Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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mam quadratorum à perpendicularibus, quæ ab univerſis
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iiſdem particulis cadunt in rectam datam per E punctum.</
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<
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<
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">Ponatur primò figuram planam dari O Q P, ad latus figu-
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ræ ſolidæ A B C D, ejuſdem cum ipſa altitudinis, quæque
<
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ſit ejuſmodi, ut ſecta lineis rectis Q Q, R R, quæ reſpon-
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deant planis figuram ſolidam A B C D ſecantibus M M,
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N N, & </
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<
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<
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">eadem ſit dictarum linearum inter
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ſe, quæ & </
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que quæ in ordine ſibi reſpondent. </
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Q Q quemadmodum planum N N ad M M. </
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">Quod ſi igitur
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figura plana O Q P, in totidem particulas minimas æquales
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diviſa intelligatur, quot intelliguntur in ſolido A B C D,
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erunt etiam in unoquoque ſegmento figuræ planæ, velut
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Q Q R R, tot numero particulæ, quot ſunt in figuræ ſoli-
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dæ ſegmento M M N N, iſti ſegmento reſpondente; </
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proinde & </
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">ſumma quadratorum, à perpendicularibus o-
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mnium particularum figuræ O Q P in planum E G, æqua-
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bitur ſummæ quadratorum, à perpendicularibus omnium par-
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ticularum figuræ ſolidæ, in idem planum E G productis. </
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la autem quadratorum ſumma data erit, ſi dentur in figura
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O Q P, cuneoque illius, quæ propoſ. </
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mus. </
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à perpendicularibus quæ, à particulis omnibus ſolidi A B C D,
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ducuntur in planum E G.</
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<
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">Ponatur nunc alia item figura plana S Y T Z, cjuſdem cum
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ſolido A B C D latitudinis, hoc eſt, quam includant plana B Y,
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D Z ſolidum contingentia, ac parallela plano E A C, quæque
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ſit ejuſmodi, ut, ſecta lineis rectis V V, X X &</
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<
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deant planis figuram A B C D ſecantibus, K K, L L, & </
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parallelis, faciat eandem inter ſe rationem linearum harum
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atque illorum planorum, ſi ſumantur quæ ſibi mutuo reſpon-
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dent. </
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à particulis figuræ S Y T Z in rectam S T cadentium,
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æqualia erunt quadratis omnibus perpendicularium quæ, à
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particulis ſolidi A B C D, ducuntur in planum A C. </
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