Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N1FBB5">
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              vel inæqualis, ſi æqualis, certè toto motu multatur globus impactus; </s>
              <s id="N1FBBE">ſi
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              inæqualis, vel minor, vel maior; </s>
              <s id="N1FBC4">ſi minor, certè eſt aliquis motus refle­
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              xus æqualis priori minùs ea parte, quæ reflectenti imprimitur, donec
                <lb/>
              tandem nullus imprimatur motus; </s>
              <s id="N1FBCC">tunc enim reflexus eſt priori æqua­
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              lis; ſi verò maior imprimitur, fortè nullus eſt reflexus poſito ſcilicet ra­
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              dio incidentiæ perpendiculari, minor tamen erit idem motus globi im­
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              pacti vlteriùs per eandem lineam propagati. </s>
              <s id="N1FBD6">v.g.ſi ſit duplus detrahitur
                <lb/>
              priori motui 1/2, ſi triplus 1/3, ſi quadruplus 1/4, atque ita deinceps; ſi de­
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              nique infinities velocior ex ſuppoſitione impoſsibili detrahitur aliquid,
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              quod habet ad priorem motum proportionem minoris inæqualitatis in­
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              finitam. </s>
            </p>
            <p id="N1FBE2" type="main">
              <s id="N1FBE4">Decimò, ex his rectè concludi poteſt non produci infinita puncta im­
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              petus, nec eſſe infinitas partes ſubjecti actu; </s>
              <s id="N1FBEA">alioqui punctum mouere­
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              tur motu infinito, qui repugnat: </s>
              <s id="N1FBF0">præterea nullum eſſet corpus quamtum­
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              nis magnum, cui modico ictu non imprimatur impetus, ſi impetus con­
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              flat infinitis partibus; </s>
              <s id="N1FBF8">quare in vtraque progreſsione ſiſtendum eſt;
                <lb/>
              primò in nulla ceſsione & tota reſiſtentia, cum ſcilicet plura ſunt pun­
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              cta ſubjecti, quàm impetus. </s>
              <s id="N1FC00">Secundò cum reflectens tantùm conſtat
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              vnico puncto, in quo ſcilicet impetus finitus impreſſus præſtat velociſ­
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              ſimum motum quem præſtare poteſt; </s>
              <s id="N1FC08">licèt enim dato quocunque motu
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              poſsit dari velocior, non tamen cum dato impetu finito determinato ſi­
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              ne acceſsione alterius; ſed iam interruptam noſtrorum Theorematum ſe­
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              riem proſequamur. </s>
            </p>
            <p id="N1FC12" type="main">
              <s id="N1FC14">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              41.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1FC20" type="main">
              <s id="N1FC22">
                <emph type="italics"/>
              Determinatio noua cuiuſlibet alterius anguli incidentiæ obliqui, vel acuti,
                <lb/>
              eſt ad priorem, vt duplum ſinus recti eiuſdem anguli ad ſinum totum.
                <emph.end type="italics"/>
              v. g.
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              ſit radius incidentiæ AD in
                <expan abbr="planũ">planum</expan>
              immobile BDF: </s>
              <s id="N1FC35">dico nouam de­
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              terminationem eſſe ad priorem, vt duplum AB, id eſt BC ad DA. De­
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              monſtro; </s>
              <s id="N1FC3D">cum enim ictus per AD obliquam ſit ad ictum per AB per­
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              pendicularem, vt AB ad AD, vt conſtat ex dictis, tùm ſupra, tùm in lib.
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              de planis inclinatis; </s>
              <s id="N1FC45">ictus enim habent eam proportionem, quam ha­
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              bent grauitationes; </s>
              <s id="N1FC4B">ſed grauitatio in inclinatam AD eſt ad grauitatio­
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              nem in horizontalem DB, vt DB ad DA; </s>
              <s id="N1FC51">igitur ictus inflictus plano
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              DB per inclinatam AD eſt ad inflictum per ipſam perpendicularem
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              GD vt PR æqualem AB ad DA; </s>
              <s id="N1FC59">nam ictus in planum AD per GD
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              idem eſt cum ictu in DB per AD: </s>
              <s id="N1FC5F">ſimiliter ſit incidens KD, ſitque an­
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              gulus IDR æqualis KDG, ictus in ID per GD eſt æqualis ictui in
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              DR per KD; </s>
              <s id="N1FC67">ſunt enim GDI, KDR æquales; </s>
              <s id="N1FC6B">ſed ictus in ID eſt, vt
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              grauitatio in eandem ID; </s>
              <s id="N1FC71">hæc autem in inclinatam DI, ad aliam in
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              horizontalem DR vt DR ad DI; </s>
              <s id="N1FC77">igitur ictus in DI per GD eſt ad
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              ictum in DR per GD, vt DR vel LI ad ID; </s>
              <s id="N1FC7D">ſed K
                <foreign lang="grc">β</foreign>
              eſt æqualis IL; </s>
              <s id="N1FC85">
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              nam arcus KG & IR ſunt æquales; </s>
              <s id="N1FC8A">igitur ictus per GD in DR eſt ad
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              ictum in DR per KD eſt vt DK ad K
                <foreign lang="grc">β</foreign>
              ; ſed impedimentum eſt vt ictus. </s>
              <s id="N1FC94">
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              reſiſtentia vt impedimentum, determinatio noua, vt reſiſtentia; </s>
              <s id="N1FC99">igitur </s>
            </p>
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