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

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198123HOROLOG. OSCILLATOR. ſuo ipſorum æquilibrio, translata appareat. quod erat oſten-
11De centr@
OSCILLA-
TIONIS. dendum. Eademque de quotcunque aliis eſt demonſtratio.

Hæc autem hypotheſis noſtra ad liquida etiam corpora
valet, ac per eam non ſolum omnia illa, quæ de innatanti-
bus habet Archimedes, demonſtrari poſſunt, ſed & alia ple-
raque Mechanicæ theoremata. Et ſanè, ſi hac eadem uti
ſcirent novorum operum machinatores, qui motum perpe-
tuum irrito conatu moliuntur, facile ſuos ipſi errores depre-
henderent, intelligerentque rem eam mechanica ratione haud-
quaquam poſſibilem eſſe.

II.

Remoto aëris, alioque omni impedimento mani-
feſto, quemadmodum in ſequentibus demonſtratio-
nibus id intelligivolumus, centrum gravitatis pen-
duli agitati, æquales arcus deſcendendo ac aſcen-
dendo percurrere.

De pendulo ſimplici hoc demonſtratum eſt propoſitione 9
de Deſcenſu gravium. Idem vero & de compoſito tenendum
eſſe declarat experientia; ſiquidem, quæcunque fuerit pen-
duli figura, æque apta continuando motui reperitur, niſi in
quantum plus minusve aëris objectu impeditur.

PROPOSITIO I.

POnderibus quotlibet ad eandem partem plani
exiſtentibus, ſi à ſingulorum centris gravitatis
agantur in planum illud perpendiculares; hæ ſin-
gulæ in ſua pondera ductæ, tantundem ſimul effi-
cient, ac perpendicularis, à centro gravitatis pon-
derum omnium in planum idem cadens, ducta in
pondera omnia.

Sint pondera A, B, C, ſita ad eandem partem plani,
22TAB. XVII@
Fig. 1.

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Scan	Original
81
82	49
83	50
84	51
85	52
86
87
88
89	53
90	54
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
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