Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 569
>
11
12
13
14
15
16
17
18
19
20
<
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 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 569
>
page
|<
<
(61)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div165
"
type
="
section
"
level
="
1
"
n
="
110
">
<
p
>
<
s
xml:id
="
echoid-s1588
"
xml:space
="
preserve
">
<
pb
o
="
61
"
file
="
0081
"
n
="
81
"
rhead
="
LIBER I.
"/>
conſtructione, oſtenderemus, vt ſupra, tria latera, ΓΑ, Λ Η; </
s
>
<
s
xml:id
="
echoid-s1589
"
xml:space
="
preserve
">AD,
<
lb
/>
HO; </
s
>
<
s
xml:id
="
echoid-s1590
"
xml:space
="
preserve
">AB, HP; </
s
>
<
s
xml:id
="
echoid-s1591
"
xml:space
="
preserve
">eſſe ad inuicem ſuperpoſita, vnde ſi, Λ Η, æquidi-
<
lb
/>
ſtat plano, NOP, etiam neceſſe eſſe concluderetur, Λ Η, ſeu, ΓΑ,
<
lb
/>
in ea conſtitutam, æquidiſtare plano, NOP, vel ipſi, VST, ſeu,
<
lb
/>
ΓΑ, ipſi, CDB, quod erat oſtendendum.</
s
>
<
s
xml:id
="
echoid-s1592
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div167
"
type
="
section
"
level
="
1
"
n
="
111
">
<
head
xml:id
="
echoid-head122
"
xml:space
="
preserve
">COROLLARIV M.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1593
"
xml:space
="
preserve
">_E_X boc Lemmate colligitur ſimilium ſolidorum, iuxta Euclidis de-
<
lb
/>
finitionem, latera bomologa quœcunque, vel (duabus in ambitu
<
lb
/>
quibuſcumque figuris ſimilibus aſſumptis) iacere in plano ſimilium di-
<
lb
/>
ctarum figurarum, aut illis œquidiſtare, vel œqualiter eiſdem inclinari;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1594
"
xml:space
="
preserve
">Vt in figura Lemmatis 4. </
s
>
<
s
xml:id
="
echoid-s1595
"
xml:space
="
preserve
">ex. </
s
>
<
s
xml:id
="
echoid-s1596
"
xml:space
="
preserve
">gr. </
s
>
<
s
xml:id
="
echoid-s1597
"
xml:space
="
preserve
">CD, GL, (aſſumptis ſimilibus figuris,
<
lb
/>
HCD, OGL,) iacent in earum plano, BA, IF, autem vel ambo illi
<
lb
/>
œquidiſtant, vel eiſdem ſunt œqualiter inclinata, namiunctis, AC, A
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-01
"
xlink:href
="
note-0081-01a
"
xml:space
="
preserve
">_Lemma 4._</
note
>
H, FG, FO, niſi bœc ſint lateradictorum ſolidorum, fiunt anguli, BA
<
lb
/>
H, IFO, BAC, IFG, œquales, & </
s
>
<
s
xml:id
="
echoid-s1598
"
xml:space
="
preserve
">triangula, ACH, FGO, ſimilia,
<
lb
/>
nam pyramides, ABCH, FIGO, ſunt inter ſe ſimiles, ipſa verò trian-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-02
"
xlink:href
="
note-0081-02a
"
xml:space
="
preserve
">_Lemma 1._</
note
>
gula, ACH, FGO, œquè ad eandem partem inclinantur ipſis, HCD,
<
lb
/>
OGL, cum etiam, ACHD, FGLO, pyramides ſint ſimiles ex eodem
<
lb
/>
Lemmate 4. </
s
>
<
s
xml:id
="
echoid-s1599
"
xml:space
="
preserve
">vnde vel, AB, FI, œquidiſtant baſibus, CHD, GOL, vel
<
lb
/>
ſunt eiſdem œqualiter inclinata, idem de cœteris bomologis quibuſcum-
<
lb
/>
que lateribus, quibuslibet ſimilibus figuris in ambitu aſſumptis compa-
<
lb
/>
ratis, pariter intelligendum erit.</
s
>
<
s
xml:id
="
echoid-s1600
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div169
"
type
="
section
"
level
="
1
"
n
="
112
">
<
head
xml:id
="
echoid-head123
"
xml:space
="
preserve
">LEMMA VI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1601
"
xml:space
="
preserve
">SI in ſimilibus ſolidis iuxta Euclidem ducantur plana duabus qui-
<
lb
/>
buſcumque ſimilibus figuris in eorum ambitu aſſumptis paralle-
<
lb
/>
la, quæ vt eorum baſes accipiantur; </
s
>
<
s
xml:id
="
echoid-s1602
"
xml:space
="
preserve
">diuidant autem ducta plana eo-
<
lb
/>
rum altitudines, reſpectu dictarum baſium captas, ſimiliter ad ean-
<
lb
/>
dem partem, quęcumque latera homologa ab eiſdem ſecabuntur, ſi-
<
lb
/>
militer ad eandem partem diuidentur.</
s
>
<
s
xml:id
="
echoid-s1603
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1604
"
xml:space
="
preserve
">Sint in ſimilibus ſolidis iuxta Euclidis definition. </
s
>
<
s
xml:id
="
echoid-s1605
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s1606
"
xml:space
="
preserve
">Vndec. </
s
>
<
s
xml:id
="
echoid-s1607
"
xml:space
="
preserve
">Elem.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1608
"
xml:space
="
preserve
">aſſumptę in ambitu duæ ſimiles figurę tanquam baſes, ex. </
s
>
<
s
xml:id
="
echoid-s1609
"
xml:space
="
preserve
">gr. </
s
>
<
s
xml:id
="
echoid-s1610
"
xml:space
="
preserve
">trian-
<
lb
/>
gula ſimilia, ADB, MKN, ſint verò de ambitu etiam deſcripta
<
lb
/>
triangula ſimilia, AHI, MSQ; </
s
>
<
s
xml:id
="
echoid-s1611
"
xml:space
="
preserve
">AHD, MSK; </
s
>
<
s
xml:id
="
echoid-s1612
"
xml:space
="
preserve
">&</
s
>
<
s
xml:id
="
echoid-s1613
"
xml:space
="
preserve
">, IHD, QS
<
lb
/>
K; </
s
>
<
s
xml:id
="
echoid-s1614
"
xml:space
="
preserve
">quibus etiam adiungantur latera bomologa, IF, QP, ad verti-
<
lb
/>
ces, F, P, reſpectu dictarum baſium captos, pertingentia, reliquis
<
lb
/>
dimiſſis figuris eorum ambitum complentibus, ne nimia fieret Sche-
<
lb
/>
matis confuſio, ſint autem à verticibus, F, P, demiſſæ altitudines
<
lb
/>
reſpectu baſium, ADB, MKN, ipſę, FC, PO, planis baſium </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>