Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
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
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 355
>
41
42
43
44
45
46
47
48
49
50
<
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
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 355
>
page
|<
<
of 355
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000861
">
<
pb
pagenum
="
46
"
xlink:href
="
009/01/046.jpg
"/>
ab illo Hippocrate Coo medicorum Magiſtro, vt colligitur ex Alexandre
<
lb
/>
Aphrod. in Primum Meteororum de Cometis.</
s
>
</
p
>
</
chap
>
<
chap
>
<
p
type
="
head
">
<
s
id
="
s.000862
">
<
emph
type
="
italics
"/>
Ex Primo Posteriorum reſolutoriorum.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000863
">
<
arrow.to.target
n
="
marg18
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000864
">
<
margin.target
id
="
marg18
"/>
18</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000865
">Textu primo
<
emph
type
="
italics
"/>
(Omnis doctrina, & omnis diſciplina diſcurſiua ex præexi
<
lb
/>
ſtenti fit cognitione. </
s
>
<
s
id
="
s.000866
">manifeſtum autem hoc ſpeculantibus in omnibus,
<
lb
/>
Mathematicæ
<
expan
abbr
="
namq;
">namque</
expan
>
ſcientiarum per hunc modum accedunt)
<
emph.end
type
="
italics
"/>
quo mo
<
lb
/>
do Mathematicæ fiant ex præcedenti cognitione, ſcilicet Princi
<
lb
/>
piorum perſpicuè quilibet videbit, qui ſaltem primum
<
expan
abbr
="
Elemẽtorum
">Elementorum</
expan
>
Eucli
<
lb
/>
dis, vel è ianuis inſpexerit; pręcedunt enim primo principiorum tria gene
<
lb
/>
ra, quorum primum continet definitiones ſubiecti Geometriæ, vt definitio
<
lb
/>
nes lineæ, ſuperficiei, trianguli, &c: Secundum continet Poſtulata. </
s
>
<
s
id
="
s.000867
">Tertium
<
lb
/>
Axiomata, ſeu communes omnium conceptiones, & ſententias, ex quibus
<
lb
/>
tanquam ex vberrimis, & chriſtallinis fontibus Demonſtrationes Geome
<
lb
/>
tricæ deriuantur. </
s
>
<
s
id
="
s.000868
">Idem vìdere licet in operibus aliorum Geometrarum,
<
lb
/>
Archimedis, Apollonij, Pappi, & cæterorum. </
s
>
<
s
id
="
s.000869
">Aliæ ſimiliter mathematicæ,
<
lb
/>
vt Arithmetica, Perſpectiua, Muſica, Mechanica, Aſtronomia, non niſt ex
<
lb
/>
præmiſſis, ac manifeſtiſsimis principijs ſuas demonſtrationes deducunt.
<
lb
/>
</
s
>
<
s
id
="
s.000870
">Nulla porrò alia ſcientia tam diſtinctè ſua præmittit principia,
<
expan
abbr
="
tamq́
">tamque</
expan
>
; per
<
lb
/>
ſpicua, ſicuti Mathematicæ, vt non immeritò Philoſophus eas, tamquam
<
lb
/>
veræ ſcientiæ
<
expan
abbr
="
typũ
">typum</
expan
>
,
<
expan
abbr
="
eumq́
">eumque</
expan
>
; omnibus numeris abſolutum ſibi ob oculos pro
<
lb
/>
poſuerit, ex quo veræ ſcientiæ deſcriptionem hiſce libris complecteretur.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000871
">
<
arrow.to.target
n
="
marg19
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000872
">
<
margin.target
id
="
marg19
"/>
19</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000873
">Tex. 2.
<
emph
type
="
italics
"/>
(Quod enim omne triangulum habet duobus rectis æquales, præſciuit:
<
lb
/>
quod autem hoc, quod eſt in ſemicirculo triangulum eſt, ſimul inducens cognouit)
<
emph.end
type
="
italics
"/>
<
lb
/>
vide primo, quæ ſupra libro 1. Prior. ſecto 3. cap. 1. explicaui de angulis
<
lb
/>
trianguli. </
s
>
<
s
id
="
s.000874
">deinde ſcias, quod quando Ariſt. ait, hoc, quod eſt in ſemicircu
<
lb
/>
lo triangulum, &c. </
s
>
<
s
id
="
s.000875
">alludit ad demonſtrationem quandam, quam ipſe infe
<
lb
/>
rius in exemplum adducet, & quæ eſt in 3. Elem. Euclidis 31. in qua talis fi
<
lb
/>
gura proponitur qualis eſt præſens, in qua vides triangulum A B C. in ſe
<
lb
/>
<
figure
id
="
id.009.01.046.1.jpg
"
place
="
text
"
xlink:href
="
009/01/046/1.jpg
"
number
="
15
"/>
<
lb
/>
micirculo. </
s
>
<
s
id
="
s.000876
">tunc autem dicitur triangulum in
<
lb
/>
ſemicirculo, quando baſis ipſius eſt diameter
<
lb
/>
ſemicirculi, & reliqua duo latera ita concur
<
lb
/>
runt ſimul in angulum B, vt ipſum pariter in
<
lb
/>
circumferentia conſtituant, quibus pręmiſsis
<
lb
/>
ſic textum explicaueris: quod enim omne
<
lb
/>
triangulum habet tres angulos æquales duo
<
lb
/>
bus rectis angulis præſciuit vniuerſaliter per
<
lb
/>
32. primi; quod autem hoc particulare triangulum A B C, quod eſt in ſe
<
lb
/>
micirculo habeat eandem proprietatem, ſimul, ac quiſpiam animaduertit
<
lb
/>
illud eſſe triangulum cognoſcit,
<
expan
abbr
="
abſq;
">abſque</
expan
>
vlla demonſtratione, ſed ſolum virtu
<
lb
/>
te illius maioris propoſitionis; omne triangulum habet tres, &c.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000877
">
<
arrow.to.target
n
="
marg20
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000878
">
<
margin.target
id
="
marg20
"/>
20</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000879
">Tex. 5.
<
emph
type
="
italics
"/>
(Vera quidem igitur oportet eſſe, quoniam non eſt non ens ſcire, vt quod
<
lb
/>
diameter ſit commenſurabilis)
<
emph.end
type
="
italics
"/>
conſule ea, quæ ſcripſimus ad cap. 23. primi
<
lb
/>
Priorum, ſecto 1. ſine quibus locus hic ſatis intelligi nequit; ijs autem per
<
lb
/>
ceptis ſic
<
expan
abbr
="
locũ
">locum</
expan
>
hunc explicare poſſumus, cum diameter quadrati ſit </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>