Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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rum à diſtantiis, quibus unumquodque pondus ab-
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<
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<
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<
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eſt ab axe oſcillationis, applicetur ad diſtantiam
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centri gravitatis communis ab eodem oſcillationis
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axe, multiplicem ſecundum ipſorum ponderum nu-
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merum, orietur longitudo penduli ſimplicis compo-
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ſito iſochroni.</
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<
s
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xml:space
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">Sint poſita eadem quæ prius, ſed pondera omnia inter ſe
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æqualia intelligantur, & </
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<
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">ſingula dicantur a. </
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<
s
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xml:space
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">Rurſus vero
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nulla eorum magnitudo conſideretur, ſed pro minimis ha-
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beantur, quantum ad extenſionem.</
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<
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xml:space
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<
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<
s
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xml:space
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">Itaque penduli ſimplicis iſochroni longitudo, per propo-
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ſitionem antecedentem, erit {a e e + a f f + a g g/a d + a d + a d}. </
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<
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echoid-s2981
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xml:space
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preserve
">Vel, quia quanti-
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tas diviſa ac dividens utraque per a dividitur, fiet nunc ea-
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lb
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dem longitudo, {e e + f f + g g/3d}. </
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>
<
s
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echoid-s2982
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xml:space
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preserve
">Quo ſignificatur ſumma quadra-
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torum à diſtantiis ponderum ab axe oſcillationis, applicata
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ad diſtantiam centri gravitatis omnium ab eodem oſcillatio-
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nis axe, multiplicem ſecundum numerum ipſorum ponde-
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rum, qui hic eſt 3. </
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<
s
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xml:space
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">facile enim perſpicitur numerum hunc,
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in quem ducitur diſtantia d, reſpondere neceſſario ipſi pon-
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derum numero. </
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<
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xml:space
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">Quare conſtat propoſitum.</
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<
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<
s
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xml:space
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">Quod ſi pondera æqualia in unam lineam rectam conjun-
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cta ſint, atque ex termino ejus ſuperiore ſuſpenſa; </
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>
<
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xml:space
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">conſtat
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diſtantiam centri gravitatis, ex omnibus compoſitæ, ab axe
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oſcillationis, multiplicem ſecundum ponderum numerum,
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æquari ſummæ diſtantiarum omnium ponderum ab eodem
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oſcillationis axe ; </
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<
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">ac proinde, hoc caſu, habebitur
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xml:space
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">Prop. 2.
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huj.</
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longitudo penduli ſimplicis, compoſito iſochroni, ſi ſumma
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quadratorum à diſtantiis ponderum ſingulorum ab axe oſcil-
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lationis, dividatur per ſummam earundem omnium diſtan-
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tiarum.</
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