Alvarus, Thomas
,
Liber de triplici motu
,
1509
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capitulum
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<
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<
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De motu alterationis.
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0218
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218
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vt patet ex dialecticis. </
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<
s
xml:id
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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
="
N25859
"
xml:space
="
preserve
">¶ Ad primam confirmationeꝫ patet reſpõ
<
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ſio ex tertia concluſione cum ſuo correlario. </
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>
<
s
xml:id
="
N2585E
"
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
<
lb
/>
ꝓportiõe maius efficitur. </
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>
<
s
xml:id
="
N25869
"
xml:space
="
preserve
">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
"
xml:space
="
preserve
">¶ Ad tertiam ↄ̨fimationē cõcedo
<
lb
/>
ſequelã ſcḋm hanc poſitionē primã: et nego falſita-
<
lb
/>
tem cõſequentis: et ad ꝓbationē nego ſequelam: et
<
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/>
ad ꝓbationē nego illud acquirat infinitas ꝓpor
<
lb
/>
tiones equales. </
s
>
<
s
xml:id
="
N2587D
"
xml:space
="
preserve
">Proportio em̄ dupla repectu ꝑtis
<
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/>
non eſt dupla repectu totius.</
s
>
</
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>
<
p
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="
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<
s
xml:id
="
N25883
"
xml:space
="
preserve
">Ad quartam rationē reſpondeo conce
<
lb
/>
dendo ſequelã et negando falſitatē conſequētis: et
<
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/>
ad punctū ꝓbationis dico / illud quod perdit oēs
<
lb
/>
ſpecies ꝓportionis ſuꝑparticularis infinitã ꝓpor-
<
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/>
tionem deperdit: et ꝑ cõſequēs vni ſignate īfinitas
<
lb
/>
equales vt optime ꝓbat argumentum.</
s
>
</
p
>
<
p
xml:id
="
N25890
">
<
s
xml:id
="
N25891
"
xml:space
="
preserve
">Ad quintam rationem reſpõdet noua
<
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/>
concluſio. </
s
>
<
s
xml:id
="
N25896
"
xml:space
="
preserve
">¶ Ad cõfirmationem reſpõdeo negando
<
lb
/>
ſequelam: et ad probationem concedo antecedens,
<
lb
/>
et nego conſequentiã. </
s
>
<
s
xml:id
="
N2589D
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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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/>
</
s
>
<
s
xml:id
="
N258A5
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xml:space
="
preserve
">¶ Ad ſecundã cõfirmationē nego ſequelã et quum
<
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/>
querit̄̄ ꝓportio acquiſita. </
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>
<
s
xml:id
="
N258AA
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xml:space
="
preserve
">dico / aut illa eſt incõmē
<
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/>
ſurabilis: aut a nobis nequā reperibilis</
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>
</
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>
<
p
xml:id
="
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<
s
xml:id
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xml:space
="
preserve
">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
xml:id
="
N258B6
"
xml:space
="
preserve
">Et q2 argumētū querit modū cognoſcēdi quã pro-
<
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/>
portionē acquirit totū quãdo pars aliquota acqui
<
lb
/>
rit aliquã ꝓportionē q̄ ſemꝑ reſpectu totius minor
<
lb
/>
eſt quam reſpectu partis: ideo dico / in propoſito
<
lb
/>
ad illud cognoſcendū recurrendū eſt ad primã par
<
lb
/>
tem capittulo ſeptimo. </
s
>
<
s
xml:id
="
N258C3
"
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</
s
>
</
p
>
<
p
xml:id
="
N258CA
">
<
s
xml:id
="
N258CB
"
xml:space
="
preserve
">Ad ſeptimam rationem reſponſuꝫ eſt
<
lb
/>
ibi vſ ad vltimam replicam: ad quã reſpõdeo: cõ-
<
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/>
dendo </
s
>
<
s
xml:id
="
N258D2
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xml:space
="
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">Cõcedēdo illatum: et negando ipſum ipſum
<
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/>
eſſe falſum.</
s
>
</
p
>
<
p
xml:id
="
N258D7
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<
s
xml:id
="
N258D8
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xml:space
="
preserve
">Ad octauam rationem reſponſum eſt
<
lb
/>
ibi vſ ad replicam: ad quã reſpõdeo: cõcedēdo il-
<
lb
/>
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
="
N258E1
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xml:space
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preserve
">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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/>
</
s
>
<
s
xml:id
="
N258E9
"
xml:space
="
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">¶ Ad cõfirmationē reſpondeo ↄ̨cedendo illatuꝫ / vt
<
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/>
bene probat argumentum.</
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>
</
p
>
<
p
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N258EE
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<
s
xml:id
="
N258EF
"
xml:space
="
preserve
">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
<
lb
/>
nec argumentū intendens illud probare habet ma
<
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/>
gnam apparentiã / vt ex dictis pꝫ. </
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>
<
s
xml:id
="
N258FA
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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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>
<
p
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="
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<
s
xml:id
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xml:space
="
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">Finis tertii
<
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tractatus.</
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</
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<
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chead
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De motu alterationis.
"/>
<
head
xml:id
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N2590C
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xml:space
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">Sequitur tractatus quartus in quo
<
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/>
agitur de motu alterationis.</
head
>
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<
head
xml:id
="
N25916
"
xml:space
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preserve
">Capitulum primuꝫ in quo diſputatiue
<
lb
/>
inquirit̄̄ penes quid motus alterationis
<
lb
/>
velocitas attendi habeat.</
head
>
<
p
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<
s
xml:id
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xml:space
="
preserve
">COnſummatis documentis co
<
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gnoſcende velocitatis motus ad locū et
<
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ad magnitudinē iam huius operis com
<
lb
/>
plementu doctrinã inueſtigande at menſurande
<
lb
/>
velocitatis motus ad qualitatē expoſtulat in qua
<
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/>
inquiſitione diſputatiue ꝓcedere intendo.</
s
>
</
p
>
<
p
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<
s
xml:id
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N2592C
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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
xml:id
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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
<
lb
/>
qualitatis etc̈. / ſeq̄retur / ſi a. calidū alteraret paſ-
<
lb
/>
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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xml:space
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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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>
<
s
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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
<
lb
/>
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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>
<
s
xml:id
="
N25964
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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
xml:id
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N25973
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xml:space
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preserve
">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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>
<
s
xml:id
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xml:space
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preserve
">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
<
gap
/>
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-0218-01a
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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
xml:id
="
N25994
"
xml:space
="
preserve
">¶ Dices forte negando
<
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ſequelã </
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>
<
s
xml:id
="
N25999
"
xml:space
="
preserve
">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
<
lb
/>
abſolute: ſed in ordine ad ſubiectum quod alterat̄̄
<
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/>
ita quãto ſubiectum fuerit maius tãto velocitas
<
lb
/>
alterationis erit maior ceteris paribus. </
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>
<
s
xml:id
="
N259A6
"
xml:space
="
preserve
">Sed con
<
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/>
tra / q2 tunc ſeq̄retur / ſi a. alteran ꝓduceret in pri-
<
lb
/>
ma parte ꝓportionali vnius hore ꝓportiõe dupla
<
lb
/>
diuiſe vnū gradū caliditatis in prima parte ꝓpor
<
lb
/>
tionali vnius pedalis et in ſcḋa ꝓduceret etiã vnum
<
lb
/>
gradum in ſcḋa parte ꝓportionali eiuſdē pedalis
<
lb
/>
et in tertia vnū alterū in tertia / et ſic cõſequenter b.
<
lb
/>
vero in qualibet ꝑte ꝓportionali hore ꝓduceret tã
<
lb
/>
tam formã entitatiue et intenſiue ꝑ totum tamē vnū
<
lb
/>
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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>
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>
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