Alvarus, Thomas
,
Liber de triplici motu
,
1509
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 290
>
Scan
Original
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 290
>
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
="
N1C8AF
"
level
="
3
"
n
="
2
"
type
="
other
"
type-free
="
tractatus
">
<
div
xml:id
="
N1C8BC
"
level
="
4
"
n
="
1
"
type
="
chapter
"
type-free
="
capitulum
">
<
p
xml:id
="
N1CF60
">
<
s
xml:id
="
N1D024
"
xml:space
="
preserve
">
<
pb
chead
="
De motu locali quo ad effectum ſubiecto difformi.
"
file
="
0134
"
n
="
134
"/>
ſe extendit </
s
>
<
s
xml:id
="
N1D032
"
xml:space
="
preserve
">In ea em̄ parte eſt abyſſus multa et huiꝰ
<
lb
/>
materie laborynthus a capacitate intellectus fini-
<
lb
/>
ta in extricabilis et incomprehenſibilis: vt ibi vide-
<
lb
/>
bitur in poſitione variorum caſuum varia mõſtra
<
lb
/>
et difformitates motuum difformiter difformiū ad
<
lb
/>
tempus ponentium. </
s
>
<
s
xml:id
="
N1D03F
"
xml:space
="
preserve
">Et poſtremo aliquid quam bre
<
lb
/>
uiſſime potero de velocitate motus difformis quo
<
lb
/>
ad tp̄s et quo ad ſubiectū ſimul et ēt motꝰ mixti deter
<
lb
/>
minabo </
s
>
<
s
xml:id
="
N1D048
"
xml:space
="
preserve
">Et ſic trimembris dūtaxat erit huius mate
<
lb
/>
rie diſceptatio, et inquiſitio quibus determinatis
<
lb
/>
abſoluta fere erit.</
s
>
</
p
>
</
div
>
<
div
xml:id
="
N1D065
"
level
="
4
"
n
="
2
"
type
="
chapter
"
type-free
="
capitulum
">
<
head
xml:id
="
N1D06A
"
xml:space
="
preserve
">Capitulum ſecundum / in quo inueſtiga
<
lb
/>
tur diſputatiue et per modum queſtionis
<
lb
/>
penes quid attendi habeat motus loca-
<
lb
/>
lis difformis quo ad ſubiectum velocitas</
head
>
<
p
xml:id
="
N1D073
">
<
s
xml:id
="
N1D074
"
xml:space
="
preserve
">COnſequenter ad primi puncti
<
lb
/>
expeditionem accedens </
s
>
<
s
xml:id
="
N1D079
"
xml:space
="
preserve
">Queritur penes
<
lb
/>
quid tam̄ penes effectum motus diffor-
<
lb
/>
mis quod ad ſubiectum velocitas attendi habeat:
<
lb
/>
an videlicet penes lineam deſcriptam a puncto ve
<
lb
/>
lociſſime moto: an penes lineam deſcriptam a pun
<
lb
/>
cto in quo eſt gradus medius: an penes reductionē
<
lb
/>
ad vniformitatem.</
s
>
</
p
>
<
note
position
="
left
"
xml:id
="
N1D088
"
xml:space
="
preserve
">opinio
<
lb
/>
hētiſberi</
note
>
<
p
xml:id
="
N1D08E
">
<
s
xml:id
="
N1D08F
"
xml:space
="
preserve
">Et arguitur primo / non debeat attē
<
lb
/>
di penes primum / vt opinatur hentiſber in tracta-
<
lb
/>
tu de motu locali capite primo: quia ſi ſic ſequeret̄̄
<
lb
/>
pari ratione / deberet attendi penes punctum tar
<
lb
/>
diſſime motum: ſed hoc eſt falſum cum aliquãdo nõ
<
lb
/>
detur: igitur. </
s
>
<
s
xml:id
="
N1D09C
"
xml:space
="
preserve
">Patet conſequentia / quia non vide-
<
lb
/>
tur maior ratio de vno ꝙ̄ de altero. </
s
>
<
s
xml:id
="
N1D0A1
"
xml:space
="
preserve
">¶ Dices / ar-
<
lb
/>
guens dat rationem dicens / plerum non datur
<
lb
/>
punctus tardiſſime motus: et ideo non poterit con-
<
lb
/>
tinuo velocitas motus penes talem punctū attēdi.</
s
>
</
p
>
<
p
xml:id
="
N1D0AA
">
<
s
xml:id
="
N1D0AB
"
xml:space
="
preserve
">Sꝫ ↄ̨̨tra q2 etiã vt inferiꝰ videbit̄̄ da-
<
lb
/>
tur aliquis motus difformis quo ad ſubiectum cu-
<
lb
/>
ius non datur punctus continuo velociſſime motus /
<
lb
/>
vt patebit in rota rarefiente: igitur etiam non po-
<
lb
/>
teſt continuo attendi penes talem punctum: et ſi ta-
<
lb
/>
lis punctus continuo maneat non tamen linea quã
<
lb
/>
diſcribit adequate.
<
note
position
="
left
"
xlink:href
="
note-0134-01a
"
xlink:label
="
note-0134-01
"
xml:id
="
N1D0FE
"
xml:space
="
preserve
">cõfirma-
<
lb
/>
tio.</
note
>
</
s
>
<
s
xml:id
="
N1D0BF
"
xml:space
="
preserve
">¶ Et confirmatur / quia tunc ſe
<
lb
/>
queretur / rota vniformiter difformiter mota mo
<
lb
/>
ueretur continuo ita velociter ſicut medietas eius
<
lb
/>
que velocius mouetur: ſed hoc eſt falſum: igitur </
s
>
<
s
xml:id
="
N1D0C8
"
xml:space
="
preserve
">Cõ
<
lb
/>
ſequentia patet et falſitas conſequentis oſtenditur /
<
lb
/>
quoniam cum vtra medietas ſit equalis non va-
<
lb
/>
let ratio ſufficiens aſſignari quare potius ita velo
<
lb
/>
citer mouetur tota rota ſicut medietas vna et non ſi
<
lb
/>
cut altera (et volo / ly ita et ſicut diſtribuat): igitur
<
lb
/>
ſi ita velociter ſicut vna etiam ſicut et altera vel ſi-
<
lb
/>
cut neutra. </
s
>
<
s
xml:id
="
N1D0D9
"
xml:space
="
preserve
">¶ Dices / ideo dicitur moueri ita velo-
<
lb
/>
citer ſicut medietas eius que velociꝰ mouetur: et nõ
<
lb
/>
ſicut illa que tardius mouetur:
<
note
position
="
left
"
xlink:href
="
note-0134-02a
"
xlink:label
="
note-0134-02
"
xml:id
="
N1D106
"
xml:space
="
preserve
">phūs .2.
<
lb
/>
de aīa.</
note
>
quia iuxta dictū phi
<
lb
/>
loſophi ſecundo de anima dignum eſt vnumquod-
<
lb
/>
a digniori denominari. </
s
>
<
s
xml:id
="
N1D0E9
"
xml:space
="
preserve
">Tum etiam quia illd qḋ
<
lb
/>
deſcribitur a medietate / que velocius mouetur de-
<
lb
/>
ſcribitur a tota rota cathegorematice: et nullū ma-
<
lb
/>
ius ſpacium a tota rota deſcribitur: ſed quodlibet
<
lb
/>
minus vſ ad non gradum vel ad certum gradum
<
lb
/>
</
s
>
<
s
xml:id
="
N1D0F5
"
xml:space
="
preserve
">Non autem ſic eſt de ſpacio deſcripto a medietate
<
lb
/>
tardius mota.</
s
>
</
p
>
<
p
xml:id
="
N1D10E
">
<
s
xml:id
="
N1D10F
"
xml:space
="
preserve
">Sed contra / quia plerum nõ datur
<
lb
/>
punctus extremus: vt poſito / deus corrumpat in
<
lb
/>
rota omnia puncta extrema. </
s
>
<
s
xml:id
="
N1D116
"
xml:space
="
preserve
">Item etiam nominali
<
lb
/>
ſando non datur punctum extremum / quia termini
<
lb
/>
ſta omnia talia indiuiſibilia negat: et ſigmentum re
<
lb
/>
putat: igitur ſaltem ſecundum viam nominaliū nõ
<
lb
/>
poteſt ſumi velocitas motus difformis / quo ad ſub
<
cb
chead
="
De motu locali quo ad effectum ſubiecto difformi.
"/>
iectum penes lineam a puncto velociſſime moto de
<
lb
/>
ſcriptam.
<
note
position
="
right
"
xlink:href
="
note-0134-03a
"
xlink:label
="
note-0134-03
"
xml:id
="
N1D13C
"
xml:space
="
preserve
">Dicitur</
note
>
</
s
>
<
s
xml:id
="
N1D12B
"
xml:space
="
preserve
">¶ Dices / in tali caſu velocitas illiꝰ mo-
<
lb
/>
tus debet attendi penes lineam deſcriptam a pun-
<
lb
/>
cto imaginario poſito in peripheria / hoc eſt tota ro
<
lb
/>
ta tantam lineam deſcribit et tam velociter moue-
<
lb
/>
tur / quam velociter mouetur vnus punctum qui eſſet
<
lb
/>
in peripheria talis rote.</
s
>
</
p
>
<
p
xml:id
="
N1D142
">
<
s
xml:id
="
N1D143
"
xml:space
="
preserve
">Sed contra capio vnam rotam / q̄ dif-
<
lb
/>
formiter mouetur quo ad ſubiectum / et cum incipit
<
lb
/>
moueri incipiat maiorari per rarefactionem ita
<
lb
/>
punctus eius extremus continuo magis ac mgis di
<
lb
/>
ſtat a centro ita in principio totius rote diame-
<
lb
/>
ter ſit pedalis et in fine bipedalis. </
s
>
<
s
xml:id
="
N1D150
"
xml:space
="
preserve
">quo poſito ſic ar
<
lb
/>
guitur velocitas talis motus non poteſt attendi pe
<
lb
/>
nes lineam deſcriptam a puncto velociſſime moto:
<
lb
/>
igitur propoſitum. </
s
>
<
s
xml:id
="
N1D159
"
xml:space
="
preserve
">Arguitur antecedens / quia ta-
<
lb
/>
lis punctus nullam lineam deſcribit: quod proba-
<
lb
/>
tur ſic / quia nullam circularem vt notum eſt cū non
<
lb
/>
redeat ad idem punctum / a quo receſſit ſed ad pun-
<
lb
/>
ctum in duplo magis diſtans a centro. </
s
>
<
s
xml:id
="
N1D164
"
xml:space
="
preserve
">nec etiam li
<
lb
/>
neam rectam aliquam deſcribit: et non videtur quã
<
lb
/>
aliam lineam deſcribat: igitur non datur ibi linea
<
lb
/>
deſcripta a tali pnncto penes / quam poſſit veloci-
<
lb
/>
tas motus illius rote commenſurari
<
note
position
="
right
"
xlink:href
="
note-0134-04a
"
xlink:label
="
note-0134-04
"
xml:id
="
N1D196
"
xml:space
="
preserve
">2. confir.</
note
>
</
s
>
<
s
xml:id
="
N1D174
"
xml:space
="
preserve
">¶ Et confirma
<
lb
/>
tur / qua illa rota non mouetur ita velociter ſicut pū
<
lb
/>
ctus eius extremus mouetur in principio motus / vt
<
lb
/>
notum eſt / cum maiorem lineam deſcribat per totū
<
lb
/>
tempus / quam ſi rota maneret īuariata quo ad ma
<
lb
/>
gnitudinem, nec tanta velocitate quanta mouetur
<
lb
/>
in fine motus nec in medio inſtanti motus / quia tūc
<
lb
/>
hoc eſſet coincidere cum alia opinione que commen
<
lb
/>
ſurat penes gradum medium: igitur non videt̄̄ pe-
<
lb
/>
nes / quid attendi habeat velocitas talis motus. </
s
>
<
s
xml:id
="
N1D189
"
xml:space
="
preserve
">Et
<
lb
/>
ſic habetur / non omnis velocitas motus diffor-
<
lb
/>
mis quo ad ſubiectum attendi habeat penes veloci
<
lb
/>
tatem puncti velociſſime moti.</
s
>
</
p
>
<
p
xml:id
="
N1D19C
">
<
s
xml:id
="
N1D19D
"
xml:space
="
preserve
">Secundo principaliter contra eandē
<
lb
/>
partem arguitur: quia ſi illud eſſet verum ſequere-
<
lb
/>
tur hec concluſio / aliquod mobile continuo vnifor
<
lb
/>
miter moueretur et tamen quilibet punctus eius in
<
lb
/>
trinſecus continuo intenderet motum ſuuꝫ / ſed hoc
<
lb
/>
videtur impoſſibile / igitur illud ex quo ſequitur.</
s
>
</
p
>
<
p
xml:id
="
N1D1AA
">
<
s
xml:id
="
N1D1AB
"
xml:space
="
preserve
">Sequela tamen probatur: et capio vnam rotã quaꝫ
<
lb
/>
diuido in duas medietates circulares concentricas /
<
lb
/>
vt patet ſupra in figura et rarefiat continuo vnifor
<
lb
/>
miter dum talis rota mouetur circulariṫ medietas
<
lb
/>
interior verſus circunferentiam condenſando me-
<
lb
/>
dietatem ſuperiorem verſus circunferentiam quieſ
<
lb
/>
centibus continuo punctis circunferentialibus: ita
<
lb
/>
continuo equaliter diſtant a centro. </
s
>
<
s
xml:id
="
N1D1BC
"
xml:space
="
preserve
">quo poſito il
<
lb
/>
la rota continuo vniformiter mouetur / vt notum eſt
<
lb
/>
ex opinione et tamen quilibet punctus eius intrin-
<
lb
/>
ſecus continuo intendit motum ſuum (cum con-
<
lb
/>
tinuo magis ac magis diſtet a centro et ↄ̨tinuo ma
<
lb
/>
iorem lineam deſcribat) igitur. </
s
>
<
s
xml:id
="
N1D1C9
"
xml:space
="
preserve
">Poteſt vniuerſali-
<
lb
/>
ter inferri talis concluſio ſi in tali rota corrumpan
<
lb
/>
tur extrema puucta. </
s
>
<
s
xml:id
="
N1D1D0
"
xml:space
="
preserve
">¶ Dices / hoc non eſt inconue
<
lb
/>
niens / vt beue probat argumentum: </
s
>
<
s
xml:id
="
N1D1D5
"
xml:space
="
preserve
">Imo etiã alia
<
lb
/>
opinio idem tenetur concedere.</
s
>
</
p
>
<
p
xml:id
="
N1D1DA
">
<
s
xml:id
="
N1D1DB
"
xml:space
="
preserve
">Contra quia tunc pari pacto ſequere-
<
lb
/>
tur / aliquod mobile continuo vniformiter moue-
<
lb
/>
retur: et tamen quilibet punctus eius intrinſecus cõ
<
lb
/>
tinuo remitteret motum ſuum: ſed hoc videtur incõ
<
lb
/>
ueniēs: igitur </
s
>
<
s
xml:id
="
N1D1E6
"
xml:space
="
preserve
">Sequela probatur caſu poſito / me
<
lb
/>
dietas rote ſuperior rarefiat verſus medietatē in-
<
lb
/>
tenſiorem eam condenſando punctis extremis q̇e-
<
lb
/>
ſcentibus / quo poſito facile apparet propoſitum.</
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>