Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N2136B">
            <pb pagenum="285" xlink:href="026/01/319.jpg"/>
            <p id="N21FCF" type="main">
              <s id="N21FD1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              37.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N21FDD" type="main">
              <s id="N21FDF">
                <emph type="italics"/>
              Licèt impetus non destruatur in motu rotæ, & impediatur determinatio
                <lb/>
              prima, vt patet; </s>
              <s id="N21FE7">attamen impedimentum non poteſt minus excogitari
                <emph.end type="italics"/>
              ; </s>
              <s id="N21FEE">cùm
                <lb/>
              nulla poſſit duci linea recta declinans ab AO, per quam noua determi­
                <lb/>
              natio fieri poſſit; </s>
              <s id="N21FF6">fit enim ratione anguli contingentiæ; </s>
              <s id="N21FFA">igitur determi­
                <lb/>
              natio noua proximè accedit ad priorem; igitur eſt minimum impedi­
                <lb/>
              mentum. </s>
            </p>
            <p id="N22002" type="main">
              <s id="N22004">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              38.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22010" type="main">
              <s id="N22012">
                <emph type="italics"/>
              Hinc in maiori rota minus eſt impedimentum
                <emph.end type="italics"/>
              ; </s>
              <s id="N2201B">quia ſcilicet minor eſt
                <lb/>
              angulus contingentiæ; </s>
              <s id="N22021">maius verò in minori rota: </s>
              <s id="N22025">porrò minor rota à
                <lb/>
              maiore ſeparata citiùs ſuos gyros abſoluit; </s>
              <s id="N2202B">quia ſunt minores, (ſuppono
                <lb/>
              æqualem impetum in extremo orbe rotæ vtriuſque productum,) idque
                <lb/>
              pro rata; ſi enim minor ſit ſubdupla maioris, maior vnum tantum gyrum
                <lb/>
              aget eo tempore, quo minor duos percurret. </s>
            </p>
            <p id="N22035" type="main">
              <s id="N22037">Obſerua primò, pondus applicatum in A non modò producere impe­
                <lb/>
              tum in toto radio AE; </s>
              <s id="N2203D">ſed etiam in toto radio oppoſito EC; </s>
              <s id="N22041">ratio eſt,
                <lb/>
              quia ſi impetus radij AE producit impetum in radio EC; </s>
              <s id="N22047">certè pondus
                <lb/>
              additum radio AE cenſetur pars eiuſdem radij; </s>
              <s id="N2204D">igitur impetus illius
                <lb/>
              ponderis immediatè producit impetum in radio EC; </s>
              <s id="N22053">quia impedit hic
                <lb/>
              radius oppoſitus motum alterius AE; </s>
              <s id="N22059">igitur, vt tollat impedimentum,
                <lb/>
              producit AE impetum in EC; </s>
              <s id="N2205F">ſi autem produceretur tantùm impetus in
                <lb/>
              EC ab impetu radij AE; </s>
              <s id="N22065">igitur, vel aliquid impetus eſſet fruſtrà, vel
                <lb/>
              nunquam radius minor poſſet attollere maiorem, quacunque accedente
                <lb/>
              potentia; </s>
              <s id="N2206D">ſit enim radius FE, in quo producatur quilibet impetus, ſit­
                <lb/>
              que radius oppoſitus maior duplo EC; </s>
              <s id="N22073">certè ſi impetus radij FE produ­
                <lb/>
              cit impetum in radio EC, vel producit æqualem, vel minorem, maiorem
                <lb/>
              enim producere non poteſt; ſi minorem, vel æqualem; </s>
              <s id="N2207B">igitur remiſſio­
                <lb/>
              rem, quia pluribus partibus ſubjecti diſtribuitur; </s>
              <s id="N22081">igitur vel motus eſſet
                <lb/>
              remiſſior radij EC quàm radij FE, quod dici non poteſt; </s>
              <s id="N22087">vel aliquid
                <lb/>
              impetus radij FE eſſet fruſtrà, quod etiam dici non poteſt; itaque poten­
                <lb/>
              tia applicata in F, mediante ſcilicet organo, quodcumque tandem illud
                <lb/>
              ſit.v.g. </s>
              <s id="N22091">pugno, producit impetum in ipſo organo, impetus verò organi,
                <lb/>
              ſeu pugni producit impetum primò in toto radio FE, tùm in toto radio
                <lb/>
              EC, id eſt totus impetus tùm pugni, tùm radij FC, ſcilicet innatus pro­
                <lb/>
              ducit impetum in alio radio EC; </s>
              <s id="N2209B">nec enim producitur tantùm ab impe­
                <lb/>
              tu radij propter rationem ſuprà allatam, cùm ſit maior impetus in radio
                <lb/>
              EC quàm in radio FE; </s>
              <s id="N220A3">nec tantùm ab impetu pugni, vel organi admo­
                <lb/>
              ti; </s>
              <s id="N220A9">quia etiamſi nullus accederet nouus impetus radio AE, ſed tantùm
                <lb/>
              minimum pondus; </s>
              <s id="N220AF">haud dubiè attolleret radium EC: </s>
              <s id="N220B3">Adde quod ra­
                <lb/>
              dius EC impedit motum radij FE; </s>
              <s id="N220B9">igitur ab impetu huius producitur
                <lb/>
              etiam in illo impetus; igitur tùm ab impetu pugni, vel organi, tùm ab
                <lb/>
              impetu radij FE producitur impetus in radio EC. </s>
            </p>
          </chap>
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