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By day, at eighteen or twenty miles distance, I show, by four pointers, isosceles triangles, twenty feet high, on four imaginary circles, eight imaginary points, which correspond with the figures 0, 1, 2, 3, 4, 5, 6, 7, so that seven thousand different combinations are formed, of four figures each, which refer to a dictionary of words. By night, white lights are used. Dr.
Within the circumference, and immediately round the woodpile, Margrave traced certain geometrical figures, in which not without a shudder, that I overcame at once by a strong effort of will in murmuring to myself the name of "Lilian" I recognized the interlaced triangles which my own hand, in the spell enforced on a sleep-walker, had described on the floor of the wizard's pavilion.
But what troubled me as much as anything was the behaviour of the four Indians we had shut up with us Chunder Chow, the old black nurse, and two more for they grew more uppish and bounceable every day, refusing to work, until Captain Dyer had one of the men tied up to the triangles and flogged down in a great cellar or vault-place that there was under the north end of the palace, so that the ladies and women shouldn't hear his cries.
The walkway above mentioned was of ornate stone with an intricate design of circles, squares, and triangles carved into it, and on each corner of the center stage was a long pillar that reached from floor to ceiling, each carved like a totem pole, with a variety of animals and shapes stacked upon one another.
Besides, no element is divided into things compounded of itself; indeed there is a dissolution of all other things into the elements. Now a triangle is divided into no circumference, but two diameters cut a circle into four triangles; therefore a rectilinear figure is before a circular, and has more of the nature of an element.
These lines are simply highly modified breaks in bands which join in other designs, and lead by comparison to the so-called "line of life" which many of these figures illustrate. The distinctive feature of figure 306 is the square, with rectangular designs appended to diagonally opposite angles and small triangles at intermediate corners.
In 1787 it was determined by the British and French governments to connect the observatories of Greenwich and Paris by a series of triangles, and to compare the differences of latitudes and longitudes, ascertained by astronomical observations, with those ascertained by actual measurement.
For goodness' sake, child, what an odd question for a seaman's daughter to ask!" "But I surely don't know. I never heard anything but P. & O. and I never even thought to ask before." "Well, it's Peninsular and Oriental, of course there, see her colors? Those four triangles in blue, white, yellow, and red, at her masthead. Watch while we salute her!"
Thales also solved two problems of a practical kind: he showed how to measure the distance of a ship at sea, and he found the heights of pyramids by means of the shadows thrown on the ground by the pyramid and by a stick of known length at the same moment; one account says that he chose the time when the lengths of the stick and of its shadow were equal, but in either case he argued by similarity of triangles.
"It must also be evident, that in the two triangles A G B and D G E, that E D, the length of the image, must be to A B, the length of the object, as G D, the distance of the image, is to G B, the distance of the object from the lens. It will be observed that in the last cut the image produced by the lens is curved.
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