Alvarus, Thomas
,
Liber de triplici motu
,
1509
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
>
161
162
163
164
165
166
167
168
169
170
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 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
="
N20F21
"
level
="
3
"
n
="
3
"
type
="
other
"
type-free
="
tractatus
">
<
div
xml:id
="
N24010
"
level
="
4
"
n
="
2
"
type
="
chapter
"
type-free
="
capitulum
">
<
p
xml:id
="
N242E9
">
<
s
xml:id
="
N242F8
"
xml:space
="
preserve
">
<
pb
chead
="
Tertii tractatus
"
file
="
0205
"
n
="
205
"/>
oīno eodē modo ſicut diminuebat̄̄ acq̇rendo vnifor
<
lb
/>
miter quãtitatē ſicut eam deperdebat. </
s
>
<
s
xml:id
="
N24314
"
xml:space
="
preserve
">quo poſito
<
lb
/>
arguit̄̄ ſic .a. in inſtanti initiatiuo alterius hore ſe-
<
lb
/>
quentis incipit vniformiter acq̇rere quãtitatē quia
<
lb
/>
vniformiter deperdit in hora priori cum poſitis in
<
lb
/>
caſu: et tamen incipit in infinitū velociter augeri / vt
<
lb
/>
patet ex principio huiꝰ ſecūdi argumēti: igit̄̄ ꝓpo
<
lb
/>
ſitum.
<
note
position
="
left
"
xlink:href
="
note-0205-01a
"
xlink:label
="
note-0205-01
"
xml:id
="
N24336
"
xml:space
="
preserve
">Dicitur.</
note
>
</
s
>
<
s
xml:id
="
N24328
"
xml:space
="
preserve
">¶ Dices et bene cõcedēdo quod infertur: et ne
<
lb
/>
gando illud repugnet. </
s
>
<
s
xml:id
="
N2432D
"
xml:space
="
preserve
">Immo in tali caſu illud
<
lb
/>
ſeq̇tur ex hac poſitiõe.</
s
>
</
p
>
<
p
xml:id
="
N2433C
">
<
s
xml:id
="
N2433D
"
xml:space
="
preserve
">Sꝫ contra q2 tūc ſequeretur / quoti-
<
lb
/>
enſcun hora diuidit̄̄ ꝓportiõe dupla et aliq̇d inci
<
lb
/>
pit augeri a non quãto in qualibet parte ꝓportio-
<
lb
/>
nali acq̇rēdo vniformiter vnam ſui partē propor-
<
lb
/>
tionalē ꝓportione dupla: ip̄m incipit vniformiter
<
lb
/>
acq̇rere quãtitatē: et cõtinuo vniformiter aquirit.
<
lb
/>
</
s
>
<
s
xml:id
="
N2434B
"
xml:space
="
preserve
">Patet hoc / q2 in equalibꝰ partibꝰ tēporis equaleꝫ
<
lb
/>
quãtitatē oīno acquirit: ſꝫ cõſequēs eſt falſum: igit̄̄
<
lb
/>
illud ex quo ſequit̄̄. </
s
>
<
s
xml:id
="
N24352
"
xml:space
="
preserve
">Falſitas ↄ̨ſequētꝪ arguitur: q2
<
lb
/>
tunc ſeq̄retur / ſi duo inciperēt augeri a nõ quãto:
<
lb
/>
et vnū illorū in qualibet parte ꝓportionli tempo
<
lb
/>
ris ꝓportõe dupla iucipiēdo a minoribus acq̇reret
<
lb
/>
vniformiter vnã partē ꝓportionalē ſui ꝓportione
<
lb
/>
dupla ita in qualibet ꝑte ꝓportionali acq̇reret
<
lb
/>
proportionē duplã: et aliud in certa ꝓportione cõ-
<
lb
/>
tinuo velocius augeretur puta in qualibet parte ꝓ
<
lb
/>
portionali talis tēporis acquirēdo ꝓportionē qua
<
lb
/>
druplam vel octuplam cõtinuo: tunc illud quod in
<
lb
/>
certa proportiõe cõtinuo velocius augetur incipit
<
lb
/>
infinitū tarde acq̇rere de quãtitate: ſed ↄ̨ſequēs eſt
<
lb
/>
falſum: quia tūc ſequeret̄̄ / omne qḋ a nõ quãto in
<
lb
/>
cipit augeri: et in qualibet parte tēporis ꝓportio-
<
lb
/>
nali ꝓportione dupla maiorē ꝓportionē acquirit
<
lb
/>
quã dupla: ī īfinitū tarde acq̇reret de ̄titate quod
<
lb
/>
videt̄̄ oīno extraneū. </
s
>
<
s
xml:id
="
N24375
"
xml:space
="
preserve
">Sequela tamē ꝓbat̄̄: et volo /
<
lb
/>
a. ſic incipiat augeri a nõ quãto: et ī qualibet ꝑte
<
lb
/>
ꝓportiõali tēporis ꝓportiõe dupla acq̇rat pro
<
lb
/>
portionē duplã acq̇rendo vniformiter de quãtitate
<
lb
/>
et .b. in omni ↄ̨ſimili parte tēporis acquirat maio
<
lb
/>
rem proportionē dupla puta triplã vel quadruplã
<
lb
/>
vel octuplã, in idē redit, quo poſito arguitur ſic .a.
<
lb
/>
et .b. incipiūt augeri a nõ quãto: et .b. in certa ꝓpor-
<
lb
/>
tione cõtinuo velocius augebitur ꝙ̄ a. / ergo ſeq̇tur /
<
lb
/>
a. incipit in infinitū eē maius ip̄o .b. / et ꝑ ↄ̨ſequēs
<
lb
/>
incipit in infinitū maiorē quãtitatē acq̇rere ipſo .b. /
<
lb
/>
vt patet ex vltima replica ſecundi argumēti: et vltra
<
lb
/>
ſequitur / in infinitū maiorē quãtitatē acquirit .a.
<
lb
/>
̄ .b. in eodē tempore: et a. cõtinuo vniformiter et eq̄
<
lb
/>
velociter acquirit quãtitatē: ergo .b. incipit in infi-
<
lb
/>
nitū tarde acq̇rere de quãtitate / quod fuit ꝓbandū.</
s
>
</
p
>
<
note
position
="
left
"
xml:id
="
N24396
"
xml:space
="
preserve
">Cõfir° .2.</
note
>
<
p
xml:id
="
N2439A
">
<
s
xml:id
="
N2439B
"
xml:space
="
preserve
">Confirmatur ſecundo / quia ſi poſitio
<
lb
/>
eſſet vera ſequeret̄̄ / ſi a nõ quãto aliquid inciperet
<
lb
/>
augeri in qualibet parte ꝓportionali temporis ꝓ-
<
lb
/>
portiõe dupla diuiſi acquirēdo minorē ꝓportionē
<
lb
/>
̄ duplã: ip̄m inciperet in infinitū velociter acq̇rere
<
lb
/>
de quãtitate: ſꝫ cõſequēs eſt falſum: igitur illud ex
<
lb
/>
quo ſeq̇tur. </
s
>
<
s
xml:id
="
N243AA
"
xml:space
="
preserve
">Seq̄la ꝓbat̄̄ et capio .a. et .b. et volo / .a.
<
lb
/>
incipiat augeri a nõ quãto in qualibet parte ꝓpor
<
lb
/>
tionali tēporis ꝓportiõe dupla diuiſi acq̇rendo vni
<
lb
/>
formiter ↄ̨ſimilem partē ꝓportionalē ſui ꝓportio
<
lb
/>
ne dupla ita in qualibet tali parte tēporis acq̇-
<
lb
/>
rat vnã ꝓportionē duplã: et .b. in qualibet conſimili
<
lb
/>
parte tēporis acquirat vnã partē ꝓportionalē ſui
<
lb
/>
ꝓportione minori dupla puta ſexquitertia vel ſex
<
lb
/>
quialtera. </
s
>
<
s
xml:id
="
N243BD
"
xml:space
="
preserve
">Quo poſito arguit̄̄ ſic .a. et .b. incipiunt
<
lb
/>
augeri a nõ quãto: et b. ī certa ꝓportiõe cõtinuo tar
<
lb
/>
dius ip̄o .a. / igit̄̄ incipit eē in infinitū maius ipſio .a. /
<
lb
/>
et per ↄ̨ſequens incipit in infinitū velociter maiorē
<
cb
chead
="
Capi. ſecundum
"/>
quãtitatē acq̇rere ꝙ̄ a. in eodem tēpore. </
s
>
<
s
xml:id
="
N243C9
"
xml:space
="
preserve
">Patēt conſe-
<
lb
/>
quentia vt prius: et a. cõtinuo certe velociter acq̇rit
<
lb
/>
quãtitatē vt poſitū eſt: igit̄̄ .b. in infinitū velociter ac
<
lb
/>
quirit quãtitatē / quod fuit ꝓbadū. </
s
>
<
s
xml:id
="
N243D2
"
xml:space
="
preserve
">Sꝫ iam probo
<
lb
/>
falſitatē cõſequētis: q2 tūc ſequeretur / ſi a. et b. in
<
lb
/>
ciperet a nõ quãto augeri: et a. in qualibet parte
<
lb
/>
ꝓportionali tēporis proportiõe dupla acquereret
<
lb
/>
proportionē ſexquialterã: et b. in cõſimili parte cõ-
<
lb
/>
tinuo acq̇reret ꝓportiõeꝫ ſexquitertiã: tunc vtrun
<
lb
/>
illorū inciperet infinite velociter acquirere de quã
<
lb
/>
titate: et ꝑ cõſequēs .b. nõ īciperet velocius acq̇rere
<
lb
/>
de quãtitate ꝙ̄ a. et ſic nõ inciperet in īfinitū eē maiꝰ
<
lb
/>
ipſo a. / quod eſt ↄ̨tra cõcluſionē ꝓbatã in vltima re
<
lb
/>
plica ſecundi argumēti. </
s
>
<
s
xml:id
="
N243E9
"
xml:space
="
preserve
">Falſitas cõſequētis patet /
<
lb
/>
quia nõ videt̄̄ poſſibile vtrū illorū inciperet in
<
lb
/>
finite velociter acquirere de quãtitate: et tamē vnuꝫ
<
lb
/>
illorum inciperet in infinitū velocius altero acqui-
<
lb
/>
rere. </
s
>
<
s
xml:id
="
N243F4
"
xml:space
="
preserve
">Cõſequētia tamē patet / quia vtrū illorū inci
<
lb
/>
pit augeri a nõ quãto continuo in qualibet parte ꝓ-
<
lb
/>
portionali tēporis ꝓportiõe dupla acquirēdo mi-
<
lb
/>
norē ꝓportionem dupla: igitur.</
s
>
</
p
>
<
note
position
="
right
"
xml:id
="
N243FD
"
xml:space
="
preserve
">Cõfir° .3.</
note
>
<
p
xml:id
="
N24401
">
<
s
xml:id
="
N24402
"
xml:space
="
preserve
">Confirmatur tertio / quia ſi poſitio eēt
<
lb
/>
vera ſeq̄retur / quãtuncun magnū corpus ſit di
<
lb
/>
uiſum per partes ꝓportionales aliquã proportio
<
lb
/>
ne: et aliud quãtuncū parū diuiſum per partes
<
lb
/>
ꝓportionales aliqua proportione minori: in infini
<
lb
/>
tū maior eſt aliqua pars proportionalis minoris
<
lb
/>
parte proportionali correſpõdente maioris: ſꝫ cõ-
<
lb
/>
ſequens apparet falſum: igitur illud ex quo ſequit̄̄
<
lb
/>
</
s
>
<
s
xml:id
="
N24414
"
xml:space
="
preserve
">Sequela probatur / q2 ſi non detur vnū cētupedale
<
lb
/>
diuiſum ꝑ partes proportionales proportiõe qua
<
lb
/>
durupla: et vnū ſemipedale vel quãtūcū paruum
<
lb
/>
volueris diuiſum ꝑ partes portionales proportio
<
lb
/>
ne ſexquitertia ſeu quauis alia proportiõe minori
<
lb
/>
quadrupla: et diminuãtur illa duo vſ ad nõ ̄tuꝫ
<
lb
/>
ita maius cõtinuo in qualibet parte proportio-
<
lb
/>
nali tēporis proportiõe dupla vnã ſui partiē pro-
<
lb
/>
portionalē perdat ꝑdēdo proportionē quadruplã
<
lb
/>
et ſemipedale in qualibet parte cõſimili perdat ꝓ-
<
lb
/>
portionē ſexquitertiã ꝑdendo vnam partē propor-
<
lb
/>
tionalē ſui proportiõe ſextertia quouſ veniãt ad
<
lb
/>
nõ quãtū: tūc volo / īcipiãt oīno eodē modo acqui
<
lb
/>
rere quãtitates deperditas et oīno eodē modo au-
<
lb
/>
geri ſicut diminuebant̄̄. </
s
>
<
s
xml:id
="
N24433
"
xml:space
="
preserve
">Quo poſito arguitur ſic
<
lb
/>
illud / qḋ fuit cētupedale: et illḋ quod fuit ſemipe
<
lb
/>
dale incipit in certa portiõe tardius cõtinuo auge-
<
lb
/>
ri ꝙ̄ centupedale: igit̄̄ illud qḋ fuit ſemipedale inci
<
lb
/>
pit in infinitū eē maius illo altero quod fuit centi-
<
lb
/>
pedale: et illud qḋ fuit centipedale incipit acquire-
<
lb
/>
re partes proportionales proportiõe quadrupla
<
lb
/>
quas antea ṗdidit: et illḋ qḋ fuit ſemipedale īcipit
<
lb
/>
acq̇rere partes proportionales proportione ſexq̇-
<
lb
/>
tertia quas antea deꝑdit: igit̄̄ incipit in infinitum
<
lb
/>
maiores partes acquirere illud quod fuit ſemipe-
<
lb
/>
dale ꝙ̄ illud qḋ fuit centipedale. </
s
>
<
s
xml:id
="
N2444C
"
xml:space
="
preserve
">Patet cõſequētia /
<
lb
/>
q2 immediate poſt illud qḋ fuit ſemipedale in infi-
<
lb
/>
nitū erit maius illo qḋ fuit centipedale. </
s
>
<
s
xml:id
="
N24453
"
xml:space
="
preserve
">igit̄̄ imme-
<
lb
/>
diate poſt hoc in infinitū maiores erunt partes pro
<
lb
/>
portiõales illius proportiõe ſexquitertia partibꝰ
<
lb
/>
proportionalibꝰ alterius proportiõe quadrupla:
<
lb
/>
et tales partes īcipit acq̇rere: et ſemꝑ acq̇runt par-
<
lb
/>
tes correſpõdētes ſicut deperdebãt: igit̄̄ in infinitū
<
lb
/>
maior eſt aliqua pars proportionalis minoris ꝑ-
<
lb
/>
te proportionali correſpõdente maioris quod fuit
<
lb
/>
probandum.</
s
>
</
p
>
<
p
xml:id
="
N24466
">
<
s
xml:id
="
N24467
"
xml:space
="
preserve
">Tertio prīcipaliter ad idem arguitur
<
lb
/>
ſic. </
s
>
<
s
xml:id
="
N2446C
"
xml:space
="
preserve
">Si illa poſitio eſſet vera ſeq̄retur hec cõcluſio </
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>