Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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              <s>
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              Igitur pendulum TC ex C & E æquali tempore recurrit inſu­
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              am ſtationem TB. </s>
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            <p type="main">
              <s>
                <emph type="italics"/>
              Obijcies. </s>
              <s>Lapſus grauium per plures chordas eſt velocior per 4. theo­
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              rema. </s>
              <s>Cùm ita〈que〉 in circuli curvaturâ ſint chordæ poteſtate infinitæ;
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              erit velocior lapſus per arcum, quàm per quotcun〈que〉 numero chordas.
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              </s>
            </p>
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              <s>Videtur hæc ratio mouiſſe Galilæum, ut in lib. de Syſtemate
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              mundi motum per arcus circuli poſuerit velociorem motu per
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              illorum chordas. </s>
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            <p type="main">
              <s>
                <emph type="italics"/>
              His, inquit, adde mirabile aliud, ſcilicet quòd motus cadentium facti
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              per arcus quadrantis AB fiant breuioribus temporibus, quàm illi, qui
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              per chordas eorundem arcuum fiunt. </s>
              <s>Et paucis interiectis, mobile, in­
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              quit, diſcedens à puncto A minori tempore perueniet ad B, currendo per
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              duas chordas AD. DB, quàm per ſolam chordam AB. </s>
              <s>Sed breuiſsimum
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              omnium tempus fuerit, ſi deciderit per arcum ADB.
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              </s>
            </p>
            <p type="main">
              <s>Verùm diſſoluitur hæc obiectio, quòd motus per plures chor­
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              das interciſus,
                <expan abbr="atq;">atque</expan>
              huius exceſſ
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              9
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              determinetur per lineas, quæ
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              à termino motús per unam chordam, cadunt perpendiculari­
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              ter ad alias, per primum theorem: & quò plures fuerint chor­
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              dæ eò exceſſus penultimæ erit maior. </s>
              <s>At verò in defluxu cir­
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              culari, quiâ nullum interuallum inter proximas tangentes, ſeu
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              chordas illarum parallelas;
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              ulla cadit perpendicularis. </s>
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              <s>Vndè ſi ex quolibet puncto refluxûs labi in cipiat per chordam,
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              erit æqualis duratione reſiduo lapſui, qui cadit per chordam
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              verticalem. </s>
            </p>
            <p type="main">
              <s>
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              Ad Propoſitionem Vigeſimam.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              De causâ decrementi oſcillationum, & an æquales ſint
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              duratione.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Cauſa decrementi oſcillationum non eſt illa, quam attuli ad
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              finem prop. 20. ſicuti enim gravitas ſe habet ad illas </s>
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          </chap>
        </body>
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