Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N22776">
                <pb pagenum="293" xlink:href="026/01/327.jpg"/>
              trum, quod eſt inter MH, licèt propiùs accedat ad M, quàm ad H, vt
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              conſtat ex calculatione; </s>
              <s id="N22783">eſt autem aliquod punctum inter TA, ex quo ſi
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              pellatur, mouebitur circa punctum H; </s>
              <s id="N22789">ſi verò aſſumantur alia puncta
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              verſus A, ex quibus pellatur, centra motus, erunt extra BH, ac proinde
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              extremitas B pulſa ex B mouetur per arcum BN; </s>
              <s id="N22791">pulſa ex A per rectam
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              AL; pulſa denique ex punctis, quæ ſunt inter BA, per arcus maiorum
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              circulorum, eò ſanè maiorum, quò propiùs punctum, ex quo pellitur, ac­
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              cedit ad A. </s>
            </p>
            <p id="N2279C" type="main">
              <s id="N2279E">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              59.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N227AA" type="main">
              <s id="N227AC">
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              Si pellatur nauis, vel cylindrus BH in puncto T, difficiliùs mouebitur, etiam
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              ex ſuppoſitione, quòd circa centrum M moueatur
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              ; </s>
              <s id="N227B7">quod eodem modo de­
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              monſtratur, quo ſuprà; </s>
              <s id="N227BD">accipiatur TZ æqualis BC; </s>
              <s id="N227C1">ſit autem BT æqua­
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              lis TA; </s>
              <s id="N227C7">certè arcus TS erit æqualis arcui BE; </s>
              <s id="N227CB">igitur ſector VMB erit
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              ſubduplus quadrantis BMR: </s>
              <s id="N227D1">ſimiliter ſector HMX erit ſubduplus qua­
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              drantis HMP; </s>
              <s id="N227D7">igitur motus erit, vt aggregatum ex his duobus ſectori­
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              bus; </s>
              <s id="N227DD">ſed cum applicatur potentia in B, motus eſt vt aggregatum ex duo­
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              bus ſectoribus BMN, HNO; </s>
              <s id="N227E3">ſit autem quadrans BMR, vt 9. & qua­
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              drans HMP vt 1. igitur cum applicatur potentia in B, motus eſt ad mo­
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              tum cum applicatur in T vt 3 1/3 ad 5. igitur & impetus; igitur facilitas
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              primi motus eſt ad facilitatem ſecundi, vt 5. ad 3 1/3 igitur in T diffici­
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              liùs pellitur, quàm in B. </s>
            </p>
            <p id="N227EF" type="main">
              <s id="N227F1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              60.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N227FD" type="main">
              <s id="N227FF">
                <emph type="italics"/>
              Hinc maxima difficultas eſt ad minimam, vt rectangulum BK ad aggre­
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              tum ex duobus ſectoribus BMN & HMO, id eſt vt
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              6. 2/7 ad 2. (13/21): </s>
              <s id="N2280A">hinc
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              nauis, quæ pellitur è lateris puncto, quod reſpondet centro A, difficiliùs
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              longè mouetur; ſuppono enim nauim eſſe eiuſdem latitudinis, & denſi­
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              tatis, nec ſabulo adhærere. </s>
            </p>
            <p id="N22814" type="main">
              <s id="N22816">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              61.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22822" type="main">
              <s id="N22824">
                <emph type="italics"/>
              Si ſuperponatur corpus plano rotæ, quæ voluitur in circulo horizontali, pro­
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              iicietur per Tangentem extremam.
                <emph.end type="italics"/>
              v.g. ſit rota ABCD horizontali pa­
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              rallela quæ vertatur ab A verſus B celeri motu, ſitque planum eius le­
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              uigatiſſimum; </s>
              <s id="N22835">imponatur globus etiam leuigatiſſimus puncto A: </s>
              <s id="N22839">dico
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              quod proiicietur per Tangentem AF, quia impetus, qui in illo impri­
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              mitur in puncto F eſt determinatus ad Tangentem A
                <foreign lang="grc">θ</foreign>
              ; </s>
              <s id="N22845">ſed non impe­
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              ditur, quominus habeat ſuum motum; </s>
              <s id="N2284B">nec enim globus prædictus ita
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              affigitur plano rotæ, quin liberè ſeorſim moueri poſſit: </s>
              <s id="N22851">dixi per Tangen­
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              tem extremam, quia ſi imponatur globus puncto F; </s>
              <s id="N22857">certè non impelle­
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              tur per Tangentem F
                <foreign lang="grc">υ</foreign>
              , vt patebit ex ſequenti propoſitione; quod à nul­
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              lo hactenus, quod ſciam, obſeruatum fuit. </s>
            </p>
            <p id="N22863" type="main">
              <s id="N22865">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              62.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22871" type="main">
              <s id="N22873">
                <emph type="italics"/>
              Si imponatur globus puncto F plani horizontalis rotæ ABCD, non proii­
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              cietur per Tangentem F
                <emph.end type="italics"/>
                <foreign lang="grc">υ</foreign>
              quod primò manifeſtis experimentis comproba­
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              tum eſt. </s>
              <s id="N22883">Secundò probatur, quia dum globus his punctis, in quibus re-</s>
            </p>
          </chap>
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