Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

Table of figures

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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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              <s>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. </s>
              <s>Quod confirmatur à poſterio­
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              ri. </s>
              <s>Conſtat experientiâ,
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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. </s>
              <s>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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Impressum