Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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hypomochlium. </
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<
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>Differre enim à ſe conſtat ex eo, quòd hæc
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augeri poteſt infinitè, nihilo auctâ illâ. </
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<
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<
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Neq;
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enim velociùs de
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ſcendit vectis ob remotionem ponderis à lineâ hypomochlij:
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<
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neq;
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ſi alià trutinâ explores in quouis ſitu, magis ponderabit. </
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<
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>Propterea quòd hic impulſus hypomochlium, non verò mun
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di centrum reſpicit, quantumuis ab eadem grauitate oriatur.
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<
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Atq;
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hunc impulſum augeri in eà ratione, quam vectis obtinet,
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demonſtrat Archimedes in lib. de æquiponderantibus. </
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<
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>Alio
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modo Grauitas, ſeu impulſus in ordine ad motum expenditur
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abſolutè,
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abbr
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abſq;
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ullo reſpectu ad hypomochlium: & tum
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rationem quadrati habere dicimus; cuius latera ſint duratio
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motûs. </
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<
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>Nam cùm in aliquo tempore produci ſit neceſſe,
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atq;
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eo modo augeatur, quo triangulum ſibi ſimile manens, per po
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ſit. quintam; habebit impulſus hic ad illum, rationem eius,
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quam habent tempora, duplicatam. per propoſ. 12. </
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<
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>Aduerte ſecundo, duobus modis fieri contactum mobi
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lis & plani: vno modo, cùm incidit plano: alio modo, cùm la
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bitur per ipſum. </
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Neq;
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eadem ratio
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utrobiq;
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. </
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<
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>Nam cùm labi
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tur, & labendo tangit planum, eodem modo videtur ſe habe
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re ad hypomochlium,
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abbr
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eandémq;
">eandémque</
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diſtantiam obtinere centrum
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grauitatis: Manet ergo ratio partis motæ ad quieſcentem,
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quã
">quam</
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linea hypomochlii à principio induxit. </
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<
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>At verò cùm incidit
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eidem plano, plagam infert, & recipit: vnde reflecti contin
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git. </
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<
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>Oſtenſum verò prop: 37-Plagam in aliquo tempore
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fieri: à Plaga verò impulſum exſolui. quam ergo rationem
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habet mora plagæ iam perfectæ ad aliam moram plagæ nec
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dum perfectæ, candem habet impulſus totus ad illum duplica.
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tum. </
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<
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>Igitur in caſu verticali, quia hypomochlium occurrit
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centro,
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neq;
">neque</
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percuſſioni cedit, plagam inducit
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abbr
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perfectã
">perfectam</
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,
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totũq
">totunq</
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,
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impulſum exſoluit. & cùm æqualem à percuſſo recipiat plaga,
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eadem, quâ incidit, viâ retro agitur. </
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<
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>In occurſu autem plani </
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