Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <pb pagenum="423" xlink:href="026/01/457.jpg"/>
            <p id="N297F1" type="main">
              <s id="N297F3">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              2.
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              </s>
            </p>
            <p id="N29800" type="main">
              <s id="N29802">Hinc etiam ad Mechanicam reduci poteſt inuentio praxis prædictæ; </s>
              <s id="N29806">
                <lb/>
              ſit enim triangulum AGD; </s>
              <s id="N2980B">diuidatur AD in tres partes in BC; </s>
              <s id="N2980F">du­
                <lb/>
              cantur BI, CH, parallelæ DG, itemque IE, HF parallelæ AD; </s>
              <s id="N29815">ſuſti­
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              neaturque prædictum planum erectum in C, ſtabit in æquilibrio; </s>
              <s id="N2981B">cùm
                <lb/>
              enim momenta ponderum æqualium ſint vt diſtantiæ, rectangulo CE
                <lb/>
              reſpondet æquale, & æquediſtans CI, itemque trianguli EHK, æquale
                <lb/>
              & æquediſtans IKD, triangulo demum GHE, triangulum ſubduplum
                <lb/>
              AIB, cuius momentum adæquat momentum alterius dupli GHB; quia
                <lb/>
              diſtantia eſt dupla. </s>
            </p>
            <p id="N29829" type="main">
              <s id="N2982B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              4.
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              </s>
            </p>
            <p id="N29838" type="main">
              <s id="N2983A">
                <emph type="italics"/>
              Si Pyramis, cuius axis ſit parallela horizonti, cadat deorſum; </s>
              <s id="N29840">centrum
                <lb/>
              percuſſionis eſt in linea derectionis, quæ ſcilicet ducetur deorſum à centro gra­
                <lb/>
              tatis,
                <emph.end type="italics"/>
              quod eodem modo demonſtratur, quo ſuprà; </s>
              <s id="N2984B">eſt autem centrum
                <lb/>
              grauitatis illud punctum, quod ita axem diuidit, vt ſegmentum verſus
                <lb/>
              baſim ſit ſubtriplum alterius verſus verticem, quod multi hactenus de­
                <lb/>
              monſtrarunt, ſcilicet Commandinus, Valerius, Steuinus, Galileus; ſit
                <lb/>
              enim conus ENI, ſit axis AI diuiſus in 4. partes æquales BCD, pa­
                <lb/>
              rallelus horizonti, ſuſtineatur in M, ſtabit in æquilibrio. </s>
            </p>
            <p id="N29859" type="main">
              <s id="N2985B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N29868" type="main">
              <s id="N2986A">
                <emph type="italics"/>
              Si quodlibet aliud planum, vel corpus, deorſum cadat, motu recto, cen­
                <lb/>
              trum percuſſionis eſt in linea directionis
                <emph.end type="italics"/>
              ; </s>
              <s id="N29875">quod eodem modo probatur, quo
                <lb/>
              ſuprà: </s>
              <s id="N2987B">quodnam verò ſit centrum grauitatis omnium corporum, plano­
                <lb/>
              rum, figurarum, hîc non diſputamus; conſulantur authores citati, quibus
                <lb/>
              addatur La Faille, qui egregiè centrum grauitatis partium circuli, &
                <lb/>
              Eclipſis demonſtrauit. </s>
            </p>
            <p id="N29885" type="main">
              <s id="N29887">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N29894" type="main">
              <s id="N29896">
                <emph type="italics"/>
              Si linea circa centrum immobile mobilis, voluatur, centrum percuſſionis
                <lb/>
              non eſt centrum grauitatis
                <emph.end type="italics"/>
              ; </s>
              <s id="N298A1">ſit enim linea AD, quæ voluatur circa cen­
                <lb/>
              trum A; </s>
              <s id="N298A7">diuidatur bifariam in G, punctum G eſt centrum grauitatis: vt
                <lb/>
              conſtat; </s>
              <s id="N298AD">non tamen eſt centrum percuſſionis, quia in ſegmento GD eſt
                <lb/>
              quidem æquale momentum ratione diſtantiæ, ſed maius ratione impe­
                <lb/>
              tus; quippe GD mouetur velociùs, quàm GA vt certum eſt. </s>
            </p>
            <p id="N298B5" type="main">
              <s id="N298B7">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N298C3" type="main">
              <s id="N298C5">
                <emph type="italics"/>
              In hac eadem hypotheſi centrum percuſſionis non eſt idem cum centro im­
                <lb/>
              preſſionis
                <emph.end type="italics"/>
              ; </s>
              <s id="N298D0">diuidatur enim AD in M, ita vt AM, ſit media propor­
                <lb/>
              tionalis inter AG, & AD; </s>
              <s id="N298D6">certè M eſt centrum impreſſionis, vt de­
                <lb/>
              monſtratum eſt lib. 1.non tamen eſt centrum percuſſionis; </s>
              <s id="N298DC">quia ſeg­
                <lb/>
              mentum MA habet quidem æqualem impetum cum ſegmento MD; </s>
              <s id="N298E2">ha­
                <lb/>
              bet tamen maius momentum, quia maiorem habet diſtantiam; igitur
                <lb/>
              non erit æquilibrium in M. </s>
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