Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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<
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<
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<
s
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xml:space
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">CEntri oſcillationis rationem haberi non poſſe,
<
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in pendulis inter Cycloides ſuſpenſis; </
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<
s
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xml:space
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">& </
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<
s
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xml:space
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">quomo-
<
lb
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do hinc orta difficultas tollatur.</
s
>
<
s
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xml:space
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</
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<
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<
s
xml:id
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xml:space
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">Si quis, ſubtili examine, contulerit ea quæ in ſuperiori-
<
lb
/>
bus, de pendulo inter cycloides ſuſpenſo, demonſtravimus,
<
lb
/>
cum his quæ ad centrum oſcillationis pertinent; </
s
>
<
s
xml:id
="
echoid-s4014
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xml:space
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">videbitur ei
<
lb
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deeſſe aliquid ad perfectam illam, quam præferimus, oſcil-
<
lb
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lationum æqualitatem. </
s
>
<
s
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xml:space
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">Ac primo dubitabit, an, ad inveni-
<
lb
/>
endum circulum cycloidis genitorem, pendulilongitudo ac-
<
lb
/>
cipienda ſit à puncto ſuſpenſionis ad centrum gravitatis ap-
<
lb
/>
penſi plumbi, an vero ad centrum oſcillationis; </
s
>
<
s
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xml:space
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">quod, abal-
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tero illo, ſæpe ſenſibili intervallo diſtat, atque eo majore,
<
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quo major fuerit ſphæra aut lens plumbea. </
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>
<
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xml:space
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">Quid enim, ſi
<
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ſphæræ diameter quartam, aut tertiam partem, pendulilon-
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gitudinis æquet? </
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>
<
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xml:space
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">Quod ſi ad centrum oſcillationis illam lon-
<
lb
/>
gitudinem accipiendam dicamus, non tamen expediet quo
<
lb
/>
pacto ea, quæ de centro oſcillationis oſtenſa ſunt, conve-
<
lb
/>
niant pendulo continue longitudinem ſuam immutanti, qua-
<
lb
/>
le illud quod inter cycloides movetur. </
s
>
<
s
xml:id
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xml:space
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preserve
">Poſſet enim videri, et-
<
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/>
iam centrum oſcillationis mutari, ad ſingulas diverſas longi-
<
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tudines; </
s
>
<
s
xml:id
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xml:space
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">quod tamen hoc modo intelligendum non eſt. </
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<
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xml:space
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">Res
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ſane explicatu difficillima, ſi omnimodam ἀκ{ρί}βει{αν} ſecte-
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mur. </
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>
<
s
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xml:space
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">Nam in demonſtratione temporum æqualium in cycloi-
<
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de, mobile, per eam delatum, veluti punctum gravitate præ-
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/>
ditum conſideravimus. </
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<
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xml:space
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">Sed, ſi ad effectum ſpectemus, non
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magni facienda eſt difficultas hæc; </
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>
<
s
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xml:space
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">cum ponderis, quo pen-
<
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/>
dulum conſtat, magnitudo in horologiis tanta non requiratur
<
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/>
(etſi quo majus eo melius) ut differentia centrorum gravita-
<
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/>
tis, & </
s
>
<
s
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xml:space
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">oſcillationis, aliquid hic turbare poſſit. </
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>
<
s
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xml:space
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">Quod ſi ta-
<
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/>
men effugere prorſus has tricas velimus, id ita conſequemur,
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ſi ſphæram lentemve penduli, circa axem ſuum horizontalem,
<
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/>
mobilem efficiamus: </
s
>
<
s
xml:id
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xml:space
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">axis extrema utrinque, virgæ penduli
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imæ, inſerendo: </
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>
<
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xml:space
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">quæ idcirco ut bifida hac parte ſit </
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