Alvarus, Thomas
,
Liber de triplici motu
,
1509
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[4.] Capitulū q̈rtū / in quo principalr̄ q̄rit̄̄ penes quid attendi intenſio qualitatis difformis debeat.
Page: 263
[5.] Capitulum quintum inquirens penes quid gradus ſummi inductio ſit attendenda.
Page: 277
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De motu quo ad cauſam in medio nõ reſiſtente.
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bationē negãdo añs vcꝫ īmediate poſt hoc in eq̈li
<
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tēpore in īfinitū paruū ſpaciū ꝑtranſibit aliqḋ illo
<
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rum mobiliū equaliū ipſi a. et cū ꝓbat̄̄ / q2 īmediate
<
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poſt hoc in aliquo tꝑe in īfinitū modicū erit mediū
<
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in quo mouet̄̄ aliqḋ illoꝝ nego illud: īmo quocnu
<
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tꝑe dato poſt hoc in illo latitudo in qua mouet̄̄ a.
<
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erit extēſa per aliquã partē medii: et in eodē tēpore
<
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ꝑ maiorē partē medii erit extenſa eadē latitudo iu
<
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quolibet alioꝝ medioꝝ / vt ptꝫ ex caſu: qm̄ quantãcū
<
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extenſionē acquirit illa latitudo in medio b. in q̊
<
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mouetur a. tantã adequate in eodē tēpore acquirit
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/>
eadē latitudo in quolibet alioꝝ medioꝝ ſupra extē
<
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/>
ſionē quã iam habet in quolibet illoꝝ: et ſic cõtinuo
<
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in quolibet alioꝝ medioꝝ erit magis extēſa illa la
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titudo quã in b. medio in quo mouetur a.</
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<
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xml:space
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">Sed contra / q2 ſi latitudo in quolibet
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illoꝝ medioꝝ a b. ſtaret tūc in infinitū tarde moue-
<
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/>
tur aliquod illoꝝ mobiliū in aliquo illoꝝ mediorū
<
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/>
in aliquo tempore poſt inſtans initiatiuū motus / et
<
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/>
tunc a. moueretur adhuc quolibet illoꝝ tardiꝰ: igr̄
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<
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xml:space
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">Maior ꝓbato eſt ſuperius / qm̄ īmedietate poſt in-
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ſtans initiatiuū motus in equali tēpore in infinitū
<
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/>
modicū erit ſpaciū pertranſitū ab aliquo illoꝝ cū
<
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/>
in infinitū modicū ſit aliquod illoꝝ mediorū. </
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>
<
s
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xml:space
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iam ꝓbatur minor / q2 quãdo ille latitudines mouē
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tur in illis mediis / vt poſitū eſt in argumento a. mo
<
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/>
uetur quolibet illoꝝ mobiliū tardius / vt ptꝫ ex ar-
<
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gumento et in nulla ꝓportione incipit aliquod illo
<
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/>
rum mobiliū velocius moueri mouente latitudine
<
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/>
quã quieſcente: ergo a. quolibet illoꝝ medioꝝ quie-
<
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ſcente et latitudine in eis ſimiliter incipit quolibet
<
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illoꝝ tardius moueri. </
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>
<
s
xml:id
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xml:space
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">Minor ꝓbatur / quia ſi nõ de
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tur aliquod illoꝝ quod ſit d. quod in aliqua ꝓpor-
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tione puta dupla incipiat velocius moueri latitu-
<
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/>
dine mota quã latitudine quieſcente / et arguitur ſic /
<
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/>
d. in duplo velociꝰ incipit moueri latitudine ſic mo
<
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uente / vt ponitur in caſu argumenti quã ſic quieſcē
<
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te, ponatur igitur / incipiat moueri ſimul in quie
<
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ſcente latitudine et in mouente: et arguitur ſic / in du
<
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plo velocius per te incipit moueri d. in latitudine
<
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/>
mouente quã quieſcente: ergo immediate poſt hoc
<
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/>
demonſtrato inſtanti initiatiuo motus d. in latitu
<
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dine mota in duplo plus diſtabit a puncto initia-
<
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/>
tiuo motus quã in latitudine non mota et erit in la
<
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/>
titudine mota in puncto in duplo remiſſiori: et in
<
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latitudine non mota in puncto in dnplo intenſiori /
<
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/>
igitur īmediate poſt hoc latitudo mota erit in du-
<
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plo maior in loco vbi mouetur quã in loco vbi quie
<
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/>
ſcit: ſed conſequens eſt falſum / quia ſucceſſiue in ca
<
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ſu ſit extenſior vbi mouetur quã eſt in loco vbi quie-
<
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/>
ſcit / vt ponitur igitur. </
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<
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xml:space
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">Ultima conſequentia proba
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tur / quia ſi tantum diſtaret a puncto initiatiuo mo
<
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tus in latitudine non mota punctus in quo poten-
<
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tia eſt in inſtanti in quo ſic mouetur in duplo tar-
<
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dius quantum diſtat punctus ſubduplus in quo eſt
<
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potentia in latitudine mota: manifeſtum eſt / illa
<
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latitudo mota eſſet in duplo extenſior latitudine
<
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/>
quieſcente in loco in quo quieſcit: quia tantum di-
<
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ſtaret in latitudine mota aliquis punctus ab extre
<
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mo remiſſiori quantum duplus punctus diſtaret in
<
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/>
latitudine non mota: et ſic manifeſtum eſt / in loco
<
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in quo mouetur eſt in duplo extēſior quã in loco in
<
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quo quieſcit. </
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<
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xml:space
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">Et ſic probabitur quacun alia pro-
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portione data / īmediate poſt hoc in eadem pro-
<
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portione latitudo in quo mouetur erit maior lati-
<
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tudine vbi quieſcit. </
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<
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xml:space
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">Dico in eadē vel maiori: et ſem-
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ꝑ ſuppono latitudīes manere vniformiṫ difformes</
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<
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">Reſpondeo ad replicam concedendo
<
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De motu quo ad cauſam in medio nõ reſiſtente.
"/>
maiorem, et negando mnorem, et ad probationem
<
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/>
nego / in nulla proportione incipit aliquod illo-
<
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rum velocius mouere latitudine mouente quã ipſa
<
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/>
quieſcente: immo do oppoſitum puta / in aliqua
<
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/>
proportione incipit aliquod illorum velocius mo-
<
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ueri latitudine mouente quam ipſa quieſcente. </
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>
<
s
xml:id
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xml:space
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preserve
">Et
<
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cum petitur / detur / quod illorū ſic in aliqua pro-
<
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portiõe velociꝰ īcipit moueri latitudīe mouēte quã
<
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quieſcente. </
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>
<
s
xml:id
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N1C6DE
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xml:space
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">Dico / ly aliquod illorū ſupponit con
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fuſe tantum. </
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<
s
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xml:space
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">Et ideo non debet ſignari: quãuis ſi-
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gnetur proportio quia ly proportiõe ſupponit de-
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terminate.
<
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xml:id
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xml:space
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">1. correĺ.</
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>
</
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<
s
xml:id
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xml:space
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">¶ Ex quo ſequitur / in aliqua propor-
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tione incipit aliquod illorum velocius moueri la-
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titudine mota quam quieſcente et tamen in nulla
<
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/>
proportione aliquod illorum incipit velocius mo-
<
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ueri latitudine mota quam quieſcente. </
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>
<
s
xml:id
="
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xml:space
="
preserve
">Patet cor-
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relarium ex logica et ex improbatione oppoſiti hu
<
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ius propoſitionis aſſumpte in nulla proportione
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incipit aliquod illorum etc̈.
<
note
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xlink:href
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xml:id
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xml:space
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">2. correĺ.</
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>
</
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<
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xml:id
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xml:space
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">¶ Sequitur ſecundo /
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in infinitum tarde incipit aliquod illorum moueri
<
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quieſcentibus illis latitudinibus et tamen nullum
<
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/>
illorum aliqua proportione incipit tardius moue
<
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ri altero. </
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>
<
s
xml:id
="
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xml:space
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">Prima pars huiꝰ correlarii patet ex ſu-
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perioribus: et ſecunda probatur / quia quodlibet il
<
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/>
lorū ab eadem reſiſtentia vel ab equali incipit mo-
<
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/>
ueri: ergo nullum illorum aliqua proportione in-
<
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/>
cipit moueri velociꝰ altero: q2 alias ſeq̄ret̄̄ / illam
<
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/>
maiorē ꝓportionē ſubito acq̇reret / quod eſt falſuꝫ.</
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>
</
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<
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">Quarto contra quartam concluſio-
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nem quartidecimi capitis arguitur ſic.
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xml:id
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xml:space
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">Senariꝰ
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tñ puto cõfūdere
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ly aliq̄ ꝓ
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portione</
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>
</
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<
s
xml:id
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xml:space
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">Si illa con
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cluſio eſſet vera / ſequeretur in caſu / a. potētia quo
<
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cun gradu intrinſeco alicuius reſiſtentie per quã
<
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mouetur dato: incipit velocius intendere motum
<
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/>
ſuum et moueri: quolibet illorum punctorum inci-
<
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/>
piente motum ſuum intendere a non gradu et po-
<
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tentia ſimul: ſed conſequens eſt falſum / igitur illud
<
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ex quo ſequitur. </
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>
<
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xml:id
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xml:space
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">Sequela probatur / et pono / ſit
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vna latitudo a non gradu vſ ad octauum vnifor-
<
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miter difformis progrediens a non quanto quoli-
<
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/>
bet eius puncto intrinſeco incipiente a nõ gradu
<
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intendere motum ſuum: et tncipiat ſimul cum tali
<
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/>
latitudine moueri potentia vt .8. / quo poſito argui
<
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/>
tur ſic / quilibet punctus intrinſecus incipit vnifor-
<
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/>
miter intendere motum ſuū a non gradu / vt ptꝫ ex
<
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/>
caſu: et potētia ſimiliter (qm̄ ſi potētia inciperet a
<
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/>
gradu: iam quolibet pūcto inciperet velociꝰ moue
<
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/>
ri et ſic quodlibet inciperet p̄cedere: et per cõſequēs
<
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/>
nõ moueret̄̄ cū illa latitudine: ſed ſubito pertrãſi-
<
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/>
ret totū mediū nõ reſiſtēs) et in illo caſu a quolibet
<
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/>
pūcto intrīſeco illiꝰ latitudīs īcipit velociꝰ moueri:
<
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et velociꝰ ītēdere motū ſuū: igr̄ ꝓpoſitū. </
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>
<
s
xml:id
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xml:space
="
preserve
">Ptꝫ ↄ̨ña cū
<
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maiore: et ꝓbat̄̄ mīor / qm̄ qḋlibet punctū intrīſecū
<
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/>
īcipit p̄cedere: g̊ q̊libet pūcto intrīſeco īcipit velociꝰ
<
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/>
intendere motū ſuū et moueri. </
s
>
<
s
xml:id
="
N1C774
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xml:space
="
preserve
">Probat̄̄ añs / q2 ipſa
<
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īcipit a nõ g̈du: g̊ īcipit a pūcto ſibi eq̈li ꝓcedēdo cõ
<
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/>
tinuo ſus pūcta minꝰ intēſa: g̊ ſequit̄̄ / qḋlibet in
<
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/>
trīſecū īcipit p̄cedere.
<
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right
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xlink:href
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xlink:label
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xml:id
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xml:space
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">ↄ̨firmat̄̄.</
note
>
</
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>
<
s
xml:id
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xml:space
="
preserve
">¶ Et ↄ̨firmat̄̄ / q2 ſi nõ det̄̄ / igit̄̄
<
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/>
pūctꝰ ītrīſecꝰ illiꝰ latitudinis quē nõ p̄ceſſit a. et ma
<
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/>
nifeſtū eſt / a. hꝫ ad illū certã ꝓportionē: et ſemꝑ ꝑ
<
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/>
te mouebat̄̄ cū remiſſiori pūcto a prīcipio motꝰ: g̊
<
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/>
ſequit̄̄ / talis poña ab aliq̈ certa ꝓportiõe incipit
<
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/>
moueri: et nõ īcipit a nõ g̈du qḋ eſt ↄ̨tra caſū. </
s
>
<
s
xml:id
="
N1C78F
"
xml:space
="
preserve
">Patꝫ
<
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/>
ↄ̨ña / q2 ↄ̨tinuo mouet̄̄ a maiori ꝓportiõe ꝙ̄ ſi ꝓpor
<
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/>
tio quã hꝫ ad illū pūctū quē nū̄ p̄ceſſit etc̈. </
s
>
<
s
xml:id
="
N1C796
"
xml:space
="
preserve
">Sꝫ iã ꝓ
<
lb
/>
bat̄̄ falſitas ↄ̨ñtis / q2 ſi a poña īcipit q̊libet puncto
<
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/>
intrīſeco velociꝰ moueri / ſequit̄̄ / inſtãti qḋ eſt pñs
<
lb
/>
et initiatiuo motꝰ ip̄a poña nõ mouet̄̄ velociꝰ q̊libet
<
lb
/>
pūcto ītrīſeco: et īmediate poſt inſtãs / qḋ eſt pñs mo
<
lb
/>
uebit̄̄ velociꝰ quolibet pūcto intrinſeco: ſed ↄ̨ñs eſt </
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>
</
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>
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