Alvarus, Thomas
,
Liber de triplici motu
,
1509
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Figures
Content
Thumbnails
Table of contents
<
1 - 30
31 - 42
[out of range]
>
<
1 - 30
31 - 42
[out of range]
>
page
|<
<
of 290
>
>|
<
echo
version
="
1.0
">
<
text
xml:lang
="
la
">
<
div
xml:id
="
N10132
"
level
="
1
"
n
="
1
"
type
="
body
">
<
div
xml:id
="
N15C17
"
level
="
2
"
n
="
3
"
type
="
other
"
type-free
="
pars
">
<
div
xml:id
="
N15C22
"
level
="
3
"
n
="
1
"
type
="
other
"
type-free
="
tractatus
">
<
div
xml:id
="
N18B2D
"
level
="
4
"
n
="
9
"
type
="
chapter
"
type-free
="
capitulum
">
<
p
xml:id
="
N194B6
">
<
s
xml:id
="
N194F8
"
xml:space
="
preserve
">
<
pb
chead
="
Finis de motu penes cauſã in medio difformit̄̄ difformi.
"
file
="
0096
"
n
="
96
"/>
ſire idem ſpacium: et a. continuo intenditur: et alia
<
lb
/>
potentia nõ: ſed manet inuariata: igitur a. tardius
<
lb
/>
remittit motum ſuū quam illa potentia: et ſic potē-
<
lb
/>
tia a. continuo tardius remittit motum ſuū quam
<
lb
/>
aliqua illarum (eſto / ly aliqua illarum ſtet confu
<
lb
/>
ſe / vt dictum eſt). </
s
>
<
s
xml:id
="
N19518
"
xml:space
="
preserve
">Conſequentia tamen patet / q2 in-
<
lb
/>
tenſio potentie impedit remiſſionē motus: ſed ipſa
<
lb
/>
a. potentia continuo intenditur, alia vero potētia
<
lb
/>
nõ: igitur ſua intenſio impedit remiſſionem motus</
s
>
</
p
>
<
p
xml:id
="
N19521
">
<
s
xml:id
="
N19522
"
xml:space
="
preserve
">Reſpondeo negando antecedens vi-
<
lb
/>
delicet / a. in infinitū tarde remittit motum ſuū: et
<
lb
/>
ad probationē admiſſo caſu concedo maiorem: et
<
lb
/>
nego minorem. </
s
>
<
s
xml:id
="
N1952B
"
xml:space
="
preserve
">In nullo enim tēpore a. cõtinuo tar
<
lb
/>
dius remittit motum ſuū quam aliqua illarum po
<
lb
/>
tentiarum (etiam ſi ly aliqua illarum ſupponat cõ
<
lb
/>
fuſe tantū) et ad probationem minoris nego conſe
<
lb
/>
quentiã, et ad probationē nego / vniuerſaliter in-
<
lb
/>
tenſio potentie impediat remiſſionem motus in eo
<
lb
/>
dem tēpore. </
s
>
<
s
xml:id
="
N1953A
"
xml:space
="
preserve
">Uolo dicere / ſtat / due potentie ſint
<
lb
/>
equales, et incipiant ab eodē puncto remittere mo
<
lb
/>
tum ſuū, et vna intenditur, et alia nõ: tamen illa que
<
lb
/>
intenditur velocius remittat motum ſuū ꝙ̄ illa que
<
lb
/>
nõ intenditur in eodem tempore. </
s
>
<
s
xml:id
="
N19545
"
xml:space
="
preserve
">Et etiã poteſt ſta-
<
lb
/>
re oppoſitum vt apparebit inferius: ſed bene con-
<
lb
/>
cedo / intenſio potentie impedit remiſſionem ideꝫ
<
lb
/>
ſpacium adequate tranſeundo. </
s
>
<
s
xml:id
="
N1954E
"
xml:space
="
preserve
">Uolo dicere / ſi a-
<
lb
/>
liqua potētia tranſeundo vnam certam partē illiꝰ
<
lb
/>
c. medii remitteret motum ſuū ſi maneret nõ varia-
<
lb
/>
ta: dico / eandem partem tranſeundo quando in-
<
lb
/>
tenditur nõ tantū remitteret motum ſuū / vt ſepius
<
lb
/>
dictum eſt.
<
note
position
="
left
"
xlink:href
="
note-0096-01a
"
xlink:label
="
note-0096-01
"
xml:id
="
N19620
"
xml:space
="
preserve
">pḣus .6.
<
lb
/>
phi.</
note
>
</
s
>
<
s
xml:id
="
N19560
"
xml:space
="
preserve
">Sed iſto modo intelligēdo probatio nõ
<
lb
/>
procedit / q2 velocitas et tarditas remiſſionis latitu
<
lb
/>
dinis motus debet attendi penes tēpus in quo fit et
<
lb
/>
nõ penes ſpaciū in quo fit / vt ptꝫ in diffinitione ve-
<
lb
/>
locis et tardi ſexto phiſicorū.
<
note
position
="
left
"
xlink:href
="
note-0096-02a
"
xlink:label
="
note-0096-02
"
xml:id
="
N19628
"
xml:space
="
preserve
">1. correĺ.</
note
>
</
s
>
<
s
xml:id
="
N19570
"
xml:space
="
preserve
">¶ Ex his ſequitur pri
<
lb
/>
mo / ſtat duas potētias equales incipere moueri
<
lb
/>
ab eodē puncto alicuiꝰ medii in eodē inſtanti ſus
<
lb
/>
idē punctū quarū vna intenditur, et alia nõ varia-
<
lb
/>
tur, et ſe habere tripliciter. </
s
>
<
s
xml:id
="
N1957B
"
xml:space
="
preserve
">Uno modo / potentia
<
lb
/>
nõ variata remittat motum ſuū, et alia que intēdi-
<
lb
/>
tur in potētia continuo moueatur vniformiter, vt ſi
<
lb
/>
tantã ꝓportionē acquirat per intenſionē potentie
<
lb
/>
quantã deperdit per acquiſitionē reſiſtentie. </
s
>
<
s
xml:id
="
N19586
"
xml:space
="
preserve
">Scḋo
<
lb
/>
modo poſſunt ſe ita habere / nõ variata continuo
<
lb
/>
remittat motum ſuū, et illa que intenditur continuo
<
lb
/>
intendat motū ſuū idē mediū tranſeundo: vt eſto
<
lb
/>
maiorē proportionē acquirat per ſui intenſionem
<
lb
/>
quam deperdat per acquiſitionē reſiſtētie. </
s
>
<
s
xml:id
="
N19593
"
xml:space
="
preserve
">Tertio
<
lb
/>
modo poſſunt ſe habere taliter / nõ variata conti
<
lb
/>
nuo remittat motū ſuū, et altera que intenditur ſi-
<
lb
/>
militer continuo remittat motum ſuū: vt poſito
<
lb
/>
illa que intēditur maiorē proportionem deperdat
<
lb
/>
per acquiſitionē reſiſtentie ꝙ̄ acquirat per intēſio
<
lb
/>
nem potentie.
<
note
position
="
left
"
xlink:href
="
note-0096-03a
"
xlink:label
="
note-0096-03
"
xml:id
="
N1962E
"
xml:space
="
preserve
">2. correĺ</
note
>
</
s
>
<
s
xml:id
="
N195A7
"
xml:space
="
preserve
">¶ Sequitur ſecundo / ſtat duas po-
<
lb
/>
tētias equales incipere moueri ab eodē puncto ver
<
lb
/>
ſus idem punctū medii per quod vtra cõtinuo re-
<
lb
/>
mittit motum ſuū: et vnam intendi et aliam manere
<
lb
/>
īuariatam: et tamen illam que intenditur tardius
<
lb
/>
remittere motum ſuū. </
s
>
<
s
xml:id
="
N195B4
"
xml:space
="
preserve
">Probatur / et ſit b. potentia
<
lb
/>
que nõ variata c. mediū īuariatū pertranſit vnifor
<
lb
/>
miter cõtinuo remittando motum ſuū: et a. potētia
<
lb
/>
equalis ei ponatur in puncto intrinſeco c. medii ad
<
lb
/>
quod a. potentia habet in h. ꝓportione ꝓportionē
<
lb
/>
minorē quã b. potētia habeat ad punctū initiatiuū
<
lb
/>
c. medii: et moueatur b. potētia puncto initiatiuo
<
lb
/>
c. medii: et a. potentia ſimul a puncto intrinſeco ad
<
lb
/>
quod habet in h. ꝓportione ꝓportionē minorē: cõ-
<
lb
/>
tinuo in h. ꝓportione tardius mouendo quã b. po-
<
lb
/>
tentia: et manifeſtum eſt / a. potentia cõtinuo vni-
<
cb
chead
="
Finis de motu penes cauſã in medio difformit̄̄ difformi.
"/>
formiter remittit motum ſuū in h. proportione tar
<
lb
/>
dius ꝙ̄ b. potentia: et antē b. attingat a. continuo
<
lb
/>
a. intēdit potentiã ſuam. </
s
>
<
s
xml:id
="
N195D2
"
xml:space
="
preserve
">Incipiat / igitur vna alia
<
lb
/>
potentia equalis ipſi a. ſimul in eodem inſtanti ab
<
lb
/>
eodem puncto verſus idem punctum inuariata mo
<
lb
/>
ueri cum a. potentia intendente continuo poñaꝫ ſu
<
lb
/>
am: et clarum eſt / vtra illarum vniformiter re-
<
lb
/>
mittit motuꝫ ſuum: et a. potētia continuo intendēs
<
lb
/>
potentiam ſuam continuo in h. proportione tardi
<
lb
/>
us / vt ex dictis in octauo capite facile ꝓbari poteſt:
<
lb
/>
igitur correlarium verum
<
note
position
="
right
"
xlink:href
="
note-0096-04a
"
xlink:label
="
note-0096-04
"
xml:id
="
N19634
"
xml:space
="
preserve
">3. correl.</
note
>
</
s
>
<
s
xml:id
="
N195EA
"
xml:space
="
preserve
">¶ Sequitur tertio / ſtat
<
lb
/>
duas potentias equales incipere moueri in eodem
<
lb
/>
inſtanti, ab eodem puncto, verſus idem punctum,
<
lb
/>
alicuius medii per quod vtra continuo remittit
<
lb
/>
motum ſuum: et vnam illarum manere inuariatam
<
lb
/>
et aliam continuo remitti: et tamen illam que con-
<
lb
/>
tinue remittitur velocius continuo remittere motū
<
lb
/>
ſuum. </
s
>
<
s
xml:id
="
N195FB
"
xml:space
="
preserve
">Probatur correlarium caſu prioris correla
<
lb
/>
rii retento: hoc addito / b. potētia ponatur in pū
<
lb
/>
cto intrinſeco c. medii: et a. potētia equalis ei in pū-
<
lb
/>
cto initiatiuo: et ſimul in eodem inſtanti ab illis pū
<
lb
/>
ctis incipiant moueri a. continuo in ea proportiõe
<
lb
/>
velocius in qua proportio ipſius a. ad punctū ini-
<
lb
/>
tiatiuū eſt maior proportione ipſius b. ad punctuꝫ
<
lb
/>
intrinſecum c. medii / ad quod ponitur cum alia po-
<
lb
/>
tentia ei equali inuariata. </
s
>
<
s
xml:id
="
N1960E
"
xml:space
="
preserve
">Quo poſito ex dictis in
<
lb
/>
octauo capite facile probatur correlarium. </
s
>
<
s
xml:id
="
N19613
"
xml:space
="
preserve
">Et hec
<
lb
/>
de motu penes cauſam in medio difformiter diffor
<
lb
/>
mi variato, et inuariato, potentia variata, et quie-
<
lb
/>
ſcente, dicta ſufficiant.</
s
>
</
p
>
<
p
xml:id
="
N1963A
">
<
s
xml:id
="
N1963B
"
xml:space
="
preserve
">¶ Sequitur de motu locali penes
<
lb
/>
cauſam in medio vniformiter diffor-
<
lb
/>
mi q̇eſcente: potētia cõtinuo variata.</
s
>
</
p
>
</
div
>
<
div
xml:id
="
N19642
"
level
="
4
"
n
="
10
"
type
="
chapter
"
type-free
="
capitulum
">
<
head
xml:id
="
N19647
"
xml:space
="
preserve
">Capitulum decimum / in quo oſten-
<
lb
/>
ditur, et traditur noticia velocitatis
<
lb
/>
motus penes cauſam in medio vni-
<
lb
/>
formiter difformi quieſcente: poten-
<
lb
/>
tia continuo variata.</
head
>
<
p
xml:id
="
N19652
">
<
s
xml:id
="
N19653
"
xml:space
="
preserve
">COnſequenter dicēdum eſt de
<
lb
/>
velocitate motus / qui fit in medio vni-
<
lb
/>
formiter difformi quieſcente variata ta
<
lb
/>
men continuo potentia: inſequendo calculatorē in
<
lb
/>
ſecūdo capitulo de medio nõ reſiſtēte: quãuis illud
<
lb
/>
caput nõ debet dici ſiue inſcribi de medio non reſi-
<
lb
/>
ſtente: q2 in eo non agitur niſi de medio vniformi-
<
lb
/>
ter difformiter reſiſtente. </
s
>
<
s
xml:id
="
N19664
"
xml:space
="
preserve
">¶ Ad inducendas igit̄̄ cõ-
<
lb
/>
cluſiones: vnicam premitto ſuppoſitionem.</
s
>
</
p
>
<
p
xml:id
="
N19669
">
<
s
xml:id
="
N1966A
"
xml:space
="
preserve
">In omni latitudine vniformiter dif-
<
lb
/>
formi, oīm duaꝝ partiū equaliū extremū intēſiꝰ ꝑ
<
lb
/>
equalē latitudinē excedit extremū remiſſiꝰ. </
s
>
<
s
xml:id
="
N19671
"
xml:space
="
preserve
">Proba
<
lb
/>
tur / q2 cuiuſlibet latitudinis vniformiter difformis
<
lb
/>
vtriuſ medietatis extremū intēſiꝰ per equalē la-
<
lb
/>
titudinem excedit extremum ſuū remiſſius: et cuiuſli
<
lb
/>
bet tertie extremum intenſius per equalem latitudi
<
lb
/>
nem excedit extremū remiſſius, et cuiuſlibet quarte
<
lb
/>
et cuiuſlibet quinte .etc̈. et ſic de quibuſcū aliis par
<
lb
/>
tibus equalibus, ſiue partes aliquote ſint ſiue non
<
lb
/>
igitur in latitudine vniformiter difformi oīm dua-
<
lb
/>
rum partium equaliū extremū intenſius per equa-
<
lb
/>
lem latitudinem excedit extremū remiſſius. </
s
>
<
s
xml:id
="
N19688
"
xml:space
="
preserve
">Conſe-
<
lb
/>
quentia ptꝫ, et probatur antecedens, q2 captis dua
<
lb
/>
bus medietatibus extremū intenſius intenſioris ꝑ
<
lb
/>
equalē latitudinē excedit extremū remiſſius eiuſdē:
<
lb
/>
ſicut extremū intēſius remiſſioris medietatis extre
<
lb
/>
mū remiſſius eiuſdē remiſſioris medietatis vel nõ
<
lb
/>
gradū. </
s
>
<
s
xml:id
="
N19697
"
xml:space
="
preserve
">Quod probatur ſic / quia extremū intenſius
<
lb
/>
medietatꝪ remiſſioris eſt g̈dus mediꝰ inter extremū
<
lb
/>
intēſius intēſioris medietatis et extremū remiſſius </
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>