Valerio, Luca, De centro gravitatis solidorvm libri tres
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              figurarum duobus prædictis figuris vnum quid
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              componentibus, & circa eundem axim, vel diame
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              trum exiſtentibus, qua ratione diximus, circum­
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              ſcriptarum, centra grauitatis ſint in diametro, vel
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              axe; etiam compoſiti ex ijs duobus reſiduis (vt in
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              priori libro generaliter demonſtrauimus, cen­
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              trum grauitatis erit in eadem diametro, vel axe:
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              vnde vim habent proximæ quatuor anteceden­
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              tes demonſtrationes, exemplum erit in demon­
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              ſtratione trigeſimæ quartæ huius. </s>
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              PROPOSITIO XXXIII.
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              <s>Hemiſphærij centrum grauitatis eſt punctum
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              illud in quo axis ſic diuiditur, vt pars, quæ ad ver­
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              ticem ſit ad reliquam vt quin que ad tria. </s>
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              <s>Eſto hemifphærium ABC cuius vertex B, axis BD:
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              ſit autem BD ſectus in G puncto, ita vt pars BG ad GD
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              ſit vt quinque ad tria. </s>
              <s>Dico G eſse centrum grauitatis
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              hemiſphærij ABC. </s>
              <s>Abſcindatur enim BK ipſius BD
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              pars quarta: & ſuper baſim eandem hemiſphærij eundem­
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              que axim BD cylindrus AF conſiſtat, & conus intelli­
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              gatur EDF, cuius vertex D, baſis autem circulus circu­
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              lo AC oppoſitus, cuius diameter EBF. </s>
              <s>Sectoque axe
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              BD bifariam in puncto H, & ſingulis eius partibus rur­
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              ſus bifariam, quoad BD ſecta ſit in partes æquales cu­
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              iuſcumque libuerit numeri paris, tranſeant per puncta ſe­
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              ctionum plana quædam baſi AC parallela, & ſecantia,
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              hemiſphærium, conum, & cylindrum, quorum omnes ſe­
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              ctiones erunt circuli, terni in codem plano ad aliam atque </s>
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