Alvarus, Thomas, Liber de triplici motu, 1509

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                <pb chead="De motu quo ad cauſã in medio non reſiſtente." file="0126" n="126"/>
                <p xml:id="N1C2E9">
                  <s xml:id="N1C2EA" xml:space="preserve">quod etiam probare intēdimus. </s>
                  <s xml:id="N1C2ED" xml:space="preserve">Iam probatur pri­
                    <lb/>
                  ma pars minoris: videlicet /  non per aliquod tem­
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                  pus mouetur eque velociter: quia ſi ſic capio inſtãs
                    <lb/>
                  initiatiuum talis temporis: in quo (vt oportet ꝑ te)
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                  a. et b. ſunt inequalibus reſiſtentiis: </s>
                  <s xml:id="N1C2F8" xml:space="preserve">Et arguo ſic / ꝑ
                    <lb/>
                  aliqḋ tempus poſt tale inſtans b. poña ↄ̨tinuo mo­
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                  uetur eque velociter ſicut a. per te: ergo cõtinuo ꝑ il­
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                  lud tempus b. poña eſt in puncto equaliter diſtante
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                  a pūcto in quo ipſa eſt in principio talis temporis
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                  ſicut a. potentia ab eque reſiſtēte puncto in ſuo ma­
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                  iori medio ſiue reſiſtentia magis extenſa: et quilib3
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                  punctus eq̈liter diſtans a pūcto ↄ̨ſimilis intēſiõis
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                  in minori medio et in maiori: ī mīori ſiue ī reſiſtētia
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                  minus extenſa eſt intenſior puncto ſibi correſꝑõdē­
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                  te in reſiſtentia magis extenſa / vt patet: ergo per il­
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                  lud tempus continuo b. eſt in maiori reſiſtentia: et ꝑ
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                  conſequens continuo mouetur tardius: et non eque­
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                  velociter / quod probare intendimus. </s>
                  <s xml:id="N1C315" xml:space="preserve">Pro-
                    <lb/>
                  batur ſecunda pars minoris: videlicet /  non per
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                  aliquod tempus mouetur velocius: et īmediate poſt
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                  etc. / quia ſi ſic ſignetur inſtans / in quo b. incipit mo-
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                  ueri per aliquod tempus velocius ante quod īmedi­
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                  ate continuo per aliquod tempus tardius moueba­
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                  tur. </s>
                  <s xml:id="N1C324" xml:space="preserve">Et ſequitur /  in tali inſtanti a. et b. habēt equa­
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                  les proportiones ad puncta in quibus ſunt quia ſi
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                  b. habeat maiorem ſequitur /  īmediate antea ha-
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                  bebat maiorem, et ſic non īmediate antea mouebat̄̄
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                  tardius ꝙ̄ a. / et ſi minorem ſequitur /  īmediate poſt
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                  illud inſtans datum mouetur tardius et ſic non tūc
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                  incipit velocius moueri ꝙ̄ a. </s>
                  <s xml:id="N1C333" xml:space="preserve">Tunc igitur ſic arguo /
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                  a. et b. in inſtanti dato ſunt ad puncta eque intenſa
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                  et b. incipit continuo velocius moueri recedendo a
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                  ſuo puncto ꝙ̄ a. / ergo b. incipit continuo magis di-
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                  ſtare ab illo puncto ꝙ̄ a. a conſimili: et per conſeq̄ns
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                  īcipit continuo eſſe in maiori reſiſtentia quã a. / et ex
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                  hoc ſeq̇tur incipit continuo tardius moueri et non
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                  velocius / quod eſt oppoſitum dati. </s>
                  <s xml:id="N1C344" xml:space="preserve">Sed probatur
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                  tertia pars minoris videlicet /  non per aliquod
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                  tempus b. potentia velocius mouetur et immediate
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                  poſt continuo per aliquod tempus tardius moue-
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                  tur: quia ſi ſic. </s>
                  <s xml:id="N1C34F" xml:space="preserve">Capio inſtans / in quo b. incipit mo-
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                  ueri tardius quã a. per aliquod tempꝰ īmediate an­
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                  te quod per aliquod tempus continuo velociꝰ mo-
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                  uebatur quã a. </s>
                  <s xml:id="N1C358" xml:space="preserve">Et arguo ſic / vel continuo ante illud
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                  inſtans b. mouetur velocius quã a. vel aliquando
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                  tardius et īmediate poſt velocius: </s>
                  <s xml:id="N1C35F" xml:space="preserve">Sed neutrū iſtoꝝ
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                  eſt dicendum: ergo non per aliquod tempus b. potē­
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                  tia velocius mouetur et īmediate poſt per aliquod
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                  tewpus continuo tardius mouetur. </s>
                  <s xml:id="N1C368" xml:space="preserve">Patet conſeq̄n­
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                  tia / quia b. nū̄ eque velociter mouetur ſicut a. ex ṗ-
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                  ma parte minoris </s>
                  <s xml:id="N1C36F" xml:space="preserve">Sed probatur minor / quia nõ ē
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                  dicendum primum / vt patet ex maiore: nec ſecunduꝫ /
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                  vt patet ex ſecunda parte minoris: ergo propoſitū
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                  </s>
                  <s xml:id="N1C377" xml:space="preserve">Et ſic patet tota minor et per conſequens correla-
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                  rium / quod fuit ꝓbandum.
                    <note position="left" xlink:href="note-0126-01a" xlink:label="note-0126-01" xml:id="N1C394" xml:space="preserve">3. correl.</note>
                  </s>
                  <s xml:id="N1C381" xml:space="preserve">¶ Sequitur tertio /  vbi­
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                  cun in latitudinibus ſic vniformiter difformibus
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                  equalibus intenſiue et inequalibus extenſiue / vt po-
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                  nitur in caſu precedentis correlarii alique potentie
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                  incipiunt moueri procedendo ab extremis remiſſio­
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                  ribus: poña que mouetur in reſiſtentia minus exten­
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                  ſa ſemper citius deueniet ad finem ſue reſiſtentie</s>
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                <p xml:id="N1C39A">
                  <s xml:id="N1C39B" xml:space="preserve">Hoc eſt citius pertranſibit totam ſuam reſiſtentiaꝫ
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                  quam altera pertranſeat ſuam reſiſtentiam magis
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                  extenſam ̄uis ipſa tardius continuo moueant̄̄ eã
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                  adequate pertranſeundo. </s>
                  <s xml:id="N1C3A4" xml:space="preserve">Probatur correlarium /
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                  qui potentia que mouetur cum reſiſtentia minꝰ ex­
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                  tenſa continuo mouetur tardius ex precedenti cor-
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                  relario. </s>
                  <s xml:id="N1C3AD" xml:space="preserve">igitur continuo eſt in intenſiori reſiſtentia:
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                  et continuo citius deueniet ad aliquem punctum re­
                    <cb chead="De motu quo ad cauſã in medio non reſiſtente."/>
                  ſiſtentie quam poña que mouetur in reſiſtentia ma­
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                  gis extenſa deueniat ad conſimile punctum. </s>
                  <s xml:id="N1C3B7" xml:space="preserve">Conſe­
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                  quentia patet ex probatione precedentis correlarii /
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                  et per conſequens citius deueniet ad punctum extre­
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                  mum reſiſtentie minus extenſe ꝙ̄ poña ei equalis de­
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                  ueniat ad idem punctum in reſiſtentia magis exten­
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                  ſa et ex hoc citius pertranſibit illam / quod fuit pro-
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                  bandum.
                    <note position="right" xlink:href="note-0126-02a" xlink:label="note-0126-02" xml:id="N1C4AE" xml:space="preserve">4. correl.</note>
                  </s>
                  <s xml:id="N1C3CB" xml:space="preserve">¶ Sequitur quarto /  datis duabus lati­
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                  tudinibus reſiſtentie vniformiter difformis equali­
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                  bus intenſiue: et inequalibus extenſiue: et captis dua­
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                  bus potentiis equalibus quarum vna incipit mo-
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                  ueri per minus extenſam: et altera per magis exten­
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                  ſam ab extremo intenſiori quieſcentibus continuo
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                  latitudinibus et potentiis non variatis: poña que
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                  mouetur cuꝫ reſiſtentia minus extenſa continuo ve­
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                  locius mouetur quã altera que mouetur cum reſiſtē­
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                  tia magis extenſa: </s>
                  <s xml:id="N1C3E0" xml:space="preserve">Hoc correlariuꝫ facile ex proba­
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                  tione precedentis demonſtratur: hoc premiſſo /  oī­
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                  um punctorum equaliter diſtantium in illis latitu-
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                  dinibus ab extremo intenſiori punctus in latitudi­
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                  ne minus extenſa minus reſiſtit ꝙ̄ punctus ſibi cor­
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                  reſpondens in latitudine magis extenſa </s>
                  <s xml:id="N1C3ED" xml:space="preserve">Quod pa­
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                  tet intuenti.
                    <note position="right" xlink:href="note-0126-03a" xlink:label="note-0126-03" xml:id="N1C4B4" xml:space="preserve">5. correl.</note>
                  </s>
                  <s xml:id="N1C3F7" xml:space="preserve">¶ Sequitur quinto /  latitudine reſiſtē­
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                  tie vniformiter difformi ſic ſe condenſante / vt po-
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                  nitur in caſu argumenti: quolibet eius puncto ītrin­
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                  ſeco continuo vniformiter mouente, quieſcente gra­
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                  du remiſſiori: et intenſiori tardius mouente quã po­
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                  tentia que incipit moueri cum illo mouetur cum eo­
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                  dem, potentia et omni pūcto verſus intenſius extre­
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                  mum quieſcens mouentibus: omnis talis poña que
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                  ſic mouetur continuo intendit motum ſuum. </s>
                  <s xml:id="N1C40A" xml:space="preserve">Pro-
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                  batur / quia talis poña continuo velocius mouetur
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                  quã punctus in quo pro tunc eſt: et continuo moue-
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                  tur verſus minorem reſiſtentiam: igitur propoſitū
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                  </s>
                  <s xml:id="N1C414" xml:space="preserve">Conſequentia patet cum minori ex caſu: et maior ꝓ­
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                  batur / quia talis potentia velocius mouetur quam
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                  punctus velociſſime motus / vt patet ex caſu: ergo ̄­
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                  quicun alter eiuſdem latitudinis </s>
                  <s xml:id="N1C41D" xml:space="preserve">Patet con-
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                  ſequentia / quia quilibet aliorum qui mouetur tar-
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                  dius mouetur: et ad ipſum habet potentia maioreꝫ
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                  proportionem / igitur etc.
                    <note position="right" xlink:href="note-0126-04a" xlink:label="note-0126-04" xml:id="N1C4BA" xml:space="preserve">6. correl.</note>
                  </s>
                  <s xml:id="N1C42B" xml:space="preserve">¶ Sequitur ſexto /  ſi q̇li­
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                  bet punctus intrinſecus talis reſiſtentie ↄ̨tinuo mo­
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                  ueretur verſus extremum remiſſius quieſcens: conti­
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                  nuo remittendo motum ſuum: potentia etiam con-
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                  tinuo intenderet motum ſuuꝫ: dūmodo incipiat po­
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                  tentia velocius moueri ꝙ̄ punctus qui velociſſime
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                  mouetur. </s>
                  <s xml:id="N1C43A" xml:space="preserve">Patet hoc correlarium ex precedenti iun­
                    <lb/>
                  cto loco a fortiori.
                    <note position="right" xlink:href="note-0126-05a" xlink:label="note-0126-05" xml:id="N1C4C0" xml:space="preserve">7. correl.</note>
                  </s>
                  <s xml:id="N1C444" xml:space="preserve">¶ Sequitur ſeptimo /  latitudi-
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                  ne reſiſtentie vniformiter difformis ſic ſe condenſã­
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                  te: vt poſitum eſt quolibet puncto eius intrinſeco cõ­
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                  tinuo ſucceſſiue intendente motum ſuum, et potētia
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                  velocius incipiat moueri a puncto velociſſime mo-
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                  to quã talis punctus incipit moueri: ipſis mouen-
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                  tibus verſus extremum remiſſius / non oportet / 
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                  talis potentia continuo intendat motum ſuum: nec
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                  oportet /  continuo remittat motū ſuum / nec opor­
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                  tet /  aliquando intendat et aliquando remittat: ſꝫ
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                  poteſt aliquando intendere, et aliquando remitte-
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                  rē: oportet tamen /  incipiat intendere. </s>
                  <s xml:id="N1C45D" xml:space="preserve">Probatur
                    <lb/>
                  quia caſu poſito /  ſit vna latitudo r̄ſiſtētie ab octa­
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                  uo vſ ad non gradum: et incipiat poña vt .12. mo-
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                  ueri cum illa ſe condenſante / vt poſitum eſt: quoli-
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                  bet puncto intrinſeco continuo intendente motum
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                  ſuum taliter  quando poña deuenerit ad punctuꝫ
                    <lb/>
                  vt ſex / tunc primo punctum vt ſex incipiat moueri a
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                  proportione dupla. / et iam ſequitur (cum ille pūctus
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                  continuo intendat motum ſum) /  poña non ſufficit
                    <lb/>
                  ipſum precedere: ſed ipſe precedet potentiam: et ſic
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                  poña manebit cum intenſiori reſiſtentia et remittit </s>
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