Alvarus, Thomas, Liber de triplici motu, 1509

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                  <s xml:id="N1BB15" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0121" n="121"/>
                  aliqua proportione mota quin detur potentia que
                    <lb/>
                  ſufficit moueri eadem velocitate, et proportione
                    <lb/>
                  cū illa. </s>
                  <s xml:id="N1BB25" xml:space="preserve">Signetur / igitur in illa latitudine ſic mota
                    <lb/>
                  vnus punctus / et ponatur ad illum in hoc inſtanti
                    <lb/>
                  potentia b. que ita velociter ſufficit mouere cum il-
                    <lb/>
                  lo ſicut pro tali inſtanti mouetur talis pūctus: quo
                    <lb/>
                  poſito, arguitur ſic / b. intendet motum ſuum, cum
                    <lb/>
                  punctus ille in quo nunc ponitur īmediate poſt hoc
                    <lb/>
                  precedet b. quia punctus intendit continuo motum
                    <lb/>
                  ſuum et incipit velocius mouere ꝙ̄ b. ſufficit moue-
                    <lb/>
                  ri cum illo. </s>
                  <s xml:id="N1BB38" xml:space="preserve">Et nulla alia potentia ſufficit cum tali
                    <lb/>
                  gradu exiſtens in tali inſtanti tardius intēdere mo­
                    <lb/>
                  tum ſuum: igitur propoſitum, conſequentia patet
                    <lb/>
                  cum maiore, et minor probatur, quia ſi aliqua ſuf-
                    <lb/>
                  ficit tardiꝰ intēdere motū ſuū detur illa et ſit a. / et ar­
                    <lb/>
                  guo ſic / a. ſufficit tardius intendere motum ſuum ̄
                    <lb/>
                  b. / igitur ipſa eſt maior b. vel minor, vel equalis. </s>
                  <s xml:id="N1BB47" xml:space="preserve">Si
                    <lb/>
                  equalis iam non ſufficit tardius ſed equaliter. </s>
                  <s xml:id="N1BB4C" xml:space="preserve">Si
                    <lb/>
                  minor ſequitur /  non ſufficit tardius, ſed velocius /
                    <lb/>
                  vt patet ex quinta concluſione precedēti. </s>
                  <s xml:id="N1BB53" xml:space="preserve">Si maior
                    <lb/>
                  ſequitur /  talis potentia non intendit motum ſuū
                    <lb/>
                  ſed remittit q2 velociꝰ ſufficit moueri cū puncto da­
                    <lb/>
                  to ꝙ̄ datus punctus incipiat moueri et per aliquod
                    <lb/>
                  tempus cõtinuo remittet a. motum ſuū / quo ad vſ
                    <lb/>
                  ſit in aliquo puncto qui incipit ita velociter moue-
                    <lb/>
                  ri ſicut a. ſufficit moueri cum illo: et ſic nõ poteſt di­
                    <lb/>
                  ci /  a. tardius remittit motum ſuum ꝙ̄ b. cum non
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                  remittat incipiendo moueri ab illo puncto: patet
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                  ergo minor, et per conſequens correlarium.</s>
                </p>
                <note position="left" xml:id="N1BB7A" xml:space="preserve">2. correĺ</note>
                <p xml:id="N1BB7E">
                  <s xml:id="N1BB7F" xml:space="preserve">¶ Sequitur ſecundo /  latitudine ſic mota / vt dictū
                    <lb/>
                  eſt in quarta concluſione: ſignato quouis puncto
                    <lb/>
                  talis latitudinis ſic mote dabitur vna potētia que
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                  poſita in illo aliqualiter velociter intendit motum
                    <lb/>
                  ſuum: et nulla non equalis ei ſufficit ita velociter in­
                    <lb/>
                  tendere motum ſuum poſita in illo puncto pro eo-
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                  dem inſtanti. </s>
                  <s xml:id="N1BB8E" xml:space="preserve">Probatur facile / quia quocun pun-
                    <lb/>
                  cto dato dabitur vna potentia habens ad eū pro-
                    <lb/>
                  portionem equalitatis: ponatur ergo talis poten-
                    <lb/>
                  tia in illo puncto ſic intendente motum ſuum: et ma­
                    <lb/>
                  nifeſtum eſt /  talis punctus incipiet precedere po-
                    <lb/>
                  tentiã, cū potentia nõ ſufficiat moueri cum illo aut
                    <lb/>
                  illum precedere / vt conſtat, et ſic illa potentia conti-
                    <lb/>
                  nuo poſt illud inſtans intendet motum ſuū. </s>
                  <s xml:id="N1BB9F" xml:space="preserve">Et nul-
                    <lb/>
                  la alia potentia ſufficit velocius intendere motum
                    <lb/>
                  ſuum exiſtens pro eodem inſtanti in tali puncto ̄
                    <lb/>
                  illa data: igitur correlarium verum. </s>
                  <s xml:id="N1BBA8" xml:space="preserve">Conſequentia
                    <lb/>
                  patet cum maiore, et minor probatur: quia vel illa
                    <lb/>
                  q̄ ſufficit (ſi ſit aliqua .etc̈.) eſt maior data potētia vĺ
                    <lb/>
                  minor, vel equalis. </s>
                  <s xml:id="N1BBB1" xml:space="preserve">Si maior iam tardius intendit
                    <lb/>
                  ex quinta concluſione. </s>
                  <s xml:id="N1BBB6" xml:space="preserve">Si equalis illa non intēdet
                    <lb/>
                  velocius ſed equaliter. </s>
                  <s xml:id="N1BBBB" xml:space="preserve">Si minor ipſa nec intendit
                    <lb/>
                  nec remittit motum ſuum / quia ad infinita puncta
                    <lb/>
                  remiſſiora habet proportionem minoris inequali­
                    <lb/>
                  tatis / vt ptꝫ intelligenti naturam qualitatis vnifor­
                    <lb/>
                  miter difformis: patꝫ igitur /  nulla alia potentia
                    <lb/>
                  ſufficit velocius intendere motum exiſtens pro eo-
                    <lb/>
                  dem inſtanti in tali puncto ꝙ̄ alia data. </s>
                  <s xml:id="N1BBCA" xml:space="preserve">Patet er-
                    <lb/>
                  go minor: et per conſequens correlariū
                    <note position="left" xlink:href="note-0121-01a" xlink:label="note-0121-01" xml:id="N1BC1E" xml:space="preserve">3. correĺ.</note>
                  </s>
                  <s xml:id="N1BBD4" xml:space="preserve">¶ Sequitur
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                  tertio /  latitudine ſic mota / vt dictū eſt in ↄ̨cluſione
                    <lb/>
                  quouis puncto illius reſiſtentie dato dabiles ſunt
                    <lb/>
                  infinite potentie que in eodem inſtanti poſite in il-
                    <lb/>
                  lo puncto continuo intenderent motum ſuum. </s>
                  <s xml:id="N1BBDF" xml:space="preserve">Et in­
                    <lb/>
                  ter illas dabilis eſt vna que ita tarde incipit inten­
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                  dere motum ſuum  nulla tardius. </s>
                  <s xml:id="N1BBE6" xml:space="preserve">Et datur vna
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                  que ita velociter /  nulla velocius ſufficit intendere
                    <lb/>
                  in eodē inſtanti ab eodem puncto procedendo. </s>
                  <s xml:id="N1BBED" xml:space="preserve">Hoc
                    <lb/>
                  correlarium ex duobus precedentibus ſuam oſten-
                    <lb/>
                  ſionem accipit.
                    <note position="left" xlink:href="note-0121-02a" xlink:label="note-0121-02" xml:id="N1BC24" xml:space="preserve">4. correĺ.</note>
                  </s>
                  <s xml:id="N1BBF9" xml:space="preserve">¶ Sequitur quarto /  latitudine ſic
                    <lb/>
                  nota / vt dictum eſt in quinta concluſione: quocun
                    <cb chead="Capitulū quartūdecimū."/>
                  pūcto illius dato in quouis inſtanti temporis: da­
                    <lb/>
                  bitur minima velocitas a qua potentia certa in-
                    <lb/>
                  cipiens moueri a tali puncto pro eodē inſtanti ſuf-
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                  ficit intendere motum ſuum. </s>
                  <s xml:id="N1BC07" xml:space="preserve">Patet facile hoc cor-
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                  relariū ex primo correlario et ex eiꝰ caſu. </s>
                  <s xml:id="N1BC0C" xml:space="preserve">De b. em̄
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                  potentia verificatur preſens correlariū. </s>
                  <s xml:id="N1BC11" xml:space="preserve">¶ Et ſimi-
                    <lb/>
                  liter dabilis eſt maxima velocitas a qua potentia
                    <lb/>
                  certa incipiens moueri a tali puncto ſufficit inten-
                    <lb/>
                  dere motus ſuū: vt patet ex caſu ſecundi correlarii</s>
                </p>
                <p xml:id="N1BC2A">
                  <s xml:id="N1BC2B" xml:space="preserve">Sexta concluſio. </s>
                  <s xml:id="N1BC2E" xml:space="preserve">Datis duobus me-
                    <lb/>
                  diis non reſiſtentibus inequalibus per que exten-
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                  dantur due reſiſtentie equales intenſiue reſiſten-
                    <lb/>
                  tie vniformiter difformis quieſcente non gradu vĺ
                    <lb/>
                  remiſſiori extremo: et quilibet punctus latitudinis
                    <lb/>
                  que per maius medium extenditur in certa propor­
                    <lb/>
                  tione continuo velocius moueatur ꝙ̄ ſibi correſpõ­
                    <lb/>
                  dens punctus in medio minori: potentia poſita in
                    <lb/>
                  maiori medio ad vnum puuctum continuo velocius
                    <lb/>
                  mouebitur ꝙ̄ ſibi equalis poſita ad punctū ſibi cor­
                    <lb/>
                  reſpondens in minori medio: et hoc dūmodo tales
                    <lb/>
                  potentie intendãt motus ſuos. </s>
                  <s xml:id="N1BC47" xml:space="preserve">Probatur / quia po­
                    <lb/>
                  tentia in medio minori exiſtens non incipit moueri
                    <lb/>
                  equaliter cum potentia in maiori exiſtente, nec ve-
                    <lb/>
                  locius: igitur tardius: et per conſequens potentia
                    <lb/>
                  mouēs in maiori medio incipit velocius moueri ̄
                    <lb/>
                  potentia mouens in minori medio. </s>
                  <s xml:id="N1BC54" xml:space="preserve">Et poſt̄ velo-
                    <lb/>
                  cius mouetur ſemper velocius mouetur: ergo con-
                    <lb/>
                  tinuo potentia mota in maiori medio velocius mo­
                    <lb/>
                  uetur ꝙ̄ potentia mota in minori medio: quod fuit
                    <lb/>
                  probandum </s>
                  <s xml:id="N1BC5F" xml:space="preserve">Conſequentia ptꝫ: et probatur /  potē­
                    <lb/>
                  tia in minore medio exiſtēs nõ incipit moueri equa­
                    <lb/>
                  liter cum potentia in maiori medio exiſtente: quia
                    <lb/>
                  ſi incipit moueri equaliter per aliquod tempus ſe­
                    <lb/>
                  quitur /  per illud tempus continuo eque cito at-
                    <lb/>
                  tinget eam equalis reſiſtentia illi que attigit aliaꝫ
                    <lb/>
                  in medio maiori. </s>
                  <s xml:id="N1BC6E" xml:space="preserve">Sed conſequens eſt falſum: igitur
                    <lb/>
                  et antecedens. </s>
                  <s xml:id="N1BC73" xml:space="preserve">Cõſequentia patet: ſed falſitas cõſe-
                    <lb/>
                  quentis probatur / quia in aliqua certa ꝓportione
                    <lb/>
                  quilibet punctus inſequens potentiã in medio mi-
                    <lb/>
                  nori minus diſtat ab illa potētia quam inſequitur:
                    <lb/>
                  et in eadem proportione tardius mouetur cõtinuo
                    <lb/>
                  ̄ pūctus ſibi correſpõdens in medio maiori diſtet
                    <lb/>
                  a potentia quam inſequitur et etiam moueatur (vt
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                  patet caſum intuēti) / et potētia in medio minori ita
                    <lb/>
                  velociter mouetur recedendo a tali puncto ſicut po­
                    <lb/>
                  tentia in medio maiori fugit cõſimile punctū per te /
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                  igitur talis punctus citius attinget potentiam in
                    <lb/>
                  medio maiori ꝙ̄ cõſimilis punctus attingat aliam
                    <lb/>
                  potentiam in medio minori: et per cõſequens nõ cõ­
                    <lb/>
                  tinuo eque cito: quod eſt oppoſitum cõſequentis et
                    <lb/>
                  ſic illud cõſequens eſt falſum. </s>
                  <s xml:id="N1BC92" xml:space="preserve">Cõſequētia tamē ptꝫ
                    <lb/>
                  ex tertia ſuppoſitiõe: et eius correlario. </s>
                  <s xml:id="N1BC97" xml:space="preserve">Et per ideꝫ
                    <lb/>
                  ꝓbatur /  nõ incipit moueri velocius: quia tunc ſe-
                    <lb/>
                  queretur /  certus punctus citius attingeret eam ̄
                    <lb/>
                  ſibi ſimilis in maiori medio attingeret aliam. </s>
                  <s xml:id="N1BCA0" xml:space="preserve">Sed
                    <lb/>
                  hoc eſt falſum: quia quãdo potētia mouetur in mi-
                    <lb/>
                  nori medio equaliter cum alia mouente in maiori:
                    <lb/>
                  adhuc citius attingeret punctus potentiam in ma-
                    <lb/>
                  iori medio ꝙ̄ cõſimilis pūctus attingeret potentiã
                    <lb/>
                  in minori medio (vt ptꝫ ex probatione precedentis
                    <lb/>
                  partis) ergo per locum a maiori multo citius attin­
                    <lb/>
                  get potentiam in maiori medio quando potentia
                    <lb/>
                  in minori mouetur velocius ꝙ̄ potentia in maiori
                    <lb/>
                  medio. </s>
                  <s xml:id="N1BCB5" xml:space="preserve">Sed iam probo /  poſt̄ velocius mouetur
                    <lb/>
                  ſemper velocius mouetur quia iam nõ poteſt inci-
                    <lb/>
                  pere moueri equaliter ꝓcedendo ab equalibus pū­
                    <lb/>
                  ctis / vt ꝓbatū eſt: et modo mouetur velociꝰ et nõ põt
                    <lb/>
                  moueri tardiꝰ niſi prius moueat̄̄ equaliter: et nõ po­
                    <lb/>
                  teſt incipere moueri equaliter / vt ꝓbatum eſt: ergo </s>
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