di&longs;tances, the mutations, or if you plea&longs;e corrections, of a ve­
<lb/> ry few minutes, removeth the &longs;tar a very great way farther off.
<lb/> </s><s>As for example, in the fir&longs;t of the&longs;e workings, where the calcu­
<lb/> lation made the &longs;tar 60. &longs;emidiameters remote from the centre,
<lb/> with the Parallax of 2. minutes; he that would maintain that it
<lb/> was in the Firmament, is to correct in the ob&longs;ervations but onely
<lb/> two minutes, nay le&longs;&longs;e, for then the Parallax cea&longs;eth, or be­
<lb/> commeth &longs;o &longs;mall, that it removeth the &longs;tar to an immen&longs;e di­
<lb/> &longs;tance, which by all is received to be the Firmament. </s><s>In the &longs;e­
<lb/> cond indagation, or working, the correction of le&longs;&longs;e than 4 <emph type="italics"/>m.
<lb/> </s><s>prim.<emph.end type="italics"/> doth the &longs;ame. </s><s>In the third, and fourth, like as in the fir&longs;t,
<lb/> two minutes onely mount the &longs;tar even above the Firmament.
<lb/> </s><s>In the la&longs;t preceding, a quarter of a minute, that is 15. &longs;econds,
<lb/> gives us the &longs;ame. </s><s>But it doth not &longs;o occur in the &longs;ublunary alti­
<lb/> tudes; for if you fancy to your &longs;elf what di&longs;tance you mo&longs;t
<lb/> like, and go about to correct the workings made by the Au­
<lb/> thour, and adju&longs;t them &longs;o as that they all an&longs;wer in the &longs;ame
<lb/> determinate di&longs;tance, you will find how much greater correcti­
<lb/> ons they do require.</s></p>
<p type="main"><s>SAGR. </s><s>It cannot but help us in our fuller under&longs;tanding of
<lb/> things, to &longs;ee &longs;ome examples of this which you &longs;peak of.</s></p>
<p type="main"><s>SALV. </s><s>Do you a&longs;&longs;ign any what&longs;oever determinate &longs;ublunary
<lb/> di&longs;tance at plea&longs;ure in which to con&longs;titute the &longs;tar, for with &longs;mall
<lb/> ado we may a&longs;&longs;ertain our &longs;elves whether corrections like to the&longs;e,
<lb/> which we &longs;ee do &longs;uffice to reduce it among&longs;t the fixed &longs;tars, will
<lb/> reduce it to the place by you a&longs;&longs;igned.</s></p>
<p type="main"><s>SAGR. </s><s>To take a di&longs;tance that may favour the Authour, we
<lb/> will &longs;uppo&longs;e it to be that which is the greate&longs;t of all tho&longs;e found
<lb/> by him in his 12 workings; for whil&longs;t it is in controver&longs;ie be­
<lb/> tween him and A&longs;tronomers, and that they affirm the &longs;tar to
<lb/> have been &longs;uperiour to the Moon, and he that it was inferiour,
<lb/> very &longs;mall &longs;pace that he proveth it to have been lower, giveth
<lb/> him the victory.</s></p>
<p type="main"><s>SALV. </s><s>Let us therefore take the &longs;eventh working wrought
<lb/> upon the ob&longs;ervations of <emph type="italics"/>Tycho<emph.end type="italics"/> and <emph type="italics"/>Thaddæus Hagecius,<emph.end type="italics"/> by
<lb/> which the Authour found the &longs;tar to have been di&longs;tant from the
<lb/> centre 32. &longs;emidiameters, which &longs;ituation is mo&longs;t favourable to
<lb/> his purpo&longs;e; and to give him all advantages, let us moreover
<lb/> place it in the di&longs;tance mo&longs;t disfavouring the <emph type="italics"/>A&longs;tronomers,<emph.end type="italics"/> which
<lb/> is to &longs;ituate it above the Firmament. </s><s>That therefore being &longs;up­
<lb/> po&longs;ed, let us &longs;eek in the next place what corrections it would be ne­
<lb/> ce&longs;&longs;ary to apply to his other 11 workings. </s><s>And let us begin at the
<lb/> fir&longs;t calculated upon the ob&longs;ervations of <emph type="italics"/>Hainzelius<emph.end type="italics"/> and <emph type="italics"/>Mauroice<emph.end type="italics"/>;
<lb/> in which the Authour findeth the di&longs;tance from the centre about
<lb/> 3. &longs;emidiameters with the Parallax of 4 <emph type="italics"/>gr. </s><s>42 m. </s><s>30. &longs;ec.<emph.end type="italics"/> Let