Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

List of thumbnails

< >
291
291 (254) 		292
292 (255)
293
293 (256) 		294
294 (257)
295
295 (258) 		296
296 (259)
297
297 (260) 		298
298 (261)
299
299 (262) 		300
300 (263)
< >
page |< < (327) of 525 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div725" type="section" level="1" n="254">
          <pb o="327" file="363" n="364" rhead="Ioan. de Sacro Boſco."/>
        </div>
        <div xml:id="echoid-div726" type="section" level="1" n="255">
          <head xml:id="echoid-head266" xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:id="echoid-s14011" xml:space="preserve">
              <emph style="sc">Solvit</emph>
            hic auctor ex ijs, quæ dixit, dubitationem quandam, quæ alicui
              <lb/>
            faceſſere poſſet negotium. </s>
            <s xml:id="echoid-s14012" xml:space="preserve">videlicet, non valere hanc argumentationem: </s>
            <s xml:id="echoid-s14013" xml:space="preserve">Sunt
              <lb/>
            duo arcus in ſphæra omnino æquales inter ſe, qui ſimul eodem temporis mo
              <lb/>
            mento incipiunt oriri ſupra Horizontem, ſemperq́. </s>
            <s xml:id="echoid-s14014" xml:space="preserve">maior pars unius exorta
              <lb/>
            eſt, quàm alterius, igitur citius arcus ille totus, cuius ſemper maior pars eſt
              <lb/>
            perorta, ſupra Horizontẽ aſcendet, quàm arcus, cuius ſemper minor fuit por-
              <lb/>
            tio orta. </s>
            <s xml:id="echoid-s14015" xml:space="preserve">Soluitur enim hæc argumẽtatio per ea, quæ dicta ſunt in prima regu
              <unsure/>
              <lb/>
            la. </s>
            <s xml:id="echoid-s14016" xml:space="preserve">Nam quilibet Quadrans Zodiaci initium ſumens ab aliquo quatuor pun-
              <lb/>
            ctorum cardinalium, ut diximus, ſimul totus exoritur cum quadrante Aequa-
              <lb/>
            toris correſpondente, & </s>
            <s xml:id="echoid-s14017" xml:space="preserve">@amen, antequam toti Quadrantes peroriantur, ſem-
              <lb/>
            per maior pars alicuius eorum eſt exorta, quàm alterius. </s>
            <s xml:id="echoid-s14018" xml:space="preserve">Semper enim maior
              <lb/>
            pars cuiuſlibet quadrantis Zodiaci ab alterutro æquinoctio in cipientis aſcen-
              <lb/>
            dit ſupra Horizontem, quàm Quadrantis Aequatoris, initio facto ſemper om
              <lb/>
            nium arcuum orientium à puncto æquinoctij, quia ſemper talis arcus Zodiaci
              <lb/>
            efficit minorẽ angulum cum Horizonte ad partes Aequatoris, quàm Aequa-
              <lb/>
            tor: </s>
            <s xml:id="echoid-s14019" xml:space="preserve">Vnde per propoſ. </s>
            <s xml:id="echoid-s14020" xml:space="preserve">10. </s>
            <s xml:id="echoid-s14021" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s14022" xml:space="preserve">1. </s>
            <s xml:id="echoid-s14023" xml:space="preserve">Menelai, uel per propoſ. </s>
            <s xml:id="echoid-s14024" xml:space="preserve">11. </s>
            <s xml:id="echoid-s14025" xml:space="preserve">noſtrorum triangu-
              <lb/>
            lerum ſphæricorum, minor arcus Aequatoris correſpondebit, donec in fine
              <lb/>
            Quadrantum uterque angulus fiat rectus, & </s>
            <s xml:id="echoid-s14026" xml:space="preserve">conſequenter arcus æquales, per
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s14027" xml:space="preserve">4. </s>
            <s xml:id="echoid-s14028" xml:space="preserve">eiuſdem lib. </s>
            <s xml:id="echoid-s14029" xml:space="preserve">1. </s>
            <s xml:id="echoid-s14030" xml:space="preserve">Menelai, uel per propoſ. </s>
            <s xml:id="echoid-s14031" xml:space="preserve">5. </s>
            <s xml:id="echoid-s14032" xml:space="preserve">noſtrorum triangulorum
              <lb/>
            ſphæricornm. </s>
            <s xml:id="echoid-s14033" xml:space="preserve">Simili modo ſemper maior pars cuiuſlibet Quadrantis Aequa-
              <lb/>
            toris initium ſumentis à Coluro ſolſtitiorum, ſupra Horizontem emergit,
              <lb/>
            quàm Quadrantis Zodiaci correſpondentis, ut clariſſime deducitur ex trian-
              <lb/>
            gulis ſphæricis, & </s>
            <s xml:id="echoid-s14034" xml:space="preserve">perſpicue apparebit ex tabula aſcenſionum rectarum: </s>
            <s xml:id="echoid-s14035" xml:space="preserve">quia
              <lb/>
            videlicet ſemper talis arcus Aequatoris minorem angulum cõſtituit cum Ho
              <lb/>
            rizonte, quàm Zodiacus, &</s>
            <s xml:id="echoid-s14036" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14037" xml:space="preserve">Quod autem toti Quadrantes ſimul peroriãtur,
              <lb/>
            etiamſi ſemper maior pars unius ſit perorta, quã alterius, inde prouenit, quòd
              <lb/>
            non ſemper eadem proportione maior pars unius oriatur, quàm alterius, ſed
              <lb/>
            paulatim decreſcatilla proportio, ut manifeſtum eſt ex tabula aſcenſionũ re-
              <lb/>
            ctarum, ita ut in fine ſit iam compenſata tota inæqualitas aſcenſionum. </s>
            <s xml:id="echoid-s14038" xml:space="preserve">Quod
              <lb/>
            quidem fieri poſſe, præter exemplum Quadrãtum Zodiaci, & </s>
            <s xml:id="echoid-s14039" xml:space="preserve">Aequatoris ad-
              <lb/>
            ductum, hoc uno exemplo percipi poteſt. </s>
            <s xml:id="echoid-s14040" xml:space="preserve">Sint duo mobilia A, & </s>
            <s xml:id="echoid-s14041" xml:space="preserve">B, quæ per
              <lb/>
            vnum & </s>
            <s xml:id="echoid-s14042" xml:space="preserve">idem ſpatium moueantur, incipiendo eodem temporis momẽto, hac
              <lb/>
            tamen lege, ut A, quidem ſemper regulariter, & </s>
            <s xml:id="echoid-s14043" xml:space="preserve">uniformiter incedat, B, vero
              <lb/>
            vſq; </s>
            <s xml:id="echoid-s14044" xml:space="preserve">ad medium ſpatium uelocius, uel tardius feratur, & </s>
            <s xml:id="echoid-s14045" xml:space="preserve">a medio ad finẽ uſq;
              <lb/>
            </s>
            <s xml:id="echoid-s14046" xml:space="preserve">tardius uel uelocius eadem omnino proportione, quaantea vincebat mobile
              <lb/>
            A, vel ab eo ſuperabatur. </s>
            <s xml:id="echoid-s14047" xml:space="preserve">Quo poſito certum eſt, utrumque mobile eodem
              <lb/>
            tempore ad finem. </s>
            <s xml:id="echoid-s14048" xml:space="preserve">ſpatij peruenturũ, quòd illa dicta proportione tota inæqua
              <lb/>
            litas compenſetur: </s>
            <s xml:id="echoid-s14049" xml:space="preserve">nihilominus tamen ante finem ſpatij totius ſemper mobile
              <lb/>
            A, antecedet, uel conſequetur mobile B. </s>
            <s xml:id="echoid-s14050" xml:space="preserve">Alias non una abſoluerent totum
              <lb/>
            ſpatium, ut conſtat. </s>
            <s xml:id="echoid-s14051" xml:space="preserve">Sic igitur intelligendum eſt moueri Quadrantes Zodiaci,
              <lb/>
            & </s>
            <s xml:id="echoid-s14052" xml:space="preserve">Aequatoris, totos quidem eodem tempore exoriri, partes uero eorundem
              <lb/>
            temporibus inæqualibus. </s>
            <s xml:id="echoid-s14053" xml:space="preserve">Nam quadrantes Zodiaci a Coluro æquinoctio-
              <lb/>
            rum incipientes velocius exoriuntur circa principium, tardius uero circa fi-
              <lb/>
            nem: </s>
            <s xml:id="echoid-s14054" xml:space="preserve">At Quadrantes a Coluro Solſtitiorum inchoati tardius in principio,
              <lb/>
            quàm in fine.</s>
            <s xml:id="echoid-s14055" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum