Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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dulo longitudinis ſubſesquialteræ. </
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<
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xml:space
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neam ejusmodi, ac ſi eſſet rectangulum minimæ latitudinis.</
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<
s
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echoid-s3521
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xml:space
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">Quod ſi figura triangulum fuerit, vertice ſurſum conver-
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ſo, fit D H {3/4} diametri. </
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<
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echoid-s3522
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xml:space
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">Si deorſum, {1/2} diametri.</
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<
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</
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<
s
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xml:space
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">Quod autem propoſitione 16 demonſtratum fuit, id ad hu-
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jusmodi figuræ planæ motum ita pertinere ſciendum. </
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<
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xml:space
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pe, ſi aliam atque aliam poſitionem demus figuræ B C D,
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invertendo eam circa axem B A C, ut vel horizonti paral-
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lela jaceat, vel oblique inclinetur, manente eodem agitatio-
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nis axe F E, etiam longitudo penduli iſochroni F K eadem
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manebit. </
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<
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xml:space
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">Hoc enim ex propoſitione illa manifeſtum eſt.</
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<
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</
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<
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xml:space
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">Porro quando figura plana, circa axem ad planum figu-
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Fig. 1. & 2.</
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ræ erectum, agitatur; </
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xml:space
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">quam vocavimus agitationem in latus;
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</
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<
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xml:space
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">velut ſi figura B C D moveatur circa axem, qui per pun-
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ctum F intelligitur ad planum D B C erectus; </
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<
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xml:space
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">hic jam ha-
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benda eſt ſumma quadratorum a diſtantiis particularum
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omnium ab recta quæ per centrum gravitatis A intelligitur
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axi oſcillationis parallela; </
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<
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poſita fuere. </
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<
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xml:space
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">Hoc eſt ſumma quadratorum a diſtantiis ab ipſo
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A centro gravitatis, quoniam figura plana eſt. </
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<
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xml:space
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ſummæ quadratorum a diſtantiis tam ab recta B A C quam
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ab recta D A. </
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<
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xml:space
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">Conſtat enim quadratum rectæ O A, quam
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pono eſſe diſtantiam unius cujusdam particulæ a centro A,
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æquari quadratis diſtantiarum O N, O V, quibus eadem
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particula abeſt a rectis B A C, D A . </
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<
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lib. 1.
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Elem.</
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dratorum a diſtantiis ab recta B A C æquatur rectangulo
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D A H, ſi D H ſit ſubcentrica cunei ſuper figura abſciſſi
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per tangentem D D, parallelam B A . </
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<
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xml:space
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xml:space
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">Prop. 10.
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huj.</
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dratorum a diſtantiis ab recta D A æquatur rectangulo B A L,
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ſi B L ſit ſubcentrica cunei abſciſſi per tangentem B D pa-
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rallelam A D. </
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<
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xml:space
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">Oportetque dari, præter figuræ centrum gra-
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vitatis A, ſubcentricamque H D cunei prioris, etiam ſub-
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centricam L B cunei poſterioris. </
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<
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xml:space
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gula D A H, B A L, quæ ſimul ſumpta faciunt hic ſpa-
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tium applicandum, quod deinceps etiam rectangulum oſcil-
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lationis vocabitur. </
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