Alvarus, Thomas, Liber de triplici motu, 1509

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                  intēditur / et per conſequens motus non remittitur:
                    <lb/>
                  patet cõſequētia ex tertio correlario quarte cõclu-
                    <lb/>
                  ſionis octaui capitis ſecūde partis: antecedēs pro­
                    <lb/>
                  batur / q2 in aliquo tēpore īmediate ſequēte illud in­
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                  ſtans in quo a. habet ꝓportionē f. ad ſuã reſiſten-
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                  tiã, potētia velociꝰ creſcit ꝙ̄ antea quãdo intende-
                    <lb/>
                  bat motū in aliquo tēpore equali īmediate ſequē-
                    <lb/>
                  te inſtans in quo habuit f. ꝓportionē: et reſiſtentia
                    <lb/>
                  tardiꝰ ſibi creſcit ꝙ̄ antea in tanto tēpore poſcã ha­
                    <lb/>
                  buit f. ꝓportionē. </s>
                  <s xml:id="N19CAF" xml:space="preserve">Sed antea quãdo intēdebat mo-
                    <lb/>
                  tū in equali tēpore īmediate ſequēte inſtãs in quo
                    <lb/>
                  a. habuit f. proportionē inter acquiſitū potentie et ac-
                    <lb/>
                  quiſitū reſiſtentie erat maior ꝓportio ꝙ̄ f. / ergo in
                    <lb/>
                  tanto tēpore īmediate ſequēte illud inſtans in tem­
                    <lb/>
                  pore remiſſionis in quo inſtanti a. habet ꝓportio-
                    <lb/>
                  nē f. ad ſuã reſiſtentiã inter acquiſitū potentie et ac-
                    <lb/>
                  quiſitū reſiſtentie erit maior ꝓportio ꝙ̄ f. / ptꝫ con-
                    <lb/>
                  ſequētia per locū a maiori. </s>
                  <s xml:id="N19CC2" xml:space="preserve">Probatur tertia pars
                    <lb/>
                  minoris videlicet /  nõ aliquãdo remittit et aliquã­
                    <lb/>
                  do poſtea intēdit: q2 ſi ſic detur inſtãs in quo poſcã
                    <lb/>
                  remiſit incipit intēdere. </s>
                  <s xml:id="N19CCB" xml:space="preserve">Et arguo ſic / vel ſemꝑ ante
                    <lb/>
                  illud inſtans remitebãt vel aliquãdo intendebat et
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                  poſtea remittebat. </s>
                  <s xml:id="N19CD2" xml:space="preserve">Sed nõ primum vt dicit prima
                    <lb/>
                  pars minoris: nec ſcḋm vt dicit ſecūda pars mino­
                    <lb/>
                  ris: ergo nõ aliquando remittit, et poſtea intendit /
                    <lb/>
                  quod fuit inferendū: ptꝫ cõſequētia: et maior ꝓba-
                    <lb/>
                  tur / q2 nõ vniformiter mouebitur / vt ptꝫ ex prima cõ­
                    <lb/>
                  cluſione huiꝰ. </s>
                  <s xml:id="N19CDF" xml:space="preserve">Et ſic ꝓbabis aliã partē cõcluſionis
                    <lb/>
                  paucis mutatis: ptꝫ igitur concluſio.</s>
                </p>
                <p xml:id="N19CE4">
                  <s xml:id="N19CE5" xml:space="preserve">Quinta cõcluſio. </s>
                  <s xml:id="N19CE8" xml:space="preserve">Si ab aliquo pūcto
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                  medii vniformiter difformis incipiat aliqua poña
                    <lb/>
                  per ſue potētie cõtinuū vniforme crementū cõtinuo
                    <lb/>
                  vniformiter moueri, et potētia equalis ei cõſimili-
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                  ter oīno creſcēs incipiat a pūcto remiſſiori moueri
                    <lb/>
                  in eodē medio: talis potētia cõtinuo remittit motū
                    <lb/>
                  ſuū. </s>
                  <s xml:id="N19CF7" xml:space="preserve">Et ſi eadē potentia inciperet moueri a puncto
                    <lb/>
                  inteſiori illiꝰ medii: ipſa cõtinuo intenderet motum
                    <lb/>
                  ſuū. </s>
                  <s xml:id="N19CFE" xml:space="preserve">Probatur prima pars cõcluſionis / ſit a. potē-
                    <lb/>
                  tia que vniformiter cõtinuo mouetur c. mediū vni-
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                  formiter difforme ad nõ gradū terminatū trãſeū-
                    <lb/>
                  do per ſue potentie vniforme cõtinuū crementū, in
                    <lb/>
                  puncto intrinſeco eiuſdē c. medii exiſtens: ſit b. po­
                    <lb/>
                  tentia ei equalis in pūcto remiſſiori eiuſdē c. medii
                    <lb/>
                  exiſtens oīno cõſimiliter creſcens cū a. et moueãtur
                    <lb/>
                  a. et b. ab illis pūctis verſus extremum intenſius c.
                    <lb/>
                  medii: tūc dico /  b. cõtinuo remittit motum ſuum.
                    <lb/>
                  </s>
                  <s xml:id="N19D12" xml:space="preserve">Quod ſic ꝓbatur / q2 ꝓportio ipſiꝰ b. ad ſuã reſiſtē-
                    <lb/>
                  tiã cõtinuo diminuit̄̄: ergo b. ↄ̨tinuo remittit motū
                    <lb/>
                  ſuū. </s>
                  <s xml:id="N19D19" xml:space="preserve">Cõſequentia ptꝫ: et ãtecedēs ꝓbatur / q2 cõtinuo
                    <lb/>
                  reſiſtentia ipſiꝰ b. maiorē ꝓportionē acquirit quã
                    <lb/>
                  ipſa b. potētia: igitur cõtinuo ꝓportio ipſius b. ad
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                  ſuã reſiſtentiã diminuitur. </s>
                  <s xml:id="N19D22" xml:space="preserve">Patet conſequentia ex
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                  ſecūda parte primi correlarii tertie ↄ̨cluſiõis octa­
                    <lb/>
                  ui capitis ſecūde partis: hoc addito /  b. potentia
                    <lb/>
                  eſt terminus maior et ſua reſiſtentia terminꝰ minor
                    <lb/>
                  </s>
                  <s xml:id="N19D2C" xml:space="preserve">Antecedens ꝓbatur / q2 cõtinuo reſiſtentia ipſiꝰ b.
                    <lb/>
                  maiorē ꝓportionē acquirit quã reſiſtentia ipſiꝰ a.
                    <lb/>
                  et cõtinuo reſiſtentia ipſius a. et ipſa b. potētia ac-
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                  quirunt equalē ꝓportionē: igitur cõtinuo reſiſten-
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                  tia ipſius b. maiorē proportionē acquirit ꝙ̄ ipſa b.
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                  potentia / quod fuit ꝓbandū. </s>
                  <s xml:id="N19D39" xml:space="preserve">Patet cõſequētia per
                    <lb/>
                  hoc /  illud quod aliquo eſt maius: eſt quolibet illi
                    <lb/>
                  equali maius. </s>
                  <s xml:id="N19D40" xml:space="preserve">Et maior ꝓbatur / q2 cõtinuo b. potē-
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                  tia velocius et per minorē reſiſtentiã mouetur ꝙ̄ a.
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                  potētia: igitur cõtinuo reſiſtētia ipſius b. potentie
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                  maiorē ꝓportionē acquirit ꝙ̄ reſiſtentia ipſius a.
                    <lb/>
                  </s>
                  <s xml:id="N19D4A" xml:space="preserve">Cõſequentia patet ex octaua ſuppoſitione quarti
                    <lb/>
                  capitis ſecūde partis iuuamine loci a fortiori. </s>
                  <s xml:id="N19D4F" xml:space="preserve">Et
                    <cb chead="Capitulū decimū."/>
                  antecedens ptꝫ / q2 b. potentia cõtinuo equalis ipſi
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                  a. mouetur continuo per reſiſtentiã nõ gradui c. me­
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                  dii pinquiorē ꝙ̄ a. potentia / vt ptꝫ ex caſu: igitur
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                  cõtinuo b. potentia velocius et per minorē reſiſten-
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                  tiã mouetur ꝙ̄ a. potentia / quod fuit ꝓbandū. </s>
                  <s xml:id="N19D5D" xml:space="preserve">Sed
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                  iam ꝓbo minorē videlicet /  cõtinuo reſiſtentia ip-
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                  ſius a. et ipſa b. potentia acquirūt equalē ꝓportio-
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                  nem: q2 cõtinuo reſiſtentia ipſius a. et ipſa a. poten­
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                  tia eqnalē ꝓpottionē acquirūt / vt ptꝫ ex ſecūda par­
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                  te primi correlarii quarte concluſionis octaui ca-
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                  pitis preallegati (cū a. potētia cõtinuo moueatur
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                  ab eadem ꝓportione ipſa a. poteutia et ſua reſiſtē­
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                  tia continuo creſcentibus) et ipſa a. potētia et ipſa
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                  b. potentia continuo ſimiliter equalē ꝓportionem
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                  acquirunt / vt ptꝫ ex caſu: igitur continuo reſiſtentia
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                  ipſius a. et ipſa b. potentia acquirunt equalē ꝓpor­
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                  tionē / quod fnit ꝓbandū. </s>
                  <s xml:id="N19D78" xml:space="preserve">Patet conſequentia per
                    <lb/>
                  hoc /  illud quod eſt vni equale: eſt cuilibet illi eq̈li
                    <lb/>
                  equale. </s>
                  <s xml:id="N19D7F" xml:space="preserve">Et ſic ptꝫ prima pars. </s>
                  <s xml:id="N19D82" xml:space="preserve">Iam ꝓbatur ſecun-
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                  da pars cõcluſionis. </s>
                  <s xml:id="N19D87" xml:space="preserve">Sit a. potentia que mouetur
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                  continuo vniformiter .etc̈. vt ſupra ſit b. potentia
                    <lb/>
                  ei equalis cõſimiliter oīno creſcens ſicut a. poſita
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                  in puncto intenſiori c. medii: et moueãtur ſimul ab
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                  illis punctis verſus extremū intenſius c. medii: tūc
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                  dico /  b. potentia continuo intendit motum ſuum
                    <lb/>
                  </s>
                  <s xml:id="N19D95" xml:space="preserve">Quod ſic ꝓbatur / q2 cõtinuo ꝓportio ipſius b. ad
                    <lb/>
                  ſuã reſiſtentiã augetur: igitur continuo b. potentia
                    <lb/>
                  intēdit mutū ſuū. </s>
                  <s xml:id="N19D9C" xml:space="preserve">Antecedēs ꝓbatur / q2 cõtinuo b.
                    <lb/>
                  poña maiorē ꝓportionē acq̇rit ꝙ̄ ſua reſiſtētia: igr̄
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                  cõtinuo ꝓportio ipſius b. ad ſuã reſiſtentiã auget̄̄.
                    <lb/>
                  </s>
                  <s xml:id="N19DA4" xml:space="preserve">Patet cõſequentia ex primo correlario ſecūde cõ-
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                  cluſionis octaui capitis: hoc addito /  b. potentia
                    <lb/>
                  ſe habet vt terminus maior et ſua reſiſtentia vt ter­
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                  minus minor. </s>
                  <s xml:id="N19DAD" xml:space="preserve">Sed antecedens ꝓbatur / q2 continuo
                    <lb/>
                  reſiſtētia ipſius a. maiorē ꝓportionē acquirit quã
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                  reſiſtentia ipſius b. et continuo reſiſtentia ipſius a.
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                  et ipſa b. potentia equalē ꝓportionē acquirūt: igit̄̄
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                  continuo b. potentia maiorē ꝓportionē acquirit ̄
                    <lb/>
                  reſiſtentia eiuſdē b. / quod fuit probandū. </s>
                  <s xml:id="N19DBA" xml:space="preserve">Conſequen­
                    <lb/>
                  tia patet per hoc /  ſi aliquid eſt alio maius quod-
                    <lb/>
                  libet equale illi eſt maius eodem. </s>
                  <s xml:id="N19DC1" xml:space="preserve">Et maior ꝓbatur /
                    <lb/>
                  q2 continuo a. potentia velocius et per minorē reſi­
                    <lb/>
                  ſtentiã mouetur ꝙ̄ ipſa b. potentia / vt patet ex caſu /
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                  igitur continuo reſiſtentia ipſius a. maiorē ꝓpor-
                    <lb/>
                  tionē acquirit ꝙ̄ reſiſtentia ipſius b. </s>
                  <s xml:id="N19DCC" xml:space="preserve">Cõſequentia
                    <lb/>
                  patet ex octaua ſuppoſitione quarti capitis ſecū-
                    <lb/>
                  de partis iuncto loco a fortiori: hoc addito /  tam
                    <lb/>
                  a. quã b. equales partes illius medii tranſeūdo .etc̈
                    <lb/>
                  equalē reſiſtentiã acquirūt / vt ptꝫ ex primo correla­
                    <lb/>
                  rio ſuppoſitionis. </s>
                  <s xml:id="N19DD9" xml:space="preserve">Sed iam ꝓbo minorē videlicet /
                    <lb/>
                   continuo reſiſteutia ipſius a. et ipſa b. potentia
                    <lb/>
                  equalē ꝓportionē acquirunt: quia continuo reſiſtē­
                    <lb/>
                  tia ipſius a. et ipſa a. potentia equalē ꝓportioneꝫ
                    <lb/>
                  acquirunt / vt ſupra argumentū eſt: et ipſa a. poten-
                    <lb/>
                  tia et b. potentia continuo itidē equalē ꝓpornalem
                    <lb/>
                  acquirūt / vt ptꝫ: igttur continuo reſiſtentia ipſius
                    <lb/>
                  a. et ipſa b. potentia equalē ꝓportionē acqtirūt / qḋ
                    <lb/>
                  fuit ꝓbandum. </s>
                  <s xml:id="N19DEC" xml:space="preserve">Et ſic ptꝫ ſecūda pars et ex hoc tota
                    <lb/>
                  cõcluſio.
                    <note position="right" xlink:href="note-0101-01a" xlink:label="note-0101-01" xml:id="N19E24" xml:space="preserve">1. correĺ.
                      <lb/>
                    5. conclu­
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                    ſio calcu­
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                    latoris.</note>
                  </s>
                  <s xml:id="N19DF6" xml:space="preserve">¶ Ex quo ſequitur primo /  ſi a. potentia
                    <lb/>
                  cõtinuo mouetur vniformiter per ſui continuum et
                    <lb/>
                  vniforme crementum tranſeundo c. mediū infinitū
                    <lb/>
                  vniformiter difforme vel ſaltē cuius quilibet pars
                    <lb/>
                  finita ſit vniformiter difformis b. potentia ei equa­
                    <lb/>
                  lis poneretur in puncto remiſſiori eiuſdem medii
                    <lb/>
                  ̄ ſit punctus in quo pro tunc eſt a. potentia: ipſa b
                    <lb/>
                  potentia eſto /  continuo per infinitū tempus velo­
                    <lb/>
                  cius moueatur uun̄ a. potentiã attinget: ceteris
                    <lb/>
                  iuuamentis et impedimentis deductis. </s>
                  <s xml:id="N19E0B" xml:space="preserve">Patet cor-
                    <lb/>
                  relarium / quia alias eadem potentia vel equalis </s>
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