Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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B D. </
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.</
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E A: </
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">eadem vero E A
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æquatur, uti diximus, & </
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go B D duplæ A B æqualis erit; </
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<
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dum.</
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<
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ribus transmiſſa, quorum utrumque ab initio
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deſcenſus accipiatur, ſunt inter ſe in ratione du-
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plicata eorundem temporum, ſive ut temporum qua-
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drata, ſive etiam ut quadrata celeritatum in fine
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cujusque temporis acquiſitarum.</
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<
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">Quum enim oſtenſum ſit propoſitione antecedenti ſpa-
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Fig. 1.</
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tia A B, B E, E G, G K, quotcunque fuerint, æqualibus
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temporibus à cadente, peracta, creſcere æquali exceſſu, qui
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exceſſus ſit ipſi B D æqualis: </
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dupla A B, ſpatium B E fore triplum A B; </
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plum ejuſdem A B; </
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<
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">aliaque deinceps au-
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ctum iri ſecundum progreſſionem numerorum imparium ab
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unitate, 1, 3, 5, 7, 9, &</
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merorum, ſeſe conſequentium, ſumma faciat quadratum,
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cujus latus eſt ipſa adſumptorum numerorum multitudo (ve-
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lut ſi tres primi addantur, facient novem, ſi quatuor ſexde-
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cim) ſequitur hinc ſpatia, à gravi cadente tranſmiſſa, quo-
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rum utrumque à principio caſus inchoetur, eſſe inter ſe in
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ratione duplicata temporum quibus caſus duravit, ſi nempe
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tempora commenſurabilia ſumantur.</
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Fig. 2.</
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tio extendetur. </
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ſe ratio ea quæ linearum A B, C D. </
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his tranſmiſſa ſint E, & </
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ſcenſus adſumpta. </
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tum C D, ita ſpatium E ad F.</
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