Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
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1648
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eſt HI. </
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>Igitur ſi aſſumatur duplum quadrati C, inventum erit
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quadratum æquale dato circulo B. </
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Alius modus quadrandi circulum ex motu.
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LEMMA I.
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Si figuræ maior in motu percutiat minorem, habeat verò ſegmentum
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ſemidiametri figuræ motûs, quod eſt inter lineam hypomochlij, et extre
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mum motûs, eandem rationem ad alterum ſegmentum, quod eſt inter
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eandem lineam hypomochlij & figuræ centrum, quam habet figura
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minor ad maiorem, motus maioris à percußione erit parallelus lineæ
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rectæ per contactum.
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>Percutiat quadratum ABCD circulum H in G. & duca
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tur linea hypomochlij GI ſecans ſemidiametrum figuræ mo
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tûs AE in F:
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AF ad FE, ut circulus H ad quadratum
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ABCD: Dico motum quadrati à percuſſione eſſe parallelum
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lateri AB, hoc eſt lineæ rectæ per contactum G. </
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