Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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ad PR per theorem 8. erit
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motus verticalis in OQ ad
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motum inclinatum in OB, ut PQ ad PR. hoc eſt ut ſemidia
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meter figuræ motûs ad huius ſegmentum inter centrum figu
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ræ P & lineam hypomochlij NS. </
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>Simili ratione in quadrato K, ut KZ ad KL: & in pentago
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nout TV ad TX, ita illorum motus verticalis ad motum incli
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natum in OB. </
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THEOREMA XI.
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Figura rectilinea velociùs mouetur in plano minùs inclinate.
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>Sint duo plana, quorum inclinatio CAK maior, & CAI
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minor: dico in plano CAI minoris inclinationis, motum eſſe ve
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lociorem. </
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>Ducantur ex D centro figuræ ad lineas verticales
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AI. AK ſemidiametri figuræ motûs DF. DE: & ex angulo A
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CB lineæ hypomochlij CG. CH parallelæ lincis verticalibus
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AI. AK. </
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maior eſt DE quàm DF, & DO minor
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quàm DP; erit reſidua OE maior quàm PF. </
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