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

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PARS TERTIA.

DE MOTV REFLEXO FIGVR ARVM

RECTILINEARVM.

E gi de motu reflexo in lib: de proport: motûs, à prop: 36. ad 40. ve
rùm hunc non niſi in circulo expendi. Licet verò in Quadraturâ cir
culi motus quo〈que〉 reſtexus interueniat; dum ab illatâ plagâ aliò, quàm
ferebatur, viam capeßit: hic tamen unà hypomochlium mouetur: ne〈que〉
huius principium eſt grauitas. Neceſſe ergo in figuris quo〈que〉 rectilineis
hunc motum reflexum, quatenus à grauitate & hypomochlio immoto
procedit, conſidexare.

THEOREMA I.

Motus trianguli Iſogoni ad planum & baſim perpendicularis, in
ſe ipſum reflectit.

TRiangulo abc labenti occurrat planum az: ſitque motus
centri d ad illud planum, & baſim ab perpendicularis
dico hunc motum in ſe ipſum reflecti. Nam in primâ quidem
figurâ motus centri atque huius plaga eſt in eadem lineâ dc: da
bit ergo plagam perfectam. & quia per eandem lineam dc re
cipit à percuſſo æqualem illi, quam dedit plagam per 5 theor:
2 partis, motus in ſe ipſum reflectit. In ſecundâ autem figurâ
percuſſio fit per idem theor. per lineas da, df, db; eſtq motus
centri in lineâ df: erit ergo motus reflexus à plagâ df in ea
dem lineâ df. at verò plaga in ad & bd centrum d reper
cuſſum in partes agit dg. de. & quia plaga in da eſt æqualis

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