Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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numerum particularum ſecctoris B C D, æquale erit quadra-
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tis diſtantiarum particularum ejus à puncto B. </
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<
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xml:space
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">Ideoque re-
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ctangulum N B O, applicatum ad B A, diſtantiam inter
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ſuſpenſionem & </
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<
s
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">centrum gravitatis ſectoris, dabit longitudi-
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nem penduli iſochroni, cum ſector ex B ſuſpenditur . </
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<
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note-0228-02
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xml:space
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">Prop. 17.
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huj.</
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autem rectangulum N B O = {1/2} r r: </
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<
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xml:space
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">diſtantia autem B A, ut
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jam ante diximus, = {2 br/3 p}. </
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<
s
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xml:space
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">Unde, facta applicatione, oritur {3 p r/4 b},
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longitudo penduli iſochroni, ut ante quoque inventa fuit.</
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<
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">Centrum oſcillationis Circuli, aliter quam ſupra.</
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<
s
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">Eodem modo etiam ſimpliciſſime, in circulo, centrum
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Fig. 1.</
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oſcillationis invenire licet. </
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<
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">Sit enim circulus G C F, cujus
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centrum B; </
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<
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">ſectorque in eo minimus intelligatur B C P,
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ſicut ante in ſectore B C D.</
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<
s
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">Cum igitur, ſecundum modo expoſita, quadrata, à di-
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ſtantiis particularum ſectoris B C P ad centrum B, æquen-
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tur rectangulo N B O, hoc eſt, dimidio quadrato radii,
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multiplici ſecundum ſectoris ipſius particularum numerum;
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</
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<
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">circulus autem ex ejusmodi ſectoribus componatur; </
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<
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">erunt
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proinde quadrata, à diſtantiis particularum circuli totius ad
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centrum B, æqualia dimidio quadrato radii, multiplici ſe-
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cundum numerum earundem circuli particularum.</
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<
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">Eſt autem B centrum gravitatis circuli. </
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<
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">Ergo dictum di-
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midium quadratum radii, hic erit ſpatium applicandum di-
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ſtantiæ inter ſuſpenſionem & </
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<
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">centrum B, ut habeatur inter-
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vallum, quo centrum oſcillationis inferius eſt ipſo centro B .</
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<
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xml:space
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">Prop. 18.
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@uj.</
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quod & </
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<
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style
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">Centrum oſcillationis Peripheriæ circuli.</
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<
s
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xml:space
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">Facilius etiam, centrum oſcillationis circumferentiæ cir-
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<
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">TAB.XXIV.
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Fig. 2.</
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culi, hoc pacto reperitur. </
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pta centro B, radio B R. </
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">Quadratum igitur B R, multi-
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plex ſecundum numerum particularum in quas circumferen-
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tia diviſa intelligitur, æquatur quadratis à diſtantiis </
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