DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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 - 207
>
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 - 207
>
page
|<
<
of 207
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N1562B
"
type
="
main
">
<
s
id
="
N159D8
">
<
pb
xlink:href
="
077/01/154.jpg
"
pagenum
="
150
"/>
<
arrow.to.target
n
="
marg265
"/>
ergo & reliqua
<
foreign
lang
="
grc
">σν</
foreign
>
ad reliquam
<
foreign
lang
="
grc
">τ<10></
foreign
>
eſt, ut tota BD ad
<
expan
abbr
="
totã
">totam</
expan
>
OR.
<
lb
/>
rurſuſquè permutando
<
foreign
lang
="
grc
">σν</
foreign
>
ad BD ut
<
foreign
lang
="
grc
">τ<10></
foreign
>
ad OR,
<
expan
abbr
="
conuertendoq́
">conuertendo〈que〉</
expan
>
;
<
lb
/>
BD ad
<
foreign
lang
="
grc
">σν</
foreign
>
eſt, ut OR ad
<
foreign
lang
="
grc
">τ<10></
foreign
>
, Quia verò ita eſt
<
foreign
lang
="
grc
">σχ</
foreign
>
ad
<
foreign
lang
="
grc
">χν</
foreign
>
, ut
<
foreign
lang
="
grc
">τξ</
foreign
>
ad
<
foreign
lang
="
grc
">ξ<10></
foreign
>
;
<
lb
/>
<
arrow.to.target
n
="
marg266
"/>
erit BD ad
<
foreign
lang
="
grc
">σχ</
foreign
>
, vt OR ad
<
foreign
lang
="
grc
">τξ</
foreign
>
atverò BD ad b
<
foreign
lang
="
grc
">σ</
foreign
>
eſt, vt OR ad O
<
foreign
lang
="
grc
">τ</
foreign
>
.
<
lb
/>
erit igitur BD ad B
<
foreign
lang
="
grc
">χ</
foreign
>
, ut O
<
foreign
lang
="
grc
">γ</
foreign
>
ad O
<
foreign
lang
="
grc
">ξ</
foreign
>
. ac propterea diuidendo D
<
foreign
lang
="
grc
">χ</
foreign
>
<
lb
/>
ita ſe habet ad
<
foreign
lang
="
grc
">χ</
foreign
>
B, vt R
<
foreign
lang
="
grc
">ξ</
foreign
>
ad
<
foreign
lang
="
grc
">ξ</
foreign
>
O.
<
emph
type
="
italics
"/>
Quare manifestum est totius recti
<
lb
/>
lineæ figuræ in portione ABC inſcriptæ centrum grauitatis
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
grc
">χ</
foreign
>
<
emph
type
="
italics
"/>
in eadem
<
lb
/>
proportione diuidere BD, veluti centrum grauitatis
<
emph.end
type
="
italics
"/>
<
foreign
lang
="
grc
">ξ</
foreign
>
<
emph
type
="
italics
"/>
figuræ rectilineæ
<
lb
/>
in portione XOP
<
emph.end
type
="
italics
"/>
inſcriptæ
<
emph
type
="
italics
"/>
ipſam OR
<
emph.end
type
="
italics
"/>
diametrum.
<
emph
type
="
italics
"/>
quod demonstra
<
lb
/>
re oportebat.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B46
"
type
="
margin
">
<
s
id
="
N15B48
">
<
margin.target
id
="
marg247
"/>
<
emph
type
="
italics
"/>
ex iis quę
<
lb
/>
poſt
<
gap
/>
pri
<
lb
/>
mi huius
<
lb
/>
demonſtra
<
lb
/>
ta ſunt.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B5A
"
type
="
margin
">
<
s
id
="
N15B5C
">
<
margin.target
id
="
marg248
"/>
3. A
<
emph
type
="
italics
"/>
rchi.
<
lb
/>
de quad.
<
lb
/>
parab. </
s
>
<
s
id
="
N15B67
">&
<
emph.end
type
="
italics
"/>
<
lb
/>
20,
<
emph
type
="
italics
"/>
primi
<
lb
/>
conicorum
<
lb
/>
Apoll.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B76
"
type
="
margin
">
<
s
id
="
N15B78
">
<
margin.target
id
="
marg249
"/>
22.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B81
"
type
="
margin
">
<
s
id
="
N15B83
">
<
margin.target
id
="
marg250
"/>
15.
<
emph
type
="
italics
"/>
primi
<
lb
/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B8E
"
type
="
margin
">
<
s
id
="
N15B90
">
<
margin.target
id
="
marg251
"/>
15.
<
emph
type
="
italics
"/>
primi
<
lb
/>
buius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15B9B
"
type
="
margin
">
<
s
id
="
N15B9D
">
<
margin.target
id
="
marg252
"/>
18.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BA6
"
type
="
margin
">
<
s
id
="
N15BA8
">
<
margin.target
id
="
marg253
"/>
2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BBE
"
type
="
margin
">
<
s
id
="
N15BC0
">
<
margin.target
id
="
marg254
"/>
22.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BC9
"
type
="
margin
">
<
s
id
="
N15BCB
">
<
margin.target
id
="
marg255
"/>
<
emph
type
="
italics
"/>
<
expan
abbr
="
ãte
">ante</
expan
>
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BDD
"
type
="
margin
">
<
s
id
="
N15BDF
">
<
margin.target
id
="
marg256
"/>
1.
<
emph
type
="
italics
"/>
lemma.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BE8
"
type
="
margin
">
<
s
id
="
N15BEA
">
<
margin.target
id
="
marg257
"/>
2.
<
emph
type
="
italics
"/>
lemma.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15BF3
"
type
="
margin
">
<
s
id
="
N15BF5
">
<
margin.target
id
="
marg258
"/>
<
emph
type
="
italics
"/>
ex
<
emph.end
type
="
italics
"/>
6.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C05
"
type
="
margin
">
<
s
id
="
N15C07
">
<
margin.target
id
="
marg259
"/>
18.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C10
"
type
="
margin
">
<
s
id
="
N15C12
">
<
margin.target
id
="
marg260
"/>
22.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C1B
"
type
="
margin
">
<
s
id
="
N15C1D
">
<
margin.target
id
="
marg261
"/>
<
emph
type
="
italics
"/>
cor.
<
emph.end
type
="
italics
"/>
2.
<
emph
type
="
italics
"/>
lem
<
lb
/>
ma m
<
emph.end
type
="
italics
"/>
13.
<
lb
/>
<
emph
type
="
italics
"/>
primi hui
<
emph.end
type
="
italics
"/>
^{9}</
s
>
</
p
>
<
p
id
="
N15C35
"
type
="
margin
">
<
s
id
="
N15C37
">
<
margin.target
id
="
marg262
"/>
<
emph
type
="
italics
"/>
ex
<
emph.end
type
="
italics
"/>
6.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C47
"
type
="
margin
">
<
s
id
="
N15C49
">
<
margin.target
id
="
marg263
"/>
3.
<
emph
type
="
italics
"/>
lemma.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C52
"
type
="
margin
">
<
s
id
="
N15C54
">
<
margin.target
id
="
marg264
"/>
2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
<
lb
/>
3.
<
emph
type
="
italics
"/>
lcmma.
<
emph.end
type
="
italics
"/>
<
lb
/>
2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius
<
emph.end
type
="
italics
"/>
<
lb
/>
16.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15C8C
"
type
="
margin
">
<
s
id
="
N15C8E
">
<
margin.target
id
="
marg265
"/>
19.
<
emph
type
="
italics
"/>
quinti.
<
lb
/>
co.
<
emph.end
type
="
italics
"/>
4.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quīti
">quinti</
expan
>
.
<
emph.end
type
="
italics
"/>
<
lb
/>
3.
<
emph
type
="
italics
"/>
lemma.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N15CA9
"
type
="
margin
">
<
s
id
="
N15CAB
">
<
margin.target
id
="
marg266
"/>
2.
<
emph
type
="
italics
"/>
lemma
<
lb
/>
ante
<
emph.end
type
="
italics
"/>
13.
<
lb
/>
<
emph
type
="
italics
"/>
primi hui
<
emph.end
type
="
italics
"/>
^{9}
<
lb
/>
18.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.154.1.jpg
"
xlink:href
="
077/01/154/1.jpg
"
number
="
97
"/>
<
figure
id
="
id.077.01.154.2.jpg
"
xlink:href
="
077/01/154/2.jpg
"
number
="
98
"/>
<
p
id
="
N15CCD
"
type
="
head
">
<
s
id
="
N15CCF
">SCHOLIVM.</
s
>
</
p
>
<
p
id
="
N15CD1
"
type
="
main
">
<
s
id
="
N15CD3
">Hinc colligere licet parabolas omnes inter ſe ſimiles eſſe. </
s
>
<
s
id
="
N15CD5
">Re
<
lb
/>
fert enim Eutocius hoc in loco, Apollonium pergęum in ſex
<
lb
/>
to Conicorum libro. (qui nondum in lucem prodijt) ſimiles
<
lb
/>
coni ſectiones dixiſſe eas eſſe, quando in vnaqua〈que〉 ſectione
<
lb
/>
lineę
<
expan
abbr
="
ducũtur
">ducuntur</
expan
>
baſi
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
numero pares; hoc eſt tot in v
<
lb
/>
na, quot in alia; vt in ſuperioribus figuris ductæ fuerunt, in v
<
lb
/>
na quidem EK FI GH ipſi AC æquidiſtantes; & in altera ST
<
lb
/>
YV QZ ipſi PX æquidiſtantes; quę quidem efficiant, vt dia
<
lb
/>
metri in eadem proportione diuiſæ proueniant; vt ſunt BN
<
lb
/>
NM ML LD; & O
<
foreign
lang
="
grc
">β βα α</
foreign
>
9 9R. Deinde
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
AC EK
<
lb
/>
FI GH in eadem ſint proportione ipſarum XP ST YV QZ.
<
lb
/>
& quoniam hæ conditiones in omnibus poſſunt accidere pa
<
lb
/>
rabolis; vt ex ijs, quæ demonſtrata ſunt, manifeſtum eſt; id
<
lb
/>
circo parabolæ omnes ſunt ſimiles. </
s
>
<
s
id
="
N15D01
">Ne〈que〉 verò
<
expan
abbr
="
exiſtimandũ
">exiſtimandum</
expan
>
<
lb
/>
eſt, quoniam parabolæ ſunt ſimiles, figur as quo〈que〉 planè
<
lb
/>
inſcriptas, vt AEFGBHIKC & XSYQOZVTP ſimiles eſſe in
<
lb
/>
ter ſe, ea præſertim ſimilitudine, qua ſunt figuræ rectilineæ;
<
lb
/>
vt ſcilicet anguli ſint æquales, & circum ęquales angulos late
<
lb
/>
ra proportionalia. </
s
>
<
s
id
="
N15D11
">in parabolis
<
expan
abbr
="
nõ
">non</
expan
>
attenditur hęc ſimilitudo.
<
lb
/>
ſatenim eſt, vt præfatæ adſint conditiones; ex quibus ſequi
<
lb
/>
tur (vt oſtendimus) trapezia AK EI FH, triangulum què
<
lb
/>
BGH in eadem eſſe proportione trapeziorum XT SV YZ, ac </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>