Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              in ſingulis punctis eſt diuerſa determinatio ad nouum circulum, quia
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              eſt nouus radius, quia continuò radius huius vertiginis imminuitur;
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              porrò duobus modis poteſt funis circa axem vel cylindrum conuolui. </s>
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              Primò, ſi ſemper circa
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              cylindri circulum voluatur; </s>
              <s id="N266F7">tunc autem
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              facit veras ſpiras, vt vides in A. Secundò, ſi circa diuerſos eiuſdem axis
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              circulos, vel potius diuerſa eiuſdem axis puncta voluatur, & hic eſt mo­
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              tus ſpiralis conicus, vt vides in cono FDE; </s>
              <s id="N26701">idem eſſet motus ſi conus
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              circa axem volueretur ſimulque aliquod punctum peripheriæ baſis coni
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              rectà ab ipſa peripheria ad verticem coni tenderet; </s>
              <s id="N26709">ſi enim totus conus
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              moueatur motu axis recto, quodlibet punctum ſuperficiei coni mouetur
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              motu ſpirali cylindrico, excepto dumtaxat ipſo vertice; hoc denique
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              motu mouerentur ſingula puncta baculi ED, qui in conum rotaretur à
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              vertice E eo tempore, quo rotans ipſe per rectam EG moueretur. </s>
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              Theorema
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              25.
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              Similiter poſſunt explicari motus ſpirales ſphærici, quos habes in
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              ; </s>
              <s id="N2672E">hic au­
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              tem motus duplex eſt; </s>
              <s id="N26734">primus mixtus ex recto per axem KL, quo totus
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              globus mouetur, & ex circulari circa axem KL, qui reuerâ eſt ſpiralis
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              cylindricus; </s>
              <s id="N2673C">ſecundus mixtus ex duobus circularibus, ſcilicet ex circulari
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              circa axem KL, & circulari per arcum IL, v.g. ſi punctum eo tempore
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              voluatur circa axem KL per arcum IO, quo fertur per arcum IL vnde
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              habes in hac figura tres motus ſpirales, quorum ſinguli conſtant ex circu­
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              lari circa axem KL; </s>
              <s id="N2674A">ſed deinde conſtant ſinguli ex ſingulis motibus di­
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              uerſis, ſcilicet ſpiralis cylindricus ex motu puncti I v.g. per rectam IN
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              parallelam KL; </s>
              <s id="N26754">ſpiralis conicus per rectam IL, & ſpiralis ſphæricus
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              per arcum IPL; </s>
              <s id="N2675A">hinc duo primi conſtant ex circulari, & recto; certius
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              verò ex duobus circularibus. </s>
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              <s id="N26762">Denique poteſt eſſe ſpiralis concoidicus qualem vides in iſque du­
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              plex; </s>
              <s id="N26768">primò ſi vertatur conois circa axem SV; </s>
              <s id="N2676C">ſecundò, ſi vertatur circa
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              axem XZ: </s>
              <s id="N26772">quippe hoc modo ſpiræ erunt maiores; </s>
              <s id="N26776">ſunt quoque ſinguli
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              triplicis generis; </s>
              <s id="N2677C">eſt enim vel parabolicus, vel ellipticus, vel hyperboli­
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              cus; porrò, qui dicunt motus cœleſtes eſſe ſpirales, viderint an ſint cy­
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              lindrici vel ſphærici, vel conici, vel elliptici &c. </s>
              <s id="N26784">omitto ſpiralem in pla­
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              no, mixtum ſcilicet ex circulari & recto, cuius ſchema habes Th.24. tùm
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              L 5. Th.79. de quo etiam aliàs, cum de lineis motus. </s>
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            <p id="N2678B" type="main">
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              Theorema
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              26.
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              Cum taleola ſupra planum rectilineum ita repit, vt etiam circa proprium̨
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              centrum voluatur, est motus mixtus ex recto & circulari
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              ; </s>
              <s id="N267A6">neque hic motus
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              diuerſus eſt à motu rotæ in plano, ſit enim taleola centro A, circa quod
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              vertitur dum centrum A repit motu recto per rectam AD, perinde ſe
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              habet, atque ſi rota in plano BE vel CF rotaretur; </s>
              <s id="N267B0">immò poteſt tabella
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              GK ita moueri, vt eius centrum A moueatur per AD, dum reliquæ par­
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              tes circa centrum A voluuntur; </s>
              <s id="N267B8">tunc enim punctum H eodem motu
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              moueretur, quo alia puncta peripheriæ huius rotæ; </s>
              <s id="N267BE">punctum verò I eo
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              modo quo I in radio BA, dum rota mouetur, quod ſuprà fusè explicui-</s>
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