Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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<
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xml:space
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<
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<
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<
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.
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TAB. XX.
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Fig. 6.</
note
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jus centrum gravitatis D. </
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<
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xml:space
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">quo eodem centro, circumferentia
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circuli in eodem plano deſcribatur, E C F. </
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<
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xml:space
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">Dico, ſi à quo-
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vis in illa puncto, ut E, C, vel G, ſuſpenſa figura agite-
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tur in latus; </
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<
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xml:space
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nam eſſe.</
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<
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<
s
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xml:space
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">Sit prima ſuſpenſio ex E puncto, quando autem eſt extra
<
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figuram, ut hic, putandum eſt lineam E H, ex qua figura
<
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pendet, rigidam eſſe, atque immobiliter ipſi affixam.</
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<
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<
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<
s
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xml:space
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">Intelligatur figura A B C diviſa in particulas minimas æ-
<
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quales, à quarum omnium centris gravitatis, ad punctum
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E, rectæ ductæ ſint; </
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<
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xml:space
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">quas quidem manifeſtum eſt, quum
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moveatur figura motu in latus, eſſe ad axem agitationis per-
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pendiculares. </
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<
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xml:space
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">Harum igitur omnium perpendicularium qua-
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drata, diviſa per rectam E D, multiplicem ſecundum nu-
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merum particularum in quas figura diviſa eſt, efficiunt lon-
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gitudinem penduli ſimplicis, figuræ iſochroni , quæ ſit K L.</
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xlink:label
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xml:space
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">Prop. 6.
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huj.</
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Suſpensâ autem figurâ ex puncto G, rurſus longitudo pen-
<
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duli ſimplicis iſochroni invenitur, dividendo quadrata omnia
<
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linearum, quæ à particulis figuræ ducuntur ad punctum G,
<
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/>
per rectam G D, multiplicem ſecundum earundem particu-
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larum numerum . </
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<
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xml:space
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xml:space
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xml:space
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huj.</
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cumferentia deſcripta cetnro D, quod eſt centrum gravitatis
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figuræ A B C, ſive centrum gravitatis punctorum omnium,
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quæ centra ſunt particularum figuræ æqualium; </
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<
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xml:space
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">erit proinde
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ſumma quadratorum à lineis, qnæ à dictis particulis ad pun-
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ctum G ducuntur, æqualis ſummæ quadratorum à lineis quæ
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ab iiſdem particulis ducuntur ad punctum E . </
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xml:space
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præced.</
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quadratorum ſummæ, utraque ſuſpenſione, applicantur ad
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magnitudines æquales: </
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<
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xml:space
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ctam E D, multiplicem ſecundum numerum omnium par-
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ticularum; </
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<
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xml:space
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multiplicem ſecundum earundem particularum numerum.
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</
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<
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ſuſpenſio eſt ex G, fieri longitudinem penduli iſochroni ean-
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dem atque ex applicatione priori, hoc eſt, eandem ipſi K L.</
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