Valerio, Luca, De centro gravitatis solidorvm libri tres

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              <s>
                <pb xlink:href="043/01/154.jpg" pagenum="67"/>
              BE bifariam in puncto R, ſecentur BD, in puncto T, &
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              DE, in puncto V, bifariam & ſumatur BO, ipſius BD,
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              pars quarta, necnon EP pars quarta ipſius DE, primum
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              itaque quoniam ER eſt maior, quàm ED, erit punctum
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              R, in ſegmento BD. </s>
              <s>Quoniam igitur ex ſupra oſtenſis O
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              eſt centrum grauitatis commune cono DGH, & reliquo
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              cylindri KH dempto ABC hemiſphærio: & eadem ra­
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              tione punctum P, cum ſit centrum grauitatis coni MDN,
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              erit idem centrum grauitatis reliqui ex cylindro XL dem­
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              pta AKLC portione: eſt autem reliquum cylindri KH
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              dempto KBL hemiſphærio, æquale cono DGH, qua
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              ratione & reliquum cylindri XL, dempta AKLC por­
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              tione æquale eſt cono MDN; cum igitur S ſit centrum
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              grauitatis totius reliqui ex toto cylindro XH, dempta
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              ABC portione, erit idem S, centrum grauitatis compo­
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              ſiti ex conis GDH, MDL: ſunt autem horum conorum
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              centra grauitatis O, P; vt igitur conus GDH, ad co­
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              num MDN, ita erit PS, ad SO: ſed coni GDH ad
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              ſimilem ipſi conum MDN triplicata eſt proportio axis
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              BD, ad axim BE, hoc eſt cylindri KH ad cylindrum
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              XL; maior igitur proportio erit PS ad SO, quàm cy­
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              lindri KH ad cylindrum XL, ſed vt cylindrus KH, ad
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              cylindrum XL, ita eſt VR ad RT, ob centra grauiratis
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              V, R, T, maior igitur proportio erit PS ad SO, quàm
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              VR ad RT: ſed eiuſdem PO eſt vt PD ad DO, ita
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              VD ad DT, ob ſectiones axium proportionales; pun­
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              ctum igitur S propinquius eſt puncto O, quàm punctum
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              R, per Lemma. </s>
              <s>Quare & Stermino B propinquius quàm
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              punctum R: ſed R eſt centrum grauitatis totius cylindri
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              XH: & S reliqui ex cylindro XH dempta ABC por­
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              tione; igitur Q reliquæ portionis ABC, centrum graui­
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              tatis erit in linea ER, atque ideo à puncto B remotius
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              quàm punctnm S. </s>
              <s>Quod eſt propoſitum. </s>
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