Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              extremitatem ſenſim imminuitur; </s>
              <s id="N283FD">tùm quia minor eſt radius illius mo­
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              tus, quia circulari incipit: hinc extremitas funis velociſſimè tandem
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              mouetur, & impacta acutiſſimum ictum incutit. </s>
              <s id="N28405">Septimò, obſerua pro­
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              pter illam inflexionem motum diutiùs perſeuerare; </s>
              <s id="N2840B">igitur potentia
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              manet diutiùs applicata; </s>
              <s id="N28411">igitur maiorem effectum producit, vnde re­
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              uocare poteſt: hunc effectum ad illud phænomenum baculi flexibilis,
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              de quo ſuprà. </s>
              <s id="N28419">Octauò, hinc pueri ſtrophiolis prædicto modo inflexis
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              inter ſe contendunt, pro quo eſt eadem ratio. </s>
              <s id="N2841E">Nonò, hinc vt excutiatur
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              puluis ex pannis, eodem modo ſuccutiuntur; </s>
              <s id="N28424">tùm propter tenſionem
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              filorum, quæ pulueri liberiores meatus aperit; </s>
              <s id="N2842A">tùm propter vibrationes
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              quæ puluerem abigunt: </s>
              <s id="N28430">immò flexibus aduerſis tapetes ita ſuccutiun­
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              tur, vt flexus hinc inde currentes quaſi tumentes fluctus, ſibi inuicem
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              occurrant in medio tapete, & allidantur; </s>
              <s id="N28438">hinc ſequitur tenſio; </s>
              <s id="N2843C">hinc
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              vibratio, pulueris excuſſio, hinc etiam ſtrepitus; denique clariſſimè vi­
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              dentur flexus illi volubiles in extenſa mappa, quorum ratio patet ex
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              dictis. </s>
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              Theorema
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              13.
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              Explicari poſſunt omnia percuſſionum phœnomena, quæ fiunt opera mallei,
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              hîc conſideratur malleus quaſi incuſſus circulari motu, qui nullo mo­
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              do coniunctus ſit cum motu naturali deorſum, quod tamen infrà ex­
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              plicabimus; hoc poſito. </s>
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              <s id="N28466">Primò, quò maior eſt malleus eodem arcu impactus & manubrio,
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              maior eſt ictus, quia tardiùs mouetur; </s>
              <s id="N2846C">igitur potentia manet diutiùs
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              applicata; igitur maior eſt ictus, vt conſtat ex dictis. </s>
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              <s id="N28474">Secundò, hinc ex hac hypotheſi ictus ſunt in ratione ſubduplicata
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              ponderum malleorum; conſtat etiam, poſita ſcilicet eadem longitudine
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              manubrij. </s>
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              <s id="N2847E">Tertiò, maior incutitur ictus non quidem circa extremitatem
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              baſis mallei, nec circa medium, ſed circa mediam proportionalem
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              inter diametrum baſis, & ſubduplum, patet per Th. 73. l. 1. Co­
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              rol. 4. </s>
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              <s id="N2848E">Quartò, ſi ſit longius manubrium mallei, maiorem ictum infliget; </s>
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              quia tardius maiorem arcum decurrit, quàm minorem; </s>
              <s id="N28497">igitur potentia
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              manet diutiùs applicata; </s>
              <s id="N2849D">igitur maiorem effectum producit; </s>
              <s id="N284A1">quod au­
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              tem tardiùs ſuum arcum perficiat maior radius, patet experientia ma­
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              ioris perticæ & breuioris fuſtis; cuius ratio eſt, quia idem impetus ma­
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              iori moli impreſſus remiſſior eſt, quia ſcilicet pluribus partibus diſtri­
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              buitur. </s>
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              <s id="N284AF">Quintò, velocitates extremitatum, poſita diuerſa longitudine manu­
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              brij, ſunt vt ipſæ longitudines permutando: </s>
              <s id="N284B5">probatur, quia cùm ſit mo­
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              tus acceleratus, ſpatia ſunt vt quadrata temporum; ſed velocitates
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              ſunt vt tempora, & tempora ſunt in ratione ſubduplicata ſpatiorum. </s>
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              id eſt, vt diametri quadratorum, id eſt, vt longitudines, ſit enim lon­
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              gitudo AB, quæ dato tempore H decurrat ſpatium ABF, potentia </s>
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