Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              tiæ AD, quæ vlteriùs producta ſine reflexione ſit, vt DE; </s>
              <s id="N1FDE9">certè deter­
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              minatio, ſeu motus eſt vt DE, vt patet: </s>
              <s id="N1FDEF">iam reflectatur in D à plano
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              BF; </s>
              <s id="N1FDF5">noua determinatio per DG eſt ad priorem, vt DT æqualis HE ad
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              DE; </s>
              <s id="N1FDFB">igitur determinatio mixta per DH eſt vt DH, ſed DH eſt æqua­
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              lis DE; </s>
              <s id="N1FE01">igitur determinatio mixta eſt æqualis priori; </s>
              <s id="N1FE05">igitur nihil im­
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              petus eſt fruſtrà; </s>
              <s id="N1FE0B">igitur nihil illius deſtruitur, quod erat demonſtrandum: </s>
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              Idem demonſtrari poteſt in quacunque lineâ; in perpendiculo verò
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              GD; </s>
              <s id="N1FE16">cùm noua per DG ſit dupla prioris per D
                <foreign lang="grc">δ</foreign>
              , id eſt, vt DY æqua­
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              lis GD, ad DA; certè mixta erit DG æqualis DA. </s>
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            <p id="N1FE21" type="main">
              <s id="N1FE23">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              46.
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              </s>
            </p>
            <p id="N1FE2F" type="main">
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              Hinc omnes lineæ reflexæ per ſe ſunt æquales,
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              quia ſunt ſemidiametri eiuſ­
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              dem circuli; </s>
              <s id="N1FE3C">dico per ſe; </s>
              <s id="N1FE40">nam per accidens ſecùs accidit; </s>
              <s id="N1FE44">hinc malè di­
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              citur reflexam perpendicularem eſſe omnium reflexarum breuiſſimam
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              per ſe; quod licèt ita eſſe videatur, illud reuerâ eſt per accidens. </s>
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            <p id="N1FE4C" type="main">
              <s id="N1FE4E">Obiiceret fortè aliquis
                <expan abbr="pilã">pilam</expan>
              reflexam nunquam ad eam aſcendere
                <expan abbr="ſubli-mitatẽ">ſubli­
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                mitatem</expan>
              ex qua priùs demiſſa fuerat. </s>
              <s id="N1FE5B">Reſp. hoc
                <expan abbr="veriſſimũ">veriſſimum</expan>
              eſſe ſed per acci­
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              dens hoc ita fieri certum eſt propter diuiſionem, attritum, compreſſio­
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              nem, ceſſionemque partium; </s>
              <s id="N1FE67">vnde pila eò altiùs aſcendit, quò durior, &
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              leuigatior eſt illa materia, ex qua conſtat, planumque ipſum leuigatius,
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              durius & ad libellam acuratius ita compoſitum, vt ſit omninò horizonti
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              parallelum: </s>
              <s id="N1FE71">adde quod planum debet eſſe prorſus immobile; ſi enim mo­
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              bile ſit, multus impetus deſtruitur. </s>
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            <p id="N1FE77" type="main">
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              47.
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              </s>
            </p>
            <p id="N1FE85" type="main">
              <s id="N1FE87">
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              Hinc licèt non poſſit eſſe motus mixtus ex duplici impetu ad diuerſas lineas
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              determinato, niſi aliquid impetus destruatur, vt constat ex dictis; </s>
              <s id="N1FE8F">poteſt ta­
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              men eſſe linea motus quaſi mixta ex duabus cum eodem ſcilicet impetu licèt
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              nihil impetus destruatur; eſt enim maximum diſcrimen vtriuſque, vt
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              patet.
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              </s>
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            <p id="N1FE9B" type="main">
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              48.
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              </s>
            </p>
            <p id="N1FEA9" type="main">
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              Ideo perpendicularis reflexa eſt reflexarum minima, non quidem per ſe,
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              ſed per accidens
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              ; </s>
              <s id="N1FEB6">quia cum perpendicularis maximum ictum infligat, fit
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              maior compreſſio partium, attritus, diuiſio; ex quibus neceſſariò ſequi­
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              tur plùs impetus deſtrui. </s>
            </p>
            <p id="N1FEBE" type="main">
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              49.
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              </s>
            </p>
            <p id="N1FECC" type="main">
              <s id="N1FECE">
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              Motus reflexus non eſt mixtus ex motu plani pellentis & alio
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              ; </s>
              <s id="N1FED7">quia reue­
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              rà planum nullum imprimit impetum, quod etiam ex dictis neceſſariò
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              ſequitur; </s>
              <s id="N1FEDF">ſed eſt veluti occaſio, ex qua reſultat noua determinatio mix­
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              ta, ratione ſcilicet impedimenti, eo modo, quo diximus; ſi enim pla­
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              num ipſum nouum impetum imprimeret mobili, non eſſet pura reflexio. </s>
              <s id="N1FEE7">
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              de qua modo agimus, ſed alia, de qua infrà. </s>
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            <p id="N1FEEB" type="main">
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              Theorema
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              50.
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              </s>
            </p>
            <p id="N1FEF9" type="main">
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              Non datur quies vlla in puncto reflexionis
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              ; </s>
              <s id="N1FF04">appello puram reflexionem, </s>
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          </chap>
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