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
Page concordance
<
1 - 30
31 - 60
61 - 89
>
Scan
Original
51
52
53
41
54
42
55
43
56
44
57
45
58
46
59
47
60
48
61
49
62
50
63
51
64
52
65
53
66
54
67
55
68
56
69
57
70
58
71
59
72
60
73
61
74
62
75
63
76
64
77
65
78
66
79
67
80
68
<
1 - 30
31 - 60
61 - 89
>
page
|<
<
(50)
of 89
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div65
"
type
="
section
"
level
="
1
"
n
="
37
">
<
pb
o
="
50
"
file
="
0062
"
n
="
62
"
rhead
="
PROMOTVS
"/>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s932
"
xml:space
="
preserve
">Quæro denique magnitudinem diametri ſpbæræ ctanneæ, graui-
<
lb
/>
tatem babentis 38, lib. </
s
>
<
s
xml:id
="
echoid-s933
"
xml:space
="
preserve
">in linea 38, lib. </
s
>
<
s
xml:id
="
echoid-s934
"
xml:space
="
preserve
">ſub titulo magnitudinis dia-
<
lb
/>
metri ſpbæræ ctanneæ, datur quæſita diametri magnitudo 6, ad
<
lb
/>
vnguem.</
s
>
<
s
xml:id
="
echoid-s935
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s936
"
xml:space
="
preserve
">Notandum autem ect, quod numeri, qui diametrorum magnitu-
<
lb
/>
dines denotant, non ſunt veri, ac certi, ſed veris bene proximi, quoniã
<
lb
/>
numeri, quorum ipſi ſunt radices cubicæ, non ſunt cubi, & </
s
>
<
s
xml:id
="
echoid-s937
"
xml:space
="
preserve
">ideo ipſæ
<
lb
/>
radices non explicantur accurate, ſed vel veris maiores, velminores,
<
lb
/>
atque vt cognoſcantur quæ ſint maiores, queue minores, maioribus
<
lb
/>
duo puncta adiecimus, minoribus vnum, accuratis nullum. </
s
>
<
s
xml:id
="
echoid-s938
"
xml:space
="
preserve
">inter om-
<
lb
/>
nes autem vnus ect accuratus, is ſcilicet, qui magnitudinem indicat
<
lb
/>
diametri ſpbæræ ctanneæ, grauitatem babentis 38, lib.</
s
>
<
s
xml:id
="
echoid-s939
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s940
"
xml:space
="
preserve
">De compoſitione huius Tabulæ.</
s
>
<
s
xml:id
="
echoid-s941
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s942
"
xml:space
="
preserve
">Huius tabulæ compoſitio pendet ex præcedenti tabula, & </
s
>
<
s
xml:id
="
echoid-s943
"
xml:space
="
preserve
">ex pro-
<
lb
/>
poſ. </
s
>
<
s
xml:id
="
echoid-s944
"
xml:space
="
preserve
">17, buius, ſienim fiat vt grauitas ſphæræ ctanneæ, diametrum
<
lb
/>
babentis vnius vnciæ, id ect, vt grana 1216, ad grauitatem ſphæræ
<
lb
/>
vnius libræ, idect, ad grana 6912, ita cubus diametri vnius vnciæ,
<
lb
/>
boc eſt, ita 1, ad alium numerum, qui ſit 5 {13/19} is erit cubus diametri
<
lb
/>
ſpbæræ ctanneæ, grauitatem babentis 1, lib. </
s
>
<
s
xml:id
="
echoid-s945
"
xml:space
="
preserve
">demonctratum enim
<
lb
/>
ect prop. </
s
>
<
s
xml:id
="
echoid-s946
"
xml:space
="
preserve
">17, buius, ſpbæras eiuſdem generis inter ſe eſſe in grauitate,
<
lb
/>
vt diametrorum cubi in magnitudine; </
s
>
<
s
xml:id
="
echoid-s947
"
xml:space
="
preserve
">quare radix cubica numeri
<
lb
/>
5 {13/19}, dabit ipſam diametrum, ſed quoniam numerus 5 {13/19}, non ect
<
lb
/>
præciſe cubus, eius radix non explicabitur accurata, ſed vt explicetur
<
lb
/>
veræ bene proxima, multiplicetur 5 {13/19}, per 1000000. </
s
>
<
s
xml:id
="
echoid-s948
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s949
"
xml:space
="
preserve
">ex producto
<
lb
/>
5684210 {10/19}, neglecto fracto {10/19}, eruatur radix, tanquam ex accu-
<
lb
/>
rato numero cubo, ea erit 178, proxime, & </
s
>
<
s
xml:id
="
echoid-s950
"
xml:space
="
preserve
">erit centupla radicis nu-
<
lb
/>
meri 5 {13/19}, nam numerus 1000000, per quem fuit multiplicatus
<
lb
/>
5 {13/19}, cubus eſt ex 100; </
s
>
<
s
xml:id
="
echoid-s951
"
xml:space
="
preserve
">magnitudo igitur diametri ſpbæræ ſtanneæ,
<
lb
/>
grauitatem babentis 1, lib. </
s
>
<
s
xml:id
="
echoid-s952
"
xml:space
="
preserve
">erit 1 {78/100}. </
s
>
<
s
xml:id
="
echoid-s953
"
xml:space
="
preserve
">reliquarum autem ex ſtanno
<
lb
/>
ſpbærarum, grauitatem babentium duplam primæ, triplam, quadru-
<
lb
/>
plam & </
s
>
<
s
xml:id
="
echoid-s954
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s955
"
xml:space
="
preserve
">ita inuenientur diametri.</
s
>
<
s
xml:id
="
echoid-s956
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s957
"
xml:space
="
preserve
">Duplum numeri 5684210 {10/19}, id ect 11368421 {1/19}, erit cubus
<
lb
/>
centupli diametri ſpberæ ctanneæ, grauitatem babentis duplam pri-
<
lb
/>
mæ, boc ect 2, lib. </
s
>
<
s
xml:id
="
echoid-s958
"
xml:space
="
preserve
">ex ſupra nominata enim prop. </
s
>
<
s
xml:id
="
echoid-s959
"
xml:space
="
preserve
">17, buius, eſt vt gra-
<
lb
/>
uitas ſpbæræ vnius libræ, ad grauitatem ſpbæræ duarum librarum,
<
lb
/>
ita cubus diametri primæ ſpbæræ, ad cubum diametri ſecundæ. </
s
>
<
s
xml:id
="
echoid-s960
"
xml:space
="
preserve
">Si
<
lb
/>
vero triplicetur numerus 5684210 {10/19}, eius triplum, quod ect
<
lb
/>
17052631 {11/19}, erit cubus centupli diametri ſpbæræ ſtanneæ, graui-
<
lb
/>
statem babentis triplam primæ, idect 3, lib. </
s
>
<
s
xml:id
="
echoid-s961
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s962
"
xml:space
="
preserve
">ſi quadruplicetur, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>