Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
210 - 219
220 - 229
230 - 239
240 - 249
250 - 259
260 - 269
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
340 - 349
350 - 359
360 - 369
370 - 379
380 - 389
390 - 399
400 - 409
410 - 419
420 - 429
430 - 439
440 - 445
>
371
(359)
372
(360)
373
(361)
374
(362)
375
(363)
376
(364)
377
(365)
378
(366)
379
(367)
380
(368)
<
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
210 - 219
220 - 229
230 - 239
240 - 249
250 - 259
260 - 269
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
340 - 349
350 - 359
360 - 369
370 - 379
380 - 389
390 - 399
400 - 409
410 - 419
420 - 429
430 - 439
440 - 445
>
page
|<
<
(417)
of 445
>
>|
<
echo
version
="
1.0
">
<
text
type
="
book
"
xml:lang
="
la
">
<
div
xml:id
="
echoid-div7
"
type
="
body
"
level
="
1
"
n
="
1
">
<
div
xml:id
="
echoid-div477
"
type
="
chapter
"
level
="
2
"
n
="
6
">
<
div
xml:id
="
echoid-div776
"
type
="
section
"
level
="
3
"
n
="
50
">
<
div
xml:id
="
echoid-div776
"
type
="
letter
"
level
="
4
"
n
="
1
">
<
p
>
<
s
xml:id
="
echoid-s5022
"
xml:space
="
preserve
">
<
pb
o
="
417
"
rhead
="
EPISTOL AE.
"
n
="
429
"
file
="
0429
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0429
"/>
vmbra reperitur, tantum quantum defectus caloris radij ſolaris fert, qui per vim,
<
lb
/>
dictum aerem rarefactum conſeruabat, ſtatim dictum aerem condenſari cognoſces:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5023
"
xml:space
="
preserve
">& quia ea condenſatio homogenea non eſt, ob diuerſas rationes, hanc ob cauſam
<
lb
/>
percipimus eam aeris impulſionem, & inæqualiter, dum verò eadem vmbra diſce-
<
lb
/>
dit, ventus, ferè, ſtatim ceſſat, & ſæpe ante quam dicta vmbra diſcedat; </
s
>
<
s
xml:id
="
echoid-s5024
"
xml:space
="
preserve
">cuius rei cau
<
lb
/>
ſa eſt longa mora quam trahi vmbra, ita vt prius abſoluatur reditus aeris ad
<
reg
norm
="
formam
"
type
="
context
">formã</
reg
>
,
<
lb
/>
quæ ei conuenit in huiuſmodi vmbra, quam faciet nubes dum Sol deregitur.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5025
"
xml:space
="
preserve
">Vera non ſunt ea, quæ tibi Arnoldus dixit, vt mihi tuis literis ſignificaſti. </
s
>
<
s
xml:id
="
echoid-s5026
"
xml:space
="
preserve
">Nam ego
<
lb
/>
ita dixi, videlicet, quod quoti eſcunque aliquis aſpexerit aliquod punctum in ſuper-
<
lb
/>
ficie ſpeculi, </
s
>
<
s
xml:id
="
echoid-s5027
"
xml:space
="
preserve
">tunc imaginem ipſius poſt dictam ſuperficie
<
unsure
/>
m videbit duplicatam, ſi
<
lb
/>
verò aſpexerit imaginem intra ſpeculum, </
s
>
<
s
xml:id
="
echoid-s5028
"
xml:space
="
preserve
">tunc illud punctum videbit duplicatum,
<
lb
/>
huiuſmodi autem rei ratio pendet ab hijs quę ad Franciſcum Vimercatum ſcri-
<
lb
/>
pſi, quæ ſi memoria tenes, nullum tibi dubium remanebit. </
s
>
<
s
xml:id
="
echoid-s5029
"
xml:space
="
preserve
">Nam ea tibi omnia
<
lb
/>
oſtendi.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5030
"
xml:space
="
preserve
">Dum verò dicis omnem proportionem rationalem diuidi poſſe duobus numeris
<
lb
/>
mediantibus in tres æquas partes, mihi ad memoriam reuocas id quod quidam Vitru
<
lb
/>
uij commentator aſſerit ſuper primum cap. noni lib. eiuſdem Authoris, ita dicens.</
s
>
</
p
>
<
quote
>
<
s
xml:id
="
echoid-s5031
"
xml:space
="
preserve
">Benè eſſe poteſt vt diagonalis (quadrati ſcilicet) numerorum via reperiatur, ſed
<
lb
/>
fortaſſe intercedent fracta.</
s
>
</
quote
>
<
p
>
<
s
xml:id
="
echoid-s5032
"
xml:space
="
preserve
">Miror te non memoria tenere quid ſint numeri rationales quidúe ſurdi,
<
reg
norm
="
neque
"
type
="
simple
">neq;</
reg
>
con
<
lb
/>
ſideras, non ſolum non eſſe diuiſibilem in tres æquas partes omnem proportionem
<
lb
/>
rationabilem, ſed neque in duas, vt ſunt ſuperparticulares proportiones, necnon
<
lb
/>
aliæ innumeræ, ſed cum talia ſcribis te nimis parum verſatum in iſtis rebus oſtendis.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5033
"
xml:space
="
preserve
">Id verò quod tibi dicere volebam nudiustertius de Mercurio erat, quod nullo pa
<
lb
/>
cto confidendum eſt calculis qui fiunt de curſu Mercurij, eo quod eius ſitus nullo mo
<
lb
/>
do obſeruabilis eſt, nam ipſe nunquam nec vbiuis locorum orbis terrarum viſibilis
<
lb
/>
eſt altior .18. gradibus ſupra orizontem, ſed neque confidendum eſſet ſi
<
reg
norm
="
etiam
"
type
="
context
">etiã</
reg
>
ipſum
<
lb
/>
videremus altum .20. gradibus, </
s
>
<
s
xml:id
="
echoid-s5034
"
xml:space
="
preserve
">propterea quod magna refractio
<
reg
norm
="
radiorum
"
type
="
context
">radiorũ</
reg
>
infra hos
<
lb
/>
gradus nos valde fallit, quæ quidem refractio, nec
<
reg
norm
="
vbique
"
type
="
simple
">vbiq;</
reg
>
, nec omni tempore vnifor-
<
lb
/>
mis eſt, propter diformem ſeu inæqualem craſſiciem vaporum quæ continuò muta
<
lb
/>
tur. </
s
>
<
s
xml:id
="
echoid-s5035
"
xml:space
="
preserve
">Imo multoties eum. videre putabimus ſupra orizontem, exiſtente ipſo ſub
<
lb
/>
orizonte.</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div777
"
type
="
letter
"
level
="
4
"
n
="
2
">
<
head
xml:id
="
echoid-head588
"
style
="
it
"
xml:space
="
preserve
">Quod Ouidius tr anſcurrit à motu diurno, ad motum annuum
<
lb
/>
prater rem.</
head
>
<
head
xml:id
="
echoid-head589
"
xml:space
="
preserve
">AD EVNDEM.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5036
"
xml:space
="
preserve
">TVus etiam Ouidius ceſpitauit, cum pro itinere vnius diei efficiat, vt Phaeton à
<
lb
/>
patre edoctus ſit etiam de itinere annuali.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5037
"
xml:space
="
preserve
">Nam, quod Phaeton petat pro curſu vnius diei, clarè patet
<
reg
norm
="
ex
"
type
="
conjecture
">ẽx</
reg
>
diuerſis locis, & pri-
<
lb
/>
mò vbi ita ſcribit Ouidius.</
s
>
</
p
>
<
quote
>
<
s
xml:id
="
echoid-s5038
"
xml:space
="
preserve
">Currus petit ille paternos.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5039
"
xml:space
="
preserve
">
<
reg
norm
="
Inque
"
type
="
simple
">Inq;</
reg
>
diem alipedum ius & moderamen equorum.</
s
>
</
quote
>
<
p
>
<
s
xml:id
="
echoid-s5040
"
xml:space
="
preserve
">Deinde vbi Pater ita loquitur.</
s
>
</
p
>
<
quote
>
<
s
xml:id
="
echoid-s5041
"
xml:space
="
preserve
">Ardua prima via eſt, & qua vix
<
reg
norm
="
manem
"
type
="
context
">manẽ</
reg
>
<
unsure
/>
recentes. </
s
>
</
quote
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>