Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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tis figuræ A B C; </
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ſtantiis particularum, in quas figura diviſa intel-
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ligitur, ab recta E D, æqualis rectangulo ſoli
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A G H, multiplici ſecundum ipſarum particula-
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rum numerum.</
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<
s
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xml:space
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">Hoc enim manifeſtum eſt, quum nullum tunc ſit quadra-
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tum E G.</
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<
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Fig. 4.</
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tima; </
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<
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">ſi D E ſit axis figuræ planæ A B C, in
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duas æquales ſimilesque portiones eam dividens, ſit-
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que inſuper V G diſtantia centri gravitatis dimi-
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diæ figuræ D A D ab recta E D, cunei vero, ſu-
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per ipſam abſciſſi per ipſam E D, ſubcentrica G X;
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<
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">erit rectangulum X G V æquale rectangulo A G H.</
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<
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<
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">Eſt enim rectangulum X G V, multiplex ſecundum nu-
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merum particularum figuræ D A D, æquale quadratis omni-
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bus perpendicularium à particulis ejusdem figuræ dimidiæ in
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rectam E D cadentium . </
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<
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xml:space
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">Ac proinde idem
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huj.</
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X G V, multiplex ſecundum numerum particularum totius
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figuræ A B C, æquale erit quadratis perpendicularium, ab
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omnibus particulis figuræ hujus in rectam E D demiſſarum;
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</
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<
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">hoc eſt, rectangulo A G H multiplici ſecundum eundem
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particularum numerum, ut conſtat ex propoſ. </
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Unde ſequitur rectangula X G V, A G H inter ſe æqualia
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eſſe. </
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<
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gravitatis eorum circulus quilibet deſcribatur;</
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