Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              Quartò, è contrario ſi accedat propiùs ad capulum petentis DF, & pro­
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              piùs ad mucronem declinantis; addi poteſt quinta combinatio, cum
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              ſcilicet contactus eſt in medio vtriuſque. </s>
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            <p id="N287F6" type="main">
              <s id="N287F8">Quartò, ſi ſit mera impulſio ſine percuſſione, vel impactione, maxi­
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              ma vis eſt declinationis, cum punctum contactus accedit propiùs ad ca­
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              pulum declinantis, & ad mucronem petentis iuxta tertiam combinatio­
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              nem, & ſitum DFPE, & punctum contactus in B; </s>
              <s id="N28802">ratio eſt, cum verta­
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              tur PE circa P applicatæ potentiæ in P, maius eſt momentum in B
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              quàm in alio puncto verſus E, vt patet; </s>
              <s id="N2880A">quippe B mouetur minore motu; </s>
              <s id="N2880E">
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              igitur faciliùs; </s>
              <s id="N28813">præterea FD mouetur circa D; igitur in B faciliùs pelli­
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              tur, quàm in vllo puncto verſus D ratione vectis. </s>
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            <p id="N28819" type="main">
              <s id="N2881B">Quintò, cum punctum contactus accedit propiùs ad capulum peten­
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              tis, & ad mucronem impellentis, minima vis eſt declinationis, ſcilicet
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              iuxta quartam combinationem, & ſitum DFRG: ratio eſt, quia minor
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              eſt vis potentiæ applicatæ in R, & maior reſiſtentia applicatæ in D, vt
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              patet ex dictis. </s>
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            <p id="N28827" type="main">
              <s id="N28829">Sextò, cum punctum contactus accedit propiùs ad capulum vtrïuſque
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              iuxta ſecundam combinationem, & ſitum DFSH, tunc eſt maxima vis
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              declinantis, & maxima reſiſtentia petentis; </s>
              <s id="N28831">vnde vna compenſatur ab
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              alia; </s>
              <s id="N28837">cum verò punctum contactus accedit propiùs ad mucronem vtriuſ­
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              que, minima eſt vis impellentis, & minima reſiſtentia impulſi iuxta pri­
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              mam combinationem, & ſitum DFAC; ratio patet ex dictis. </s>
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            <p id="N2883F" type="main">
              <s id="N28841">Septimò, hinc tam facilè declinatur ictus gladij DF, ſiue fiat iuxta
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              primam combinationem, ſiue iuxta ſecundam, quia licèt ſit minima vis
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              in prima; </s>
              <s id="N28849">eſt etiam minima reſiſtentia; </s>
              <s id="N2884D">& licèt ſit maxima reſiſtentia
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              in ſecunda, eſt etiam maxima vis; </s>
              <s id="N28853">igitur vna compenſat aliam, vt patet; </s>
              <s id="N28857">
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              immò iuxta ſitum DFQK, poſito puncto contactus in L, & iuxta om­
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              nem alium ſitum, in quo punctum contactus æqualiter diſtat à mucro­
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              ne vtriuſque, vis declinantis æqualis eſt; eſt enim æqualis ratio virium,
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              & reſiſtentiæ, vt conſtat, poſita vtriuſque longitudine. </s>
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            <p id="N28862" type="main">
              <s id="N28864">Octauò, ſi verò impulſio, vel declinatio fiat cum impactione, tribus
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              modis id fieri poteſt; </s>
              <s id="N2886A">primo, motu circulari circa pilam capularem A: </s>
              <s id="N2886E">
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              ſecundo, motu circulari circa centrum diſtans 3/4 à capulò, tertio, motu
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              recto ducto ſcilicet gladio dextrorſum, vel ſiniſtrorſum horizonti pa­
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              rallelo; primus modus peſſimus eſt, quia totum corpus, defectum manet. </s>
              <s id="N28877">
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              Tertius proximè ad priorem accedit propter
                <expan abbr="eãdem">eandem</expan>
              rationem. </s>
              <s id="N2887F">Secun­
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              dus optimus omnium, & communis eſt, quia ſemper gladius tegit
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              corpus. </s>
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            <p id="N28886" type="main">
              <s id="N28888">Nonò, ſi primo modo declinatur ictus repulſo petentis gladio maxi­
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              ma vis erit; ſi punctum contactus fiat circa 2/3 de quo infrà, quod verò
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              ſpectat ad gladium, qui repellitur, eò faciliùs repellitur, quò punctum
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              contactus propiùs ad eius mucronem accedet. </s>
              <s id="N28892">Si tertio modo, & gla­
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              dius ſolus ita libraretur maxima vis eſſet circa centrum eius grauitatis; </s>
              <s id="N28898">
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              in hoc enim puncto maximum ictum infligunt, quæ motu recto mo­
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              uentur; quia verò totum ſegmentum brachij, quod inter manum, & </s>
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