Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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A D, erunt anguli ad circumferentiam ipſis inſiſtentes,
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E D A, A B D æquales. </
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A D F, æquales anguli A B D, A D F. </
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tem utrique eſt angulus ad A. </
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<
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xml:space
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">Ergo dicti trianguli ſimiles
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erunt, ideoque B A ad A D ut A D ad A F.</
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">Sit jam punctum interſectionis f extra circulum, & </
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catur b H parallela D E, quæ occurrat rectæ A D in H.
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">Itaque ſecundum jam demonſtrata erit ut D A ad A b, ita
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A b ad A H, hoc eſt, ita A f ad A D: </
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">Ideoque rurſus
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proportionales erunt A f, A D, A b. </
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ſitum.</
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">SIt Cyclois A B C, cujus vertex A deorſum con-
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Fig. 5.</
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verſus ſit, axe A D ad perpendiculum erecto;
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">ſumptoque in ea quolibet puncto B, ducatur inde
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deorſum recta B I quæ Cycloidem tangat, terminetur-
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que recta horizontali A I. </
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">recta vero B F ad axem
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perpendicularis agatur, & </
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X, ſuper ea deſcribatur ſemicirculus F H A. </
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ctâ deinde per punctum quodlibet G in curva B A
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ſumptum, rectâ Σ G parallelâ B F, quæ circum-
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ferentiæ F H A occurrat in H, axi A D in Σ, in-
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telligantur per puncta G & </
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">H rectæ tangentes u-
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triusque curvæ, earumque tangentium partes iis-
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dem duabus horizontalibus M S, N T interceptæ
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ſint M N, S T. </
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">Iisdemque rectis M S, N T in-
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cludantur tangentis B I pars O P, & </
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pars Q R.</
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ve percurret rectam M N, celeritate </
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