Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
Scan
Original
71
71
72
72
73
73
74
74
75
75
76
76
77
77
78
79
80
81
81
82
82
83
83
84
84
85
85
86
86
87
87
88
88
89
89
90
90
91
91
92
92
93
93
94
94
95
95
96
96
97
97
98
98
99
99
100
100
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
page
|<
<
(94)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div403
"
type
="
section
"
level
="
1
"
n
="
291
">
<
p
>
<
s
xml:id
="
echoid-s2850
"
xml:space
="
preserve
">
<
pb
o
="
94
"
file
="
527.01.094
"
n
="
94
"
rhead
="
3 L*IBER* S*TATICÆ*
"/>
ipſi M æquipondium hinc ſuſpendi opus ſit per 3 propoſ. </
s
>
<
s
xml:id
="
echoid-s2851
"
xml:space
="
preserve
">I lib. </
s
>
<
s
xml:id
="
echoid-s2852
"
xml:space
="
preserve
">inquirito, hoc
<
lb
/>
modo, cum I L ſubquintupla ſit rectæ IN,
<
lb
/>
<
figure
xlink:label
="
fig-527.01.094-01
"
xlink:href
="
fig-527.01.094-01a
"
number
="
136
">
<
image
file
="
527.01.094-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.094-01
"/>
</
figure
>
quinta pars ponderis M 1400 ℔ ex N pun-
<
lb
/>
cto, ſcilicet O 280 ℔, priori æquipondia
<
lb
/>
concludetur, ſed ponderis O ab N deſcen-
<
lb
/>
dentis per 13 propoſ. </
s
>
<
s
xml:id
="
echoid-s2853
"
xml:space
="
preserve
">I lib. </
s
>
<
s
xml:id
="
echoid-s2854
"
xml:space
="
preserve
">Statices tanta po-
<
lb
/>
tentia eſt, quanta ejuſdem ad K attollentis,
<
lb
/>
I K enim & </
s
>
<
s
xml:id
="
echoid-s2855
"
xml:space
="
preserve
">I N ex hypotheſi æquantur.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2856
"
xml:space
="
preserve
">Quamobrem vis qua K attollitur, tollet
<
lb
/>
pondus 280 ℔ in vecte ad punctum B. </
s
>
<
s
xml:id
="
echoid-s2857
"
xml:space
="
preserve
">Si-
<
lb
/>
milibus diagrammatis Staticus mechanicorum paradigmatum, quæ brevitatis
<
lb
/>
ſtudio in hæc paucula contraximus, cauſas inquiret.</
s
>
<
s
xml:id
="
echoid-s2858
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div405
"
type
="
section
"
level
="
1
"
n
="
292
">
<
head
xml:id
="
echoid-head307
"
xml:space
="
preserve
">8 PROPOSITIO.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2859
"
xml:space
="
preserve
">Ponderum geſtatorum formas & </
s
>
<
s
xml:id
="
echoid-s2860
"
xml:space
="
preserve
">rationes inquirere.</
s
>
<
s
xml:id
="
echoid-s2861
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2862
"
xml:space
="
preserve
">D*ATVM.</
s
>
<
s
xml:id
="
echoid-s2863
"
xml:space
="
preserve
">* Exponantur ſcalæ A B quarum extrema, ut ferè ſolent, diſpari
<
lb
/>
ſintgravitate, cujus onus duobus palangariis æquali pondere partiendum, ut
<
lb
/>
axis C D horizonti parallelus perpetuò maneat.</
s
>
<
s
xml:id
="
echoid-s2864
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div406
"
type
="
section
"
level
="
1
"
n
="
293
">
<
head
xml:id
="
echoid-head308
"
xml:space
="
preserve
">CONSTRVCTIO.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2865
"
xml:space
="
preserve
">Scalas in acie aliqua huc illuc verſato donec partium æquamentum invene-
<
lb
/>
ris in E, & </
s
>
<
s
xml:id
="
echoid-s2866
"
xml:space
="
preserve
">ſi crebrò alio transferendę ſint notam iſtic incidito, deinde perpen-
<
lb
/>
dicularis ab E ducta occurrat axi C D in F, denique ſignato duo puncta G, H,
<
lb
/>
æquidiſtanter ab E F, ajo hic in G iſtic in Hæquale pondus à palangariis ſu-
<
lb
/>
ſtineri.</
s
>
<
s
xml:id
="
echoid-s2867
"
xml:space
="
preserve
"/>
</
p
>
<
figure
number
="
137
">
<
image
file
="
527.01.094-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.094-02
"/>
</
figure
>
<
p
>
<
s
xml:id
="
echoid-s2868
"
xml:space
="
preserve
">Sin autem alterum alterius duplum perferre opus ſit, unius ab E F diſtantia
<
lb
/>
reliqui fiat dupla ut A E ipſius E I; </
s
>
<
s
xml:id
="
echoid-s2869
"
xml:space
="
preserve
">atque is qui ad I duplo pondere premetur
<
lb
/>
reſpectu ejus qui ad H. </
s
>
<
s
xml:id
="
echoid-s2870
"
xml:space
="
preserve
">Simili via onera diſtribuentur palangariis pro ratio-
<
lb
/>
ne data.</
s
>
<
s
xml:id
="
echoid-s2871
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2872
"
xml:space
="
preserve
">QV *Æ* ſcalarum ſpeciali exemplo oſtendimus, de quolibet ſolido corpore
<
lb
/>
intelligas, ut in diagrammatis ſubjectis perſpicitur; </
s
>
<
s
xml:id
="
echoid-s2873
"
xml:space
="
preserve
">memineris autem li-
<
lb
/>
neas planorum quę per perinordinatorum corporum gravitatis centrum ducuntur
<
lb
/>
in ipſorum ſuperficie per I prop. </
s
>
<
s
xml:id
="
echoid-s2874
"
xml:space
="
preserve
">deſignari; </
s
>
<
s
xml:id
="
echoid-s2875
"
xml:space
="
preserve
">perpendiculares item per G, H actas
<
lb
/>
ipſi E F parallelas eſſe.</
s
>
<
s
xml:id
="
echoid-s2876
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>