How indeed could it be otherwise? The extraordinary value, for explanation and prevision, of those mathemati-
it does, in the larger circle, has the greater amount of this natural motion, and consequently requires the lesser force. Or recall the explanation by Herodotus of the position of the sun in winter: It moves to the south because of the cold which drives it into the warm parts of the heavens over Libya. Or listen to Saint Augustine's speculations: "Who gave to chaff such power to freeze that it preserves snow buried under it, and such power to warm that it ripens green fruit? Who can explain the strange properties of fire itself, which blackens all that it burns, though itself bright, and which, though of the most beautiful colors, discolors almost all that it touches and feeds upon, and turns blazing fuel into grimy cinders? … Then what wonderful properties do we find in charcoal, which is so brittle that a light tap breaks it, and a slight pressure pulverizes it, and yet is so strong that no moisture rots it, nor any time causes it to decay." City of God, book xxi. ch. iv.
Such aspects of things as these, their naturalness and unnaturalness, the sympathies and antipathies of their superficial qualities, their eccentricities, their brightness and strength and destructiveness, were inevitably the ways in which they originally fastened our attention. If you open early medical books, you will find sympathetic magic invoked on every page. Take, for example, the famous vulnerary ointment attributed to Paracelsus. For this there were a variety of receipts, including usually human fat, the fat of either a bull, a wild boar, or a bear; powdered earthworms, the usnia, or mossy growth on the weathered skull of a hanged criminal, and other materials equally unpleasant—the whole prepared under the planet Venus if possible, but never under Mars or Saturn. Then, if a splinter of wood, dipped in the patient's blood, or the bloodstained weapon that wounded him, be immersed in this ointment, the wound itself being tightly bound up, the latter infallibly gets well,—I quote now Van Helmont's account,—for the blood on the weapon or splinter, containing in it the spirit of the wounded man, is roused to active excitement by the contact of the ointment, whence there results to it a full commission or power to cure its cousin-german, the blood in the patient's body. This it does by sucking out the dolorous and exotic impression from the wounded part. But to do this it has to implore the aid of the bull's fat, and other portions of the unguent. The reason why bull's fat is so powerful is that the bull at the time of slaughter is full of secret reluctancy and vindictive murmurs, and therefore dies with a higher flame of revenge about him than any other animal. And thus we have made it out, says this author, that the admirable efficacy of the ointment ought to be imputed, not to any auxiliary concurrence of Satan, but simply to the energy of the posthumous character of Revenge remaining firmly impressed upon the blood and concreted fat in the unguent. J. B. Van Helmont: A Ternary of Para-