Alvarus, Thomas, Liber de triplici motu, 1509

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                  <s xml:id="N199B4" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0099" n="99"/>
                  riori vel citeriori quam b. et a. continuo eſt equalis
                    <lb/>
                  ipſi b. et incipit ab eodē pūcto cū b. ſus idē pūctū
                    <lb/>
                  moueri per eandem reſiſtentiam .etc̈. / ergo eadē po-
                    <lb/>
                  tentia vel equalis eque cito tranſit aliquod totum
                    <lb/>
                  medium ſicut partem eius adequate / quod eſt īpoſſi­
                    <lb/>
                  bile. </s>
                  <s xml:id="N199CC" xml:space="preserve">Conſequentia patet / quia ſi a. eſt in puncto ci-
                    <lb/>
                  teriori quam b. et eſt equalis continuo ipſi b. etc̈. / ſe-
                    <lb/>
                  quitur /  in eodem tēpore in quo a. pertranſit ſpa-
                    <lb/>
                  cium interceptum inter punctum initiatiuum c. me­
                    <lb/>
                  dii a quo incipit motus et punctum in quo a. eſt in
                    <lb/>
                  inſtãti e, b. pertranſit totum illud ſpaciū pertran-
                    <lb/>
                  ſitum ab a. et inſuper partem illam per quam b. pre­
                    <lb/>
                  cedit a. / ergo ſi a. eſt in pūcto citeriori quam b. et eſt
                    <lb/>
                  equalis continuo ipſi b. etc̈. / ſequitur /  eadem po-
                    <lb/>
                  tentia vel equalis eque cito tranſit aliquod totum
                    <lb/>
                  medium ſicut eius partem adequate. </s>
                  <s xml:id="N199E3" xml:space="preserve">Et ſi a. ſit in vl­
                    <lb/>
                  teriori, et continuo eſt equalis ipſi b. etc̈. / ſequitur / 
                    <lb/>
                  in eodem tēpore adequate in quo b. pertranſit ade­
                    <lb/>
                  quate ſpacium interceptum inter punctum initia-
                    <lb/>
                  tiuum c. medii a quo incipit motus et punctū in quo
                    <lb/>
                  b. eſt in inſtanti e. ipſa a. potentia pertranſit totum
                    <lb/>
                  illud ſpacium pertranſitum ab ipſa potentia b. et
                    <lb/>
                  inſuper partem illam per quã ipſa potentia a. pre­
                    <lb/>
                  cedit potentiam b. / ergo ſi a. eſt in puncto vlteriori
                    <lb/>
                  quam b. et eſt continuo equalis ipſi b. etc̈. / ſequitur /
                    <lb/>
                   eadem potentia vel equalis eque cito tranſit ali-
                    <lb/>
                  quod totum medium, ſicut eius partem adequate.
                    <lb/>
                  </s>
                  <s xml:id="N199FD" xml:space="preserve">Iam probatur minor videlicet /  a. continuo eſt e-
                    <lb/>
                  qualis ipſi b. quia a. et b. in principio h. tēporis ſūt
                    <lb/>
                  equales, et tam a. quã b. in h. tempore continuo vni­
                    <lb/>
                  formiter remittitur vſ ad non gradum ſue poten­
                    <lb/>
                  tie: ergo continuo in h. tempore a. eſt equalis ipſi b.
                    <lb/>
                  </s>
                  <s xml:id="N19A09" xml:space="preserve">Conſequētia patet cum maiore: et probatur minor /
                    <lb/>
                  quia b. vniformiter remittit potentiam ſuam in h.
                    <lb/>
                  tempore ex correlario prime concluſionis, et ad nõ
                    <lb/>
                  gradum / vt patet ex correlario ſecunde cõcluſionis
                    <lb/>
                  et a. etiam in h. tempore cõtinuo vniformiter remit-
                    <lb/>
                  tit potentiam ſuam vſ ad non gradum: igitur tã
                    <lb/>
                  a. quam b. in h. tempore cõtinuo vniformiter remit-
                    <lb/>
                  titur vſ ad non gradum. </s>
                  <s xml:id="N19A1A" xml:space="preserve">Conſequētia patet cum
                    <lb/>
                  maiore, et probatur minor, quia g. tēpus eſt equale
                    <lb/>
                  ipſi h. (cum tam in g. quam in h. adequate pertran-
                    <lb/>
                  ſeatur c. ſpacium continuo ab f. proportione / vt fa-
                    <lb/>
                  cile deducitur ex hypotheſi) et a. potentia continuo
                    <lb/>
                  vniformiter et eque velociter remittit potentiam ſu­
                    <lb/>
                  am in tēpore in quo mouetur retrograde ab extre-
                    <lb/>
                  mo intenſiori ſicut antea in g. tempore intendebat
                    <lb/>
                  omnino: et h. eſt tempus a cuius principio incipit a.
                    <lb/>
                  potentia retrograde moueri: et remittere potentiã
                    <lb/>
                  ſuam / vt patet ex hypotheſi: igitur a. potentia vni-
                    <lb/>
                  formiter continuo remittit potentiam ſuam in h.
                    <lb/>
                  tempore vſ ad non gradum / quod fuit probandū.
                    <lb/>
                  </s>
                  <s xml:id="N19A36" xml:space="preserve">Et ſic patet concluſio.</s>
                </p>
                <note position="left" xml:id="N19A39" xml:space="preserve">1. correĺ.</note>
                <p xml:id="N19A3D">
                  <s xml:id="N19A3E" xml:space="preserve">¶ Ex hac concluſione ſequitur primo /  ſi talis po-
                    <lb/>
                  tentia que ſic vniformiter cõtinuo mouens, pertrã-
                    <lb/>
                  ſit illam reſiſtentiam vniformiter difformē incipi-
                    <lb/>
                  endo ab extremo remiſſiori ↄ̨tinuo vniformiter in-
                    <lb/>
                  tendendo potentiam ſuam, cum fuerit in termino
                    <lb/>
                  incipiat retrograde moueri ab extremo intenſiori
                    <lb/>
                  verſus remiſſius, vniformiter remittendo potentiã
                    <lb/>
                  ſuam, cõtinuo tamen tardius quam antea intende­
                    <lb/>
                  bat: ipſa potentia citius pertranſibit eandem reſi­
                    <lb/>
                  ſtentiam quam antea. </s>
                  <s xml:id="N19A53" xml:space="preserve">Probatur facile et ponatur /
                    <lb/>
                   per idem medium vniformiter difforme inuaria-
                    <lb/>
                  tum ad non gradum terminatum, moueantur due
                    <lb/>
                  potentie puta a. et b. creſcentes a non gradu conti-
                    <lb/>
                  nuo vniformiter et eque velociter, incipiendo in eo-
                    <lb/>
                  dem inſtanti ab extremo remiſſiori: et manifeſtum
                    <lb/>
                  eſt /  eque velociter continuo mouebuntur eque cito
                    <cb chead="Capitulū decimū."/>
                  idem medium abſoluentes: cum igitur fuerint in ex­
                    <lb/>
                  tremo ītēſiori īcipiãt ſimĺ in eodē īſtãti retrograde
                    <lb/>
                  moueri ab extremo ītēſiori ſus remiſſiꝰ: et vna pu­
                    <lb/>
                  ta a. vniformiter et eque velociter adeq̈te remittēte
                    <lb/>
                  continuo potentiam ſuam ſicut antea intendebat,
                    <lb/>
                  alia puta b. continuo tardius ſuam potentiam re-
                    <lb/>
                  mittat quam antea. </s>
                  <s xml:id="N19A71" xml:space="preserve">Quo poſito ſic arguit̄̄ ille due
                    <lb/>
                  potentie incipiunt in eodem inſtanti ab eodem pū-
                    <lb/>
                  cto moueri: et illa que tardius remittitur puta b. cõ­
                    <lb/>
                  tinuo erit maior altera (vt patet / quia modo ſunt e-
                    <lb/>
                  quales) et mouebuntur per eandem reſiſtentiã om-
                    <lb/>
                  nibus aliis impedimentis ſecluſis: igitur continuo
                    <lb/>
                  b. potentia que tardius remittit potentiam ſuam
                    <lb/>
                  precedit alteram et velocius ea mouetur, quia con-
                    <lb/>
                  tinuo erit maior, et in minori reſiſtentia, et per con-
                    <lb/>
                  ſequens citius deuenit ad terminum illius reſiſtē-
                    <lb/>
                  tie quam altera: et altera eque cito pertrãſit illam
                    <lb/>
                  ſicut antea / vt patet ex probatione precedentis con­
                    <lb/>
                  cluſionis: ergo illa que tardius continuo remittit
                    <lb/>
                  potentiam ſuam ꝙ̄ ãtea, citius pertranſit eandem
                    <lb/>
                  reſiſtentiam quam antea / quod fuit probanduꝫ. </s>
                  <s xml:id="N19A90" xml:space="preserve">Et
                    <lb/>
                  ſic patet correlarium
                    <note position="right" xlink:href="note-0099-01a" xlink:label="note-0099-01" xml:id="N19AC3" xml:space="preserve">2. correĺ.</note>
                  </s>
                  <s xml:id="N19A9A" xml:space="preserve">¶ Sequitur ſecundo /  b. po-
                    <lb/>
                  tentia que tardius remittitur altera / vt ponitur in
                    <lb/>
                  caſu precedentis correlarii: citius deuenit ad termi­
                    <lb/>
                  num illius medii quod retrograde pertranſit quã
                    <lb/>
                  ad non gradum remittatur. </s>
                  <s xml:id="N19AA5" xml:space="preserve">Patet correlarium / q2
                    <lb/>
                  b. citius deueniet ad terminuꝫ illius medii quã alia
                    <lb/>
                  potentia que velocius continuo remittitur: igitur
                    <lb/>
                  quando b. deuenerit ad terminum dicti medii, alia
                    <lb/>
                  potentia adhuc erit in puncto intrinſeco illius me-
                    <lb/>
                  dii: erit etiã aliqualis intenſionis, b. vero poten-
                    <lb/>
                  tia que continuo tardius remittitur pro tali inſtã-
                    <lb/>
                  ti maioris erit intenſionis: igitur b. potentia que
                    <lb/>
                  tardius remittitur citius deuenit ad terminū illius
                    <lb/>
                  medii / quod retrograde pertranſit ꝙ̄ ad non gra-
                    <lb/>
                  dum remittatur. </s>
                  <s xml:id="N19ABC" xml:space="preserve">Et ſic patet correlarium.</s>
                </p>
                <note position="right" xml:id="N19AC9" xml:space="preserve">3. correĺ.</note>
                <p xml:id="N19ACD">
                  <s xml:id="N19ACE" xml:space="preserve">¶ Sequitur tertio /  in caſu primi correlarii b. po-
                    <lb/>
                  tentia que continuo tardius remittitur: continuo
                    <lb/>
                  intendit motum ſuū. </s>
                  <s xml:id="N19AD5" xml:space="preserve">Probatur / quia continuo re-
                    <lb/>
                  ſiſtentia cum qua mouetur b. maiorem proportio-
                    <lb/>
                  nem deperdit quam ipſa potentia b. per ſui dimi-
                    <lb/>
                  nutionem: igitur continuo proportio inter b. potē-
                    <lb/>
                  tiam et reſiſtentiã cum qua mouetur augetur: et per
                    <lb/>
                  conſequens continuo b. potentia intendit motum
                    <lb/>
                  ſuum / quod fuit probandum. </s>
                  <s xml:id="N19AE4" xml:space="preserve">Conſequentia patet
                    <lb/>
                  ex ſecundo correlario ſecunde concluſionis octaui
                    <lb/>
                  capitis ſecunde partis / hoc addito /  reſiſtentia eſt
                    <lb/>
                  terminus minor, et potentia terminus maior. </s>
                  <s xml:id="N19AED" xml:space="preserve">Pro­
                    <lb/>
                  batur antecedens / quia reſiſtentia cum qua moue-
                    <lb/>
                  tur b. continuo maiorem proportionem deperdit
                    <lb/>
                  quam reſiſtentia cum qua mouetur a. et reſiſtentia
                    <lb/>
                  cum qua mouetur a. continuo equalem proportio-
                    <lb/>
                  nem deperdit ſicut ipſa potentia a. / vt patet ex ſecū­
                    <lb/>
                  da parte primi correlarii quarte concluſionis octa­
                    <lb/>
                  ui capitis preallegati </s>
                  <s xml:id="N19AFE" xml:space="preserve">(Continuo enim inter a. po-
                    <lb/>
                  tentiam et ſuam reſiſtentiã eſt eadem proportio, a.
                    <lb/>
                  et ſua reſiſtentia continuo deſcreſcentibus) et a. po-
                    <lb/>
                  tentia continuo maiorem proportionem deperdit
                    <lb/>
                  quam b. / vt patet ex ſecunda parte octaue ſuppoſi-
                    <lb/>
                  tionis quarti capitis ſecunde partis iuncto loco a
                    <lb/>
                  maiori (continuo enim a. potētia minor eſt ipſa b.
                    <lb/>
                  potentia: et continuo maiorem latitudinem deper-
                    <lb/>
                  dit / vt patet probatione primi correlarii huius) /
                    <lb/>
                  igitur continuo reſiſtentia cum qua mouetur b. ma­
                    <lb/>
                  iorem proportioneꝫ deperdit quam ipſa potentia
                    <lb/>
                  b. / quod erat probandum. </s>
                  <s xml:id="N19B17" xml:space="preserve">Patet hec conſequentia
                    <lb/>
                  per hoc /  quicquid eſt aliquo maius eſt quolibet
                    <lb/>
                  minori illo maius: hoc addito /  continuo propor­
                    <lb/>
                  tio deperdita a reſiſtentia ipſius b. eſt maior pro- </s>
                </p>
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