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

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              dij: acrem enim velociùs, quam aquam findit
                <expan abbr="idẽ">idem</expan>
              mobile: ſi mi­
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              nuatur reſiſtentia medij, ut fiat ſub dupla prioris; Idem impul­
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              ſus habebit velocitatem duplam. </s>
              <s>At verò eadem eſt propor­
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              tio, ſi manente reſiſtentiâ eiuſdem medij, augeatur Impulſus. </s>
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              <s>Igitur ſi impulſus rationem habeat duplam ad alium impul­
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              ſum, mouebitur in eodem medio velocitate duplâ. </s>
              <s>Et quia
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              velocitas maior in minori tempore tranſit idem ſpatium, velo­
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              citas dupla in dimidio tempore tranſibit. </s>
              <s>Quòd ſi necdum
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              perſuaſi in hac luce caligant, ſit ea poſtulatiloco. nam quæ ad
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              huius poſitionem ſequuntur, ſi firmo nexu, &
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              ut linum lino
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              co­
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              hærent, de veritate ſuppoſiti non licebit dubitare: quandoqui­
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              dem firmitas operis de ſubſtructionibus fidem facit. </s>
              <s>Igitur
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              cùm eadem ſit ratio motûs, quæ grauitatis ſeu impulſus; erit
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              motus verticalis duratione æqualis motui inclinato; Si eo mo­
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              do habeant ſpatia, quo illorum grauitates. </s>
              <s>Oſtenſum verò
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              illa pro. 13. triangula FCD, ABF eſſe ſimilia, & in ratione ho­
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              mologa ſuorum laterum. latus ergo FD ad DC, ut latus A
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              B ad AF. </s>
              <s>Eſt autem FD menſura impulſus in lapſu verticali,
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              hoc eſt in AB. </s>
              <s>CD verò menſura impulſus in BF. propterea
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              quód impulſus ſeu grauitas per poſit. 6
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              am
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              augetur in ratione
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              diſtantiæ centri à linea hypomochlij. </s>
              <s>Concipitur enim cen­
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              trum grauitatis in hypomochlio librari: cuius vectis linea per­
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              pendicularis à centro productá Quæ ſi æqualis ſit radio, tota
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              grauitas prominet extra lineam hypomochlij: in plano verò in­
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              clinato, quò magis inclinatur, eò propiùs accedit ad lineam
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              hypomochlij: & quò minor fit vectis, eò minùs gravitat. </s>
              <s>Pro
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              cuius maiori declaratione, Notandum Comparationem inſti­
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              tui grauitatis, non inter partes Circuli, quas linea hypomo­
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              chlij bifariam ſecat: cùm non illarum, ſed centri ratione fiat
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              impulſus, per quartum Theorema huius: in quo omnium vir­
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              tus collecta, in ſingulas ſe effundit. </s>
              <s>
                <expan abbr="Itaq;">Itaque</expan>
              fit ut pars nulla ſuo </s>
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