Alvarus, Thomas
,
Liber de triplici motu
,
1509
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Secundi tractatus
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ciat et ſine tali preſpectione et preſcrutatione nõ po
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terit ſpacium pertranſitum in totali tempore meti
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ri: conſequens igitur erit / in tali caſu nequit certi
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tudinaliter reſponſionem ferre </
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<
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xml:space
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">Et ſic patet ꝓpoſi-
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tio. </
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<
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xml:space
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">Credo tamen animas ſeparatas a corpore et in
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telligentias in imꝑſpecto tempore omīa iſta cogno
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ſcere </
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>
<
s
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xml:space
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">Ceſſet / igitur dolor querulantium et non putat
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homo ſua terminus clauſa intelligentia et finita ca
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pacitate vniuerſalem rerum naturalium amplitu-
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dineꝫ difformes monſtruoſaſ motiones amplecti
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at comprehendere. </
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<
s
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xml:space
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">Hoc enim valde difficile eſt ꝑ-
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inde at infinitam magnitudinem finito loco ꝑſtrī
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gere
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xml:space
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ſtes .1. ca.</
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<
s
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xml:space
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">Quare non abs re ſapientiſſimus ille ſalomõ
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rerum naturalium difformes motus animo reuol-
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ueus res naturales quo ad ſui motiones cognitu
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difficiles cenſuit ecclaſiaſtes primo capite inquiēs
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</
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<
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xml:space
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">Cunte res difficiles: non poteſt eas homo explica
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re ſermone quare non ſatiatur oculus viſu nec au
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ris auditu
<
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xml:id
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xml:space
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">hugo car
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di.</
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>
</
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<
s
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xml:space
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">Quam ſententiã pertractans hugo car
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dinalis inquit explicat ecclaſiaſtes quam in explica
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bilis ſit rerum naturalium mitabilitas dicēs cun-
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ctas res naturales difficiles eſſe tū ad ītelligendū
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tū ēt ad explicãdū </
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>
<
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xml:space
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">Nec eī nūerari poſſūt mĺtitudīe
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nec ↄ̨p̄hendi quãtitate: nec inueſtigari queunt ꝓfun
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ditate </
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>
<
s
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="
N20326
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xml:space
="
preserve
">Et ſubdit infirmitati noſtri intellectus cõdo
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lens. </
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>
<
s
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xml:space
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">Quantis ergo tenebris homo inuoluit̄̄: quan
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ta ignorantie cecitate humanus ſenſus coartatur /
<
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vt vix pauca etiam ſecundum ſuperficiem attinge-
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re poteſt qui ſi ſingula ſecundū exteriorē ſpē3 cerne
<
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ret: vim lateutem, naturam inuiſibilem rerū nul-
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latenus penetraret. </
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>
<
s
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="
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xml:space
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">Uniuerſitas igitur rerum om-
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nino hoī incõp̄hēſibilis et m exteriorē ſpē3 ē et m ī
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terioreꝫ qualitatē </
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>
<
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">Hec ille </
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<
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xml:space
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">Quare non ſolum in p̄-
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dictis caſibus non valet infallibiliter adequatum
<
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ſpacium tali velocite difformi pertranſitum inue-
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niri (quãuis de facto ſit aliquod adequatum ſpaci
<
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um / quod adequate pertranſitur) verumetiam ī no
<
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tioribus aliis caſibus talis ſpacii certitudo cecutiē
<
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tibus nobis in hoc ſeculo non valet reperiri: et certi
<
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tudinaliter metiri: vt ſi quiſpiam ponat / partita
<
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hora per partes ꝓportionales proportione dupla
<
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mobile in prima parte ꝓportionali aliquantū ve-
<
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lociter mouatur, et in ſecunda in ſexquialtero velo
<
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cius et in tertia in ſexquiquinto et in quarta in ſexq̇
<
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octauo ꝙ̄ in prima. / et ſic conſequenter procedendo
<
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per ſpecies proportionis ſuperparticularis inter
<
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ſcalariter continuo duos omittendo. </
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>
<
s
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xml:space
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">Item ſi diui-
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ſa hora per partes ꝓportionales ꝓportione tripla
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a. mobile in prima parte proportionali moueatur
<
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aliquãtulum: et in ſecunda in ſexquiquinto velocius
<
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et in tertia in ſexquinono velocius ꝙ̄ in prima, et in
<
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quarta in ſexquitridecimo velocius ꝙ̄ ī prima et in
<
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quinta in ſexdecimo ſeptimo velocius ꝙ̄ in prima /
<
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et ſic conſequenter procedendo per ſpecies propor-
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tionis ſuperparticularis continuo omittendo tres
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</
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<
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</
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<
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">Item omittendo continuo quin et .6. et .7. / et ſic cõ
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ſequenter: infinite dabuntur velocitates difformes
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quarum vniformitas a nobis nequā naturaliter
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reperiri poteſt. </
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<
s
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">Deinde diuiſa hora per partes ꝓ-
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portionales ꝓportione quadrupla. </
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<
s
xml:id
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xml:space
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">et in prima par
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te ꝓportionali moueatur a. mobile aliquantū velo
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citer: et in ſecunda in duplo ſexquialtero velocius: et
<
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in tertia in ſupertripartiente quartas velocius ꝙ̄ ī
<
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prima: et in quarta in ſexquialtero velocius ꝙ̄ in ṗ
<
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ma et in quinta in triplo velocius ꝙ̄ in prima: et ī ſex
<
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ta in dupla ſexquiſexto velocius ꝙ̄ in prima / et ſic cõ
<
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ſequenter ꝑmiſcendo ſeriatim ſpecies diuerſorum
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generum proportionis. </
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<
s
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xml:space
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">¶ Ex his ſatis facile appa
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Capitulum tertium
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ret multa talia nobis incomprehenſibilia eſſe. </
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tamen propterea hec ars reiicienda eſt: quoniã et ſi
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infinita ſint nobis incomprehēſibilia: infinita etiã
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mathematica demonſtratione valent a nobis infal
<
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libiliter demonſtrari. </
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<
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">puta ea que continuum ordi-
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nem alicuius ꝓportionis obſeruant vt ſuperius di
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ctum eſt </
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ita nullis regulis ſcientie aſtringi valent
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<
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xml:space
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">¶Hic ta-
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men vnum aduertendum eſt / plerun homo arbi
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trabitur nullam eſſe ſeriem aut ordinem proportio
<
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num in aliquo caſu ſibi propoſito: nihilominꝰ ma
<
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turius et diutius conſideranti occurret talis ordo.
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</
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<
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">ſicut in caſu quarte concluſionis non apparet ali-
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quis ordo alicuius ꝓportionis continue: nihilomi
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nus ibi reperitur continuo equalitas velocitatū in
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partibus inequalibus.
<
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">Queſtio</
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</
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<
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xml:space
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">¶ Sed petes / q̇d igitur calcu
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latori proponenti tales caſus in publica et celebri
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litteraria paleſtra reſpondendum ſit.</
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</
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<
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">horen.</
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<
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">Reſpondeo ponendo / quandam ꝓpo-
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ſitionem quã ponit doctiſſimus ꝓportionū indaga
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tor magiſter nicholaus horen. </
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<
s
xml:id
="
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xml:space
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">¶ Ubicun occurrit
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multiplicitas ꝓportionum inṫ quas facile nõ repe
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ritur proportio cenſendum eſt multas earum irra-
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tionales eſſe ad inuicem, quare et ſpacia pertranſi
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ta irrationalia eſſe </
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<
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xml:space
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">Qua propter cuꝫ talis caſus ꝓ
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ponitur reſpondendum eſt ſpacium pertranſitū in
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tota hora incõmenſurabile eſſe ſpacio pertranſito
<
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in prima parte ꝓportionali. </
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>
<
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xml:space
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">¶ Sed dices īſtabit ta
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men totis viribus illiberalis at acerrimus calcu
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lator: grandia verba trutinando inflata bucca:
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ſupercilio eleuato: rugata fronte: at ore tragi-
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co: rationem ſuam inſolubilem perſonabit, multiſ
<
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clamoribus reſpondentem vulgo ſuperatum at
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deuictum nitetur oſtendere.</
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</
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<
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">Reſpondeo / in ſimili negocio dupli-
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ci cautela vtendum cenſeo </
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<
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xml:space
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">¶ Prima pro delubrio et
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ridiculo habeatur argumentum eius tan̄ inutile
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et intelligibile petatur calamus et atramentariū /
<
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vt ſpecie multiplicationis ceteriſ algoriſmi ſpe-
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ciebꝰ calculari valeat velocitatis ītēſio in caſu ꝑ eū
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poſito. </
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<
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">¶ Secunda cautela </
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<
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">Dicatur breuiter arguē
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ti / talis velocitas non poteſt infallibiliter et certi
<
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tudinaliter calculari perinde at multe alie diffor
<
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mes velocitates non valent naturaliter ad vnifor-
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mitatem reduci. </
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<
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xml:space
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">Et ſi clamoribus velit reſponden-
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tem expugnare oppoſitum aſſeuerendo: proponat
<
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ei reſpondens ſimilem caſum et dicat ei vt certificet
<
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illi de ſpacio pertranſito adequato mediante tali
<
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velocitate difformi. </
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>
<
s
xml:id
="
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xml:space
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">Et ſi dixerit / non eſt poſſibile
<
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naturaliter inuenire velocitatem adequatam in ta
<
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li caſu: ſubiungat reſpondens / nec in ſuo ſimiliter
<
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pari ratione. </
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>
<
s
xml:id
="
N20461
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xml:space
="
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">Si autem dicat opponens ſe nolle ta
<
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le ſpacium aſſignare quauis aſſignabile ſit natura
<
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liter: hoc idem dicat ei reſpondens.
<
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xml:id
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xml:space
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">luce .20.</
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>
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<
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<
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xml:id
="
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xml:space
="
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">hebre. 4.</
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>
</
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<
s
xml:id
="
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xml:space
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">Et hac cautela
<
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reſpondendi (ſi fas eſt etiam eam cautelam in ꝓpo
<
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ſito appellare) vſus eſt redemptor noſter luce .20.
<
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cuius oculis omnia nuda et aperta ſūt ad hebreos
<
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quarto cum interrogantibus principibus ſacerdo
<
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tum in qua poteſtate hoc facis: dixit: interrogabo
<
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vus et ego vnum aliud verbum. </
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>
<
s
xml:id
="
N20484
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xml:space
="
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">Reſpondente michi
<
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baptiſmus iohannis de celo erat an ex hominibus
<
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qui perplexi in reſponſione ne videlicet in igno-
<
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miniam aut iram populi inciderent: reſpondebant
<
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ſe neſcire. </
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>
<
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="
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xml:space
="
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">Et rurſum ſubiunxit dominus nec ego di
<
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cam vobis in qua poteſtate hec facio </
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>
<
s
xml:id
="
N20494
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xml:space
="
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">¶ His exactis
<
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ſecundum noſtri ingenioli capacitatē ſit concluſio
<
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reſponſiua ad queſtionem.</
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>
</
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>
<
p
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="
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<
s
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="
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xml:space
="
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">Oīs motꝰ vniformiter difformis quo </
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>
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