"That the earth has no movement of rotation," in Opera Quæ Exstant Omnia, edidit Heiberg, Leipsic, 1898, Bk. I, sec. 7: (I, 21-25); compared with the translation into French by Halma, Paris, 1813.
By proofs similar to the preceding, it is shown that the earth cannot be transported obliquely nor can it be moved away from the center. For, if that were so, all those things would take place which would happen if it occupied any other point than that of the center. It seems unnecessary to me, therefore, to seek out the cause of attraction towards the center when it is once evident from the phenomena themselves, that the earth occupies the center of the universe and that all heavy bodies are borne towards it; and this will be readily understood if it is remembered that the earth has been demonstrated to have a spherical shape, and according to what we have said, is placed at the center of the universe, for the direction of the fall of heavy bodies (I speak of their own motions) is always and everywhere perpendicular to an uncurved plane drawn tangent to the point of intersection. Obviously these bodies would all meet at the center if they were not stopped by the surface, since a straight line drawn to the center is perpendicular to a plane tangent to the sphere at that point.
Those who consider it a paradox that a mass like the earth is supported on nothing, yet not moved at all, appear to me to argue according to the preconceptions they get from what they see happening to small bodies about them, and not according to what is characteristic of the universe as a whole, and this is the cause of their mistake. For I think that such a thing would not have seemed wonderful to them any longer if they had perceived that the earth, great as it is, is merely a point in comparison to the surrounding body of the heaven. They would find that it is possible for the earth, being infinitely small relative to the universe, to be held in check and fixed by the forces exercised over it equally and following similar directions by the universe, which is infinitely great and composed of similar parts. There is neither up nor down in the universe, for that cannot be imagined in a sphere. As to the bodies which it encloses, by a consequence of their nature it happens that those that are light and subtle are as though blown by the wind to the outside and to the circumference, and seem to appear to us to go up, because that is how we speak of the space above our heads that envelops us. It happens on the other hand that heavy bodies and those composed of dense parts are drawn towards the middle as towards a center, and appear to us to fall down, because that it is the word we apply to what is beneath our feet in the direction of the center of the earth. But one should believe that they are checked around this center by the retarding effect of shock and of friction. It would be admitted then that the entire mass of the earth, which is considerable in comparison to the bodies falling on it, could receive these in their fall without acquiring the slightest motion from the shock of their weight or of their velocity. But if the earth had a movement which was common to it and to all other heavy bodies, it would soon seemingly outstrip them as a result of its weight, thus leaving the animals and the other heavy bodies without other support than the air, and would soon touch the limits of the heaven itself. All these consequences would seem most ridiculous if one were only even imagining them.
There are those who, while they admit these arguments because there is nothing to oppose them, pretend that nothing prevents the supposition, for instance, that if the sky is motionless, the earth might turn on its axis from west to east, making this revolution once a day or in a very little less time, or that, if they both turn, it is around the same axis, as we have said, and in a manner conformable to the relations between them which we have observed.
It has escaped these people that in regard to the appearances of the planets themselves, nothing perhaps prevents the earth from having the simpler motion; but they do not realize how very ridiculous their opinion is in view of what takes place around us and in the air. For if we grant them that the lightest things and those composed of the subtlest parts do not move, which would be contrary to nature, while those that are in the air move visibly more swiftly than those that are terrestrial; if we grant them that the most solid and heavy bodies have a swift, steady movement of their own, though it is true however that they obey impelling forces only with difficulty; they would be obliged to admit that the earth by its revolution has a movement more rapid than the movements taking place around it, since it would make so great a circuit in so short a time. Thus the bodies which do not rest on it would appear always to have a motion contrary to its own, and neither the clouds, nor any missile or flying bird would appear to go towards the east, for the earth would always outstrip them in this direction, and would anticipate them by its own movement towards the east, with the result that all the rest would appear to move backwards towards the west.
If they should say that the atmosphere is carried along by the earth with the same speed as the earth's own revolution, it would be no less true that the bodies contained therein would not have the same velocity. Or if they were swept along with the air, no longer would anything seem to precede or to follow, but all would always appear stationary, and neither in flight nor in throwing would any ever advance or retreat. That is, however, what we see happening, since neither the retardation nor the acceleration of anything is traceable to the movement of the earth.
APPENDIX B.
“To His Holiness, Paul III, Supreme Pontiff,
Preface By Nicholas Copernicus to His Books on Revolutions.”
(A translation of the Præfatio in Copernicus: De Revolutionibus; pp. 3-8.)
"I can certainly well believe, most holy Father, that, while mayhap a few will accept this my book which I have written concerning the revolutions of the spheres of the world, ascribing certain motions to the sphere of the earth, people will clamor that I ought to be cast out at once for such an opinion. Nor are my ideas so pleasing to me that I will not carefully weigh what others decide concerning them. And although I know that the meditations of philosophers are remote from the opinions of the unlearned, because it is their aim to seek truth in all things so far as it is permitted by God to the human reason, nevertheless I think that opinions wholly alien to the right ought to be driven out. Thus when I considered with myself what an absurd fairy-tale people brought up in the opinion, sanctioned by many ages, that the earth is motionless in the midst of the heaven, as if it were the center of it, would think it if I were to assert on the contrary that the earth is moved; I hesitated long whether I would give to the light my commentaries composed in proof of this motion, or whether it would indeed be more satisfactory to follow the example of the Pythagoreans and various others who were wont to pass down the mysteries of philosophy not by books, but from hand to hand only to their friends and relatives, as the letter of Lysis to Hipparchus proves.[439] But verily they seemed to me not to have done this, as some think, from any dislike to spreading their teachings, but lest the most beautiful things and those investigated with much earnestness by great men, should be despised by those to whom spending good work on any book is a trouble unless they make profit by it; or if they are incited to the liberal study of philosophy by the exhortations and the example of others, yet because of the stupidity of their wits they are no more busily engaged among philosophers than drones among bees. When therefore I had pondered these matters, the scorn which was to be feared on account of the novelty and the absurdity of the opinion impelled me for that reason to set aside entirely the book already drawn up.
"But friends, in truth, have brought me forth into the light again, though I long hesitated and am still reluctant; among these the foremost was Nicholas Schönberg, Cardinal of Capua, celebrated in all fields of scholarship. Next to him is that scholar, my very good friend, Tiedeman Giese, Bishop of Culm, most learned in all sacred matters, (as he is), and in all good sciences. He has repeatedly urged me and, sometimes even with censure, implored me to publish this book and to suffer it to see the light at last, as it has lain hidden by me not for nine years alone, but also into the fourth 'novenium'. Not a few other scholars of eminence also pleaded with me, exhorting me that I should no longer refuse to contribute my book to the common service of mathematicians on account of an imagined dread. They said that however absurd in many ways this my doctrine of the earth's motion might now appear, so much the greater would be the admiration and goodwill after people had seen by the publications of my commentaries the mists of absurdities rolled away by the most lucid demonstrations. Brought to this hope, therefore, by these pleaders, I at last permitted my friends, as they had long besought me, to publish this work.
"But perhaps your Holiness will not be so shocked that I have dared to bring forth into the light these my lucubrations, having spent so much work in elaborating them, that I did not hesitate even to commit to a book my conclusions about the earth's motion, but that you will particularly wish to hear from me how it came into my mind to dare to imagine any motion of the earth, contrary to the accepted opinion of mathematicians and in like manner contrary to common sense. So I do not wish to conceal from your Holiness that nothing else moved me to consider some other explanation for the motions of the spheres of the universe than what I knew, namely that mathematicians did not agree among themselves in their examinations of these things. For in the first place, they are so completely undecided concerning the motion of the sun and of the moon that they could not observe and prove the constant length of the great year.[440] Next, in determining the motions of both these and the five other planets, they did not use the same principles and assumptions or even the same demonstrations of the appearances of revolutions and motions. For some used only homocentric circles; others, eccentrics and epicycles, which on being questioned about, they themselves did not fully comprehend. For those who put their trust in homocentrics, although they proved that other diverse motions could be derived from these, nevertheless they could by no means decide on any thing certain which in the least corresponded to the phenomena. But these who devised eccentrics, even though they seem for the most part to have represented apparent motions by a number [of eccentrics] suitable to them, yet in the meantime they have admitted quite a few which appear to contravene the first principles of equality of motion. Another notable thing, that there is a definite symmetry between the form of the universe and its parts, they could not devise or construct from these; but it is with them as if a man should take from different places, hands, feet, a head and other members, in the best way possible indeed, but in no way comparable to a single body, and in no respect corresponding to each other, so that a monster rather than a man would be constructed from them. Thus in the process of proof, which they call a system, they are found to have passed over some essential, or to have admitted some thing both strange and scarcely relevant. This would have been least likely to have happened to them if they had followed definite principles. For if the hypotheses they assumed were not fallacious, everything which followed out of them would have been verified beyond a doubt. However obscure may be what I now say, nevertheless in its own place it will be made more clear.
"When therefore I had long considered this uncertainty of traditional mathematics, it began to weary me that no more definite explanation of the movement of the world machine established in our behalf by the best and most systematic builder of all, existed among the philosophers who had studied so exactly in other respects the minutest details in regard to the sphere. Wherefore I took upon myself the task of re-reading the books of all the philosophers which I could obtain, to seek out whether any one had ever conjectured that the motions of the spheres of the universe were other than they supposed who taught mathematics in the schools. And I found first that, according to Cicero, Nicetas had thought the earth was moved. Then later I discovered according to Plutarch that certain others had held the same opinion; and in order that this passage may be available to all, I wish to write it down here:
"But while some say the earth stands still, Philolaus the Pythagorean held that it is moved about the element of fire in an oblique circle, after the same manner of motion that the sun and moon have. Heraclides of Pontus and Ecphantus the Pythagorean assign a motion to the earth, not progressive, but after the manner of a wheel being carried on its own axis. Thus the earth, they say, turns itself upon its own center from west to east."[441]
When from this, therefore, I had conceived its possibility I myself also began to meditate upon the mobility of the earth. And although the opinion seemed absurd, yet because I knew the liberty had been accorded to others before me of imagining whatsoever circles they pleased to explain the phenomena of the stars, I thought I also might readily be allowed to experiment whether, by supposing the earth to have some motion, stronger demonstrations than those of the others could be found as to the revolution of the celestial sphere.
Thus, supposing these motions which I attribute to the earth later on in this book, I found at length by much and long observation, that if the motions of the other planets were added to the rotation of the earth and calculated as for the revolution of that planet, not only the phenomena of the others followed from this, but also it so bound together both the order and magnitude of all the planets and the spheres and the heaven itself, that in no single part could one thing be altered without confusion among the other parts and in all the universe. Hence, for this reason, in the course of this work I have followed this system, so that in the first book I describe all the positions of the spheres together with the motions I attribute to the earth; thus this book contains a kind of general disposition of the universe. Then in the remaining books, I bring together the motions of the other planets and all the spheres with the mobility of the earth, so that it can thence be inferred to what extent the motions and appearances of the other planets and spheres can be solved by attributing motion to the earth. Nor do I doubt that skilled and scholarly mathematicians will agree with me if, what philosophy requires from the beginning, they will examine and judge, not casually but deeply, what I have gathered together in this book to prove these things. In order that learned and unlearned may alike see that in no way whatsoever I evade judgment, I prefer to dedicate these my lucubrations to your Holiness rather than to any one else; especially because even in this very remote corner of the earth in which I live, you are held so very eminent by reason of the dignity of your position and also for your love of all letters and of mathematics that, by your authority and your decision, you can easily suppress the malicious attacks of calumniators, even though proverbially there is no remedy against the attacks of sycophants.
[Enlarge]
A photographic facsimile (reduced) of a page from Mulier's edition (1617) as "corrected" according to the Monitum of the Congregations in 1620. The first writer merely underlined the passage with marginal comment that this was to be deleted by ecclesiastical order. The second writer scratched out the passage and referred to the second volume of Riccioli's Almagestum Novum for the text of the order. The earlier writer was probably the librarian of the Florentine convent from which this book came, and wrote this soon after 1620. The later writer did his work after 1651, when Riccioli's book was published. This copy of the De Revolutionibus is now in the Dartmouth College Library.
If perchance there should be foolish speakers who, together with those ignorant of all mathematics, will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash. For it is not unknown that Lactantius, the writer celebrated in other ways but very little in mathematics, spoke somewhat childishly of the shape of the earth when he derided those who declared the earth had the shape of a ball.[442] So it ought not to surprise students if such should laugh at us also. Mathematics is written for mathematicians to whom these our labors, if I am not mistaken, will appear to contribute something even to the ecclesiastical state the headship of which your Holiness now occupies. For it is not so long ago under Leo X when the question arose in the Lateran Council about correcting the Ecclesiastical Calendar. It was left unsettled then for this reason alone, that the length of the year and of the months and the movements of the sun and moon had not been satisfactorily determined. From that time on, I have turned my attention to the more accurate observation of these, at the suggestion of that most celebrated scholar, Father Paul, a bishop from Rome, who was the leader then in that matter. What, however, I may have achieved in this, I leave to the decision of your Holiness especially, and to all other learned mathematicians. And lest I seem to your Holiness to promise more about the value of this work than I can perform, I now pass on to the undertaking.
APPENDIX C.
The Drama of Universal Nature: in which are considered the efficient causes and the ends of all things, discussed in a connected series of five books, by Jean Bodin, (Frankfort, 1597).
Book V: On the Celestial Bodies: their number, movement, size, harmony and distances compared with themselves and with the earth. Sections 1 and 10 (in part) and 12 (entire).
Bodin, Jean: Universæ Naturæ Theatrum in quo rerum omnium effectrices causa et fines contemplantur, et continuæ series quinque libris discutiuntur. Frankfort, 1597. Book V translated into English by the writer and compared with the French translation by François de Fougerolles, (Lyons, 1597).
Section 1: On the definition and the number of the spheres.
Mystagogue: ... Now to prove that the heavens have a nature endowed with intelligence I need no other argument than that by which Theophrastus and Alexander prove they are living, for, they say, if the heavens did not have intelligence, they would be greatly inferior in dignity and excellence to men. That is why Aben-Ezra,[443] having interpreted the Hebrew of these two words of the Psalm: "The heavens declare," has written that the phrase Sapperim (declare) in the judgment of all Hebrews is appropriate to such great intelligence. Also he who said "When the morning stars sang together and shouted for joy,"[444] indicated a power endowed with intelligence, as did the Master of Wisdom[445] also when he said that God created the heavens with intelligence.
Theodore. I have learned in the schools that the spheres are not moved of themselves but that they have separate intelligences who incite them to movement.
Myst. That is the doctrine of Aristotle. But Theophrastus and Alexander,[446] (when they teach that the spheres are animated bodies) explain adequately that the spheres are agitated by their own coëssential soul. For if the sky were turned by an intelligence external to it, its movement would be accidental with the result that it, and the stars with it, would not be moved otherwise, than as a body without soul. But accidental motion is violent. And nothing violent in nature can be of long duration. On the contrary there is nothing of longer duration, nor more constant, than the movement of the heavens.
Theo. What do you call fixed stars?
Myst. Celestial beings who are gifted with intelligence and with light, and who are in continual motion. This is sufficiently indicated by the words of Daniel[447] when he wrote, that the souls of those who have walked justly in this life, and who have brought men back to the path of virtue, all have their seat and dwelling (like the gleaming stars) among the heavens. By these words one can plainly understand the essence and figure of the angels as well as of the celestial beings; for while other beings have their places in this universe assigned to them for their habitation, as the fish the sea, the cattle the fields, and the wild beasts the mountains and forests, even as Origen,[448] Eusebius, and Diodorus say, so the stars are assigned positions in the heavens. This can also be understood by the curtains of the tabernacle which Moses, the great Lawgiver, had ornamented with the images of cherubim showing that the heavens were indicated by the angelic faces of the stars. While St. Augustine,[449] Jerome,[450] Thomas Aquinas[451] and Scotus most fitly called this universe a being, nevertheless Albertus, Damascenus, and Thomas Aquinas deny that the heavenly bodies are animated. But Thomas Aquinas shows himself in this inconsistent and contradictory, for he confesses that spiritual substances are united with the heavenly bodies, which could not be unless they were united in the same hypostasis of an animated body. If this body is animated, it must necessarily be living and either rational or irrational. If, on the other hand, this spiritual substance does not make the same hypostasis with the celestial body, it will necessarily be that the movement of the sky is accidental, as coming from the mover outside to the thing moved, no more nor less than the movement of a wheel comes from the one who turns it: As this is absurd, what follows from it is necessarily absurd also.
Theo. How many spheres are there?
Myst. It is difficult to determine their number because of the variety of opinions among the authorities, each differing from the other, and because of the inadequacy of the proofs of such things. For Eudoxus has stated that the spheres with their deferents are not more than three and twenty in number. Calippus has put it at thirty, and Aristotle[452] at forty-seven, which Alexander Aphrodisiensis[453] has amended by adding to it two more on the advice of Sosigenes. Ptolemy holds that there are 31 celestial spheres not including the bodies of the planets. Johan Regiomontanus says 33, an opinion which is followed by nearly all, because in the time of Ptolemy they did not yet know that the eighth sphere and all the succeeding ones are carried around by the movement of the trepidation. Thus he held that the moon has five orbits, Mercury six, Venus, Mars, Jupiter, and Saturn each four, aside from the bodies of the planets themselves, for beyond these are still the spheres and deferents of the eighth and ninth spheres. But Copernicus, reviving Eudoxus' idea, held that the earth moved around the motionless sun; and he has also removed the epicycles with the result that he has greatly reduced their number, so that one can scarcely find eight spheres remaining.
Theo. What should one do with such a variety of opinions?
Myst. Have recourse to the sacred fountain of the Hebrews to search out the mysteries of a thing so deeply hidden from man; for from them we may obtain an absolutely certain decision. The Tabernacle which the great Lawgiver Moses ordered to be made[454] was like the Archetype of the universe, with its ten curtains placed around it each decorated with the figures of cherubim thus representing the ten heavens with the beauty of their resplendent stars. And even though Aben-Ezra did not know of the movement of trepidation, nevertheless he interpreted this passage, "The heavens are the work of Thy fingers" as indicating the number of the ten celestial spheres. The Pythagoreans seem also to have agreed upon the same number since, besides the earth and the eight heavens, they imagine a sphere Anticthon because they did not then clearly understand the celestial movements. They thought however, all should be embraced in the tenth.
Theo. The authority of such writers has indeed so great weight with me that I place their statements far in advance of the arguments of all others. Nevertheless if it can be done, I should wish to have this illustrated and confirmed by argument in order to satisfy those who believe nothing except on absolute proof.
Myst. It can indeed be proved that there are ten mobile spheres in which the fiery bodies accomplish their regular courses. Yet by these arguments that ultimate, motionless sphere which embraces and encircles all from our terrestial abode to its circumference within its crystalline self, encompassing plainly the utmost shores and limits of the universe, cannot be proved. For as it has been shown before [in Book I] the elemental world was inundated by celestial waters from above. Nor can it apparently be included in the number of the spheres since (as we will point out later) as great a distance exists between it and the nearest sphere as between the ocean and the starry heaven. Furthermore it has been said before that the essence of the spheres consists of fire and water which is not fitting for the celestial waters above.
Theo. By what arguments then can it be proved there are ten spheres?
Myst. The ancients knew well that there were the seven spheres of the planets, and an eighth sphere of the fixed stars which, down to the time of Eudoxus and Meto, they thought had but one simple movement. These men were the first who perceived by observation that the fixed stars were carried backward quite contrary to the movement of the Primum Mobile. After them came Timochares, Hipparchus, and Menelaus, and later Ptolemy, who confirmed these observations perceiving that the fixed stars (which people had hitherto thought were fixed in their places) had been separated from their station. For this reason they thought best to add a ninth sphere to the eight inferior ones. Much later an Arabian and a Spanish king, Mensor and Alphonse, great students of the celestial sciences, in their observations noticed that the eighth sphere with the seven following moved in turning from the north to the east, then towards the south, and so to the west, finally returning to the north, and that such a movement was completed in 7000 years. This Johannus Regiomontanus, a Franconian, has proved, with a skill hitherto equalled only by that of those who proved the ninth sphere, which travels from west to east. From this it is necessarily concluded that there are ten spheres.
Theo. Why so?
Myst. Because every natural body[455] has but one movement which is its own by nature; all others are either voluntary or through violence, contrary to the nature of a mobile object; for just as a stone cannot of its own impulse ascend and descend, so one and the same sphere cannot of itself turn from the east to the west and from the west to the east and still less from the north to the south and south to north.
Theo. What then?
Myst. It follows from this that the extremely rapid movement by which all the spheres are revolved in twenty-four hours, belongs to the Primum Mobile, which we call the tenth sphere, and which carries with it all the nine lesser spheres; that the second or planetary movement, that is, from west to east, is communicated to the lesser spheres and belongs to the ninth sphere; that the third movement, resembling a person staggering, belongs to the eighth sphere with which it affects the other lesser spheres and makes them stagger in a measure outside of the poles, axes and centres of the greater spheres.
Section 10: On the position of the universe according to its divisions.
* * * *
Theo. Does it not also concern Physics to discuss those things that lie outside the universe?
Myst. If there were any natural body beyond the heavens, most assuredly it would concern Physics, that is, the observer and student of nature. But in the book of Origins,[456] the Master workman is said to have separated the waters and placed the firmament in between them. The Hebrew philosophers declare that the crystalline sphere which Ezekiel[457] called the great crystal and upon which he saw God seated, as he wrote, is as far beyond the farthermost heaven as our ocean is far from that heaven, and that this orb is motionless and therefore is called God's throne. For "seat" implies quiet and tranquility which could be proper for none other than the one immobile and immutable God. This is far more probable and likely than Aristotle's absurd idea, unworthy the name of a philosopher, by which he placed the eternal God in a moving heaven as if He were its source of motion and in such fashion that He was constrained of necessity to move it. We have already refuted this idea. It has also been shown that these celestial waters full of fertility and productiveness sometimes are spread abroad more widely and sometimes less so, as though obviously restrained, whence the heavens are said to be closed[458] and roofed[459] with clouds or that floods burst forth out of the heaven to inundate the earth. Finally we read in the Holy Scriptures that the eternal God is seated upon the flood.
Theo. Why then are not eleven spheres counted?
Myst. Because the crystalline sphere is said to have been separated from the inferior waters by the firmament, and it therefore cannot be called a heaven. Furthermore motion is proper to all the heavens, but the crystalline one is stationary. That is why Rabi Akiba called[460] it a marble counterpart of the universe. This also is signified in the construction of the altar which was covered with a pavilion in addition to its ten curtains for, as it is stated elsewhere,[461] God covers the heavens with clouds, and the Scriptures often make mention of the waters beyond the heavens.[462] There are those, however, who teach that the Hebrew word Scamajim may be applied only to a dual number, so that they take it to mean the crystalline sphere and the starry one. But I think those words in Solomon's speech[463] "the heaven of heaven, and the heavens of the heavens" refer in the singular to the crystalline sphere, in the plural to the ten lesser spheres.
Theo. It does not seem so marvelous to me that an aqueous or crystalline sphere exists beyond the ten spheres, as that it is as far beyond the furthermost sphere as the ocean is far this side of it, that is, as astrologists teach, 1040 terrestrial diameters.
Myst. It is written most plainly that the firmament holds the middle place between the two waters. Therefore God is called[464] in Hebrew Helion, the Sun, that is, the Most High, and under His feet the heaven is spread like a crystal,[465] although He is neither excluded nor included in any part of the universe, it is however consistent with His Majesty to be above all the spheres and to fill heaven and earth with His infinite power as Isaiah[466] indicated when he writes: "His train filled the temple;" it is the purest and simplest act, the others are brought about by forces and powers. He alone is incorporeal, others are corporeal or joined to bodies. He alone is eternal, others according to their nature are transitory and fleeting unless they are strengthened by the Creator's might; wherefore the Chaldean interpreter is seen everywhere to have used the words, Majesty, Glory or Power in place of the presence of God.
Theo. Nevertheless so vast and limitless a space must be filled with air or fire, since there are no spheres there, nor will nature suffer any vacuum.
Myst. If then the firmament occupies the middle position between the two waters, then by this hypothesis you must admit that the space beyond the spheres is empty of elemental and celestial bodies; otherwise you would have to admit that the last sphere extends on even to the crystalline orb, which can in no way be reconciled with the Holy Scriptures and still less with reason because of the incredible velocity of this sphere. Therefore it is far more probable that this space is filled with angels.
Theo. Is there some medium between God and the angels which shares in the nature of both?
Myst. What is incorporeal and indivisible cannot communicate any part of its essence to another; for if a creature had any part of the divine essence, it would be all God, since God neither has parts nor can be divided, therefore He must be separated from all corporeal contact or intermixture.
Section 12: On guardian angels.
Theo. What then in corporeal nature is closest to God?
Myst. The two Seraphim, who stand near the eternal Creator,[467] and who are said to have six wings, two wherewith to fly, the others to cover head and feet. By this is signified the admirable swiftness with which they fulfill His commands, yet head and feet are veiled for so the purpose of their origin and its earliest beginning are not known to us. Also they have eyes scattered in all parts of their bodies to indicate that nothing is hidden from them. And they also pour oil for lighting through a funnel into the seven-branched candlestick; that is, strength and power are poured forth by the Creator to the seven planets, so that we should turn from created things to the worship and love of the Creator.
Theo. Since nothing is more fitting for the Divine goodness than to create, to generate, and to pile up good things for all, whence comes the destruction of the world and the ruin of all created things?
Myst. It is true Plato and Aristotle attributed the cause of all ills to the imperfection of matter in which they thought was some kakopoion,[468] but that is absurd since it is distinctly written: All that God had made was good, or as the Hebrews express it, beautiful,—so evil is nothing-else than the absence[469] or privation of good.
Theo. Can not wicked angels be defined without privation since they are corporeal essences?
Myst. Anything that exists is said to be good and to be a participant by its existence in the divine goodness; and even as in a well regulated Republic, executioners, lictors, and corpse-bearers are no less necessary than magistrates, judges and overseers; so in the Republic of this world, for the generation, management and guardianship of things God has gathered together angels as leaders and directors for all the celestial places, for the elements, for living beings, for plants, for minerals, for states, provinces, families and individuals. And not only has He done this, but He has also assigned His servants, lictors, avengers and others to places where they may do nothing without His order, nor inflict any punishment upon wicked men unless the affair has been known fully and so decided. Thus God is said[470] to have made Leviathan, which is the outflow of Himself, that is, the natural rise and fall of all things. "I have created a killer,"[471] He said, "to destroy," and so also Behemoth, and the demons cleaving to him, which are often called ravens, eagles and lions, and which are said to beg their food of God, that is, the taking of vengeance upon the wicked whose punishment and death they feed upon as upon ordinary fare. From these, therefore, or rather from ourselves, come death, pestilence, famine, war and those things we call ills, and not from the Author of all good things except by accident. For so God says of Himself:[472] "I am the God making good and creating evil, making light and creating darkness." For when He withdraws His spirit, evil follows the good; when He takes the light away, darkness is created; as when one removes the pillars of a building, the ruin of a house follows. If He takes the vital spark away, death follows; nor can He be said to do evil[473] to anyone in taking back what is His own.
Theo. When the Legislator asked Him to disclose His face to his gaze, why did the Architect of the universe and the Author of all things reply: "My face is to be seen by no mortal man, but only my back?"
Myst. This fine allegory signifies that God cannot be known from superior or antecedent causes but from behind His back, that is, from results, for a little later He adds, "I will cover thine eyes with My hand." Thus the hand signifies those works which He has placed before anyone's eyes, and it indicates that He places man not in an obscure corner but in the center of the universe so that He might better and more easily than in heaven contemplate the universe and all His works through the sight of which, as through spectacles, the Sun, that is, God Himself, may be disclosed. And therefore we undertook this disputation concerning nature and natural things, so that even if they are but slightly explained, nevertheless we may attain from this disquisition an imperfect knowledge of the Creator and may break forth in His praises with all our might, that at length by degrees we may be borne on high and be blessed by the Divine reward; for this is indeed the supreme and final good for a man.
Here endeth the Drama of Nature which Jean Bodin wrote while all France was aflame with civil war.
Finis
APPENDIX D.
A Translation of a Letter by Thomas Feyens
On the Question: Is It True That the Heavens Are Moved and the Earth
Is at Rest? (February, 1619)
(Thomæ Fieni Epistolica Quæstio: An verum sit, cœlum moveri et terram quiescere? Londini, 1655.)
To the eminent and noble scholars, Tobias Matthias and George Gays:
IT is proved that the heavens are moved and the earth is stationary: First; by authority; for besides the fact that this is asserted by Aristotle and Ptolemy whom wellnigh all Philosophers and Mathematicians have followed by unanimous consent, except for Copernicus, Bernardus Patricius[474] and a very few others, the Holy Scriptures plainly attest it in at least two places which I have seen. In Joshua,[475] are the words: Steteruntque sol et luna donec ulcisceretur gens de inimicis suis. And a little further on: Stetit itaque sol in medio cœli, et non festinavit occumbere spatio unius diei, et non fuit antea et postea tam longa dies. The Scriptures obviously refer by these words to the motion of the primum mobile by which the sun and the moon are borne along in their diurnal course and the day is defined; and it indicates that the heavens are moved as well as the primum mobile. Then Ecclesiastes, chapter 1,[476] reads: Generatio præterit, et generatio advenit, terra autem semper stat, oritur sol et occidit, et ad locum suum revertitur.
Secondly, it is proved by reason. All the heavens and stars were made in man's behalf and, with other terrestrial bodies, are the servants of man to warm, light, and vivify him.
This they could not do unless in moving they applied themselves by turns to different parts of the world. And it is more likely that they would apply themselves by their own movement to man and the place in which man lives, than that man should come to them by the movement of his own seat or habitation. For they are the servants of man; man is not their servant; therefore it is more probable that the heavens are moved and the earth is at rest than that the reverse is true.
Thirdly; no probable argument can be thought out from philosophy to prove that the earth is moved and the heavens are at rest. Nor can it be done by mathematics. By saying that the heavens are moved and the earth is at rest, all phenomena of the heavenly bodies can be solved. Just as in the same way in optics all can be solved by saying either that sight comes from the thing to the eye, or that rays go from the eye to the thing seen; so is it in astronomy. Therefore one ought rather to abide in the ancient and general opinion than in one received recently without justification.
Fourthly; the earth is the center of the universe; all the heavenly bodies are observed to be moved around it; therefore it itself ought to be motionless, for anything that moves, it seems, should move around or above something that is motionless.
Fifthly; if the earth is moved in a circle, either it moves that way naturally or by force, either by its own nature or by the nature of another. It is not by its own nature, for straight motion from above downward is natural to it; therefore circular motion could not be natural to it. Further, the earth is a simple body; and a simple body can not have two natural motions of distinct kinds or classes. Nor is it moved by another body; for by what is it moved? One has to say it is moved either by the sun or by some other celestial body; and this cannot be said, since either the sun or that body is said to be at rest or in motion. If it is said to be at rest, then it cannot impart movement to another. If it is said to be in motion, then it can not move the earth, because it ought to move either by a motion similar to its own or the opposite of it. It is not similar, since thus it would be observed to move neutrally as when two boats moving in the same direction, appear not to move but to be at rest. It is not the opposite motion, since nothing could give motion contrary to its own. And because Galileo seems to say, in so far as I have learned from your lordships, that the earth was moved by the sun; I prove anyway that this is not true since the movement of the sun and of the earth ought to be from contrary and distinct poles. The sun, however, can not be the cause of the other's movement because it is moved above different poles. Lastly, the earth follows the motion of no other celestial body; since if it is moved, it moves in 24 hours, and all the other celestial bodies require the space of many days, months and years. Ergo. Finally, if the earth is moved by another, its motion would be violent; but this is absurd, for no violence can be regular and perpetual.
Sixthly; even so it is declared that the earth is moved. Nevertheless, it must be admitted to this that either the planets themselves or their spheres are moved, for in no other way can the diversities of aspects among themselves be solved; nor can a reason be given why the sun does not leave the Ecliptic and the moon does; and how a planet can be stationary or retrograde, high or low,—and many other phenomena. For this reason those who said the earth moved, as Bernardus Patricius and the others said, claimed that the primum mobile, forsooth, was stationary and that the earth was moved in its place; yet they could not in the least deny that the planets themselves were moved, but admitted it. That is the reason why both ancient and modern mathematicians, aside from the motion of the primum mobile, were forced to admit and consider the peculiar movements of the planets themselves. If therefore it must be acknowledged, and it is certain, that the stars and the celestial bodies are moved; then it is more probable that all movement perceived in the universe belongs rather to the heavenly bodies than to the earth. For if movement were ascribed to all the rest, why for that same reason is not diurnal rotation ascribed rather to the primum mobile than to the earth, particularly when our senses seem to decide thus? Although one may well be mistaken, sometimes, concerning other similar movements; yet it is not probable that all ages could be at fault, or should be, about the movements of its most important objects, of course the celestial luminaries.
Seventhly; it is proved by experience. For if the earth is moved, then an arrow shot straight up on high could never fall back to the place whence it was shot, but should fall somewhere many miles away. But this is not so. Ergo.
This can be answered and is so customarily in this way: this does not follow because the air is swept along with the earth, and so, since the air which carries the arrow is turning in the same way with the earth, the arrow also is borne along equally with it, and thus returns to the same spot. This in truth is a pure evasion and a worthless answer for many reasons.
It is falsely observed that the air is moved and by the same motion as the earth. For what should move the earth? Truly, if the air is moved by the same motion as the earth, either it ought to be moved by the earth itself, or by that other which moves the earth, or by itself. It is not moved by itself; since it has another motion, the straight one of course natural to itself, and also since it has a nature, an essence and qualities all different from the nature and the essence of the earth; therefore it could not by its own nature have the same motion as that other, but of necessity ought to have a different one.
Nor is it moved by any other that may move the earth; as that which moves the earth could not at the same time and with like motion move the air. For since the air is different from the earth in essence, in both active and passive qualities, and in kind of substance, it can not receive the impelling force of the acting body, or that force applied in the same way as the earth, and so could not be moved in the same way. The virtues [of bodies] acting and of moving diversely are received by the recipients according to the diversity of their dispositions. Also it can not be moved by the earth; since if it were moved by the earth, it must be said to be moved by force, but such motion appears to be impossible. Ergo. The minor premise is proved: for if air is thus moved by the earth by force the air ought to be moved more rapidly than the earth, because air is larger [than the earth].
For what is outside is larger than what is inside. When, however, what is larger and what is outside is driven around equally rapidly with what is less, and what is inside, then the former is moved much more rapidly. Thus it is true that the sphere of Saturn in its daily course is moved far faster than the sphere of the moon. But it is impossible that the one driven should move more rapidly than the one driving; therefore the air is not moved by the earth's violence. Thus would it be if the air were moved with the earth, or by itself, or by force. Thus far, then, the force of the original argument remains; since of its own motion, indeed, it could not be in every way conformable to the motion of the earth as I have shown; and this because the air differs from the earth in consistency of substance, in qualities and in essence. But the air ought at all events to move more sluggishly than the earth. It follows from this that an arrow shot straight up could not return to its starting point; for the earth, moving like the air, on account of the other's slower rate leaves it behind, and the arrow also which is carried away from it.
Besides, if the air does not move so rapidly as the earth, a man living in a very high tower, however quiet the air, ought then always to feel the strongest wind and the greatest disturbance of the air.
Since mountains and towers are moved with the earth, and the air would not be accompanying them at an equal speed, it would necessarily follow that they would precede the air by cleaving and cutting and ploughing through it which ought to make a great wind perceptible.
Eighthly; if a person stood in some very high tower or other high place and aimed from that tower at some spot of earth perpendicularly below his eye, and allowed a very heavy stone to fall following that perpendicular line, it is absolutely certain that that stone would land upon the spot aimed at perpendicularly underneath. But if the earth is moved, it would be impossible for the stone to strike that spot.
This I prove first: because either the air moves at an unequal rate with the earth; or it moves equally rapidly. If not equally, then it is certain the stone could not land at that spot, since the earth's movement would outstrip the stone borne by the air. If equally rapidly, then again the stone could not land at that spot, since although the air was moving in itself at an equal speed, yet on that account it could not carry the stone thus rapidly with itself and carrying it downward falling by its own weight, for the stone tending by gravity towards the center resists the carrying of the air.
You will say: if the earth is moved in a circle, so are all its parts; wherefore that stone in falling not only moves in a circle by the carrying of the air, but also in a circle because of its own nature as being part of the earth and having the same motion with it.
Verily this answer is worthless. For although the stone is turned in a circle by its own nature like the earth, yet its own natural gravity impeded it so that it is borne along that much the less swiftly, unlike the air or the earth, both of which are in their natural places and which in consequence have no gravity as a stone falling from on high has.
Lastly; because although the stone is moved in the world by its own nature like the whole earth, yet it is not borne along as swiftly as the whole earth. For as one stone by its own weight falls from the heaven following its own direct motion straight to the center just as a part of the earth, so also the whole earth itself would fall; and yet it would not fall so swiftly as the whole earth, for although the stone would be borne along in its sphere like the whole earth just as a part of it, yet it would not be borne along as swiftly as the whole earth; and so, in whatever way it is said, the motion of the earth ought always to outstrip the stone and leave it a long distance behind. Thus a stone could never fall at the point selected or a point perpendicularly beneath it. This is false. Ergo.
Ninthly: If the earth is moved in a circular orbit, it ought to pass from the west through the meridian to the east; consequently the air ought to move by the same path. But if this were so, then if an archer shot toward the east, his arrow ought to fly much farther than if he shot toward the west. For when he shot toward the east, the arrow would fly with the natural movement of the air and would have that supporting it. But when he shot toward the west, he would have the motion of the air against him and then the arrow would struggle against it. But it is certain the arrow ought to go much farther and faster when the movement of the air is favorable to it then when against it, as is obvious in darts sent out with a favoring wind. Ergo.
Similarly not a few other arguments can be worked out, but there are none as valuable for proof as the foregoing ones. Though these were written by me with a flying pen far from books and sick in bed with a broken leg, yet they seem to me to have so much value that I do not see any way by which they could rightly be refuted. These I have written for your gracious lordships in gratitude for your goodwill on the occasion of our conversation at your dinner four days ago; and I ask for them that you meditate on them justly and well.
BIBLIOGRAPHY
(of references cited.)
I
General Works.
Addis and Arnold: Catholic Dictionary, 2nd edit. London, 1884.
Bailly: Histoire de l'Astronomie Moderne depuis la Fondation de l'Ecole d'Alexandrie, jusqu' a l'Epoque de 1730. 3 vol. Paris, 1785.
Berry, Arthur: Short History of Astronomy. New York, 1912.
Cajori, Florian: The Teaching and History of Mathematics in the United States. Washington, 1890. (Bureau of Education, No. 3.)
Delambre, J.B.J.: Histoire de l'Astronomie Ancienne. Paris, 1817.
——: Histoire de l'Astronomie du Moyen Age. Paris, 1819.
——: Histoire de l'Astronomie Moderne. Paris, 1821.
De Morgan, Augustus: A Book of Paradoxes. 2 vol. 2nd edit. ed. by David Eugene Smith. Chicago, 1915.
Di Bruno, Joseph Faà: Catholic Belief, or a short and simple exposition of Catholic Doctrine. Author's American edit. 375th thousand. New York, [1912.]
Jacoby, Harold: Astronomy, a Popular Handbook. New York, 1913.
Janssen, J.: History of the German People at the Close of the Middle Ages. Trans. by Mitchell and Christie. 2 vol. St. Louis, no date.
Lecky, Wm. E. Hartpole: History of England in the 18th Century. 8 vol. New edit. New York, 1892.
Libri, C.: Histoire des Sciences Mathématiques en Italie depuis la Renaissance des Lettres. 2me édit. 4 vol. Halle, 1865.
Milman, Henry H.: History of Latin Christianity. 8 vol. in 4. New York, 1899.
Owen, John: The Skeptics of the Italian Renaissance. 2nd edit. New York, 1893.
Peignot, G.: Dictionnaire Critique Littéraire et Bibliographique des Principaux Livres Condamnés au Feu, Supprimés on Censurés. 2 vol. Paris, 1806.
Putnam, George Haven: The Censorship of the Church of Rome. 2 vol. New York, 1907.
Rashdall, Hastings: Universities of Europe in the Middle Ages. 2 vol. Oxford, 1895.
Smith, David Eugene: Rara Arithmetica. Boston, 1908.
Snyder, Carl: The World Machine: The Cosmic Mechanism. London, 1907.
Stephen, Leslie: History of English Thought in the 18th Century. 2 vol. 3rd edit. New York, 1902.
Taylor, Henry Osborne: The Mediæval Mind. 2nd edit. London, 1914.
Walsh, J.J.: Catholic Churchmen in Science. 2nd series. Philadelphia, 1909.
——: The Popes and Science. Knights of Columbus edit. New York, 1911.
Wegg-Prosser, F.R.: Galileo and his Judges. London. 1889.
Whewell, William: History of the Inductive Sciences from the Earliest to the Present Time. New edit. revised. 3 vol. London, 1847.
White, Andrew D.: History of the Welfare of Science with Theology in Christendom. 2 vol. New York, 1898.
Windle, B.C.A.: A Century of Scientific Thought and Other Essays. London, 1915.
Young, Charles: Manual of Astronomy. Boston, 1902.
II
Special Works.
Allaben, Frank: John Watts de Peyster. 2 vol. New York, 1908.
——: see De Peyster.
Anon: Galileo—The Roman Inquisition: A Defence of the Catholic Church from the Charge of having persecuted Galileo for his philosophical opinions. Reprinted from the Dublin Review with an introduction by an "American Catholic." Cincinnati, 1844.
Baudrillart, Henri: Jean Bodin et son Temps: Tableau des Théories Politiques et des Idées Economiques au 16me siècle. Paris, 1853.
Bartholmèss, Christian: Jordano Bruno. 2 vol. Paris, 1846.
Berti, Domenico: Vita di Giordano Bruno da Nola. Turin, 1868.
Bertrand, M.J.: Copernic et ses Travaux (Fév. 1864) in Mémoires sur les Mathématiques.
——: Le Procès de Galilée (Oct. 1877), in Eloges Académiques, nouvelle série. Paris, 1902.
——: Notice sur la Vie et les Travaux de Kepler. (Dec. 1863) in Mémoires de l'Académie des Sciences, XXXV. Paris, 1866.
Betten, Francis S. (S.J.): The Roman Index of Forbidden Books briefly explained for Catholic Booklovers and Students. 4th edit. enlarged. St. Louis, 1915.
Beyersdorf, Robert: Giordano Bruno und Shakespeare. Leipsic, 1889.
Blavatsky, H.P.: The Secret Doctrine. 2 vol. Point Loma, Cal., 1909.
Brewster, David: Martyrs of Science: Lives of Galileo, Tycho Brahe and Kepler. London, 1874.
Bridges, J.H.: Tycho Brahe, in Contemp. Rev.: 81: 196-213 (Feb. 1902).
Brinton, Daniel G. and Davidson, Thomas: Giordano Bruno, Philosopher and Martyr. Philadelphia, 1890.
Burckhardt, F.: Zur Erinnerungaan Tycho Brahe. Vortrag 23, Oct. 1901, in den Naturforschen der Gesellschaft in Basel. Vol. 13, Basel, 1901.
Chasles, Philarète: Galilei, sa vie, son procès et ses contemporains. Paris, 1862.
Conway, Bertrand L. (C.S.P.): The Condemnation of Galileo. Pamphlet. New York, 1913.
Cumont, Franz: Astrology and Religion among the Greeks and Romans. New York, 1912.
Davidson: see Brinton.
De l'Epinois, Henri: Galilée, son procès, sa condemnation, d'après des documents inédits, in Revue des Quest. Hist., III, 68-145. Paris, 1867.
Desdouits, Théophile: La Légende Tragique de Jordano Bruno. Paris, 1885.
Dreyer, J.L.E.: Tycho Brahe: A Picture of Scientific Life and Work in the 16th Century. Edinburgh, 1890.
Eastman, Charles R.: Earliest Predecessors of Copernicus, in Pop. Sci. LVIII: 323-327 (April, 1906).
Fahie, J.J.: Galileo, his Life and Work. London, 1903.
Flammarion, Camille: Vie de Copernic et Histoire de la Découverte du Système du Monde. Paris, 1872.
Frisch: Vita Joannis Kepler in Opera Omnia Kepleri. VIII, 668-1028.
Frith, I.: Life of Giordano Bruno the Nolan. London, 1887.
Graux, Charles: L'Université de Salamanque in Notices Bibliographiques. Paris, 1884.
Haldane, Elizabeth S.: Descartes, his Life and Times. London, 1905.
Heath, Thomas L.: Aristarchus of Samos, the Ancient Copernicus. Oxford, 1913.
Holden, E.S.: Copernicus in Pop. Sci. LXV: 109-131 (June, 1904.)
La Fuente, (Vicente de): Historia de las Universidades ... de España. 2 vol. 1884.
Martin, Henri T.: Galilée, les Droits de la Science et la Méthode des Sciences Physiques. Paris, 1868.
McIntyre, J. Lewis: Giordano Bruno. London, 1903.
Monchamp, Georges: Galilée et la Belgique, Essai Historique sur les Vicissitudes du Système du Copernic en Belgique. Saint-Trond, 1892.
Parchappe, Max: Galilée, sa Vie, ses Découvertes et ses Travaux. Paris, 1866.
Prowe, Leopold: Nicolaus Coppernicus, 3 vol.: I and II, Biography, 1883; III, Sources, 1884. Berlin.
R——: Beitrage zur Beantwortung der Frage nach der Nationalität des Nicolaus Copernicus. Pamphlet. Breslau, 1872.
Reusch, F.H.: Der Process Galilei's und Die Jesuiten. Bonn, 1879.
Robinson, James Howard: The Great Comet of 1680: A Study in the History of Rationalism. Northfield, Minn., 1916.
Schiaparelli, G.V.: Die Vorlaufer des Copernicus im Alterthum, trans. by M. Curtze. Leipsic, 1876.
——: Studj Cosmologici: Opinioni e Ricerche degli Antichi sulle Distance e sulle Grandezze dei Corpi Celesti. Pamphlet. 1865.
Schwilgué, Charles: Description Abregée de l'Horloge Astronomique de la Cathédrale de Strasbourg, 6me édit. Strasbourg, 1856.
Shields, Charles W.: The Final Philosophy. New York, 1877.
Small, Robert: Account of the Astronomical Discoveries of Kepler,—including an historical review of the Systems which had successively prevailed before his time. London, 1804.
Thayer, William Roscoe: Throne-Makers. New York, 1899. Pp. 252-308: Giordano Bruno: his Trial, Opinions and Death.
Walsh, J.J.: An Early Allusion to Accurate Methods in Diagnosis. Pamphlet. 1909.
Warren, William F.: The Earliest Cosmologies. New York, 1909.
Vaughan, Roger Bede: Life and Labours of S. Thomas of Aquin. 2 vol. London, 1871.
Von Gebler, Karl: Galileo Galilei and the Roman Curia, trans. by Mrs. Sturge. London, 1879.
Ziegler, Alexander: Regiomontanus, ein geistiger Vorlaufer des Columbus. Dresden. 1874.