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heory of the earth's motion。 This was Tycho Brahe; one of the greatest observing astronomers of any age。 Tycho Brahe was a Dane; born at Knudstrup in the year 1546。 He died in 1601 at Prague; in Bohemia。 During a considerable portion of his life he found a patron in Frederick; King of Denmark; who assisted him to build a splendid observatory on the Island of Huene。 On the death of his patron Tycho moved to Germany; where; as good luck would have it; he came in contact with the youthful Kepler; and thus; no doubt; was instrumental in stimulating the ambitions of one who in later years was to be known as a far greater theorist than himself。 As has been said; Tycho rejected the Copernican theory of the earth's motion。 It should be added; however; that he accepted that part of the Copernican theory which makes the sun the centre of all the planetary motions; the earth being excepted。 He thus developed a system of his own; which was in some sort a compromise between the Ptolemaic and the Copernican systems。 As Tycho conceived it; the sun revolves about the earth; carrying with it the planets…Mercury; Venus; Mars; Jupiter; and Saturn; which planets have the sun and not the earth as the centre of their orbits。 This cosmical scheme; it should be added; may be made to explain the observed motions of the heavenly bodies; but it involves a much more complex mechanism than is postulated by the Copernican theory。 Various explanations have been offered of the conservatism which held the great Danish astronomer back from full acceptance of the relatively simple and; as we now know; correct Copernican doctrine。 From our latter…day point of view; it seems so much more natural to accept than to reject the Copernican system; that we find it difficult to put ourselves in the place of a sixteenth…century observer。 Yet if we recall that the traditional view; having warrant of acceptance by nearly all thinkers of every age; recorded the earth as a fixed; immovable body; we shall see that our surprise should be excited rather by the thinker who can break away from this view than by the one who still tends to cling to it。 Moreover; it is useless to attempt to disguise the fact that something more than a mere vague tradition was supposed to support the idea of the earth's overshadowing importance in the cosmical scheme。 The sixteenth…century mind was overmastered by the tenets of ecclesiasticism; and it was a dangerous heresy to doubt that the Hebrew writings; upon which ecclesiasticism based its claim; contained the last word regarding matters of science。 But the writers of the Hebrew text had been under the influence of that Babylonian conception of the universe which accepted the earth as unqualifiedly centralwhich; indeed; had never so much as conceived a contradictory hypothesis; and so the Western world; which had come to accept these writings as actually supernatural in origin; lay under the spell of Oriental ideas of a pre…scientific era。 In our own day; no one speaking with authority thinks of these Hebrew writings as having any scientific weight whatever。 Their interest in this regard is purely antiquarian; hence from our changed point of view it seems scarcely credible that Tycho Brahe can have been in earnest when he quotes the Hebrew traditions as proof that the sun revolves about the earth。 Yet we shall see that for almost three centuries after the time of Tycho; these same dreamings continued to be cited in opposition to those scientific advances which new observations made necessary; and this notwithstanding the fact that the Oriental phrasing is; for the most part; poetically ambiguous and susceptible of shifting interpretations; as the criticism of successive generations has amply testified。 As we have said; Tycho Brahe; great observer as he was; could not shake himself free from the Oriental incubus。 He began his objections; then; to the Copernican system by quoting the adverse testimony of a Hebrew prophet who lived more than a thousand years B。C。 All of this shows sufficiently that Tycho Brahe was not a great theorist。 He was essentially an observer; but in this regard he won a secure place in the very first rank。 Indeed; he was easily the greatest observing astronomer since Hipparchus; between whom and himself there were many points of resemblance。 Hipparchus; it will be recalled; rejected the Aristarchian conception of the universe just as Tycho rejected the conception of Copernicus。 But if Tycho propounded no great generalizations; the list of specific advances due to him is a long one; and some of these were to prove important aids in the hands of later workers to the secure demonstration of the Copernican idea。 One of his most important series of studies had to do with comets。 Regarding these bodies there had been the greatest uncertainty in the minds of astronomers。 The greatest variety of opinions regarding them prevailed; they were thought on the one hand to be divine messengers; and on the other to be merely igneous phenomena of the earth's atmosphere。 Tycho Brahe declared that a comet which he observed in the year 1577 had no parallax; proving its extreme distance。 The observed course of the comet intersected the planetary orbits; which fact gave a quietus to the long…mooted question as to whether the Ptolemaic spheres were transparent solids or merely imaginary; since the comet was seen to intersect these alleged spheres; it was obvious that they could not be the solid substance that they were commonly imagined to be; and this fact in itself went far towards discrediting the Ptolemaic system。 It should be recalled; however; that this supposition of tangible spheres for the various planetary and stellar orbits was a mediaeval interpretation of Ptolemy's theory rather than an interpretation of Ptolemy himself; there being nothing to show that the Alexandrian astronomer regarded his cycles and epicycles as other than theoretical。 An interesting practical discovery made by Tycho was his method of determining the latitude of a place by means of two observations made at an interval of twelve hours。 Hitherto it had been necessary to observe the sun's angle on the equinoctial days; a period of six months being therefore required。 Tycho measured the angle of elevation of some star situated near the pole; when on the meridian; and then; twelve hours later; measured the angle of elevation of the same star when it again came to the meridian at the opposite point of its apparent circle about the polestar。 Half the sum of these angles gives the latitude of the place of observation。 As illustrating the accuracy of Tycho's observations; it may be noted that he rediscovered a third inequality of the moon's motion at its variation; he; in common with other European astronomers; being then quite unaware that this inequality had been observed by an Arabian astronomer。 Tycho proved also that the angle of inclination of the moon's orbit to the ecliptic is subject to slight variation。 The very brilliant new star which shone forth suddenly in the constellation of Cassiopeia in the year 1572; was made the object of special studies by Tycho; who proved that the star had no sensible parallax and consequently was far beyond the planetary regions。 The appearance of a new star was a phenomenon not unknown to the ancients; since Pliny records that Hipparchus was led by such an appearance to make his catalogue of the fixed stars。 But the phenomenon is sufficiently uncommon to attract unusual attention。 A similar phenomenon occurred in the year 1604; when the new starin this case appearing in the constellation of Serpentariuswas explained by Kepler as probably proceeding from a vast combustion。 This explanationin which Kepler is said to have followed。 Tychois fully in accord with the most recent theories on the subject; as we shall see in due course。 It is surprising to hear Tycho credited with so startling a theory; but; on the other hand; such an explanation is precisely what should be expected from the other astronomer named。 For Johann Kepler; or; as he was originally named; Johann von Kappel; was one of the most speculative astronomers of any age。 He was forever theorizing; but such was the peculiar quality of his mind that his theories never satisfied him

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