Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
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 - 347
>
131
(107)
132
(108)
133
(109)
134
(110)
135
(111)
136
(112)
137
(113)
138
(114)
139
(115)
140
(116)
<
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 - 347
>
page
|<
<
(17)
of 347
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div575
"
type
="
section
"
level
="
1
"
n
="
232
">
<
pb
o
="
17
"
file
="
0199
"
n
="
199
"
rhead
="
"/>
</
div
>
<
div
xml:id
="
echoid-div577
"
type
="
section
"
level
="
1
"
n
="
233
">
<
head
xml:id
="
echoid-head241
"
xml:space
="
preserve
">THEOR. X. PROP. XIV.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5574
"
xml:space
="
preserve
">Si in Hyperbola ſumpta fuerint duo quælibet puncta, è quo-
<
lb
/>
rum vno ducta ſit recta linea, alteri aſymptoto æquidiſtans,
<
lb
/>
aliamque ſecans; </
s
>
<
s
xml:id
="
echoid-s5575
"
xml:space
="
preserve
">ex reliquo verò alia vtranque aſymptoton di-
<
lb
/>
uidens in angulo, qui aſymptotali deinceps eſt, à qua, producta
<
lb
/>
in angulo ad verticem aſymptotalis, ſumatur ęqualis ei, quę ex
<
lb
/>
ipſa inter prædictum punctum, & </
s
>
<
s
xml:id
="
echoid-s5576
"
xml:space
="
preserve
">alteram aſymptoton interci-
<
lb
/>
pitur, atque ex ſumptæ termino ducta ſit parallela ei aſympto-
<
lb
/>
to, cui prima eductarum occurrit, hanc ipſam ſecans: </
s
>
<
s
xml:id
="
echoid-s5577
"
xml:space
="
preserve
">recta li-
<
lb
/>
nea huiuſmodi interſectionem iungens cum puncto, in quo ſe-
<
lb
/>
cunda eductarum eam aſymptoton ſecat, cui prima æquidiſtat,
<
lb
/>
rectæ data puncta iungenti æquidiſtabit.</
s
>
<
s
xml:id
="
echoid-s5578
"
xml:space
="
preserve
"/>
</
p
>
<
figure
number
="
159
">
<
image
file
="
0199-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0199-01
"/>
</
figure
>
<
p
>
<
s
xml:id
="
echoid-s5579
"
xml:space
="
preserve
">SInt in Hyperbola A B, cuius aſymptoti C D, C E, ſumpta duo
<
lb
/>
quæcunque puncta A, B, è quorum altero A ducta ſit A E I alteri
<
lb
/>
aſymptoto C D æquidiſtans, ex B verò quælibet B G F vtranque ſecans
<
lb
/>
in G, & </
s
>
<
s
xml:id
="
echoid-s5580
"
xml:space
="
preserve
">F; </
s
>
<
s
xml:id
="
echoid-s5581
"
xml:space
="
preserve
">ſectaque G H in directum, & </
s
>
<
s
xml:id
="
echoid-s5582
"
xml:space
="
preserve
">æquali ipſi B F, ducatur ex H
<
lb
/>
recta H I parallela ad C E occurrens cum productis D C, A E in L, & </
s
>
<
s
xml:id
="
echoid-s5583
"
xml:space
="
preserve
">
<
lb
/>
I. </
s
>
<
s
xml:id
="
echoid-s5584
"
xml:space
="
preserve
">Dico iunctas A B, F I eſſe inter ſe parallelas.</
s
>
<
s
xml:id
="
echoid-s5585
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5586
"
xml:space
="
preserve
">Ducta enim B D parallela ad C E, iunctaque D E, cum ſit B F æqua-
<
lb
/>
lis G H, erit quoque D F æqualis C L, ob parallelas D B, G E, HI, ſed
<
lb
/>
eſt C L æqualis ipſi E I, quare D F, & </
s
>
<
s
xml:id
="
echoid-s5587
"
xml:space
="
preserve
">E I æquales erunt, ſuntque etiam
<
lb
/>
parallelæ, ergo F I æquidiſtat ipſi D E, ſed eſt A B æquidiſtans
<
note
symbol
="
a
"
position
="
right
"
xlink:label
="
note-0199-01
"
xlink:href
="
note-0199-01a
"
xml:space
="
preserve
">13. h.</
note
>
D E, quare F I, & </
s
>
<
s
xml:id
="
echoid-s5588
"
xml:space
="
preserve
">A B ſunt quoque inter ſe parallelæ. </
s
>
<
s
xml:id
="
echoid-s5589
"
xml:space
="
preserve
">Quod, &</
s
>
<
s
xml:id
="
echoid-s5590
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s5591
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>