Alvarus, Thomas, Liber de triplici motu, 1509

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                <p xml:id="N19394">
                  <s xml:id="N193B4" xml:space="preserve">
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                  punctum intrinſecum c. medii. </s>
                  <s xml:id="N193C0" xml:space="preserve">quia proportionis
                    <lb/>
                  a. ad punctum initiatiuum c. medii ad proportiõeꝫ
                    <lb/>
                  ipſius b. ad idem punctum initiatiuum eſt propor-
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                  tio f. et proportionis ipſius b. ad punctum initiati-
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                  uum c. medii ad proportionem eiuſdem b. ad pūctū
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                  illud intrinſecum eſt etiam proportio f. / igitur pro-
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                  portionis a. ad punctum initiatiuum c. medii ad ꝓ-
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                  portionem ipſius b. ad punctum illud intrinſecum
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                  eſt duplex proportio f. incipiant / igitur in eodem in­
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                  ſtanti moueri b. ab illo puncto intrinſeco c. medii: et
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                  a. a puncto initiatiuo continuo per ſui variationeꝫ
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                  in duplici f. proportione velocius quam b. poña: et
                    <lb/>
                  arguo ſic / a. poña c. medium inuariatnm tranſeun-
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                  do continuo vniformiter remittit motum ſuum: q2
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                  continuo in certa proportione velocius mouetur b.
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                  poña continuo ſuum motum vniformiter remitten­
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                  te: et a. et b. eque primo deueniet ad extremum inten­
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                  ſius c. medii in quo b. remittit motum ſuum ad non
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                  gradum: et a. potentia continuo ſucceſſiue remittit
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                  potentiam ſuam: igitur tam a. quam .bc. medium ī­
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                  uariatum tranſeundo continuo vniformiter remit­
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                  tit motum ſuum ad non gradum in extremo intenſio­
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                  ri a. continuo ſucceſſiue remittente poñam ſuam.</s>
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                <p xml:id="N193EF">
                  <s xml:id="N193F0" xml:space="preserve">Conſequentia patet cum maiore / et minor probatur /
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                  quia totius c. medii ad reſiduum a puncto intrinſe­
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                  co ad quod ponitur b. poña eſt proportio dupla ad
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                  ad proportionem f. et a. poña c. medium tranſeūdo
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                  continuo in dupla ꝓportione ad f. velocius moue-
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                  tur quam b. poña: igitur in eodem tempore a. poña
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                  pertranſit totum c. medium in quo b. poña ꝑtranſit
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                  reſiduum a puncto intrinſeco ad quod ponitur: et ꝑ
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                  conſequēs a. et b. eque primo deuenerit ad extremū
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                  intenſius c. medii / quod fuit probandum. </s>
                  <s xml:id="N19405" xml:space="preserve">Conſequē­
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                  tia patet cum minore: et maior ꝓbatur ex prima cõ­
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                  cluſione quinti capitis prime partis, hoc addito / 
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                  inter punctum initiatiuum c. medii et punctum intrī­
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                  ſecum c. medii ad quod ponitur ipſa potentia b. me­
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                  diat prima pars proportionalis c. medii diuiſi du­
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                  plici proportione f. / quod patet ex hypotheſi iūcta
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                  ſuppoſitione. </s>
                  <s xml:id="N19416" xml:space="preserve">Sed  a. poña tranſeundo c. mediuꝫ
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                  continuo ſucceſſiue remittit poñam ſuam eo modo
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                  probatur / quo ſepius probatum eſt precedēti capi-
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                  te: </s>
                  <s xml:id="N1941F" xml:space="preserve">Et ſic patet aſſumptum.</s>
                </p>
                <p xml:id="N19422">
                  <s xml:id="N19423" xml:space="preserve">Reſpondeo igitur ad argumentuꝫ cõ­
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                  cedendo ſequelam et negando falſitatem conſequē­
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                  tis: et ad probationem nego antecedens: et ad ꝓba-
                    <lb/>
                  tionem antecedentis nego /  hoc maxime fieret ca-
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                  ſu quo b. potentia inciperet moueri a puncto initia ­
                    <lb/>
                  tiuo ſecunde partis ꝓportionalis c. medii diuiſi in
                    <lb/>
                  partes proportionales ꝓportione ſexquialtera: ſꝫ
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                  illud fieret caſu quo b. potentia inciperet moueri a
                    <lb/>
                  puncto illo intrinſeco c. medii ad quod habet in du­
                    <lb/>
                  plo minorem proportionem ad proportionem quã
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                  habet eadem potentia b. ad punctum initiatiuum
                    <lb/>
                  eiuſdem c. medii: vt ex deductione replice facile pro­
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                  bari poteſt.</s>
                </p>
                <p xml:id="N1943E">
                  <s xml:id="N1943F" xml:space="preserve">Quinto contra eandem concluſioneꝫ
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                  arguitur ſic / quoniam vbi aliqua poña non varia-
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                  ta tranſeundo medium inuariatum continuo vni-
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                  formiter remittit motum ſuum ad non gradum. </s>
                  <s xml:id="N19448" xml:space="preserve">om­
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                  nis maior non variata in infinitum velociter remit­
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                  tit motum ſuum in eodem medio verſus extremum
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                  intenſius deueniendo: ſed ſi continuo talis potētia
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                  maior verſus extremum intenſius deueniēdo remit­
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                  teretur magis remitteret de motu ſuo quam ſi ſta-
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                  ret: igitur omnis potentia maior que per tale medi­
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                  um continuo remittitur in infinituꝫ velociter remit­
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                  tit motum ſuum: et per conſequens non vniformiter
                    <cb chead="Capitulum nonum"/>
                  quod eſt contra concluſionem. </s>
                  <s xml:id="N1945E" xml:space="preserve">Conſequentia patet
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                  per locum a maiori: et maior eſt quinta concluſio ſe­
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                  ptimi capitis huius tractatus: et minor ꝓbatur / q2
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                  potentia maior que continuo remittitur verſns ex-
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                  tremum intenſius deueniendo maiorem latitudinē
                    <lb/>
                  motus deperdit tranſeundo aliquam partem ꝙ̄ de­
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                  perderet eandem tranſeundo quando continuo ma­
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                  neret iuuariata: igitur plus de latitudine motus de­
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                  perdit quando remittitur ꝙ̄ quando non variatur
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                  </s>
                  <s xml:id="N19472" xml:space="preserve">Antecedens probatur / quia quãlibet partem tran-
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                  ſeundo quando remittitur maiorem proportioneꝫ
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                  deperdit: quoniam deperdit ratione acquiſitionis
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                  reſiſtentie tantam quantam deperderet ſi ſtaret īua­
                    <lb/>
                  riata: et inſuper perdit aliquam aliam proportio-
                    <lb/>
                  nem ratione remiſſionis ſue potentie. </s>
                  <s xml:id="N1947F" xml:space="preserve">igitur maio-
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                  rem proportionem deperdit tranſeundo aliquam ꝑ­
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                  tem quando remittitur ꝙ̄ quando non remittitur.
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                  </s>
                  <s xml:id="N19487" xml:space="preserve">et per conſequens maiorem latitudinem motus de­
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                  perdit tranſeundo aliquam partem quando remit­
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                  titur ꝙ̄ quando non variatur / quod fuit probandū</s>
                </p>
                <p xml:id="N1948E">
                  <s xml:id="N1948F" xml:space="preserve">Reſpondeo breuiter concedendo ma-
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                  iorem, et minorem, et negando conſequentiam. </s>
                  <s xml:id="N19494" xml:space="preserve">Et
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                  ratio eſt quia quamuis tranſeundo aliquam par-
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                  tem verſus extremum intenſius deueniendo maio-
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                  rem latitudinem motus deperdat quando remitti-
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                  tur ꝙ̄ quando ſtat inuariata: nichilominus illam ꝑ­
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                  dit tardius. </s>
                  <s xml:id="N194A1" xml:space="preserve">Modo ad hoc /  conſequentia valeret
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                  oportet aſſumere /  quando remittitur tranſeundo
                    <lb/>
                  aliquam partem velocius deperdit ſuam velocita-
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                  tem ꝙ̄ quando ſtat vel eque velociter: et tunc conſe-
                    <lb/>
                  quentia valeret per locum a maiori: ſed tunc negã-
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                  dum eſſet aſſumptum.</s>
                </p>
                <note position="right" xml:id="N194AE" xml:space="preserve">argumē-
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                tum cal-
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                culatorꝪ.</note>
                <p xml:id="N194B6">
                  <s xml:id="N194B7" xml:space="preserve">Sexto contra quintam concluſioneꝫ
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                  octaui capitis arguitur ſic / in caſu concluſionis a.
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                  potentia minor variata que continuo intenditur in
                    <lb/>
                  infinitum tarde remittit motum ſuum verſus extre­
                    <lb/>
                  mum intenſius deueniendo: igitur non vniformiter
                    <lb/>
                  et per conſequens concluſio falſa. </s>
                  <s xml:id="N194C4" xml:space="preserve">Conſequentia eſt
                    <lb/>
                  nota, et antecedens probatur, et pono /  ſimul cum
                    <lb/>
                  ipſa poña a. minore que intenditur īfinite maiores
                    <lb/>
                  ea: minores tamē ipſa poña b. (que inuariata c. me­
                    <lb/>
                  dium inuariatum tranſeundo vniformiter cõtinuo
                    <lb/>
                  remittit motum ſuum ad non graduꝫ) moueantur
                    <lb/>
                  non variate: taliter  continuo cuꝫ a. deuenerit ad
                    <lb/>
                  aliquod punctum c. medii ſit cum eadem potentia
                    <lb/>
                  a. aliqua illarum potentiarum non variatarū que
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                  que pro eodem puncto et in eodem inſtanti ſit equa­
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                  lis ipſi a. et in eodem inſtanti incipiant moueri ab
                    <lb/>
                  illo puncto verſus extremum intenſius ita  conti­
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                  nuo a. ſit cum alia et alia illarum potentiarum que
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                  pro tunc ſit equalis illi. </s>
                  <s xml:id="N194E1" xml:space="preserve">Quo poſito ſic argumētor /
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                  quelibet illarum potentiarum non variatarū qua­
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                  rum quelibet eſt minor ipſa poña non variata ī ali­
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                  quo puncto intrinſeco c. medii mouendo verſus ex-
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                  tremum intenſius in infinitum tarde remittit mo-
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                  tum ſuum: et poña a. que continuo intenditur, con-
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                  tiuuo tardius remittit motum ſuum quam aliqua
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                  illarum (et volo /  ly aliqua illarum ſtet preciſe con­
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                  fuſe tantum non diſtributiue) / igitur ipſa potētia
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                  a. in infinitum tarde remittit motum ſuum / quod fu­
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                  it probandum: </s>
                  <s xml:id="N194F8" xml:space="preserve">Conſequentia patet, et maior pro-
                    <lb/>
                  batur per ſextam concluſionem ſeptimi capitis pre­
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                  allegati: et minorem ſic arguo / quoniam quocun ī­
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                  ſtanti dato illius temporis in quo ſic mouentur il-
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                  le potentie, potentia a. eſt ſimul cum aliqua illaruꝫ
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                  potentiarum non variatarum in aliquo puncto in­
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                  trinſeco c. medii / vt patet ex caſu: et incipiunt a. et il-
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                  la alia pontentia non variata ab eodē pūcto tran­ </s>
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