Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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.</
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+ vel -
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. </
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<
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xml:space
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">Ubi animadverten-
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dum, duas eſſe veras radices, ſi {1/2} a b p + c a p minus ſit
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quam {1/3} a a b + a a c; </
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<
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">hoc eſt, ſi longitudo p minor ſit quam
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{{1/3} a b + a c/{1/2} b + c}, quæ antea inventa fuit longitudo penduli iſochro-
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ni, ſive diſtantia centri oſcillationis à ſuſpenſione, in pen-
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dulo compoſito ex virga A C & </
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<
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<
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<
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">Unde patet, ſi velimus efficere, ut, applicato pondere D,
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acceleretur penduli motus; </
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<
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">poſſe duobus locis, inter A & </
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<
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illud diſponi, quorum utrolibet eadem celeritas pendulo
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concilietur: </
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<
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">Quæ loca æqualiter diſtabunt
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à puncto N, quod abeſt ab A, ſemiſſe longitudinis p, hoc
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eſt, ſemiſſe penduli ſimplicis, cui compoſitum hoc iſochro-
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num poſtulabatur. </
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<
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">Apparet autem, quando hæc longitudo p
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tantum exiguo minor ponitur quam A C, etiam punctum N
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exiguo ſuperius eſſe puncto medio virgæ A C.</
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<
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xml:space
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">Porro, ex æquatione ſuperiori, f = {1/2} p + vel -
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<
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habetur determinatio longitudi-
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nis p. </
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<
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xml:space
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">Patet enim, {1/4} p p + {1 a b p + a c p/2 d} non minus eſſe debere
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quam {1 a a b - a a c/3 d}. </
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<
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xml:space
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">Unde non debebit eſſe minor quam
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{a/d}
<
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@ a b - 2 a c/d}. </
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<
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xml:space
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">Quod ſi p æquetur
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huic quantitati, hoc eſt, ſi {1/4} p p + {1 a b p + a c p/2 d} fuerit æquale
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{1 a a b + a a c/3 d}, erit jam, in eadem ſuperiori æquatione, f = {1/2} p,
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hoc eſt, {a/2 d}
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{a b - 2 a c/2 d}. </
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<
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determinatur diſtantia ponderis D à puncto A, ex qua ma-
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xime omnium acceleret motum penduli.</
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<
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oſcillationibus ſcrupula ſecunda notet. </
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ſit 50
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gravitatis appenſi ponderis in imo pendulo: </
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<
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ter hoc, ſit aliud exiguum pondus mobile ſecundum virgæ
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longitudinem, cujus gravitas eadem ponatur quæ ipſius </
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