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Some stones, not of the oldest type, have the crossed sword, symbolical alike of the warrior character of the dead and the religion of peace in which he rests. There is one with a figure in full chain-armour; and others, again, of an older date, ornamented with the geometric reticulations already discussed.
It's twice as hard for two, and from there on it's a decreasing probability in a geometric ratio." The younger Haer's stick rapped the side of his leg, impatiently. "Suppose I inform you that this is a command, captain?
At the point where we were no longer confident of our way an opportune native appeared and Jed us over paths paved with fine pebbles, sometimes wrought into geometric patterns, and always through pleasing sun and shade, till we reached a pretty hotel set, with its gardens before it, on a shelf of level land and commanding a view of our steamer and the surrounding sea.
She cared too much for language to ride it. She cared too much for words to want to whip them into slavery. She was outside of them, looking on, as it might be, through crystal, at their freshness. She did not take them for granted. They were new to her and she wanted the proper familiarity. She worked upon a spiritual geometric all her own.
Volleying is a science based on the old geometric axiom that a straight line is the shortest distance between two points. I mean that a volleyer must always cover the straight passing shot since it is the shortest shot with which to pass him, and he must volley straight to his opening and not waste time trying freakish curving volleys that give the base- liner time to recover.
After several brief demonstrations with different strips, as to how the geometric forms were designed, he allowed Cowperwood to take the matter in hand, watching over his shoulder.
To prove this we need only search back through our ancestors and see their accumulation, which time increases into a retrograde geometric progression, which multiplies of itself; reminding us of the calculation of the wise man who, being told to choose a reward from the king of Persia for inventing chess, asked for one ear of wheat for the first move on the board, the reward to be doubled for each succeeding move; when it was found that the kingdom was not large enough to pay it.
Geometric art, according to this theory, would have originated with the tribes which now came to the fore. Besides the Geometric pottery and its offshoots, several other local varieties were produced in Greece in the eighth and seventh centuries.
Moreover, let me tell you, that, whereas at Pisa 'twas as if I were your harlot, seeing that the planets in conjunction according to lunar mansion and geometric square intervened between you and me, here with Paganino I deem myself a wife, for he holds me in his arms all night long and hugs and bites me, and how he serves me, God be my witness.
The latter includes the former; for not only must natural forms, in order to be available as material for ornament, be first conventionalized, or reduced to regular, symmetrical, geometric outlines, but any and all designs, whether the unit of repetition be geometric or conventional, must be founded upon geometric construction.
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