Huygens, Christiaan - Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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9963HOROLOG. OSCILLATOR.

Elevationem plani vocamus altitudinem ejus ſecundum
11De de-
SCENSU
GRAVIUM. perpendiculum.
Fig. 4. 22Prop. 4.
huj. ſit aſcendere per totam B C. Ideoque cadens ex F in B, ſi continuet porro motum per B C; quod repercuſſu ad ſu- perficiem obliquam fieri poteſt; aſcendet usque in C, hoc eſt, altius quam unde decidit, quod eſt abſurdum.

Eodem modo oſtendetur neque per planum A B deciden-
ti minorem velocitatem acquiri quam per C B. Ergo per
utraque plana eadem velocitas acquiritur, quod erat demon-
ſtrandum.

Quod ſi vero, pro plano alterutro, ſumatur perpendicu-
lum ipſum planorum elevationi æquale, per quod decidere
mobile ponatur, ſic quoque eandem quam per plana incli-
nata velocitatem ei acquiri conſtat; eadem namque eſt de-
monſtratio.

Porro hinc jam recte quoque procedet demonſtratio alte-
rius theorematis Galileani, cui reliqua omnia, quæ de de-
ſcenſu ſuper planis inclinatis tradidit, ſuperſtruuntur. Nempe

PROPOSITIO VII.

TEmpora deſcenſuum ſuper planis diverſimode
inclinatis, ſed quorum eadem eſt elevatio, eſſe
inter ſe ut planorum longitudines.

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Scan	Original
91	55
92	56
93	57
94	58
95	59
96	60
97	61
98	62
99	63
100	64
101
102
103
104	65
105	66
106	67
107	68
108
109
110
111	69
112	70
113	71
114	72
115
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118	73
119	74
120	75

Scan	Original
91	55
92	56
93	57
94	58
95	59
96	60
97	61
98	62
99	63
100	64
101
102
103
104	65
105	66
106	67
107	68
108
109
110
111	69
112	70
113	71
114	72
115
116
117
118	73
119	74
120	75