Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N1DBCB">Sic etiam eo tempore, quo in perpendiculo conficit AD conficit ſub­
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              duplam ſcilicet AF, ſed hæc ſunt clara. </s>
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            <p id="N1DBD0" type="main">
              <s id="N1DBD2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              38.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1DBDE" type="main">
              <s id="N1DBE0">
                <emph type="italics"/>
              Quando proiicitur mobile per planum inclinatum ſurſum in ea proportione
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              proiicitur longiùs, quò inclinata ipſa longior eſt perpendiculari.
                <emph.end type="italics"/>
              v.g. ſi proii­
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              citur per BA in verticali, illa eadem
                <expan abbr="potẽtia">potentia</expan>
              quæ proiicit in A ex B, pro­
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              iiciet
                <expan abbr="quoq;">quoque</expan>
              ex F in A, ex M in A, atque ita deinceps ex ſingulis punctis
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              horizontalis BM; </s>
              <s id="N1DBFB">ratio eſt, quia in ea proportione deſtruitur impetus
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              per BA, in qua motus per AB deſcendit; </s>
              <s id="N1DC01">nam impetus innatus deor­
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              ſum quaſi trahit mobile graue; </s>
              <s id="N1DC07">impetus verò impreſſus ſurſum attollit; </s>
              <s id="N1DC0B">
                <lb/>
              igitur pugnant pro rata, vt ſæpè diximus in tertio libro, & alibi: </s>
              <s id="N1DC10">ſimiliter
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              in inclinata FA impetus innatus quaſi reducit mobile deorſum dum
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              impreſſus violentus ſurſum promouet; </s>
              <s id="N1DC18">igitur ſi impetus innatus per AB,
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              & per AT æqualem vim haberet, haud dubiè æquale ſpatium contine­
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              ret mobile projectum per BA & FA; </s>
              <s id="N1DC20">nam eadem potentia cum æquali
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              reſiſtentia idem præſtat & inæqualiter deſcendit per AB AF, & motus
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              per AF eſt ad motum per AB, vt AB ad AF. v.g. ſubduplus; </s>
              <s id="N1DC2A">igitur re­
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              ſiſtentia per BA erit dupla reſiſtentiæ per FA; </s>
              <s id="N1DC30">igitur ſpatium per FA
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              erit duplum; </s>
              <s id="N1DC36">igitur ex F aſcendet in A, quo cum eo impetu ex B aſcendet
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              in A, ſuppoſita eadem potentia; </s>
              <s id="N1DC3C">idem etiam dicendum de aliis punctis
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              horizontalis BM: </s>
              <s id="N1DC42">præterea ille impetus ſufficit ad motum ſurſum per
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              FA, qui accipitur in deſcenſu AF, vt conſtat ex dictis; </s>
              <s id="N1DC48">itemque ſufficit
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              ad motum ſurſum per BA qui acquiritur in deſcenſu AB; ſed æqualis ve­
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              locitas, vel impetus acquiritur in vtroque deſcenſu AB AF per Th. 20.
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              igitur idem impetus ſufficit ad deſcenſum BA FA. </s>
            </p>
            <p id="N1DC52" type="main">
              <s id="N1DC54">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              39.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1DC60" type="main">
              <s id="N1DC62">
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              Hinc dicendum eſt impetum naturalem per inclinatam FA vel MA non
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              ſurſum intendi, ſeu creſcere
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              ; </s>
              <s id="N1DC6D">alioqui ex A mobile deſcenderet citiùs in F,
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              poſtquàm ex F proiectum eſſet in A, quàm ſi tantùm ex A in F demit­
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              teretur, quod eſt contra experientiam; adde quòd impetus naturalis ſur­
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              ſum non creſcit, vt iam ſæpè dictum eſt. </s>
            </p>
            <p id="N1DC77" type="main">
              <s id="N1DC79">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              40.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1DC85" type="main">
              <s id="N1DC87">
                <emph type="italics"/>
              Destruitur aliquid impetus impreſſi in mobili per planum inclinatum.
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              Probatur, quia tandem quieſcit mobile; </s>
              <s id="N1DC91">igitur ceſſat motus; </s>
              <s id="N1DC95">igitur & im­
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              petus: </s>
              <s id="N1DC9B">nec dicas id fieri ab aëre, vel plani ſcabritie; </s>
              <s id="N1DC9F">nam, ſi hoc eſſet,
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              æquale ſpatium conficeret in FA & LA; </s>
              <s id="N1DCA5">quippe æqualis portio plani
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              æqualiter reſiſtit; Idem dico de aëre; igitur deſtruitur impetus impreſ­
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              ſus ab impetu naturali. </s>
            </p>
            <p id="N1DCAD" type="main">
              <s id="N1DCAF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              41.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1DCBB" type="main">
              <s id="N1DCBD">
                <emph type="italics"/>
              Destruitur tantùm pro rata, hoc eſt in ratione, quam habet perpendiculum
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              ad inclinatam.
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              v.g. ſit perpendiculum FCA; </s>
              <s id="N1DCCA">haud dubiè ſi non deſtrue­
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              retur motus ſurſum cum eo gradu impetus, quo ex F aſcendit in C motu
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              retardato, aſcenderet in A motu æquabili, & eodem tempore; </s>
              <s id="N1DCD2">igitur eo </s>
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