Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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Table of Notes
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HOROLOG. OSCILLATOR.
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<
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xml:space
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TAB. XVIII.
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Fig. 1.</
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ſint æqualia; </
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<
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xml:space
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">dico ſummam omnium perpendi-
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cularium A D, B E, C F, æquari perpendicula-
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ri, à centro gravitatis ductæ, G H, multiplici
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ſecundum ponderum numerum.</
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<
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<
s
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xml:space
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">Quum enim ſumma productorum, à ponderibus ſingulis
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in ſuas perpendiculares, æquetur producto ex G H in pon-
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dera omnia; </
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<
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xml:space
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">ſitque hìc, propter ponderum æqualitatem,
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ſumma illa productorum æqualis producto ex uno pondere
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in ſummam omnium perpendicularium; </
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<
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xml:space
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ex G H in pondera omnia, idem quod productum ex pon-
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dere uno in G H, multiplicem ſecundum ponderum nume-
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rum: </
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<
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xml:space
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ipſi G H, multiplici ſecundum ponderum numerum. </
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erat demonſtrandum.</
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">SI magnitudines quædam deſcendant omnes, vel
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aſcendant, licet inæqualibus intervallis; </
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<
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tudines deſcenſus vel aſcenſus cujusque, in ipſam
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magnitudinem ductæ, efficient ſummam producto-
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rum æqualem ei, quæ fit ex altitudine deſcenſus
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vel aſcenſus centri gravitatis omnium magnitudi-
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num, ducta in omnes magnitudines.</
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<
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">Sunto magnitudines A, B, C, quæ ex A, B, C, deſcen-
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Fig. 2.</
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dant in D, E, F; </
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A, B, C, eadem altitudine cum puncto G; </
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<
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xml:space
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D, E, F, eadem altitudine cum puncto H. </
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productorum ex altitudine A D in A, B E in B, C F in C,
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æquari producto ex G H in omnes A, B, C.</
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