Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              deſtruitur etiam hic impetus per principium commune, ne aliquid ſit
                <lb/>
              fruſtrà. </s>
            </p>
            <p id="N1A07F" type="main">
              <s id="N1A081">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              71.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A08D" type="main">
              <s id="N1A08F">
                <emph type="italics"/>
              Linea motus ſurſum determinatur à potentia motrice
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              ; </s>
              <s id="N1A098">probatur, quia hæc
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              determinat impetum productum in manu vel in organo; </s>
              <s id="N1A09E">hic verò im­
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              petum, quem producit in mobili ſursùm projecto; patet, quia nulla eſt
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              alia cauſa applicata. </s>
            </p>
            <p id="N1A0A6" type="main">
              <s id="N1A0A8">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              72.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A0B4" type="main">
              <s id="N1A0B6">
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              Tandem duo impetus violentus, ſcilicet, & innatus ad æqualitatem perue­
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              nirent, ſi vel vnus gradus violenti eſſet æqualis perfectionis cum innato
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              ; </s>
              <s id="N1A0C1">cum
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              enim detrahatur ſemper pars aliquota alicuius totius, tandem perueni­
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              tur ad vltimam; </s>
              <s id="N1A0C9">igitur ſint 100. gradus impetus violenti, quorum quili­
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              bet ſit æqualis impetui innato; </s>
              <s id="N1A0CF">certè cum temporibus æqualibus æqua­
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              lis gradus impetus deſtruatur; </s>
              <s id="N1A0D5">accipiatur illud tempus, in quo deſtrui­
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              tur vnus, haud dubiè 100. æqualibus temporibus deſtruentur omnes 100.
                <lb/>
              igitur 99. inſtantibus deſtruentur 99. gradus; </s>
              <s id="N1A0DD">igitur ſupereſt vnus; igitur
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              duo illi impetus perueniunt tandem ad æqualitatem. </s>
            </p>
            <p id="N1A0E3" type="main">
              <s id="N1A0E5">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              73.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A0F1" type="main">
              <s id="N1A0F3">
                <emph type="italics"/>
              Vbi vterque perueniſſet ad æqualitatem, non eſſet potior ratio cur mobile mo­
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              ueretur ſursùm quàm deorſum inſtanti ſequenti
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              ; </s>
              <s id="N1A0FE">probatur, quia tàm gra­
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              dus impetus innati exigit motum deorſum quàm gradus impetus vio­
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              lenti ſursùm; igitur neuter habebit motum per Th.133.l. </s>
              <s id="N1A106">1. </s>
            </p>
            <p id="N1A10A" type="main">
              <s id="N1A10C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              74.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A118" type="main">
              <s id="N1A11A">
                <emph type="italics"/>
              Hinc ipſo inſtanti, quo eſſet æqualitas, eſſet adhuc motus
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              ; </s>
              <s id="N1A123">quia inſtanti
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              immediatè antecedenti erant duo gradus impetus violenti, & vnus in­
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              nati; igitur duo illi præualent pro inſtanti ſequenti, in quo eſt æqua­
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              litas. </s>
            </p>
            <p id="N1A12D" type="main">
              <s id="N1A12F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              75.
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              </s>
            </p>
            <p id="N1A13B" type="main">
              <s id="N1A13D">
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              Itaque quieſceret mobile ipſo ſtatim inſtanti, quod inſtanti æqualitatis ſuc­
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              cedit
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              ; patet, quia neuter impetus pro illo inſtanti præualere poſſet per
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              Th. 73. </s>
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            <p id="N1A14A" type="main">
              <s id="N1A14C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              76.
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              </s>
            </p>
            <p id="N1A158" type="main">
              <s id="N1A15A">
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              Igitur inſtanti quietis nullus eſſet ampliùs impetus violentus
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              ; </s>
              <s id="N1A163">cum enim
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              ſingulis inſtantibus deſtruatur vnus gradus, v. g inſtanti illo, quod ſe­
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              quitur poſt inſtans æqualitatis, deſtruitur ille gradus, qui ſupereſt; </s>
              <s id="N1A16D">nec
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              poteſt vel plùs, vel minùs deſtrui; </s>
              <s id="N1A173">pugnant enim pro rata; quod certè
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              cuiquam fortè paradoxor videbitur, ſcilicet nullum tune eſſe motum
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              propter pugnam, cum tamen nulla eſt amplius pugna. </s>
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            <p id="N1A17B" type="main">
              <s id="N1A17D">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              77.
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              </s>
            </p>
            <p id="N1A189" type="main">
              <s id="N1A18B">
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              Quies illa duraret tantùm vno inſtanti,
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              probatur, quia cum inſtanti quie­
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              tis ſit tantùm impetus innatus per Th. 76. certè non impeditur quomi­
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              nus habeat motum pro inſtanti ſequenti, quem reuerà exigit; </s>
              <s id="N1A198">igitur pro </s>
            </p>
          </chap>
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