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

Table of figures

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              dio loco proportionalis inter diametri ſeg­
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              menta IC, CO; ac proinde quadratum me­
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              diæ CF æquale eſt rectangulo ſub extremis. </s>
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              Itaque quadrato ipſius CF diuiſo per IC ſeg­
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              mentum notum, Quotiens dabit CO, cui
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              addatur CI, & habetur tota diameter IO
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              quæſita. </s>
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              LIV. </s>
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              Decima me­
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              thodus, qua
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              terræ dia­
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              meter inue­
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              nitur.
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              LV. </s>
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              Idem aliter.
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              <s>Hæc mihi methodus magis arridet vtpo­
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              te breuior, qua quadratum CF diuido per
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              IC: cæterùm ſi rem merè Trigonome­
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              tricè perficere quis malit, inuentis CF
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              & IC, quærat angulum IFC; quem du­
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              plicet, & dupli ſinum ex Tabulis inue­
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              niat: tum fiat vt ſinus inuentus ad Ra­
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              dium ita inuenta CF ad quæſitam ſemidia­
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              metrum FT. </s>
              <s>Huius operationis ratio pa­
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              tet, quia cum angulus IFO in ſemicircu­
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              lo ſit rectus, triângulum ICF eſt ſimile trian­
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              gulo IFO, igitur angulus inuentus IFC æqua­
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              lis eſt angulo FOC; huius autem duplex eſt
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              angulus ITF ad centrum, qui proinde inno­
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              teſcit, vnâ cum ſinu FC in partibus Radii
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              hæc verò linea cum nota ſit etiam in men­
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              ſurâ homogeneâ altitudini datæ IG, manife­
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              ſtabit pariter in eâdem menſurâ Radium TF. </s>
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              <s>Placetne aliam adhuc inire viam? </s>
              <s>nec
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              Dionyſiodori Geometræ protritam veſtigiis;
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              cuius in ſepulchro inuenta eſt epiſtola ad </s>
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