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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              Lapſus grauium in eodem ſegmento Circuli per plures
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              chordas eſt velocior.
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                <emph.end type="center"/>
              </s>
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            <p type="main">
              <s>Moueatur graue ex Q in F: Dico velociùs labi per chordas Q
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              B. BC. CF, quàm per chordas QB. BF. </s>
              <s>Quia enim velociùs de­
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              ſcendit per duas chordas BC. CF, quàm| per chordam BF per
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              Theorema tertium: addito motu communi QB, erit velocior
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              lapſus per QB. BC. CF, quàm per QB. BF. </s>
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              <s>
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              THEOREMA V.
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              <s>
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                <emph type="italics"/>
              Pendulum æquali tempore mouetur per arcum Circuli &
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              chordam eidem ſubtenſam.
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              </s>
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              <s>Moveatur pendulum TC ex C in B: Dico æquali tempore la­
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              bi per arcum CEB, & chordam CB. </s>
              <s>Concipiantur enim per ſin­
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              gula puncta CGHIK eiuſdem arcus CEB duci tangentes, &
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              chordæ his parallelæ BL. BM.BN. BO & c. </s>
              <s>Quia
                <expan abbr="itaq;">itaque</expan>
              ex C la­
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              bendo in ſingula momenta mutat inclinationem, quam indu­
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              cunt lineæ tangentes; erit ratio motûs in his homologa motui
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              per chordas parallelas. </s>
              <s>Vt ſi labi incipiat per tangentem CD,
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              interuallum motûs in hac erit æquale motui per chordam pa­
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              rallelam AB. </s>
              <s>Nullus autem fit motus in CD, verùm immedi­
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              atè transfertur in alias tangentes. </s>
              <s>Simili modo in GHIK ex
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              illâ obliquatione contrahetur motus, inſpatia æqualia chordis
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              parallelis BL. BM. BN, BO: in EPQRS verò æquatur chor­
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              dis BC. BG. BH &c. quæ quidem chordæ ſubten dunt duplum
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              illius arcûs, cuiús tangens eſt parallela. </s>
              <s>Eſt enim CEB duplum
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              arcùs ESB. </s>
              <s>
                <expan abbr="Atq;">Atque</expan>
              hæc ratio arcûs dupli, continuatur
                <expan abbr="uſq;">uſque</expan>
              ad
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              tangentem BV. quam ubi attigit pendulum ex C, attingit
                <expan abbr="quoq;">quoque</expan>
              </s>
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