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="N18B2D" level="4" n="9" type="chapter" type-free="capitulum">
                <p xml:id="N18DD7">
                  <s xml:id="N18E11" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0091" n="91"/>
                  tem equalē vel maiorē magis reſiſtentiã quã potē-
                    <lb/>
                  tia vt .10. / et per cõſequēs ↄ̨tinuo potentia illa vt .16.
                    <lb/>
                  maiorē proportionē deperdit per acquiſitionē re-
                    <lb/>
                  ſiſtentie quã potentia vt .10. </s>
                  <s xml:id="N18E29" xml:space="preserve">Patet hec conſequētia
                    <lb/>
                  ex ſecūda ſuppoſitione octaui capitis huiꝰ. </s>
                  <s xml:id="N18E2E" xml:space="preserve">Quã-
                    <lb/>
                  uis em̄ hec potentia varietur: nichilominus ex par­
                    <lb/>
                  te acquiſitionis reſiſtentie tantã ꝓportionē vel ma­
                    <lb/>
                  iorem deperdit ac ſi maneret cõtinuo īuariata: igi­
                    <lb/>
                  tur cõtinuo maiorē ꝓportionē deperdit / quod fuit
                    <lb/>
                  probandum.</s>
                </p>
                <p xml:id="N18E3B">
                  <s xml:id="N18E3C" xml:space="preserve">Reſpondeo negãdo antecedens:  ad
                    <lb/>
                  ꝓbationē admiſſo caſu nego maiorē: et ad ꝓbatio-
                    <lb/>
                  nem nego antecedens videlicet /  continue maiorē
                    <lb/>
                  ꝓpõrtionē deperdit: et cum ꝓbatur concedo antece­
                    <lb/>
                  cedens / et nego cõſequentiã: ſed bene ſequitur /  ma­
                    <lb/>
                  iorē reſiſtentiã ꝓportiõabiliter acquirit. </s>
                  <s xml:id="N18E49" xml:space="preserve">Quãuis
                    <lb/>
                  em̄ deperdat cõtinue ꝓportionē maiorē per acqui-
                    <lb/>
                  ſitionē reſiſtentie tamen ſemper aliquã ꝓportionē
                    <lb/>
                  acquirit per intenſionē potentie. </s>
                  <s xml:id="N18E52" xml:space="preserve">Et ſic argumentū
                    <lb/>
                  bene ꝓbaret ꝓpropoſitū ſi potentia non intenderetur</s>
                </p>
                <p xml:id="N18E57">
                  <s xml:id="N18E58" xml:space="preserve">Sed contra / quia tunc ſequeretur / 
                    <lb/>
                  ſi potentia illa remitteretur cõtinuo ipſa nõ poſſet
                    <lb/>
                  vniformiter remittere motū ſuū illud mediū tran-
                    <lb/>
                  ſeundo: ſed cõſequens eſt contra correlariū ſecūde
                    <lb/>
                  ↄ̨cluſionis octaui capitis huiꝰ / igitur ſolutio nulla
                    <lb/>
                  </s>
                  <s xml:id="N18E64" xml:space="preserve">Probatur ſequela / q2 tūc talis potentia continuo
                    <lb/>
                  moueretur velocius alia potentia maiore nõ varia­
                    <lb/>
                  ta difformiter remittente motū ſuū idem medium
                    <lb/>
                  tranſeundo verſus extremū intenſius: igitur con-
                    <lb/>
                  tinuo maiorē ꝓportionē deperderet: et per conſe-
                    <lb/>
                  quens velocius continuo remitteret motū ſuū quã
                    <lb/>
                  potentia maior vt .10. nõ variata: et ſic nõ vniformi­
                    <lb/>
                  ter. </s>
                  <s xml:id="N18E75" xml:space="preserve">Cõſequentia tamen ptꝫ ex ſecūda ſuppoſitione
                    <lb/>
                  octaui capitis preallegata. </s>
                  <s xml:id="N18E7A" xml:space="preserve">Sed ãtecedens arguit̄̄
                    <lb/>
                  videlicet /  potentia illa vt .16. cõtinuo velociꝰ mo-
                    <lb/>
                  ueretur: et pono potentiã vt .16. ſimul cum potentia
                    <lb/>
                  vt .10. ad principiū vltime quarte puta ad punctum
                    <lb/>
                  vt .4. / et pono potentiã vt .8. q̄ nõ variata ꝑtrãſeūdo
                    <lb/>
                  c. mediū īuariatū cõtinuo vniformiter remittit mo-
                    <lb/>
                  tū ſuū ad punctū ītrīſecū eiuſdē vltime q̈te / ad qḋ ha­
                    <lb/>
                  bet ꝓportionē irrationalē ſubduplã duple: et mo-
                    <lb/>
                  ueantur ſic oēs ille potentie ſimul ab eodē inſtanti /
                    <lb/>
                  quo poſito ptꝫ /  maior potentia variata puta vt
                    <lb/>
                  16. cõtinuo velocius mouebitur quã potentia vt .10.
                    <lb/>
                  qm̄ potentia vt .16. incipit moueri a multo maiori
                    <lb/>
                  proportione: igitur propoſitum. </s>
                  <s xml:id="N18E95" xml:space="preserve">Hec em̄ a dupla
                    <lb/>
                  ſexquialtera: illa autem a quadrupla ſuum motum
                    <lb/>
                  inchoat / vt patet ex caſu.</s>
                </p>
                <p xml:id="N18E9C">
                  <s xml:id="N18E9D" xml:space="preserve">Reſpõdeo negando ſequelã /  ad pro-
                    <lb/>
                  bationē nego /  potentia vt .16. continuo velocius
                    <lb/>
                  mouebitur quã potentia vt .10. maior nõ variata / et
                    <lb/>
                  cū ꝓbatur admiſſo caſu nego antecedens. </s>
                  <s xml:id="N18EA6" xml:space="preserve">Dico em̄ /
                    <lb/>
                   illa potentia maior vt .16. variata antea quã de-
                    <lb/>
                  euniat ad finē ab in infinitū parua ꝓportione mo-
                    <lb/>
                  uebitur qm̄ ipſa ſic cõtinue remittente cū altera re­
                    <lb/>
                  mittente motū ſuū ad nõ gradū: neceſſe eſt ipſã ad
                    <lb/>
                  nõ gradū remittere ſimiliter motū ſuū: et ſic ab in
                    <lb/>
                  īfinitū parua ꝓportiõe moueri / vt ſepiꝰ ſupra argu­
                    <lb/>
                  gutū eſt.
                    <note position="left" xlink:href="note-0091-01a" xlink:label="note-0091-01" xml:id="N18ED6" xml:space="preserve">1. correĺ.</note>
                  </s>
                  <s xml:id="N18EBC" xml:space="preserve">¶ Ex quo ſequit̄̄ /  ſi aliqua potētia varia­
                    <lb/>
                  ta moueretur vniformiter cõtinuo remittēs motuꝫ
                    <lb/>
                  ſuū ad nõ gradū cū alia nõ variata: et moueret̄̄ cõ-
                    <lb/>
                  tinuo a ꝓportiõe in cētuplo vel millecuplo vel quã-
                    <lb/>
                  tūcun volueris maiori: ipſã ab in infinitū parua
                    <lb/>
                  ꝓportiõe mouebit̄̄ antea quã deueniat ad finē quã­
                    <lb/>
                  quecū potētia quãtacū parua nõ remittēte mo­
                    <lb/>
                  tum ſuū ad nõ gradū idē mediū trãſeūdo. </s>
                  <s xml:id="N18ECD" xml:space="preserve">Hoc ptꝫ
                    <lb/>
                  ex ꝓbatione concluſionum precedentis capitis.</s>
                </p>
                <cb chead="Capitulum nonū."/>
                <p xml:id="N18EDE">
                  <s xml:id="N18EDF" xml:space="preserve">Tertio principaliter cõtra eandē cõ-
                    <lb/>
                  cluſione arguit̄̄ ſic / q2 ſi illa eſſet vera / ſeq̄ret̄̄ a. potē­
                    <lb/>
                  tiã maiorē variatã in īfinitū intēdi: ſed ↄ̨ſequēs eſt
                    <lb/>
                  falſū: igit̄̄ illud ex quo ſequit̄̄: falſitas cõſequentis
                    <lb/>
                  apparet manifeſte: qm̄ tūc nõ cõtinuo remittet mo­
                    <lb/>
                  tum ſuū. </s>
                  <s xml:id="N18EEC" xml:space="preserve">Plus em̄ aliquãdo accreſceret ſibi de pro­
                    <lb/>
                  portiõe ꝑ intēſionē ſue potentie quã deꝑderet̄̄ ꝑ re-
                    <lb/>
                  ſiſtentie acquiſitionē. </s>
                  <s xml:id="N18EF3" xml:space="preserve">Seq̄la tamē ꝓbat̄̄ / qm̄ in īfi-
                    <lb/>
                  nitū vetociter intendit̄̄ ipſa a. potētia: igit̄̄ ipſa in
                    <lb/>
                  īfinitū ītendit̄̄. </s>
                  <s xml:id="N18EFA" xml:space="preserve">Aneecedēs ꝓbat̄̄: qm̄ in īfinitū velo-
                    <lb/>
                  citer ꝓportiõabiliter accreſcet ſibi reſiſtētia / vt ptꝫ
                    <lb/>
                  ex ꝓbatiõe quīte cõcluſiõis ſeptimi capitis huiꝰ: et
                    <lb/>
                  ipſa cõtinuo vniformiter remittit motū ſuū: igit̄̄ in
                    <lb/>
                  īfinitū velociter accreſcit ſibi potentia. </s>
                  <s xml:id="N18F05" xml:space="preserve">Minor eſt
                    <lb/>
                  nota ex cõcluſiõe: et ꝓbat̄̄ ↄ̨ña / qm̄ ſi ſolū finite velo-
                    <lb/>
                  citer accreſceret ſibi potētia: et reſiſtētia in īfinitum
                    <lb/>
                  velociter ei accreſceret ſequeret̄̄ /  nõ ſemꝑ eque ve­
                    <lb/>
                  lociter deꝑderet ꝓportionē: et ꝑ ↄ̨ñs nõ vniformiter
                    <lb/>
                  remitteret motū ſuū: igit̄̄ ſi cõtinuo vniformiter re­
                    <lb/>
                  mittit motū ſuū: et in īfinitū velociter ꝓportiõabi-
                    <lb/>
                  liter acquirit̄̄ ſibi reſiſtētia: ſequit̄̄ /  potētia eiꝰ in
                    <lb/>
                  īfinitū velociter intēdit̄̄. </s>
                  <s xml:id="N18F18" xml:space="preserve">Patet hec ↄ̨ña / qm̄ oppo-
                    <lb/>
                  ſitū cõſcqrētis cū altera parte ãtecedētis īfert op-
                    <lb/>
                  poſitū alteriꝰ partis eiuſdē ãtecedētis. </s>
                  <s xml:id="N18F1F" xml:space="preserve">Sed iã ꝓbo
                    <lb/>
                  ãtecedēs / q̄ eſt vna cõditiõalis videlicet /  ſi ſolū fini­
                    <lb/>
                  te velociter creſceret ſibi potētia et reſiſtētia in īfini­
                    <lb/>
                  tū velociter ei accreſceret / tã ſeq̄ret̄̄ /  nõ ſemꝑ eque­
                    <lb/>
                  velociter deꝑderet ꝓportionē: et ſic nõ vniformiter
                    <lb/>
                  cõtinuo remitteret motū ſuū: q2 ſi ſolū finite veloci-
                    <lb/>
                  ter accreſceret ſibi potētia: et reſiſtētia in īfinitū ve-
                    <lb/>
                  lociter ei accreſceret: tã ſeq̄ret̄̄ /  in īfinitū velocius
                    <lb/>
                  ꝓportiõabiliter accreſceret ei reſiſtētia quã poten-
                    <lb/>
                  tia: et ꝑ ↄ̨ñs in īfinitū maiorē ꝓportionē deꝑderet ꝑ
                    <lb/>
                  acquiſitionē reſiſtētie quã acquireret ꝑ acquiſitio-
                    <lb/>
                  nē potētie: et ex cõſequēti in īfinitū velociter deper-
                    <lb/>
                  deret ꝓportionē: et ſic nõ ſemꝑ eque velociter deper­
                    <lb/>
                  deret ꝓportionē nec continuo vniformiter remitte­
                    <lb/>
                  ret motū ſuū: et ſic de primo ad vltimū ptꝫ illa ↄ̨ña
                    <lb/>
                  ꝓbanda. </s>
                  <s xml:id="N18F40" xml:space="preserve">Cõſequētia ptꝫ videlicet /  ſi ſolū finite ve­
                    <lb/>
                  lociter accreſceret ſibi potētia: reſiſtētia in īfinitū
                    <lb/>
                  velociter ei accreſceret ſequeret̄̄ /  in īfinitū velociꝰ
                    <lb/>
                  ꝓportionabiliter accreſceret ei reſiſtentia quã po-
                    <lb/>
                  tentia: qm̄ ſi cõtinuo eque velociter accreſceret ſibi
                    <lb/>
                  reſiſtētia ſicut potētia: velocius ꝓportiõabiliter ac­
                    <lb/>
                  creſceret quã potētia / vt ptꝫ ex octaua ſuppõe q̈rta
                    <lb/>
                  capitꝪ ſcḋe partꝪ: hoc addito /  ↄ̨tinuo potētia ma­
                    <lb/>
                  net maior: ſꝫ modo ī īfinitū velociꝰ accreſcit ſibi re­
                    <lb/>
                  ſiſtētia quã potētia: g̊ in īfinitū velociꝰ ꝓportiõabi­
                    <lb/>
                  liṫ accreſcit ſibi reſtētia quã potētia / qḋ fuit ꝓbãdū</s>
                </p>
                <p xml:id="N18F57">
                  <s xml:id="N18F58" xml:space="preserve">Reſpõdeo negãdo ſeq̄lã:  ad ꝓbatio-
                    <lb/>
                  nē nego ↄ̨ñam / q̄ nulliꝰ eſt apparētie. </s>
                  <s xml:id="N18F5D" xml:space="preserve">Stat em̄ /  ali­
                    <lb/>
                  quid in īfinitū velociṫ intēdi in hora: et tñ ſolū finite
                    <lb/>
                  intēdi: vt ſatis cõſtat ſi diuiſa hora ꝑ partes ꝓpor­
                    <lb/>
                  tiõales ꝓportiõe q̈drupla: in ṗma illaꝝ acq̇rit̄̄ ali-
                    <lb/>
                  cui corpori vnꝰ gradꝰ calditatis, et in ſcḋa dimidiꝰ
                    <lb/>
                  et ī ṫcia, vna q̈rta, et ſic ↄ̨ñter: ꝑ partes ꝓportioãles
                    <lb/>
                  ꝓportione dupla: tunc manifeſtuꝫ eſt /  tota illa ca­
                    <lb/>
                  liditas erit duorum graduum in fine adequate / vt
                    <lb/>
                  patet ex ſecundo correlario tertie concluſionis quī-
                    <lb/>
                  ti capitis prime partis: </s>
                  <s xml:id="N18F72" xml:space="preserve">Ibi enim acquiritur illa q̈-
                    <lb/>
                  litas per partes ꝓportionales ꝓportione dupla:
                    <lb/>
                  igitur reſiduuꝫ a prima eſt equale prime: et prima
                    <lb/>
                  erit vnus gradus: ergo totum eſt duorum graduuꝫ
                    <lb/>
                  adequate / vt patet ex ſucūdo correlario preallega-
                    <lb/>
                  to: et tamen in infinitum velociter acquiritur illa ca­
                    <lb/>
                  liditas: quoniam qualitas illa acquiritur in ſecun­
                    <lb/>
                  da parte ꝓportionali in duplo velocius quã in pri­
                    <lb/>
                  ma et in tertia in duplo velocius quam in ſecunda. / </s>
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