Alvarus, Thomas, Liber de triplici motu, 1509

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                  decreſcente: et motus ipſius b. potentie remittitur
                    <lb/>
                  ad non gradum: igitur etiam motus ipſius a. ī eo­
                    <lb/>
                  dem tempore remittitur ad non gradum. </s>
                  <s xml:id="N180B8" xml:space="preserve">Patet
                    <lb/>
                  conſequentia clare ex octauo correlario quarte cõ­
                    <lb/>
                  cluſionis octaui capitis ſecunde partis. </s>
                  <s xml:id="N180BF" xml:space="preserve">Et ſic pa­
                    <lb/>
                  tet concluſio.
                    <note position="left" xlink:href="note-0082-01a" xlink:label="note-0082-01" xml:id="N18151" xml:space="preserve">correla.</note>
                  </s>
                  <s xml:id="N180C9" xml:space="preserve">¶ Ex quo ſequitur /  vbi aliqua po-
                    <lb/>
                  tentia non variata aliquod medium inuariatum
                    <lb/>
                  tranſeundo continuo vniformiter remittit motuꝫ
                    <lb/>
                  ſuum: omnis potentia maior per ſui continuã re-
                    <lb/>
                  miſſionem idem medium inuariatum tranſeundo
                    <lb/>
                  continuo vniformiter remittit motum ſuum </s>
                  <s xml:id="N180D6" xml:space="preserve">Pro­
                    <lb/>
                  batur: et ſit b. potentia que inuariata c. mediū trã­
                    <lb/>
                  ſeundo inuariatum vniformiter continuo remit-
                    <lb/>
                  tit motū ſuum: ſit a. potentia maior que ad pun­
                    <lb/>
                  ctum initiatiuū c. medii habeat proportionem ī h.
                    <lb/>
                  proportione maiorem quam ſit proportio quam
                    <lb/>
                  habet b. potentia ad punctum medium eiuſdem c.
                    <lb/>
                  medii: et a. poña continuo quãdiu mouetur prece­
                    <lb/>
                  dente b. potentia moueatur in h. proportione ve-
                    <lb/>
                  locius per ſui variationem (medio ſemper inua-
                    <lb/>
                  riato) et incipiant in eodem īſtanti moueri b. a pū­
                    <lb/>
                  cto medio a. vero a puncto initiatiuo c. medii ī ex-
                    <lb/>
                  tremo remiſſiori. </s>
                  <s xml:id="N180F1" xml:space="preserve">tunc dico /  a. potentia tranſeū-
                    <lb/>
                  do aliquam partem ipſius c. medii vniformiter cõ­
                    <lb/>
                  tinuo remittit motū ſuum: et hoc per ſui cõtinuam
                    <lb/>
                  remiſſionem. </s>
                  <s xml:id="N180FA" xml:space="preserve">Quod ſic probatur / quia per quam­
                    <lb/>
                  libet partem prime medietatis quaꝫ pertranſibit
                    <lb/>
                  mouendo vniformiter continuo remittit motum:
                    <lb/>
                  et hoc continuo remittendo potentiam ſuam: igi-
                    <lb/>
                  tur a. potentia aliquam partem c. medii tranſeū-
                    <lb/>
                  do continuo vniformiter remittit motum ſuum ꝑ
                    <lb/>
                  ſui continuam remiſſionem. </s>
                  <s xml:id="N18109" xml:space="preserve">Conſequentia patet:
                    <lb/>
                  et probatur maior vt ſupra in hac cõcluſione: et mi­
                    <lb/>
                  nor oſtenditur ſic / quia per nullum tempus talem
                    <lb/>
                  partem tranſeundo manet inuariata, aut intēdit
                    <lb/>
                  potentiam ſuam cum caſu: igitur continuo talem
                    <lb/>
                  partem tranſeundo remittit potentiam ſuã. </s>
                  <s xml:id="N18116" xml:space="preserve">An-
                    <lb/>
                  tecedens probatur / quia ſi per aliquod tempus ta­
                    <lb/>
                  lē partē trãſeundo ſtat aut remittit potentiã ſuaꝫ
                    <lb/>
                  cum caſu: detur illud tempus: et ſit g. in quo a. po-
                    <lb/>
                  tentia pertranſeat adequate partem c. medii .ef. et
                    <lb/>
                  b. pertranſeat partem d. in eodē g. tempore: et ma­
                    <lb/>
                  nifeſtum eſt /  ipſius .ef. partis ad ipſam d. parteꝫ
                    <lb/>
                  eſt proportio h. cum a. in h. proportione continuo
                    <lb/>
                  velocius moueatur quaꝫ b. / ex hypotheſi. </s>
                  <s xml:id="N18129" xml:space="preserve">Quo po­
                    <lb/>
                  ſito arguitur ſic / latitudinis motꝰ deperdite ab ip­
                    <lb/>
                  ſa b. potentia tranſeūdo .ef. partem adequate ad
                    <lb/>
                  latitudinem deperditam ab eadeꝫ potentia b. trã­
                    <lb/>
                  ſeundo d. partem in g. tempore adequate non ē ꝓ­
                    <lb/>
                  portio h. nec maior: igitur latitudinis deꝑdite ab
                    <lb/>
                  a. potentia inuariata vel intendente potentiã ſuã
                    <lb/>
                  tranſeundo .ef. partem adequate in g. tempore ad
                    <lb/>
                  latitudinem deperditam ab ipſa b. potentia tran­
                    <lb/>
                  ſeundo d. partem in eodem g. tempore adequate
                    <lb/>
                  non eſt proportio h. nec maior: ſed conſequens
                    <lb/>
                  eſt falſum: igitur illud ex quo ſequitur: videlicet / 
                    <lb/>
                  potentia a. tranſeundo .ef. partem continuo ma-
                    <lb/>
                  net inuariata aut intendit potentiam ſuam. </s>
                  <s xml:id="N18146" xml:space="preserve">Con­
                    <lb/>
                  ſequentia patet vt ſupra in hac concluſione: et ſimi­
                    <lb/>
                  liter conſequens cum falſitate conſequentis</s>
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                <p xml:id="N18157">
                  <s xml:id="N18158" xml:space="preserve">Tertia concluſio </s>
                  <s xml:id="N1815B" xml:space="preserve">Ubi aliqua poten-
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                  tia non variata vniformiter continuo remittit mo­
                    <lb/>
                  tum ſuum aliquod medium inuariatum tranſeun­
                    <lb/>
                  do: omnis maior valet idem medium inuariatum
                    <lb/>
                  tranſeundo motum ſuum continuo vniformiter re­
                    <lb/>
                  mittere: et hoc aliquando ꝑ ſui cõtinuam remiſſio-
                    <lb/>
                  nem: et aliquando per ſui continuam intenſionem
                    <lb/>
                  </s>
                  <s xml:id="N1816B" xml:space="preserve">Probatur / ſit b. potentia que inuariata vniformi­
                    <lb/>
                  ter continuo remittat motum ſuum c. medium īua­
                    <cb chead="Capitulum octauum"/>
                  riatum tranſeundo: ſit a. potentia maior cuiꝰ ꝓ­
                    <lb/>
                  portio ad punctum initiatiuum in extremo remiſ­
                    <lb/>
                  ſiori ipſius c. medii ſe habet ad proportionem b.
                    <lb/>
                  potentie ad idem punctum in proportione f. / et po­
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                  natur b. potentia in principio ſecunde partis pro­
                    <lb/>
                  portionalis ipſius c. medii diuiſi proportione f.
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                  (ſiue f. proportio rationalis ſit ſiue non. </s>
                  <s xml:id="N1817F" xml:space="preserve">nõ eſt cu-
                    <lb/>
                  ra) et a. potentia ponatur in puncto initiatiuo ip-
                    <lb/>
                  ſius c. medii in extremo remiſſiori: et manifeſtum ē /
                    <lb/>
                   proportionis ipſius a. ad punctum initiatiuuꝫ
                    <lb/>
                  ipſius c. medii in extremo remiſſiori ad proportio­
                    <lb/>
                  nem ipſius b. potentie ad punctum initiatiuum ſe­
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                  cunde partis proportionalis ipſius c medii diuiſi
                    <lb/>
                  proportione f. eſt maior proportio quam f. que ſit
                    <lb/>
                  h. </s>
                  <s xml:id="N18192" xml:space="preserve">Nam proportio a. ad punctum initiatiuū ſe ha­
                    <lb/>
                  bet in proportione f. ad proportionem ipſiꝰ b. ad
                    <lb/>
                  idem punctum: et proportio ipſius b. ad punctum
                    <lb/>
                  initiatiuum ſecunde partis proportionalis ꝓpor­
                    <lb/>
                  tione f. eſt minor quaꝫ ſit proportio ipſius b. ad pū­
                    <lb/>
                  ctum initiatiuum: ergo idem tertium puta ꝓpor-
                    <lb/>
                  tio ipſius a. ad punctum initiatiuum habet maio­
                    <lb/>
                  rem proportionem ad proportionem b. potentie
                    <lb/>
                  ad punctum initiatiuum ſecunde partis propor-
                    <lb/>
                  tionalis c. medii quam ad proportioneꝫ ipſius b.
                    <lb/>
                  potentie ad punctum initiatiuum ipſius c. medii.</s>
                </p>
                <p xml:id="N181A9">
                  <s xml:id="N181AA" xml:space="preserve">Incipiat / igitur a. potentia moueri in eodem inſtã­
                    <lb/>
                  ti a puncto initiatiuo c. medii in h. proportione ve-
                    <lb/>
                  locius quam b. potentia incipiat moueri a pūcto
                    <lb/>
                  initiatiuo ſecunde partis proportionalis etc. et a.
                    <lb/>
                  per ſui continuam variationem continuo mouea­
                    <lb/>
                  tur in h. ꝓportione velocius ad terminum vſ c.
                    <lb/>
                  medii deueniēdo ꝙ̄ b. potētia. </s>
                  <s xml:id="N181B9" xml:space="preserve">Et tūc dico /  a. po­
                    <lb/>
                  tentia continuo vniformiter remittit motū ſuum
                    <lb/>
                  c. medium inuariatum tranſeundo quod inuaria­
                    <lb/>
                  tum b. potentia inuariata tranſit vniformiter cõ-
                    <lb/>
                  tinuo remittēdo motū ſuum: et hoc aliquando per
                    <lb/>
                  ſui continuam remiſſionem, aliquando vero per
                    <lb/>
                  ſui continuam intenſioneꝫ: </s>
                  <s xml:id="N181C8" xml:space="preserve">Quod ſic probatur / q2
                    <lb/>
                  a. potentia continuo vniformiter remittit motum
                    <lb/>
                  ſuum c. medium tranſeundo: et per aliquam par-
                    <lb/>
                  tem talis temporis in quo remittit motum ſuum
                    <lb/>
                  continuo remittetur in potentia ſua: et per totam
                    <lb/>
                  reſiduam parteꝫ continuo intendet̄̄ ī potentia: er-
                    <lb/>
                  go a. poña continuo vniformiter remittit motum
                    <lb/>
                  ſuum c. medium inuariatum tranſeundo, aliquan­
                    <lb/>
                  do per ſui continuam remiſſionem, aliquando ve­
                    <lb/>
                  ro per ſui continuam intenſionem. </s>
                  <s xml:id="N181DD" xml:space="preserve">Conſequentia
                    <lb/>
                  patet: et minor probatur: quia a. poña continuo in
                    <lb/>
                  h. proportione velocius mouetur quam b. poten-
                    <lb/>
                  tia vniformiter continuo remittens motum ſuum /
                    <lb/>
                  igitur a. potentia continuo vniformiter remittit
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                  motum ſuum. </s>
                  <s xml:id="N181EA" xml:space="preserve">Patet conſequentia ex prima ſup-
                    <lb/>
                  poſitione huius. </s>
                  <s xml:id="N181EF" xml:space="preserve">Prima pars minoris probatur /
                    <lb/>
                  quia a. potentia per aliquam partem temporis ī
                    <lb/>
                  quo vniformiter remittit motum ſuuꝫ ſequetur b.
                    <lb/>
                  potentiam cum reſiſtentia minori mouendo conti­
                    <lb/>
                  nuo: igitur potentia a. per illud tempus conti-
                    <lb/>
                  nuo remittet potentiam ſuam. </s>
                  <s xml:id="N181FC" xml:space="preserve">Patet conſequen-
                    <lb/>
                  tia / quia ſi per aliquod tempus ſtaret vel intende-
                    <lb/>
                  ret̄̄ in potentia b. potentiã ſeq̄ndo: et mouendo ↄ̨ti­
                    <lb/>
                  nuo cum reſiſtentia minori medio inuariato et per
                    <lb/>
                  illud tempus non continuo remittit potentiam ſu­
                    <lb/>
                  am: ſignetur illud tempus: et ſit g. in quo a. pertan­
                    <lb/>
                  ſeat adequate .ef. partem: et b. potentia d. partem
                    <lb/>
                  adequate: et manifeſtum eſt /  ipſius .ef. partis ad
                    <lb/>
                  ipſam d. partem eſt proportio h. cum a. potentia
                    <lb/>
                  continuo moueatur in h. proportione velocius ip­
                    <lb/>
                  ſa b. potentia ex hypotheſi. </s>
                  <s xml:id="N18213" xml:space="preserve">quo poſito arguitur /
                    <lb/>
                  ſic latitudinis motus deperdite ab ipſa potentia </s>
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