Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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            <p id="N26603" type="main">
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              quo DA fertur per ipſum D, BC cum ſuis velus vertitur circa DA. </s>
            </p>
            <p id="N26616" type="main">
              <s id="N26618">Primò, hinc eſt motus mixtus, & recto axis DA & circulari CB. </s>
            </p>
            <p id="N2661C" type="main">
              <s id="N2661E">Secundò, hinc eſt motus perfectè ſpiralis, nec enim differt à motu cy­
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              lindri; de quo ſuprà. </s>
            </p>
            <p id="N26624" type="main">
              <s id="N26626">Tertiò, ſpiræ ſunt frequentiores, quò motus eſt velocior motu centri
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              A, maiores è contrario. </s>
            </p>
            <p id="N2662B" type="main">
              <s id="N2662D">Quartò, debet conſtare debet CB ex leuiſſima materia; alioquin non
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              mouebitur motu orbis. </s>
            </p>
            <p id="N26633" type="main">
              <s id="N26635">Quintò, debet facilè poſſe moueri circa A; alioquin vis illa reflantis
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              aëris, quæ CB motum circularem imprimit, non ſufficeret. </s>
            </p>
            <p id="N2663B" type="main">
              <s id="N2663D">Sextò, ideo BC mouetur circa A; </s>
              <s id="N26641">quia cum vela C & B polleant mul­
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              tum aëra, maior eſt reſiſtentia; </s>
              <s id="N26647">hinc propter modicam inclinationem
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              axis DA aër in ſuperficies C & B obliquè incidens illas impellit; ſed
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              quia axis BA reſiſtit neceſſariò circa A, motu circulari cientur. </s>
            </p>
            <p id="N2664F" type="main">
              <s id="N26651">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              23.
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              </s>
            </p>
            <p id="N2665D" type="main">
              <s id="N2665F">
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              Explicari poſſunt omnes motus ponderis, ſeu plumei à tergo valuarum fu­
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              nependuli, cuius vi valuæ ipſa claudantur,
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              v.g.ſit fores AE quarum va­
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              rum eſt AF; ſit funis CDG, cuius extremitas immobiliter affixa ſit C,
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              pondus appenſum ſit G, cuius vi ſeu motu fores ipſæ clauduntur. </s>
            </p>
            <p id="N2666E" type="main">
              <s id="N26670">Primò, certum eſt pondus G non moueri motu recto; quia cum ip­
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              ſo rectangulo AE mouetur circa axem immobilem AB. </s>
            </p>
            <p id="N26677" type="main">
              <s id="N26679">Secundò, certum eſt non moueri motu purè circulari, qui mouetur
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              per lineam GD. </s>
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            <p id="N2667E" type="main">
              <s id="N26680">Tertiò, certum eſt rectangulum A moueri motu purè circulari, vt pa­
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              tet; ita vt DE ſuo motu deſcribat cylindrum, cuius radius ſeu ſemidia­
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              meter baſis eſt BE. </s>
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            <p id="N26689" type="main">
              <s id="N2668B">Quartò, certum eſt, quodlibet punctum huius rectanguli deſ­
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              cribere circulum, maiorem ſcilicet vel minorem pro diuerſa diſtan­
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              tia ab axe AB, v. g. punctum D deſcribit circulum, cuius radius
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              eſt DA, punctum verò I deſcribit circulum, cuius radius eſt HI. </s>
            </p>
            <p id="N26699" type="main">
              <s id="N2669B">Quintò, certum eſt pondus G moueri motu mixto ex circulari forium.
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              </s>
              <s id="N2669F">& recto deorſum. </s>
            </p>
            <p id="N266A2" type="main">
              <s id="N266A4">Sextò, habes ſchema huius motus in cylindro A quem deſcribunt
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              fores ſuo motu, ſi enim A moueatur per ſemicirculum AB, & rectam A
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              C; </s>
              <s id="N266AC">haud dubiè mouebitur per AD; igitur hic motus eſt ſpiralis, nec eſt
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              alia difficultas. </s>
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            <p id="N266B2" type="main">
              <s id="N266B4">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              24.
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              </s>
            </p>
            <p id="N266C0" type="main">
              <s id="N266C2">
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              Quando voluitur funis circa cylindrum, vel axem, mouetur motu
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              ſpirali, ſed diuerſo à prioribus
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              ; </s>
              <s id="N266CF">ſunt enim veræ ſpiræ ad inſtar ſapien­
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              tia in diuerſa volumina contorti; </s>
              <s id="N266D5">ſic funis circa digitum ſæpè
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              rotatur.; </s>
              <s id="N266DB">eſt enim motus mixtus ex diuerſis circularibus: </s>
              <s id="N266E1">quippè </s>
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