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

Scan	Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80

Idem Quadratum abcd occurrat plano ax ad angulos re
ctos, motu centri e inæqualiter ſecante baſim ad in pd maius,
& ap minus ſegmentum: dico motum reflecti in illam partem,
in quâ eſt ſegmentum maius pd. Ductâ enim lineâ hypo
mochlij ag, & à centro ad eam perpendiculari ef; erit gra
uitas mouens centri à percuſſione quadratum ef, atque huius
complementum quadratum af menſura plagæ: vectis autem
ea, cuius quadratum grauitas tota, ſeu impulſus. Et quia
plaga fit per lineam ea; erit motus à percuſſione in eadem lineâ
ea: per 5 theor. 2 part: motus autem centri à reliquo impulſu
in lineâ ek tangente circuli centro a deſcripti. Quòd ſi ergo
fiat ut ef motus centri ad af motum repercuſſum, ita ek ad
eh; erit diameter parallelogrammi ehik motus medius per
prop: 32 ac proinde motus reflexus in partem ſegmenti ma
ioris

THEOREMA V.

Motus Pentagoni perpendicularis ad planum & latus eiusdem,
in ſe ipſum reflectit.

Nam in primâ quidem figurâ, quia & motus centri & pla
ga tota eſt in lineâ ef; erit motus reflexus in eadem lineâ ef.
In ſecundâ autem figurâ lineæ percuſſionis ſunt fa fg fe:
motus ergò reflexus in fh. fc. fi. Et quia motus in fh & fi
ſunt ſub contrarij atque inter ſe æquales per defini: 4 erit per
prop: 32 motus medius linea fc: ac proinde cùm hæc ſit via con
tri, motus in ſe ipſum reflectit.

Page concordance

Text layer

Text normalization

Search

Scan	Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80

Scan	Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80

Scan	Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80