Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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nas habeat pendulo ſimplici A N, etiam totum Ellipſeos
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.</
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planum, ex A ſuſpenſum & </
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<
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xml:space
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">in latus agitatum, ipſi A N
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pendulo iſochronum fore. </
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<
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bet, quæ lineis una vel duabus, ad A N perpendicularibus,
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abſcindetur.</
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<
s
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">Cæterum adſcribemus & </
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<
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">aliud loci plani exemplum, in
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quo nonnulla notatu digna occurrunt.</
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<
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xml:space
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">Sit virga A B ponderis expers, ſuſpenſa ex A; </
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">TAB.XXIV.
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Fig. 6.</
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que, ad datum in ea punctum B, affigere triangula duo pa-
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ria, & </
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">paribus angulis ab axe A B recedentia, quorum an-
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guli ad B minimi, ſive infinite parvi exiſtimandi, quæque,
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ita ſuſpenſa ab A, oſcillationes iſochronas faciant pendulo
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ſimplici datæ longitudinis A L.</
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</
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<
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<
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">Hic, ducta C G perpendiculari in B G, & </
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A B = a; </
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">A L = b; </
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xml:space
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">B G = x; </
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<
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xml:space
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">C G = y: </
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<
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">invenitur æqua-
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tio y =
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">2 a b - 2 a a - {8/3} a x + {4/3} b x - x x</
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ex qua patet, baſes
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triangulorum C, & </
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">D, quæ baſes hic ut puncta conſide-
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rantur, eſſe ad circuli circumferentiam; </
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terminus ſimplex - x x.</
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<
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">Licet autem hic animadvertere, quod ſi a ſit nihilo æqua-
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">TAB. XXV.
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Fig. 1.</
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lis, hoc eſt, ſi punctum, ubi affiguntur trianguli B C,
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B D, ſit idem cum puncto A; </
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<
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">tum futura ſit æquatio
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y =
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. </
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<
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">Ac proinde, hoc caſu, ſi ſumatur A O
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= {2/3} b, hoc eſt, = {2/3} A L, centroque O per A circulus de-
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ſcribatur A D N; </
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<
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">erunt baſes triangulorum A C, A D, ad
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illius circumferentiam. </
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<
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">Cum igitur quælibet duo triangula
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acutiſſima, quæ ex A ad circumferentiam A C N D conſti-
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tuuntur, magnitudine & </
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">ſitu ſibi reſpondentia, centrum
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oſcillationis habeant punctum L, poſitâ A L = {3/4} diametri
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A N; </
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ribus componatur; </
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latera A C, A D æqualia habens; </
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culi totius, tum portionis qualem diximus, centrum oſcilla-
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tionis eſſe in L.</
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<
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">Rurſus, ſi in æquatione inventa ponatur {8/3} a = {4/3} b, ſeu
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Fig. 2.</
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