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Yet more remarkable, because of the greater difficulties involved, was Hipparchus's attempt to measure the actual distance of the moon. Aristarchus had made a similar attempt before him. Here, then, was the measure of the base-line of that famous triangle with which Aristarchus had measured the distance of the sun.
The apex of the irregular, inverted triangle of Illinois, thrust down to the 37th parallel of latitude, brought the first settlers well within the sphere of Southern influence. Two slave States flanked this southern end. Nearly one-half of Illinois lay south of a direct, westward extension of Mason and Dixon's line.
The three now took their respective stands behind three trees that formed a sort of triangle around the tapang; and the guide, who had no gun, placed himself apart holding his kris in readiness to finish off the bear, should the animal be only wounded. There was no danger to be dreaded from the encounter.
Sylvia and her lover stood at one of the corners where the wall curved in; the shadow reached out beyond their feet and lay upon the white road in a black triangle; they could hardly be seen from any window of the house, and certainly they could not be recognized. But on the other hand they could see. From behind Walter Hine the light streamed out clear.
Keith and Teacher were quite enthusiastic over the achievement, and I must confess, I felt somewhat elated myself. Now I feel as if I should succeed in doing something in mathematics, although I cannot see why it is so very important to know that the lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal!
With an accuracy unusual at this period, Butler estimated Breckinridge's entire force at 5,000 men and fourteen guns. On the 13th the defences were complete, the entrenchments forming two sides of a triangle of which the river was the base and the cemetery mound the apex.
Finck retreating northward to Schmorsdorf, towards the obtuse angle of his triangle, if haply there may be help in that quarter for him. Daun does not push him much; has Maxen safely burning in every part. From Schmorsdorf Finck pushes out a Cavalry charge on Brentano. "Could we but repulse Brentano yonder," thinks he, "I might have those Four Battalions to hand, and try again!"
The "Kasr" and "Amram" mounds are enclosed within two lines of rampart, lying at right angles to each other, and forming, with the river, a sort of triangle, within which all the principal ruins are comprised, except the mound called "Babil". Beyond the rampart, towards the north, south, and east, and also across the river to the west, are various smaller detached ruins, while the whole ground, in every direction, is covered with fragments of brick and with nitre, the sure marks of former habitations.
The new walls of Constantine stretched from the port to the Propontis across the enlarged breadth of the triangle, at a distance of fifteen stadia from the ancient fortification; and with the city of Byzantium they enclosed five of the seven hills, which, to the eyes of those who approach Constantinople, appear to rise above each other in beautiful order.
The two front runners are fixed, but the one at the apex of the triangle is pivoted, and serves as a rudder. The mast is on the front cross beam, and between the front cross beam and the side beams sufficient space is left for the helmsman. It will be seen from the clumsy construction of the boats that the Germans have not yet learned the art of building these vehicles. By D. PIDGEON.
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