Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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<
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>Sit ſphæræ cuius centrum D maior portio ABC, cu
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ius axis BE, baſis circulus cuius diameter AC, & por
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tioni ABC, cylindro XH circa axim BE circumſcripto
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vt ſupra fecimus: quoniam tam portionis ABC, quàm
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cylindri XH, centrum grauitatis eſt in axe BE; erit reli
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qui ex cylindro XH, in axe BE centrum grauitatis, ſint
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in axe BE centra grauitatis Q portionis ABC & S præ
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dicti reſidui. </
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<
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>Dico eſſe punctum S vertici B propinquius
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quàm punctum
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Per centrum enim D tranſiens planum
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ad axim BE erectum ſecet cylindrum XH, & portionem
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ABC in duos cylindros
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K
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H, XL, & hemiſphærium
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KBL, & portionem AKLC, ſectio autem circulus ma
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ximus eſto ille cuius diameter KL: & duo coni rectan
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guli circa axes BD, DE, vertice D communi deſcri
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bantur GDH, MDN, quorum alterius baſis GH com
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munis erit cylindro XH: alterius autem MDN, minor
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quàm eiuſdem cylindri XH, baſis GH. </
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<
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>Denique ſecta </
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