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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              nuò augetur. </s>
              <s>In proiectis verò tota gravitas ſuperatur ab
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              impulſu,
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              in lineam trahitur nonnaturalem. </s>
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            <p type="main">
              <s>
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              PROBLEMA IV.
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              Datâ Proportione impulſûs ad grauitatem, lineam motûs
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              inflexi inuenire.
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                <emph.end type="center"/>
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            </p>
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              <s>Data ſit proportio impulſûs ad gravitatem, VG ſeſcupla.
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              aſſumatur autem recta AB via motûs, ad AC motum verti­
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              calem in eadem ratione: & ſecetur AB in ſegmenta æqualia
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              ALMNOPB. </s>
              <s>Quòd ſi
                <expan abbr="itaq;">itaque</expan>
              maneret eadem proportio im­
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              pulſus ad gravitatem, motus medius eſſet diameter parallelo­
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              grammi ABDC per prop: 32. </s>
              <s>At verò quia plaga impul­
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              ſum continuò abſumit: gravitas verò eadem manet; neceſſe
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              continuò mutari hanc proportionem: pro ratione nimirum
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              ſpatij tranſmiſſi Igitur abſumptâ parte impulſus æquali AL:
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              principium motûs reliqui determinat AT diameter parallelo­
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              grammi APTC in E. propterea quòd TC ſit æqualis reſiduo
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              impulſui LB. </s>
              <s>Rurſum peractâ plagâ æquali AM; erit princi­
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              pium motûs in F communi ſectione MF.
                <expan abbr="atq;">atque</expan>
              AS lineæ dia­
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              gonalis parallelogrammi AOSC,
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              ratione invenie­
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              mus puncta reliqua motûs ſinuoſi in GH I&c. </s>
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              <s>
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              THEOREMA XIV.
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              Linea motûs proiectorum non eſt circulus, ne〈que〉 ulla ſectionum
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              conicarum.
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              </s>
            </p>
            <p type="main">
              <s>
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              Supponamus primùm eſſe lineam circularem.
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              </s>
            </p>
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              <s>Quoniam
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              triangula APT, AEV ſuntſimilia, erit FV ad
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              AV, ut AP ad TP. eſt autem TP pars 5 AP per probl: 4 Igitur & </s>
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