Valerio, Luca, De centro gravitatis solidorvm libri tres
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                <pb xlink:href="043/01/264.jpg" pagenum="85"/>
              diametri TI, S
                <foreign lang="grc">β</foreign>
              , R
                <foreign lang="grc">α</foreign>
              , erunt in vna recta linea. </s>
              <s>Quoniam
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              igitur eſt vt EB ad BD, ita quadratum DG ad
                <expan abbr="reliquũ">reliquum</expan>
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              quadrati AD, ſecabit parabola GBH omnes in hyperbo­
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              le ABC ad diametrum ordinatim applicatas, quare conoi
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              des ABC comprehendet conoides GBH: atque ita para­
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              bola ſecabit, vt exceſſus quibus quadrata in hyperbole ap­
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              plicatarum ſuperant partes quadrata in parabola applicata
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              rum, inter ſe ſint vt quadrata partium diametri BD inter
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              applicatas & verticem interiectarum, prout vt inter ſe
                <expan abbr="reſpõ">reſpom</expan>
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              dent: vt igitur eſt quadratum BD ad quadratum BM, hoc
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              eſt vt quadratum DK ad quadratum RM, ita erit
                <expan abbr="reliquũ">reliquum</expan>
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              AD quadrati dempto quadrato DG ad reliquum quadrati
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              TM dempto quadrato SM, & permutando. </s>
              <s>Sed quia qua­
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              dratum DG ad reliquum quadrati AD, & ad quadratum
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              DK eandem habet proportionem ex vi conſtructionis, reli
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              quum quadrati AD, dempto quadrato DG æquale eſt
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              quadrato DK; reliquum igitur quadrati TM dempto qua
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              drato SM æquale erit quadrato RM: ſi igitur vtriſque ad­
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              dantur ſingula communia, vnis quadratum DG, alteris
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              quadratum SM, erit & quadratum AD æquale duobus
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              quadratis GD, DK, & quadratum TM duobus quadra
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              tis SM, MR æquale. </s>
              <s>ſed cum cylindri eiuidem altitudi­
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              nis inter ſe ſint vt baſes, ſunt vt quadrata, quæ ab eorundem
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              baſium ſemidiametris fiunt; cylindiusigitur AO æqualis
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              eſt duobus cylindris GP, KQ: & cylindrus TX duobus
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              cylindris S
                <foreign lang="grc">Υ</foreign>
              , RZ æqualis. </s>
              <s>Eadem ratio eſt de reliquis
                <lb/>
              deinceps. </s>
              <s>Tota igitur figura conoidi ABC circumſcripta,
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              vtrique ſimul, conoidi GBH, & cono KBL circumſcri­
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              ptæ æqualis erit. </s>
              <s>poſſunt autem eæ figuræ ita eſſe dictis ſoli­
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              dis circumſcriptæ per ea quæ alibi oſtendimus, vt ſuperent
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              inſcriptas minori ſpacio quantacumque magnitudine pro­
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              poſita; per tertiam igitur ſecundi, conoides ABC vtrique
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              ſimul, conoidi GBH, & cono KBL æquale erit. </s>
              <s>dempto
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              igitur
                <expan abbr="cõmuni">communi</expan>
              conoide GBH, reliquum
                <expan abbr="ſolidũ">ſolidum</expan>
              AGBHC </s>
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