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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              ad ictum inclinati, quia non per centrum grauitatis ſeu impul­
                <lb/>
              ſus ſecatur à lineà hypomochlij; erit ratio Plagæ, quam habet
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              in hypomochlio quies. quæ tantò eſt minor, quantò velociùs
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              centrum grauitatis à plagâ ſe abducit. </s>
              <s>Quòd ſi ergo DF ſit
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              mora plagæ perfectæ,
                <expan abbr="atq;">atque</expan>
              huius impulſus quadratum DF; erit
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              DC tempus uelocitatis motus, & huius quadratum impulſus:
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              reliquum ergo quadratum FC à percuſſione ſeu plagâ, impul­
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              ſum dabit à reliquo tempore menſuratum. propterea quod
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              quadratum FD ſit æquale duobus quadratis CD. CF: ac pro­
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              inde mora percuſſionis complementum CD ad ſinum
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              totum. </s>
              <s>Eodem modo ſi plagam metiamur fientem morâ æ­
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              quali C Flateri eiuſdem quadrati, erit huius complementum
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              mora impulſus reliqui. </s>
              <s>
                <expan abbr="Atq;">Atque</expan>
              ex his Soluitur illa dubitatio,
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              quam ob rem prop: 13. impulſu & grauitate,
                <expan abbr="horumq;">horumque</expan>
              diuiſi­
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              one utamur ceu lineâ rectâ, aut parallelogrammo: propoſi­
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              tione autem 32. & 33 motum comparemus ut quadrata.
                <lb/>
              quia nimirum hic impulſum ut fientem, ac proinde iuxta mo­
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              dum
                <expan abbr="menſuramq;">menſuramque</expan>
              plagæ expendimus. </s>
              <s>Non enim à percuſſi­
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              one idem eſt impulſus: ſed illa portio, quæ percuſſit, illi de­
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              cedit: Alius verò huic æqualis & oppoſitus à percuſſo rege­
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              neratur: & cum reliquo impulſu in ordine ad motum medium
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              miſcetur. </s>
              <s>Neceſſe ergo inter ſe conferri, ut illorum tempo­
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              rum, in quibus producuntur, quadrata. </s>
              <s>At uerò prop: 13. </s>
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              <s>Impulſum ſeu grauitatem in facto eſſe, & à centro grauitatis, in
                <lb/>
              quo eſt collecta, ſui replicatione in vectem æqualiter fuſam:
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              quam fecat bifariam linea hypomochlij in partem motam &
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              quieſcentem. </s>
              <s>Hæc autem nullam inducit plagam: verùm
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              continuò in hypomochlio quieſcit, & in ordine ad motum pro
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              nullâ habetur. </s>
              <s>Vnde augmenta velocitatis motus fiunt
                <expan abbr="absq;">absque</expan>
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              ullo ad eam reſpectu. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
              enim motu
                <expan abbr="inualeſcẽte">inualeſcente</expan>
              augetur illa
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              grauitas in hypomochlio quieſcens: quòd linea hypomochlij </s>
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