Alvarus, Thomas, Liber de triplici motu, 1509

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              <div xml:id="N1BD9F" level="4" n="15" type="chapter" type-free="capitulum">
                <p xml:id="N1C39A">
                  <s xml:id="N1C45D" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0127" n="127"/>
                  motum ſuum. </s>
                  <s xml:id="N1C479" xml:space="preserve">Et ſic iam patet /  non oportet /  ſem­
                    <lb/>
                  per intendat nec  ſemper remittat </s>
                  <s xml:id="N1C47E" xml:space="preserve">Sed  nõ opor­
                    <lb/>
                  tet  aliquado intendat: et aliquando remittat pa­
                    <lb/>
                  tet, ponēdo /  nū̄ punctus vt ſex moueatur a pro-
                    <lb/>
                  portione dupla īmo ſemper a minori imo  maxi-
                    <lb/>
                  ma proportio a qua mouebitur punctus vt .8. ſit mi­
                    <lb/>
                  nor ſexquialtera continuo tamen moueatur a ma-
                    <lb/>
                  iori et maiori. </s>
                  <s xml:id="N1C48D" xml:space="preserve">Quo poſito iam patet /  poña conti­
                    <lb/>
                  nuo intendit motum ſuum. </s>
                  <s xml:id="N1C492" xml:space="preserve">Ultima vero pars cor-
                    <lb/>
                  relarii patet ex caſu correlarii. </s>
                  <s xml:id="N1C497" xml:space="preserve">¶ Illam tamen par­
                    <lb/>
                  ticulam que dicit /  aliquando poteſt intendere et
                    <lb/>
                  aliquaudo remittere tan̄ probaliter poſitã re-
                    <lb/>
                  linquo </s>
                  <s xml:id="N1C4A0" xml:space="preserve">Non enim eam ſufficienter demonſtraui / q2
                    <lb/>
                  non probo poſſibilitatem caſus / in quo illam dico
                    <lb/>
                  eſſe veram </s>
                  <s xml:id="N1C4A7" xml:space="preserve">Diſcutiat igitur eam alter.</s>
                </p>
                <note position="left" xml:id="N1C4C6" xml:space="preserve">8. correl.</note>
                <p xml:id="N1C4CA">
                  <s xml:id="N1C4CB" xml:space="preserve">¶ Sequitur octauo /  latitudine reſiſtentie vnifor-
                    <lb/>
                  miter difformis ſic ſe condenſante ſubiecto eius q̇e­
                    <lb/>
                  ſcente et quolibet puncto illius dempto remiſſiori
                    <lb/>
                  continuo mouente vniformiter: potentia incipiens
                    <lb/>
                  moueri ab extremo intenſiori verſus remiſſius ve-
                    <lb/>
                  locius et velocius intendit motum ſuum: dummodo
                    <lb/>
                  velocius incipiat moueri quã gradus a quo īcipit
                    <lb/>
                  moueri moueatur. </s>
                  <s xml:id="N1C4DC" xml:space="preserve">Probatur correlarium / quia di­
                    <lb/>
                  diuiſo totali tempore in quo pertinget extremū re­
                    <lb/>
                  miſſius in duas partes equales manifeſtum eſt / 
                    <lb/>
                  plus reſtabit tranſeundum de reſiſtentia in ſecūda
                    <lb/>
                  medietate quã pertranſitum ſit quia plus reſtabit
                    <lb/>
                  de ſubiecto pertranſeundum quã pertranſitum. </s>
                  <s xml:id="N1C4E9" xml:space="preserve">igi­
                    <lb/>
                  tur plus de reſiſtentia. </s>
                  <s xml:id="N1C4EE" xml:space="preserve">Probatur antecedens / quia
                    <lb/>
                  in prima medietate illius temporis potentia nõ de­
                    <lb/>
                  ueniet ad medium illius ſubiecti: et per conſeq̄ns nec
                    <lb/>
                  ad medium illius reſiſtentie cum medium illius reſi­
                    <lb/>
                  ſtentie iam ſit vltra medium illius ſubiecti: igitur
                    <lb/>
                  plus tam de ſubiecto quã de reſiſtentia reſtabit trã­
                    <lb/>
                  ſeundum in ſecunda medietate quã in prima. </s>
                  <s xml:id="N1C4FD" xml:space="preserve">Pa-
                    <lb/>
                  tet antecedens clare / q2 velocius talis poña moue-
                    <lb/>
                  bitur in ſecunda medietate quã in prima: ergo plus
                    <lb/>
                  pertranſibit in ſecunda quam in prima: et ſic in pri­
                    <lb/>
                  ma non pertranſibit medietatem </s>
                  <s xml:id="N1C508" xml:space="preserve">Et ſic probabi-
                    <lb/>
                  tur diuiſa ſecūda medietate in duas partes equa-
                    <lb/>
                  les  plus pertranſeundum eſt in ſecunda quã per­
                    <lb/>
                  tranſitur in prima. </s>
                  <s xml:id="N1C511" xml:space="preserve">Et iterum illa in duas / et ſic con­
                    <lb/>
                  ſequenter velocius in quolibet tēpore ſequenti quã
                    <lb/>
                  in precedenti: et ſic velocius ꝓportionabiliter ſibi
                    <lb/>
                  decreſcit reſiſtentia in ſecunda medietate quam in
                    <lb/>
                  prima / vt patet intuenti cunabula huius materie: et
                    <lb/>
                  per conſequens velocius et velocius intendit motū
                    <lb/>
                  ſuum / qund fuit probandum.
                    <note position="left" xlink:href="note-0127-01a" xlink:label="note-0127-01" xml:id="N1C56A" xml:space="preserve">.9 correl.</note>
                  </s>
                  <s xml:id="N1C525" xml:space="preserve">¶ Sequitur nono / 
                    <lb/>
                  vbicun poña in latitudine ſic cõdenſante cõtinuo
                    <lb/>
                  intendit motum ſuum, ſiue quolibet puncto qui mo­
                    <lb/>
                  uetur mouente vniformiter: ſiue continuo remitten­
                    <lb/>
                  te: ſiue intendente talis poña velocius et velocius in­
                    <lb/>
                  tendit motum ſuum. </s>
                  <s xml:id="N1C532" xml:space="preserve">Patet correlarium ex dictis.
                    <lb/>
                    <note position="left" xlink:href="note-0127-02a" xlink:label="note-0127-02" xml:id="N1C570" xml:space="preserve">10. corre.</note>
                  </s>
                  <s xml:id="N1C53C" xml:space="preserve">¶ Sequitur decimo /  vbicū extremum intenſius
                    <lb/>
                  quieſcit quolibet puncto alio continuo vniformiter
                    <lb/>
                  mouente et condenſante: poña incipiens velociꝰ mo­
                    <lb/>
                  ueri quam extremū remiſſius a quo incipit mouea­
                    <lb/>
                  tur mouendo verſus extremnm intenſius continuo
                    <lb/>
                  remittit motum ſuum dūmodo nullum punctuꝫ ita
                    <lb/>
                  velociter moueatur ſicut poña ſufficit moueri cū il-
                    <lb/>
                  lo imo tardius </s>
                  <s xml:id="N1C54D" xml:space="preserve">Correlarium hoc facile patet intel-
                    <lb/>
                  ligenti ea que dicta ſunt. </s>
                  <s xml:id="N1C552" xml:space="preserve">¶ Cir materiam huiꝰ ar-
                    <lb/>
                  gumenti poſſent multc alie concluſiones induci po­
                    <lb/>
                  nendo  extremū intenſius quieſcat et verſus illud
                    <lb/>
                  continuo alia puncta condenſentur:  aliquando
                    <lb/>
                  condenſentur: et aliquando rarefiant: et quando
                    <lb/>
                  vniformiter: quando tardius et tardius qñ ve-
                    <lb/>
                  locius et velocius. </s>
                  <s xml:id="N1C561" xml:space="preserve">Sed q2 ex dictis facile tales con­
                    <lb/>
                  cluſiones poſſent induci ideo ſuperſedeo.</s>
                </p>
                <cb chead="Capitulum quindecimum"/>
                <p xml:id="N1C578">
                  <s xml:id="N1C579" xml:space="preserve">Tertio contra primam concluſionem
                    <lb/>
                  quartidecimi capitis arguitur ſic argumento cal-
                    <lb/>
                  culatorio. </s>
                  <s xml:id="N1C580" xml:space="preserve">Quia aliquando in caſu illius concluſio­
                    <lb/>
                  nis poña non mouetur vniformiter / igitur concluſio
                    <lb/>
                  falſa. </s>
                  <s xml:id="N1C587" xml:space="preserve">Probatur antecedens / et pono /  poña vt .8. q̄
                    <lb/>
                  ſit a. incipiat moueri cuꝫ latitudine reſiſtentie vni­
                    <lb/>
                  formiter defformis a non gradu vſ ad octauū / vt
                    <lb/>
                  ponitur in caſu illius cõcluſionis: et ſit mediū ī quo
                    <lb/>
                  adequate illa latitudo extenditur a non quanto b. /
                    <lb/>
                  et ſint infinita media equalia ipſi b. / et per primã me­
                    <lb/>
                  dietatem primi adequate ſit extenſa illa latitudo q̄
                    <lb/>
                  extenditur a non quanto in b. / et in ſecundo medio il­
                    <lb/>
                  lorum ſit extenſa eadem latitudo in duplo minori
                    <lb/>
                  parte adequate / et in tertio in quadruplo minori / et
                    <lb/>
                  in quarto in octuplo minori / et ſic conſequenter / et in
                    <lb/>
                  inſtanti in quo incipit poña vt 8. moueri ī b. medio
                    <lb/>
                  cum latitudine progrediente a non quanto in quo-
                    <lb/>
                  libet aliorum mediorum incipiat moueri poña eq̄-
                    <lb/>
                  lis ipſi potentie vt: 8. ipſa latitudine in quolibet il­
                    <lb/>
                  lorum mediorū continuo acquirendo equalem quã­
                    <lb/>
                  titatem quantitati quam acquirit eadem latitudo
                    <lb/>
                  in b. / ita  quilibet punctus in quolibet illorum me­
                    <lb/>
                  diorum moueatur equaliter in vno ſicut in altero et
                    <lb/>
                  ſicut in b. </s>
                  <s xml:id="N1C5B0" xml:space="preserve">Quo poſito arguitur ſic / īmediate pꝰ hoc
                    <lb/>
                  demonſtrato inſtanti īitiatiuo motus in infinitum
                    <lb/>
                  tarde in equali tempore mouebit̄̄ aliquod illorum
                    <lb/>
                  mobiliū et tardius a. poña in b. medio quã aliquod
                    <lb/>
                  illorū: ergo in infinitū tarde incipit a. moueri: et per
                    <lb/>
                  conſequens nõ vniformiter: et ſic cõcluſio falſa. </s>
                  <s xml:id="N1C5BD" xml:space="preserve">Cõ­
                    <lb/>
                  ſequentia patet / et probat̄̄ maior / q2 īmediate pꝰ hoc
                    <lb/>
                  inſtans in equali tempore infinite modicum ſpaciū
                    <lb/>
                  pertranſibit aliquod iſtorum mobilium. </s>
                  <s xml:id="N1C5C6" xml:space="preserve">ergo īme-
                    <lb/>
                  diate poſt hoc inſtãs in equali tempore in infinitum
                    <lb/>
                  tarde meubit̄̄ aliquod illorū mobiliū in aliquo il­
                    <lb/>
                  lorū mediorū. </s>
                  <s xml:id="N1C5CF" xml:space="preserve">Conſequentia eſt nota, et antecedens
                    <lb/>
                  probatur / q2 īmediate poſt hoc inſtans in equali tē­
                    <lb/>
                  pore in infinitū modicū ē aliquod illorū medioruꝫ:
                    <lb/>
                  et nullum illorum poña ſufficit pertranſire cum ha­
                    <lb/>
                  beat ad extremum eius ꝓportionem equalitates:
                    <lb/>
                  ergo īmediate poſt hoc inſtans initiatiuū in equali
                    <lb/>
                  tempore in infinitum modicū ſpacium pertranſibit
                    <lb/>
                  aliquod illorum infinitorū mobilium. </s>
                  <s xml:id="N1C5E0" xml:space="preserve">Conſequen-
                    <lb/>
                  tia patet / q2 ſi in infinite modico ſpacio mouetur ali­
                    <lb/>
                  quod illorum: in infinitum modicum ſpacium per-
                    <lb/>
                  tranſit. </s>
                  <s xml:id="N1C5E9" xml:space="preserve">Sed minor videlicet /  a. tardius mouetur
                    <lb/>
                  quã aliqḋ illorū infinitoꝝ mobiliū </s>
                  <s xml:id="N1C5EE" xml:space="preserve">Probatur / quia
                    <lb/>
                  a. continuo eſt in minus extenſa reſiſtentia equali ī­
                    <lb/>
                  tenſiue reſiſtentie in qua mouetur quodlibet alterū /
                    <lb/>
                  igitur continuo tardius mouetur </s>
                  <s xml:id="N1C5F7" xml:space="preserve">Patet conſeqnē­
                    <lb/>
                  tia ex ſecundo correlario ſexte concluſionis prece-
                    <lb/>
                  dentis capitis. </s>
                  <s xml:id="N1C5FE" xml:space="preserve">¶ Et confirmatur etiam / q2 ſi a. equa­
                    <lb/>
                  liter vel velociꝰ continuo mouet̄̄ ipſū eſſet ↄ̨tinuo in­
                    <lb/>
                  equali vel mininori teſiſtentia: ſed quelibet equalis
                    <lb/>
                  vel minor reſiſtentia in latitudine in qua mouetur
                    <lb/>
                  a. minus diſtat a puncto initiatiuo motus quã con­
                    <lb/>
                  ſimilis diſtet in aliquo aliorum mediorum in quoꝝ
                    <lb/>
                  quolibet eſt magis extenſa ipſa latitudo: igitur ſi
                    <lb/>
                  continuo a. eſt in minori reſiſtentia vel inequali ip̄a
                    <lb/>
                  poña a. continuo eſt propinquior puncto initiati-
                    <lb/>
                  uo motus / et per conſequens tardius continuo mo-
                    <lb/>
                  uetur </s>
                  <s xml:id="N1C615" xml:space="preserve">Et ſic ſi mouet̄̄ equaliter vel velocius ſeq̇tur / 
                    <lb/>
                  continuo tardius mouetur.</s>
                </p>
                <p xml:id="N1C61A">
                  <s xml:id="N1C61B" xml:space="preserve">Reſpondeo negando antecedens /  ad
                    <lb/>
                  probationem admiſſo caſu concedendo minorē / q2
                    <lb/>
                  argumentum bene probat eam concedendam / et ne­
                    <lb/>
                  go maiorem / et ad probarionem nego /  immediate
                    <lb/>
                  poſt hoc demonſtrato inſtanti initiatiuo motus in
                    <lb/>
                  infinitum tarde moueatnr aliquod illorum / et ad ꝓ- </s>
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