Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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li igitur minor erit proportio QR, ES ſimul ad EF,
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quàm TV, GX ſimul ad GH. & permutando, minor
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proportio QR, ES ſimul ad TV, GX ſimul quàm EF
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ad GH. & conuertendo, maior proportio GX, TV ſi
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mul ad ES, QR ſimul, quàm GH ad EF. </
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<
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>Similiter
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oſtenderemus duo ZI, AY, ſimul ad TV, GX, ſimul,
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maiorem habere proportionem, quàm AK ad rectarum
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GH. </
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>Rurſus quoniam puncta N, O, in medio BL, LM,
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ſunt, ipſorum EF, GH, centra grauitatis: duorum autem
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QR, ES ſimul centrum grauitatis eſt in linea NL, pro
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pterea quòd ES maius eſt quàm QR, & æquales BN,
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NL, quas centra grauitatis ipſorum QR, ES bifariam
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diuidunt, cadet ipſorum QR, ES, ſimul centrum grauita
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tis propius termino D, quàm ipſius EF centrum grauitatis,
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& duobus centris N, O, interijcietur. </
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>Eademque ratio
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ne duorum TV, GX, ſimul centrum grauitatis termino
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D erit propinquius quàm ipſius GH centrum grauitatis,
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& duobus centris O, P, duorum GH, AK interijcietur.
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<
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>Et duorum ZI, AY ſimul centrum grauitatis propin
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quius erit D termino, quàm P ipſius AK. </
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>Quoniam
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igitur omnia primarum magnitudinum, ex quibus conſtat
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figura ſecundo circumſcripta centra grauitatis in eadem re
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cta linea BD, diſpoſita ſunt alternatim ad centra grauita
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tis ſecundarum primis multitudine æqualium, ex quibus
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data figura conſtat ipſi ABC figuræ circumſcripta, ſunt
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termino D propinquiora, quàm centra grauitatis ſecunda
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rum, ſi bina, prout inter ſe reſpondent comparentur: maior
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autem proportio oſtenſa eſt primæ ad ſecundam in primis,
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quàm primæ ad ſecundam in ſecundis: & ſecundæ ad ter
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tiam in primis, quàm ſecundæ ad tertiam in ſecundis,
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ſumpto ordine à termino D, erit centrum grauitatis om
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nium primarum ſimul, ideſt figuræ ipſi ABC figuræ
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ſecundo circumſcriptæ termino D propinquius, quàm
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datæ figuræ eidem ABC figuræ primo circumſcriptæ cen</
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