Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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in plerisque figuris, quæ in Geometria conſiderari conſueve-
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<
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<
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.</
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runt, definire oſcillationis centra. </
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<
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xml:space
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ris primum dicamus; </
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<
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xml:space
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">duplicem in iis oſcillationis motum
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ſupra definivimus; </
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<
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xml:space
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">nempe, vel circa axem in eodem cum
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figura plano jacentem, vel circa eum qui ad figuræ planum
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erectus ſit. </
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<
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xml:space
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">Quorum priorem vocavimus agitationem in pla-
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num, alterum agitationem in latus.</
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<
s
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xml:space
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">Quod ſi priore modo agitetur, nempe circa axem in eo-
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">TAB. XXII.
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Fig. 4. & 5.</
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dem plano jacentem, ſicut figura B C D circa axem E F;
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</
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<
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">hic, ſi cuneus ſuper figura intelligatur abſciſſus, plano quod
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ita ſecet planum figuræ, ut interſectio, quæ hic eſt D D,
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ſit parallela oſcillationis axi; </
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<
s
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xml:space
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">deturque diſtantia centri gra-
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vitatis figuræ ab hac interſectione, ut hic A D; </
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<
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xml:space
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">itemque
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ſubcentrica cunei dicti ſuper eadem interſectione, quæ hic
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ſit D H. </
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<
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xml:space
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">Habebitur centrum oſcillationis K, figuræ B D C,
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applicando rectangulum D A H ad diſtantiam F A; </
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<
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">quo-
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niam ex applicatione hac orietur diſtantia A K, qua cen-
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trum oſcillationis inferius eſt centro gravitatis. </
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<
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xml:space
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">Eſt enim re-
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ctangulum D A H, multiplex ſecundum numerum particu-
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larum figuræ B C D, æquale quadratis diſtantiarum ab re-
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cta B A C, quæ per centrum gravitatis A parallela ducitur
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axi oſcillationis E F. </
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<
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">Quare, applicando idem
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">Prop. 10.
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huj.</
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lum ad diſtantiam F A, orietur diſtantia A K, qua centrum
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oſcillationis inferius eſt centro gravitatis A .</
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xml:space
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huj.</
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<
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xml:space
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">Hinc manifeſtum eſt, ſi axis oſcillationis ſit D D, fieri
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centrum oſcillationis H punctum; </
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<
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">adeoque longitudinem
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D H, penduli ſimplicis iſochroni figuræ B C D, eſſe tunc
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ipſam ſubcentricam cunei, abſciſſi plano per D D, ſuper
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ipſam D D. </
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<
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non tamen demonſtratum.</
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<
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<
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">Quomodo autem centra gravitatis cuneorum ſuper figuris
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planis inveniantur, perſequi non eſt inſtituti noſtri, & </
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in multis nota ſunt. </
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lus, erit D H æqualis {5/8} diametri. </
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. </
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gravitate prædita, altero capite ſuſpenſa, iſochrona ſit </
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