Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              hinc vt artifices ſuas verſent rotas faciliùs, vel maximè curuum manu­
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              brium adhibent, vel affixo verſus circumferentiam in plano rotæ clauo
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              rotam agunt in orbes; quæ omnia clarè ſequuntur ex dictis. </s>
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              Theorema
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              50.
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              </s>
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              Minor rota faciliùs vertitur in circulo horizontali; </s>
              <s id="N223AE">quàm maior.
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              v. g.ro­
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              ta FGHI, quàm AB CD; </s>
              <s id="N223B9">quia ſcilicet producitur minùs impetus in
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              minore, quàm in maiore, vt patet; </s>
              <s id="N223BF">ſunt enim pauciores partes in mino­
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              re, plures in maiore; </s>
              <s id="N223C5">mouetur autem faciliùs minor, quàm maior iuxta
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              rationem diametrorum, permutando; </s>
              <s id="N223CB">Probatur, quia producatur impe­
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              tus in A maioris rotæ, ita vt dato tempore conficiat AK; </s>
              <s id="N223D1">tùm æqualis
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              impetus in F minoris rotæ; </s>
              <s id="N223D7">certè eodem tempore conficiet punctum F
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              arcum FG æqualem AK; </s>
              <s id="N223DD">ſed quadrans FEG eſt ad ſectorem AEK, vt
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              FE ad AE, vt conſtat; </s>
              <s id="N223E3">igitur facilitas motus minoris rotæ eſt ad facili­
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              tatem motus maioris, vt FE ad AE; </s>
              <s id="N223E9">igitur & impetus; ſed quò minor
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              eſt impetus, eſt maior facilitas, &c. </s>
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              Theorema
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              51.
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              </s>
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              Hinc tantæ molis poſſet eſſe rota in ſitu horizontali, vt à potentia etiam ve­
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              geta minimè verti poſſes,
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              vt clarum eſt; </s>
              <s id="N2240A">neque hîc vllo modo conſidero
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              reſiſtentiam, quæ petitur à compreſſione, & affrictu partium, qui haud
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              dubiè maior eſt in maiore rota; </s>
              <s id="N22412">ſed tantùm conſidero reſiſtentiam ne­
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              gatiuam, hoc eſt eam, quæ tantùm petitur à maiore numero partium ro­
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              tæ; </s>
              <s id="N2241A">quò enim ſunt plures ſubjecti partes, plures etiam partes impetus de­
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              ſiderantur, vt ſæpè dictum eſt; igitur maior potentia. </s>
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              Theorema
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              52.
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              </s>
            </p>
            <p id="N2242E" type="main">
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              Destruitur impetus productus in hac rotæ horizontali, ſed ſenſim ſine ſenſu
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              propter affrictum,
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              vt ſuprà dictum eſt: </s>
              <s id="N2243B">hinc eſſet motus perpetuus, ſi nul­
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              lus eſſet affrictus; </s>
              <s id="N22441">minùs impetus deſtruitur in maiore rota, quàm in mi­
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              nore: hinc gyrus minoris citiùs peragitur, & deſinit minor citiùs
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              moueri. </s>
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            <p id="N22449" type="main">
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              Theorema
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              53.
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              </s>
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            <p id="N22457" type="main">
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              Minor rota citiùs ſuum gyrum abſoluit, quàm maior,
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              vt dictum eſt ſuprà,
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              ſiue ſit in ſitu verticali, ſiue in ſitu horizontali; </s>
              <s id="N22464">ſed non eſt determinata
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              proportio, quàm hîc deſideramus; dico enim tempora motuum eſſe, vt
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              radios. </s>
              <s id="N2246C">v.g.tempus, quo rota minor FGHI ſuum gyrum abſoluit, eſſe ad
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              tempus, quo maior ABCD ſuum perficit, vt eſt radius FE ad radium
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              AE, quod demonſtro; </s>
              <s id="N22474">quia ſit impetus æqualis impreſſus puncto A ma­
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              ioris rotæ puncto F minoris, ita vt A & F moueantur æquali motu; </s>
              <s id="N2247A">mi­
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              nor rota conficit duos orbes eo tempore, quo maior vnum conficit, vt
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              conſtat ex dictis; quia ſuppono. </s>
              <s id="N22482">v. g. circulum minoris eſſe ſubduplum;
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              </s>
              <s id="N22483">igitur tempus, quo peragitur maior eſt ad tempus, quo peragitur minor
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              in ratione dupla; </s>
              <s id="N22484">igitur vt radius AE ad radium FE, quod erat demon­
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              ſtrandum. </s>
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