Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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& FK ad GL. ſunt verò & triangula AMF, ANG,
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atq;
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trian
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gula AMK. ANL ſimilia. </
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>Igitur ut AM ad AN, ita MF ad
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NG, & MK ad NL: ac proinde reſidua KF ad
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reſiduã
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LG.
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cùmq;
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ſit ut FK ad GL, ita FH ad GI: & ut eadem FK ad GL,
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ita FM ad GN; erit
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quoq;
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FH ad GI, ut FM ad GN. </
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Quiàitaq;
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grauitas mouens ſeu impulſus ad totum impulſum rationem
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habet,
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quã
">quam</
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GI ad GN, & FH ad FM, hoc eſt
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ſegmentũ
">ſegmentum</
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ſemidiame
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tri inter centrum figuræ & hypomochlium, ad ſemidiametrum
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figuræ motûs per theo. 3. erit in
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utroq;
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triangulo eadem pro
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portio motûs inclinati ad motum verticalem. </
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Cùmq;
">Cùmque</
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mo
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tus verticales inter ſe ſint æquales; per Axioma 4. erunt
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quoq;
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motus inclinati inter ſe æquales. </
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>Et quia FM eſt maior quàm
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GN, erit FH grauitas movens in triangulo ABC maior, quàm
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GI grauitas movens in triangulo ADE. </
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THEOREMA XIII.
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Grauitas quieſcens inæqualium & ſimilium figurarum eſt inæqualis,
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& inæqualiter grauitat.
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