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
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
<
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.000764
">
<
pb
pagenum
="
39
"
xlink:href
="
009/01/039.jpg
"/>
ineſſe; ſic græcè,
<
foreign
lang
="
grc
">έκ τῶν κατὰ αληθείαν διαγεγραμμένον </
foreign
>
vbi manifeſtè vtitur
<
lb
/>
verbo, Deſcribere, per quod ſuperius annotauimus apud Ariſt. ſignificari
<
lb
/>
Geometricas demonſtrationes, nam eas opponit dialecticis ſyllogiſmis, ſe
<
lb
/>
quentibus verbis, cum dixit (ad dialecticos autem ſyllogiſmos ex propoſi
<
lb
/>
tionibus ſecundum opinionem) hac adhibita conſideratione, quam inter
<
lb
/>
pres non videtur adhibuiſſe, ſenſus huius loci non erit obſcurus.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000765
">
<
arrow.to.target
n
="
marg8
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000766
">
<
margin.target
id
="
marg8
"/>
8</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000767
">Ex eodem loco paulo poſt
<
emph
type
="
italics
"/>
(Quare principia quidem, quæ ſecundum
<
expan
abbr
="
vnum-quodq;
">vnum
<
lb
/>
quodque</
expan
>
ſunt experimenti est tradere: dico autem, vt aſtrologicam experientiam
<
lb
/>
aſtrologicæ ſcientiæ: acceptis enim apparentibus
<
expan
abbr
="
ſufficiẽter
">ſufficienter</
expan
>
, ita inuentæ ſunt aſtro
<
lb
/>
logicæ demonstrationes)
<
emph.end
type
="
italics
"/>
Cum rationem tradat inueniendorum mediorum ad
<
lb
/>
quodlibet problema demonſtrandum; nunc docet, non omnia in ſcientijs
<
lb
/>
poſſe probari, aut demoνſtrari: principia enim ſcientiarum
<
expan
abbr
="
nõ
">non</
expan
>
demonſtran
<
lb
/>
tur, ſed ſola experientia manifeſta ſunt; vt patet in Aſtronomia, quæ ab ex
<
lb
/>
perientia ſua ſolet ſtabilire principia: principijs autem
<
expan
abbr
="
experimẽto
">experimento</
expan
>
conſti
<
lb
/>
tutis ex ipſis reliqua problemata
<
expan
abbr
="
demonſtrãtur
">demonſtrantur</
expan
>
. </
s
>
<
s
id
="
s.000768
">duo autem ſunt apud aſtro
<
lb
/>
nomos genera experimenti, primum dicitur Phænomena, ideſt,
<
expan
abbr
="
apparẽtiæ
">apparentiæ</
expan
>
;
<
lb
/>
& ſunt ea, quæ vulgo omnibus patent, vt Solem oriri, & occidere; aſtra fer
<
lb
/>
ri circulariter, diem augeri modo, modo minui: & his ſimilia. </
s
>
<
s
id
="
s.000769
">alterum ge
<
lb
/>
nus dicitur obſeruationes, quæ tantummodo aſtronomiæ peritis per obſer
<
lb
/>
uationem innoteſcunt, vt Solem inæqualiter ferri proprio motu per Zodia
<
lb
/>
cum; aliquando maiorem, aliquando minorem videri; plures dies immo
<
lb
/>
rari citra æquatiorem in parte Zodiaci boreali, quam in altera vltra æqua
<
lb
/>
torem auſtrali. </
s
>
<
s
id
="
s.000770
">dies naturales eſſe inuicem inæquales, &c. </
s
>
<
s
id
="
s.000771
">ex quibus deinde
<
lb
/>
ponunt eccentricos, & augem, ad ſaluandas tum apparentias, tum obſerua
<
lb
/>
tiones; & hac ratione aſtrologica ſcientia paulatim reperta eſt, ac in dies
<
lb
/>
reperitur.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000772
">
<
arrow.to.target
n
="
marg9
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000773
">
<
margin.target
id
="
marg9
"/>
9</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000774
">Ex cap. 3. ſecti 2. lib. 1.
<
emph
type
="
italics
"/>
(Vt an ne diameter incomm.)
<
emph.end
type
="
italics
"/>
loquitur de aſymme
<
lb
/>
tria diametri, & coſtæ eiuſdem quadrati, de qua fusè egimus ſuperius in
<
lb
/>
cap. 23. ſecti 1. huius libri; quæ ſi repetantur, optimè hunc
<
expan
abbr
="
locũ
">locum</
expan
>
declarant.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000775
">
<
arrow.to.target
n
="
marg10
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000776
">
<
margin.target
id
="
marg10
"/>
10</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000777
">Ex cap. 1. ſecti 3. lib. 1.
<
emph
type
="
italics
"/>
(Sit A, duo recti, in quo B, triangulus, in quo C,
<
lb
/>
æquicrus, ipſi
<
expan
abbr
="
itaq;
">itaque</
expan
>
C, ineſt A. per B; ipſi vero B, non amplius per aliud, per ſe
<
lb
/>
namque triangulus habet duos rectos)
<
emph.end
type
="
italics
"/>
nullum aliud exemplum tam frequenter
<
lb
/>
vſurpat Philoſophus, quam iſtud ex Mathematicis deſumptum de triangu
<
lb
/>
lo, ſcilicet, omnis triangulus habet tres angulos æquales duobus rectis an
<
lb
/>
gulis, cuius Demonſtratio eſt in 32. primi Elem. quod, vt probè intelliga
<
lb
/>
tur, explicandum eſt penes quid attendenda ſit æqualitas inter angulum, &
<
lb
/>
angulum, quod facile aſſequemur, ſi meminerimus angulum eſſe inclinatio
<
lb
/>
nem illam, quam duæ lineæ non in directum poſitæ faciunt: ſiue etiam (vt
<
lb
/>
melius percipiamus) angulum eſſe acumen illud, ſiue mucronem
<
expan
abbr
="
illũ
">illum</
expan
>
, quem
<
lb
/>
duæ lineæ non in directum conſtitutæ faciunt, vt duarum linearum A B, A C,
<
lb
/>
<
figure
id
="
id.009.01.039.1.jpg
"
place
="
text
"
xlink:href
="
009/01/039/1.jpg
"
number
="
7
"/>
<
lb
/>
inclinatio in puncto A, ſiue acumen illud, ſiue mucro,
<
lb
/>
eſt ratio anguli. </
s
>
<
s
id
="
s.000778
">ſolum igitur duo anguli erunt æqua
<
lb
/>
les,
<
expan
abbr
="
quãdo
">quando</
expan
>
vnius acumen æquale erit acumini alterius;
<
lb
/>
etiam ſi lineæ conſtituentes vnum angulum ſint lon
<
lb
/>
giores lineis alterum angulum conſtituentibus, quia
<
lb
/>
quantitas anguli non attenditur penes longitudinem </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>