Alvarus, Thomas
,
Liber de triplici motu
,
1509
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capitulum
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<
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De motu alterationis.
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0218
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n
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218
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vt patet ex dialecticis. </
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<
s
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N25852
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xml:space
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">Reſolutio huius argumenti
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habetur ex prima et ſecunda concluſionibus huius
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capitis. </
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<
s
xml:id
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N25859
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xml:space
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">¶ Ad primam confirmationeꝫ patet reſpõ
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ſio ex tertia concluſione cum ſuo correlario. </
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>
<
s
xml:id
="
N2585E
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xml:space
="
preserve
">¶ Ad
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ſecūdã cõfirmationē nego ſequelã, et ad ꝓbationeꝫ
<
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dico: ſemꝑ illud corpus erit maius in aliqua pro
<
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portione rõnali vel irrationali: et cum tu q̄ris ī qua
<
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ꝓportiõe maius efficitur. </
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>
<
s
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="
N25869
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xml:space
="
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">Reſpondeo / non ſolum
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in iſto caſu verūetiaꝫ in infinitis nõ poſſet ingeniū
<
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finitum illud diſcutere ꝓpter varietatem ꝓportio-
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num inter partes. </
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>
<
s
xml:id
="
N25872
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xml:space
="
preserve
">¶ Ad tertiam ↄ̨fimationē cõcedo
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ſequelã ſcḋm hanc poſitionē primã: et nego falſita-
<
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/>
tem cõſequentis: et ad ꝓbationē nego ſequelam: et
<
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ad ꝓbationē nego illud acquirat infinitas ꝓpor
<
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tiones equales. </
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>
<
s
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N2587D
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xml:space
="
preserve
">Proportio em̄ dupla repectu ꝑtis
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non eſt dupla repectu totius.</
s
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</
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<
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<
s
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xml:space
="
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">Ad quartam rationē reſpondeo conce
<
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dendo ſequelã et negando falſitatē conſequētis: et
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ad punctū ꝓbationis dico / illud quod perdit oēs
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ſpecies ꝓportionis ſuꝑparticularis infinitã ꝓpor-
<
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tionem deperdit: et ꝑ cõſequēs vni ſignate īfinitas
<
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equales vt optime ꝓbat argumentum.</
s
>
</
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>
<
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="
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<
s
xml:id
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xml:space
="
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">Ad quintam rationem reſpõdet noua
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concluſio. </
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>
<
s
xml:id
="
N25896
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xml:space
="
preserve
">¶ Ad cõfirmationem reſpõdeo negando
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ſequelam: et ad probationem concedo antecedens,
<
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/>
et nego conſequentiã. </
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<
s
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="
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xml:space
="
preserve
">Non eſt em̄ eadē ratio quan
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do hora diuidit̄̄ ꝓportiõe dupla in illo caſu: et quã
<
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do maiori: vt ptꝫ ex tertio capite ſecundi tractatꝰ.
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/>
</
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<
s
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="
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xml:space
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">¶ Ad ſecundã cõfirmationē nego ſequelã et quum
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querit̄̄ ꝓportio acquiſita. </
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<
s
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xml:space
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">dico / aut illa eſt incõmē
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ſurabilis: aut a nobis nequā reperibilis</
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</
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<
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xml:space
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">Ad ſextam rationem reſpondeo negã
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do ſequelam: et ad probationē nego cõſequentiam
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</
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<
s
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xml:space
="
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">Et q2 argumētū querit modū cognoſcēdi quã pro-
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portionē acquirit totū quãdo pars aliquota acqui
<
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rit aliquã ꝓportionē q̄ ſemꝑ reſpectu totius minor
<
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eſt quam reſpectu partis: ideo dico / in propoſito
<
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ad illud cognoſcendū recurrendū eſt ad primã par
<
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tem capittulo ſeptimo. </
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<
s
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="
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xml:space
="
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">¶ Ad confirmationē reſpõ-
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deo negando ſequelã: vt bene ꝓbat argumentū eã
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eſſe negandã et ad ꝓbationem nego conſequentiã</
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>
</
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<
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="
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<
s
xml:id
="
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xml:space
="
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">Ad ſeptimam rationem reſponſuꝫ eſt
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ibi vſ ad vltimam replicam: ad quã reſpõdeo: cõ-
<
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/>
dendo </
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<
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xml:space
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">Cõcedēdo illatum: et negando ipſum ipſum
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eſſe falſum.</
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</
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<
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xml:space
="
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">Ad octauam rationem reſponſum eſt
<
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ibi vſ ad replicam: ad quã reſpõdeo: cõcedēdo il-
<
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/>
lud qḋ inducit et negando falſitatē cõſequētis: et ad
<
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punctum probatiõis nego hanc ↄ̨ſequētiã. </
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<
s
xml:id
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xml:space
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">Hoc in-
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cipit in infinitū tarde acquirere de quãtitate: ergo
<
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non incipit īfinite velociter acquirere de quãtitate
<
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</
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<
s
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="
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xml:space
="
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">¶ Ad cõfirmationē reſpondeo ↄ̨cedendo illatuꝫ / vt
<
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bene probat argumentum.</
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</
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<
s
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xml:space
="
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">Ad nonam ratiouem cõcedo ſequelã
<
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et nego falſitatē conſequētis: et nego ex illo ſeq̇-
<
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tur illud corpus infinitam quantitatem acquirere
<
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nec argumentū intendens illud probare habet ma
<
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gnam apparentiã / vt ex dictis pꝫ. </
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<
s
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xml:space
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">¶ Et hec de tertio
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Tractatu.</
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</
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<
s
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">Finis tertii
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tractatus.</
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De motu alterationis.
"/>
<
head
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xml:space
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">Sequitur tractatus quartus in quo
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agitur de motu alterationis.</
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<
head
xml:id
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N25916
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xml:space
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">Capitulum primuꝫ in quo diſputatiue
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inquirit̄̄ penes quid motus alterationis
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velocitas attendi habeat.</
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<
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<
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xml:space
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">COnſummatis documentis co
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gnoſcende velocitatis motus ad locū et
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ad magnitudinē iam huius operis com
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plementu doctrinã inueſtigande at menſurande
<
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velocitatis motus ad qualitatē expoſtulat in qua
<
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inquiſitione diſputatiue ꝓcedere intendo.</
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</
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<
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xml:id
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xml:space
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">Queritur ergo prīo nunquid motus
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alteratiõis velocitatē penes multitudinē graduū
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qualitatis mediante tali motu ꝓducte metiri opor
<
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teat. </
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<
s
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xml:space
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">Et arguit̄̄ primo / nõ q2 ſi motus alteratiõis
<
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velocitas eēt mēſurãda penes multitudinē graduū
<
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/>
qualitatis etc̈. / ſeq̄retur / ſi a. calidū alteraret paſ-
<
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ſum pedale ꝑ totū in hora vniformiter ad gradum
<
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quartum caliditatis et .b. ccalidū in eodē tꝑe alte-
<
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raret bipedale ꝑ totū ad eundū quartū gradū ca-
<
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liditatis a. et b. in illa hora eque velociter altera-
<
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rent illa poſſa / ſed ↄ̨ñs eſt falſuꝫ / igitur illud ex quo
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ſequitur. </
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<
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">Sequela probat̄̄ / q2 tot gradus calidita-
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tis adequate ꝓducit a. ſicut b. in eodē tꝑe q2 tam in
<
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tenſam caliditatē ꝓducit a. ſicut b. in illa hora ade-
<
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quate / igit̄̄ eque velociter a. et b. alterant ſua paſſa
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in illa hora. </
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<
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xml:space
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">Patet ↄ̨ſequētia / q2 penes illud veloci
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tas alterationis, vt inquis, attendi habet iam ar-
<
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guitur falſitas ↄ̨ñtis / q2 tunc ſequit̄̄ / a. agens alte
<
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raret bipedale in duabus horis adequate et b. alte
<
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raret bipedale in hora adequate et ad eūdem gra-
<
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dum et tamen a. eque velociter adequate alteraret
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ſuū bipedale ſicut b. / ſed cõſequens ē manifeſte fal-
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ſum / igitur illud ex quo ſeq̇tur. </
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<
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xml:space
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">Sequela ꝓbat̄̄ et po
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no / cõpleta hora in qua a. alterauit vnum pedale
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ad gradū vt .4. per totū et .b. ad eundē gradum ca-
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liditatis vi3 alterabit bipedale approximet̄̄ ipſi a.
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vnū aliud pedale qḋ in ſequēti hora alteret ad gra
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dum vt .4. adequale ꝑ totū b. nichil vlterius alterã
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te. </
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<
s
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xml:space
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">Quo poſito ſic argumētor a. in tꝑe illarū duaꝝ
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horarū alterat bipedale ad gradū vt .4. adequate
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per totū et b. in vna hora alterat bipedale ad eun-
<
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dem gradū ꝑ totū et a. et b. alterãt eque velociter ꝑ
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te: igitur ſequitur illatū </
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<
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">Probat̄̄ / tamē minor / q2 a.
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in prima hora eque velociter alterat ſuū paſſum ſi
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cut b., vt coucedis
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et in ſecūda eque velociter alte-
<
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rat ſicut in prima / vt cõſtat / igit̄̄ in tꝑe illarū duarū
<
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horarū eque velociter alterat a. ſuū bipedale ſicut
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b. alterat ſuū in prima illarū ꝑ ↄ̨ñs eque velociter
<
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alterat a. ſicut b. adequate.
<
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xlink:href
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note-0218-01
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xml:id
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xml:space
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">Dicitur.</
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</
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<
s
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xml:space
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">¶ Dices forte negando
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ſequelã </
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<
s
xml:id
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xml:space
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">Et ratio eſt / q2 velocitas motus alteratio-
<
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nis non debet attendi penes qualitatē ſiue multi-
<
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tudinem graduū qualitatis ꝓducte in eodē tēpore
<
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abſolute: ſed in ordine ad ſubiectum quod alterat̄̄
<
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ita quãto ſubiectum fuerit maius tãto velocitas
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alterationis erit maior ceteris paribus. </
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<
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xml:space
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">Sed con
<
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tra / q2 tunc ſeq̄retur / ſi a. alteran ꝓduceret in pri-
<
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ma parte ꝓportionali vnius hore ꝓportiõe dupla
<
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diuiſe vnū gradū caliditatis in prima parte ꝓpor
<
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tionali vnius pedalis et in ſcḋa ꝓduceret etiã vnum
<
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gradum in ſcḋa parte ꝓportionali eiuſdē pedalis
<
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et in tertia vnū alterū in tertia / et ſic cõſequenter b.
<
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vero in qualibet ꝑte ꝓportionali hore ꝓduceret tã
<
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tam formã entitatiue et intenſiue ꝑ totum tamē vnū
<
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pedale extenſam quãtum in eadē parte hore produ
<
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cit a. in parte proportionali pedalis qḋ alterat .b. </
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