Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <pb pagenum="444" xlink:href="026/01/480.jpg"/>
            <p id="N2AB02" type="main">
              <s id="N2AB04">Secundum & tertium hoc principio nituntur, motus impreſſi diuerſis
                <lb/>
              corporibus ab eadem potentia æquali tempore ſunt vt corpora permu­
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              tando v.g.motus impreſſus corpori vnius libræ eſt ad motum impreſſum
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              corpori quatuor librarum vt 4.ad 1.æquali ſcilicet tempore quod clarum
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              eſt, igitur graue 4.librarum decurrit tantùm quartam partem arcus, igitur
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              ſecundo tempore æquali decurrit tres alias partes, vide quę diximus l.10. </s>
            </p>
            <p id="N2AB11" type="main">
              <s id="N2AB13">Quartum nititur hoc principio ſpatia ſunt quadrata temporum, ve­
                <lb/>
              locitates ſunt vt tempora, ictus vt velocitates. </s>
            </p>
            <p id="N2AB18" type="main">
              <s id="N2AB1A">Quintum, ſextum, ſeptimum habent hoc commune principium: </s>
              <s id="N2AB1E">eadem
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              eſt proportio effectuum quæ cauſarum; </s>
              <s id="N2AB24">quippe cauſa quæ aquam excu­
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              dit eſt pondus ſuperimpoſitum, igitur cum imprimat motum pluribus
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              partibus, velociorem imprimit ſingulis, igitur ex duplici capite creſcit
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              effectus, ſcilicet ex maiore
                <expan abbr="quãtitate">quantitate</expan>
              aquæ & ex velociore motu; ſit enim
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              v.g.maior tubus quadruplus alterius cauſa eſt quadrupla, igitur duplam
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              quantitatem aquæ extrudet æquali tempore, quia duplo velociore motu. </s>
              <s id="N2AB36">
                <lb/>
              nam extrudere æqualem quantitatem duplo velociore motu eſt effectus
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              duplus; igitur duplam quantitatem extrudere duplo velociore motu eſt
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              effectus quadruplus, igitur eſt eadem proportio cauſę quæ effectus. </s>
              <s id="N2AB3F">De ſi­
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              phone idem dictum eſto, præſtat enim
                <expan abbr="eũdem">eundem</expan>
              effectum trahendo, quem
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              tubus aquæ pellendo, denique vnica vibratio chordæ tenſæ duplo velo­
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              cior eſt effectus duplus, igitur duæ duplo velociores effectus quadruplus. </s>
            </p>
            <p id="N2AB4C" type="main">
              <s id="N2AB4E">Octauum habet idem principium, nam chordæ eiuſdem longitudinis
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              ſunt vt baſes, ſit vna quadrupla alterius v. g. appendatur vtrique æquale
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              pondus, tenſio maioris eſt ſubquadrupla; </s>
              <s id="N2AB5A">igitur ſi huic appendatur pon­
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              dus quadruplum ſonum edet duplo acutiorem; igitur baſes ſunt vt qua­
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              drata ſonorum. </s>
            </p>
            <p id="N2AB62" type="main">
              <s id="N2AB64">Nonum, & decimum nituntur hoc principio, lumen minus eſt in ea
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              proportione in qua plus diſtrahitur; igitur lumina ſunt vt baſes permu­
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              tando, ſed baſes ſunt in ratione duplicata diſtantiarum, idem dico de ſono. </s>
            </p>
            <p id="N2AB6C" type="main">
              <s id="N2AB6E">Duodecimum denique idem principium habet cum ſeptimo: </s>
              <s id="N2AB72">vis enim
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              illa ſeu niſus quo adducitur arteria æquiualet ponderi; ſed de his ſatis. </s>
            </p>
            <p id="N2AB78" type="main">
              <s id="N2AB7A">
                <emph type="center"/>
                <emph type="italics"/>
              Schol. quod pertinet ad reflexionem.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2AB87" type="main">
              <s id="N2AB89">Obſeruaſti in Th.8.l.6.quoſdam noluiſſe impetum in reflexione pro­
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              duci propter compreſſionem, vel corporis reflexi, vel reflectentis, vel
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              vtriuſque, quod certè fieri non poteſt, alioquin ſit globus reflexus; </s>
              <s id="N2AB91">certè
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              comprimitur neceſſariò à puncto contactus verſus centrum quod certum
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              eſt; </s>
              <s id="N2AB99">igitur redit neceſſariò per lineam ductam à puncto contactus per
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              idem centrum quod falſum eſt vt patet; igitur eſt alia cauſa huius motus
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              ſcilicet præuius impetus. </s>
            </p>
            <p id="N2ABA1" type="main">
              <s id="N2ABA3">Quidam etiam volunt hunc impetum produci ab ipſo corpore re­
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              flectente quod tamen abſurdum eſt, alioquin per
                <expan abbr="eãdem">eandem</expan>
              lineam ductam
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              à puncto contactus per centrum globi fieret reflexio, ſic enim globus
                <lb/>
              tantùm impelli poteſt, vt demonſtratum eſt lib.1. ſed de his fatis. </s>
            </p>
          </chap>
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