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
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
<
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
="
N12BC4
"
type
="
main
">
<
s
id
="
N12BEB
">
<
pb
xlink:href
="
077/01/083.jpg
"
pagenum
="
79
"/>
Ducantur à punctis MN ipſi AGE ęquidiſtantes QMR
<
lb
/>
SNT. erunt vti〈que〉 AQRG, & GSTE parallelogramma.
<
lb
/>
Quoniam igitur parallelogramma AK GF in æqualibus
<
lb
/>
ſuntbaſibus AG GE, & in ijſdem parallelis; erunt AK
<
arrow.to.target
n
="
marg71
"/>
<
lb
/>
inter ſe ęqualia. </
s
>
<
s
id
="
N12C02
">& quoniam AC GK EF ſunt
<
expan
abbr
="
ęquidiſtãtes
">ęquidiſtantes</
expan
>
;
<
lb
/>
erit angulus CAG ipſi KGE ęqualis, & KGA ipſi
<
arrow.to.target
n
="
marg72
"/>
<
lb
/>
æqualis; & horum oppoſiti inter ſe ſunt ęquales;
<
arrow.to.target
n
="
marg73
"/>
paralle
<
lb
/>
logrammum GF ipſi AK ęquale, & ſimile exiſtit. </
s
>
<
s
id
="
N12C15
">Ita〈que〉
<
lb
/>
ſi GF colloceturſuper AK, rectè congruet: eruntquè paral
<
lb
/>
lelogramma inuicen coaptata. </
s
>
<
s
id
="
N12C1B
">lineęquè GE AG, GK AC, &
<
lb
/>
reliquæ coaptatæ erunt. </
s
>
<
s
id
="
N12C1F
">quare eorum centra
<
arrow.to.target
n
="
marg74
"/>
inui
<
lb
/>
cem coaptata erunt. </
s
>
<
s
id
="
N12C27
">hoc eſt N erit in puncto M. Quoniam
<
lb
/>
autem à punctis MN (quod nunc intelligitur vnum tantum
<
lb
/>
eſſe punctum) ductæ fuerunt ST QR ipſi AGE æquidi
<
lb
/>
ſtantes, linea ST coaptabitur cum QR, quippe cùm ambæ
<
lb
/>
hæ lineæ ab vno puncto prodeuntes ipſi AG ęquidiſtantes
<
lb
/>
eſſe debeant. </
s
>
<
s
id
="
N12C33
">punctum igitur S in Q, & T in R coaptabi
<
lb
/>
tur. </
s
>
<
s
id
="
N12C37
">eritquè QM ipſi SN ęqualis, & MR ipſi NT. ac pro
<
lb
/>
pterea linea GS parallelogrammi GT erit coaptata in
<
expan
abbr
="
Aq;
">A〈que〉</
expan
>
<
lb
/>
& ET coaptata erit in GR parallelogrammi AR. Vnde e
<
lb
/>
rit AQ ęqualis GS, cùm ſint coaptatæ; & GR ipſi ET ę
<
lb
/>
qualis; cùm ſint quo〈que〉 coaptatę. </
s
>
<
s
id
="
N12C45
">Quocirca
<
arrow.to.target
n
="
marg75
"/>
pa
<
lb
/>
rallelogramma AR GT ſunt inuicem coaptata, paral
<
lb
/>
lelogrammorumquè oppoſita latera ſunt inter ſe ęqualia,
<
expan
abbr
="
erũt
">erunt</
expan
>
<
lb
/>
AQ GS GR ET inter ſe ęqualia. </
s
>
<
s
id
="
N12C55
">Nunc autem
<
expan
abbr
="
intelligãtur
">intelligantur</
expan
>
<
lb
/>
parallelogramma AK GF non ampliùs coaptata. </
s
>
<
s
id
="
N12C5D
">&
<
expan
abbr
="
quoniã
">quoniam</
expan
>
<
lb
/>
lineę QMR, & SNT ſuntipſi AGE parallelę; & AQ GR,
<
lb
/>
GS ET, inter ſe ſuntæquales, & ęquidiſtantes; puncta RS in
<
lb
/>
vnum coincident punctum. </
s
>
<
s
id
="
N12C69
">eritquè QST linea recta. </
s
>
<
s
id
="
N12C6B
">ex qui
<
lb
/>
bus patet, rectam
<
expan
abbr
="
lineã
">lineam</
expan
>
, quæ coniungit centra grauitatis MN
<
lb
/>
ipſi AGE æquidiſtantem exiſtere. </
s
>
<
s
id
="
N12C75
">eodemquè modo oſtende
<
lb
/>
tur rectas lineas, quæ coniungunt grauitatis centra NO, cen
<
lb
/>
traquè OP, ipſi AB
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
eſſe. </
s
>
<
s
id
="
N12C7F
">Vnde ſequitur lineam
<
lb
/>
MNOP rectam eſſe. </
s
>
<
s
id
="
N12C83
">Quare primùm conſtat grauitatis
<
expan
abbr
="
cẽtra
">centra</
expan
>
<
lb
/>
in recta linea exiſtere. </
s
>
</
p
>
<
p
id
="
N12C8B
"
type
="
margin
">
<
s
id
="
N12C8D
">
<
margin.target
id
="
marg71
"/>
36.
<
emph
type
="
italics
"/>
primi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N12C96
"
type
="
margin
">
<
s
id
="
N12C98
">
<
margin.target
id
="
marg72
"/>
29.
<
emph
type
="
italics
"/>
primi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N12CA1
"
type
="
margin
">
<
s
id
="
N12CA3
">
<
margin.target
id
="
marg73
"/>
34.
<
emph
type
="
italics
"/>
primi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N12CAC
"
type
="
margin
">
<
s
id
="
N12CAE
">
<
margin.target
id
="
marg74
"/>
5.
<
emph
type
="
italics
"/>
post, hu
<
lb
/>
ius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N12CB9
"
type
="
margin
">
<
s
id
="
N12CBB
">
<
margin.target
id
="
marg75
"/>
34.
<
emph
type
="
italics
"/>
primi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.083.1.jpg
"
xlink:href
="
077/01/083/1.jpg
"
number
="
48
"/>
<
p
id
="
N12CC8
"
type
="
main
">
<
s
id
="
N12CCA
">Quoniam autem oſtenſum eſt QM æqualem eſſe ipſi SN,
<
lb
/>
& MR ipſi NT, eodem quo〈que〉 modo oſtendetur OT </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>