Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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portione sibi respondeant diuturnitates pen
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duli moti in descensu a C in B, & in ascensu
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a B in D, secta CD in E tali ratione, ut E tan
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tundem destet a C, quantum B; existimans diu
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turnitates motuum per CB, & BD quadrantes,
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esse inter se ut CE ad ED. </
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turnitatum per FB, & FG est eadem ac per
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AB, & FB, cum utrobique sit subdupla pro
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portio, quae ratio est pariter inter CB, &
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FB
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, cum CB sit media inter AB, FB,
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erit
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ratio diuturnitatum per FB, & FG, & itidem
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per quadrantem CB, & per semic. CBD eis
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aequalium
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ut CB ad FB, seu ut CE ad CD eis
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aequales: & dividendo, ratio diuturnitatum
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per CB, & BD quadrantes erit ut CE ad ED
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B pedum 3 regiorum, qui quatuor palmis nostra
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tibus proxime respondent, descendit in 30 ter
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tijs, a C in B fertur non in 30 sed in 42, unde
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a B in D ascendit in 17 sibi respondentes ut
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99 ad 41. Caeterum ex dictis facile demonstrabi
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tur quod si vibrationes sint minores, v.g. ab
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H in I, pariter diuturnitates per HB, & per
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BI erunt ut CE ad ED, cum iam probatum
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fuerit, & experientia constet vibrationes CB, HB
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nec non CD, HI esse aequediuturnas. </
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etiam constat esse aequales diuturnitates per
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BG, & BD, etiamsi per BD fiat ascensus, &</
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