Alvarus, Thomas, Liber de triplici motu, 1509

List of thumbnails

< >
221
221 		222
222
223
223 		224
224
225
225 		226
226
227
227 		228
228
229
229 		230
230
< >
page |< < of 290 > >|
    <echo version="1.0">
      <text xml:lang="la">
        <div xml:id="N10132" level="1" n="1" type="body">
          <div xml:id="N15C17" level="2" n="3" type="other" type-free="pars">
            <div xml:id="N25905" level="3" n="4" type="other" type-free="tractatus">
              <div xml:id="N25911" level="4" n="1" type="chapter" type-free="capitulum">
                <pb chead="Quarti Tractatus" file="0223" n="223"/>
                <p xml:id="N2601C">
                  <s xml:id="N2601D" xml:space="preserve">Quinto pricipaliter arguitur ſic. </s>
                  <s xml:id="N26020" xml:space="preserve">Si
                    <lb/>
                  queſtio eēt vera / ſeq̇retur /  vbicū aliqua ponã al­
                    <lb/>
                  teratīa et ſua reſiſtētia incipiūt a nõ gradu põne et
                    <lb/>
                  teſiſtētie vniformiter ↄ̨tinuo augeri ponã alteratiã
                    <lb/>
                  cõtinuo velocius creſcēte ſua reſiſtēti: a ip̄a ponã al­
                    <lb/>
                  teratiã ↄ̨tinuo vniformiter alterabit: ſꝫ ↄ̨ñs eſt fĺm /
                    <lb/>
                  igit̄̄ ex quo ſequit̄̄ </s>
                  <s xml:id="N2602F" xml:space="preserve">Seq̄la ꝓbat̄̄ / ſit a. ponã alteratiã
                    <lb/>
                  et .c. reſiſtētia q̄ vniformiter incipiãt creſcere a non
                    <lb/>
                  gradu ī iſtã a. ponã alteratiã ↄ̨tinuo ī f. ꝓportiõe ve­
                    <lb/>
                  locius creſcēte ꝙ̄ ip̄a c. reſiſtētia. </s>
                  <s xml:id="N26038" xml:space="preserve">Et tūc arguit̄̄ a. po­
                    <lb/>
                  nam cõtinuo vniformiter alterare: q2 cõtinuo ſe ha­
                    <lb/>
                  bebit in f. ꝓportiõe ad c. reſiſtētiã: igit̄̄ cõtinuo alte­
                    <lb/>
                  rabit ab f. ꝓportiõe: et per ↄ̨ñs cõtinuo vniformiter
                    <lb/>
                  </s>
                  <s xml:id="N26042" xml:space="preserve">Cõſequētia pꝫ: et probatur añs: q2 quocū inſtanti
                    <lb/>
                  dato in toto precedēti tēpore creuit a. ponã in f. ꝓ-
                    <lb/>
                  portiõe velocius a nõ gradu ꝙ̄ c. reſiſtētia: igit̄̄ ī illo
                    <lb/>
                  tēpore adequate in f. ꝓportione maiorē latitudinē
                    <lb/>
                  acq̇ſiuit a non gradu ꝙ̄ c. reſiſtētia: et ꝑ ↄ̨ñs in quoli­
                    <lb/>
                  bet tĺi inſtanti ipſa a. ponã alteratiã eſt in f. ꝓpor-
                    <lb/>
                  tione maior ꝙ̄ ip̄a c. reſiſtētia: et ſic cõtinuo ſe habe­
                    <lb/>
                  bit in f. proportiõe ad c. reſiſtētiã / quod fuit ꝓbandum
                    <lb/>
                  </s>
                  <s xml:id="N26054" xml:space="preserve">Iam arguit̄̄ falſitas ↄ̨ñtis: q2 tunc ſequeret̄̄ /  vbi-
                    <lb/>
                  cū aliqua ponã alteratiã ita alterat vniformiter
                    <lb/>
                  per ſui vniforme cremētū a nõ gradu ponã etc̈. / vt di­
                    <lb/>
                  ctū eſt: oīs minor ſufficiēs alterare eandē c. reſiſten­
                    <lb/>
                  tiã vniformiter cõtinuo creſcens cū ipſa ponã a. cõ-
                    <lb/>
                  tinuo intēdit motū ſuū alteratiõis: et oīs maior cõ-
                    <lb/>
                  tinuo remittit: ſꝫ ↄ̨ñs videt̄̄ falſuꝫ: igit̄̄ illud ex quo
                    <lb/>
                  ſequit̄̄. </s>
                  <s xml:id="N26065" xml:space="preserve">Sequela ꝓbat̄̄ / et ſit b. illa ponã minor ipſa
                    <lb/>
                  a. ponã et vniformiter cõtinuo et eque velociter cre-
                    <lb/>
                  ſcens cū a. et tamē a certo gradu / et arguit̄̄ /  ↄ̨tinuo
                    <lb/>
                  ꝓportio inter b. põnam et c. reſiſtētiã auget̄̄. </s>
                  <s xml:id="N2606E" xml:space="preserve">et ꝑ con­
                    <lb/>
                  ſequēs cõtinuo b. intēdit motum ſuū alterationis.
                    <lb/>
                  </s>
                  <s xml:id="N26074" xml:space="preserve">Cõſequētia pꝫ: et ꝓbatur añs: quia continuo b. ma­
                    <lb/>
                  iorem ꝓportionē acq̇rit ꝙ̄ c. reſiſtētia: igit̄̄ cõtinuo
                    <lb/>
                  proportio inter b. põnã: et c. reſiſtētiam auget̄̄. </s>
                  <s xml:id="N2607B" xml:space="preserve">Ptꝫ
                    <lb/>
                  ↄ̨ſequētia ex primo correlario ſecunde cõcluſionis
                    <lb/>
                  octaui capitis ſecunde partis: et añs probat̄̄ / q2 cõ­
                    <lb/>
                  tinuo a. acq̇rit tãta ̄ta c. / vt pꝫ ex primo correlario
                    <lb/>
                  quarte cõcluſionis octaui capitis preallegati. </s>
                  <s xml:id="N26086" xml:space="preserve">Nã
                    <lb/>
                  inter a. et c. creſcētes cõtinuo manet eadem propor­
                    <lb/>
                  tio puta f. ꝑ te et b. cõtinuo maiorē proportionem
                    <lb/>
                  acquirit ꝙ̄ a. / vt patet ex octaua ſuppõne quarti ca­
                    <lb/>
                  pitis ſecūde partis (continuo em̄ tantam latitudi-
                    <lb/>
                  nē ponē acquirit b. ponã minor ſicut a. maior) / igit̄̄
                    <lb/>
                  continuo b. maiorē proportionē acquirit ꝙ̄ c. reſi-
                    <lb/>
                  ſtētia / qḋ fuit probandū. </s>
                  <s xml:id="N26097" xml:space="preserve">Et eadē ꝓbatiõe ꝓbabis / 
                    <lb/>
                  oīs ponã alteratiã maior continuo vniformiter et
                    <lb/>
                  eque velociter creſcens ſicut a cõtinuo remittit ſuū
                    <lb/>
                  motū alteratiõis: cū continuo mīorē ꝓportionē ac-
                    <lb/>
                  quirat ex octaua ſuppõne preallegata ꝙ̄ a. et ꝑ ↄ̨ñs
                    <lb/>
                  minorē ꝙ̄ c. reſiſtētia: et ſic cõtinuo ꝓportio inter b.
                    <lb/>
                  et c. diminuitur: vt pꝫ ex ſecūda parte primi correla­
                    <lb/>
                  rii tertie ↄ̨cluſiõis octaui capitis preallegati.</s>
                </p>
                <p xml:id="N260A8">
                  <s xml:id="N260A9" xml:space="preserve">Sexto principaliter arguitur ſic </s>
                  <s xml:id="N260AC" xml:space="preserve">Si
                    <lb/>
                  queſtio eſſet s: ſeq̇retur aliquod alterans ꝑ infini­
                    <lb/>
                  tam alterationē in determinato tꝑe ꝓducere finitã
                    <lb/>
                  qualitatē: ſꝫ ↄ̨ñs eſt falſum: igit̄̄ ex quo ſequit̄̄. </s>
                  <s xml:id="N260B5" xml:space="preserve">Seq̄­
                    <lb/>
                  la ꝓbatur: et volo /  diuidat̄̄ hora ꝑ partes propor­
                    <lb/>
                  tionales ꝓportione dupla: et a. alterans in prima
                    <lb/>
                  parte proportionali alteret b. paſſuꝫ ꝓducēdo qua­
                    <lb/>
                  litatē aliquãtulū velociter: et in ſecūda in duplo ve­
                    <lb/>
                  lociꝰ et ī tertia ī triplo velociꝰ ꝙ̄ in prima: et ī quar­
                    <lb/>
                  ta in quadruplo velociꝰ ꝙ̄ ī ṗma: et ſic ↄ̨ñter ꝓcedē­
                    <lb/>
                  do ſeratim ꝑ oēs ſpēs ꝓportiõis mĺtiplicis. </s>
                  <s xml:id="N260C6" xml:space="preserve">Quo
                    <lb/>
                  poſito ſic argumētor a. alterãs īfinite velociṫ alte-
                    <lb/>
                  rat b. paſſū ī illa hora: q2 aliquãtulū velociṫ: et ī du­
                    <cb chead="Capi. primum"/>
                  plo: et in triplo: et ſic in īfinitū: vt pꝫ ex caſu: et ſolū in
                    <lb/>
                  illa hora ꝓducit q̈litatē finitã: igit̄̄ aſſumptū verū.
                    <lb/>
                  </s>
                  <s xml:id="N260D3" xml:space="preserve">Probat̄̄ minor: et pono argumēti gr̄a /  a. in ṗma
                    <lb/>
                  parte ꝓportionali hore mediãte motu alteratiõis
                    <lb/>
                  ꝓducat vnū gradū q̈litatis (loquor de gradibꝰ en-
                    <lb/>
                  titatis for̄e ſꝑ ī hoc maṫia et manifeſtū e  mediãte
                    <lb/>
                  tali motu alteratiõis ꝑ totã horã extenſo ſiue cõti-
                    <lb/>
                  nuato a. ꝓducit duos gradus qualitatis: g̊ mediã-
                    <lb/>
                  te totali illa velocitate difformi adequate ī illa ho-
                    <lb/>
                  ra ꝓducit q̈tuor gradus forme: et ꝑ ↄ̨ñs finitã formã
                    <lb/>
                  qualitatis / qḋ fuit ꝓbandū. </s>
                  <s xml:id="N260E6" xml:space="preserve">Cõſequētia et deductio
                    <lb/>
                  pꝫ ex ſcḋa cõcluſiõe tertii capitis ſcḋi tractatꝰ: et ex
                    <lb/>
                  tertio argumēto eiuſdē capitis.
                    <note position="right" xlink:href="note-0223-01a" xlink:label="note-0223-01" xml:id="N2615D" xml:space="preserve">Dicitur</note>
                  </s>
                  <s xml:id="N260F2" xml:space="preserve">¶ Dices et bñ ↄ̨cedē­
                    <lb/>
                  do illatū: nec illud eſt incõueniēs capiēdo ly īfinitū
                    <lb/>
                  ſyncathegorematice: et capiēdo ly alterationē ꝓ al­
                    <lb/>
                  teratiõe ꝑtiali. </s>
                  <s xml:id="N260FB" xml:space="preserve">Nã ly determīato tꝑe ſtat ↄ̨fuſe tm̄
                    <lb/>
                  </s>
                  <s xml:id="N260FF" xml:space="preserve">Quare aliqḋ alterãs ꝑ infinitã alterationē ꝑ aliqḋ
                    <lb/>
                  tp̄s ꝓducit ſolū q̈litatē finitã ̄uis ꝑ nullū tp̄s ꝑ in­
                    <lb/>
                  finita alteratiõeꝫ ꝓducat q̈litatē ſolū finitã. </s>
                  <s xml:id="N26106" xml:space="preserve">In ꝓpo­
                    <lb/>
                  ſito eī tota illa velocitas alteratiõis ē finita corrñ­
                    <lb/>
                  des velocitati / q̄ eſt ī ſcḋa ꝑte ꝓportionali tꝑis / vt ſu­
                    <lb/>
                  pra dictū ē de velocitate motꝰ localis q̊ ad effectum
                    <lb/>
                  loco p̄allegato. </s>
                  <s xml:id="N26111" xml:space="preserve">Sꝫ ↄ̈ / q2 tunc ſeq̄ret̄̄ /  ſi aliqḋ alte-
                    <lb/>
                  rans alteraret aliqḋ paſſuꝫ aliquãtula velocitate ī
                    <lb/>
                  prīa ꝑte ꝓportionali hore diuiſe ꝑ partes ꝓportio­
                    <lb/>
                  nales ꝓportiõe ſexq̇tertia: et in ſcḋa ꝑte ꝓportiona­
                    <lb/>
                  li alteraret in ſexq̇altero velocius: et in tertia ī ſexq̇­
                    <lb/>
                  altero velociꝰ ꝙ̄ in ſcḋa: et ſic ↄ̨ñter in q̈libet ſequēti
                    <lb/>
                  in ſexq̇altero velocius ꝙ̄ in īmediate p̄cedēti: tūc il-
                    <lb/>
                  lud alterãs ſolū finite velociter alteraret ī tota illa
                    <lb/>
                  hora: finitã qualitatē adequate ī illa hora ꝓduce­
                    <lb/>
                  ret: ſꝫ ↄ̨ñs eſt falſuꝫ: igit̄̄ illud ex q̊ ſequit̄̄. </s>
                  <s xml:id="N26126" xml:space="preserve">Seq̄la ꝓ-
                    <lb/>
                  batur: q2 ſi hora eēt diuiſa ꝑ partes ꝓportionales
                    <lb/>
                  ꝓportiõe dupla: et illud alterãs alteraret in q̈libet
                    <lb/>
                  parte ꝓportionali ſeq̄nti in ſexq̇altero velociꝰ ꝙ̄ in
                    <lb/>
                  īmediate p̄cedēti: tūc tota illa velocitas alteratõis
                    <lb/>
                  adequate eſſet finita et finita qualitas mediãte ta-
                    <lb/>
                  li alteratione in illa hora adeq̈te ꝓduceret̄̄ / vt patꝫ
                    <lb/>
                  ex ſeptīa ↄ̨cluſiõe tertii capitis .2. tractatꝰ. </s>
                  <s xml:id="N26137" xml:space="preserve">igit̄̄ ī ca­
                    <lb/>
                  ſu propoſito pari rõe finita qualilas adequate ꝓ-
                    <lb/>
                  ducit̄̄ mediãte illa totali alteratiõe in hora adeq̈te
                    <lb/>
                  </s>
                  <s xml:id="N2613F" xml:space="preserve">Sꝫ falſitas ↄ̨ñtis facile oñdit̄̄ ex ſexta cõcluſione .3.
                    <lb/>
                  capitis preallegati. </s>
                  <s xml:id="N26144" xml:space="preserve">hoc addito /  qualitas ꝓducta
                    <lb/>
                  in propoſito eſt ibi ſpacium pertranſitum. </s>
                  <s xml:id="N26149" xml:space="preserve">¶ Huic
                    <lb/>
                  propoſito poteris applicare ſecūdū: tertiū: et quar­
                    <lb/>
                  tum argumeutū tertii capitis ſecūdi tractatꝰ. </s>
                  <s xml:id="N26150" xml:space="preserve">Ap-
                    <lb/>
                  plica etiã imaginationē ordinū partiū proportio­
                    <lb/>
                  naliū iuxta doctrinam prime et ſecūde cõcluſionem
                    <lb/>
                  ſeptimi capitis prime partis.</s>
                </p>
                <p xml:id="N26163">
                  <s xml:id="N26164" xml:space="preserve">Septimo principaliter arguitur ſic.
                    <lb/>
                  </s>
                  <s xml:id="N26168" xml:space="preserve">q2 ſi queſtio eēt a: ſeq̇retur /  qḋlibet alterãs ali-
                    <lb/>
                  quã reſiſtētiã a maiori proportiõe velocius altera-
                    <lb/>
                  ret q̊libet alterãte eãdē reſiſtētiã a minori propor-
                    <lb/>
                  tiõe: ſꝫ ↄ̨ñs eſt falſam: igit̄̄ illud ex q̊ ſeq̇tur. </s>
                  <s xml:id="N26171" xml:space="preserve">Seq̄la
                    <lb/>
                  patꝫ: et falſitas ↄ̨ñtis arguit̄̄: q2 qḋlibet alterãs ali­
                    <lb/>
                  quã reſiſtētiã a certa ꝓportiõe difficiliꝰ agit q̊libet
                    <lb/>
                  alterãte eãdem reſtētiã a mīori ꝓportiõe: igit̄̄ qḋlꝫ
                    <lb/>
                  alterans aliquã quolibet alterãte eandē reſiſtentiã
                    <lb/>
                  a minori proportiõe. </s>
                  <s xml:id="N2617E" xml:space="preserve">Patꝫ hec ↄ̨ña: q2 omīs pona
                    <lb/>
                  difficilius agens ſiue ꝓducēs aliquid tardius il-
                    <lb/>
                  lud agit ſiue producit. </s>
                  <s xml:id="N26185" xml:space="preserve">Et probatur añs: et ſit a. po-
                    <lb/>
                  nã alterãs c. reſiſtentiã ab f. proportiõe: et b. pona
                    <lb/>
                  alterans eandē c. reſiſtentiã ab .h. proportione mi-
                    <lb/>
                  nori: et arguitur /  a. difficilius agit ſiue alterat c.
                    <lb/>
                  reſiſtētiã ꝙ̄ b: q2 difficultas actõis ip̄ius a. ē maior
                    <lb/>
                  ̄ difficultas actõis ipſiꝰ b. / igr̄ a. difficiliꝰ agit ꝙ̄ b.
                    <lb/>
                  </s>
                  <s xml:id="N26193" xml:space="preserve"/>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum