Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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<
s
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xml:space
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">Intelligatur enim planum horizontale cujus ſectio recta
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M P, atque in ipſum incidant productæ A D, B E, C F
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& </
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<
s
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xml:space
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">Quia igitur ſumma productorum ex A M in A, B N in B,
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C O in C, æqualis eſt facto ex G P in omnes A, B, C .</
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xml:space
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">Prop. 1.
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huj.</
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Similiterque ſumma productorum ex D M in A, E N in B,
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F O in C, æqualis facto ex H P in omnes A, B, C; </
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<
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quitur & </
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xml:space
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">exceſſum priorum productorum ſupra poſteriora,
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æquari facto ex G H in omnes magnitudines A, B, C. </
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<
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xml:space
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">Di-
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ctum vero exceſſum æquari manifeſtum eſt productis ex A D
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in A, B E in B, C F in C. </
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<
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xml:space
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">Ergo hæc ſimul etiam æqua-
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lia erunt producto ex G H in omnes A, B, C. </
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<
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xml:space
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demonſtrandum.</
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<
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">PROPOSITIO IV.</
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<
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">SI pendulum è pluribus ponderibus compoſitum,
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atque è quiete dimiſſum, partem quamcunque
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oſcillationis integræ confecerit, atque inde porro
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intelligantur pondera ejus ſingula, relicto communi
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vinculo, celeritates acquiſitas ſurſum convertere,
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ac quousque poſſunt aſcendere; </
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<
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">hoc facto, centrum
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gravitatis ex omnibus compoſitæ, ad eandem alti-
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tudinem reverſum erit, quam ante inceptam oſcil-
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lationem obtinebat.</
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<
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">Sit pendulum compoſitum ex ponderibus quotlibet
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">TAB. XVIII.
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Fig. 3. 4.</
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A, B, C, virgæ, vel ſuperficiei pondere carenti, inhæren-
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tibus. </
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<
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">Sitque ſuſpenſum ab axe per D punctum ducto, qui
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ad planum, quod hic conſpicitur, perpendicularis intelliga-
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tur. </
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<
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xml:space
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">In quo eodem plano etiam centrum gravitatis E, pon-
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derum A, B, C, poſitum ſit; </
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<
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netur ad lineam perpendiculi D F, angulo E D F: </
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<
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cto, nimirum, eo uſque pendulo. </
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<
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xml:space
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">Hinc vero dimitti jam
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ponatur, ac partem quamlibet oſcillationis conficere, ita ut
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pondera A, B, C, perveniant in G, H, K. </
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