Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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PARS TERTIA.
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DE MOTV REFLEXO FIGVR ARVM
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RECTILINEARVM.
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E gi de motu reflexo in lib: de proport: motûs, à prop: 36. ad 40. ve
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rùm hunc non niſi in circulo expendi. </
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culi motus quo〈que〉 reſtexus interueniat; dum ab illatâ plagâ aliò, quàm
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ferebatur, viam capeßit: hic tamen unà hypomochlium mouetur: ne〈que〉
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huius principium eſt grauitas. </
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>Neceſſe ergo in figuris quo〈que〉 rectilineis
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hunc motum reflexum, quatenus à grauitate & hypomochlio immoto
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procedit, conſidexare.
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THEOREMA I.
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Motus trianguli Iſogoni ad planum & baſim perpendicularis, in
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ſe ipſum reflectit.
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>TRiangulo
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abc
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labenti occurrat planum
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az:
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motus
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centri
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d
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ad illud planum, & baſim
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ab
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perpendicularis
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dico hunc motum in ſe ipſum reflecti. </
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figurâ motus centri
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huius plaga eſt in eadem lineâ
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dc:
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da
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bit ergo plagam perfectam. & quia per eandem lineam
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dc
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re
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cipit à percuſſo æqualem illi, quam dedit plagam per 5 theor:
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2 partis, motus in ſe ipſum reflectit. </
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percuſſio fit per idem theor. per lineas
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da, df, db;
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eſtq motus
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centri in lineâ
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df:
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erit ergo motus reflexus à plagâ
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df
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in ea
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dem lineâ
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df.
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at verò plaga in
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ad
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&
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bd
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centrum
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d
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reper
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cuſſum in partes agit
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dg. de.
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& quia plaga in
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da
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eſt æqualis </
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