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An observing geometer who, from his infancy, had never quitted his chamber of study, and who had never viewed the heavens except through a narrow aperture directed north and south, in the vertical plane in which the principal astronomical instruments are made to move, to whom nothing had ever been revealed respecting the bodies revolving above his head, except that they attract each other according to the Newtonian law of gravitation, would, however, be enabled to ascertain that his narrow abode was situated upon the surface of a spheroidal body, the equatorial axis of which surpassed the polar axis by a three hundred and sixth part; he would have also found, in his isolated immovable position, his true distance from the sun.

The Cartesians long rejected the Newtonian doctrine of the gravitation of all bodies toward one another, on the faith of a general proposition, the reverse of which seemed to them to be inconceivablethe proposition that a body can not act where it is not.

The cool-headed Delambre, in his "Histoire de l'Astronomie," speaks of Kepler with the heat of a pamphleteer, and cannot repress a frequent sneer at his contemporary, Galileo. We know the splendor of the Newtonian synthesis; yet we do not find ourselves affected by Newton's character or discoveries. He touches us with the passionless love of a star.

"The principles of the Newtonian philosophy," says our author, "were no sooner known, than it was seen how few in comparison, of the phenomena of nature, were owing to solid matter, and how much to powers, which were only supposed to accompany and surround the solid parts of matter.

In doing this he widely diverges from the Newtonian theory; reaches by syllogism the conviction that the planets are the most perfect celestial bodies; and, not being able to bring the stars within his theory, says that they are mere formal existences and not living matter, and that as compared with the solar system they are as little admirable as a cutaneous eruption or a swarm of flies.

The Cartesians long rejected the Newtonian doctrine of the gravitation of all bodies towards one another, on the faith of a general proposition, the reverse of which seemed to them to be inconceivablethe proposition that a body cannot act where it is not.

"I found that the observatory boasts of two good instruments: a meridian circle, which must be good, from its appearance, and a Newtonian telescope, differently mounted from any I had seen; cased in a composition tube which is painted bright blue rather a striking object. The iron mounting seemed to me good. It was of the German kind, but modified.

From this darkness it emerges through red and passes through orange to yellow at the other end. Again, where the two interior colour-cones merge, there an additional colour appears. Like green, it is of a neutral character, but at the same time its quality is opposite to that of green. In Newtonian optics, which assumes colour to be derived from light only, this colour has naturally no existence.

Between the primitive method of Deduction and that which I have attempted to characterize, there is all the difference which exists between the Aristotelian physics and the Newtonian theory of the heavens.

It was not, indeed, until mathematical astronomy attained a considerable advance, and men began to measure the distances in the solar system, and until the Newtonian theory of gravitation was developed, that the planetary orbits and the relation of the various bodies in the solar system to each other could be perfectly discerned.