Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1137F">
            <p id="N15388" type="main">
              <s id="N15396">
                <pb pagenum="66" xlink:href="026/01/098.jpg"/>
              A & B, & A feratur per lineam DE, & B per lineam ED, punctum con­
                <lb/>
              tactus ſit C, haud dubiè globus A impactus in B amittit totum ſuum im­
                <lb/>
              petum per Th.127. & 128. B, item impactus in A amittit totum ſuum per
                <lb/>
              eandem rationem; </s>
              <s id="N153A5">globus A producit impetum in B æqualem ſuo per
                <lb/>
              Th.60. item B producit in A æqualem per idem Th. igitur tantùm perit
                <lb/>
              impetus quantùm accedit; </s>
              <s id="N153AD">igitur in vtroque globo remanet æqualis im­
                <lb/>
              petus priori; igitur æquali motu vterque mouetur, quod erat dem. </s>
              <s id="N153B3">& hæc
                <lb/>
              eſt ratio veriſſima toties probatæ experientiæ. </s>
            </p>
            <p id="N153B8" type="main">
              <s id="N153BA">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              136.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N153C6" type="main">
              <s id="N153C8">
                <emph type="italics"/>
              Hinc æquale ſpatium conficiet regrediendo poſt reflexionem, quem confeciſ­
                <lb/>
              ſet motu directo, ſi propagatus fuiſſet ſine obice
                <emph.end type="italics"/>
              ; </s>
              <s id="N153D3">nam æquali motu æquali
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              tempore in eodem plano ſeu medio idem ſpatium decurritur; quid verò
                <lb/>
              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
                <emph.end type="italics"/>
              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
                <lb/>
              ad duas lineas ſit determinatus quæ conjunctæ faciant angulum, determinatur
                <lb/>
              vterque ad tertiam lineam mediam
                <emph.end type="italics"/>
              ; </s>
              <s id="N153F8">ſit enim mobile in A. v. g. globus,
                <lb/>
              cui ſimul imprimatur impetus determinatus ad lineam AD, in plano
                <lb/>
              horizontali AF; </s>
              <s id="N15404">ſi vterque ſit æqualis, ad nouam lineam determinabi­
                <lb/>
              tur AE; </s>
              <s id="N1540A">quippe tantùm debet acquirere in horizontali AB, vel in eius
                <lb/>
              parallela DE, quantum acquirit in alia horizontali AD, vel in eius pa­
                <lb/>
              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.
                <lb/>
              igitur in eodem mobili pro rata quilibet alium determinat; </s>
              <s id="N15428">igitur ſi
                <lb/>
              vterque æqualis eſt, vterque æqualiter; igitur debet tantum ſpatij acqui­
                <lb/>
              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
                <lb/>
              dupla AD, ducatur DF æqualis & parallela AC; </s>
              <s id="N1543C">linea motus noua
                <lb/>
              erit diagonalis AF, quia vtraque determinatio concurrit ad nouam pro
                <lb/>
              rata; igitur debet ſpatium acquiſitum in AC eſſe duplum acquiſiti
                <lb/>
              in AD. </s>
            </p>
            <p id="N15447" type="main">
              <s id="N15449">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              138.
                <emph.end type="center"/>
              </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
                <lb/>
              mutabitur linea; </s>
              <s id="N15463">ſed creſcet motus & ſpatium
                <emph.end type="italics"/>
              Imprimatur impetus in A,
                <lb/>
              per AB, quo dato tempore percurratur ſpatium AB; </s>
              <s id="N1546C">deinde produca­
                <lb/>
              tur ſimul alius impetus æqualis priori in eodem mobili per lineam AB; </s>
              <s id="N15472">
                <lb/>
              Dico quod eodem tempore percurretur tota AE, dupla ſcilicet AB; </s>
              <s id="N15477">
                <lb/>
              quia ſcilicet dupla cauſa non impedita duplum effectum habet per Ax.
                <lb/>
              13. num.1. duplus impetus duplum motum; igitur duplum ſpatium; ſi
                <lb/>
              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
                <emph.end type="italics"/>
              139.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1548F" type="main">
              <s id="N15491">
                <emph type="italics"/>
              Si lineæ duplicis impetus, faciunt angulum acutiorem, longius erit ſpatium
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
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