Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

Table of figures

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              bus feruntur. </s>
              <s>Ponatur enim CT ſemidia­
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              metri pars milleſima, hoc eſt mill. 4. & eo
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              amplius; ſegmentorum MON & MVN Ra­
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              tio inuenietur, ex ijs quæ Archimedes docet
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              l. 2. de ſph. </s>
              <s>& eyl. </s>
              <s>prop. 2. ſunt enim ſeg­
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              menta illa æqualia conis eandem baſim MN
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              habentibus, hi autem ex Eucl. l. 12. prop. </s>
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              14 inter ſe ſunt vt altitudines: Quapropter
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              inuentis conorum altitudinibus, quas Ar­
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              chimedes docet, innoteſcit Ratio ſegmen­
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              torum ſphæricorum conis illis æqualium̨. </s>
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              Cum itaque CT ſit Radij (1/1000), ſegmenti
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              MVN altitudo eſt 999, ſegmenti verò
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              MON altitudo eſt 1001. Fiat igitur vt alti­
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              tudo ſegmenti maioris 1001 ad ſummam
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              ex eadem altitudine & Radio 2001, ita al­
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              titudo ſegmenti ſphærici minoris 999, ad
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              coni æqualis altitudinem 1997. Similiter vt
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              altitudo minoris ſegmenti 999 ad ſummam
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              ex eadem & Radio 1999, ita altitudo ſeg­
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              menti ſphærici maioris 1001 ad coni æqua­
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              lis altitudinem 2003. Eſt igitur MON ad
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              MVN vt 2003 ad 1997: atque adeò ſeg­
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              mentum maius addit vltra hemiſphærium
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              ſolùm totius globi (6/4000). Quare vt tellus ve­
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              niret in T, ſolum ſegmentum ſphæricum̨
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              MSORN vt ſummum deorſum versùs C
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              vrgeret; cui tamen, ne poſtea deſcendet, </s>
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