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Updated: April 30, 2025
In the case of the conic sections discovered by Apollonius Pergaeus, twenty centuries elapsed before they were made the basis of astronomy a science which enables the modern navigator to steer his way through unknown seas and traces for him in the heavens an unerring path to his appointed haven.
His most important work is a treatise on conic sections, regarded with unbounded admiration by contemporaries, and, in some respects, unsurpassed by any thing produced by modern mathematicians. He, however, made use of the labors of his predecessors, so that it is difficult to tell how far he is original. But all men of science must necessarily be indebted to those who have preceded them.
Plans and specifications showing its extent and magnificence have been continually before the board for the last month; and in such repute have been a smashed door-sill or an old arch, that freshmen have now abandoned conic sections for crowbars, and instead of the "Principia" have taken up the pickaxe.
By taking a more general view of the subject, Newton showed that a conic section was the only curve in which a body could move when acted upon by a force varying inversely as the square of the distance; and he established the conditions depending on the velocity and the primitive position of the body which were requisite to make it describe a circular, an elliptical, a parabolic, or a hyperbolic orbit.
Equations, conic sections, differential calculus, constitute a skull and cross-bones to which I allow as wide a berth as possible." The weary dissatisfied expression of her large, luminous eyes, belied the sneer in her voice and the curl of her thin lip, and it cost her an effort to answer his next question.
The newspaper was marked with large blue chalk crosses at a paragraph which related how the degree of D.Sc. had been conferred. Honoris Causâ upon Mr. Nicholas O'Beirne by the University of Sarabraxville. And in the parcel, more astonishing still, was a brown-covered book, lettered on the back: A Treatise on Conic Sections, by Nicholas O'Beirne.
"Knowing Mrs. Stanley's appetite, I only wonder that any of the loaves and fishes should be left over," she drawled maliciously. "Mrs. Stanley has her good points, Sally." Bobby interrupted. "Not a point. She is all built in parabolic curves. Why can't you be accurate, Beatrix, as befits your higher education? You took conic sections a year before I did."
During two winters I attended the private lectures of Monsieur de Traytorrens, who explained the elements of algebra and geometry, as far as the conic sections of the Marquis de l'Hopital, and appeared satisfied with my diligence and improvement.
A certain Chever also performed sundry singular mathematical feats, such as squaring the circle, a problem which he reduced to the single question, Construere mundum divinae menti analogum, and showing that the parabola, the only conic section squared by ancient or modern geometers, could never be quadrated, to the eternal discomfiture and discredit of the shade of Archimedes.
If they had let me alone till I'd publish to the world my Treatise upon Conic Sections but to be cut off on my march to fame! another draught of the hydraulics, Nancy, an' then for the priest But see, bring Father Connell, the curate, for he understands something about Matthew-maticks; an' never heed Father Roger, for divil a thing he knows about them, not even the difference between a right line and a curve in the page of histhory, to his everlasting disgrace, be the same recorded!"
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