Briarton was behind his desk; his eyes tired, his face grim. He dismissed the Captain, and motioned them to seats.
The birth of a True Equilateral Triangle from Isosceles parents is the subject of rejoicing in our country for many furlongs round. After a strict examination conducted by the Sanitary and Social Board, the infant, if certified as Regular, is with solemn ceremonial admitted into the class of Equilaterals.
Above the tail of the Lesser Bear are the feet of Cepheus, and at this point, at the very top, are stars forming an equilateral triangle. There are a good many stars common to the Lesser Bear and to Cepheus. I have now mentioned the constellations which are arranged in the heaven to the right of the east, between the belt of the signs and the north.
How Plato who was not aware of one of these laws, eloquent but visionary Plato, who said that the earth was erected on an equilateral triangle, and the water on a right-angled triangle; strange Plato, who says there can be only five worlds, because there are only five regular bodies: how, I say, did Plato, who did not know even spherical trigonometry, have nevertheless a genius sufficiently fine, an instinct sufficiently happy, to call God the "Eternal Geometer," to feel the existence of a creative intelligence?
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