Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              A & B, & A feratur per lineam DE, & B per lineam ED, punctum con­
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              tactus ſit C, haud dubiè globus A impactus in B amittit totum ſuum im­
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              petum per Th.127. & 128. B, item impactus in A amittit totum ſuum per
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              eandem rationem; </s>
              <s id="N153A5">globus A producit impetum in B æqualem ſuo per
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              Th.60. item B producit in A æqualem per idem Th. igitur tantùm perit
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              impetus quantùm accedit; </s>
              <s id="N153AD">igitur in vtroque globo remanet æqualis im­
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              petus priori; igitur æquali motu vterque mouetur, quod erat dem. </s>
              <s id="N153B3">& hæc
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              eſt ratio veriſſima toties probatæ experientiæ. </s>
            </p>
            <p id="N153B8" type="main">
              <s id="N153BA">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              136.
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              </s>
            </p>
            <p id="N153C6" type="main">
              <s id="N153C8">
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              Hinc æquale ſpatium conficiet regrediendo poſt reflexionem, quem confeciſ­
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              ſet motu directo, ſi propagatus fuiſſet ſine obice
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              ; </s>
              <s id="N153D3">nam æquali motu æquali
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              tempore in eodem plano ſeu medio idem ſpatium decurritur; quid verò
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              accidat in aliis punctis contactus dicemus infrà, cum de reflexione. </s>
            </p>
            <p id="N153DB" type="main">
              <s id="N153DD">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              137.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N153E9" type="main">
              <s id="N153EB">
                <emph type="italics"/>
              Si in eodem mobili duplex impetus producatur, quorum vterque ſeorſim
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              ad duas lineas ſit determinatus quæ conjunctæ faciant angulum, determinatur
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              vterque ad tertiam lineam mediam
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              ; </s>
              <s id="N153F8">ſit enim mobile in A. v. g. globus,
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              cui ſimul imprimatur impetus determinatus ad lineam AD, in plano
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              horizontali AF; </s>
              <s id="N15404">ſi vterque ſit æqualis, ad nouam lineam determinabi­
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              tur AE; </s>
              <s id="N1540A">quippe tantùm debet acquirere in horizontali AB, vel in eius
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              parallela DE, quantum acquirit in alia horizontali AD, vel in eius pa­
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              rallela BE; </s>
              <s id="N15412">igitur debet ferri in E; </s>
              <s id="N15416">igitur per diagonalem AE; </s>
              <s id="N1541A">clara eſt
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              omninò experientia; </s>
              <s id="N15420">cuius ratio à priori hæc eſt, quòd ſcilicet impetus
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              poſſit determinari ad quamlibet lineam ab alio impetu per Th.118.119.
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              igitur in eodem mobili pro rata quilibet alium determinat; </s>
              <s id="N15428">igitur ſi
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              vterque æqualis eſt, vterque æqualiter; igitur debet tantum ſpatij acqui­
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              ri in linea vnius, quantum in linea alterius. </s>
            </p>
            <p id="N15430" type="main">
              <s id="N15432">Si verò impetus per AC ſit duplus impetus per AD; </s>
              <s id="N15436">accipiatur AC
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              dupla AD, ducatur DF æqualis & parallela AC; </s>
              <s id="N1543C">linea motus noua
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              erit diagonalis AF, quia vtraque determinatio concurrit ad nouam pro
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              rata; igitur debet ſpatium acquiſitum in AC eſſe duplum acquiſiti
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              in AD. </s>
            </p>
            <p id="N15447" type="main">
              <s id="N15449">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              138.
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              </s>
            </p>
            <p id="N15455" type="main">
              <s id="N15457">
                <emph type="italics"/>
              Si ſit duplex impetus in eodem mobili ad
                <expan abbr="eãdem">eandem</expan>
              lineam determinatus, non
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              mutabitur linea; </s>
              <s id="N15463">ſed creſcet motus & ſpatium
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              Imprimatur impetus in A,
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              per AB, quo dato tempore percurratur ſpatium AB; </s>
              <s id="N1546C">deinde produca­
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              tur ſimul alius impetus æqualis priori in eodem mobili per lineam AB; </s>
              <s id="N15472">
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              Dico quod eodem tempore percurretur tota AE, dupla ſcilicet AB; </s>
              <s id="N15477">
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              quia ſcilicet dupla cauſa non impedita duplum effectum habet per Ax.
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              13. num.1. duplus impetus duplum motum; igitur duplum ſpatium; ſi
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              verò ſit triplus impetus, triplum erit ſpatium, &c. </s>
            </p>
            <p id="N15481" type="main">
              <s id="N15483">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              139.
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              </s>
            </p>
            <p id="N1548F" type="main">
              <s id="N15491">
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              Si lineæ duplicis impetus, faciunt angulum acutiorem, longius erit ſpatium
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              </s>
            </p>
          </chap>
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