Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N24CC8">
            <pb pagenum="337" xlink:href="026/01/371.jpg"/>
            <p id="N24FAE" type="main">
              <s id="N24FB0">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24FBD" type="main">
              <s id="N24FBF">Collige punctum L in arcu deſcenſus LQ ita moueri, vt motus orbis
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              addat ſinus rectos motui centri v.g. motus orbis LK addit ſinum rectum
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              MK; punctum vero oppoſitum A ita mouetur in arcu AZ, vt motus or­
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              bis detrahat ſinus rectos motui centri v. g. motus orbis AT detrahit
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              ſinum XT, punctum Z ita vt aſcendit per arcum ZL, vt motus orbis
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              addat motui centri ſinus verſos v. g. motus orbis arcus ZQ addit ſinum
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              verſum Z 11. denique punctum oppoſitum Q ita deſcendit per arcum
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              QA vt motus orbis detrahat motui ſinus verſos v. g. motus orbis arcus
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              QT detrahit ſinum verſum Q 13. hinc vides quàm benè conueniant,
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              ſingulæ quadrantes rotæ cuius rei ratio clariſſima eſt. </s>
            </p>
            <p id="N24FE3" type="main">
              <s id="N24FE5">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24FF1" type="main">
              <s id="N24FF3">Hinc punctum Z in aſcenſu Z, 10.grad. </s>
              <s id="N24FF6">60. tantùm addit motui cen­
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              tri, quantum L in deſcenſu L, 10.grad.30. aſcenſus verò 10. L grad. 30.
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              tantum addet quantum aſcenſus 10, Q grad. denique ſi accipiatur primus
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              arcus aſcenſus addit ſinum verſum, ſi vltimus, rectum; at verò primus
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              deſcenſus in ſemicirculo dumtaxat ſuperiore addit ſinum rectum, vlti­
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              mus verſum, quæ omnia certiſſimè conſtant. </s>
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            <p id="N25008" type="main">
              <s id="N2500A">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25016" type="main">
              <s id="N25018">Obſeruabis hanc eſſe liueam rotatilem, quàm à multis annis cum in­
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              finitis ferè rotatilium ſpeciebus & proprietatibus noſter Philoſophus in­
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              uenit, de quibus ſequenti Tomo. </s>
            </p>
            <p id="N25020" type="main">
              <s id="N25022">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2502F" type="main">
              <s id="N25031">
                <emph type="italics"/>
              Omnia puncta rotæ AQLZ, quæ rotatur in plano, mouentur inæquali mo­
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              tu
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              ; </s>
              <s id="N2503C">de duobus oppoſitis LA conſtat manifeſtè, quia æquali tempore
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              L acquirit maius ſpatium, quàm A, v. g. ſpatium LI eo tempo­
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              re quo A acquirit ſpatium AS: </s>
              <s id="N25048">de duobus QZ etiam conſtat; </s>
              <s id="N2504C">nam
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              Z ita mouetur verſus L, vt motus orbis addat ſinum verſum motui centri
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              Q verò ita mouetur, vt detrahat
                <expan abbr="eũdem">eundem</expan>
              ſinum; </s>
              <s id="N25058">igitur Z mouetur velo­
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              ciùs, quàm
                <expan abbr="q;">que</expan>
              de duobus K & 10. certum eſt, nam 10. plùs addit aſcen­
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              dendo quàm K deſcendendo æquali tempore; </s>
              <s id="N25064">nam 10. in arcu 10. L ad­
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              dit motui centri 10. M, & K in deſcenſu KH addit addit tantùm 14. H; </s>
              <s id="N2506A">
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              ſed hæc eſt minor.10. M, vt conſtat toto ſinu verſo arcus HQ; & licèt
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              punctum 10. in aſcenſu eodem tempore addat 10. M quo punctum L
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              in deſcenſu addit MK æqualem; </s>
              <s id="N25077">non tamen propterea mouentur æquè
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              velociter; </s>
              <s id="N2507D">quia punctum L initio mouetur velociùs, & ſub finem tardiùs; </s>
              <s id="N25081">
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              at verò punctum 10. initio mouetur tardiùs; vnde quocunque arcu aſ­
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              ſumpto inter 10. L, & alio æquali inter LK, punctum L mouebitur
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              velociùs initio. </s>
            </p>
            <p id="N2508A" type="main">
              <s id="N2508C">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25099" type="main">
              <s id="N2509B">Hinc colligo, punctum L omnium velociſſimè moueri initio & pun­
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              ctum A omnium tardiſſimè; ratio eſt quia puncto L motus orbis addit </s>
            </p>
          </chap>
        </body>
      </text>
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