Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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PROBLEMA II.
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Exceſſum, quo motus circuli in eodem plano eſt maior motu trianguli
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Iſogoni, indagare.
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>In eadem figurâ ſumptâ diametro circuli HN æquali EF,
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auferatur à plano HR linea HQ æqualis EG;
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eritq;
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motus trian
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guli in HQ æqualis duratione motui circuli in HM per 1. prop.
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motus verò eiuſdem circuli in plano HR æqualis duratione
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terminatur chordâ HR. per prop. 15. </
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>Exceſſus ergo, quo mo
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tus circuli in eodem plano eſt maior motu trianguli, erit æqua
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lis lineæ QR, quam inquirebamus. </
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PROBLEMA III.
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Motum figurarum rectilinearum periferiâ eiuſdem circuli
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terminare.
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>Centro H deſcribatur circulus: ad cuius periferiam eodem
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tempore ſit terminandus motus ex H. </
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>Inueniantur
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plana;
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in quibns ſemidiameter figuræ motûs in unâ
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quâq;
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figurâ recti
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lineâ, ſecetur ab hypomochlio in eadem ratione, in quâ ſecatur
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EF à CD per 1 Lemma. </
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>Et quia illarum grauitas mouens in
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planis iam inventis eandem rationem habet ad ſuum mobile:
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eruntmotus per poſit. 4 æquales, ac proinde ijſdem ſpatijs, hoc
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eſt periferiâ eiuſdem circuli terminabuntur. </
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PROBLEMA IV.
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Circulo æquale quadratum ex motu invenire.
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>Percutiat in motu circulus A alium circulum ſibi æqualem B;
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ex illa plagâ per ſpatium DE rurſum idem </
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