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Now, if one has been able to reach the heart of a poem, answering to Goethe's parabolic description; or even to discover a loop-hole, through which, from an opposite point, the glories of its stained windows are visible; it is well that he should seek to make others partakers in his pleasure and profit.
And in the Hills, with their jolts and precipitous windings, infested too by Pandours, the poor Prussian Main Body, on its wide parabolic circuit, has a time of it!
Always, however, is exerted the gravitational pull of matter, and the energy that drove through, instead of pursuing a right line, tends to bend in a parabolic curve, like the trajectory of a cannon ball.
His blood is presented to God, and if we have associated ourselves with Him by faith, that blood sprinkled on the altar covers all our sins. Then followed in this parabolic ceremonial the burnt offering.
Modern Pharisees nail that antique Ideal of loveliness and purity to a mathematical cross. Now it is capable of distinct proof, that abstract Lines of Beauty, even in a greater degree than any other expressions of Art, are born and baptized in Love. Because parabolic curves frequently coincide with these lines, it is no proof that they created them.
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.
At shorter lengths the archer must estimate the distance below the mark on which his arrow seems to rest in order to rise in a parabolic curve and strike the spot. At greater ranges he must estimate a distance above the mark on which he holds his arrow in order to drop it on the object of his shot.
'I have received letters, he said, 'about the comets of the last few years, enough to make one's hair stand on end at the absurdity of the theories they propose, and at the ignorance of the commonest laws of optics, of motion, of heat, and of general physics, they betray in their writers. In the present instance, the correspondence showed that the paradoxist supposed the parabolic paths of some comets to be regarded by astronomers as analogous to the parabolic paths traversed by projectiles.
And so I want to ask you to look at these words, which, by a legitimate extension of the writer's meaning, and taking them in a kind of parabolic way, may sum up for us the whole of the special duties of youth. 'A time to plant. I. Now, my first remark is this: that you are now in the planting time of your lives.
He expressed considerable astonishment when I informed him that, in the first place, projectiles do not travel on truly parabolic paths; and secondly, that in all respects their motion differs essentially from that which astronomers ascribe to comets. The earth-flatteners form a considerable section of the paradoxical family.
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