Cardano, Girolamo, De subtilitate, 1663

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        <body>
          <chap>
            <p type="main">
              <s id="s.003401">
                <pb pagenum="432" xlink:href="016/01/081.jpg"/>
              gulum nullum ſenſilem faciunt. </s>
              <s id="s.003402">Proce­
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              dentibus igitur nobis, vt ſemper nos videa­
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              tur cubito antecedere, ſydus neceſſe eſt, vt
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              nobiſcum moueri videatur: atque eadem ra­
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              tione quæ poſt terga ſunt, vt ſequi videan­
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              tur, pariter neceſſe eſt. </s>
              <s id="s.003403">At ſi alium ambulan­
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              tem inſpicias, tu autem quieſcas, illa non
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              moueri videbuntur. </s>
              <s id="s.003404">Verùm ſydera ob aſpe­
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              ctus diuerſitatem, non eundum ſitum oculi
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              tui comparatione habebunt: nam aliqua vi­
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              debitur poſt tergum reliquiſſe quæ ante
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              erant, quod cùm in nobis ipſis contingere
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              nequeat, ſed vt videamus ſydera ſemper ſub
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              eodem ſitu loci, noſtri comparatione ſub quo
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              prius fuerant, neceſſe eſt vt nobiſcum hac
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              de cauſa venire videantur, ac nos perpetuò
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              comitari. </s>
              <s id="s.003405">At in naui cùm quieſcere nobis vi­
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              deamur, procedente autem naui, quæ ante
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              erant, poſt terga relinquuntur: cùm igitur
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              oculus motum percipiat, nos autem putat
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              quieſcere, quia in naui quieſcimus, neceſſe
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              eſt vt arbitretur ripas & arbores moueri
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              verſus nos, ac deinde poſt terga, contraria
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              ſyderum motus ratione.
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              </s>
            </p>
            <p type="margin">
              <s id="s.003406">
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              Cur aſtra
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              nos iter
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              agentes ſe­
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              quantur, ri­
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              pæ autem re­
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              trò fugiant.</s>
            </p>
            <p type="margin">
              <s id="s.003407">
                <margin.target id="marg420"/>
              Cur ſol &
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              aſtra
                <expan abbr="cũ">cum</expan>
              cœ­
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              lum in 24­
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              horis
                <expan abbr="circũ-eant">circun­
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                eant</expan>
              , quieſ­
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              cere tamen
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              videantur.</s>
            </p>
            <p type="main">
              <s id="s.003408">Eadem de cauſa dubitare, ſed contrario
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              modo, contingit, cur Solis radij, cùm totum
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              terræ ambitum circumeat, & Sol cœlum,
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              neque Sol tamen in cœlo, neque radij in ter­
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              ra moueri videntur, cùm ipſi radij millies
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              millena paſſuum ſingulis horis, ſi non plus,
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              ſaltem procedant? </s>
              <s id="s.003409">De Sole cauſa eſt, quia
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              circulus in quo circumfertur, haud magnus
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              oculo videtur, ideo motus videtur: moueri
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              autem non cùm ſenſim procedat, & mini­
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              mum ſit ſpatium quod pertranſire cernitur,
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              & (vt clarius dicam) angulus quem facit ſin­
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              gulis momentis ob motum eſt inſenſilis: igi­
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              tur iuxta noſtra ſuppoſita, quæ antea docui­
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              mus, Sol non videbitut moueri, nec vllum
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              aliud ſydus eadem ratione. </s>
              <s id="s.003410">Obiicies forſan,
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              quòd luna ſi in terræ ſuperficie circumfera­
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              tur, celerrimè moueri videretur? </s>
              <s id="s.003411">at in cœlo
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              velocius, & iuxta eandem proportionem mo­
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              uetur? </s>
              <s id="s.003412">Sit igitur mota ex A in B, oculus C
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              conſtat magnam eſſe proportionem ad DF.
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              moueatur etiam aliquid eodem tempore ex
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              D in G, ſic vt C ſit in linea BF. </s>
              <s id="s.003413">Dico igitur,
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              velocius motum videri ex D in G, quàm ex
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              A in B. nam angulus ACB, paulò maior eſt
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                <figure id="id.016.01.081.1.jpg" xlink:href="016/01/081/1.jpg" number="57"/>
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              angulo AFB, quia ángulus CBF, eſt inſenſi­
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              lis fermè, ob paruitatem CF. ſi igitur pona­
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              tur AFB, inſenſilis erit & A C B. primum
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              ergo quod depræhenditur ſit angulus ACB,
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              & arcus ACB, antea igitur inſenſilis fuit
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              motus. </s>
              <s id="s.003414">At quia C G eſt prorſus inſenſilis
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              comparata ad BC, & BG, erit angulus BCG
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              quaſi rectus, igitur & angulus DCG per
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              dicta primo elementorum D G igitur mul­
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                <lb/>
              to maior quàm DC eò quòd D rectus eſt:
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              erit enim D G C angulus æqualis fermè an­
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              gulo A C B, quare D manifeſtè videbitur
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              motum in G, ac longè velocius quàm ex
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              A in B. </s>
              <s id="s.003415">Ex hoc ſequitur, quòd quanto al­
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              tiora erunt, tantò minus moueri videbun­
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              tur, tametſi velocius verè & iuxta propor­
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              tionem æqualiter mota videri debeant: nam
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              linea ex C ducta ad punctum in linea F B,
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              quo altius extendetur, minorem faciet an­
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              gulum CBG: quare cùm F ſit idem, minor
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              erit ACB: BCG autem non augebitur, quia
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              inſenſibilis CG: ergo DCG augebitur, &
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              linea D G comparata ad D C. </s>
              <s id="s.003416">Similiter
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              & in plano, quo magis procul mouetur ali­
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              quid, eò tardius moueri videtur. </s>
              <s id="s.003417">Sint tres
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              lineæ AB, BD, DE æquales, oculus in C,
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              dico quod angulus ACB, maior eſt angulo
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              BCD, & BCD angulo DCE. nam pro­
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              portio D C ad DE, maior eſt quàm B C
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              ad BD, quia BD & DE ſunt æquales, &
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                <figure id="id.016.01.081.3.jpg" xlink:href="016/01/081/3.jpg" number="59"/>
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              CD eſt maior CB, & ſimiliter CB eſt maior
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              CA, quia angulus A eſt rectus, & CBD,
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              & CDE obtuſi: igitur CD, maior CB, &
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              CB maior CA. </s>
              <s id="s.003418">Cùm igitur angulus ABC
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              ſit maior BCD & BDC maior DCE, ſe­
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              quitur vt angulus ACB, ſit maior BCD: &
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              BCD maior DCE: igitur A B videbitur ma­
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              ior BD, & BD quàm DE. </s>
              <s id="s.003419">Quòd ſi motus ſit
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              per tranſuerſum, adhuc eadem lex manet:
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              nam angulus ACB maior eſt angulo DCE,
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              igitur linea A B maior videtur linea D E
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                <figure id="id.016.01.081.4.jpg" xlink:href="016/01/081/4.jpg" number="60"/>
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              Quòd ſi eadem diſtantia recta, ac per tranſ­
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              uerſum aliqua moueantur, quod rectà mo­
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              uebitur, velocius moueri videbitur: vt ex B
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              in D, quàm ex A in B. nam cum duæ lineæ
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              BC & BD æquales ſint duabus lineis BC &
                <lb/>
              BA, & anguli A, & CBD recti, erit ex dictis
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              angulus BCA maior angulo B C D: igitur
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              linea AB maior videbitur, quàm BD: quod
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              propoſuimus. </s>
              <s id="s.003420">Sed ſi motus ſit ex puncto eo­
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              dem, puta B rectà in E, tranſuerſim in D: dico
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              quòd BD videbitur maior BE: ſuppoſito quòd
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              ſint æquales: nam duæ lineæ BE & BD æqua­
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              les ſunt, & BC communis, & CE maior CD,
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              igitur angulus DCB maior eſt BCE: quo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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