Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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ut EF. FD latera eorundem quadratorum. </
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<
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>Producatur enim
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linea DE motûs reflexi:
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ipſi DI ſumatur parallela EG
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ex G verò demittantur perpendiculares GH. GK. </
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>Quia
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recta ED eſt perpendicularis ad AB, & angulus CDA aſſumptus
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æqualis angulo IDB; erit angulus reliquus CDE æqualis angu
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lo reliquo EDI, hoc eſt illi æquali HEG. & cùm rectus ſit
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angulus EFD. EHG,
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HEG æqualis EDF; erunt triangula EFD.
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GHE ſimilia. </
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>Igitur ut EF ad FD, ita HG, ſeu EK ad EH. </
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verò dicendum in hac demonſtratione circulum committi. ſi
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quidem hic ab effectu per experientiam cognito, ea principia
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ſtabiliuntur; ex quibus propoſitione 39. aliâ viâ notis hic idem
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effectus tanquam illorum concluſio infertur, </
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Obijcies. </
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>Motum reflexum non augeri ea modo, quo triangulum ſibi
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ſimile manens: non igitur ad ſe referri ut quadrata. </
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>Et de impulſu
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quidem reflexo videtur manifeſtum: Quod hic à percußione oriatur,
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at〈qué〉 continuò, ex quo cæpit, minuatur. </
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>Idem verò probatur de impul
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ſu, quem centrum grauitatis retinet ad ſe librandum. </
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>Nam cùm prin
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cipium huius augmenti ſit grauitas, motus verò reflexus fiat in partes
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oppoſitas grauitati; nequit grauitas influere in hunc motum: quin poti
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us eidem reniti, & grauitando ipſum minuere: uti manifeſtum in fine
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motûs reflexi & in arcum ſinuati.
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<
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>Reſpondeo nos hic principia motûs reflexi inter ſe confer
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re: quæ conſtat vim quadrati habere: licet fortè in progreſſu
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mutari contingat illam proportionem. </
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<
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>An verò grauitas in
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fluat in motum reflexum dubitari poteſt. </
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>Nam ſi ita, idem
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videtur dicendum de motu proiectorum: nullus proinde mo
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tus rectus. </
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>At verò ſi proiecta non ferantur lineâ rectâ, quâ ra
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tione ictus certi eſſe poſſunt? et tamen conſtat eſſe inter Scyt
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has adeo ſagittandi peritos, ut pomum vertici impoſitum, aut </
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