Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of Notes

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            dum B K, ut quadratum B G ad quadratum B K, & </s>
            <s xml:id="echoid-s6625" xml:space="preserve">non
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            quemadmodum ſuſtinet Hugenius, ut B G ad B K.</s>
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            <s xml:id="echoid-s6627" xml:space="preserve">Quod ut pateat, concipiamus ventum in velum impin-
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            gere cum velocitate B G; </s>
            <s xml:id="echoid-s6628" xml:space="preserve">quoniam in illud impingit ſolum-
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            modo per motum, qui dirigitur ſecundum B G ſpectan-
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            dus eſt ventus, tanquam latus ex B in G velocitate B G.
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            </s>
            <s xml:id="echoid-s6629" xml:space="preserve">ſed quando illa velocitate fertur ex B in G, fertur veloci-
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            tate B K ſecundum determinationem B K, & </s>
            <s xml:id="echoid-s6630" xml:space="preserve">velocitate
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            K G ſecundum determinationem K G; </s>
            <s xml:id="echoid-s6631" xml:space="preserve">quare ex iis quæ ſu-
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            perius a me dicta ſunt, vis qua navis pellitur ſecundum B G
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            eſt ad vim qua pellitur ſecundum B K, ut quadratum B G
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            ad quadratum B K; </s>
            <s xml:id="echoid-s6632" xml:space="preserve">& </s>
            <s xml:id="echoid-s6633" xml:space="preserve">ad vim, qua pellitur ſecundum K G,
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            ut quadratum B G ad quadratum K G. </s>
            <s xml:id="echoid-s6634" xml:space="preserve">Obſervandum au-
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            tem eſt, eandem vim venti in velum, id eſt, vim totalem ſe-
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            cundum B G, quam vim exprimit quadratum B G, divi-
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            viſam eſſe ſecundum B K, & </s>
            <s xml:id="echoid-s6635" xml:space="preserve">K G, in duas partes, quarum
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            ſumma vim totalem adæquat; </s>
            <s xml:id="echoid-s6636" xml:space="preserve">& </s>
            <s xml:id="echoid-s6637" xml:space="preserve">illa vis, potentia, ſeu
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            motus, quibus tribus una eademque res ſignificatur nomi-
              <lb/>
            nibus, nullum vel augmentum vel imminutionem accipit,
              <lb/>
            ex noſtris motum conſiderandi modis, qui motus non in ſola
              <lb/>
            corporum velocitate conſiſtit, ſed ex eorundem maſſis quo-
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            que conſtituitur. </s>
            <s xml:id="echoid-s6638" xml:space="preserve">Ergo potentia, vis, ſeu motus, eſt pro-
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            ductum quadrati celeritatis per maſſam. </s>
            <s xml:id="echoid-s6639" xml:space="preserve">Quare potentia ex
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            duabus aliis potentiis conflata, iis æqualis eſt, dummodo unius
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            determinatio determinationi alterius ſit perpendicularis, quia
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            eo in caſu duæ illæ potentiæ, nec quicquam addere, nec
              <lb/>
            detrahere quicquam altera alteri, poſſunt, duabus deter-
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            minationibus, uti diximus, nihil oppoſiti habentibus. </s>
            <s xml:id="echoid-s6640" xml:space="preserve">Inde
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            fit ut potentia ſecundum B K eadem manere poſſit, idem-
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            que per conſequens illius effectus, licet in infinitum augea-
              <lb/>
            tur ſeu minuatur potentia ſecundum K G. </s>
            <s xml:id="echoid-s6641" xml:space="preserve">Eo in caſu ſola
              <lb/>
            potentia totalis B G mutationem patietur, quia ſemper æ-
              <lb/>
            qualis erit ſummæ potentiarum, ex quibus producta fue-
              <lb/>
            rit.</s>
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            <s xml:id="echoid-s6643" xml:space="preserve">Ex omnibus, quæ a me nunc dicta ſunt, ſequitur, na-
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            vem H B M, ſi pellatur ſecundum B G ope veli D C, &</s>
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