Alvarus, Thomas, Liber de triplici motu, 1509

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            <div xml:id="N15C22" level="3" n="1" type="other" type-free="tractatus">
              <div xml:id="N1AF91" level="4" n="13" type="chapter" type-free="capitulum">
                <p xml:id="N1B157">
                  <s xml:id="N1B245" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0115" n="115"/>
                  queretur cum ipſa poña non ſaltet a puncto ī pun­
                    <lb/>
                  ctum (vt ſemper ſuppono) /  aliquando fuit in pun­
                    <lb/>
                  cto a: et ſi ſic ſequitur /  ſemper mãſit ī pūcto a. qm̄
                    <lb/>
                  per te ita velociter ſufficit mouere cum puncto a. ſi-
                    <lb/>
                  cut punctus a. mouetur. </s>
                  <s xml:id="N1B267" xml:space="preserve">Et ex conſequenti ſequitur /
                    <lb/>
                   ſemper ante̄ attingat a. eſt in maiori reſiſten-
                    <lb/>
                  tia quã ſit a. / et ſic in inſtanti dato incipit illa poten­
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                  tia cum a. velocius moueri quã vn̄ antea moueba­
                    <lb/>
                  tur / quod fuit probandum. </s>
                  <s xml:id="N1B272" xml:space="preserve">Sed iam probo quartã
                    <lb/>
                  partem minoris videlicet /  illa poña nõ poteſt ali­
                    <lb/>
                  quando remittere motum ſuum, et immediate poſt
                    <lb/>
                  hoc vniformiter moueri: quia ſi ſic detur inſtans in
                    <lb/>
                  quo incipit vniformiter moueri ante quod inſtans
                    <lb/>
                  immediate remittebat motum ſuum in quo inſtan-
                    <lb/>
                  ti talis poña ſit in puncto a. a quo incipit vniformi­
                    <lb/>
                  ter moueri per te: et ſequitur /  tunc incipit moueri
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                  cum a. tardius quã vn̄ antea mouebatur, quoniã
                    <lb/>
                  ſemper antea preceſſit a. mouens cum remiſſiori re­
                    <lb/>
                  ſiſtentia / vt patet ex probatione precedentis partis
                    <lb/>
                  et incipit ita velociter moueri per te ſicut a. (cum ī a.
                    <lb/>
                  incipiat vniformiter moueri) et ſic continuo eſſe ī eo­
                    <lb/>
                  dem puncto a. ex prima concluſione / igitur ipſa po-
                    <lb/>
                  tentia in inſtanti dato non eſt in puncto a. / quod eſt
                    <lb/>
                  oppoſitum dati. </s>
                  <s xml:id="N1B293" xml:space="preserve">Patet conſequētia / quia ipſa po-
                    <lb/>
                  tentia et a. pūctus inceperūt in eodem inſtanti mo-
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                  ueri ex caſu cõcluſionis: ergo ſi vſ ad inſtans da-
                    <lb/>
                  tum illa poña mouetur velocius cõtinuo quã a. pun­
                    <lb/>
                  ctus ſequitur /  illa poña in inſtanti dato non eſt in
                    <lb/>
                  puncto a. / quod eſt probandum. </s>
                  <s xml:id="N1B2A0" xml:space="preserve">Et ſic patet quarta
                    <lb/>
                  pars minoris et per conſequens concluſio.</s>
                </p>
                <note position="left" xml:id="N1B2A5" xml:space="preserve">1. correl.</note>
                <p xml:id="N1B2A9">
                  <s xml:id="N1B2AA" xml:space="preserve">¶ Ex quo ſequirur /  vbi progreditur latitudo reſi-
                    <lb/>
                  ſtentie etc. / vt ponitur in cõcluſione: et potentia ſiue
                    <lb/>
                  mobile incipit ab eodem puncto in eodem inſtan-
                    <lb/>
                  ti moueri cum tali reſiſtentia: neceſſe eſt /  tale mo-
                    <lb/>
                  bile continuo vniformiter moueatur vel  cõtinuo
                    <lb/>
                  intendat motum ſuum: vel continuo remittat. </s>
                  <s xml:id="N1B2B7" xml:space="preserve">Pa-
                    <lb/>
                  tet hoc correlarium facile ex concluſione.</s>
                </p>
                <note position="left" xml:id="N1B2BC" xml:space="preserve">.2correl.</note>
                <p xml:id="N1B2C0">
                  <s xml:id="N1B2C1" xml:space="preserve">¶ Sequitur ſecundo /  vbi in medio nõ reſiſtente fit
                    <lb/>
                  progreſſio latitudinis difformis cuius nulla pars
                    <lb/>
                  eſt vniformis cuiuſ omnes partes immediate ſe-
                    <lb/>
                  cundum extenſionem ſunt immediate ſecundum in-
                    <lb/>
                  tenſionem: vtrim ad gradum terminate, quieſcē-
                    <lb/>
                  te extremo intenſiori: et remiſſiori velocius cõtinuo
                    <lb/>
                  mouente ꝙ̄ poña data ſufficit moueri cum illo, om­
                    <lb/>
                  ni puncto eius intrinſeco vniformiter continuo
                    <lb/>
                  mouente: talis poña incipiens ſimul moueri a pun­
                    <lb/>
                  cto a quo incipit talis latitudo progredi non valet
                    <lb/>
                  diuerſi mode moueri, puta aliquando intendendo
                    <lb/>
                  aliquando remittendo, vel aliquando intendendo
                    <lb/>
                  et aliquando vniformiter mouendo etc. </s>
                  <s xml:id="N1B2DC" xml:space="preserve">Hoc correla­
                    <lb/>
                  rium eadem qua concluſio demonſtratione oſten-
                    <lb/>
                  ditur.</s>
                </p>
                <p xml:id="N1B2E3">
                  <s xml:id="N1B2E4" xml:space="preserve">Tertia concluſio </s>
                  <s xml:id="N1B2E7" xml:space="preserve">Ubi in medio nõ re-
                    <lb/>
                  ſiſtente eſt progreſſio ſiue extēſio latitudinis reſiſtē­
                    <lb/>
                  tie vniformiter difformis in vtro extremo ad gra­
                    <lb/>
                  dum terminate, quolibet puncto intrinſeco conti-
                    <lb/>
                  nuo mouente vniformiter, quieſcente extremo īten­
                    <lb/>
                  ſiori: et remiſſiori velocius mouente quã mobile qḋ
                    <lb/>
                  in tali reſiſtentia mouetur ſufficit moueri cum illo:
                    <lb/>
                  tale mobile habens ꝓportionem maioris inequali­
                    <lb/>
                  tatis ad extremum intenſius. </s>
                  <s xml:id="N1B2FA" xml:space="preserve">incipiens ſimul ab eo­
                    <lb/>
                  dem puncto moueri cum tali reſiſtentia cõtinuo vni­
                    <lb/>
                  formiter mouetur. </s>
                  <s xml:id="N1B301" xml:space="preserve">Probatur / et ſit talis poña b. / et
                    <lb/>
                  arguo ſic / b. poña in caſu cõcluſionis vel cõtinuo in­
                    <lb/>
                  tendit motum ſuum, vel continuo remittit motū ſu­
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                  um, vel cõtinuo vniformiter mouetur: vt patet ex ſe­
                    <lb/>
                  unda concluſione et ſuo primo correlarioi: ſed b. po­
                    <lb/>
                  tentia nõ cõtinuo intendit motum ſuum: nec ↄ̨tinuo
                    <cb chead="Capitulum tridecimum"/>
                  remittit motum ſuum: igitur continuo vniformiter
                    <lb/>
                  mouetur: quod fuit probandum. </s>
                  <s xml:id="N1B313" xml:space="preserve">Conſequentia pa­
                    <lb/>
                  tet cum maiore: et prima pars minoris probatur vi­
                    <lb/>
                  delicet /  b. poña non cõtinuo intendit motum ſuuꝫ
                    <lb/>
                  quia ſi ſic detur ꝓportio a qua incipit moueri cõti-
                    <lb/>
                  nuo intendendo motum ſuum que ſit f. quam habet
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                  ad punctum a. illius reſiſtentie a quo īcipiendo mo­
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                  ueri continuo per te intendit motum ſuum: et ille pū­
                    <lb/>
                  ctus a. moueatur cõtinuo a .g. proportione minore
                    <lb/>
                  f. (vt oportet) </s>
                  <s xml:id="N1B326" xml:space="preserve">Non enim incipit b. poña moueri a. ꝓ­
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                  portione quam habet ad extremuꝫ quieſcens: quia
                    <lb/>
                  tunc per aliquod tempus infinita puncta precede-
                    <lb/>
                  rent b. poñam quorum quodlibet cõtinuo a minori
                    <lb/>
                  ꝓportione mouetur ꝙ̄ ſit proportio quam habet b.
                    <lb/>
                  poña ad extremum quieſcens / vt patet ex caſu cõclu­
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                  ſionis: quandoquidem ab infinite modica ꝓportio­
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                  ne aliquod punctum illius reſiſtentie moueatur / qḋ
                    <lb/>
                  tamen eſſe nequit: cum ab eodem puncto in eodē in­
                    <lb/>
                  ſtãti incipiat quodlibet illorum pūctorum moueri
                    <lb/>
                  cum illa poña b. </s>
                  <s xml:id="N1B33D" xml:space="preserve">Capio igitur / tunc c. punctum re-
                    <lb/>
                  miſſius ipſo a. puncto quod moueatur ab h. ꝓpor-
                    <lb/>
                  tione minore f. ꝓportione a qua mouet̄̄ poña b. ma­
                    <lb/>
                  iore tamen ꝓportione g. a qua mouetur a. punctum /
                    <lb/>
                  et arguo ſic / b. poña incipit intendere motum ſuum
                    <lb/>
                  incipiendo moueri ab a. puncto ſucceſſiue verſus c.
                    <lb/>
                  punctum et alia puncta remiſſiora: igitur per aliqḋ
                    <lb/>
                  tempus c. pūctum precedit ipſam b. poñam: ſed con­
                    <lb/>
                  ſequens eſt falſum: igitur illud ex quo ſequitur. </s>
                  <s xml:id="N1B350" xml:space="preserve">Cõ­
                    <lb/>
                  ſequentia patet / et falſitas conſequentis arguitur:
                    <lb/>
                  quia b. poña et c. punctum incipiunt in eodem inſtã-
                    <lb/>
                  ti ab eodem puncto verſus eãdem differētiam mo-
                    <lb/>
                  ueri etc. et ipſa poña b. continuo mouetur a maiori
                    <lb/>
                  ꝓportione quam punctum c. / igitur cõtinuo ipſa b.
                    <lb/>
                  poña precedit punctum c. / et per conſequens pūctum
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                  c. nū̄ precedit eam / quod eſt oppoſitum conſequē-
                    <lb/>
                  tis: </s>
                  <s xml:id="N1B363" xml:space="preserve">Et ſic patet prima pars minoris. </s>
                  <s xml:id="N1B366" xml:space="preserve">Sed ſecunda
                    <lb/>
                  ꝓbatur videlicet /  b. poña nõ cõtinuo remittit mo-
                    <lb/>
                  tum ſuum: quia ſi ſic detur proportio a qua incipit
                    <lb/>
                  moueri continuo remittendo motum ſuum que ſit f.
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                  quam habet ad punctum a. illius reſiſtentie a quo ī­
                    <lb/>
                  cipiendo moueri continuo per te remittit motum ſu­
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                  um: et illud punctum a. moueatur continuo a g. pro­
                    <lb/>
                  portione maiore f. / vt oportet </s>
                  <s xml:id="N1B377" xml:space="preserve">(Non enim incipit b.
                    <lb/>
                  potentia moueri a proportione quam habet ad ex­
                    <lb/>
                  tremum quieſcens / vt ſupra argutum eſt) </s>
                  <s xml:id="N1B37E" xml:space="preserve">Capio igi­
                    <lb/>
                  tur / tunc c. punctuꝫ ītenſius ipſo a. puncto quod mo­
                    <lb/>
                  ueatur ab h. proportione maiore f. a qua mouetur
                    <lb/>
                  poña b. minore tamen ꝓportione g. a qua mouetur
                    <lb/>
                  a. punctuꝫ: et arguo ſic / b. poña incipit remittere mo­
                    <lb/>
                  tum ſuum incipiendo moueri ab a. puncto ſucceſſi-
                    <lb/>
                  ue c. puncto et aliis punctis intenſioribus mouenti-
                    <lb/>
                  bus verſus poñam et eam ſequentibus: igitur ꝑ ali-
                    <lb/>
                  quod tempus b. poña precedit c. punctum. </s>
                  <s xml:id="N1B391" xml:space="preserve">ſed conſe­
                    <lb/>
                  quens eſt falſum: igitur illud ex quo ſequitur. </s>
                  <s xml:id="N1B396" xml:space="preserve">Cõſe-
                    <lb/>
                  quentia eſt nota, et falſitas conſequentis arguitur /
                    <lb/>
                  quia b. poña et c. punctum incipiunt in eodem inſtã-
                    <lb/>
                  ti ab eodem puncto etc. et ipſa poña b. cõtinuo moue­
                    <lb/>
                  tur a minori ꝓportione ꝙ̄ punctum c. / igitur cõtinuo
                    <lb/>
                  c. punctum precedit b. poñam: et ꝑ conſequens b. po­
                    <lb/>
                  tentia nun̄ precedit c. punctum / quod eſt oppoſitū
                    <lb/>
                  conſequentis. </s>
                  <s xml:id="N1B3A7" xml:space="preserve">Et ſic patet ſecunda pars minoris et
                    <lb/>
                  ex hoc tota concluſio.
                    <note position="right" xlink:href="note-0115-01a" xlink:label="note-0115-01" xml:id="N1B3D8" xml:space="preserve">correla.</note>
                  </s>
                  <s xml:id="N1B3B1" xml:space="preserve">¶ Ex quo ſequitur /  vbi ī me­
                    <lb/>
                  dio non reſiſtente eſt progreſſio ſiue extenſio latitu­
                    <lb/>
                  dis reſiſtentie difformis cuius nulla pars eſt vnifor­
                    <lb/>
                  mis: cuiuſ omnes partes īmediate ſecundum extē­
                    <lb/>
                  ſionem ſunt immediate ſecundum intenſionem vtrū­
                    <lb/>
                   ad gradum terminate: quolibet puncto eius ītrī­
                    <lb/>
                  ſeco mouente cõtinuo vniformiter quieſcente extre-
                    <lb/>
                  mo intenſiori: et remiſſiori velocius continuo mouē­ </s>
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