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Updated: May 28, 2025
The Kunnel has met a foeman worthy of his steel," said Foster, in great glee, as he bent above the Colonel. "I know. How do I know, quotha? By the curve on the Kunnel's back. The size of the parabola described by that backbone accurately gauges his adversary's skill. But, by the way, gentlemen, have you but that's a nice point, and I refer all nice points to Professor Knapp.
Menaechmus, a pupil of Eudoxus, was the discoverer of the conic sections, two of which, the parabola and the hyperbola, he used for solving the problem of the two mean proportionals. If a:x=x:y=y:b, then x²=ay, y²=bx and xy=ab.
From the point of view of the importance of finding out the divergence of a cometary orbit from a parabola, its period, and its aphelion distance, this increase of range attains the very highest value.
The sides of the boat are two planes parallel with its axis, and perfectly vertical. The surface thus formed is a parabola whose apex is in front, the maximum ordinate behind, and the concavity directed toward the bottom of the water. The stern is a vertical plane intersecting at right angles the two lateral faces and the parabolic curve, which thus terminates in a sharp edge.
There were stone jugs at each extremity, the sergeants of the rear-rank of this gastronomic platoon, whose corks had blown out and were still flying in space, while a bubbling white foam issued from their necks and fell majestically over their sides after describing a long parabola. A misleading sign, indeed!
Now here we have four different species of curve circle, ellipse, parabola, and hyperbola each having its peculiar properties and its separate equation, and the first and last of which are quite opposite in nature, connected together as members of one series, all producible by a single process of insensible modification.
I heard all round me like a pent-up breath released as if a thousand giants simultaneously had said Phoo! and felt a dull concussion which made my ribs ache suddenly. No doubt about it I was in the air, and my body was describing a short parabola.
A few of the pertinent observations are here noted. A light arrow from a heavy bow, say a sixty-five pound yew bow, travels at an initial velocity of one hundred and fifty feet per second, as determined by a stopwatch. Shooting at one hundred yards, such an arrow is discharged at an angle of eight degrees, and describes a parabola twelve to fifteen feet high at its crest.
The man described a parabola in the air, and came down on the very top of his head with frightful force; and as he lay, his head buried in his hat and his heels kicking, Robinson without a moment lost jumped over his body, and klopetee klop rang fainter and fainter down the road alone.
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