Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              vt lineæ. </s>
              <s id="N1D55D">Hinc acquiritur velocitas æqualis, vt dictum eſt Th. 20. quia
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              ſi tantùm addit tempus per AF ſupra tempus per AE, quantum addit
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              motus per AE ſupra motum per AF, haud dubiè eſt æqualitas. </s>
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              <s id="N1D566">
                <emph type="center"/>
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              Theorema
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              24.
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              </s>
            </p>
            <p id="N1D572" type="main">
              <s id="N1D574">
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              Hinc poteſt determinari longitudo plani, quæ dato tempore percurratur,
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              v.
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              g. perpendicularis 3. pedum percurritur 30tʹ. </s>
              <s id="N1D581">igitur ſi aſſumas planum
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              inclinatum 6. pedum, percurretur 1″. </s>
              <s id="N1D586">ſi 12. 2′. </s>
              <s id="N1D589">ſi 24. 4″. </s>
              <s id="N1D58C">atque ita dein­
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              ceps; </s>
              <s id="N1D591">hinc poſſet dari planum inclinatum quod tantùm 100. annis per­
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              curretur, ſcilicet ſi longitudo plani aſſumpti ſit æque multiplex longitu­
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              dinis 12. pedum atque 100. anni vnius ſecundi; quod facilè eſt, imò da­
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              to plano cuiuſcunque longitudinis, poteſt dari tempus quodcunque quo
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              percurratur, de quo infrà. </s>
            </p>
            <p id="N1D59D" type="main">
              <s id="N1D59F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              25.
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              </s>
            </p>
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              Determinari poteſt quantum ſpatium conficiat mobile in plano inclinato;
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              dum conficit perpendicularem
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              ; </s>
              <s id="N1D5B8">ſit enim perpendiculum AE, inclinata AC; </s>
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              ducatus, EB perpendicularis in AC; </s>
              <s id="N1D5C1">dico quod eodem tempore percur­
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              ret AE & AB, quod demonſtro; </s>
              <s id="N1D5C7">quia triangula EAB, EAC ſunt pro­
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              portionalia: </s>
              <s id="N1D5CD">igitur AB eſt ad AE vt AE ad AC; </s>
              <s id="N1D5D1">igitur motus in AB
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              eſt ad motum in DE vt AB ad AE; </s>
              <s id="N1D5D7">igitur ſi tempora aſſumantur æqua­
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              lia ſpatia erunt vt motus, vt patet, id eſt motu ſubduplo acquiritur ſpa­
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              tium ſubduplum: </s>
              <s id="N1D5DF">nec alia eſſe poteſt regula tarditatis, igitur ſpatia
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              erunt vt AB ad AE, id eſt in ratione motuum; </s>
              <s id="N1D5E5">licèt enim motus veloci­
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              tas creſcat, attamen ſi accipiatur velocitas compoſita ex ſubdupla maxi­
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              mæ & minimæ, percurretur AE motu æquabili æquali tempore; ſed
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              compoſita ex ſubdupla maximæ & minimæ per AB habet
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              ra­
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              tionem ad priorem compoſitam, quàm motus per AB ad motum per AE.
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              & hic quam habet AB ad AE. </s>
              <s id="N1D5F8">Sed hæc ſunt clara. </s>
            </p>
            <p id="N1D5FB" type="main">
              <s id="N1D5FD">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              26.
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              </s>
            </p>
            <p id="N1D609" type="main">
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              Hinc æquali tempore deſcendit per inclinatam BE,
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              ſit enim inclinata
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              AG, perpendicularis AE; ſit quoque FC perpendicularis in AG, & FD,
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              in CF. </s>
              <s id="N1D619">Dico quòd eo tempore, quo conficit CD perpendicularem
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              conficit CF inclinatam per Th.24. eſt enim DF perpendicularis in IC.
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              ſicut FC in AG, ſed CD eſt æqualis AF, vt patet. </s>
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            <p id="N1D620" type="main">
              <s id="N1D622">
                <emph type="center"/>
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              Theorema
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              27.
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              </s>
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            <p id="N1D62E" type="main">
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              Hinc cognito ſpatio quod percurritur in plano inclinato, cognoſcitur ſpa­
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              tium quod conficeretur tempore æquali in perpendiculari,
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              ſit enim tempus
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              quo percurritur AC; ducatur ex C perpendicularis CF. </s>
              <s id="N1D63E">Dico confici AF
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              in perpendiculari eo tempore, quo percurritur AC: </s>
              <s id="N1D644">vel ſit inclinata C
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              F, ducatur ex F perpendicularis FD; percurretur CD eo tempore, quo
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              percurritur CF, quæ probantur per Th.24.& 25. </s>
            </p>
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