Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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            <s xml:id="echoid-s6570" xml:space="preserve">
              <pb o="140" file="176" n="177" rhead="Comment. in I. Cap. Sphæræ"/>
            diaci eſt ſupra Horizontem quemcunque, & </s>
            <s xml:id="echoid-s6571" xml:space="preserve">medietas infra, eo quòd ſemper
              <lb/>
            ſex ſigna ſupra Horizontem exiſtant.</s>
            <s xml:id="echoid-s6572" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6573" xml:space="preserve">
              <emph style="sc">Deinde</emph>
            . </s>
            <s xml:id="echoid-s6574" xml:space="preserve">Solum in ſphæra recta fieret æquinoctium, quoniam ſolus Ho-
              <lb/>
            rizon rectus bifariam diuideret Æquatorem, ut ex ſuperiori figura conſtat, in
              <lb/>
            qua Æquator eſt B D; </s>
            <s xml:id="echoid-s6575" xml:space="preserve">Horizon rectus, A C; </s>
            <s xml:id="echoid-s6576" xml:space="preserve">obliquus, Y Z, ſecans Aequato-
              <lb/>
            rem in F, in partes inæquales. </s>
            <s xml:id="echoid-s6577" xml:space="preserve">Quòd in aliquo Horizonte obliquo continge
              <lb/>
            ret fieri æquinoctium, illud minime accideret in tempore medio inter utrum-
              <lb/>
            que Solſtitium, ſed multo propinquius eſſet æquinoctium uni ſolſtitiorum
              <lb/>
            quàm alteri. </s>
            <s xml:id="echoid-s6578" xml:space="preserve">Vt ſi terra conſtitueretur in N, inter tropicum X H, & </s>
            <s xml:id="echoid-s6579" xml:space="preserve">Æquato-
              <lb/>
            rem B D, fieret ęquinoctium, quando Sol parallelum percurrit, qui per N, de-
              <lb/>
            ſcribitur; </s>
            <s xml:id="echoid-s6580" xml:space="preserve">quod quidẽ ęquinoctium lõge uicinius exiſtit ſolſtitio ęſtiuo, quàm
              <lb/>
            hyberno. </s>
            <s xml:id="echoid-s6581" xml:space="preserve">Quòd ſi terra ſita eſſet in G, contingeret ęquinoctium in ipſo die Sol
              <lb/>
            @titij æſtiui, quæ quidem omnia abſurdiſſima ſunt.</s>
            <s xml:id="echoid-s6582" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6583" xml:space="preserve">
              <emph style="sc">Tertio</emph>
            , Vni
              <lb/>
              <figure xlink:label="fig-176-01" xlink:href="fig-176-01a" number="58">
                <image file="176-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/176-01"/>
              </figure>
            uerſa ſeries, atq. </s>
            <s xml:id="echoid-s6584" xml:space="preserve">pro
              <lb/>
            portio incrementi,
              <lb/>
            & </s>
            <s xml:id="echoid-s6585" xml:space="preserve">decrementi die-
              <lb/>
            rum, ac noctium cõ
              <lb/>
            funderet̃, quę ubiq-
              <lb/>
            extra rectam ſphæ-
              <lb/>
            ram apparet ante & </s>
            <s xml:id="echoid-s6586" xml:space="preserve">
              <lb/>
            poſt ęquinoctium;
              <lb/>
            </s>
            <s xml:id="echoid-s6587" xml:space="preserve">quæ talis eſt, ut bis
              <lb/>
            in anno dies adę-
              <lb/>
            quentur noctibus,
              <lb/>
            in tempore uideli-
              <lb/>
            cet medio inter diẽ
              <lb/>
            longiſſimam, ac bre
              <lb/>
            uiſſimam: </s>
            <s xml:id="echoid-s6588" xml:space="preserve">Dies lon
              <lb/>
            giſſima ſit æqualis
              <lb/>
            nocti longiſſimæ: </s>
            <s xml:id="echoid-s6589" xml:space="preserve">& </s>
            <s xml:id="echoid-s6590" xml:space="preserve">
              <lb/>
            dies breuiſſima no-
              <lb/>
            ctibreuiſſimæ. </s>
            <s xml:id="echoid-s6591" xml:space="preserve">Ex-
              <lb/>
            ceſſus diei longiſſi-
              <lb/>
            mæ ſupra diem æꝗ-
              <lb/>
            noctij tantus ſit, ꝗ̃-
              <lb/>
            tus eſt defectus minimæ diei ab eodem die æquinoctij: </s>
            <s xml:id="echoid-s6592" xml:space="preserve">Quod idem dicẽdum
              <lb/>
            eſt de duobus diebus quibuſcunq. </s>
            <s xml:id="echoid-s6593" xml:space="preserve">a die ęquinoctij æque remotis, quorum u-
              <lb/>
            nus ſit ante, alter vero poſt æquinoctium: </s>
            <s xml:id="echoid-s6594" xml:space="preserve">& </s>
            <s xml:id="echoid-s6595" xml:space="preserve">alia huiuſmodi. </s>
            <s xml:id="echoid-s6596" xml:space="preserve">Quæ quidem per
              <lb/>
            petua ſeries, ac proportio conſtare duntaxat, & </s>
            <s xml:id="echoid-s6597" xml:space="preserve">conſeruari poterit, ſi terra in
              <lb/>
            centro E, collocetur: </s>
            <s xml:id="echoid-s6598" xml:space="preserve">Hac enim ratione Horizõ obliquus quilibet, nempe S R,
              <lb/>
            diuidet Æquatorem B D, in partes æquales, ut tãta portio eius extet ſupra Ho
              <lb/>
            rizontem, ꝗ̃ta infra Horizontem later, ac proinde tanta erit dies, quanta nox. </s>
            <s xml:id="echoid-s6599" xml:space="preserve">
              <lb/>
            Pari ratione ſecabuntur tropici X H, & </s>
            <s xml:id="echoid-s6600" xml:space="preserve">I L, in partes inæquales, ita tamen, ut
              <lb/>
            alterna ſegmenta æqualia exiſtant, nempe T X, & </s>
            <s xml:id="echoid-s6601" xml:space="preserve">V L; </s>
            <s xml:id="echoid-s6602" xml:space="preserve">Item T H, & </s>
            <s xml:id="echoid-s6603" xml:space="preserve">V I, ut
              <lb/>
            demonſtrat Theodoſius lib. </s>
            <s xml:id="echoid-s6604" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6605" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s6606" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6607" xml:space="preserve">Ex quo fit, diem longiſſimam X T,
              <lb/>
            æqualem eſſe nocti longiſſimæ I. </s>
            <s xml:id="echoid-s6608" xml:space="preserve">V; </s>
            <s xml:id="echoid-s6609" xml:space="preserve">& </s>
            <s xml:id="echoid-s6610" xml:space="preserve">diem breuiſſimam I V, nocti breuiſſimæ
              <lb/>
            H T. </s>
            <s xml:id="echoid-s6611" xml:space="preserve">Denique T G, exceſſus maximæ diei X T, ſupra diem ęquinoctij X </s>
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