Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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inſuper eſt tangente V S, omnibusque partibus ſuis magis
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<
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<
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erectus quam ulla pars tangentis V S. </
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<
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xml:space
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jus ſit futurum tempus per tangentem V S cum celeritate ex
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B S, tempore per arcum B S poſt N B. </
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<
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xml:space
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per tangentem M T, cum celeritate ex B T, majus erit
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tempore per arcum S T poſt N S, & </
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<
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xml:space
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tem Π Y cum celeritate ex B Y, majus tempore per arcum
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T Y poſt N T. </
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<
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xml:space
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">Atque ita tempora motuum æquabilium
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per tangentes omnes usque ad infimam quæ tangit cycloi-
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dem in E, cum celeritatibus per ſingulas quantæ acquirun-
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tur cadendo ex B adusque punctum ipſarum contactus, ma-
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jora ſimul erunt tempore per arcum B E poſt N B. </
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<
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vero & </
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<
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">minora eſſent, ut nunc oſtendemus.</
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<
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xml:space
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">Conſiderentur enim denuo tempora eadem motuum æqua-
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bilium per tangentes cycloidis. </
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<
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xml:space
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tangentem V S cum celeritate ex B S, ad tempus per re-
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ctam Β Λ cum celeritate dimidia ex F A, ut tangens cir-
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cumferentiæ Δ Χ ad partem axis F P . </
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<
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xml:space
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præced.</
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pus per tangentem M T, cum celeritate ex B T, ad tem-
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pus per rectam Λ Ξ cum eadem dimidia celeritate ex F A,
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ut tangens Γ Σ ad rectam P Q. </
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<
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xml:space
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">Atque ita deinceps ſingula
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tempora per tangentes cycloidis, quæ ſunt eadem ſupradi-
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ctis, erunt ad tempora motus æquabilis per partes ſibi re-
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ſpondentes rectæ B I cum celeritate dimidia ex B Θ, ſicut
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tangentes circumferentiæ F H, iisdem parallelis compre-
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henſæ, ad partes rectæ F G ipſis reſpondentes.</
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<
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totidem aliæ, tempora ſcilicet quibus percurruntur rectæ
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Β Λ, Λ Ξ &</
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Β Θ; </
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<
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">Et unaquæque quantitas in prioribus ad ſequentem ea-
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dem proportione refertur, qua unaquæque poſteriorum ad
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ſuam ſequentem; </
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<
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<
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bus autem proportionibus priores quantitates ad alias quas-
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dam, nempe ad tangentes circuli Δ Χ, Γ Σ, &</
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tur, iisdem proportionibus & </
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que referuntur ad alias quasdam, nempe ad tempora </
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