Alvarus, Thomas
,
Liber de triplici motu
,
1509
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De motu quo ad cauſã in medio non reſiſtente.
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incipit moueri continuo mouebitur et talis medie-
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tas eſt vniformis: igitur continuo vniformiter mo-
<
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uebitur: </
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<
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xml:space
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<
s
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xml:space
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">et argui-
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tur maior: et capio punctum / in quo eſt in medietate
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in qua incipit moueri in aliquo inſtanti temporis
<
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terminati ad inſtans initiatiuum motus per quod
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mouetur in illa medietate </
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<
s
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xml:space
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">(Totalis enim motꝰ quo
<
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illa potentia mouetur incipit ab aliqua velocitate
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proueniente a proportione quam habet potentia
<
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ad aliquem punctum intrinſecum illius medietatis
<
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vt ↄ̨ſtat e)x dictis / et arguo ſic / vel talis pūctus velo
<
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cius mouetur quam potentia: vel tardius: vel eque
<
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velociter: </
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>
<
s
xml:id
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xml:space
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preserve
">Si primum ſequitur / talis potentia nõ
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eſt in illo puncto quia inceperunt poña et talis pun
<
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ctus ab eodem puncto in eodem inſtanti etc. et poña
<
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mouebatur tardius puncto in quo ponitur eſſe: et
<
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potentia et punctus mouentur vniformiter: igitur.
<
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</
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<
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xml:space
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">Nec ſecundum puta tardius / quia tunc ſequere-
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tur / non eſt in illo puncto quoniam continuo ta-
<
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lis punctus mouetur tardius ꝙ̄ potentia, et incepe
<
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/>
runt in eodem inſtanti ab eodem puncto etc. / igitur
<
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dicendum eſt tertium puta / mouetur equaliter: et
<
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/>
per conſequens ſemper mouebitur cum illo pūcto
<
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et ſic ſemper erit in eadem medietate: quod fuit pro
<
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bandum. </
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<
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xml:space
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<
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xml:id
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xml:space
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">3. correl.</
note
>
<
p
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<
s
xml:id
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xml:space
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">¶ Sequitur tertio / vbicun aliqua latitudo reſi
<
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ſtētie difformiter difformis cuiꝰ multe ꝑtes ſūt vni
<
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/>
formes et nulla difformis ſecundum ſe et quodlibet
<
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/>
ſui a non quanto incipiat progredi partibiliter ꝑ
<
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medium non reſiſtens, quolibet eius puncto intrin
<
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ſeco continuo vniformiter mouente: omnis potētia
<
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/>
que cum tali reſiſtentia ab eodeꝫ puncto incipit mo
<
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ueri continuo vniformiter mouebitur. </
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>
<
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xml:space
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">Probatur /
<
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quia cum quacun illarum partium vniformium
<
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talis poña īcipit moueri: cū ea ſemꝑ mouebit̄̄: igit̄̄
<
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cõtinuo vniformiter mouebitur. </
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>
<
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xml:space
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">Conſequentia pa-
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patet arguitur antecedens / quoniam in quacū
<
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parte vniformi prīo mouetur cum illa continuo mo
<
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uetur: igitur propoſitum. </
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>
<
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xml:space
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">Probatur antecedens / q2
<
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dato aliquo inſtanti temporis per quod mouetur
<
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in tali parte in qua primo mouetur / arguitur ſic / vel
<
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punctus in quo in illo īſtanti eſt: mouetur velocius
<
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quam potentia: vel tardius: vel equaliter: </
s
>
<
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xml:space
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">Nõ pri-
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mum nec ſecundum / quod probatur ſicut in precedē
<
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ti correlario: igitur dicendum eſt tertium videlicet /
<
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/>
equaliter / et per conſequens / continuo mouebi-
<
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/>
tur in illa parte et in illo puncto et ſic continuo vni
<
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/>
formiter / quod fuit probandum. </
s
>
<
s
xml:id
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N1C044
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xml:space
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">¶ Intelligatur cor
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relarium dūmodo talis potētia ab aliqua certa ꝓ
<
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portione incipiat moueri. </
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<
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">Quia alias dabitur vna
<
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latitudo reſiſtentie in qua non dabitur (ſaltem di-
<
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/>
ceret aduerſarius) pars cum qua potentia incipit
<
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moueri </
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<
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xml:space
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">Imo quacun data dabitur aliqua magis
<
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reſiſtens cum qua antea mouebatur (vt diceret ad-
<
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/>
uerſarius) vt puta ſi alicuius latitudinis quelibet
<
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pars proportionalis certa proportione ſit vnifor-
<
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mis alia et alia vniformitate vſ ad equalitatē po
<
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tentie aſcendendo excluſiue.</
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">4. correl.</
note
>
<
p
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<
s
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xml:space
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">¶ Sequitur quarto / vbi potētia mouetur vt poni
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tur in caſu precedentis correlarii ipſa continuo eſt
<
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in eodem puncto </
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<
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">Probatur / quia non poteſt dici /
<
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punctus in quo potentia eſt moueatur velocius aut
<
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tardius ipſa / vt patet eſt probatione precedētis cor
<
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relarii / ergo mouetur equaliter / et per conſequens
<
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continuo eſt in illo / quod fuit probandum.</
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</
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<
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">5. correl.</
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>
<
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<
s
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xml:space
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">¶ Sequitur quinto / ſi in medio non reſiſtēte a nõ
<
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quanto progrediatur latititudo reſiſtentie ſic ſe ha
<
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/>
bens / cuiuſlibet partis eius proportionalis pro-
<
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/>
portione dupla minoribus terminatis verſus pun
<
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De motu quo ad cauſã in medio non reſiſtente.
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ctum quieſcens prima medietas ſic reſiſtat poñe vt
<
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8. quilibet eius punctus tardius moueatur ꝙ̄ po
<
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tentia ſufficit adequate moueri cum illo: et ſecunda
<
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medietas ſic eidem potentie reſiſtat quilibet eius
<
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punctus velociꝰ moueatur quã potentia ſufficit mo
<
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ueri cum illo: talis poña in eodem inſtanti cum illa
<
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reſiſtentia ab eodem puncto progrediens continuo
<
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cum tali reſiſtentia mouetur vniformiter. </
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>
<
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">Probatur /
<
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q2 talis poña cum illa reſiſtentia mouetur / vt patet /
<
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quia ad quemlibet punctum illius habet proportio
<
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nem maioris inequalitatis: et ab aliquo puncto ali
<
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/>
cuius partis proportionalis incipit moueri (vt con
<
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/>
ſtat) et continuo eſt ad punctum medium eiuſdeꝫ par
<
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tis proportionalis qui continuo mouetur vniformi
<
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ter: ergo continuo talis poña mouetur vniformiter /
<
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quod fuit probandum: </
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<
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">Patet cõſequentia cum ma
<
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iore: et minor videlicet / continuo eſt ad punctū me
<
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dium talis partis proportionalis probatur eodeꝫ
<
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modo ſicut probatur in argumento potentiã ſemꝑ
<
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eſſe in puncto medio reſiſtentie de qua fit mentio in
<
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caſu eiuſdem argumenti. </
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>
<
s
xml:id
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xml:space
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">eadem enim eſt probatio:
<
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patet ergo correlarium. </
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>
<
s
xml:id
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xml:space
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">¶ Et ſi dicas non eſt maior
<
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ratio / continuo ſit in puncto medio vnius partis
<
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proportionalis illius reſiſtētie quã alterius. </
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<
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">quia ī
<
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cuiuſlibet partis proportionalis puncto medio po
<
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terit ſic vniformiter moueri: ergo continuo eſt cum
<
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cuiuſlibet partis proportionalis puncto medio vel
<
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nullius. </
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>
<
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">Dico negando antecedens: imo deus illud
<
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determinat potius ſit in puncto medio vnius par
<
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tis proportionalis quam alteriꝰ: et volūtas ſua eſt
<
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ratio in propoſito.
<
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xml:id
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">regula.</
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</
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<
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">Oportet enim ſupponere hanc
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regulam in philoſophia.</
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</
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<
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">Ubicun aliqua potentia naturalis
<
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ex ſe eſt omnino indifferens ad aliqua multa, et nõ
<
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poteſt omnia illa ſimul:
<
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">phūs .12.
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met. tex.
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co. 38.</
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prima cauſa omnium rerū
<
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naturalium a qua dependet celuꝫ et natura tota (vt
<
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ait philoſophus duodecimo methaphiſices) illam
<
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potentiam ad alterum illorum ſua voluntate deter
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minat, et hoc ſecundum ordinem nature et concurſu
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generali operatur ipſe rerum omnium opifex. </
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<
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hec ſolutio extranea videatur quoniaꝫ oportet ita
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ſoluere argumentum defractione fili equalis forti
<
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tudinis in omnibus partibus ſuis:
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xml:space
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">pḣs 2. ce.
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et mun.</
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cuius meminit
<
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philoſophus ſecundo celi et mundi in calce. et argu
<
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mentum de introductione graduum caliditatis: et
<
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de productiõe luminis a cãdela: quare videlicet pri
<
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us produxit lumen a. in vna camera quã in altera
<
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cum prius illuminat vnam cameram, et poſtea alte
<
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ram. </
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<
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xml:space
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">Et hec ē comunis ſolutio in philoſophia: et p̄-
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cipue apud parrhiſienſes.</
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</
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<
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">Secundo ad idem arguitur ſic. </
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<
s
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">Si la
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titudo reſiſtentie vniformiter difformis poſſet ſic ꝓ
<
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gredi partibiliter quo ad ſubiectum tantum / vt di-
<
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citur in prīa ſuppoſitione: ſequeretur / etiam ipſa
<
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/>
manens vniformiter difformis continuo poſſet cõ-
<
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denſari ad non quantum ſubiecto eius quieſcente:
<
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ſed conſequens eſt falſum: igitur illud ex quo ſequi
<
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tur. </
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>
<
s
xml:id
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">Conſequentia eſt nota. </
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>
<
s
xml:id
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xml:space
="
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">Et arguitur falſitas cõ
<
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ſequentis / quia ſi ita poſſet condenſari manens con
<
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tinuo vniformiter difformis. </
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>
<
s
xml:id
="
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xml:space
="
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">ſequeretur / eadē po
<
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tentia vel equalis citius pertranſiret eandeꝫ vel eq̈
<
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/>
lem reſiſtentiam magis extenſam quam minꝰ exten
<
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ſam: ſed conſequēs eſt falſum / igitur illud ex quo ſe
<
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quitur </
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>
<
s
xml:id
="
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"
xml:space
="
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">Sequela tamen probatur: et capio duas la-
<
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titudines vniformiter difformes equales extenſiue
<
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et intenſiue omnino puta a quarto vſ ad non gra-
<
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dum extenſas per duo pedalia gratia exempli: et vo
<
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lo / in inſtanti a. ponatur vna potentia vt .8. in ex </
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>
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