Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              inclinato non acceleratur motus cum eadem acceſſione, qua ſcilicet in­
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              tenditur in perpendiculari deorsùm; </s>
              <s id="N1ABF3">nec enim tam citò deſcendit mobi­
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              le, quod certum eſt, & in lib.de planis inclinatis demonſtrabo, cum tan­
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              tùm hîc ſupponam ad inſtar phyſicæ hypotheſeos; adde quod idem mo­
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              bile proiectum per horizontalem in data diſtantia minùs ferit, quàm pro­
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              iectum per inclinatam deorſum. </s>
            </p>
            <p id="N1ABFF" type="main">
              <s id="N1AC01">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              30.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1AC0D" type="main">
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              Itaque motus prædictus mixtus est ex violento retardato & naturali acce­
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              lerato, non eo quidem modo quo acceleratur in perpendiculari, ſed eo quo acce­
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              leratur in plano inclinato, quod hic ſingulis
                <expan abbr="inſtãtibus">inſtantibus</expan>
              mutatur
                <emph.end type="italics"/>
              ; </s>
              <s id="N1AC20">probatur pri­
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              mo, quia inductione facta non
                <expan abbr="cõſtat">conſtat</expan>
              ex omnibus aliis; </s>
              <s id="N1AC2A">ſunt enim tantùm
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              9 combinationes, quia ſunt tres differentiæ, ſcilicet æquabilibus, retarda­
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              tio, acceleratio; </s>
              <s id="N1AC32">igitur ſi 3.ducantur in 3. ſunt 9. ſunt autem prima ex na­
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              turali, quem deinceps voco primum, æquabili & violento (quem voca­
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              bo ſecundum) æquabili, ſecunda ex prima æquabili & ſecundo accelera­
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              to, tertia ex primo æquabili & ſecundo retardato, quarta ex primo acce­
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              lerato & ſecundo æquabili, quinta ex primo accelerato & ſecundo acce­
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              lerato, ſexta ex primo accelerato & ſecundo retardato, ſeptima ex primo
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              retardato & ſecundo æquabili, octaua ex primo retardato & ſecundo ac­
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              celerato, nona ex primo retardato, & ſecundo retardato: non eſt prima
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              per Th.22. non ſecunda per Th. 21. non tertia per Th. 24. non quarta,
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              per Th.26. non quinta per T.2h.23. non ſexta per Th.29. eo modo quo
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              diximus, non ſeptima per Th. 25. non octaua per Th. 25. non denique
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              nona per Th.25. igitur debet eſſe alius motus, ſed alius excogitari non
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              poteſt præter illum quem adduxi. </s>
              <s id="N1AC4E">Probatur ſecundò, quia non minùs
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              impeditur ab impetu violento impetus naturalis acquiſitus quàm à pla­
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              no inclinato vt iam dictum eſt; </s>
              <s id="N1AC56">igitur acceleratur quidem ſed minùs; </s>
              <s id="N1AC5A">nec
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              enim vterque eſt æquabilis, nam linea eſſet recta per Th.4. & naturalis
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              creſcit quia deſcendit deorſum; præterea per Th.24. non poteſt impetus
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              naturalis eſſe æquabilis, igitur non poteſt violentus eſſe vel æquabilis,
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              vel acceleratus, igitur retardatus. </s>
            </p>
            <p id="N1AC66" type="main">
              <s id="N1AC68">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              31.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1AC74" type="main">
              <s id="N1AC76">
                <emph type="italics"/>
              Motus naturalis acceleratus ex quo hic motus conſtat acceleratur in alia
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              proportione quàm fit ea, in qua acceleratur, dum per idem planum inclina­
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              tum deſcendit
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              ; </s>
              <s id="N1AC83">probatur, quia ſingulis inſtantibus mutatur inclinatio pla­
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              ni ſeu lineæ; igitur ſingulis inſtantibus mutatur proportio accelera­
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              tionis. </s>
            </p>
            <p id="N1AC8B" type="main">
              <s id="N1AC8D">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              32.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1AC99" type="main">
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              Hinc perpetuò creſcit proportio accelerationis, quia ſemper creſcit inclina­
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              tio plani,
                <emph.end type="italics"/>
              vt patet, cùm enîm ſit linea curua per hyp. </s>
              <s id="N1ACA5">1. quo magis incur­
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              uatur, accedit propiùs ad perpendicularem, igitur motus magis accele­
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              ratur. </s>
            </p>
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