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ter has been finally settled by the greatest of modern mathematicians, Le Verrier, who has subjected the eccentricities, distances, and inclinations of the orbits of the asteroids to a mathematical investigation, the result of which is as follows: "In the present state of things, these eccentricities and these inclinations are totally incompatible with Olbers' hypothesis, which supposed that the small planets--some of which were discovered even in his day--were produced from the wreck of a larger star, which had exploded. The forces necessary to launch the fragments of a given body in such different routes (whose existence we should be obliged to suppose) would be of such an improbable intensity, that the most limited mathematical knowledge could not but see its absurdity." He concludes the memoir by advancing four propositions, "which forever annihilate Olbers' hypothesis."[198] 3. _The progress of astronomical discovery has utterly refuted the notion of creation by natural law, known as the Development Theory, or the Nebular Hypothesis._ Scientific Infidels knew that there was too much order and regularity in the motions of the planets to allow any rational mind to ascribe these motions to accident, according to Buffon's notion. They saw that these movements must be regulated by law. La Place, an eminent mathematician, saw that there are at least five great regularities pervading the system, for which Buffon's theory gave no reason: 1. The planets all move in elliptical orbits, nearly circular. They might, on the contrary, have been as elongated as those of comets. 2. They revolve in orbits nearly in the plane of the sun's equator. They might have revolved in orbits inclined to it at any angle, or even in the plane of his poles. 3. They revolve around the sun all in the same direction, which is the direction of his rotation on his axis. 4. They rotate on their axes, also, so far as known, in the same direction. 5. The satellites (with the exception of those of Uranus) revolve around their primary planets, and also rotate on their axes, in the same normal direction. It was evident, even to the believers in chance, that so many regularities were not produced by accident. La Place found, by computing the chances by the formula of probabilities, that the chances were two millions to one against these regularities happening by chance, _and four millions to one in favor of these motions having a common o
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