Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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cius ea ratione, ut temporibus aequalibus de
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scendant per spatia semper maiora, iuxta
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proportionem quam habent impares nu
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meri ab unitate inter se.
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">Sit grave A quod descendat per lineam ABC,
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& tempus quo descendit ab A in B sit aequale
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tempori, quo descendit a B in C, & a C in D.</
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3.5.& sic deinceps.</
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">Sit G linea mensurans tempus, quo A descendit
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in B, & H, quo de
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scendit a B in C, & I, quo descendit a C in D, quae tempora sunt ex suppositione
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aequalia, & sit K latus quadrati ipsius G, & L
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quadrati GH, & N quadrati totius GHI.</
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">Quoniam quadrata K, L, N sunt ut AB, AC, A
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D
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, quae quadrata sunt ut 1, 4, 9, sunt itidem
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AB, AC, AD, ut 1. 4. 9. & dividendo AB,
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BC, CD, ut 1. 3. 5. & sic deinceps. </
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probandum fuit.</
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Per 3. huius.</
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