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. </s>
                <s id="s.001130">Quoniam ratio diu­
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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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                .
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                </s>
                <s id="s.001131">Quod etc. </s>
                <s id="s.001132">Unde si ex Mersenno, grave ab A in
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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. </s>
                <s id="s.001133">Ex his
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                etiam constat esse aequales diuturnitates per
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                BG, & BD, etiamsi per BD fiat ascensus, &</s>
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