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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">IIsdem poſitis, ſi tertia recta prioribus parallela
<
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xml:space
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Fig. 3.</
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D K, circulum ſecuerit, quæ ab ea quæ centro
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propior eſt A F, tantundem diſtet quantum hæc à
<
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reliqua B G: </
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<
s
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xml:space
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">dico partem tangentis in A, à pa-
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rallela ultimo adjecta, & </
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<
s
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xml:space
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pe A D, arcu A C à primis duabus parallelis in-
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tercepto minorem eſſe.</
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</
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<
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xml:space
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">Hoc enim patet quum A D ipſi A B æqualis ſit, quam
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antea oſtendimus arcu A C minorem eſſe.</
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<
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xml:space
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">SI circulum, cujus centrum E, duæ rectæ paral-
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Fig. 4.</
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lelæ ſecuerint A F, B G; </
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<
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">& </
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<
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">à puncto B, ubi
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quæ à centro remotior eſt, vel tantundem atque
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altera diſtat, circumferentiæ occurrit, ducatur
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recta circumferentiam tangens: </
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<
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xml:space
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">erit pars hujus
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B A, à parallelis intercepta, major arcu ab iis-
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dem parallelis intercepto B C.</
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</
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<
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<
s
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xml:space
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">Ducatur enim in puncto C, recta M C L circumferentiam
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tangens, quæ occurrat tangenti B A in L. </
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<
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tur A C L, angulus C æqualis eſt angulo M C F, hoc eſt,
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ei quem capit portio circuli C B F. </
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<
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">angulus autem A æqua-
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tur angulo quem capit portio circuli B C G, quæ portio
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quum ſit major vel æqualis portioni C B F, quippe quum
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B G vel ulterius diſtet à centro quam C F, vel tantun-
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dem: </
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<
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xml:space
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">erit proinde trianguli A C L angulus A minor vel
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æqualis angulo C: </
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">& </
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<
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">conſequenter latus C L vel minus
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vel æquale lateri A L. </
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<
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ſunt arcu C B. </
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<
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