Crystals are formed by arranging these spheres in the same way as you may arrange marbles or pile up cannon balls.

There is nothing in the hypothesis to interfere with the undulating theory of light, or with any theory that reposes strictly upon observed facts; but this we may discuss on a future occasion.

I need hardly say that it is in consequence of their great velocity that the atoms of ether acquire sufficient momentum to communicate sensible motion to ponderable matter.

Ponderable matter may possibly be composed of the aggregation of ethereal atoms; but M. Leray thinks not. He can see no good reason why it should be so.

Cohesion and chemical affinity may be explained on this hypothesis. Its leading feature is that it explains how such natural phenomena as do not involve vital or mental action may be explained on the simplest mechanical principles, and without involving that “bugaboo,” action at a distance. Of course, Dr. Frankland’s ideas of “bonds,” “active and latent atomicities,” &c., are inadmissible on this hypothesis.

The demonstrations are rigorously given, and the work involves a good deal of high mathematics. It is utterly impossible to do justice to the theory in the above brief sketch of it. The theorems of Euclid, if thus stated, would many of them appear improbable and absurd. The work itself can be procured from M. Gauthier Villars, 55, Quai des Grands Augustins, Paris, price three francs. It is copiously illustrated with woodcuts. A new edition has just appeared.

Some idea of the distance between the atoms of ponderable matter, when in the form of gas, may be gathered from a remark of Dr. Mann’s in his Guide to a Knowledge of Life, at page 13, where he says:—

“It can be shown to be highly probable that the ultimate atoms of gases are at least one hundred times their own diameter asunder even when those gases are held in confined vessels.”

The earth and the moon are, therefore, about three times as near together, in proportion to the diameter of the earth, as two atoms of a gas are, if the above remark be true.

In Sir Isaac Newton’s corpuscular theory of light the atoms emitted from the sun were supposed to follow one another at a distance of about a thousand miles apart! Under such circumstances the impact of two atoms of intersecting rays of light would be a comparatively rare event.