They breakfasted then at two in the morning; the hour mattered little. Michel served his usual repast, crowned by a glorious bottle drawn from his private cellar. If ideas did not crowd on their brains, we must despair of the Chambertin of 1853. The repast finished, observations began again. Around the projectile, at an invariable distance, were the objects which had been thrown out. Evidently, in its translatory motion round the moon, it had not passed through any atmosphere, for the specific weight of these different objects would have checked their relative speed. On the side of the terrestrial sphere nothing was to be seen. The earth was but a day old, having been new the night before at twelve; and two days must elapse before its crescent, freed from the solar rays, would serve as a clock to the Selenites, as in its rotary movement each of its points after twenty-four hours repasses the same lunar meridian. On the moon's side the sight was different; the orb shone in all her splendour amidst innumerable constellations, whose purity could not be troubled by her rays. On the disc, the plains were already returning to the dark tint which is seen from the earth. The other part of the nimbus remained brilliant, and in the midst of this general brilliancy Tycho shone prominently like a sun. Barbicane had no means of estimating the projectile's speed, but reasoning showed that it must uniformly decrease, according to the laws of mechanical reasoning. Having admitted that the projectile was describing an orbit round the moon, this orbit must necessarily be elliptical; science proves that it must be so. No motive body circulating round an attracting body fails in this law. Every orbit described in space is elliptical. And why should the projectile of the Gun Club escape this natural arrangement? In elliptical orbits, the attracting body always occupies one of the foci; so that at one moment the satellite is nearer, and at another farther from the orb around which it gravitates. When the earth is nearest the sun she is in her perihelion; and in her aphelion at the farthest point. Speaking of the moon, she is nearest to the earth in her perigee, and farthest from it in her apogee. To use analogous expressions, with which the astronomers' language is enriched, if the projectile remains as a satellite of the moon, we must say that it is in its "aposelene" at its farthest point, and in its "periselene" at its nearest. In the latter case, the projectile would attain its maximum of speed; and in the former its minimum. It was evidently moving towards its aposelenitical point; and Barbicane had reason to think that its speed would decrease up to this point, and then increase by degrees as it neared the moon. This speed would even become _nil_, if this point joined that of equal attraction. Barbicane studied the consequences of these different situations, and thinking what inference he could draw