Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 3
[out of range]
>
<
1 - 3
[out of range]
>
page
|<
<
(64)
of 89
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div83
"
type
="
section
"
level
="
1
"
n
="
45
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1399
"
xml:space
="
preserve
">
<
pb
o
="
64
"
file
="
0076
"
n
="
76
"
rhead
="
PROMOTVS
"/>
<
note
style
="
it
"
position
="
right
"
xlink:label
="
note-0076-01
"
xlink:href
="
note-0076-01a
"
xml:space
="
preserve
">I. # II. # III. # IIII.
<
lb
/>
1 {1227/5301}, # 24, # 1 {139/5301}, # 20,</
note
>
erit denominator qualitatis auri de qua quæritur quia ille termi-
<
lb
/>
nus indicat partes auri puri in grauitate, qualibus maſſa propoſita
<
lb
/>
constat 24. </
s
>
<
s
xml:id
="
echoid-s1400
"
xml:space
="
preserve
">Hoc autem demonstratum eſt prop. </
s
>
<
s
xml:id
="
echoid-s1401
"
xml:space
="
preserve
">19, buius.</
s
>
<
s
xml:id
="
echoid-s1402
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1403
"
xml:space
="
preserve
">Et quia in propoſito exemplo bæ partes, nempe vnc. </
s
>
<
s
xml:id
="
echoid-s1404
"
xml:space
="
preserve
">20, ſunt par-
<
lb
/>
tes vigeſimæ quartæ 24, vnciarum, quæ constituunt grauitatem to-
<
lb
/>
tius maſſæ. </
s
>
<
s
xml:id
="
echoid-s1405
"
xml:space
="
preserve
">binc fit quod eædem 20, vnc. </
s
>
<
s
xml:id
="
echoid-s1406
"
xml:space
="
preserve
">immediate denominent au-
<
lb
/>
rum propoſitum eße 20, partium. </
s
>
<
s
xml:id
="
echoid-s1407
"
xml:space
="
preserve
">Quando vero grauitas totius maſ-
<
lb
/>
ſæ non exprimitur per numerum 24, tunc opus erit inquirere quot
<
lb
/>
partes vigeſimas quartas totius grauitatis efficiat quartus ille pro-
<
lb
/>
portionis terminus vt in ſequenti exemplo clarius apparebit.</
s
>
<
s
xml:id
="
echoid-s1408
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1409
"
xml:space
="
preserve
">Sit enim propoſita alia auri maſſa cuius grauitas in aere ſit 5301
<
lb
/>
in aqua vero 4988, ſi igitur bic numerus ſubtrabatur ex numero to
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0076-02
"
xlink:href
="
note-0076-02a
"
xml:space
="
preserve
">5. buius</
note
>
tius grauitatis 5301, rcliqaus numerus 313,
<
emph
style
="
sub
">*</
emph
>
erit grauitas aquæ
<
lb
/>
propoſitæ maſſæ magnitudine æqualis. </
s
>
<
s
xml:id
="
echoid-s1410
"
xml:space
="
preserve
">Inueniantur quoq; </
s
>
<
s
xml:id
="
echoid-s1411
"
xml:space
="
preserve
">duæ aliæ
<
lb
/>
grauitates aquæ, vnare ſpondentis auro puro magnitudine, altera.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1412
"
xml:space
="
preserve
">corpori miſto ex argento & </
s
>
<
s
xml:id
="
echoid-s1413
"
xml:space
="
preserve
">ære, ita tamen vt grauitas tum auri pu-
<
lb
/>
ri, tum corporis misti ſit eadem quæ maſſæpropoſitæ, non ſecus ac in
<
lb
/>
præcedenti exemplo factitatum est. </
s
>
<
s
xml:id
="
echoid-s1414
"
xml:space
="
preserve
">boc eſt primo fiat vt 19, ad 1, ita
<
lb
/>
5301, ad 279, bic enim numerus erit grauitas aquæ magnitudinem
<
lb
/>
babentis æqualem auro puro, cuius grauitas eſt 5301. </
s
>
<
s
xml:id
="
echoid-s1415
"
xml:space
="
preserve
">Deinde fiat
<
lb
/>
vt 279, ad 29, ita rurſum grauitas 5301, ad aliam, bac enim ratione
<
lb
/>
producetur numerus 551, debitus grauitati aquæ, magnitudine,
<
lb
/>
æqualis corpori miſto ex argento & </
s
>
<
s
xml:id
="
echoid-s1416
"
xml:space
="
preserve
">ære, grauitatem babenti eandem
<
lb
/>
cum eadem maßa propoſita. </
s
>
<
s
xml:id
="
echoid-s1417
"
xml:space
="
preserve
">Atque bæ tres grauitates aquæ ſcriban-
<
lb
/>
tur eo ordine quoſupra; </
s
>
<
s
xml:id
="
echoid-s1418
"
xml:space
="
preserve
">inuentiſque differentijs inter primam & </
s
>
<
s
xml:id
="
echoid-s1419
"
xml:space
="
preserve
">
<
lb
/>
<
note
style
="
it
"
position
="
right
"
xlink:label
="
note-0076-03
"
xlink:href
="
note-0076-03a
"
xml:space
="
preserve
">Grauitas aqu & magnitu- \\ dine & qualis auro puro. # Grauitas agua & qualis \\ maſlæ propoſita. # Grauitas aquæ æqualis \\ corpori miſto.
<
lb
/>
279 # 313 # 551</
note
>
tertiam, nec non inter ſecundam & </
s
>
<
s
xml:id
="
echoid-s1420
"
xml:space
="
preserve
">tertiam, quæ ſunt 272, 238; </
s
>
<
s
xml:id
="
echoid-s1421
"
xml:space
="
preserve
">sta-
<
lb
/>
tuatur pro primo proportionis termino prior differentia 272, & </
s
>
<
s
xml:id
="
echoid-s1422
"
xml:space
="
preserve
">pro
<
lb
/>
tertio posterior 238. </
s
>
<
s
xml:id
="
echoid-s1423
"
xml:space
="
preserve
">grauitas vero maſſæ propoſitæ 5301, ponatur
<
lb
/>
pro ſecundo termino, & </
s
>
<
s
xml:id
="
echoid-s1424
"
xml:space
="
preserve
">quæratur terminus quartus, qui inpræ-
<
lb
/>
<
note
style
="
it
"
position
="
right
"
xlink:label
="
note-0076-04
"
xlink:href
="
note-0076-04a
"
xml:space
="
preserve
">I. # II. # III. # IIII.
<
lb
/>
272, # 5301, # 238, # 4638 {51/136}.</
note
>
ſenti exemplo eſt 4638 {51/136}, is
<
emph
style
="
sub
">*</
emph
>
enim indicabit grauitatem auri
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0076-05
"
xlink:href
="
note-0076-05a
"
xml:space
="
preserve
">19.
<
lb
/>
buius.</
note
>
puriin maſſa propoſita. </
s
>
<
s
xml:id
="
echoid-s1425
"
xml:space
="
preserve
">Sed quoniam bæc grauitas non est expreſ-
<
lb
/>
ſa in partibus vigeſimis quartis totius grauitatis, id quod ad </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>