Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CONTROVERSIA.
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mandata fuit, nemo quid protulit; </
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<
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xml:space
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">ſed conſiderata refutatione,
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qua Abbas Catelanus 4
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. </
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<
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xml:space
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non vidi, quod ullatenus me feriat. </
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<
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xml:space
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cam, in quo fallitur; </
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<
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xml:space
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<
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has, duabus aliis, quæ diverſam quam primæ inter ſe ratio-
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nem habent, ſummam duarum ultimarum æqualem unquam
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fore ſummæ duarum priorum.</
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<
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">Concipe priores 5 & </
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de num harum ſumma æque ac illarum non ſit 15: </
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xml:space
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pateat errorem ejus inde oriri, utar eodem, quod ille propo-
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ſuit, exemplo.</
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<
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xml:space
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Fig. 2.</
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quæ conſiderari debet ut inflexibilis & </
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libere notetur circa punctum D: </
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voco e ponderibus A & </
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<
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Ex. </
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frangatur, ut pondera a lineâ inflexili ſeparentur, & </
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ſurſum eorum unumquodque cum velocitate acquiſita, ad
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maximam quam poteſt altitudinem, velut ad L & </
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planis inclinatis ſi velimus, quæ tangant arcus A F, B G;
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</
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dunt in L & </
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in E, ante vibrationem inchoatam.</
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</
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<
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xml:space
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">Abbas Catelanus ut falſam hanc probet propoſitionem,
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demonſtrat, altitudines, ad quas duo pondera ſoluta aſcen-
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dunt, ut hic N L, O M, diverſas eſſe ab iis unde de-
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ſcenderunt, ſcilicet A H, B I. </
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tione ab ipſo datâ, quod alteræ ſint inter ſe ut lineæ D F,
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D G, alteræ vero ut quadrata harum linearum; </
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<
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xml:space
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damus, inquit diverſas illas ſummas per numerum illorum
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ponderum, id eſt, ſi ſumamus dimidium linearum L N, M O,
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& </
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titudinem ad quam centrum commune gravitatis aſcendit, & </
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ab altera altitudinem unde deſcendit: </
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ſionem has duas altitudines detegi. </
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ſummas diviſas differre inter ſe; </
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