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.
THEOREMA XI.
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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