Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Table of contents

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DISPVTATIO NES.
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          <div xml:id="echoid-div387" type="chapter" level="2" n="4">
            <div xml:id="echoid-div435" type="section" level="3" n="35">
              <p>
                <s xml:id="echoid-s2371" xml:space="preserve">
                  <pb o="195" rhead="DISPVTATIO NES." n="207" file="0207" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0207"/>
                tarium è contrà ſe habeat, præter id,
                  <reg norm="quod" type="simple">ꝙ</reg>
                nunquam fuit neque ſit futurus aliquis
                  <reg norm="horum" type="context">horũ</reg>
                  <lb/>
                rectorum, qui naturales dicuntur, qui tam velociter moueatur, ut motus cœli, quia ſi
                  <lb/>
                voluerimus conſiderare motum diurnum .24. horarum, ſecundum opinionem com-
                  <lb/>
                munem, reperiemus calculando, Lunam in quadraturis cum Sole, dum inuenitur in
                  <lb/>
                æquatore, ſingulis horarum minutis moueri per .500. milliaria Italica vel circa, & in
                  <lb/>
                coniunctionibus, & oppoſitionibus ipſius Solis .1000. vel circa, & Solem tempore
                  <reg norm="ae- quinoctiorum" type="simple context">ę-
                    <lb/>
                  quinoctiorũ</reg>
                .18000. &
                  <reg norm="Saturnum" type="context">Saturnũ</reg>
                circa æquatoris
                  <reg norm="ſitum" type="context">ſitũ</reg>
                .260000. &
                  <reg norm="amplius" type="simple">ampliꝰ</reg>
                de ſtellis
                  <reg norm="autem" type="wordlist">aũt</reg>
                  <lb/>
                fixis circa æquatorem poſitis quiuis cogitet; </s>
                <s xml:id="echoid-s2372" xml:space="preserve">quod reuera diffi cillimum quibuſdam
                  <lb/>
                videbitur, quod quidem non occurrit
                  <reg norm="ſecundum" type="context">ſecũdum</reg>
                pulcherrimam Ariſtarchi ſamij opi-
                  <lb/>
                nionem, diuinitus à Nicolao Copernico expreſſam, contra quam nil planè valent
                  <lb/>
                rationes ab Ariſtotele; </s>
                <s xml:id="echoid-s2373" xml:space="preserve">neque etiam à Ptolomeo propoſitę. </s>
                <s xml:id="echoid-s2374" xml:space="preserve">Motu verò proprio, quo
                  <lb/>
                libet horę minuto, Sol
                  <reg norm="mouetur" type="simple">mouet̃</reg>
                per milliaria circa .48. </s>
                <s xml:id="echoid-s2375" xml:space="preserve">Luna
                  <reg norm="quando" type="context">quãdo</reg>
                  <reg norm="coniuncta" type="context">cõiuncta</reg>
                eſt, aut op
                  <lb/>
                poſita reperitur Soli .36. milliaria, & in quadraturis .18. Saturnus .24. Iupiter .40:
                  <lb/>
                Mars .100: Venus .26: Mercur .5. </s>
                <s xml:id="echoid-s2376" xml:space="preserve">Sed Saturnus motu rapido, vno horæ minuto
                  <reg norm="mo- uetur" type="simple">mo-
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                  uet̃</reg>
                circa .260000. milliaria, vt diximus Iupiter circa .170000. Mars .75000. Venus.
                  <lb/>
                10000, Mercurius .2000. corpus
                  <reg norm="autem" type="context">autẽ</reg>
                elementare, & ſi
                  <reg norm="moueretur" type="simple">moueret̃</reg>
                motu recto hoc
                  <reg norm="mon" type="context">mõ</reg>
                ,
                  <lb/>
                & velocius etiam corpore cęleſti, non obſeruans
                  <reg norm="tamen" type="wordlist">tamẽ</reg>
                uniformitatem, ut dictum cœ
                  <lb/>
                leſte facit, cum eodem nullo modo comparari poſſet, quia rectus dictus naturalis,
                  <lb/>
                ſuam ſemper velocitatem adauget, ob continuam impreſſionem, quam recipit à cau
                  <lb/>
                ſa perpetuò coniuncta cum ipſo corpore, quę eſt propenſio illa naturalis eundi bre-
                  <lb/>
                uiori quadam via ad locum ſuum, ita vt etiam ſi dictum corpus elementare à motu
                  <lb/>
                tardiore ad velociorem, ſuperare poſſet
                  <reg norm="motum" type="context">motũ</reg>
                alicuius corporis cęleſtis, ij duo motus
                  <lb/>
                interſecarent ſeſe in vno ſolo
                  <reg norm="puncto" type="context">pũcto</reg>
                , quod diuidi
                  <reg norm="diſtribuique" type="simple">diſtribuiq́;</reg>
                in partes nequiret, ideſt
                  <lb/>
                non niſi in vno ſolo temporis inſtanti redderentur æquales, vt ita dicam. </s>
                <s xml:id="echoid-s2377" xml:space="preserve">
                  <reg norm="Neque" type="simple">Neq;</reg>
                  <reg norm="ſolum" type="context">ſolũ</reg>
                  <lb/>
                loquor de circulari cœleſti cum recto elementari, ſed de qualibet alia motuum ſpe-
                  <lb/>
                cie, ſiue ſint ambo recti, ſiue ambo curui, quando aliquis eorum irregularis erit.</s>
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            <div xml:id="echoid-div436" type="section" level="3" n="36">
              <head xml:id="echoid-head313" style="it" xml:space="preserve">Minus ſufficienter exploſam fuiſſe ab Ariſtotele opinionem cre-
                <lb/>
              dentium plures mundos exiſtere.</head>
              <head xml:id="echoid-head314" xml:space="preserve">CAP. XXXVI.</head>
              <p>
                <s xml:id="echoid-s2378" xml:space="preserve">MAior ratio, qua Ariſtoteles eorum opinionem, qui plures eſſe mundos dixe
                  <lb/>
                runt, refutare nititur, in eo conſiſtit, quod is credat partes terræ, quæ alijs
                  <lb/>
                mundis aſſignarentur, ad huius mundi centrum inclinationem habere, & ſic ignem
                  <lb/>
                illorum, propenſionem habiturum ad circunferentiam huius.</s>
              </p>
              <p>
                <s xml:id="echoid-s2379" xml:space="preserve">Quæ certè ratio tam debilis eſt, vt per ſe cadat, non conſideransipſe, quòd ſi
                  <lb/>
                eſſent dicti mundi, eorum quilibet ſuum proprium centrum,
                  <reg norm="ſuamque" type="simple">ſuamq́;</reg>
                propriam cir-
                  <lb/>
                cunferentiam haberet,
                  <reg norm="terrasque" type="simple">terrasq́;</reg>
                & ignes haberent inclinationem ad centra circunfe-
                  <lb/>
                  <reg norm="rentiasque" type="simple">rentiasq́;</reg>
                ſuorum mundorum, abſque eo,
                  <reg norm="quod" type="simple">ꝙ</reg>
                vna terra, alterius centrum appeteret; </s>
                <s xml:id="echoid-s2380" xml:space="preserve">vt
                  <lb/>
                exempli gratia, ſi doctiſſimi Ariſtarchi opinio eſt vera, rationi
                  <reg norm="quoque" type="simple">quoq;</reg>
                conſentaneum
                  <lb/>
                erit maximè, vt quod Lunæ contingit, cuilibet
                  <reg norm="etiam" type="context">etiã</reg>
                ex aliis quinque planetis eue-
                  <lb/>
                niat, ideſt, vt quemadmodum Luna ſuorum epicyclorum ope
                  <reg norm="circum" type="context">circũ</reg>
                terram voluitur,
                  <lb/>
                quaſi per circunferentiam alterius cuiuſdam epicycli, in quo terra ſit inſtar centri
                  <lb/>
                naturalis (ideſt ſit in medio) delati ab orbe annuo circa Solem; </s>
                <s xml:id="echoid-s2381" xml:space="preserve">Sic etiam Saturnus,
                  <lb/>
                Iupiter, Mars, Venus, atque Mercurius, cir cum aliquod corpus in medio ſui epici- </s>
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