Valerio, Luca, De centro gravitatis solidorvm libri tres
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              ita N ad O potentia, & Q ad P longitudine: ſit au­
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              tem N media proportionalis inter EB, BD, at P ipſius
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              O potentia ſeſquialtera: quo autem Q plus poteſt quàm
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              P ſit quadratum ex R: & vt cubus ex FD vna cum ſoli­
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              do rectangulo ex BF, FD, & tripla ipſius BD, ad ſoli­
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              dum rectangulum ex BF, & quadrato R, ita ſit HK ad
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              KG. </s>
              <s>Dico fruſti ALMC centrum grauitatis eſſe K.
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              <s>Producta enim quà opus eſt diametro AC ipſi BD æqua­
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              les abſcindantur DS, DV: necnon ipſi N æquales
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              DT, DX, vt ſit TD ad DS potentia, vt EB, ad
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              BD longitudine, & deſcribantur conoides paraboli­
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              cum TBX, & conus SBV, quorum vertex commu­
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              nis B, axis BD: ſectis autem his tribus ſolidis plano
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              per axim, ſint ſectiones hyperbole ABC, & parabo­
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              la TBX, & triangulum SBV, quæ figuras deſcribunt;
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              quas planum baſis fruſti propoſiti circa LM ſecans vnà
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              cum tribus ſolidis faciat cum parabola TBX rectam I
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              ,
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              & cum triangulo SBV rectam
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              Z: conoidis autem TBX,
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              & coni SBV ſectiones circulos circa I
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              , YZ baſibus,
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              circa SV, TX parallelos; vt ſint conoidis TBX fru­
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              ſtum TI
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              X, & coni SBV fruſtum SYZV. </s>
              <s>Rur­
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              ſus producta I. M, ponatur <37>F, æqualis Q, & ab­
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              ſcindatur F
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              , potentia ſeſquialtera ipſius IF, iunctis­
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              que IB, B
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              , B<37>, deſcribantur tres coni <37>B
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              ,
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                <foreign lang="grc">δ</foreign>
              B
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              , IB
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              , quorum omnium baſes nempe circuli
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              erunt in dicto plano ſecante tria ſolida per punctum F.
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              <s>Quoniam igitur circuli inter ſe ſunt vt quæ fiunt à diame­
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              tris, vel à ſemidiametris quadrata, coni autem eiuſdem al­
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              titudinis inter ſe vt baſes; erit vt
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              F ad FI potentia, ita
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              conus
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              B
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              ad conum IB
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              ; ſeſquialter igitur conus
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                <foreign lang="grc">δ</foreign>
              B
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              coni IB
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              : ſed & conoides parabolicum IB
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              ſeſqui­
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              alterum eſt coni IB
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              ; æqualis igitur eſt conus
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              B
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              co­
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              noidi IB
                <foreign lang="grc">γ. </foreign>
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              <s>Et quoniam in parabola TBX ordinatim
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              ad diametrum applicatarum DT eſt ad FI hoc eſt N </s>
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