Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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qui ſit axi F parallelus . </
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cum plano Z, multiplicia ſecundum numerum particularum
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xml:space
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">Prop. 47.
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lib. 1. Eucl.</
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magnitudinis A B C D, æqualia erunt quadratis diſtantia-
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rum ejusdem magnitudinis à dicto axe per E. </
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<
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I, multiplex ſecundum eundem particularum numerum, æ-
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quale poſitum fuit iisdem diſtantiarum quadratis. </
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<
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num I æquale eſt rectangulo O T H & </
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<
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ptis. </
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<
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">quod oſtendendum ſupererat.</
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<
s
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">Hinc rurſus manifeſtum fit, quod propoſitione 16 demon-
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ſtratum fuit; </
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<
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">nempe magnitudinem quamlibet, ſi aliter at-
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que aliter ſuſpendatur atque agitetur, ab axibus parallelis,
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qui à centro gravitatis ſuæ æqualiter diſtent, ſibi ipſi iſo-
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chronam eſſe.</
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<
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">Sive enim magnitudo A B C D ſuſpendatur ab axe F, ſi-
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ve ab axe L illi parallelo; </
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">patet eadem utrobique eſſe qua-
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drata diſtantiarum ab axe per E, qui ſit axibus F vel L pa-
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rallelus. </
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<
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">Unde & </
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<
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">planum I, cujus multiplex, ſecundum
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numerum particularum, æquatur quadratorum ſummæ, u-
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troque caſu idem erit. </
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<
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">Hoc vero planum, applicatum ad di-
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ſtantiam centri gravitatis ab axe oſcillationis, quæ utroque
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caſu eadem ponitur, efficit diſtantiam qua centrum oſcilla-
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tionis inferius eſt centro gravitatis; </
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<
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tia utroque caſu eadem erit. </
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">Velut ſi, facta ſuſpenſione ex
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L, fuerit dicta diſtantia E Y, erit ipſa æqualis E G; </
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">& </
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<
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ta Y L æqualis G F; </
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<
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">adeoque, in ſuſpenſione utraque,
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idem pendulum ſimplex iſochronum fit magnitudini A B C D.</
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">SI magnitudo eadem, nunc brevius nunc longius
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ſuſpenſa, agitetur; </
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<
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">erunt, ſicut diſtantiæ axi-
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um oſcillationis à centro gravitatis inter ſe, ita
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contraria ratione diſtantiæ centrorum oſcillationis
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ab eodem gravitatis centro.</
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<
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">Sit magnitudo, cujus centrum gravitatis A, ſuſpenſa pri-
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Fig. 3.</
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