Valerio, Luca, De centro gravitatis solidorvm libri tres

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              rallela NO, abſcindantur EL, FM, ipſi GK æquales, &
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              iungantur ANE, EOD. </s>
              <s>Quoniam igitur NO ipſi AD,
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              parallela ſecat omnes ipſis AD, EC, interceptas in eaſ­
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              dem rationes, & eſt EH, pars tertia ipſius EF, erit & EN
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              ipſius EA, & EO, ipſius ED, pars tertia. </s>
              <s>Eſt autem NO,
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              parallela baſibus BE, EC, duorum triangulorum ABE,
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              ECD; in ipſa igitur NO, erunt centra grauitatis duo­
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              rum triangulorum ABE, ECD: ergo & compoſiti ex
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              vtroque in linea NO, erit centrum grauitatis. </s>
              <s>Quoniam
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              igitur K, centrum grauitatis trianguli AED, eſt in EF, &
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              totius trapezij ABCD, centrum grauitatis in eadem linea
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              EF; erit & reliquæ partis, duorum ſcilicet triangulorum
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              ABE, ECD, ſimul in linea EF, centrum grauitatis: ſed &
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              in linea NO; in puncto igitur H. </s>
              <s>Rurſus quoniam triangula
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              AED, ABE, ECD, ſunt inter eaſdem parallelas, erit
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              vt AD, ad BC, ita triangulum AED, ad duo triangu­
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              la ABE, ECD, ſimul: ſed vt AD, ad BC, ita eſt HG,
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              ad GK; vt igitur triangulum AED, ad duo triangula
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              ABE, ECD, ſimul, ita erit HG, ad GK. ſed K, eſt
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              centrum grauitatis trianguli AED: & H, duorum trian
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              gulorum ABE, ECD, ſimul; totius igitur trapezij AB
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              CD, centrum grauitatis erit G. </s>
              <s>Rurius quoniam EL,
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              eſt æqualis GK, æqualium EH, HK; erit reliqua LH,
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              æqualis reliquæ GH; tota igitur EG; erit bis GH, vna
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              cum GK: eadem ratione quoniam FM, eſt æqualis GK,
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              & MK, æqualis GH, erit FG, bis GK, vna cum GH:
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              vt igitur HG, bis vna cum GK, ad GK, bis vna cum
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              GH, ita erit EG, ad GF. </s>
              <s>Sed vt HG, bis vna cum
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              GK, ad GK bis vna cum GH, ita eſt AD, bis vna cum
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              BC, ad BC, bis vna cum AB, propterea quod eſt vt
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              AD, ad BC, ita HG, ad GK; vt igitur eſt AD, bis vna
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              cum BC, ad BC, bis vna cum AD, ita erit EG, ad GF.
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              </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
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        </body>
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