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Within this ebon framework were features to mock the sculptor's chisel. The mouth, with its delicate rose-coloured ellipse; the nose, with smooth straight outline, and small recurvant nostril; the arching brows of jet; the long fringes upon the eyelids; all were vividly before me, and all unlike the features of Eugenie Besancon. The colour of the skin, too even that was different.
His photometer was probably suggested by this appliance. It enables two lights to be compared by the relative brightness of their reflections in a silvered bead, which describes a narrow ellipse, so as to draw the spots into parallel lines.
Although Euclid knew that an ellipse could be otherwise produced, e. g. as an oblique section of a right cylinder, there is no doubt that he produced all three conics from right cones like his predecessors.
But a less velocity than thirty feet per second would cause the golden missile to fly only part way around, while a greater velocity would give it an elliptical instead of a circular orbit, and in this ellipse it would continue to revolve around the asteroid in the character of a satellite.
They moved in single file, most of them making two steps and a slight turn to left, two steps and a slight turn to right, while others moved straight on. In this way they described a drawn-out circle, approaching an ellipse, sixteen times. After the dancing those who took part in the ceremonies ate toasted rice.
For many years a satisfactory explanation was sought unsuccessfully by Bradley and his fellow-astronomers, but at last he was able to demonstrate that the stary Draconis, on which he was making his observations, described, or appeared to describe, a small ellipse. If this observation was correct, it afforded a means of computing the aberration of any star at all times.
For example, when we have proved with respect to the circle, that a straight line can not meet it in more than two points, and when the same thing has been successively proved of the ellipse, the parabola, and the hyperbola, it may be laid down as a universal property of the sections of the cone.
According to the fundamental canon, a conic section should be a beautiful curve; and the proof that it is so is to be found in the attention which these curves have always drawn upon themselves from artists and from mathematicians. Plato, equally great in mathematics and in metaphysics, is said to have been the first to investigate the properties of the ellipse.
This, of course, is contrary to the spirit of beautiful design; and the ingenious Hay, who maintains that his "composite ellipse" is capable of universal application in the arts of ornamental composition, and that by its use any desirable lines in mouldings or vases can be mechanically produced, especially Greek lines, falls into the grave error of endeavoring to materialize and fix that animula vagula, blandula, that coy and evasive spirit of Art, which is its peculiar characteristic, and gives to its works inspiration, harmony, and poetic sentiment.
Two of the inner trilithons, the highest rising twenty-five feet, remain perfect, and there are two single uprights, which lean considerably. The flat slab or altar-stone is lying on the ground. The avenue of approach opens in front of the inner ellipse and in a line with the altar-stone.
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