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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?
After having worked some fifty problems out of Hamilton Moore, of blessed memory, and having drawn an infinity of triangles with all possible degrees of incidence, with very neat little ships, now upon the base, now upon the hypothenuse, and now upon the perpendicular, my erudite usher pronounced me to be a perfect master of the noble science of navigation in all its branches, for the which he glorified himself exceedingly.
"All right, then, but I'd like it if you could be here." "I'll put twelve plates on the table." "What I don't know about is the napkins, Amanda. We used to roll them up and put them in the tumblers and then some people folded them in triangles and laid them on the plates, but I don't know if that's right now. Mine are just folded square." "That's right. I'll place them to the side, so.
The lower sloping part of the ceiling all round is divided into square panels with three-sided panels next the squares on the short canted sides; the upper slope is divided in exactly the same way so that the flat centre-piece consists of three squares set diagonally and of four triangles.
He did not like it, but it was better for him than if he had been kept at home. Mathematics were well taught at the Academy, and in this branch he soon outstripped all his schoolfellows. He himself always spoke of his mathematical studies as having been of great service in forming the habit of precise thought; from the study of triangles, he said, he went on to the study of men and things.
The motive in figure 339 is reducible to triangular and rectangular forms, and while exceptional as to their arrangement, no new decorative feature is introduced. The specimen represented in figure 340 has as its decorative elements, rectangles, triangles, parallel lines, and birds' tails, to which may be added star and crosshatch motives.
After having established at each extremity of this line a base, measured with the greatest exactness, they were afterwards to advance their triangles, in order to ascend to the middle point of the line.
Serve cheese straws with salads. Make a mince-meat by chopping finely eight medium-sized apples, one-half pound each of raisins, currants and sugar, a little citron peel, two or three cloves and one teaspoon of powdered cinnamon. Cut some good puff paste into little triangles and fill with the mince, turning the corners of the paste over it so as to make little puffs.
In the Inns of Court and Chancery Lane professional etiquette forbids barristers and solicitors to play upon organs, harmoniums, pianos, violins, or other stringed instruments, drums, trumpets, cymbals, shawms, bassoons, triangles, castanets or any other bony devices for the production of noise, flageolets, hautboys, or any other sort of boys between the hours of 9 A.M. and 6 P.M. And this rule of etiquette is supported by various special conditions introduced into the leases by which the tenants hold much of the local house property.
Other cars, not like theirs, were approaching this center of brilliance; long triangles of light near the ground swept through the fine drizzle; small red tail-lights gleamed again from the moist pavement of the street; and, through the myriads of little glistening leaves along the curving driveway, glimpses were caught of lively colours moving in a white glare as the limousines released their occupants under the shelter of the porte-cochere.
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