Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

Table of contents

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[71.] IIII.
Page: 119 (82)
[72.] V.
Page: 119 (82)
[73.] THEOR. 1. PROPOS. 1.
Page: 119 (82)
[74.] THEOR. 2. PROPOS. 2.
Page: 120 (83)
[75.] THEOR. 3. PROPOS. 3.
Page: 121 (84)
[76.] THEOR. 4. PROPOS. 4.
Page: 122 (85)
[77.] THEOR. 5. PROPOS. 5.
Page: 122 (85)
[78.] THEOR. 6. PROPOS. 6.
Page: 123 (86)
[79.] THEOR. 1. PROPOS. 7.
Page: 124 (87)
[80.] SCHOLIVM.
Page: 125 (88)
[81.] THEOR. 7. PROPOS. 8.
Page: 125 (88)
[82.] THEOR. 8. PROPOS. 9.
Page: 126 (89)
[83.] PROBL. 2. PROPOS. 10.
Page: 127 (90)
[84.] THEOR. 9. PROPOS. 11.
Page: 128 (91)
[85.] THEOR. 10. PROPOS. 52
Page: 130 (93)
[86.] SCHOLIVM.
Page: 132 (95)
[87.] THEOR. 11. PROPOS. 13.
Page: 134 (97)
[88.] COROLLARIVM.
Page: 135 (98)
[89.] THEOR. 12. PROPOS. 14.
Page: 135 (98)
[90.] THEOR. 13. PROPOS. 15.
Page: 136 (99)
[91.] THEOR. 14. PROPOS. 16.
Page: 137 (100)
[92.] THEOR. 15. PROPOS. 17.
Page: 139 (102)
[93.] THEOR. 16. PROPOS. 18.
Page: 139 (102)
[94.] COMMENTARIVS.
Page: 142 (105)
[95.] COMMENTARIVS.
Page: 143 (106)
[96.] COMMENTARIVS.
Page: 145 (108)
[97.] TERRAM, ET AQVAM ESSE ROTVNDAS.
Page: 147 (110)
[98.] COMMENTARIVS.
Page: 147 (110)
[99.] COMMENTARIVS.
Page: 150 (113)
[100.] COMMENTARIVS.
Page: 151 (114)
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              <pb o="113" file="149" n="150" rhead="Ioan. de Sacro Boſco."/>
            ſus auſtrum, in tantum poſſet procedere, quòd ſtellę, quæ prius erant ei
              <lb/>
            ſempiternæ apparitionis, ei iam tenderent in occaſum; </s>
            <s xml:id="echoid-s5338" xml:space="preserve">& </s>
            <s xml:id="echoid-s5339" xml:space="preserve">quanto magis
              <lb/>
            accederet ad auſtrum, tanto plus mouerentur in occaſum. </s>
            <s xml:id="echoid-s5340" xml:space="preserve">Ille iterum idem
              <lb/>
            homo poſſet uidere ſtellas, quæ prius fuerant eiſempiternæ occultationis:
              <lb/>
            </s>
            <s xml:id="echoid-s5341" xml:space="preserve">& </s>
            <s xml:id="echoid-s5342" xml:space="preserve">e conuerſo contingeret alicui procedenti ab auſtro uerſus ſeptentrionem. </s>
            <s xml:id="echoid-s5343" xml:space="preserve">
              <lb/>
            Huius autem rei cauſa eſt tantum tumor terræ.</s>
            <s xml:id="echoid-s5344" xml:space="preserve"/>
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        <div xml:id="echoid-div290" type="section" level="1" n="99">
          <head xml:id="echoid-head103" xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:id="echoid-s5345" xml:space="preserve">
              <emph style="sc">Posteriorem</emph>
            hic partem antecedentis, quòd nimirum terra rotun
              <lb/>
            da etiam ſit a ſeptentrione in auſtrum, confirmat hac ratione. </s>
            <s xml:id="echoid-s5346" xml:space="preserve">Dubium no@
              <lb/>
            eſt, quin aliquæ ſtellæ fixæ nobis in ſphæra obliqua, & </s>
            <s xml:id="echoid-s5347" xml:space="preserve">in partibus ſeptentrio-
              <lb/>
            nalibus degentibus ſemper appareant, illæ nimirum, quæ ſunt prope polum ar
              <lb/>
            cticum: </s>
            <s xml:id="echoid-s5348" xml:space="preserve">quædam uero ſemper deliteſcant, illæ videlicet, quæ prope polum an-
              <lb/>
            tarcti
              <unsure/>
            cum exiſtunt. </s>
            <s xml:id="echoid-s5349" xml:space="preserve">Rurſus compertum eſt, ſi aliquis a ſeptentione in auſtrum
              <lb/>
            procederet directe, hoc eſt, ſub eodem ſemper Meridiano, illæ ſtellæ, quæ illi
              <lb/>
            ſemper ante apparebant, occultari inciperent: </s>
            <s xml:id="echoid-s5350" xml:space="preserve">& </s>
            <s xml:id="echoid-s5351" xml:space="preserve">contra illæ, quas ante uidere
              <lb/>
            non poterat iuxta polum antarcticum, paulatim ſeſe ſupra Horizontẽ extolle
              <lb/>
            rent, atque ſub conſpectum uenirent: </s>
            <s xml:id="echoid-s5352" xml:space="preserve">Videmus enim in Germania, quæ eſt ſe-
              <lb/>
            ptentrionalior, plures ſtellas perpetuo apparere, quàm in Italia, quæ minus ſe-
              <lb/>
            ptentrionalis eſt: </s>
            <s xml:id="echoid-s5353" xml:space="preserve">contra autem in Italia plures ſſellas conſpici in parte auſtra-
              <lb/>
            li, quàm in Germania. </s>
            <s xml:id="echoid-s5354" xml:space="preserve">Signum ergo eſt manifeſtum, terram eſſe rotundam à ſe-
              <lb/>
            ptentrione in auſtrum; </s>
            <s xml:id="echoid-s5355" xml:space="preserve">quemad modum cauſa, cur, cum montem aliquem rotũ
              <lb/>
            dum conſcendimus, res, quas antea non uidebamus, incipimus uidere, & </s>
            <s xml:id="echoid-s5356" xml:space="preserve">quas
              <lb/>
            ante conſpiciebamus, amplius intueri non poſſumus, eſt tantum tumor montis.</s>
            <s xml:id="echoid-s5357" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5358" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            ex his tantum colligi uidetur, terram a ſeptentrione in auſtrum
              <lb/>
              <note position="right" xlink:label="note-149-01" xlink:href="note-149-01a" xml:space="preserve">Rotundita
                <lb/>
              tem terræ
                <lb/>
              eſſe ſphæri-
                <lb/>
              cam.</note>
            eſſe rorundam aliquo modo, hoc eſt, minime planam exiſtere, non autem, quòd
              <lb/>
            ſit figuræ ſphæricæ. </s>
            <s xml:id="echoid-s5359" xml:space="preserve">Vnde idipſum hoc modo confirmandum erit
              <unsure/>
            . </s>
            <s xml:id="echoid-s5360" xml:space="preserve">Quando ali-
              <lb/>
            quis ſub eodem ſemper Meridiano exiſteu
              <unsure/>
            s a ſeptentrione in auſtrum pergit,
              <lb/>
            deprehendit continue eleuationem poli ſupra Horizontem decreſcere, hac ſer
              <lb/>
            uata proportione, ut ſi in uno loco altitudo poli eſt, v.</s>
            <s xml:id="echoid-s5361" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5362" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s5363" xml:space="preserve">40. </s>
            <s xml:id="echoid-s5364" xml:space="preserve">poſtquam con
              <lb/>
            fecerit uerſus auſtrum 62. </s>
            <s xml:id="echoid-s5365" xml:space="preserve">milliaria, reperiat polum eleuaritantum grad. </s>
            <s xml:id="echoid-s5366" xml:space="preserve">39.
              <lb/>
            </s>
            <s xml:id="echoid-s5367" xml:space="preserve">& </s>
            <s xml:id="echoid-s5368" xml:space="preserve">ſic deinceps, quotieſcunque 62. </s>
            <s xml:id="echoid-s5369" xml:space="preserve">milliaria confecerit, inueniat altitudinem
              <lb/>
            poli decreuiſſe per unum gradum. </s>
            <s xml:id="echoid-s5370" xml:space="preserve">Neceſſe igitur eſt, terram eſſe ſphæricam
              <lb/>
            a ſeptentrione in auſtrum. </s>
            <s xml:id="echoid-s5371" xml:space="preserve">Hæc enim proportio decrementi altitudinis poli
              <lb/>
            figuræ duntaxat ſphæricæ conuenire poteſt, ut manifeſtum eſt apud Geome-
              <lb/>
            tras, & </s>
            <s xml:id="echoid-s5372" xml:space="preserve">Aſtronomos.</s>
            <s xml:id="echoid-s5373" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s5374" xml:space="preserve">
              <emph style="sc">Eodem</emph>
            pacto oſtendetur, terram ab ortu in occaſum non eſſe quocun-
              <lb/>
            que modo rotundam, ſed ſphæricam. </s>
            <s xml:id="echoid-s5375" xml:space="preserve">Nam illa anticipatio ortus, & </s>
            <s xml:id="echoid-s5376" xml:space="preserve">occaſus So
              <lb/>
            lis, nec non meridiei, proportionem ſupradictam (ut nimirum ciuitati illi, quę
              <lb/>
            altera orientalior cſt quindecim gradibus, una hora citius Sol oriatur, & </s>
            <s xml:id="echoid-s5377" xml:space="preserve">occi-
              <lb/>
            dat; </s>
            <s xml:id="echoid-s5378" xml:space="preserve">illi autem, quæ magis eſt orientalis triginta gradibus, duabus horis citius,
              <lb/>
            & </s>
            <s xml:id="echoid-s5379" xml:space="preserve">ſic de reliquis) minime ſeruare poteſt, niſi ſphæricam figuram terræ attribua
              <lb/>
            mus. </s>
            <s xml:id="echoid-s5380" xml:space="preserve">Quamobrem auctor noſter recte demonſtrauit, terram rotundam eſſe.</s>
            <s xml:id="echoid-s5381" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5382" xml:space="preserve">
              <emph style="sc">Item</emph>
            ſi terra eſſet plana ab oriente in occidentem, tam cito ori-
              <lb/>
              <note position="right" xlink:label="note-149-02" xlink:href="note-149-02a" xml:space="preserve">Terram nõ
                <lb/>
              eſſe planã.</note>
            rentur ſtellæ occidentalibus, quàm orientalibus, quod patet eſſe fal
              <unsure/>
            ſum.
              <lb/>
            </s>
            <s xml:id="echoid-s5383" xml:space="preserve">Item ſi terra eſſet plana a ſeptentrione in auſtrum, & </s>
            <s xml:id="echoid-s5384" xml:space="preserve">contra, </s>
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