Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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at verò impulſum minorem gravitate ſecundâ; baſim à cylindro non
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excludet.
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>Impulſus, quo orbiculus movetur quantumvis exiguus,
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movere poteſt alium ſibi æqualem: At cùm gravitas huius ab
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aliâ vi detinetur; non niſi á maiori impulſu, quàm ſit illa vis
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motui renitens, moveri poteſt. </
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>Vt ſi globum ſtylo affixum
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percutiat globus æqualis; illa quidem plaga non niſi ſtylo fra
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cto, aut avulſo globum movebit. </
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>Itaq cùm baſis cylindri
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plurium acceſſione gravatur; neceſſe plagam ab orbiculo
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illatam eſſe maiorem illâ acceſſoriâ gravitate: quâ velutí affi
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gitur plano: non ſolùm in principio motûs, ſed toto illo tra
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ctu, quo baſis eluctatur. </
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>Nam cùm huius motus non aliter,
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quàm ſi corpus ſolidum continuatâ plagâ perrumpat, attera
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tur: ſi minor ſit quàm reſiſtentia illo tranſitu coacervata; mi
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nor
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erit plaga: deficiet ergo motus priuſquam baſis
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pertranſeat. </
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THEOREMA IX.
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Si baſim cylindri orbiculati percutiat alius orbiculus æqualis; habe
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at verò impulſum æqualem grauitati ſecundæ; excluſam baſim non
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ultra cylindrum movebit.
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>Nam quia baſim percutit alius orbiculus æqualis; habebit
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ex illâ plagâ impulſum æqualem. </
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>Et quia gravitas ſecunda
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huic eſt contraria, & ex ſuppoſitione æqualis; tollet pars qui
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dem gravitatis huius partem, tota verò gravitas totum im
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pulſum per poſit: 2 de propor: motûs. </
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<
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>Cùm igitur gravitas
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ſecunda diametro cylindri terminetur; deficiet impulſus, ubi
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cylindrum exceſſit baſis. </
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<
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>Et cùm non
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impulſu moveatur,
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non ultra cylindrum extendet motum. </
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