Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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 - 283
>
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 - 210
211 - 240
241 - 270
271 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
043/01/081.jpg
"
pagenum
="
73
"/>
<
p
type
="
main
">
<
s
>Sit pyramidis quadrilateram baſim habentis fruſtum
<
lb
/>
ABCDEFGH, cuius axis KL, atque in ipſo centrum
<
lb
/>
grauitatis O. </
s
>
<
s
>Dico axim KL, ſectum eſse in puncto O,
<
lb
/>
vt propoſuimus. </
s
>
<
s
>Ductis enim AC, EG, quæ ſimilium
<
lb
/>
ſectionum angulos æquales ſubtendant B, F, qui late
<
lb
/>
ribus homologis continentur, fruſta erunt pyramidum
<
lb
/>
triangulas baſes habentium AFG, AGH: ſit autem fru
<
lb
/>
ſti AFG, axis
<
lb
/>
TP, & in eo eiuſ
<
lb
/>
dem fruſti cen
<
lb
/>
trum grauitatis
<
lb
/>
M, & fruſti AG
<
lb
/>
H, axis VQ, &
<
lb
/>
in eo centrum
<
lb
/>
grauitatis N, &
<
lb
/>
iungantur TV,
<
lb
/>
MN,
<
expan
abbr
="
Pq.
">Pque</
expan
>
Quo
<
lb
/>
niam igitur eſt
<
lb
/>
pyramidis fru
<
lb
/>
ſtum, quod pro
<
lb
/>
ponitur; omnia
<
lb
/>
<
figure
id
="
id.043.01.081.1.jpg
"
xlink:href
="
043/01/081/1.jpg
"
number
="
52
"/>
<
lb
/>
cius producta latera concurrent in vno puncto, qui eſt pyra
<
lb
/>
midis vertex: fruſta igitur, in quæ diuiſum eſt fruſtum pro
<
lb
/>
poſitum earum ſunt pyramidum, quæ verticem habent
<
lb
/>
communem cum pyramide, cuius eſt fruſtum propoſitum:
<
lb
/>
tres igitur talium fruſtorum axes, vt pote ſegmenta axium
<
lb
/>
trium prædictarum pyramidum in communi illo vertice
<
lb
/>
concurrent: quilibet igitur duo trium prædictorum axium
<
lb
/>
KL, TP, VQ, erunt in eodem plano: TP, igitur, &
<
lb
/>
VQ, ſunt in eodem plano. </
s
>
<
s
>Eadem autem ratione, qua
<
lb
/>
vtebamur de priſmate K, centrum grauitatis K, baſis
<
lb
/>
EH, eſt in linea TV, & L, baſis BD, centrum grauita
<
lb
/>
tis eſt in linea
<
expan
abbr
="
Pq;
">Pque</
expan
>
reliquæ igitur KL, MN, erunt in eo
<
lb
/>
dem plano trapezij PTVQ, ſeque mutuo ſecabunt: cum </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>