Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1137F">
            <p id="N13C64" type="main">
              <s id="N13CA1">
                <pb pagenum="43" xlink:href="026/01/075.jpg"/>
              tione lineæ non puncti; </s>
              <s id="N13CAB">accipiatur punctum N linea percuſſionis MN,
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              minor eſt percuſſio ratione puncti non lineæ; </s>
              <s id="N13CB1">ſi accipiatur punctum N,
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              & linea IN, minor eſt percuſſio ratione vtriuſque: </s>
              <s id="N13CB7">ſi demum accipia­
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              tur punctum E & linea HE, maior eſt percuſſio ratione vtriuſque; </s>
              <s id="N13CBD">igi­
                <lb/>
              tur ſunt quatuor coniugationes; ſeu quatuor claſſes diuerſarum percuſ­
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              ſionum. </s>
            </p>
            <p id="N13CC5" type="main">
              <s id="N13CC7">Hinc compenſari poteſt ratione vnius quod deeſt ratione alterius,
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              v. g. ſi fiat percuſſio in puncto E per lineam ME, poteſt ſciri punctum
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              inter ED, in quo percuſſio per lineam perpendicularem ſit æqualis
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              percuſſioni per lineam ME; ſed de his infrà in lib. 10. cum de percuſ­
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              ſione, determinabimus enim vnde proportiones iſtæ petendæ ſint, &
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              demonſtrabimus totam iſtam rem, quæ multùm curioſitatis habet, &
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              vtilitatis. </s>
            </p>
            <p id="N13CDD" type="main">
              <s id="N13CDF">Determinabimus etiam dato puncto percuſſionis F v.g. cum ſequatur
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              motus vectis, quodnam ſit centrum vectis ſeu huius motus. </s>
            </p>
            <p id="N13CE6" type="main">
              <s id="N13CE8">Hinc demum ſequitur, ne hoc omittam, data minimâ percuſſione per
                <lb/>
              lineam MN dari poſſe adhuc minorem per lineam IN, & alias incli­
                <lb/>
              natas; </s>
              <s id="N13CF0">& data percuſſione per lineam quantumuis inclinatam, poſſe da­
                <lb/>
              ri æqualem per lineam perpendicularem; </s>
              <s id="N13CF6">& data per lineam perpendi­
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              cularem extra centrum grauitatis E, poſſe dari æqualem; & in qualibet
                <lb/>
              data ratione per aliquam inclinatam, quæ cadat in E, ſed de his fusè
                <lb/>
              ſuo loco. </s>
            </p>
            <p id="N13D00" type="main">
              <s id="N13D02">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              70.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13D0E" type="main">
              <s id="N13D10">
                <emph type="italics"/>
              Corpus oblongum parallelipedum percutiens aliud corpus, putà globum̨,
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              motu recto per lineam directionis, quæ producta à puncto contactus ducitur per
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              centrum globi, dum fiat contactus in centro grauitatis parallelipedi, maximum
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              ictum infligit, ſeu agit quantùm poteſt.
                <emph.end type="italics"/>
              v. g. ſit parallelipedum EB; quod
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              moueatur motu recto parallelo, lineis CD, HG, &c. </s>
              <s id="N13D25">ſitque globus in
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              D; </s>
              <s id="N13D2B">haud dubiè agit quantùm poteſt, quia ſcilicet eſt maximum impedi­
                <lb/>
              mentum per Th.68. Tam enim globus in D impedit motum paralleli­
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              pedi, quàm parallelipedum motum globi impacti per lineam ID; </s>
              <s id="N13D33">impedit
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              inquam ratione oppoſitionis; </s>
              <s id="N13D39">quia centra grauitatis vtriuſque con­
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              currunt in eadem linea; igitur ſi maximum eſt impedimentum, agit
                <lb/>
              quantùm poteſt Th. 50. hinc producitur impetus æqualis per Th.60. </s>
            </p>
            <p id="N13D41" type="main">
              <s id="N13D43">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              71.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13D4F" type="main">
              <s id="N13D51">
                <emph type="italics"/>
              Si percuſſio fiat in G, id eſt ſi globus eſſet in G, producetur minor impetus,
                <lb/>
              & in
                <emph.end type="italics"/>
              M
                <emph type="italics"/>
              adhuc minor
                <emph.end type="italics"/>
              ; </s>
              <s id="N13D62">vt conſtat ex dictis in ſuperioribus Theorematis;
                <lb/>
              in qua vero proportione determinabimus aliàs. </s>
            </p>
            <p id="N13D68" type="main">
              <s id="N13D6A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              72.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N13D76" type="main">
              <s id="N13D78">
                <emph type="italics"/>
              Si corpus percutiens non ſit parallelipedum, ſed alterius figuræ v.g.
                <emph.end type="italics"/>
                <emph type="italics"/>
              trigo­
                <lb/>
              non,
                <emph.end type="italics"/>
              ADE, ſitque maioris facilitatis gratia Orthonium; </s>
              <s id="N13D89">eiuſque motus
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              ſit parallelus lineis ED, BC: </s>
              <s id="N13D8F">ſit autem DA dupla DE; </s>
              <s id="N13D93">ſitque diuiſa to­
                <lb/>
              ta DA æqualiter in C, in C non erit maximus ictus; </s>
              <s id="N13D99">quia in C non </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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