One of the strongest objections to Olbers' hypothesis is that only a few of the first asteroids discovered travel in orbits which measurably satisfy the requirement that they should all intersect at the point where the explosion occurred.
I mentioned it to the guide, and he said that the spire did really swing back and forward, I think he said some feet. Keep any line of knowledge ten years and some other line will intersect it. A man can shake it so that the movement shall be shown in a vessel of water nearly seventy feet below the summit, and higher up the vibration is like that of an earthquake.
At the same instant two of these birds those already introduced were seen mounting into the air. They did not fly up vertically, as the swan had done, but in spiral curves, wheeling and crossing each other as they ascended. They were making for a point that would intersect the flight of the swan should he keep on in his horizontal course. This, however, he did not do.
The streets are few compared with the number of canals that intersect the city in all directions. The most remarkable of the former is one that runs parallel with the Grand Palace, and terminates in what is now known as "Sanon Mai," or the New Road, which extends from Bangkok to Paknam, about forty miles, and crosses the canals on movable iron bridges.
She performed the journey on horseback, under the intense heat of a vertical sun, across a desert, impeded by the precipitous beds of torrents which intersect the country in every direction. On her arrival at Quilca, she was most hospitably received by the Marchioness de la Pracer, who placed her palace and every luxury at Lady Cochrane's disposal.
Such a line, if extended according to the literal terms of the treaty, would, it is obvious, occasionally intersect islands. The manner in which the commissioners of the two Governments dealt with this difficult subject may be seen in their reports.
The smaller orbits are so small that, however turned about, they lie wholly inside the larger and can not be made to intersect them.
It is the solitary looker-on who sees more than the actors in the great drama of every-day life. Above all, it is most curious to observe how the lines of barbarism and civilization intersect along these teeming avenues. There is a district of the city near its very centre, known as Chinatown, which is at total variance with the general surroundings.
He heard the distant roll of the waters, caused by the numerous creeks which intersect the delta of the Ganges, and when darkness completely shut out the view it was impossible to tell whether he was over land or sea.
Thus the position of the event-particle in the temporal series α is defined by this moment, which we will call M. The position of the particle in the space of M is then fixed in the ordinary way by three levels which intersect in it and in it only. This procedure of fixing the position of an event-particle shows that the aggregate of event-particles forms a four-dimensional manifold.