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

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              hìc vſurpantur) 388800. Quare diameter
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              AE, demptis pedibus 50, erit ſtad. </s>
              <s>388799
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              ped. 550. Ex qua diametro colligitur am­
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              bitus longè maior eo, quem Macrobius cum
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              Eratoſthene conſtituit. </s>
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              <s>
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              Guld.
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              <s> Sed lapſis in ageometriam Erato­
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              ſthene ac Macrobio, quod ſtadia 180 tribue­
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              rint horizontis phyſici ſemidiametro, cum
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              totum telluris ambitum ſtadijs 252000 de­
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              ſinierint; quid de ijs dicendum, qui terram
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              paucioribus ſtadijs circumſcribentes (mil­
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              liarijs nimirum 21600, quæ ad ſtadia Græca
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              180000 reuocantur, quot Ptolemæus toti
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              terrenæ peripheriæ conceſsit) oculum tamen
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              ad maiora ſpatia longo limite ducunt? </s>
              <s>Hi
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              ſanè longiſsimè abſunt à veritate, cum lineæ
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              opticæ tribuunt longitudinem ſtadiorum
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              vt minimum 500. Nam quadratum lineæ
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              opticæ eſt æquale rectangulo ſub altitudinę
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              oculi, & terræ diametro auctâ eâdem altitu­
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              dine. </s>
              <s>Sit ergo D linea optica, & B ſit terræ
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              diameter, & A ſit altitudo: igitur DQ æqua­
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              tur AQ+A in B. </s>
              <s>Quare ad inueniendam A
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              fiat expurgatio per vncias conditionarias qua­
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              drati, ſc. </s>
              <s>per ſemiſſem coëfficientis B. </s>
              <s>Sit er­
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              go E æqualis A+B 1/2: igitur E——B 1/2 eſt æqua­
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              lis ipſi A. </s>
              <s>Factâ itaque prioris æquationis in­
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              terpretatione erit æquatio inter EQ——BQ 1/4 </s>
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