Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
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DE SPECULIS VITREIS.
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Diſtantia \\ pollicum \\ a contactu # Numerus \\ linearum \\ Aquæ elevatæ
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9 # 1
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6 # 2
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4 {3/4} # 3
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3 # 4 {3/4}
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2 {1/2} # 6
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2 # 7 {1/2}
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1 {1/2} # 10
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1 {1/4} # 12
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1 # 15
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{3/4} # 19
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{1/2} # 28
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{1/4} # 50
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comprehenſus eſt exiguus & </
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">linea juncturæ perpendicularisin Aquam
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curva ab Aquâ deſcripta eſt Hyperbola inter aſymptotas ſuas con-
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tenta, quarum una eſt ſuperficies Aquæ, altera, junctura ſpeculo-
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rum. </
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">Ducantur enim duæ rectæ A C, B C quæ repræſentent ſe-
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ctionem ſpeculorum junctorum in C. </
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<
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quot partes æquales & </
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<
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A C B eſt parvus, poſſunt concipi d f e g, h lim, ut parallelogram-
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ma: </
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<
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aquæ adſcendentis eſtæqualis per Corol. </
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<
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">3, erit inter d f e g,
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æqualis Aquæ copia ac inter h i l m, adeoque erunt ea paralle-
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lopipeda Aquæ æqualia, quorum altitudines ſunt reciproce ut ba-
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ſes d e f g, h i l m. </
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xml:space
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">quia hæ habent latus e g = i m, erunt
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baſes uti de, ad hi, ſed ob triangula ſimilia d C e, h C i, eſt de,
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h i:</
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in ſuam altitudinem, dabit productum æquale illi ex e C in ſuam; </
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rum nota hæc eſt natura Hyperbolæ, ut parallelogramma vid.</
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