Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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ex B intelligatur educta perpendiculatis BE,
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& in triangulo rectangulo ABE, datis angu
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lo A & latere AB, inueniatur latus BE. </
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mum quia triangula ABE, ADC rectangula
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habentia communem angulum ad A ſunt ſi
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milia, fiat vt AB data ad BE inuentam, ita
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AD lineæ opticæ longitudo inuenta ad DC
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quæſitam terræ ſemidiametrum. </
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XLVIII
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Inuenirę
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viſus: & ex
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ea Quintą
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methodus
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vestigandi
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terræ ſemi
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diametrum,
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Merſ.
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> In ijs, quæ hactenus attuliſti ad
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terræ ſemidiametrum inueniendam, illud
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accidit incommodum, quod totam altitu
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dinem ſupra maris ſuperficiem innoteſcere
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oportet: id quod haberi non poteſt, niſi aut
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prærupta rupes mari immineat, aut turris in
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litore ſit conſtituta. </
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<
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quam excogitas, qua etiam ex turri procul ab
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æquore in colle poſitâ explorare poſſimus,
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quanta ſit terræ magnitudo? </
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Guld.
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<
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> Tentemus pariter, quid poſſimus:
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tertius adeſt Galilæus; niſi aliquid inueneri
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mus, dicam nos iratis Muſis conueniſſe. </
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<
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igitur in perpendiculari AC, nota inſignis
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aliqua altitudo BA, at non talis, vt eius hu
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millimum punctum B ſphæricæ ſuperficiei
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adhæreat, cum potiùs ex illâ emineat iņ
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colle DB, cuius altitudo ignota eſt: fieri au
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tem poſſit, vt liber proſpectus in Horizon
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tem pateat, ſiue in ſummo A, ſiue in imo B </
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