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
Table of Notes
<
1 - 22
[out of range]
>
<
1 - 22
[out of range]
>
page
|<
<
(409)
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-div758
"
type
="
section
"
level
="
3
"
n
="
44
">
<
div
xml:id
="
echoid-div758
"
type
="
letter
"
level
="
4
"
n
="
1
">
<
pb
o
="
409
"
rhead
="
EPISTOL AE.
"
n
="
421
"
file
="
0421
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0421
"/>
</
div
>
</
div
>
<
div
xml:id
="
echoid-div762
"
type
="
section
"
level
="
3
"
n
="
45
">
<
div
xml:id
="
echoid-div762
"
type
="
letter
"
level
="
4
"
n
="
1
">
<
head
xml:id
="
echoid-head568
"
xml:space
="
preserve
">SOLVTIO CVIVSDAM QVÆSITI.</
head
>
<
head
xml:id
="
echoid-head569
"
style
="
it
"
xml:space
="
preserve
">Magnifico Ludouico Fauzzoni amico cariβimo.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4890
"
xml:space
="
preserve
">TVI quæſiti ſolutio quam neſcio quis te docuit, valde diuerſa eſt à vera.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4891
"
xml:space
="
preserve
">quæſitum enim tale fuit.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4892
"
xml:space
="
preserve
">Reperiuntur quatuor ſocij, Ludouicus, Hieronymus, Franciſcus, & Lau
<
lb
/>
rentius quorum primus, Ludouicus ſcilicet, poſuit aureos .6000. Hierony
<
lb
/>
mus verò aureos .5000. Franciſcus autem .2000. & Laurentius .1000. quorum ſum-
<
lb
/>
ma faciebat aureos .14000. </
s
>
<
s
xml:id
="
echoid-s4893
"
xml:space
="
preserve
">interim tamen de tali ſumma Ludouicus recepit aureos
<
lb
/>
2000. Hieronymus verò .1000. Franciſcus autem .900. & Laurentius .800. quapro-
<
lb
/>
pter in ſumma reſidua Ludouicus non habebat niſi aureos .4000. Hieronymus
<
reg
norm
="
etiam
"
type
="
context
">etiã</
reg
>
<
lb
/>
4000. Franciſcus .1100. & Laurentius .200. quorum ſumma erat .9300. </
s
>
<
s
xml:id
="
echoid-s4894
"
xml:space
="
preserve
">Nunc au-
<
lb
/>
tem iſti ſocij cupiunt augere hanc ſummam per aureos .20000. tali tamen conditio-
<
lb
/>
ne quod quilibet tantum tribuat vt in totali ſumma, tantam partem unus habeat,
<
lb
/>
quantam alter.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4895
"
xml:space
="
preserve
">Hoc autem problema tam ſacile eſt, & cum ſuo theoremate ita coniunctum, quod
<
lb
/>
miror amicum noſtrum illud illico non vidiſſe.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4896
"
xml:space
="
preserve
">Accipe igitur illos aureos .20000. & eos collige cum ſumma .9300. vnde habebis
<
lb
/>
aureos .29300. pro
<
reg
norm
="
summa
"
type
="
context
">sũma</
reg
>
totali, cuius quarta pars erit .7325.
<
reg
norm
="
quam
"
type
="
context
">quã</
reg
>
<
reg
norm
="
vnuſquisque
"
type
="
simple
">vnuſquisq;</
reg
>
poſtea
<
lb
/>
habebit in dicta ſumma. </
s
>
<
s
xml:id
="
echoid-s4897
"
xml:space
="
preserve
">Sed ut reperias quantitatem aureorum quam quilibet
<
lb
/>
prius debet contribuere, vt poſtea habeat aureos .7325. in dicta ſocietate. </
s
>
<
s
xml:id
="
echoid-s4898
"
xml:space
="
preserve
">Iubeo,
<
lb
/>
vt Ludouicus demat illos aureos .4000. quos demum habebat, ex .7325. reliquum
<
lb
/>
autem erit .3325. qui quidem numerus erit aureorum nunc contribuendorum ipſius
<
lb
/>
Ludouici. </
s
>
<
s
xml:id
="
echoid-s4899
"
xml:space
="
preserve
">Demptis ſimiliter aureis .4000. ex dictis .7325.
<
reg
norm
="
remanebunt
"
type
="
context
">remanebũt</
reg
>
.3325. pro con
<
lb
/>
tributione ipſius Hieronymi. </
s
>
<
s
xml:id
="
echoid-s4900
"
xml:space
="
preserve
">Deinde ſi ex .7325. extracti fuerint aurei .1100. relin-
<
lb
/>
quent .6225. pro contributione Franciſci. </
s
>
<
s
xml:id
="
echoid-s4901
"
xml:space
="
preserve
">Demptis demum .200. ex .7325. reſidui
<
lb
/>
erunt .7125. pro contributione Laurentij, & ſic quilibet habebit æqualem portio-
<
lb
/>
nem in totaliſumma.</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div763
"
type
="
letter
"
level
="
4
"
n
="
2
">
<
head
xml:id
="
echoid-head570
"
style
="
it
"
xml:space
="
preserve
">Speculatio cuiuſdam Methodire ductionis numiſmatum
<
lb
/>
unius ſpeciei in aliam.</
head
>
<
head
xml:id
="
echoid-head571
"
xml:space
="
preserve
">AD EVNDEM.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4902
"
xml:space
="
preserve
">MIrum tibi videtur quo pacto verum ſit, quod ſumma
<
reg
norm
="
mendietatis
"
type
="
context
">mẽdietatis</
reg
>
cuiuſuis
<
lb
/>
numeri illorum numiſmatum, quæ hic vocantur Blanci, cum ſexta parte eiuſ
<
lb
/>
dem medietatis, ſemper ſit numerus florenorum huius prouinciæ. </
s
>
<
s
xml:id
="
echoid-s4903
"
xml:space
="
preserve
">Vt exempli gra
<
lb
/>
tia, quotieſcunque reducere voluerimus .48. Blancos in Florenos, ſi medietati ip-
<
lb
/>
ſius .48. hoc eſt .24. adiecta fuerit ſexta pars ipſius medietatis, quæ eſt .4. </
s
>
<
s
xml:id
="
echoid-s4904
"
xml:space
="
preserve
">tunc habebi
<
lb
/>
mus .28. & ita dicemus quod .48. Blanci conſtituunt Florenos .28. quod quidem
<
lb
/>
verum eſt.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4905
"
xml:space
="
preserve
">Huiuſmodi autem rei ſpeculatio ita ſe habet. </
s
>
<
s
xml:id
="
echoid-s4906
"
xml:space
="
preserve
">Nam vnuſquiſque Blancus diuidi-
<
lb
/>
tur in .7. æquales partes, quarum .12. conſtituunt vnum Florenum, horum verò nu-
<
lb
/>
miſmatum communis menſura, vocatur Groſſus, vt ſcis, ex quo ſequitur, quod ſi </
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>