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

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              <s>
                <pb xlink:href="063/01/012.jpg"/>
              totam, motum producet ſibi æqualem, hoc eſt duplum. </s>
              <s>Jm­
                <lb/>
              meritò hic aliqui turbantur,
                <expan abbr="hæſitantq;">hæſitantque</expan>
              quia inquiunt, licet
                <lb/>
                <expan abbr="quandoq;">quandoque</expan>
              velocius feratur in eodem tempore per ſpatium du­
                <lb/>
              plum, non tamen conſtare an illa virtus Locomotiua ſit du­
                <lb/>
              pla, an in aliâ proportione. </s>
              <s>Verùm hi naturam grauitatis &
                <lb/>
              Impulſus videntur ignorare, illam ceu ex atomis conflantes:
                <lb/>
              quæ proinde aliquo numero, aut magnitudine ſit menſurabi­
                <lb/>
              lis. </s>
              <s>At verò quis qualitates ſenſum latentes, & vix ab animo
                <lb/>
              perſpici valentes menſurabit? quin ipſam coulis ſubiectam al­
                <lb/>
              bedinem quis duplam alteri dabit: Sicuti ergo illas qualita­
                <lb/>
              tes non niſi ex effectu noſcim
                <emph type="sup"/>
              9
                <emph.end type="sup"/>
              ; ita ex huius partitione in partes
                <lb/>
              analogas ſecamus: ut dupla ſit virtus, quæ effectum producit
                <lb/>
              duplum; impulſus ergo ſeu grauitas dicetur dupla, quæ mo­
                <lb/>
              tum valet producere duplum. </s>
              <s>Eſt autem de ratione motus
                <lb/>
              habere extenſionem, & in tempore fieri determinato: & ut
                <lb/>
              tanto magis ſit perfectus, quanto| minùs temporis inſumit. </s>
              <lb/>
              <s>Semiſſis ergo temporis, perfectionem dabit duplam. & quia in
                <lb/>
              altera ſemiſſe motum producit æqualem, perfectio dupla, eo­
                <lb/>
              dem tempore mouebit per ſpatium duplum. </s>
              <s>Confirmatur
                <lb/>
              ex ijs, quæ poſtea dicam ad quæſt. de cauſa inæqualis reflexio­
                <lb/>
              nis: nimirum motum eſſe plagam continuatam in illo medio,
                <lb/>
              in quo fit motus:
                <expan abbr="atq;">atque</expan>
              impulſum à plagâ incipientem in aliam
                <lb/>
              plagam illi æqualem deſtinari: quâ conſecutâ motus termi­
                <lb/>
              natur. </s>
              <s>Cùm ergo Impulſus ſit æqualis plagæ, neceſſe illam
                <lb/>
              in motu continuatam plagam huic eſſe æqualem. & quia medi­
                <lb/>
              um unius eſt rationis,
                <expan abbr="neq;">neque</expan>
              magis in una, quàm aliâ parte reſi­
                <lb/>
              ſtit, erunt partes medij in eâ ratione, in quâ illarum plaga. </s>
              <lb/>
              <s>Medium ergo duplum abſumet plagam duplam. </s>
              <s>At verò Pla­
                <lb/>
              ga dupla non niſi ab impulſu æquali, id eſt duplo eſſe poteſt:
                <lb/>
              Impulſus ergo duplus per medium mouebit duplum. </s>
              <s>De­
                <lb/>
              inde cùm velocitas motûs proueniat à minori reſiſtentia </s>
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