Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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        <div xml:id="echoid-div303" type="section" level="1" n="103">
          <p>
            <s xml:id="echoid-s6276" xml:space="preserve">
              <pb o="133" file="169" n="170" rhead="Ioan. de Sacro Boſco."/>
            æqualiter à mundi centro remouentur, qualis eſt ſuperficies extima aquę ubi
              <lb/>
            cunq. </s>
            <s xml:id="echoid-s6277" xml:space="preserve">collocetur, cuiuſmodi non poteſt eſſe ſuperficies rectilinea, ſeu plan@.
              <lb/>
            </s>
            <s xml:id="echoid-s6278" xml:space="preserve">Si enim à cen-
              <lb/>
              <figure xlink:label="fig-169-01" xlink:href="fig-169-01a" number="53">
                <image file="169-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/169-01"/>
              </figure>
            tro mundi pluri
              <lb/>
            mę lineæ rectæ
              <lb/>
            ad ipſam proten
              <lb/>
            dãtur, omnium
              <lb/>
            minima erit ea,
              <lb/>
            quæ perpendicu
              <lb/>
            laris exiſtit ad
              <lb/>
            ſuperficiem: </s>
            <s xml:id="echoid-s6279" xml:space="preserve">reli
              <lb/>
            quę vero, quo a perpendiculari remotiores fuerint, eo quoq. </s>
            <s xml:id="echoid-s6280" xml:space="preserve">longiores erunt,
              <lb/>
            ut in hac figura cernis, facileq́. </s>
            <s xml:id="echoid-s6281" xml:space="preserve">probari poteſt ex propoſ. </s>
            <s xml:id="echoid-s6282" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6283" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s6284" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6285" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s6286" xml:space="preserve">Quam-
              <lb/>
            obrem punctum illud in plano, in quod perpendicularis cadit, centro erit pro-
              <lb/>
            ximum, ac proinde infimum: </s>
            <s xml:id="echoid-s6287" xml:space="preserve">Reliqua uero puncta plani à centro erunt remo
              <lb/>
            tiora, ac propterea altiora, ita ut extrema plani ſint altiſſima, cœloq. </s>
            <s xml:id="echoid-s6288" xml:space="preserve">uiciniſſi-
              <lb/>
            ma. </s>
            <s xml:id="echoid-s6289" xml:space="preserve">Quocirca ſi aliquis in illo plano incederet circa punctum centro proximũ
              <lb/>
            putaret ſe omnino deambulare in librato, quippe cum nihil ſentiret accliuit@
              <lb/>
            ti@ in tam paruo ſpatio, cum tamen uere modo aſcenderet, modo deſcenderet,
              <lb/>
            adeo ut quo magis inde receſſerit, eo accliuius aſcenderet, donec tandem ere
              <lb/>
            ctio ei negaret aſcenſum, ut luce clarius in propoſita figura deprehendi poteſt.
              <lb/>
            </s>
            <s xml:id="echoid-s6290" xml:space="preserve">Hinc etiam fit, ut ſi quiſpiam in pauimento aliquo librato, qualis eſt ſuperſi-
              <lb/>
            cies terræ, uel aquę, obambulet, caput illius uelocius feratur, quam medię cor
              <lb/>
            poris partes; </s>
            <s xml:id="echoid-s6291" xml:space="preserve">quoniam nimirum eodem tempore tam caput, quàm mediæ cor-
              <lb/>
            poris partes, portionem circuli deſcribunt, cuius centrum idem eſt, quod terrę: </s>
            <s xml:id="echoid-s6292" xml:space="preserve">
              <lb/>
            Clarum autem eft, caput maiorem circulum deſcribere, cum magis à centro
              <lb/>
            diſter, quam medias corporis partes, cum uiciniores centro exiftant.</s>
            <s xml:id="echoid-s6293" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Plus aquæ
            <lb/>
          contine@i
            <lb/>
          in uaſe ad
            <lb/>
          radices mõ
            <lb/>
          tis, quami@
            <lb/>
          cacumine.</note>
          <p>
            <s xml:id="echoid-s6294" xml:space="preserve">
              <emph style="sc">Manifestvm</emph>
            quoq.
              <lb/>
            </s>
            <s xml:id="echoid-s6295" xml:space="preserve">
              <figure xlink:label="fig-169-02" xlink:href="fig-169-02a" number="54">
                <image file="169-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/169-02"/>
              </figure>
            ex dictis relinquitur, uas
              <lb/>
            quodcunque plus aquę reci
              <lb/>
            pere in loco inferiori poſi-
              <lb/>
            tũ, quàm in ſuperiori, ut v.
              <lb/>
            </s>
            <s xml:id="echoid-s6296" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6297" xml:space="preserve">ad radices montis altiſſi-
              <lb/>
            mi, quàm in cacumine. </s>
            <s xml:id="echoid-s6298" xml:space="preserve">Cũ
              <lb/>
            enim, ut ſupra oſtendimus,
              <lb/>
            quælibet pars aquæ quieſcẽ
              <lb/>
            tis, in quocunq. </s>
            <s xml:id="echoid-s6299" xml:space="preserve">loco conti-
              <lb/>
            neatur, iaceat librata, pro-
              <lb/>
            pterea quòd ſuapte natura
              <lb/>
            ad decliuiora loca confluat,
              <lb/>
            efficiatq́. </s>
            <s xml:id="echoid-s6300" xml:space="preserve">ſphęricam ſuperſi-
              <lb/>
            ciẽ, cuius centrum eſt cẽtrũ
              <lb/>
            mũdi, luce clarius eſt, ſuper-
              <lb/>
            ficiẽ aquæ, quo uicinior cen
              <lb/>
            tro fuerit, eò minorẽ effice-
              <lb/>
            re ſphæram, cũ minorẽ poſ-
              <lb/>
            ſideat diametrum. </s>
            <s xml:id="echoid-s6301" xml:space="preserve">Quoniã
              <lb/>
            uero una eademq́. </s>
            <s xml:id="echoid-s6302" xml:space="preserve">linea </s>
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