Alvarus, Thomas, Liber de triplici motu, 1509

Table of figures

< >
< >
page |< < of 290 > >|
    <echo version="1.0">
      <text xml:lang="la">
        <div xml:id="N10132" level="1" n="1" type="body">
          <div xml:id="N15C17" level="2" n="3" type="other" type-free="pars">
            <div xml:id="N15C22" level="3" n="1" type="other" type-free="tractatus">
              <div xml:id="N1BD9F" level="4" n="15" type="chapter" type-free="capitulum">
                <p xml:id="N1C61A">
                  <s xml:id="N1C61B" xml:space="preserve">
                    <pb chead="De motu quo ad cauſam in medio nõ reſiſtente." file="0128" n="128"/>
                  bationē negãdo añs vcꝫ  īmediate poſt hoc in eq̈li
                    <lb/>
                  tēpore in īfinitū paruū ſpaciū ꝑtranſibit aliqḋ illo­
                    <lb/>
                  rum mobiliū equaliū ipſi a. et cū ꝓbat̄̄ / q2 īmediate
                    <lb/>
                  poſt hoc in aliquo tꝑe in īfinitū modicū erit mediū
                    <lb/>
                  in quo mouet̄̄ aliqḋ illoꝝ nego illud: īmo quocnu
                    <lb/>
                  tꝑe dato poſt hoc in illo latitudo in qua mouet̄̄ a.
                    <lb/>
                  erit extēſa per aliquã partē medii: et in eodē tēpore
                    <lb/>
                  ꝑ maiorē partē medii erit extenſa eadē latitudo iu
                    <lb/>
                  quolibet alioꝝ medioꝝ / vt ptꝫ ex caſu: qm̄ quantãcū­
                    <lb/>
                   extenſionē acquirit illa latitudo in medio b. in q̊
                    <lb/>
                  mouetur a. tantã adequate in eodē tēpore acquirit
                    <lb/>
                  eadē latitudo in quolibet alioꝝ medioꝝ ſupra extē­
                    <lb/>
                  ſionē quã iam habet in quolibet illoꝝ: et ſic cõtinuo
                    <lb/>
                  in quolibet alioꝝ medioꝝ erit magis extēſa illa la­
                    <lb/>
                  titudo quã in b. medio in quo mouetur a.</s>
                </p>
                <p xml:id="N1C649">
                  <s xml:id="N1C64A" xml:space="preserve">Sed contra / q2 ſi latitudo in quolibet
                    <lb/>
                  illoꝝ medioꝝ a b. ſtaret tūc in infinitū tarde moue-
                    <lb/>
                  tur aliquod illoꝝ mobiliū in aliquo illoꝝ mediorū
                    <lb/>
                  in aliquo tempore poſt inſtans initiatiuū motus / et
                    <lb/>
                  tunc a. moueretur adhuc quolibet illoꝝ tardiꝰ: igr̄
                    <lb/>
                  </s>
                  <s xml:id="N1C656" xml:space="preserve">Maior ꝓbato eſt ſuperius / qm̄ īmedietate poſt in-
                    <lb/>
                  ſtans initiatiuū motus in equali tēpore in infinitū
                    <lb/>
                  modicū erit ſpaciū pertranſitū ab aliquo illoꝝ cū
                    <lb/>
                  in infinitū modicū ſit aliquod illoꝝ mediorū. </s>
                  <s xml:id="N1C65F" xml:space="preserve">Sed
                    <lb/>
                  iam ꝓbatur minor / q2 quãdo ille latitudines mouē­
                    <lb/>
                  tur in illis mediis / vt poſitū eſt in argumento a. mo­
                    <lb/>
                  uetur quolibet illoꝝ mobiliū tardius / vt ptꝫ ex ar-
                    <lb/>
                  gumento et in nulla ꝓportione incipit aliquod illo­
                    <lb/>
                  rum mobiliū velocius moueri mouente latitudine
                    <lb/>
                  quã quieſcente: ergo a. quolibet illoꝝ medioꝝ quie-
                    <lb/>
                  ſcente et latitudine in eis ſimiliter incipit quolibet
                    <lb/>
                  illoꝝ tardius moueri. </s>
                  <s xml:id="N1C672" xml:space="preserve">Minor ꝓbatur / quia ſi nõ de­
                    <lb/>
                  tur aliquod illoꝝ quod ſit d. quod in aliqua ꝓpor-
                    <lb/>
                  tione puta dupla incipiat velocius moueri latitu-
                    <lb/>
                  dine mota quã latitudine quieſcente / et arguitur ſic /
                    <lb/>
                  d. in duplo velociꝰ incipit moueri latitudine ſic mo­
                    <lb/>
                  uente / vt ponitur in caſu argumenti quã ſic quieſcē­
                    <lb/>
                  te, ponatur igitur /  incipiat moueri ſimul in quie­
                    <lb/>
                  ſcente latitudine et in mouente: et arguitur ſic / in du­
                    <lb/>
                  plo velocius per te incipit moueri d. in latitudine
                    <lb/>
                  mouente quã quieſcente: ergo immediate poſt hoc
                    <lb/>
                  demonſtrato inſtanti initiatiuo motus d. in latitu­
                    <lb/>
                  dine mota in duplo plus diſtabit a puncto initia-
                    <lb/>
                  tiuo motus quã in latitudine non mota et erit in la­
                    <lb/>
                  titudine mota in puncto in duplo remiſſiori: et in
                    <lb/>
                  latitudine non mota in puncto in dnplo intenſiori /
                    <lb/>
                  igitur īmediate poſt hoc latitudo mota erit in du-
                    <lb/>
                  plo maior in loco vbi mouetur quã in loco vbi quie­
                    <lb/>
                  ſcit: ſed conſequens eſt falſum / quia ſucceſſiue in ca­
                    <lb/>
                  ſu ſit extenſior vbi mouetur quã eſt in loco vbi quie-
                    <lb/>
                  ſcit / vt ponitur igitur. </s>
                  <s xml:id="N1C69B" xml:space="preserve">Ultima conſequentia proba­
                    <lb/>
                  tur / quia ſi tantum diſtaret a puncto initiatiuo mo­
                    <lb/>
                  tus in latitudine non mota punctus in quo poten-
                    <lb/>
                  tia eſt in inſtanti in quo ſic mouetur in duplo tar-
                    <lb/>
                  dius quantum diſtat punctus ſubduplus in quo eſt
                    <lb/>
                  potentia in latitudine mota: manifeſtum eſt /  illa
                    <lb/>
                  latitudo mota eſſet in duplo extenſior latitudine
                    <lb/>
                  quieſcente in loco in quo quieſcit: quia tantum di-
                    <lb/>
                  ſtaret in latitudine mota aliquis punctus ab extre­
                    <lb/>
                  mo remiſſiori quantum duplus punctus diſtaret in
                    <lb/>
                  latitudine non mota: et ſic manifeſtum eſt /  in loco
                    <lb/>
                  in quo mouetur eſt in duplo extēſior quã in loco in
                    <lb/>
                  quo quieſcit. </s>
                  <s xml:id="N1C6B6" xml:space="preserve">Et ſic probabitur quacun alia pro-
                    <lb/>
                  portione data /  īmediate poſt hoc in eadem pro-
                    <lb/>
                  portione latitudo in quo mouetur erit maior lati-
                    <lb/>
                  tudine vbi quieſcit. </s>
                  <s xml:id="N1C6BF" xml:space="preserve">Dico in eadē vel maiori: et ſem-
                    <lb/>
                  ꝑ ſuppono latitudīes manere vniformiṫ difformes</s>
                </p>
                <p xml:id="N1C6C4">
                  <s xml:id="N1C6C5" xml:space="preserve">Reſpondeo ad replicam concedendo
                    <cb chead="De motu quo ad cauſam in medio nõ reſiſtente."/>
                  maiorem, et negando mnorem, et ad probationem
                    <lb/>
                  nego /  in nulla proportione incipit aliquod illo-
                    <lb/>
                  rum velocius mouere latitudine mouente quã ipſa
                    <lb/>
                  quieſcente: immo do oppoſitum puta /  in aliqua
                    <lb/>
                  proportione incipit aliquod illorum velocius mo-
                    <lb/>
                  ueri latitudine mouente quam ipſa quieſcente. </s>
                  <s xml:id="N1C6D5" xml:space="preserve">Et
                    <lb/>
                  cum petitur /  detur / quod illorū ſic in aliqua pro-
                    <lb/>
                  portiõe velociꝰ īcipit moueri latitudīe mouēte quã
                    <lb/>
                  quieſcente. </s>
                  <s xml:id="N1C6DE" xml:space="preserve">Dico /  ly aliquod illorū ſupponit con­
                    <lb/>
                  fuſe tantum. </s>
                  <s xml:id="N1C6E3" xml:space="preserve">Et ideo non debet ſignari: quãuis ſi-
                    <lb/>
                  gnetur proportio quia ly proportiõe ſupponit de-
                    <lb/>
                  terminate.
                    <note position="right" xlink:href="note-0128-01a" xlink:label="note-0128-01" xml:id="N1C724" xml:space="preserve">1. correĺ.</note>
                  </s>
                  <s xml:id="N1C6EF" xml:space="preserve">¶ Ex quo ſequitur /  in aliqua propor-
                    <lb/>
                  tione incipit aliquod illorum velocius moueri la-
                    <lb/>
                  titudine mota quam quieſcente et tamen in nulla
                    <lb/>
                  proportione aliquod illorum incipit velocius mo-
                    <lb/>
                  ueri latitudine mota quam quieſcente. </s>
                  <s xml:id="N1C6FA" xml:space="preserve">Patet cor-
                    <lb/>
                  relarium ex logica et ex improbatione oppoſiti hu­
                    <lb/>
                  ius propoſitionis aſſumpte in nulla proportione
                    <lb/>
                  incipit aliquod illorum etc̈.
                    <note position="right" xlink:href="note-0128-02a" xlink:label="note-0128-02" xml:id="N1C72A" xml:space="preserve">2. correĺ.</note>
                  </s>
                  <s xml:id="N1C708" xml:space="preserve">¶ Sequitur ſecundo / 
                    <lb/>
                  in infinitum tarde incipit aliquod illorum moueri
                    <lb/>
                  quieſcentibus illis latitudinibus et tamen nullum
                    <lb/>
                  illorum aliqua proportione incipit tardius moue­
                    <lb/>
                  ri altero. </s>
                  <s xml:id="N1C713" xml:space="preserve">Prima pars huiꝰ correlarii patet ex ſu-
                    <lb/>
                  perioribus: et ſecunda probatur / quia quodlibet il­
                    <lb/>
                  lorū ab eadem reſiſtentia vel ab equali incipit mo-
                    <lb/>
                  ueri: ergo nullum illorum aliqua proportione in-
                    <lb/>
                  cipit moueri velociꝰ altero: q2 alias ſeq̄ret̄̄ /  illam
                    <lb/>
                  maiorē ꝓportionē ſubito acq̇reret / quod eſt falſuꝫ.</s>
                </p>
                <p xml:id="N1C730">
                  <s xml:id="N1C731" xml:space="preserve">Quarto contra quartam concluſio-
                    <lb/>
                  nem quartidecimi capitis arguitur ſic.
                    <note position="right" xlink:href="note-0128-03a" xlink:label="note-0128-03" xml:id="N1C7C6" xml:space="preserve">Senariꝰ
                      <lb/>
                    tñ puto cõfūdere
                      <lb/>
                    ly aliq̄ ꝓ­
                      <lb/>
                    portione</note>
                  </s>
                  <s xml:id="N1C73B" xml:space="preserve">Si illa con­
                    <lb/>
                  cluſio eſſet vera / ſequeretur in caſu /  a. potētia quo­
                    <lb/>
                  cun gradu intrinſeco alicuius reſiſtentie per quã
                    <lb/>
                  mouetur dato: incipit velocius intendere motum
                    <lb/>
                  ſuum et moueri: quolibet illorum punctorum inci-
                    <lb/>
                  piente motum ſuum intendere a non gradu et po-
                    <lb/>
                  tentia ſimul: ſed conſequens eſt falſum / igitur illud
                    <lb/>
                  ex quo ſequitur. </s>
                  <s xml:id="N1C74C" xml:space="preserve">Sequela probatur / et pono /  ſit
                    <lb/>
                  vna latitudo a non gradu vſ ad octauum vnifor-
                    <lb/>
                  miter difformis progrediens a non quanto quoli-
                    <lb/>
                  bet eius puncto intrinſeco incipiente a nõ gradu
                    <lb/>
                  intendere motum ſuum: et tncipiat ſimul cum tali
                    <lb/>
                  latitudine moueri potentia vt .8. / quo poſito argui­
                    <lb/>
                  tur ſic / quilibet punctus intrinſecus incipit vnifor-
                    <lb/>
                  miter intendere motum ſuū a non gradu / vt ptꝫ ex
                    <lb/>
                  caſu: et potētia ſimiliter (qm̄ ſi potētia inciperet a
                    <lb/>
                  gradu: iam quolibet pūcto inciperet velociꝰ moue­
                    <lb/>
                  ri et ſic quodlibet inciperet p̄cedere: et per cõſequēs
                    <lb/>
                  nõ moueret̄̄ cū illa latitudine: ſed ſubito pertrãſi-
                    <lb/>
                  ret totū mediū nõ reſiſtēs) et in illo caſu a quolibet
                    <lb/>
                  pūcto intrīſeco illiꝰ latitudīs īcipit velociꝰ moueri:
                    <lb/>
                  et velociꝰ ītēdere motū ſuū: igr̄ ꝓpoſitū. </s>
                  <s xml:id="N1C76B" xml:space="preserve">Ptꝫ ↄ̨ña cū
                    <lb/>
                  maiore: et ꝓbat̄̄ mīor / qm̄ qḋlibet punctū intrīſecū
                    <lb/>
                  īcipit p̄cedere: g̊ q̊libet pūcto intrīſeco īcipit velociꝰ
                    <lb/>
                  intendere motū ſuū et moueri. </s>
                  <s xml:id="N1C774" xml:space="preserve">Probat̄̄ añs / q2 ipſa
                    <lb/>
                  īcipit a nõ g̈du: g̊ īcipit a pūcto ſibi eq̈li ꝓcedēdo cõ­
                    <lb/>
                  tinuo ſus pūcta minꝰ intēſa: g̊ ſequit̄̄ /  qḋlibet in­
                    <lb/>
                  trīſecū īcipit p̄cedere.
                    <note position="right" xlink:href="note-0128-04a" xlink:label="note-0128-04" xml:id="N1C7D2" xml:space="preserve">ↄ̨firmat̄̄.</note>
                  </s>
                  <s xml:id="N1C782" xml:space="preserve">¶ Et ↄ̨firmat̄̄ / q2 ſi nõ det̄̄ / igit̄̄
                    <lb/>
                  pūctꝰ ītrīſecꝰ illiꝰ latitudinis quē nõ p̄ceſſit a. et ma­
                    <lb/>
                  nifeſtū eſt /  a. hꝫ ad illū certã ꝓportionē: et ſemꝑ ꝑ­
                    <lb/>
                  te mouebat̄̄ cū remiſſiori pūcto a prīcipio motꝰ: g̊
                    <lb/>
                  ſequit̄̄ /  talis poña ab aliq̈ certa ꝓportiõe incipit
                    <lb/>
                  moueri: et nõ īcipit a nõ g̈du qḋ eſt ↄ̨tra caſū. </s>
                  <s xml:id="N1C78F" xml:space="preserve">Patꝫ
                    <lb/>
                  ↄ̨ña / q2 ↄ̨tinuo mouet̄̄ a maiori ꝓportiõe ꝙ̄ ſi ꝓpor­
                    <lb/>
                  tio quã hꝫ ad illū pūctū quē nū̄ p̄ceſſit etc̈. </s>
                  <s xml:id="N1C796" xml:space="preserve">Sꝫ iã ꝓ­
                    <lb/>
                  bat̄̄ falſitas ↄ̨ñtis / q2 ſi a poña īcipit q̊libet puncto
                    <lb/>
                  intrīſeco velociꝰ moueri / ſequit̄̄ /  inſtãti qḋ eſt pñs
                    <lb/>
                  et initiatiuo motꝰ ip̄a poña nõ mouet̄̄ velociꝰ q̊libet
                    <lb/>
                  pūcto ītrīſeco: et īmediate poſt inſtãs / qḋ eſt pñs mo­
                    <lb/>
                  uebit̄̄ velociꝰ quolibet pūcto intrinſeco: ſed ↄ̨ñs eſt </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum