Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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nuò augetur. </
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>In proiectis verò tota gravitas ſuperatur ab
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impulſu,
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in lineam trahitur nonnaturalem. </
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PROBLEMA IV.
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Datâ Proportione impulſûs ad grauitatem, lineam motûs
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inflexi inuenire.
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>Data ſit proportio impulſûs ad gravitatem, VG ſeſcupla.
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aſſumatur autem recta AB via motûs, ad AC motum verti
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calem in eadem ratione: & ſecetur AB in ſegmenta æqualia
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ALMNOPB. </
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<
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maneret eadem proportio im
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pulſus ad gravitatem, motus medius eſſet diameter parallelo
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grammi ABDC per prop: 32. </
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ſum continuò abſumit: gravitas verò eadem manet; neceſſe
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continuò mutari hanc proportionem: pro ratione nimirum
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ſpatij tranſmiſſi Igitur abſumptâ parte impulſus æquali AL:
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principium motûs reliqui determinat AT diameter parallelo
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grammi APTC in E. propterea quòd TC ſit æqualis reſiduo
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impulſui LB. </
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>Rurſum peractâ plagâ æquali AM; erit princi
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pium motûs in F communi ſectione MF.
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AS lineæ dia
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gonalis parallelogrammi AOSC,
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ratione invenie
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mus puncta reliqua motûs ſinuoſi in GH I&c. </
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THEOREMA XIV.
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Linea motûs proiectorum non eſt circulus, ne〈que〉 ulla ſectionum
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conicarum.
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Supponamus primùm eſſe lineam circularem.
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<
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triangula APT, AEV ſuntſimilia, erit FV ad
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AV, ut AP ad TP. eſt autem TP pars 5 AP per probl: 4 Igitur & </
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