Vietnam or Thailand ? Vote for the TOP Country of the Week !
Updated: May 23, 2025
It was to be feared so. But the projectile must describe a curve unalterably determined by the laws of mechanical reasoning. Barbicane was inclined to believe that this curve would be rather a parabola than a hyperbola. But admitting the parabola, the projectile must quickly have passed through the cone of shadow projected into space opposite the sun.
I believe she is trying to idealize what we vulgarly call deformity, which she strives to look at in the light of one of Nature's eccentric curves, belonging to her system of beauty, as the hyperbola, and parabola belong to the conic sections, though we cannot see them as symmetrical and entire figures, like the circle and ellipse.
"Then remember this, Captain Nicholl, what I like in your definition of the hyperbola I was going to say of the hyperhumbug is that it is still less easy to understand than the word you pretend to define." Nicholl and Barbicane paid no attention to Michel Ardan's jokes. They had launched into a scientific discussion. They were eager about what curve the projectile would take.
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.
And an hyperbola?" asked Michel. "It is a curve formed by a section of a cone when the cutting plane makes a greater angle with the base than the side of the cone makes." "Is it possible?" exclaimed Michel Ardan in the most serious tone, as if he had been informed of a grave event.
He also wrote various sorts of hands, fearful and marvellous to the uninitiated, with which he was wont to decorate my monthly reports to my grandfather. I can shut my eyes and see now that wonderful hyperbola in the C in Carvel, which, after travelling around the paper, ended in intricate curves and a flourish which surely must have broken the quill.
Take this or that term, place the + sign before it and forthwith you have the ellipse, the trajectory of the planets, with its two friendly foci, transmitting pairs of vectors whose sum is constant; substitute the sign and you have the hyperbola with the antagonistic foci, the desperate curve that dives into space with infinite tentacles, approaching nearer and nearer to straight lines, the asymptotes, but never succeeding in meeting them.
Besides one finds by a calculation as easy as the preceding one, that CDE is here a hyperbola of which the axis DO is 4/5 of AD, and the parameter equal to AD. Whence it is easily proved that DO is to the distance between the foci as 3 to 2.
If he were an idealist painter, like Rossetti, he would paint great allegorical pictures for us, representing an asymptotic curve appearing to him in a dream, and introducing that blushing maiden, Hyperbola, to his affectionate consideration. As Berkeley spoke, a rap sounded on the oak, and Ernest Le Breton entered the room.
Further on, the wall ends at the foot of a tower called Quiquengrogne; like its sister, La Générale, it is high, broad, and imposing, and is swelled in the middle like a hyperbola. Though they are as good as new and absolutely intact, these towers would no doubt be improved if they lost some of their battlements in the sea and if ivy spread its kindly leaves over their tops.
Word Of The Day
Others Looking