Galilei, Galileo
,
The systems of the world
,
1661
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diſtances, the mutations, or if you pleaſe corrections, of a
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ry few minutes, removeth the ſtar a very great way farther off.
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<
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>As for example, in the firſt of theſe workings, where the
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lation made the ſtar 60. ſemidiameters remote from the centre,
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with the Parallax of 2. minutes; he that would maintain that it
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was in the Firmament, is to correct in the obſervations but onely
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two minutes, nay leſſe, for then the Parallax ceaſeth, or
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commeth ſo ſmall, that it removeth the ſtar to an immenſe
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ſtance, which by all is received to be the Firmament. </
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<
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>In the
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cond indagation, or working, the correction of leſſe than 4
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m.
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<
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>prim.
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doth the ſame. </
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<
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>In the third, and fourth, like as in the firſt,
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two minutes onely mount the ſtar even above the Firmament.
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</
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<
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>In the laſt preceding, a quarter of a minute, that is 15. ſeconds,
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gives us the ſame. </
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<
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>But it doth not ſo occur in the ſublunary
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tudes; for if you fancy to your ſelf what diſtance you moſt
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like, and go about to correct the workings made by the
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thour, and adjuſt them ſo as that they all anſwer in the ſame
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determinate diſtance, you will find how much greater
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ons they do require.</
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<
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>SAGR. </
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<
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>It cannot but help us in our fuller underſtanding of
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things, to ſee ſome examples of this which you ſpeak of.</
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<
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>SALV. </
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<
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>Do you aſſign any whatſoever determinate ſublunary
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diſtance at pleaſure in which to conſtitute the ſtar, for with ſmall
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ado we may aſſertain our ſelves whether corrections like to theſe,
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which we ſee do ſuffice to reduce it amongſt the fixed ſtars, will
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reduce it to the place by you aſſigned.</
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<
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>SAGR. </
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<
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>To take a diſtance that may favour the Authour, we
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will ſuppoſe it to be that which is the greateſt of all thoſe found
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by him in his 12 workings; for whilſt it is in controverſie
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tween him and Aſtronomers, and that they affirm the ſtar to
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have been ſuperiour to the Moon, and he that it was inferiour,
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very ſmall ſpace that he proveth it to have been lower, giveth
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him the victory.</
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<
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>SALV. </
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<
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>Let us therefore take the ſeventh working wrought
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upon the obſervations of
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Tycho
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and
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Thaddæus Hagecius,
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by
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which the Authour found the ſtar to have been diſtant from the
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centre 32. ſemidiameters, which ſituation is moſt favourable to
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his purpoſe; and to give him all advantages, let us moreover
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place it in the diſtance moſt disfavouring the
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Aſtronomers,
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which
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is to ſituate it above the Firmament. </
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<
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>That therefore being
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poſed, let us ſeek in the next place what corrections it would be
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ceſſary to apply to his other 11 workings. </
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<
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>And let us begin at the
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firſt calculated upon the obſervations of
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Hainzelius
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and
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Mauroice
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;
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in which the Authour findeth the diſtance from the centre about
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3. ſemidiameters with the Parallax of 4
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gr. </
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<
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>42 m. </
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<
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>30. ſec.
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Let </
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