Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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Inſtabis ſi totus impulſus, VG trianguli ABC, ſecatur in duo qua
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drata DE at〈qué〉 EA: quia motus eſt æqualis impulſui; erit ut quadra
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tum DE ad quadratum EA, ita motus centri ad motum reflexum à
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plagâ in DG. maior ita〈qué〉 DG quàm AE: nimirum in ratione duplica
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tà eius, quam habet AE ad DE: ac proinde angulus reflexionis minor
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angulo GDH.
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>Reſpondeo cùm motus augeatur pro ratione impulſús; hu
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ius verò incrementa pro ratione illius morulæ, in quâ perfici
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tur plaga, habeant rationem quadrati; neceſse
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motum
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inter ſe conferri ut quadrata. </
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>Quod confirmatur à poſterio
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ri. </
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<
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omnium aſſenſu pilam reflecti
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ad angulos æquales: hoc autem nullâ ratione fieri poteſt, niſi
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motus ad ſe referantur ut quadrata. </
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>Aſſumatur enim figura
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prop: 39: in quâ angulus incidentiæ CDA æquatur angulo
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reflexionis IAB: dico impulſum, & qui hunc ſequitur motum
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centri grauitatis reſiduum à plagâ, eandem rationem habere
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ad motum inde reflexum, quam habet quadratum EF ad qua
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dratum FD, hoc eſt per prop: 12. illorum durationem eſſe
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