Alvarus, Thomas, Liber de triplici motu, 1509

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              <div xml:id="N1AF91" level="4" n="13" type="chapter" type-free="capitulum">
                <p xml:id="N1B0E2">
                  <s xml:id="N1B0E3" xml:space="preserve">
                    <pb chead="De motu quo ad cauſã in medio non reſiſtente." file="0114" n="114"/>
                  habet ad duo diuerſa puncta illius reſiſtentie cum
                    <lb/>
                  ſit vniformiter difformis ex caſu / ergo ſeq̇tur /  nū-
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                  ̄ eſt cum diuerſis punctis in illo tēpore in quo mo­
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                  uetur vniformiter. </s>
                  <s xml:id="N1B0F7" xml:space="preserve">Patet conſequentia /  ſi in eo tē­
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                  pore eſſet cum diuerſis punctis iam diuerſas ꝓpor­
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                  tiones haberet maiorem videlicet cum vno quaꝫ cū
                    <lb/>
                  altero / vt patet / quia eiuſdem ad minus maior eſt ꝓ-
                    <lb/>
                  portio ꝙ̄ ad maius. </s>
                  <s xml:id="N1B102" xml:space="preserve">Patet igitur concluſio.</s>
                </p>
                <note position="left" xml:id="N1B105" xml:space="preserve">1. correl.</note>
                <p xml:id="N1B109">
                  <s xml:id="N1B10A" xml:space="preserve">¶ Ex quo ſequitur /  vbi in tali reſiſtentia ſic ꝓgre­
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                  diente / vt dictum eſt / aliquod mobile non variatum
                    <lb/>
                  aliquando mouetur vniformiter: ipſum poſt hoc cõ­
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                  tinuo mouetur vniformiter. </s>
                  <s xml:id="N1B113" xml:space="preserve">Probatur / quia ſi tale
                    <lb/>
                  mobile aliquãdo mouetur vniformiter / ſequitur / 
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                  ipſum in eo tempore cõtinuo eſt in eodem puncto / vt
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                  patet ex concluſione: et ſi in eo tempore continuo eſt
                    <lb/>
                  in eodem puncto / ſequitur /  illud mobile non ſuffi-
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                  cit cum illo puncto mouere velocius  punctus ille
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                  mouet̄̄ et cõtinuo illud mobile habebit eandem pro­
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                  portionem ad illum punctum (quia non variabitur /
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                  vt pono) / et continuo punctus ille mouetur vniformi­
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                  ter et eque velociter ex caſu: igitur ſequitur /  pūctꝰ
                    <lb/>
                  ille nū̄ precedet mobile: nec vn̄ mobile precedet
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                  punctum: et mouebitur: igitur continuo mouetur cū
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                  illo puncto eque velociter et vniformiter / quod fuit
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                  probandum: </s>
                  <s xml:id="N1B130" xml:space="preserve">Patet igitur correlarium.</s>
                </p>
                <note position="left" xml:id="N1B133" xml:space="preserve">2. correl.</note>
                <p xml:id="N1B137">
                  <s xml:id="N1B138" xml:space="preserve">¶ Sequitur ſecundo /  vbi in medio non reſiſtente ē
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                  progreſſio ſine exrenſio latitudinis reſiſtentie vni-
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                  formiter difformis altero extremoꝝ quieſcente quo­
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                  libet puucto continuo mouente difformiter potētia
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                  ꝓgrediens cum tali reſiſtētia nū̄ continuo vnifor­
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                  miter mouetur. </s>
                  <s xml:id="N1B145" xml:space="preserve">Probatur / quia ſi per aliquod tem­
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                  pus continuo vniformiter moueretur: per illud tem­
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                  pus continuo eſſet cum eodem puncto: et ſi ſit conti-
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                  nuo per aliquod tempus cum eodem puncto cuꝫ qui­
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                  libet punctus difformiter mouetur: ſequitur /  ipſa
                    <lb/>
                  potentia difformiter mouetur. </s>
                  <s xml:id="N1B152" xml:space="preserve">Patet igitur corre­
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                  larium.</s>
                </p>
                <p xml:id="N1B157">
                  <s xml:id="N1B158" xml:space="preserve">Secunda concluſio </s>
                  <s xml:id="N1B15B" xml:space="preserve">Ubi in medio nõ
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                  reſiſtente fit progreſſio latitudinis vniformiter dif­
                    <lb/>
                  formis vtrim ad gradum terminate quieſcēte ex­
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                  tremo intenſiori. </s>
                  <s xml:id="N1B164" xml:space="preserve">et remiſſiori velocius mouente ̄
                    <lb/>
                  potentia ſufficit mouere cuꝫ illo et quolibet eius pū­
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                  cto intrīſeco vniformiter mouente: potentia illa ſi-
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                  mul et ab eodem puncto incipiens moueri cum tali
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                  reſiſtentia non valet diuerſi mode moueri: hoc ē ali­
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                  quando intendendo, et aliquando remittendo, vel
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                  aliquando intendendo: et aliquando vniformiter
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                  mouendo: vel aliquando remittendo, et aliquando
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                  vniformiter mouendo. </s>
                  <s xml:id="N1B177" xml:space="preserve">Probatur / quia talis potē-
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                  tia non poteſt aliquando intendere: motum ſuum et
                    <lb/>
                  aliquando remittere: nec aliquando intendere mo­
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                  tum ſuum et aliquando vniformiter mouere: nec ali­
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                  quando remittere motum ſuum: et aliquando vni-
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                  formiter mouere: igitur concluſio vera. </s>
                  <s xml:id="N1B184" xml:space="preserve">Antecedens
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                  probatur / quia talis poña non poteſt aliquãdo vni­
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                  formiter moueri et immediate poſt hoc intēdere aut
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                  remittere motum ſuum: nec poteſt aliquando inten­
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                  dere motum ſuum: et immediate poſt hoc remittere:
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                  nec poteſt aliquando remittere: et immediate poſt
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                  hoc intendere: nec aliquando intendere: et immedia­
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                  te poſt hoc vniforlter moueri: nec aliquando re-
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                  mittere: et immediate poſt hoc vniformiter moueri:
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                  igitur talis poña non poteſt aliquando intendere
                    <lb/>
                  motum ſuum: et aliquando remittere: nec aliquan-
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                  do intendere motum ſuum, et aliquando vniformi-
                    <lb/>
                  ter moueri: nec aliquando remittere motum ſuum,
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                  et aliquando vniformiter moueri: quod fuit probã­
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                  dum. </s>
                  <s xml:id="N1B1A3" xml:space="preserve">Conſequentia eſt manifeſta: et maior patet ex
                    <lb/>
                  correlario precedentis concluſionis, et prima pars
                    <cb chead="De motu quo ad cauſã in medio non reſiſtente."/>
                  minoris probatur videlicet /  talis poña non po-
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                  teſt aliquando intendere motum ſuum et immedia-
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                  te poſt hoc remittere: quia ſi ſic detur inſtans ī quo
                    <lb/>
                  incipit remittere ante quod inſtans immediate in-
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                  tendebat motum ſuum in quo inſtanti talis poten­
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                  tia ſit in puncto a. a quo incipit remittere motū ſu­
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                  um per te continuo cum intenſiori pūcto mouendo
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                  ̄ ſit a. / et capio vnam partem illius reſiſtentie termi­
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                  natam ad punctum a. per quam mouendo ipſa po-
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                  tentia continuo intendit motum ſuum: et manifeſtū
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                  eſt /  ipſa potentia ſic intendens motum ſuum cõti­
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                  nuo per illam partem velocius mouetur cum quoli­
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                  bet puncto illius reſiſtentie quam ille punctus mo-
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                  uetur: </s>
                  <s xml:id="N1B1C5" xml:space="preserve">Alias enim non continuo intenderet per illã
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                  partem mouendo: </s>
                  <s xml:id="N1B1CA" xml:space="preserve">Et ex alia parte per te ipſa poña
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                  cõtinuo remittit motum ſuum per illam reſiſtentiã
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                  vel aliquam eius partem mouendo: igit̄̄ ipſa poña
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                  non continuo per illam partem velocius mouetur
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                  cum quolibet puncto illius reſiſtentie quam ille pū­
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                  ctus mouetur: </s>
                  <s xml:id="N1B1D7" xml:space="preserve">Et ſic ſequitur contradictio </s>
                  <s xml:id="N1B1DA" xml:space="preserve">(Quãdo­
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                  quidem omnia illa puncta vniformiter ↄ̨tinuo mo-
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                  uētur ex caſu concluſionis.) </s>
                  <s xml:id="N1B1E1" xml:space="preserve">Iam probo ſecūdam ꝑ­
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                  tem minoris videlicet /  illa poña non poteſt aliqñ
                    <lb/>
                  remittere motum ſuum, et immediate poſt hoc intē-
                    <lb/>
                  dere: quia ſi ſic: detur inſtans in quo incipit intēde-
                    <lb/>
                  re ante quod inſtans immediate remittebat motuꝫ
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                  ſuū in quo inſtanti talis poña ſit in puncto a. a quo
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                  incipit intendere motum ſuum per te continuo cum
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                  remiſſiori puncto mouēdo ꝙ̄ ſit a. / et capio vnam ꝑ-
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                  tem illius reſiſtentie terminatam ad a. punctum per
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                  quam mouendo continuo remittebat motum ſuum /
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                  et manifeſtum eſt /  ipſa ſic remittens motum ſuum
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                  cõtinuo per illam partem mouendo tardius moue­
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                  tur cum quolibet puncto illius partis quam ille pū­
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                  ctus mouetur. </s>
                  <s xml:id="N1B1FE" xml:space="preserve">Alias enim non continuo remitteret
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                  motum ſuum per illam partem mouēdo. </s>
                  <s xml:id="N1B203" xml:space="preserve">Et ex alia
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                  parte ipſa poña per te continuo intendit motuꝫ ſu­
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                  um per illam reſiſtentiam vel aliquam eius partem
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                  mouendo: igitur ipſa poña non cõtinuo per illam
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                  partem velocius mouetur cum quolibet puncto illi­
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                  us partis ꝙ̄ ille punctus mouetur. </s>
                  <s xml:id="N1B210" xml:space="preserve">Et ſic ſequitur cõ­
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                  tradictio: cum omnia illa puncta vniformiter con­
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                  tinuo mouētur ex caſu concluſionis. </s>
                  <s xml:id="N1B217" xml:space="preserve">Sed iam ꝓba-
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                  tur tertia pars minoris vcꝫ /  illa poña non poteſt
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                  aliquando intendere motum ſuum: et īmediate poſt
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                  hoc vniformiter moueri: quia ſi ſic detur inſtans in
                    <lb/>
                  quo incipit vniformiter moueri ante quod inſtans
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                  immediate intendebat motum ſuum. </s>
                  <s xml:id="N1B224" xml:space="preserve">in quo inſtan­
                    <lb/>
                  ti talis poña ſit in puncto a. a quo incipit vniformi­
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                  ter moueri per te: et ſequitur /  tunc incipit moueri
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                  cum a. velocius ꝙ̄ vn̄ antea mouebatur: et ita velo­
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                  citer ſicut a. mouetur per te, cum in a. incipiat vni-
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                  formiter moueri. </s>
                  <s xml:id="N1B231" xml:space="preserve">et ſic continuo eē in eodē puncto a.
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                  ex prima cõcluſione: igitur ipſa poña non eſt in pū­
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                  cto a. / quod eſt oppoſitum dati. </s>
                  <s xml:id="N1B238" xml:space="preserve">Patet conſequētia /
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                  quia a. punctus et ipſa poña inceperūt ab eodem in­
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                  ſtanti moueri ex caſu concluſionis: ergo ſi vſ ad ī­
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                  ſtans datum continuo poña mouetur tardius ꝙ̄ a.
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                  punctus / ſequitur /  ipſa poña in inſtãti dato nõ eſt
                    <lb/>
                  in puncto a. / quod eſt probandum. </s>
                  <s xml:id="N1B245" xml:space="preserve">Probatur tamē
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                  maior videlicet /  in inſtanti dato incipit illa poña
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                  cum a. velocius moueri ꝙ̄ vn̄ antea mouebatur q2
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                  per aliquod tempus per te cõtinuo illa poña ante-
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                  ̄ attingat a. eſt in maiori reſiſtentia quã ſit a. ſeq̄n­
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                  do ipſum a. / igitur ſemper antea ꝙ̄ attīgat a. / ſequi-
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                  tur ipſum a. cum nõ ſit poſſibile cum caſu cõcluſio-
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                  nis  aliquando precedat et aliquãdo ſequatur a.
                    <lb/>
                  punctum cum quo ſufficit mouere ita velociter ſicut
                    <lb/>
                  punctus a. mouetur / vt patet intuenti: quia alias ſe­ </s>
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