Valerio, Luca, De centro gravitatis solidorvm libri tres
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              vt eſt TV ad VX: & vt ON ad NA, ita VX ad
                <expan abbr="Xq;">Xque</expan>
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              applicentur ad ſemidiametrum QT rectæ ZV, XY dia­
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              metro PR æquidiſtantes. </s>
              <s>Dico eſſe HK ad FG lon­
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              gitudine, vt FB ad BH potentia: & KO ad GN longi­
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              tudine, vt ZY ad YX potentia. </s>
              <s>Iungantur enim KL,
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              GM, baſi AC parallelæ. </s>
              <s>Quoniam igitur eſt vt MB
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              ad BI. longitudine, ita GM ad KL potentia: ſed MB
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              eſt æqualis ipſi FG, & BL ipſi KH, & BF ipſi GM, &
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              BH ipſi KL in parallelogrammis BG, BK; vt igitur
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              FG ad KH longitudine, ita erit BH ad BF potentia:
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              ſimiliter quotcumque plures eſſent applicatæ idem oſten­
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              deremus. </s>
              <s>Rurſus, quoniam eſt vt EA, hoc eſt FN ad FG,
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              ita quadratum EB ad BF quadratum, hoc eſt quadra­
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              tum AD ad quadratum DN, hoc eſt ita quadratum QT,
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              hoc eſt quadratum TY, hoc eſt duo quadrata TX, XY,
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              ad quadratum TX; erit per conuerſionem rationis, vt FN,
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              hoc eſt BD ad GN, ita duo quadrata TX, X
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              ſimul,
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              hoc eſt quadratum TY, hoc eſt quadratum TP, ad qua­
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              dratum XY. </s>
              <s>Similiter oſtenderemus eſſe vt BD ad
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              OK, ita quadratum PT ad quadratum VZ. </s>
              <s>Conuer­
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              tendo igitur erit vt OK ad BD, ita quadratum XY ad
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              PT quadratum: & ex æquali vt OK ad GN, ita qua­
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              dratum VZ ad quadratum XY. </s>
              <s>Suntigitur tres rectæ
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              lineæ BD, OK, GN, inter ſe longitudine, vt in circu­
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              lo PQSR totidem PT, ZV, XY inter ſe potentia,
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              prout inter ſe reſpondent. </s>
              <s>Idem autem ſimiliter oſten­
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              deremus de quotcumque aliis in circulo, & ſectione para­
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              bola vt prædictæ applicatis multitudine æqualibus. </s>
              <s>In
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              ellipſe autem, ductis diametris quibuſuis coniugatis, &
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              totidem quot in circulo ad vnam ſemidiametrum rectis li­
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              neis ordinatim applicatis ſecundum puncta ſectionum eiuſ­
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              dem diametri in eaſdem prædictas rationes, eodemque or­
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              dine; quoniam ex XXI primi conicorum ſtatim apparet re­
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              ctarum linearum ita vt diximus in circulo, & ellipſe appli-</s>
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