Alvarus, Thomas
,
Liber de triplici motu
,
1509
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Finis de motu locali quo ad cauſã.
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falſū: igr̄ illud ex quo ſeq̇tur. </
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>
<
s
xml:id
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N1C7A8
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xml:space
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preserve
">Falſitas ↄ̨ñtis ꝓbat̄̄:
<
lb
/>
qm̄ īmediate poſt inſtãs qḋ eſt p̄ſens cõtinuo infini
<
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ta puncta intrīſeca velociꝰ mouebūtur ipſa poten-
<
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/>
tia a. / igr̄ nõ īmediate poſt inſtãs / qḋ eſt p̄ſens moue
<
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/>
bitur velociꝰ quolibet pūcto intrīſeco / qḋ eſt oppo-
<
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/>
ſitū cõſequētis illati. </
s
>
<
s
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="
N1C7B5
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xml:space
="
preserve
">Cõſequētia ptꝫ, et ꝓbat̄̄ añs,
<
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qm̄ īmediate poſt inſtãs / qḋ eſt p̄ſens īfinita pūcta
<
lb
/>
p̄cedēt ipſã potentiã / vt ptꝫ, q2 illa potentia erit in
<
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/>
aliquo pūcto intrīſeco cū intēdat ꝑ te ↄ̨tinuo motū
<
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/>
ſuū: ergo īmediate poſt hoc cõtinuo īfinita puncta
<
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/>
velociꝰ mouebūtur ipſa a: poña / qḋ fuit ꝓbandum.</
s
>
</
p
>
<
p
xml:id
="
N1C7D8
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<
s
xml:id
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N1C7D9
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xml:space
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">Reſpõdeo cõcedēdo / qḋ infert̄̄ negã-
<
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do falſitatē ↄ̨ſequētis, et ad ꝓbationē falſitatis cõ
<
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/>
ſequētis, cõcedo ↄ̨ſequētiã, et negãdo añs: nec illud
<
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/>
añs eſt ꝓpoſitio q̄ infert̄̄ in argumēto: ſꝫ ꝓpoſitio
<
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/>
q̄ infert̄̄ eſt iſta quolibet g̈du intrīſeco illiꝰ reſiſtētie
<
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/>
dato incipit a. poña velociꝰ moueri: et velociꝰ inten
<
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/>
dere motū ſuū q̄ vera et ꝓbata eſt ſufficienter.
<
note
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left
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note-0129-01a
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note-0129-01
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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
="
N1C7ED
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xml:space
="
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">¶ Ex
<
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quo ſeq̇tur / quolibet gradu ſiue pūcto ītrīſeco il-
<
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lius reſiſtentie īcipit a. potētia velociꝰ moueri: et tñ
<
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/>
nõ īcipit moueri quolibet gradu ſiue pūcto intrīſe-
<
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co illiꝰ reſiſtentie velociꝰ. </
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>
<
s
xml:id
="
N1C7F8
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xml:space
="
preserve
">Patet correlariū ex lo-
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gica et caſu. </
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>
<
s
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="
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xml:space
="
preserve
">Unã illaꝝ ꝓpoſitionū eſt īmediate ex-
<
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ponibilis: et alia nõ.
<
note
position
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xml:id
="
N1C897
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xml:space
="
preserve
">2. correĺ.</
note
>
</
s
>
<
s
xml:id
="
N1C807
"
xml:space
="
preserve
">¶ Sequit̄̄ ſecūo / in caſu ar-
<
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/>
gumenti quocū gradu ſiue pūcto intrīſeco illius
<
lb
/>
reſiſtētie īcipit a. velociꝰ moueri: et tñ ãte quodlibet
<
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/>
īſtãs futuꝝ poſt īſtãs / qḋ eſt p̄ſens velociꝰ īfiniti g̈dꝰ
<
lb
/>
ſiue pūcti intrinſeci mouebūtur. </
s
>
<
s
xml:id
="
N1C812
"
xml:space
="
preserve
">Patet hoc corre-
<
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lariū ex deductione argumēti.
<
note
position
="
left
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xlink:href
="
note-0129-03a
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="
note-0129-03
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xml:id
="
N1C89D
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xml:space
="
preserve
">Duodeci
<
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ma ↄ̨cĺo
<
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/>
calcu.</
note
>
</
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>
<
s
xml:id
="
N1C81C
"
xml:space
="
preserve
">Et eſt duodecima cõ
<
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/>
cluſio calculatoris in primo capite de medio nõ re
<
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/>
ſiſtente.
<
note
position
="
left
"
xlink:href
="
note-0129-04a
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xlink:label
="
note-0129-04
"
xml:id
="
N1C8A7
"
xml:space
="
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">3. correĺ.</
note
>
</
s
>
<
s
xml:id
="
N1C828
"
xml:space
="
preserve
">¶ Seq̇tur tertio / ſi poſt̄ latitudo illa re
<
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/>
ſiſtentie mouet̄̄ cõtinuo vniformiter cū poña incipi
<
lb
/>
ente moueri cū illa: quilibet pūctus eiꝰ intrinſecus
<
lb
/>
incipiat moueri velociꝰ vniformiter quã antea: mo
<
lb
/>
tus illiꝰ potētie incipiet eſſe retrogradꝰ quo ad reſi
<
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/>
ſtentiã. </
s
>
<
s
xml:id
="
N1C835
"
xml:space
="
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">Incipiet em̄ intēdere motū ſuū. </
s
>
<
s
xml:id
="
N1C838
"
xml:space
="
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">Et ſi poſtea
<
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/>
quilibet punctꝰ reſtitueret̄̄ priſtine velocitati vnifor
<
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/>
miter: poña iteꝝ incipiet ꝑtrãſire eandē reſiſtentiã
<
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/>
remittendo motū ſuū. </
s
>
<
s
xml:id
="
N1C841
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xml:space
="
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">Et poteſt hoc fieri infinities
<
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/>
ſi motus latitudinis īfinities variet̄̄. </
s
>
<
s
xml:id
="
N1C846
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xml:space
="
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">Probat̄̄ cor-
<
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relariū / et pono / in latitudīe data a nõ gradu vſ
<
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/>
ad octauū moueat̄̄ pūctus vt .4. a ꝓportiõe dupla
<
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/>
vniformiṫ ꝑ aliqḋ tēpꝰ: et ꝑ idē tēpꝰ moueat̄̄ poña vt
<
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/>
octo cū illo pūcto vt .4. etiã a ꝓportiõe dupla: et de-
<
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/>
inde in īſtãti a. īcipiat ſubito ille pūctꝰ vt .4. moueri
<
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/>
a ꝓportiõe q̈drupla. </
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>
<
s
xml:id
="
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xml:space
="
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">Quo poſito manifeſtū ē / ille
<
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pūctꝰ īcipiet p̄cedere poñaꝫ īcipiet intēdere
<
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/>
motū ſuū: intēdat igr̄ motū ſuū / quo ad vſ veniat
<
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/>
ad punctū a. vel b. (nõ eſt cura) et cū ꝑuenerit ad il-
<
lb
/>
lud punctū incipiat latitudo iteꝝ moueri eo modo
<
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/>
q̊ mouebat̄̄ ãtea vniformiṫ puta g̈dus vt .4. īcipiat
<
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/>
moueri a ꝓportiõe dupla: et g̈dꝰ vt .8. a q̈drupla vni
<
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/>
formiṫ ↄ̨tinuo. </
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>
<
s
xml:id
="
N1C866
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xml:space
="
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">Quo poſito iã poña iteꝝ incipit re-
<
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mittere motū ſuū q̊ ad vr ſit ī pūcto vt .4. qm̄ q̇lꝫ
<
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/>
pūctꝰ citra .4. / tunc tardiꝰ mouet̄̄ / tūc ꝙ̄ poña ſufficit
<
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/>
moueri cū illo, qm̄ cū pūcto vt .4. ſufficit moueri po
<
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/>
tētia a ꝓportiõe dupla et ab eadē mouet̄̄ punctꝰ vt
<
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4. et q̇lꝫ pūctꝰ remiſſiora minori, et ipſa poña cū q̇lꝫ
<
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remiſſiori a maiori ꝙ̄ dupla ſufficit moueri: igr̄ qḋ
<
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lꝫ remiſſiꝰ cū q̊ eſt īcipit ꝑtrãſire et ꝑ ↄ̨ñs ãtea ꝙ̄ deue
<
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niet ad pūctū vt .4. ↄ̨tinuo remittet motū ſuū. </
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>
<
s
xml:id
="
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xml:space
="
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">Et ſic
<
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ptꝫ correlariū. </
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>
<
s
xml:id
="
N1C87E
"
xml:space
="
preserve
">¶ Hec igr̄ ꝓ īgenioli mei tenuitate
<
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de velocitate motꝰ penes cauſã ī medio difformiter
<
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difformi variato, et q̇eſcēte poña ſiĺr variata et q̇eſcē
<
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/>
te, itidē ī medio vniformiter difformiter reſiſtēte et
<
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/>
īuariato, etiã in medio nõ reſiſtente in quo fit parti
<
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/>
bilis acquiſitio reſiſtentie vniformiter et difformi-
<
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/>
ter difformis / dicta ſint tanta.</
s
>
</
p
>
<
cb
chead
="
Seq̇t̄̄ de motu locali quo ad effectū.
"/>
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</
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<
p
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<
s
xml:id
="
N1C8B5
"
xml:space
="
preserve
">¶ Seq̇tur tractatꝰ ſecūdꝰ huiꝰ tertie ꝑtis in q̊ de-
<
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termīat̄̄ de velocitate et tarditate motꝰ penes effe-
<
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/>
ctū, exordiendo primo a motu locali tan̄ a priori</
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>
</
p
>
<
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xml:id
="
N1C8BC
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level
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4
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n
="
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type
="
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type-free
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">
<
head
xml:id
="
N1C8C1
"
xml:space
="
preserve
">Capitulū ṗmū / in quo ponūtur aliq̈ cõia elemēta
<
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ī hac materia definitiões vcꝫ diuiſionibꝰ adiunctis</
head
>
<
p
xml:id
="
N1C8C6
">
<
s
xml:id
="
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xml:space
="
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">PHiloſophorū prīcipis ariſtote
<
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lis pleriſ in locis ſue pḣie huic nr̄o inii-
<
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/>
tio a pṗme accõmoda extat ſententia.
<
note
position
="
right
"
xlink:href
="
note-0129-05a
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xlink:label
="
note-0129-05
"
xml:id
="
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xml:space
="
preserve
">pḣs in ꝓ
<
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hemio
<
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/>
phiſicoꝝ</
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>
</
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>
<
s
xml:id
="
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"
xml:space
="
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">Ait
<
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em̄ ꝓhemio phiſicoꝝ, et ī prīcipio moralis pḣie īdu
<
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/>
cēdo platõis teſtīoniū, duplicē reꝝ cognoſcēdi eſſe
<
lb
/>
viã a ṗori vcꝫ / et ꝑ cauſas vſ ad elemēta reſoluēdo
<
lb
/>
et ꝑ effectū q̊s duos cognoſcēdi tramites ṗmo poſte
<
lb
/>
rioꝝ capite illo in quo demouſtrationē ipſã partit̄̄
<
lb
/>
q2 et ꝓpṫ quid appellat: ſuapte tñ natura ītellectui
<
lb
/>
nr̄o vt eidē pḣo placet p̄allegato ꝓhemio īnata at-
<
lb
/>
congenita eſt via ꝑ effectū rē dinoſcendi: tam et ſi
<
lb
/>
vtro tramite ipſaꝝ reꝝ cognitionē attīgere vale-
<
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/>
at. </
s
>
<
s
xml:id
="
N1C8EA
"
xml:space
="
preserve
">Exacta igr̄ at tradita / vt potuimꝰ velocitatꝪ et
<
lb
/>
tarditatꝪ motꝰ noticia penes ṗmū modū ꝓpter q̇d
<
lb
/>
vcꝫ / et ꝑ cauſã q̄ cauſa ꝓportiõalitas geometrica eſt
<
lb
/>
iã nūc p̄ſens opus nos īducit at admonet ad tra-
<
lb
/>
dendã noticiã velocitatis et tarditatis motꝰ penes
<
lb
/>
m modū cognoſcēdi hoc ē peues effectū. </
s
>
<
s
xml:id
="
N1C8F7
"
xml:space
="
preserve
">Proceda
<
lb
/>
mus igr̄ / a motū locali ꝓpṫ ſui dignitatē at ṗori-
<
lb
/>
tatē exordiū ſumētes. </
s
>
<
s
xml:id
="
N1C8FE
"
xml:space
="
preserve
">Suppoſita igr̄ definitiõe mo
<
lb
/>
tus localis dico / biꝑtitꝰ eſt motꝰ localis. </
s
>
<
s
xml:id
="
N1C903
"
xml:space
="
preserve
">Nã q̇dã
<
lb
/>
eſt motꝰ localis vniformis, quidam vero difformis</
s
>
</
p
>
<
note
position
="
right
"
xml:id
="
N1C916
"
xml:space
="
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">Diuiſio
<
lb
/>
motꝰ lo-
<
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/>
calis.</
note
>
<
p
xml:id
="
N1C91E
">
<
s
xml:id
="
N1C91F
"
xml:space
="
preserve
">Motꝰ localis vniformis ē / quo ī equa
<
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/>
libꝰ tꝑis eq̈lia ſpacia ꝑtrãſeūtur rarefactiõe et cõ-
<
lb
/>
dēſatiõe deductis, deductis etiã aliis paruis q̇ſqui
<
lb
/>
liis cuiuſmodi eſt ↄ̨tra mutatio ſpacii vĺ qḋ non ſit
<
lb
/>
aliqḋ ſpaciū: ſufficit em̄ veꝝ vĺ ymaginaꝝ ſpacium
<
lb
/>
</
s
>
<
s
xml:id
="
N1C92B
"
xml:space
="
preserve
">Exēplū / vt ſi mobile ī hora adeq̈te ꝑtrãſeat leucã. </
s
>
<
s
xml:id
="
N1C92E
"
xml:space
="
preserve
">Et
<
lb
/>
ī ṗma parte ꝓportiõali hore ṗmã ꝑtē ꝓportiõalē leu-
<
lb
/>
ce in ſcḋa ſcḋaꝫ / et ſic ↄ̨ñter. </
s
>
<
s
xml:id
="
N1C935
"
xml:space
="
preserve
">¶ Motꝰ o difformis eſt
<
lb
/>
qñ ī eq̈libꝰ ꝑtibꝰ tꝑis nõ eq̈lia ſpacia ꝑtrãſeūtur ce-
<
lb
/>
teris paribꝰ, deductꝪ deducēdis: vt ſi mobile ꝑtrã-
<
lb
/>
ſeat in hora adeq̈te leucã, in ṗma medietate vnam
<
lb
/>
q̈rtã et in ſcḋa tres q̈rtas talis motus eſt difformis
<
lb
/>
<
note
position
="
right
"
xlink:href
="
note-0129-06a
"
xlink:label
="
note-0129-06
"
xml:id
="
N1C9BE
"
xml:space
="
preserve
">Diuiſio
<
lb
/>
motꝰ dif
<
lb
/>
formis.</
note
>
</
s
>
<
s
xml:id
="
N1C947
"
xml:space
="
preserve
">¶ Motꝰ difformis diuidit̄̄ / q2 q̇dã eſt vniformiṫ dif-
<
lb
/>
formis, q̇dã o difformiṫ difformis. </
s
>
<
s
xml:id
="
N1C94C
"
xml:space
="
preserve
">Motꝰ vnifor-
<
lb
/>
miter difformis (vt cõiter definit̄̄) eſt triplex q̇dã eſt
<
lb
/>
vniformiṫ difformis q̊ ad ſubiectū tm̄, q̇dã q̊ ad tē-
<
lb
/>
pꝰ tm̄, q̇dã o q̊ ad ſubiectū et tēpꝰ ſiĺ. </
s
>
<
s
xml:id
="
N1C955
"
xml:space
="
preserve
">¶ Motꝰ vni-
<
lb
/>
formiṫ difformis q̊ ad ſubiectū vt cõiter definit̄̄ eſt
<
lb
/>
qñ cuiꝰcū ꝑtis ſubiecti dimidiū tm̄ excedit̄̄ ī velo-
<
lb
/>
citate ab extremo velociori illiꝰ ̄tū excedit extre-
<
lb
/>
mū tardiꝰ motū ī velocitate. </
s
>
<
s
xml:id
="
N1C960
"
xml:space
="
preserve
">Exēplū / vt motꝰ rote fi
<
lb
/>
guli: et ꝑ dimidiū ītelligas pūctū ī medio vĺ q̇ yma
<
lb
/>
gīarie ē ibi ṫmīſãdo. </
s
>
<
s
xml:id
="
N1C967
"
xml:space
="
preserve
">¶ Motꝰ o vniformiṫ diffor-
<
lb
/>
mis q̊ ad tēpꝰ ē qñ cuiꝰcū ꝑtꝪ / accepte m tēpꝰ .i. q̄
<
lb
/>
adeq̈te ē ī aliq̈ ꝑte tꝑis g̈dꝰ mediꝰ q̇ ē ī medio taĺ ꝑtꝪ
<
lb
/>
tãto excedit extremū remiſſiꝰ ̄to excedit̄̄ ab intēſio
<
lb
/>
ri. </
s
>
<
s
xml:id
="
N1C972
"
xml:space
="
preserve
">Exēplū / vt ſi aliqḋ mobile incipiat moueri a non
<
lb
/>
g̈du cõtinuo intendendo vniformiter motū ſuū per
<
lb
/>
aliqḋ tēpꝰ: tūc talis motꝰ eſt vniformiter difformis
<
lb
/>
q̊ ad tēpꝰ. </
s
>
<
s
xml:id
="
N1C97B
"
xml:space
="
preserve
">¶ Motꝰ aūt vniformiter difformis quo
<
lb
/>
ad tēpꝰ, et quo ad ſubiectū: definit̄̄ ↄ̨iūgēdo definiti
<
lb
/>
ones motꝰ vniformiṫ difformis quo ad tēpꝰ, et quo
<
lb
/>
ad ſubiectū.
<
note
position
="
right
"
xlink:href
="
note-0129-07a
"
xlink:label
="
note-0129-07
"
xml:id
="
N1C9C8
"
xml:space
="
preserve
">Diuiſio
<
lb
/>
motꝰ lo-
<
lb
/>
calis dif
<
lb
/>
formiter
<
lb
/>
diffor-
<
lb
/>
mis.</
note
>
</
s
>
<
s
xml:id
="
N1C989
"
xml:space
="
preserve
">¶ Motꝰ aūt difformiṫ difformis cõſi-
<
lb
/>
militer diuidi poteſt: videlicet motuū difformiter
<
lb
/>
difformiū alius eſt difformiter difformis quo ad
<
lb
/>
tempus, alius quo ad ſubiectum, alius quo ad tem
<
lb
/>
pus et ſubiectū ſimul. </
s
>
<
s
xml:id
="
N1C994
"
xml:space
="
preserve
">Et ſimiliter poteſt diuidi mo
<
lb
/>
tus vniformis, quãuis proprie ſecundum definiti-
<
lb
/>
onem datam ille motus ſit vniformis, quo in equa
<
lb
/>
libus partibus temporis equalia ſpacia pertran-
<
lb
/>
ſeūtur: et in nullis equalibus inequalia, ſiue talis </
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>