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Updated: June 28, 2025
Therefore, when, from the top of the appointed rock, she observed a carefully composed bunch of mauve Cattleyas describe a parabola and finally join two previous clusters upon the spines of a prickly-pear patch, she divined some energizing force back of the phenomenon. That energizing force she surmised was temper. "Fie!" said she severely. "Beetle gentlemen should control their little feelings.
It was a faulty one. Curving surface-ward in a sharply changing parabola, the pilot over-corrected and had to wait to gather down-speed, and then over-corrected again. It was an altogether clumsy landing. The ship was not even perfectly vertical when it settled not quite in the landing-area marked by silvery triangles. One of its tail-fins crumpled slightly. It tilted a little when fully landed.
William Tell would not have been one whit more likely to cleave the apple if he had known that his arrow would describe a parabola under the influence of the attraction of the earth. Captain Barclay would not have been more likely to walk a thousand miles in a thousand hours, if he had known the place and name of every muscle in his legs.
For Fabre was born a poet, and mathematics borders upon poetry; he saw in algebra "the most magnificent flights," and the figures of analytical geometry unrolled themselves in his imagination "in superb strophes"; the Ellipse, "the trajectory of the planets, with its two related foci, sending from one to the other a constant sum of vector radii"; the Hyperbole, "with repulsive foci, the desperate curve which plunges into space in infinite tentacles, approaching closer and closer to a straight line, the asymptote, without ever finally attaining it"; the Parabola, "which seeks fruitlessly in the infinite for its second, lost centre: it is the trajectory of the bomb: it is the path of certain comets which come one day to visit our sun, then flee into the depths whence they never return."
"The properties of the spiral and the quadrature of the parabola were added to ancient geometry by Archimedes, the last being a great step in the progress of the science, since it was the first curvilineal space legitimately squared."
But a river normally describes in its course a parabola, the steep descent being in the upper part; and we hoped that in the future we should not have to encounter so many and such difficult rapids as we had already encountered, and that therefore we would make better time a hope destined to failure. The mightiest river in the world is the Amazon.
He must follow its spent force, and watch it slowly sink with ever dwindling impetus to earth. Intellectual movements, when we isolate them in a special country, observing the causes that set them in motion and calculating their retarding influences, may, not unreasonably, be compared to the parabola of a projectile.
The combination of a centripetal with a projectile force, in the proportions which obtain in all the planets and satellites of our solar system, gives rise to an elliptical motion; but if the ratio of the two forces to each other were slightly altered, it is demonstrable that the motion produced would be in a circle, or a parabola, or an hyperbola: and it has been surmised that in the case of some comets one of these is really the fact.
She goes to school three days in the week, besides walking to East-hill on Thursday, to help in the singing; and she is getting dreadfully learned. Guy gave her his old mathematical books, and Charlie always calls her Miss Parabola.
In firing at short range, the trajectory is not as rigid as could be desired, the parabola is exaggerated, the line of the projectile is no longer sufficiently rectilinear to allow of its striking intervening objects, which is, nevertheless, a necessity of battle, the importance of which increases with the proximity of the enemy and the precipitation of the discharge.
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