Valerio, Luca, De centro gravitatis solidorum, 1604

Table of figures

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                <pb xlink:href="043/01/227.jpg" pagenum="48"/>
              baſes ſunt circuli, vel ellipſes, reliqua autem ſu­
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              perficies tota interius concaua, centrum grauitatis
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              eſt in dimidio axis ſegmento, quod baſim, vel ma­
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              iorem baſim attingit. </s>
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              <s>Sit figura circa axim in alteram partem deficiens ABC,
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              cuius axis BD, baſis, vel maior baſis circulus, vel ellipſis
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              circa diametrum AC, reliqua autem ſuperficies tota inte­
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              rius concaua: ſecto autem axe BD bifariam in puncto G,
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              ſit ſolidi ABC centrum grauitatis F nempe in axe BD.
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              <s>Dico punctum F eſſe in ſegmento ED. </s>
              <s>Secto enim ſoli­
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              do ABC, & figu
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              ra per axem pla
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              no per
                <expan abbr="punctũ">punctum</expan>
              E
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              baſi, vel baſibus
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              parallelo, fiat ſe­
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              ctio circulus, vel
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              ellipſis ſimilis
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              baſi, per diffini­
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              tionem, & ſectio­
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              nis diameter K
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              N: deinde figu­
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              ra quædam ex
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                <figure id="id.043.01.227.1.jpg" xlink:href="043/01/227/1.jpg" number="167"/>
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              duobus cylindris, vel cylindri portionibus KL, AM cir­
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              ca axes BE, ED, eiuſdem altitudinis circumſcribatur
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              ſolido ABC: ſecanturque bifariam BE in puncto G, &
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              ED in puncto H. totius autem figuræ circumſcriptæ ſit
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              centrum grauitatis O, nempe in axe BD. </s>
              <s>Quoniam igi­
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              tur propter bipartitorum axium ſectiones G, H, eſt ſolidi
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              KL centrum grauitatis G: ſolidi autem AM centrum
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              grauitatis H, erit in linea GH totius ſolidi AL centrum
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              grauitatis O, & vt ſolidum AM ad ſolidum KL, ita GO
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              ad OH: ſed maior eſt proportio ſolidi AM ad ſolidum KL </s>
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