Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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<
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>Inquirendum iam ſit centrum grauitatis in quadrato GHIK.
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in quo ductis diametris GI. HK; erit per prop. 10. eiuſdem li
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bri centrum grauitatis in communi ſectione L. </
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>Similiratione inveniemus centrum grauitatis in pentagono
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isopleuro. ſinimirum ex angulis O & P ducantur lineæ OV.
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PS perpendiculares ad latus oppoſitum. </
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grauitatis in communi ſectione T. propterea quòd
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figu
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ram ſecat bifariam: uti manifeſtum, ſi in triangula reſoluatur. </
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THEOREMA X.
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Motus verticalis figuræ rectilineæ ad motum inclinatum eſt in ratione
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ſemidiametri figuræ motûs ad huius ſegmentum, quod eſt inter
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centrum figuræ & lineam hypomochlij.
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<
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>Moveatur triangulum OMN in plano OB: & ex puncto N
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ducatur linea hypomochlij NS, parallela lateri motus OQ:
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ex centro autem figuræ P, per proximum Lemma inuento, a
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gatur PQ perpendicularis ad OQ Dico motum verticalem
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in OQ ad motum inclinatum in OB eſſe, ut PQ ad PR. </
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>Quia enim gravitas mouens ex præmiſſis, & per poſit. 4- de
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prop. motûs, eſt æqualis motui; grauitas antem tota, ſeu ver
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ticaliter movens ad grauitatem mouentem in OB eſt ut PQ </
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