Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N15AC3">
            <pb pagenum="95" xlink:href="026/01/127.jpg"/>
            <p id="N16E2A" type="main">
              <s id="N16E2C">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16E38" type="main">
              <s id="N16E3A">Obſeruabis primò numerum inſtantium non poſſe à quoquam ſenſu
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              percipi, nec in calculos vocari, vt patet; </s>
              <s id="N16E40">vnde Theoremata non poſſunt
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              ad praxim reduci defectu huius cognitionis; quam ſupra adhibui hypo­
                <lb/>
              theſeos loco. </s>
            </p>
            <p id="N16E48" type="main">
              <s id="N16E4A">Secundò non poteſt ad amuſſim tempus cum tempore componi ad
                <lb/>
              æqualitatem, vel aliam datam rationem; </s>
              <s id="N16E50">licèt enim vnum tempus ſenſi­
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              bile haberet mille inſtantia ſupra aliud; </s>
              <s id="N16E56">illa tamen inæqualitas ſenſu
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              minimè perciperetur; idem dico de aliis rationibus, in quo, ni fallor,
                <lb/>
              maximè peccant, qui temporum æqualitatem perfectam obſeruari poſſe
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              contendunt. </s>
            </p>
            <p id="N16E60" type="main">
              <s id="N16E62">Tertiò, idem dico de percuſſionum ratione; </s>
              <s id="N16E66">quippe non poteſt ſenſu
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              percipi inæqualitas duarum percuſſionum, licèt vires vnius præualeant
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              mille punctis ſeu gradibus inſenſibilibus; </s>
              <s id="N16E6E">quippe non poteſt diſtingui
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              ab alia niſi vel ex ſpatio; </s>
              <s id="N16E74">atqui diſcerni non poteſt, an vnum ſpatium
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              ſuperet aliud mille punctis; vel ex ſono; </s>
              <s id="N16E7A">atqui ſonus poteſt diuidi in in­
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              finitos ferè gradus ſenſu minimè perceptibiles; </s>
              <s id="N16E80">igitur nulla hypotheſis
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              in his experimentis ſtatui poteſt, quibus æqualitas vel temporum, vel
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              ſpatiorum cognoſci dicatur; </s>
              <s id="N16E88">nec dicas aliquot inſtantia parùm diſeri­
                <lb/>
              minis importare, nam cùm ſingulis inſtantibus fiat æqualis impetus ac­
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              ceſſio, mille inſtantia reddunt percuſſionem millecuplam grauitationis; </s>
              <s id="N16E90">
                <lb/>
              hinc certum eſt ex numero inſtantium cognito cognoſci tantùm poſſe
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              numerum punctorum, & viciſſim; </s>
              <s id="N16E97">at certè neuter ſenſu percipi poteſt; ne­
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              que tanti eſt hoc ſcire. </s>
            </p>
            <p id="N16E9D" type="main">
              <s id="N16E9F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              59.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16EAB" type="main">
              <s id="N16EAD">
                <emph type="italics"/>
              Hinc ſi corpus graue deſcenderet motu æquabili eoque æquali motui primi
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              inſtantis; </s>
              <s id="N16EB5">certè vix modicum ſpatium post multos annos decurreret
                <emph.end type="italics"/>
              ; </s>
              <s id="N16EBC">ſuppo­
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              namus enim quod plures habent, licèt accuratè experimento ſubii­
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              ci non poſſit, ſcilicet vno ſecundo minuto temporis decurri à corpore
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              graui deorſum 12. pedes ſpatij; </s>
              <s id="N16EC6">in ſecundo minuto ſupponamus eſſe
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              mille inſtantia, quamuis infinita penè contineat; </s>
              <s id="N16ECC">ſitque in primo in­
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              ſtanti motus vnus gradus impetus; </s>
              <s id="N16ED2">ſic enim vocetur illa pars impetus, que
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              producitur primo inſtanti; </s>
              <s id="N16ED8">certè poſt mille inſtantia motus, erunt mille
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              gradus impetus; </s>
              <s id="N16EDE">iam vcrò ſi accipiatur ſubduplum maximæ & minimæ
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              velocitatis; </s>
              <s id="N16EE4">id eſt vnius gradus, & mille graduum, ſcilicet 500. 1/2 tri­
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              buaturque motui æquabili; </s>
              <s id="N16EEA">haud dubiè vno fecundo minuto percur­
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              rentur 12. pedes ſpatij per Th. 46. Igitur ſi cum velocitate vt 500, 1/2
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              percurrentur 12. pedes 1.minuto, cum velocitate vt 1. percurrentur
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              12. pedes 500.ſecundis minutis, &; 30. tertiis; </s>
              <s id="N16EF4">ſi verò accipiantur plura
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              inſtantia, v.g. 1000000.inſtantia, percurrentur 12. pedes 500000. ſe­
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              cundis minutis; </s>
              <s id="N16EFE">ſi verò 1000000000000. percurremur 500000000000.
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              ſecundis, id eſt 8333333333. minutis, id eſt 138888888. horis </s>
            </p>
          </chap>
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