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Updated: April 30, 2025
The cubby-hole in which Hildreth earned his bread by the sweat of his brain was dark even at midday; and during working hours the editor sat under a funnel-shaped reflector in a conic shower-bath of electric light which flooded man and desk and left the corners of the room in a penumbra of grateful twilight.
Pryor informs that when he approached the Indian Camp they Came to meet them Supposeing Cap Lewis or my Self to be of the party intending to take us in a roabe to their Camp-he approached the Camp which was handsum made of Buffalow Skins Painted different Colour, their Camps formed of a Conic form Containing about 12 or 15 persons each and 40 in number, on the River Jacque of 100 yds wide & Deep Containing but little wood, They had a fat dog Cooked as a feest; for them, and a Snug aptmt for them to lodge on their march they passed thro plains Covd. with game &. &. &.
The law of the projection of a sphere upon a plane is simple, in whatever position the plane may be. And if we seek a law for the ellipse, or either of the conic sections, which shall confine our attention to the plane, the laws remain simple.
Blaise Pascal, mathematician, theologian, and one of the greatest writers of French prose, was born on June 19, 1623, at Clermont-Ferrand, and died on August 19, 1662. His mother died in his fourth year, and the father, an eminent lawyer, took the boy with his two sisters to Paris. Pascal showed the most astonishing mathematical genius; he produced at the age of seventeen a profound work on conic sections, and devoted the following years to physical researches and to investigations in the higher mathematics. In 1654, Pascal, having experienced a remarkable vision, which he recorded on a parchment known as his "amulet," renounced the world and entered on the ascetic life, in close relations with the Jansenist community. Hence, in the interests of Arnauld, the Jansenist leader, Pascal issued the famous "Letters Written to a Provincial" ("Lettres Écrites par Louis de Montalte
In these the Piton preserves its conic figure to the very summit: the whole of their declivity is inclined the same number of degrees, and uniformly covered with a layer of pumice-stone very minutely divided; when we reach the top of these volcanoes, nothing obstructs the view of the bottom of the crater. The peaks of Teneriffe and Cotopaxi, on the contrary, are of very different construction.
By taking a more general view of the subject Newton demonstrated 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 hyberbolic orbit.
Thus the properties of the ellipse, the hyperbola, and the parabola, continued to be studied by after mathematicians; but no use was made of this knowledge till nearly two thousand years later, when Kepler crowned the labours of Apollonius with the great discovery that the paths of the planets round the sun were conic sections.
Give 'em something light from conic sections first." Cadet Holmes sketched out, on the back of an envelope, the demonstration of a short problem. Tom and Harry looked on laughingly, at first. Then their eyes began to open. "Do you really have to dig up that sort of stuff at West Point," demanded Reade. "Yes," nodded Dick. "And now I'll show you another easy one, belonging to descriptive geometry."
It may one day be conic sections, another Greek iambics, and a third German philosophy. Rumour began to say that foreign languages were now very desirable. The three excellent married gentlemen who stood first in succession for the coveted promotion were great only in their vernacular.
The conic section is submitted to algebra, an obstetrical appliance which brings forth the equation; and behold, entreated now in one direction, now in another, the womb of the formula gives birth to the ellipse, the hyperbola, the parabola, their foci, their radius vectors, their tangents, their normals, their conjugate axes, their asymptotes and the rest.
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