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Updated: May 16, 2025


She found herself in a little city of rough plank barracks, arranged in geometrically correct streets and angles about a great plain of a parade ground, from which the heat radiated as from a glowing stove. A flag drooped as if wilted from the top of a tall pole standing on the side of the parade-ground opposite her.

All descriptions of optical processes are based upon this conception. Obviously, we cannot be satisfied with such a reduction of wholes into single geometrically describable parts, followed by a reassembling of these parts into a whole.

From the point of view of the art critic of the Daily Telegraph nothing could be better; the various sites and prospects are explained and commented upon, and the heart of middle-class England beats in sympathetic response. But the real picture-lover sees nothing save two geometrically drawn figures placed in the canvas like diagrams in a book of Euclid.

Leibnitz, reflecting upon these statements on the part of Newton, arrived by a somewhat different path at the Differential and Integral Calculus, reasoning, however, concerning infinitely great and infinitely small quantities in general, viewing the problem algebraically instead of geometrically, and immediately imparted the result of his studies to the English mathematician.

Having measured this rock geometrically, the result is as follows: «Le plus grand des arcs de cercle que forment ces couches extérieures de ce rocher, a donc pour corde une ligne d'environ 800 pieds: dans toute cette étendue, ces couches de même que les intérieures sont suivies sans interruption.

Many of the intricate Moorish frets and Indian carvings are literal translations of flower-forms geometrically repeated, and here they lend themselves so perfectly to the decoration of even exterior walls that the fretted arches of some Eastern buildings seem almost to have grown of themselves, with all their elaboration, into the world of nature and art.

Because the development of slavery and parasitism in human society, the subjection of the weak to the strong, the dull and base to the clever and headstrong, set up a vicious cycle: the liberation of more energy for the making of more and more slaves and the propagation of slaves and slave qualities in a geometrically increasing proportion. This might be called the Malthusian law of slavery.

It was here that Hahn and Wallie found Mizzi Markis. Mizzi Markis, then a girl of nineteen, was a hod carrier. Wallie had three days in Budapest before Hahn met him there. As the manager stepped from the train, looking geometrically square in a long ulster that touched his ears and his heels, Wallie met him with a bound. "Hello, S.H.! Great to see you! Say, listen, I've found something.

In England the haystacks had been geometrically correct in their dimensions so square and firm and exact that sections might be sliced off them like cheese, and doors and windows might be carved in them; but these French haystacks were devil-may-care haystacks wearing tufts on their polls like headdresses.

And it should be known that it is none other than that curve which is described by the point E on the circumference of the circle EB, when that circle is made to roll within another whose semi-diameter is ED and whose centre is D. So that it is a kind of Cycloid, of which, however, the points can be found geometrically.

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