Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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Eodem modo, ſi ex C, vel alio quovis puncto circumfe-
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rentiæ E C F, figura ſuſpendatur, eidem pendulo K L iſo-
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chrona eſſe probabitur. </
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quæ vel extra figuram cadat, vel per eam
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transeat; </
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<
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xml:space
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">divisâque figurâ cogitatu in particulas
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minimas æquales, à quibus omnibus ad datam re-
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ctam perpendiculares ductæ intelligantur; </
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<
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ſummam omnium quæ ab ipſis fiunt quadratorum,
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ſive planum, cujus multiplex ſecundum particula-
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rum numerum, dictæ quadratorum ſummæ æ-
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quale ſit.</
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">linea recta quæ, per
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Fig. 1.</
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punctum E tranſiens, ad planum hujus paginæ erecta intel-
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ligatur: </
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">quæque vel ſecet figuram, vel tota extra cadat. </
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tellectoque, à ſingulis particulis minimis æqualibus, ſolidum
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A B C D conſtituentibus, velut F, rectas duci perpendi-
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culares in datam rectam per E, quemadmodum hic F E,
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oporteat omnium quadratorum F E ſummam invenire.</
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<
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<
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xml:space
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per centrum gravitatis figuræ ducto. </
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telligatur per eandem lineam datam, perque E G, quæ ipſi
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eſt ad angulos rectos.</
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<
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">Conſtat jam, quadratum rectæ cujuſque, quæ à particula
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dictarum aliqua, ad lineam datam per E perpendicularis du-
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citur, ſicut F E, æquari quadratis duarum F G, F H,
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quæ, ab eadem particula, in plana per E G & </
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<
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cta, perpendiculares aguntur . </
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<
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">Quare, ſi cognoſcere
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Eucl.</
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mus ſummam quadratorum, quæ fiunt ab omnibus perpen-
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dicularibus, quæ à particulis univerſis cadunt in plana dicta
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per E G & </
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