Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638
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              <s id="s.000106">PROPOSITIO VI. </s>
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                <s id="s.000107">Gravia naturali motu descendunt semper velocius ea
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                ratione, ut temporibus aequalibus descendant per spa-
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                tia semper maiora, iuxta proportionem quam ha-
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                bent impares numeri ab unitate inter se.
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              <s id="s.000108">Sit grave A quod descendat per lineam ABC, & tempus
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              quo descendit ab A in B sit aequale tempori, quo de-
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              scendit a B in C, & a C in D.
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              <s id="s.000109">Dico quod lineae AB, BC, CD sunt inter se ut 1. 3. 5. &
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              sic deinceps.
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              <s id="s.000110">Sit G numerus mensurans tempus, quo A descendit in B, &
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              H, quo descendit a B in C, & I, quo descendit a C in D,
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              quae tempora sunt ex suppositione aequalia, & sit K qua-
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              dratum ipsius G, & L quadratum GH, & M quadratum
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              totius GHI. </s>
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              <s id="s.000111">Quoniam quadrata K, L, N sunt ut AB, AC, AD
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              , quae
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              quadrata sunt ut 1, 4, 9, sunt itidem AB, AC, AD, ut
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              1. 4. 9. & dividendo AB, BC, CD, ut 1. 3. 5. & sic dein-
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              ceps. </s>
              <s id="s.000112">Quod probandum fuit.
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              Per 3.
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              hujus.
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Impressum