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Updated: June 28, 2025
Then take that for your impudence," said Harpour, intending to bring down the slipper on his shoulder; but Walter dodged down, and parrying the blow with his arm, sent the slipper in a graceful parabola across the wash-hand-stand into Jones's basin. "So, so," said Harpour, "you're a pretty cool hand, you are! Well, I've no time to settle accounts with you now, or I should be late for chapel. But "
As for the Ellipse which served for reflexion, it is evident that it will here become a parabola, since its focus A may be regarded as infinitely distant from the other, B, which is here the focus of the parabola, towards which all the reflexions of rays parallel to AB tend. And the demonstration of these effects is just the same as the preceding.
It is thus, for instance, that the circle seen sideways is changed into that kind of oval which among geometricians is known as an ellipse, and sometimes even into a parabola or a hyperbola, or actually into a straight line, witness the ring of Saturn. The external senses, properly speaking, do not deceive us. It is our inner sense which often makes us go too fast.
Consequently, anything coming to the Sun from a great distance must have one exact amount of proper motion to produce a parabola: all other amounts would give hyperbolas or ellipses. And if there are no hyperbolic orbits, then it is infinity to one that all the orbits are elliptical. This is just what they would be if comets had the genesis above supposed.
Walky, as though shot from a catapult, described a parabola over his horse's head and landed with a crash on all fours directly under Josephus' nose. Never was the old horse known to make an unnecessary motion. But the sudden flight and unexpected landing on the dock of his driver, quite excited Josephus.
He described a bold parabola and fell sitting, and unconsciously waving his glittering blade, into the yellow Tiber. The laughing ladies screamed and wrung their hands, all but Gerard's fair. She uttered something very like an oath, and seizing the helm steered the boat out, and the gallant came up sputtering, griped the gunwale, and was drawn in dripping. He glared round him confusedly.
Such a book is the sport of a geometrical giant wantonly amusing himself with his strength. Among his mathematical investigations must not be omitted the quadrature of the parabola. His fame depends, however, not so much on his mathematical triumphs as upon his brilliant discoveries in physics and his mechanical inventions.
"Only, my dear friend," said Barbican to Ardan, "this change of curve involves no change in the doom of the Projectile. We are as infallibly lost by an ellipse as by a parabola." "Well, there was one thing I never could reconcile myself to in the whole arrangement," replied Ardan cheerfully; "and that was destruction by an open curve.
It is in the form of 'application of areas' that Apollonius obtains the fundamental property of each of the conic sections, and, as we shall see, it is from the terminology of application of areas that Apollonius took the three names parabola, hyperbola, and ellipse which he was the first to give to the three curves.
The reflectors originally employed were casts in plaster of Paris, from a mould formed to the parabolic curve, and lined with facets of mirror-glass. The power of these reflectors, however, was comparatively small, from the reflecting surface being composed of numerous pieces, in each of which only one point coincided with the curve of the parabola.
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