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The proportions which exist happen to be such as to produce regular elliptical motions; any other proportions would have produced different ellipses, or circular, or parabolic, or hyperbolic motions, but still regular ones; because the effects of each of the agents accumulate according to a uniform law; and two regular series of quantities, when their corresponding terms are added, must produce a regular series of some sort, whatever the quantities themselves are.
None of these levels can intersect, and they form a family of parallel instantaneous planes in the instantaneous space of moment A. Thus the parallelism of moments in a temporal series begets the parallelism of levels in an instantaneous space, and thence as it is easy to see the parallelism of rects. Accordingly the Euclidean property of space arises from the parabolic property of time.
Shooting-stars, on the contrary, are entirely exempt from such limitations. The Yale Professor concluded "that the larger meteorites moving in our solar system are allied much more closely with the group of comets of short period than with the comets whose orbits are nearly parabolic." They would thus seem to be more at home than might have been expected amid the planetary family.
He noticed that Newton ascribed parabolic orbits to the comets which he studied, so that they come from infinity, sweep round the sun, and go off to infinity for ever, after having been visible a few weeks or months. He collected all the reliable observations of comets he could find, to the number of twenty-four, and computed their parabolic orbits by the rules laid down by Newton.
But here the exigencies of the parabolic form require that the office of Cultivator should be assigned only to the Father; although we are not to forget that the Father, in that office, works through and in His Son. But we should note that the one kind of husbandry spoken of here is pruning not manuring, not digging, but simply the hacking away of all that is rank and all that is dead.
Hard to say, but certainly not slowly, certainly rapidly enough to be out of the shadow by this time, if describing a curve rigidly parabolic. Was the curve therefore not parabolic? Another puzzling problem and sadly bewildering to poor Barbican, who had now almost lost his reason by attempting to clear up questions that were proving altogether too profound for his overworked brains.
But when the grain is ready, immediately he putteth in the sickle, because harvest is come. And he said, To what shall I liken the kingdom of God, and under what parabolic figure shall I represent it?
This the inventor effected by the simplest means in the world simply a parabolic reflector by which the destructive waves could be sent like a beam of light, but invisible, in any direction and focused upon any desired point. Testing the "Disintegrator." I had the good fortune to be present when this powerful engine of destruction was submitted to its first test. We had gone upon the roof of Mr.
After a time the watchers picked out a minute point of light, moving comparatively rapidly against the stars, and knew it to be the searchlight of the Kondal. Soon the two vessels were almost side by side, moving cautiously forward, and Seaton set up a sixty-inch parabolic reflector, focused upon a coil.
It fought like the angels and devils, in mid-air, cleaving the atmosphere like a bird, describing a parabolic curve and descending upon its victim at just the exact angle of incidence to make the most of its velocity and weight. Its momentum, calculated in foot-tons, was something incredible. It had been seen to destroy a four year old bull by a single impact upon that animal's gnarly forehead.
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