Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 355
>
Scan
Original
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 355
>
page
|<
<
of 355
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002627
">
<
pb
pagenum
="
152
"
xlink:href
="
009/01/152.jpg
"/>
quia in nulla proportione fertur, propterea per circularem lineam B E C,
<
lb
/>
progreditur ad C, ita vt ipſa diameter B D, in poſitione A C, fiat perpendi
<
lb
/>
cularis priori diametro B D. ex quibus ſequitur eam moueri duobus moti
<
lb
/>
bus nullam rationem habentibus; quod erat intentum.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002628
">Hoc modo Ariſt. probare conatur, lineam circulum deſcribentem, dua
<
lb
/>
bus ferri lationibus, quæ nullam habeant analogiam: Verùm, vt liberè fa
<
lb
/>
tear nullo modo mihi videtur intentum aſſequi, nam
<
expan
abbr
="
neq;
">neque</
expan
>
ex dictis pater,
<
lb
/>
ipſam duobus motibus ferri, quibus opus eſſet: neque patet eos (quamuis
<
lb
/>
concedantur) nullam inuicem habere analogiam: qui enim fieri poteſt, vt
<
lb
/>
duo motus reperiantur, quì nulla ſe mutuò habitudine reſpiciant? </
s
>
<
s
id
="
s.002629
">Præte
<
lb
/>
rea ſi B, ferretur illis motibus, non ſequitur debere moueri per lineam cir
<
lb
/>
cularem, cum præter lineam rectam ſint plures curuæ, quæ tamen non ſunt
<
lb
/>
circulares, vt ſunt ſectiones parabolicæ, & lineæ ſpirales. </
s
>
<
s
id
="
s.002630
">Deinde pergit.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002631
">
<
arrow.to.target
n
="
marg231
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002632
">
<
margin.target
id
="
marg231
"/>
241</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002633
">Vt autem cauſa appareat, cur ea, quæ à centro longior eſt linea velocius
<
lb
/>
moueatur, ſiue quod in eadem ſemidiametro remotiora puncta à
<
expan
abbr
="
cẽtro
">centro</
expan
>
ve
<
lb
/>
locius moueantur, vt ſupra dictum eſt, ſciendum eſt, Quod ſi duo mouean
<
lb
/>
tur ab eadem potentia, quorum vnum à quopiam alio mouente plus repel
<
lb
/>
latur à motu priori, alterum verò minus, rationi
<
expan
abbr
="
cõſentaneum
">conſentaneum</
expan
>
eſſe, tardius
<
lb
/>
moueri id, quod plus, eo quod minus impeditur; quod videtur accidere
<
lb
/>
maiori, & minori illarum, quæ à centro egreſſæ circulos delineant. </
s
>
<
s
id
="
s.002634
">quoniam
<
lb
/>
enim propius eſt manenti eius, quæ minor eſt extremum, quàm extremum
<
lb
/>
maioris, propterea plus à centro, cui propius eſt, retrahitur à priori mo
<
lb
/>
tu,
<
expan
abbr
="
hincq́
">hincque</
expan
>
; motus eius tardior redditur, ideſt, quia centro propius eſt; hinc
<
lb
/>
fit, vt extremum illud deſcribat lineam circularem quidem, ſed tamen
<
lb
/>
curuiorem quam deſcribat extremum longioris lineæ, quæ circulum minus
<
lb
/>
curuum, ſeu magis ad rectam lineam accedentem delineat. </
s
>
<
s
id
="
s.002635
">omni quidem
<
lb
/>
igitur lineæ circulum deſcribenti iſtud accidit, vt duobus feratur motioni
<
lb
/>
bus; vna quidem, quæ illi naturalis, ac ſecundum circunferentiam, qua re
<
lb
/>
ctà tenderet niſi impediretur: altera verò, quæ illi innaturalis, qua in tranſ
<
lb
/>
uerſum agitur, ſeu ſecus centrum, ob quam cogitur in gyrum duci, minor
<
lb
/>
autem linea ſecundum hanc motionem innaturalem plus fertur, quàm ma
<
lb
/>
ior, ideſt plus ipſius progreſſio inflectitur in orbem; quia enim eſt centro
<
lb
/>
<
figure
id
="
id.009.01.152.1.jpg
"
place
="
text
"
xlink:href
="
009/01/152/1.jpg
"
number
="
81
"/>
<
lb
/>
vicinior, quod quodammodo retra
<
lb
/>
hit à motu naturali, propterea ma
<
lb
/>
gis vincitur, quàm remotior. </
s
>
<
s
id
="
s.002636
">Quod
<
lb
/>
ex his erit
<
expan
abbr
="
manifeſtũ
">manifeſtum</
expan
>
. </
s
>
<
s
id
="
s.002637
">ſit circulus vbi
<
lb
/>
B C E D, & alter in eo minor, vbi
<
lb
/>
N M O P, circa idem centrum A. &
<
lb
/>
proijciantur diametri in magno qui
<
lb
/>
dem C D, B E, in minori verò M O,
<
lb
/>
N P. & altera parte longius quadri
<
lb
/>
laterum compleatur D K R C. ſi igi
<
lb
/>
tur ſemidiameter A B, circumacta
<
lb
/>
deſcribit circulum maiorem, reuer
<
lb
/>
titur tandem ad locum B A, vnde di
<
lb
/>
greſſa eſt. </
s
>
<
s
id
="
s.002638
">ſimiliter M A, circumuoluta </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>