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

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

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1ad PR per theorem 8. erit quoque motus verticalis in OQ ad
motum inclinatum in OB, ut PQ ad PR. hoc eſt ut ſemidia

meter figuræ motûs ad huius ſegmentum inter centrum figu
ræ P & lineam hypomochlij NS.

14[Figure 14]

Simili ratione in quadrato K, ut KZ ad KL: & in pentago
nout TV ad TX, ita illorum motus verticalis ad motum incli
natum in OB.

Figura rectilinea velociùs mouetur in plano minùs inclinate.

Sint duo plana, quorum inclinatio CAK maior, & CAI
minor: dico in plano CAI minoris inclinationis, motum eſſe ve
lociorem. Ducantur ex D centro figuræ ad lineas verticales
AI. AK ſemidiametri figuræ motûs DF. DE: & ex angulo A
CB lineæ hypomochlij CG. CH parallelæ lincis verticalibus
AI. AK. Quia itaque maior eſt DE quàm DF, & DO minor
quàm DP; erit reſidua OE maior quàm PF. Maior proinde

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