Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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            <s xml:id="echoid-s5793" xml:space="preserve">
              <pb o="124" file="160" n="161" rhead="Comment. in I. Cap. Sphæræ"/>
            paulatim mare in tumorem quendam, ac montem, vt co@trarium ſentientes fa-
              <lb/>
            bulantur, cuius illis, qui nauigant, poſtquam aliquot gradus confecerint, orire-
              <lb/>
            tur Sol, quàm quando exiſtebant in terra: </s>
            <s xml:id="echoid-s5794" xml:space="preserve">Pari ratione, ſi quis diceret, mare pe-
              <lb/>
            detentim deprimi, non poſſet ſeruari illa proportionalis uarietas exorientis So
              <lb/>
            lis, ac occidentis, reliquarumq. </s>
            <s xml:id="echoid-s5795" xml:space="preserve">ſtellarum. </s>
            <s xml:id="echoid-s5796" xml:space="preserve">Quod cum ſalſum ſit, perſpicuũ eſt,
              <lb/>
            terram & </s>
            <s xml:id="echoid-s5797" xml:space="preserve">aquam, vnum eandemq́ue ſuperficiem cõuexam obtinere à qua cun-
              <lb/>
            que parte orientis uerſus occidentem. </s>
            <s xml:id="echoid-s5798" xml:space="preserve">Præterea, quemad modum ſi aliquis pro
              <lb/>
            cederet in terra à ſeptentrione in auſtrum quoquo uerſus, poſtquam integrum
              <lb/>
            gradum perambulaſſet, reperiret polum arcticum magis depreſſum vno gradu;
              <lb/>
            </s>
            <s xml:id="echoid-s5799" xml:space="preserve">ſi uero duos gradus in terra peregiſſet, duobus etiam gradibus depreſſum, atq; </s>
            <s xml:id="echoid-s5800" xml:space="preserve">
              <lb/>
            ita deinceps proportionaliter; </s>
            <s xml:id="echoid-s5801" xml:space="preserve">Ita quoque prorſus obſeruatum fuit in mari. </s>
            <s xml:id="echoid-s5802" xml:space="preserve">
              <lb/>
            Quando enim à ſeptentrione in auſtrum nauigatio inſtituitur, ut ex Luſitania
              <lb/>
            v.</s>
            <s xml:id="echoid-s5803" xml:space="preserve">g.</s>
            <s xml:id="echoid-s5804" xml:space="preserve">vbi eleuatio poli continet grad. </s>
            <s xml:id="echoid-s5805" xml:space="preserve">40. </s>
            <s xml:id="echoid-s5806" xml:space="preserve">uerſus inſulas Canarias ſeu Fortuna-
              <lb/>
            tas, poſtquam iter confectum eſt per integrum gradum, reperitur polus altitu-
              <lb/>
            dinem habere 39. </s>
            <s xml:id="echoid-s5807" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s5808" xml:space="preserve">duntaxat, & </s>
            <s xml:id="echoid-s5809" xml:space="preserve">ſic deinceps proportionaliter. </s>
            <s xml:id="echoid-s5810" xml:space="preserve">Contrarium
              <lb/>
            vero obſeruatum fuit, quando à meridie in ſeptẽtrionem nauigatur, vt ex inſ@
              <lb/>
            lis prædictis Luſitaniam uerſus, uel ex Luſitania in Britanniam. </s>
            <s xml:id="echoid-s5811" xml:space="preserve">Signum igi,
              <lb/>
            tur manifeſtiſſimum eſt, aquam eandem cum terra habere ſuperficiem conue-
              <lb/>
            xam à ſeptemtrione in auſtrum, ita ut neque terra, neque mare magis attolla-
              <lb/>
            tur, ſed utrumque elementum æquali diſtantia à centro mundi remoueantur: </s>
            <s xml:id="echoid-s5812" xml:space="preserve">
              <lb/>
            Aliàs enim dicta proportio in uariatione altitudinis poli conſlare minime poſ
              <lb/>
            ſet. </s>
            <s xml:id="echoid-s5813" xml:space="preserve">Cum igitur nulla in re diſcrepet conuexa ſuperficies aquæ à ſupe ficie con
              <lb/>
            uexa terræ, tam ab ortu in occaſum, quàm à ſeptentrione in auſtrum, nullus iã
              <lb/>
            dubitandi locus relinqultur, unum globum ex vtroque elemento conſtitui. </s>
            <s xml:id="echoid-s5814" xml:space="preserve">
              <lb/>
            Habuit hæc ratio tantum momentum apud quendam, qui contrariam ſenten-
              <lb/>
            tiam tuebatur, (quemadmodum à viris fide dignis, qui familiariter eo uteban-
              <lb/>
            tur, accepi.) </s>
            <s xml:id="echoid-s5815" xml:space="preserve">vt proprijs impenſis in diuerſas partes, aſſumptis ſecum uariis in-
              <lb/>
            ſtrumentis Mathematicis nauigarit periculum facturus, num hæc proportio,
              <lb/>
            quã in ortu, & </s>
            <s xml:id="echoid-s5816" xml:space="preserve">occaſu ſtellarum, & </s>
            <s xml:id="echoid-s5817" xml:space="preserve">in eleuatione poli ſeruari diximus, uera eſ-
              <lb/>
            ſet, an conficta ab Aſtronomis: </s>
            <s xml:id="echoid-s5818" xml:space="preserve">deinde vero cum deprehendiſſet eam ueriſſimã
              <lb/>
            eſſe, relicta priore ſua opinione erronea, ueram ſententiam amplexus ſit.</s>
            <s xml:id="echoid-s5819" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5820" xml:space="preserve">
              <emph style="sc">Tertio</emph>
            concludi poteſt hæc noſtra ſententia ex eclipſibus Lunaribus,
              <lb/>
              <note position="left" xlink:label="note-160-01" xlink:href="note-160-01a" xml:space="preserve">3. ratio</note>
            hac ratione. </s>
            <s xml:id="echoid-s5821" xml:space="preserve">In omni eclipſi Lunæ umbra aggregati ex terra & </s>
            <s xml:id="echoid-s5822" xml:space="preserve">aqua rotunda
              <lb/>
            eſt, in quacunque cœli parte contingat eclipſis. </s>
            <s xml:id="echoid-s5823" xml:space="preserve">Igitur neceſſe eſt terram & </s>
            <s xml:id="echoid-s5824" xml:space="preserve">aquã
              <lb/>
            vnum componere globum. </s>
            <s xml:id="echoid-s5825" xml:space="preserve">Antecedens perſpicuum eſt in partibus Lunæ non-
              <lb/>
            dum eclypſatis: </s>
            <s xml:id="echoid-s5826" xml:space="preserve">Sunt etenim eæ corniculatæ, ſeu circulares, ut experientia no-
              <lb/>
            tum eſt omnibus Aſtronomis, & </s>
            <s xml:id="echoid-s5827" xml:space="preserve">ijs etiam, qui vel vnam Lunæ eclipſim conſpe-
              <lb/>
            xerunt. </s>
            <s xml:id="echoid-s5828" xml:space="preserve">Quare oportet vmbram eiuſdem eſſe figuræ, nempe circularis. </s>
            <s xml:id="echoid-s5829" xml:space="preserve">Si enim
              <lb/>
            eſſet quadrata, uel triangularis, uel alterius figuræ præter ſphæricam, non con
              <lb/>
            ſpiceretur Luna circulariter ingredi vmbram, ſed ad modum vmbræ non rotũ
              <lb/>
            dæ, quod cum experientia pugnat. </s>
            <s xml:id="echoid-s5830" xml:space="preserve">Conſecutio uero neceſſaria eſt. </s>
            <s xml:id="echoid-s5831" xml:space="preserve">Nã ut oſten
              <lb/>
            dunt Perſpectui, figura cuiuſque vmbræ imitatur figuram corporis opaci, quod
              <lb/>
            vmbram eſſicit; </s>
            <s xml:id="echoid-s5832" xml:space="preserve">vt ſi corpus opacum, ſeu vmbroſum extiterit rotundum, vm-
              <lb/>
            bra quoque rotunda proijciatur; </s>
            <s xml:id="echoid-s5833" xml:space="preserve">ſi figuræ lateratæ fuerit corpus vmbroſum,
              <lb/>
            eiuſdem figuræ cernatur umbra, & </s>
            <s xml:id="echoid-s5834" xml:space="preserve">ſic de cęteris, vt facillime quiuis experiri po
              <lb/>
            terit. </s>
            <s xml:id="echoid-s5835" xml:space="preserve">Cum igitur umbra in quauis eclipſi Lunari perfectiſſime rotunda appa-
              <lb/>
            reat, vt indicant partes nondum eclipſatę, neceſſario concludendum eſt, cor-
              <lb/>
            pus illam umbram efficiens, nempe compoſitum ex terra, & </s>
            <s xml:id="echoid-s5836" xml:space="preserve">aqua, rotundũ </s>
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