Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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>Idem Quadratum
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abcd
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occurrat plano
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ax
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ad angulos re
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ctos, motu centri
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e
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inæqualiter ſecante baſim
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ad
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in
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pd
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maius,
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&
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ap
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minus ſegmentum: dico motum reflecti in illam partem,
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in quâ eſt ſegmentum maius
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pd.
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Ductâ enim lineâ hypo
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mochlij
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ag,
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& à centro ad eam perpendiculari
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ef;
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erit gra
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uitas mouens centri à percuſſione quadratum
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ef,
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huius
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complementum quadratum
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af
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menſura plagæ: vectis autem
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ea,
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cuius quadratum grauitas tota, ſeu impulſus. </
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>Et quia
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plaga fit per lineam
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ea;
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erit motus à percuſſione in eadem lineâ
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ea:
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per 5 theor. 2 part: motus autem centri à reliquo impulſu
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in lineâ
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ek
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tangente circuli centro
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a
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deſcripti. </
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>Quòd ſi ergo
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fiat ut
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ef
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motus centri ad
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af
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motum repercuſſum, ita
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ek
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ad
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eh;
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erit diameter parallelogrammi
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ehik
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motus medius per
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prop: 32 ac proinde motus reflexus in partem ſegmenti ma
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ioris </
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THEOREMA V.
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Motus Pentagoni perpendicularis ad planum & latus eiusdem,
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in ſe ipſum reflectit.
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<
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>Nam in primâ quidem figurâ, quia & motus centri & pla
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ga tota eſt in lineâ
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ef;
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erit motus reflexus in eadem lineâ
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ef.
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In ſecundâ autem figurâ lineæ percuſſionis ſunt
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fa fg fe:
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motus ergò reflexus in
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fh. fc. fi.
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Et quia motus in
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fh
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&
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fi
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ſunt ſub contrarij
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inter ſe æquales per defini: 4 erit per
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prop: 32 motus medius linea
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fc:
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ac proinde cùm hæc ſit via con
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tri, motus in ſe ipſum reflectit. </
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