Alvarus, Thomas, Liber de triplici motu, 1509

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            <div xml:id="N25905" level="3" n="4" type="other" type-free="tractatus">
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                <p xml:id="N26823">
                  <s xml:id="N26827" xml:space="preserve">
                    <pb chead="Quarti tractatus" file="0227" n="227"/>
                  ꝑ corruptionē poña ab ipſa reſiſtentia reagēte ce-
                    <lb/>
                  teris īpedimētis et iuuamētis deductis: nulla poña
                    <lb/>
                  alteratiua maior eiuſdē ſpeciei aut mīor valet vni-
                    <lb/>
                  formiṫ corrūpere eandē reſiſtētiã. </s>
                  <s xml:id="N26837" xml:space="preserve">Ptꝫ hec ↄ̨cluſio
                    <lb/>
                  ex prima replica q̈rti argumenti ante oppoſitum.</s>
                </p>
                <p xml:id="N2683C">
                  <s xml:id="N2683D" xml:space="preserve">Scḋa ↄ̨̨cluſio. </s>
                  <s xml:id="N26840" xml:space="preserve">Ubi aliqḋ alterãs vni­
                    <lb/>
                  formiter ↄ̨tinuo corrūpit̄̄ aliquã reſiſtentiã ꝑ cor-
                    <lb/>
                  ruptionē poñe ab ipſa reſiſtētia reagēte ceterꝪ īpe­
                    <lb/>
                  dimētis et iuuameētis deductis: q̄libet poña altera­
                    <lb/>
                  tiua maior eiuſdē ſpeciei agēs in eandē reſiſtentiã
                    <lb/>
                  in īfinitū velociter talē reſiſtētiã corrūpit: dūmodo
                    <lb/>
                  nõ īpediat̄̄ ab actiõe: quã diu aliquid reſiſtētie fue-
                    <lb/>
                  rit: et oīs minor potens in eadem reſiſtentiam a-
                    <lb/>
                  gere in infinitum tarde talem reſiſtentiam corrum­
                    <lb/>
                  pet ceteris paribus. </s>
                  <s xml:id="N26855" xml:space="preserve">Patet hec concluſio ex ſecnn-
                    <lb/>
                  da replica quarti argumenti ante oppoſitum.</s>
                </p>
                <p xml:id="N2685A">
                  <s xml:id="N2685B" xml:space="preserve">Tertia ↄ̨̨cluſio. </s>
                  <s xml:id="N2685E" xml:space="preserve">Ubicun aliqḋ alte-
                    <lb/>
                  rans īuariatū alterat aliqḋ paſſū cuiꝰ paſſi reſiſtē­
                    <lb/>
                  tia ↄ̨tinuo maioratur: oīs poña alteratiua maior
                    <lb/>
                  eiuſdē ſpeciei: et ſimiliter mīor īuariata alterãs idē
                    <lb/>
                  paſſū cū ↄ̨tinuo et ↄ̨ſimili oīo cremēto reſiſtētie: eq̄
                    <lb/>
                  velociter ↄ̨tinuo remittit ſuū motū alteratiõis ſicut
                    <lb/>
                  data poña. </s>
                  <s xml:id="N2686D" xml:space="preserve">Et ſi reſiſtētia ↄ̨tinuo decreſcat reſpe-
                    <lb/>
                  ctu alicuiꝰ poñe īuariate: et ↄ̨ſiĺr eodē mõ decreſcat
                    <lb/>
                  reſpectu cuiuſuis poñe maioris aut mīoris īuaria­
                    <lb/>
                  te: oīs talis poña maior vel mīor eq̄ velociṫ' ↄ̨tinuo
                    <lb/>
                  intēdit motū ſuū alteratiõis ſicut data poña. </s>
                  <s xml:id="N26878" xml:space="preserve">Ptꝫ
                    <lb/>
                  hec ↄ̨cluſio manifeſte ex ſexta ↄ̨cluſiõe quīti capitis
                    <lb/>
                  primi tractatꝰ huiꝰ tertie pattꝪ: hīta poſſibilitate
                    <lb/>
                  caſus ↄ̨cluſiõis  eq̄ velociṫ' vcꝫ ↄ̨tinuo creſcat aut
                    <lb/>
                  decreſcat reſiſtētia reſpectu maioris poñe et mino­
                    <lb/>
                  ris. </s>
                  <s xml:id="N26885" xml:space="preserve">Qḋ facile fieri põt adiumēto alicuiꝰ poñe extrī­
                    <lb/>
                  ſece ꝓducētis dictã reſiſtētiã aut corrūpentis. </s>
                  <s xml:id="N2688A" xml:space="preserve">Qḋ
                    <lb/>
                  plerū fit in corpore humano cū mala cõplexio a-
                    <lb/>
                  git in bona reſiſtentē: et ꝑ ſubſidiū medicine auget̄̄
                    <lb/>
                  reſiſtentiã corporis humani. </s>
                  <s xml:id="N26893" xml:space="preserve">Aut ꝑ additamentum
                    <lb/>
                  alicuiꝰ cibi diſcõueniētis cõplexioni hūane ↄ̨tinuo
                    <lb/>
                  remittit̄̄ reſiſtentia ipſiꝰ nature: īualeſcente morbo
                    <lb/>
                  et continuo intendente ſuam alterationem.</s>
                </p>
                <p xml:id="N2689C">
                  <s xml:id="N2689D" xml:space="preserve">Quarta ↄ̨̨cluſio. </s>
                  <s xml:id="N268A0" xml:space="preserve">Quauis poña alte-
                    <lb/>
                  ratiua īuariata alterãte paſſū cuiꝰ paſſi reſiſtentia
                    <lb/>
                  ↄ̨tinuo creſcit ꝑ actionē alicuiꝰ poña. </s>
                  <s xml:id="N268A7" xml:space="preserve">cuiꝰ actiõi da­
                    <lb/>
                  ta poña alteratiua reſiſtit: oīs poña maior īuaria­
                    <lb/>
                  ta alterãs idē paſſū cū cremēto reſiſtētie ꝑ actionē
                    <lb/>
                  eiuſdē poñe augmētantis reſiſtentiã ceteris dedu-
                    <lb/>
                  ctis tardiꝰ in quouis tꝑe terminato ad principiuꝫ
                    <lb/>
                  alteratiõis remittit ſuū motū alteratõis: et oīs mi­
                    <lb/>
                  nor alterãs idē paſſū cū cremēto reſiſtētie ꝑ actiõeꝫ
                    <lb/>
                  eiuſdē poñe cuiꝰ etiã actiõi dicta poña mīor reſiſtit
                    <lb/>
                  ceteris īpedimētis et iuuameētis deductis velociꝰ re­
                    <lb/>
                  mittit motū ſuū in quouis tꝑe ad principiū alte-
                    <lb/>
                  ratiõis termīato. </s>
                  <s xml:id="N268BE" xml:space="preserve">Exēplū / vt data poña alteratiua
                    <lb/>
                  vt .8. q̄ īuariata alteret g. paſſū cuiꝰ g. paſſi reſiſtē-
                    <lb/>
                  tia ↄ̨tinuo creſcit ꝑ actionē alicuiꝰ poñe puta e. cuiꝰ
                    <lb/>
                  actioni ↄ̨tinuo reſiſtit poña alteratiua vt .8. tūc di­
                    <lb/>
                  cit ↄ̨cluſio /  ſi poña alteratiua vt .12. (ītelligas ſꝑ
                    <lb/>
                  eiuſdē ſpeciei) alteret g. paſſū cuiꝰ reſiſtētia ↄ̨tinuo
                    <lb/>
                  creſcit ꝑ actionē etiã ipſiꝰ e. poñe cui actioni reſiſtit
                    <lb/>
                  ipſa poña alteratiua vt .12. ceteris īpedimentis et
                    <lb/>
                  iuuameētis deductis in quolibet tꝑe terminato ad
                    <lb/>
                  prīcipiū alteratiõis tardiꝰ remittit motū ſuū ꝙ̄ in
                    <lb/>
                  eodē remittat poña vt .8. et ī eodē exēplo ptꝫ de mi-
                    <lb/>
                  nori. </s>
                  <s xml:id="N268D7" xml:space="preserve">Probat̄̄ prima pars ↄ̨cluſionis: q2 alterante
                    <lb/>
                  poña maiore illud idē paſſum: reſiſtentia illiꝰ paſſi
                    <lb/>
                  nõ tam velociter creſcit in aliquo tꝑe termīato ad
                    <lb/>
                  inſtans initiatiuū alteratiõis ſicut creſcit in eodeꝫ
                    <lb/>
                  tꝑe alterãte poña mīore: igr̄ alterãte poña maiore
                    <cb chead="Capitulū primū."/>
                  in nullo tꝑe termīato ad inſtãs īitiatiuū alteratio­
                    <lb/>
                  nis reſiſtētia tantã ꝓportionē acq̇rit ſicut in eodeꝫ
                    <lb/>
                  tꝑe acq̇rit alterãte poña mīore: et quantã ꝓportio-
                    <lb/>
                  nē in aliq̊ tꝑe acq̇rit reſiſtentia tantã deꝑdit ꝓpor°
                    <lb/>
                  inter reſiſtētiã et potentiã īuariatã agentē in illam
                    <lb/>
                  q̄cū ſit illa: igr̄ in q̊libet tꝑe terminato ad inſtãs
                    <lb/>
                  initiatiuū alteratiõis mīore ꝓportionē deꝑdit pro­
                    <lb/>
                  portio inter potētiã maiorē et reſiſtētiã ꝙ̄ ꝓportio
                    <lb/>
                  inṫ potētiã mīorē: et eandē reſiſtentiã in quã agūt et
                    <lb/>
                  maior et mīor potētia: et ex ↄ̨ñti in q̊libet tali tꝑe mi­
                    <lb/>
                  norē latitudinē motꝰ alteratõis deꝑdit potētia ma­
                    <lb/>
                  ior ꝙ̄ data potētia mīor: et ſic q̈uis potētia altera-
                    <lb/>
                  tiua īuariata alterante paſſū .etc. oīs poña maior
                    <lb/>
                  īuariata alterãs idē paſſū cū cremēto reſiſtentie ꝑ
                    <lb/>
                  actionē potētie augmētantꝪ reſiſtentiã ceteris de-
                    <lb/>
                  ductis tardiꝰ in q̊uis tꝑe termīato ad priucipiū al­
                    <lb/>
                  terationis remittit ſuū motū alterationis / qḋ fuit
                    <lb/>
                  ꝓbandū. </s>
                  <s xml:id="N26907" xml:space="preserve">Et eodē modo probat̄̄ eſt ſecunda pars.</s>
                </p>
                <p xml:id="N2690A">
                  <s xml:id="N2690B" xml:space="preserve">Quīta ↄ̨̨cluſio. </s>
                  <s xml:id="N2690E" xml:space="preserve">Ubicū due potentie
                    <lb/>
                  alteratiue īuariate hñt eq̈les ꝓportiones ad duas
                    <lb/>
                  reſiſtētias ineq̈les in quas īcipiūt agere eas corrū­
                    <lb/>
                  pēdo ceteris deduttis: ↄ̨tinuo mīor illaꝝ potētiaꝝ
                    <lb/>
                  velociꝰ alterabit corrūpēdo ſuã reſiſtētiã ꝙ̄ maior.
                    <lb/>
                  </s>
                  <s xml:id="N2691A" xml:space="preserve">Probat̄̄ / q2 poña maior īcipit tardiꝰ corrūpere ſuã
                    <lb/>
                  reſiſtentiã ꝙ̄ mīor īcipiat corrūpere ſuã: vtra cõti­
                    <lb/>
                  nuo agēte a maiori et maiori ꝓportiõe (vt cõſtat et
                    <lb/>
                  poſt̄ maior tardiꝰ corrūpit ſuã reſiſtentiã nun̄
                    <lb/>
                  īcipiet equaĺr' corrūpere, vel velociꝰ: igr̄ ↄ̨tinuo tar­
                    <lb/>
                  dius maior poña alterabit corrūpēdo ſuã reſiſten-
                    <lb/>
                  tiã ꝙ̄ mīor ſua: et ex ↄ̨ñti ↄ̨tinuo minor poña velociꝰ
                    <lb/>
                  alterabit corrūpēdo ſuã reſiſtentiã ꝙ̄ maior ſuam /
                    <lb/>
                  qḋ fuit ꝓbandū. </s>
                  <s xml:id="N2692D" xml:space="preserve">Cõſequētia ptꝫ, et argr̄ maior / q2
                    <lb/>
                  poña maior nõ īcipit eq̄ velociter corrūpere ſuã re-
                    <lb/>
                  ſiſtentiã ſicut mīor, nec velociꝰ et incipit: igr̄ incipit
                    <lb/>
                  tardiꝰ. </s>
                  <s xml:id="N26936" xml:space="preserve">Ptꝫ ↄ̨ña et ꝓbat̄̄ maior vcꝫ /  nõ īcipit eque
                    <lb/>
                  velociter: q2 ſi ſic ſequit̄̄ /  īmediate poſt īſtãs īitia­
                    <lb/>
                  tiuū alteratiõis ab eq̈li ꝓportiõe aget poña maior
                    <lb/>
                  in ſuã reſiſtentiã ſicut poña mīor (vt ↄ̨ſtat) / et ex ↄ̨ñti
                    <lb/>
                  qualis erit ꝓportio poñe maioris ad ſuã reſiſtētiã
                    <lb/>
                  talis erit ꝓportio mīoris ad ſuã reſiſtentiã: et ꝑ ↄ̨ñs
                    <lb/>
                  q̈lis eſt ꝓportio īmediate poſt inſtãs initiatiuū inṫ
                    <lb/>
                  potentiã maiorē et minorē (q̄ ſit f. / vt pono) talis eſt
                    <lb/>
                  īter reſiſtentiã poñe maioris ad reſiſtentiã potētie
                    <lb/>
                  mīoris vcꝫ f. / vt ptꝫ ꝑ locū a tranſmutata ꝓportione
                    <lb/>
                  et cū a principio alteratiõis et corruptionis illaruꝫ
                    <lb/>
                  duaꝰ reſiſtentiaꝝ īter datas reſiſtētias maiorē vcꝫ
                    <lb/>
                  in quã agit poña maior: et minorē in quã agit po-
                    <lb/>
                  tentia mīor ſit ꝓportio f. vt facile induci põt ꝑ locū
                    <lb/>
                  a ꝑmutata proportiõe: ſeq̇t̄̄ /  illud qḋ corruptū ē a
                    <lb/>
                  maiori reſiſtentia eſt in f. ꝓportione maiꝰ illo quod
                    <lb/>
                  corruptū eſt a reſiſtētia mīore: </s>
                  <s xml:id="N26959" xml:space="preserve">Conſequentia ptꝫ ex
                    <lb/>
                  primo correlario quīte ↄ̨cluſionis ſcḋi capitis ſcḋe
                    <lb/>
                  partis: et ex primo correlario q̈rte ↄ̨cluſiõis octa-
                    <lb/>
                  ui capitis eiuſdē partis. </s>
                  <s xml:id="N26962" xml:space="preserve">Nã et ſi illa correlaria lo-
                    <lb/>
                  quant̄̄ de termīs ↄ̨tinuo ſe habētibꝰ in eadē ꝓpor-
                    <lb/>
                  tione in qua ſe hñt in principio decremēti nichilo­
                    <lb/>
                  minꝰ demõſtratiões illoꝝ correlarioꝝ vĺr illud pro­
                    <lb/>
                  bãt ꝑ quocū inſtãti illi termiui ſe habeãt in eadē
                    <lb/>
                  proportione in qua ſe hñt in principio decrementi
                    <lb/>
                  </s>
                  <s xml:id="N26970" xml:space="preserve">Et ꝑ ↄ̨ñs īmediate poſt inſtãs īitiatiuū alteratiõis
                    <lb/>
                  poña maior in f. ꝓportiõe velocius agit corrūpēdo
                    <lb/>
                  ſuã reſiſtentiã ꝙ̄ poña minor. </s>
                  <s xml:id="N26977" xml:space="preserve">et ꝑ ↄ̨ñs nõ eq̈liter / qḋ
                    <lb/>
                  fuit ꝓbãdū. </s>
                  <s xml:id="N2697C" xml:space="preserve">Et ſi dicas /  ſtat  īmediate poſt hoc
                    <lb/>
                  poña maior corrūpat ſuã reſiſtentiã in f. ꝓportiõe
                    <lb/>
                  velociꝰ ꝙ̄ poña mīor, et etiã eque velociṫ' in diuerſis
                    <lb/>
                  partibꝰ tꝑis. </s>
                  <s xml:id="N26985" xml:space="preserve">Argr̄ hoc eſſe flm̄: q2 tūc ſeq̄ret̄̄ /  ſu-
                    <lb/>
                  bito ꝓportio maioris poñe ad ſuam reſiſtētiã q̄ eſt
                    <lb/>
                  eq̈lis ꝓportiõi mīoris potētie ad ſuã reſiſtentiã in </s>
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